%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV596-1 : 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 : n023.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 16:47:59 EDT 2024 % Result : Unsatisfiable 1.85s 1.81s % Output : CNFRefutation 1.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV596-1 : TPTP v8.2.0. Released v4.1.0. % 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n023.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Thu Jun 20 18:34:39 EDT 2024 % 0.12/0.33 % CPUTime : % 0.18/0.55 start to proof:theBenchmark % 1.65/1.74 %------------------------------------------- % 1.65/1.74 % File :CSE---1.7 % 1.65/1.74 % Problem :theBenchmark % 1.65/1.74 % Transform :cnf % 1.65/1.74 % Format :tptp:raw % 1.65/1.74 % Command :java -jar mcs_scs.jar %d %s % 1.65/1.74 % 1.65/1.74 % Result :Theorem 0.780000s % 1.65/1.74 % Output :CNFRefutation 0.780000s % 1.65/1.74 %------------------------------------------- % 1.65/1.74 %------------------------------------------------------------------------------ % 1.65/1.74 % File : SWV596-1 : TPTP v8.2.0. Released v4.1.0. % 1.65/1.74 % Domain : Software Verification % 1.65/1.74 % Problem : Fast Fourier Transform 134_34 % 1.65/1.74 % Version : Especial. % 1.65/1.75 % English : Formalization of a functional implementation of the FFT algorithm % 1.65/1.75 % over the complex numbers, and its inverse. Both are shown % 1.65/1.75 % equivalent to the usual definitions of these operations through % 1.65/1.75 % Vandermonde matrices. They are also shown to be inverse to each % 1.65/1.75 % other, more precisely, that composition of the inverse and the % 1.65/1.75 % transformation yield the identity up to a scalar. % 1.65/1.75 % 1.65/1.75 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 1.65/1.75 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 1.65/1.75 % Source : [Nip10] % 1.65/1.75 % Names : FFT-134_34 [Nip10] % 1.65/1.75 % 1.65/1.75 % Status : Unsatisfiable % 1.65/1.75 % Rating : 0.20 v8.2.0, 0.24 v8.1.0, 0.05 v7.5.0, 0.16 v7.4.0, 0.12 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.27 v6.3.0, 0.18 v6.2.0, 0.30 v6.1.0, 0.43 v6.0.0, 0.40 v5.5.0, 0.70 v5.3.0, 0.67 v5.2.0, 0.69 v5.1.0, 0.71 v5.0.0, 0.57 v4.1.0 % 1.65/1.75 % Syntax : Number of clauses : 1255 ( 188 unt; 151 nHn; 753 RR) % 1.65/1.75 % Number of literals : 3465 ( 711 equ;2068 neg) % 1.65/1.75 % Maximal clause size : 6 ( 2 avg) % 1.65/1.75 % Maximal term depth : 6 ( 1 avg) % 1.65/1.75 % Number of predicates : 81 ( 80 usr; 0 prp; 1-3 aty) % 1.65/1.75 % Number of functors : 34 ( 34 usr; 5 con; 0-3 aty) % 1.65/1.75 % Number of variables : 3353 ( 161 sgn) % 1.65/1.75 % SPC : CNF_UNS_RFO_SEQ_NHN % 1.65/1.75 % 1.65/1.75 % Comments : % 1.65/1.75 %------------------------------------------------------------------------------ % 1.65/1.75 cnf(cls_DERIV__inverse__lemma_0,axiom, % 1.65/1.75 ( ~ class_RealVector_Oreal__normed__field(T_a) % 1.65/1.75 | 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) % 1.65/1.75 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.65/1.75 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_inverse__negative__imp__negative_0,axiom, % 1.65/1.75 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.75 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.75 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 1.65/1.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_inverse__divide_0,axiom, % 1.65/1.75 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.65/1.75 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.75 | 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) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_minus__max__eq__min_0,axiom, % 1.65/1.75 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.75 | ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.65/1.75 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omin(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_mult__mono1_0,axiom, % 1.65/1.75 ( ~ class_Ring__and__Field_Omult__mono1(T_a) % 1.65/1.75 | 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) % 1.65/1.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.75 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_mult__left__mono_0,axiom, % 1.65/1.75 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 1.65/1.75 | 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) % 1.65/1.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.75 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_mult__right__mono_0,axiom, % 1.65/1.75 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 1.65/1.75 | 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) % 1.65/1.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.75 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_mult__left__mono__neg_0,axiom, % 1.65/1.75 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.65/1.75 | 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) % 1.65/1.75 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.75 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_mult__right__mono__neg_0,axiom, % 1.65/1.75 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.65/1.75 | 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) % 1.65/1.75 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.75 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_sup__eq__if_1,axiom, % 1.65/1.75 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.75 | ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.65/1.75 | c_Lattices_Oupper__semilattice__class_Osup(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a % 1.65/1.75 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_ge__one__powr__ge__zero_0,axiom, % 1.65/1.75 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(V_x,V_a),tc_RealDef_Oreal) % 1.65/1.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_a,tc_RealDef_Oreal) % 1.65/1.75 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_prts_0,axiom, % 1.65/1.75 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.65/1.75 | V_a = c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a),T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom, % 1.65/1.75 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.65/1.75 | ~ class_Int_Onumber__ring(T_a) % 1.65/1.75 | 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) % 1.65/1.75 | V_c = V_d % 1.65/1.75 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_real__sum__squares__cancel_0,axiom, % 1.65/1.75 ( 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) % 1.65/1.75 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_real__sum__squares__cancel2_0,axiom, % 1.65/1.75 ( 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) % 1.65/1.75 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_sum__squares__eq__zero__iff_0,axiom, % 1.65/1.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.75 | 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) % 1.65/1.75 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_sum__squares__eq__zero__iff_1,axiom, % 1.65/1.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.75 | 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) % 1.65/1.75 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_real__vector_Oscale__one_0,axiom, % 1.65/1.75 ( ~ class_RealVector_Oreal__vector(T_a) % 1.65/1.75 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,T_a) = V_x ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_inverse__unique_0,axiom, % 1.65/1.75 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.65/1.75 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a) % 1.65/1.75 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = V_b ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_divide__less__eq_0,axiom, % 1.65/1.75 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.75 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.75 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.65/1.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_divide__less__eq_6,axiom, % 1.65/1.75 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.75 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.75 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.65/1.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.75 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_less__divide__eq_0,axiom, % 1.65/1.75 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.75 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.75 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.65/1.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.75 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_less__divide__eq_6,axiom, % 1.65/1.75 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.75 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.75 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.65/1.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_mult__imp__div__pos__less_0,axiom, % 1.65/1.75 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.75 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) % 1.65/1.75 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a) % 1.65/1.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_mult__imp__less__div__pos_0,axiom, % 1.65/1.75 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.75 | c_HOL_Oord__class_Oless(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 1.65/1.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a) % 1.65/1.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_le__supE_0,axiom, % 1.65/1.75 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.65/1.75 | c_lessequals(V_a,V_x,T_a) % 1.65/1.75 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_le__supE_1,axiom, % 1.65/1.75 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.65/1.75 | c_lessequals(V_b,V_x,T_a) % 1.65/1.75 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_le__supI1_0,axiom, % 1.65/1.75 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.65/1.75 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 1.65/1.75 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_le__supI2_0,axiom, % 1.65/1.75 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.65/1.75 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 1.65/1.75 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_le__sup__iff_0,axiom, % 1.65/1.75 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.65/1.75 | c_lessequals(V_x,V_z,T_a) % 1.65/1.75 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_le__sup__iff_1,axiom, % 1.65/1.75 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.65/1.75 | c_lessequals(V_y,V_z,T_a) % 1.65/1.75 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_zero__le__dist_0,axiom, % 1.65/1.75 ( ~ class_RealVector_Ometric__space(T_a) % 1.65/1.75 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(V_x,V_y,T_a),tc_RealDef_Oreal) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_zero__less__divide__iff_0,axiom, % 1.65/1.75 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.75 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.75 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.75 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.65/1.75 | ~ 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) ) ). % 1.65/1.75 % 1.65/1.75 cnf(cls_zero__less__divide__iff_1,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.76 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.76 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.65/1.76 | ~ 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) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_zero__less__divide__iff_2,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.76 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.76 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.65/1.76 | ~ 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) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_zero__less__divide__iff_3,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.76 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.76 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.65/1.76 | ~ 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) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_divide__nonneg__neg_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.76 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.76 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_divide__nonpos__pos_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.76 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.65/1.76 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_mult__idem_0,axiom, % 1.65/1.76 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 1.65/1.76 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_mult__strict__mono_H_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.65/1.76 | 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) % 1.65/1.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.65/1.76 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 1.65/1.76 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_inverse__eq__iff__eq_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.65/1.76 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.76 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a) % 1.65/1.76 | V_a = V_b ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_of__real__mult_0,axiom, % 1.65/1.76 ( ~ class_RealVector_Oreal__algebra__1(T_a) % 1.65/1.76 | c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal),T_a) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(V_x,T_a),c_RealVector_Oof__real(V_y,T_a),T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_zmod__simps_I2_J_0,axiom, % 1.65/1.76 ( ~ class_Divides_Osemiring__div(T_a) % 1.65/1.76 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_zmod__simps_I1_J_0,axiom, % 1.65/1.76 ( ~ class_Divides_Osemiring__div(T_a) % 1.65/1.76 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_real__sqrt__eq__iff_0,axiom, % 1.65/1.76 ( c_NthRoot_Osqrt(V_x) != c_NthRoot_Osqrt(V_y) % 1.65/1.76 | V_x = V_y ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_pos__add__strict_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.65/1.76 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 1.65/1.76 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 1.65/1.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_of__real__inverse_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.76 | ~ class_RealVector_Oreal__div__algebra(T_a) % 1.65/1.76 | c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(V_x,tc_RealDef_Oreal),T_a) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(V_x,T_a),T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_dvd__mult__right_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.65/1.76 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a) % 1.65/1.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_dvd__mult__left_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.65/1.76 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 1.65/1.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_dvd__mult2_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.65/1.76 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 1.65/1.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_dvd__mult_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.65/1.76 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 1.65/1.76 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_real__sqrt__ge__zero_0,axiom, % 1.65/1.76 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal) % 1.65/1.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_real__sqrt__ge__0__iff_0,axiom, % 1.65/1.76 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.65/1.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_real__sqrt__ge__0__iff_1,axiom, % 1.65/1.76 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) % 1.65/1.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_sup__inf__distrib2_0,axiom, % 1.65/1.76 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.65/1.76 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_sup__inf__distrib1_0,axiom, % 1.65/1.76 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.65/1.76 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_add__minus__cancel_0,axiom, % 1.65/1.76 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.65/1.76 | 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 ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_abs__le__D2_0,axiom, % 1.65/1.76 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.65/1.76 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 1.65/1.76 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_cos__le__one_0,axiom, % 1.65/1.76 c_lessequals(c_Transcendental_Ocos(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_mult__pos__neg2_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.65/1.76 | 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) % 1.65/1.76 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_mult__pos__neg_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.65/1.76 | 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) % 1.65/1.76 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_mult__neg__pos_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.65/1.76 | 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) % 1.65/1.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.65/1.76 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_mult__le__0__iff_3,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.76 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.65/1.76 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.76 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_mult__le__0__iff_2,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.76 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.76 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.76 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_mult__le__0__iff_1,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.76 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.65/1.76 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.65/1.76 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_mult__le__0__iff_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.76 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.76 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.65/1.76 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_zero__less__dist__iff_1,axiom, % 1.65/1.76 ( ~ class_RealVector_Ometric__space(T_a) % 1.65/1.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(V_x,V_y,T_a),tc_RealDef_Oreal) % 1.65/1.76 | V_x = V_y ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_mod__add__self2_0,axiom, % 1.65/1.76 ( ~ class_Divides_Osemiring__div(T_a) % 1.65/1.76 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_mod__add__self1_0,axiom, % 1.65/1.76 ( ~ class_Divides_Osemiring__div(T_a) % 1.65/1.76 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_b,V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_abs__less__iff_2,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.65/1.76 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) % 1.65/1.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 1.65/1.76 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_tan__npi_0,axiom, % 1.65/1.76 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) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_inf__greatest_0,axiom, % 1.65/1.76 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.65/1.76 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) % 1.65/1.76 | ~ c_lessequals(V_x,V_z,T_a) % 1.65/1.76 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_le__inf__iff_2,axiom, % 1.65/1.76 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.65/1.76 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) % 1.65/1.76 | ~ c_lessequals(V_x,V_z,T_a) % 1.65/1.76 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_le__infI_0,axiom, % 1.65/1.76 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.65/1.76 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) % 1.65/1.76 | ~ c_lessequals(V_x,V_b,T_a) % 1.65/1.76 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_inf__le2_0,axiom, % 1.65/1.76 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.65/1.76 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_inf__le1_0,axiom, % 1.65/1.76 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.65/1.76 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_inf__sup__ord_I2_J_0,axiom, % 1.65/1.76 ( ~ class_Lattices_Olattice(T_a) % 1.65/1.76 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_inf__sup__ord_I1_J_0,axiom, % 1.65/1.76 ( ~ class_Lattices_Olattice(T_a) % 1.65/1.76 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_one__dvd_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.65/1.76 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_real__mult__is__one_0,axiom, % 1.65/1.76 ( c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) % 1.65/1.76 | V_x = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.65/1.76 | V_x = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_real__squared__diff__one__factored_0,axiom, % 1.65/1.76 c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_neg__le__0__iff__le_1,axiom, % 1.65/1.76 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.65/1.76 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_neg__le__0__iff__le_0,axiom, % 1.65/1.76 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.65/1.76 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.65/1.76 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_one__less__inverse__iff_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.76 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 1.65/1.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_mult__left__idem_0,axiom, % 1.65/1.76 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 1.65/1.76 | 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) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_less__add__one_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.65/1.76 | 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) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_le__eq__neg_1,axiom, % 1.65/1.76 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.65/1.76 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 1.65/1.76 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_le__eq__neg_0,axiom, % 1.65/1.76 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.65/1.76 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.76 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_real__add__le__0__iff_0,axiom, % 1.65/1.76 ( c_lessequals(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.65/1.76 | ~ 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) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_real__add__le__0__iff_1,axiom, % 1.65/1.76 ( 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) % 1.65/1.76 | ~ c_lessequals(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_minus__mult__right_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Oring(T_a) % 1.65/1.76 | 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) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_minus__mult__left_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Oring(T_a) % 1.65/1.76 | 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) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_dist__not__less__zero_0,axiom, % 1.65/1.76 ( ~ class_RealVector_Ometric__space(T_a) % 1.65/1.76 | ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_mult__frac__frac_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.65/1.76 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.76 | 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) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_abs__eq__mult_3,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 1.65/1.76 | 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) % 1.65/1.76 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.76 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_abs__eq__mult_2,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 1.65/1.76 | 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) % 1.65/1.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.65/1.76 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_abs__eq__mult_1,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 1.65/1.76 | 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) % 1.65/1.76 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_abs__eq__mult_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 1.65/1.76 | 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) % 1.65/1.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.65/1.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_abs__mult_0,axiom, % 1.65/1.76 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.65/1.76 | 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) ) ). % 1.65/1.76 % 1.65/1.76 cnf(cls_add__le__cancel__right_1,axiom, % 1.65/1.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.65/1.77 | 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) % 1.65/1.77 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_add__le__cancel__right_0,axiom, % 1.65/1.77 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.65/1.77 | c_lessequals(V_a,V_b,T_a) % 1.65/1.77 | ~ 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_add__le__cancel__left_1,axiom, % 1.65/1.77 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.65/1.77 | 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) % 1.65/1.77 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_add__le__cancel__left_0,axiom, % 1.65/1.77 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.65/1.77 | c_lessequals(V_a,V_b,T_a) % 1.65/1.77 | ~ 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_add__right__mono_0,axiom, % 1.65/1.77 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 1.65/1.77 | 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) % 1.65/1.77 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_add__left__mono_0,axiom, % 1.65/1.77 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 1.65/1.77 | 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) % 1.65/1.77 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_real__add__left__mono_0,axiom, % 1.65/1.77 ( 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) % 1.65/1.77 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_dvd__mult__cancel__right_1,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.65/1.77 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_dvd__mult__cancel__left_1,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.65/1.77 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a),T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_norm__triangle__ineq4_0,axiom, % 1.65/1.77 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.65/1.77 | 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_dvd__trans_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.65/1.77 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 1.65/1.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a) % 1.65/1.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_dvd__refl_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.65/1.77 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_less__infI2_0,axiom, % 1.65/1.77 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.65/1.77 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 1.65/1.77 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_less__infI1_0,axiom, % 1.65/1.77 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.65/1.77 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 1.65/1.77 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_inf__sup__absorb_0,axiom, % 1.65/1.77 ( ~ class_Lattices_Olattice(T_a) % 1.65/1.77 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_abs__of__nonneg_0,axiom, % 1.65/1.77 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.65/1.77 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 1.65/1.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_min__max_Osup__idem_0,axiom, % 1.65/1.77 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.77 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.65/1.77 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.65/1.77 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.65/1.77 | V_x = V_y ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 1.65/1.77 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.77 | V_x = V_y % 1.65/1.77 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.65/1.77 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_linorder__antisym__conv3_0,axiom, % 1.65/1.77 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.77 | V_x = V_y % 1.65/1.77 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.65/1.77 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_linorder__less__linear_0,axiom, % 1.65/1.77 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.77 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.65/1.77 | V_x = V_y % 1.65/1.77 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_order__antisym__conv_0,axiom, % 1.65/1.77 ( ~ class_Orderings_Oorder(T_a) % 1.65/1.77 | V_x = V_y % 1.65/1.77 | ~ c_lessequals(V_x,V_y,T_a) % 1.65/1.77 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_order__eq__iff_2,axiom, % 1.65/1.77 ( ~ class_Orderings_Oorder(T_a) % 1.65/1.77 | V_x = V_y % 1.65/1.77 | ~ c_lessequals(V_y,V_x,T_a) % 1.65/1.77 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_linorder__neqE_0,axiom, % 1.65/1.77 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.77 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.65/1.77 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.65/1.77 | V_x = V_y ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_order__antisym_0,axiom, % 1.65/1.77 ( ~ class_Orderings_Oorder(T_a) % 1.65/1.77 | V_x = V_y % 1.65/1.77 | ~ c_lessequals(V_y,V_x,T_a) % 1.65/1.77 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_real__le__antisym_0,axiom, % 1.65/1.77 ( V_z = V_w % 1.65/1.77 | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal) % 1.65/1.77 | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_compl__eq__compl__iff_0,axiom, % 1.65/1.77 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.65/1.77 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a) % 1.65/1.77 | V_x = V_y ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_neg__equal__iff__equal_0,axiom, % 1.65/1.77 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.65/1.77 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 1.65/1.77 | V_a = V_b ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_cos__monotone__minus__pi__0_H_0,axiom, % 1.65/1.77 ( c_lessequals(c_Transcendental_Ocos(V_y),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal) % 1.65/1.77 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.65/1.77 | ~ c_lessequals(V_y,V_x,tc_RealDef_Oreal) % 1.65/1.77 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_real__sqrt__not__eq__zero_0,axiom, % 1.65/1.77 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.65/1.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_eq__divide__imp_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.65/1.77 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 1.65/1.77 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_divide__eq__imp_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.65/1.77 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 1.65/1.77 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_estimate__by__abs_0,axiom, % 1.65/1.77 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 1.65/1.77 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) % 1.65/1.77 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_eq__divide__eq_3,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.65/1.77 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.77 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) % 1.65/1.77 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_divide__eq__eq_3,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.65/1.77 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.77 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a % 1.65/1.77 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_min__max_Oinf__idem_0,axiom, % 1.65/1.77 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.77 | c_Orderings_Oord__class_Omin(V_x,V_x,T_a) = V_x ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_divide__le__0__1__iff_1,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.77 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.77 | 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) % 1.65/1.77 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_divide__le__0__1__iff_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.77 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.77 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.77 | ~ 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_distrib__sup__le_0,axiom, % 1.65/1.77 ( ~ class_Lattices_Olattice(T_a) % 1.65/1.77 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_abs__le__zero__iff_0,axiom, % 1.65/1.77 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.65/1.77 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 1.65/1.77 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_zero__le__iff__zero__nprt_1,axiom, % 1.65/1.77 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.65/1.77 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.65/1.77 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_zero__le__iff__zero__nprt_0,axiom, % 1.65/1.77 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.65/1.77 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 1.65/1.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_inverse__less__1__iff_1,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.77 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.77 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 1.65/1.77 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_abs__lattice_0,axiom, % 1.65/1.77 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 1.65/1.77 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_norm__add__less_0,axiom, % 1.65/1.77 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.65/1.77 | 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) % 1.65/1.77 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal) % 1.65/1.77 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_inf__period_I4_J_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Odvd(T_a) % 1.65/1.77 | ~ class_Ring__and__Field_Ocomm__ring(T_a) % 1.65/1.77 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a) % 1.65/1.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a) % 1.65/1.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_inf__period_I4_J_1,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Odvd(T_a) % 1.65/1.77 | ~ class_Ring__and__Field_Ocomm__ring(T_a) % 1.65/1.77 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a) % 1.65/1.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a) % 1.65/1.77 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_min__max_Osup__inf__distrib1_0,axiom, % 1.65/1.77 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.77 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_min__max_Osup__inf__distrib2_0,axiom, % 1.65/1.77 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.77 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_x,T_a),c_Orderings_Oord__class_Omax(V_z,V_x,T_a),T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_order__less__le_2,axiom, % 1.65/1.77 ( ~ class_Orderings_Oorder(T_a) % 1.65/1.77 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.65/1.77 | V_x = V_y % 1.65/1.77 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_order__le__less_0,axiom, % 1.65/1.77 ( ~ class_Orderings_Oorder(T_a) % 1.65/1.77 | V_x = V_y % 1.65/1.77 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.65/1.77 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_real__less__def_2,axiom, % 1.65/1.77 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 1.65/1.77 | V_x = V_y % 1.65/1.77 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_order__le__neq__trans_0,axiom, % 1.65/1.77 ( ~ class_Orderings_Oorder(T_a) % 1.65/1.77 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.65/1.77 | V_a = V_b % 1.65/1.77 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_order__neq__le__trans_0,axiom, % 1.65/1.77 ( ~ class_Orderings_Oorder(T_a) % 1.65/1.77 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.65/1.77 | ~ c_lessequals(V_a,V_b,T_a) % 1.65/1.77 | V_a = V_b ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_linorder__antisym__conv1_0,axiom, % 1.65/1.77 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.77 | V_x = V_y % 1.65/1.77 | ~ c_lessequals(V_x,V_y,T_a) % 1.65/1.77 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_linorder__antisym__conv2_0,axiom, % 1.65/1.77 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.77 | V_x = V_y % 1.65/1.77 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.65/1.77 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_xt1_I12_J_0,axiom, % 1.65/1.77 ( ~ class_Orderings_Oorder(T_a) % 1.65/1.77 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.65/1.77 | ~ c_lessequals(V_b,V_a,T_a) % 1.65/1.77 | V_a = V_b ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_xt1_I11_J_0,axiom, % 1.65/1.77 ( ~ class_Orderings_Oorder(T_a) % 1.65/1.77 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.65/1.77 | V_a = V_b % 1.65/1.77 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_divide__right__mono_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.77 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.77 | 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) % 1.65/1.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.77 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_divide__right__mono__neg_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.77 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.77 | 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) % 1.65/1.77 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.77 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_inverse__minus__eq_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.65/1.77 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.77 | 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_split__mult__pos__le_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.65/1.77 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.65/1.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.65/1.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_split__mult__pos__le_1,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.65/1.77 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.65/1.77 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.77 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_mult__nonpos__nonpos_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.65/1.77 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.65/1.77 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.77 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_zero__le__square_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.77 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_zero__le__mult__iff_4,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.77 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.65/1.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.65/1.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_zero__le__mult__iff_5,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.77 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.65/1.77 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.77 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_mult__nonneg__nonneg_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.65/1.77 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.65/1.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.65/1.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_norm__mult__less_0,axiom, % 1.65/1.77 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.65/1.77 | 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) % 1.65/1.77 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal) % 1.65/1.77 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_right__inverse__eq_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.65/1.77 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a) % 1.65/1.77 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.65/1.77 | V_a = V_b ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_real__0__less__add__iff_0,axiom, % 1.65/1.77 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.65/1.77 | ~ 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_real__0__less__add__iff_1,axiom, % 1.65/1.77 ( 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) % 1.65/1.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_class__ring_Oneg__mul_0,axiom, % 1.65/1.77 ( ~ class_Int_Onumber__ring(T_a) % 1.65/1.77 | 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_of__real__def_0,axiom, % 1.65/1.77 ( ~ class_RealVector_Oreal__algebra__1(T_a) % 1.65/1.77 | c_RealVector_Oof__real(V_r,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_abs__triangle__ineq2_0,axiom, % 1.65/1.77 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.65/1.77 | 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom, % 1.65/1.77 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 1.65/1.77 | 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.65/1.77 | 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.65/1.77 | 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.65/1.77 | 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.65/1.77 | 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_real__mult__assoc_0,axiom, % 1.65/1.77 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) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_class__semiring_Omul__a_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.65/1.77 | 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.65/1.77 | 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_mult__right_Oadd_0,axiom, % 1.65/1.77 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.65/1.77 | 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_mult_Oadd__right_0,axiom, % 1.65/1.77 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.65/1.77 | 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_mult__left_Oadd_0,axiom, % 1.65/1.77 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.65/1.77 | 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_mult_Oadd__left_0,axiom, % 1.65/1.77 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.65/1.77 | 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_real__add__mult__distrib_0,axiom, % 1.65/1.77 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) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_class__semiring_Omul__d_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.65/1.77 | 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_comm__semiring__class_Odistrib_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a) % 1.65/1.77 | 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_frac__less_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.77 | 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) % 1.65/1.77 | ~ c_lessequals(V_w,V_z,T_a) % 1.65/1.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 1.65/1.77 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.65/1.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_tan__minus_0,axiom, % 1.65/1.77 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) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom, % 1.65/1.77 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.65/1.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.65/1.77 | ~ 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom, % 1.65/1.77 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.65/1.77 | 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) % 1.65/1.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_less__supI1_0,axiom, % 1.65/1.77 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.65/1.77 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 1.65/1.77 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_less__supI2_0,axiom, % 1.65/1.77 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.65/1.77 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 1.65/1.77 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_minus__divide__right_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.65/1.77 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.77 | 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_minus__divide__left_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.65/1.77 | 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_one__le__inverse__iff_2,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.77 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.77 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) % 1.65/1.77 | ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 1.65/1.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_zero__le__mult__iff_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.77 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.77 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.65/1.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_zero__le__mult__iff_1,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.77 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.77 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.65/1.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_zero__le__mult__iff_2,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.77 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.77 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.65/1.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_zero__le__mult__iff_3,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.77 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.77 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.65/1.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_min__max_Osup__left__idem_0,axiom, % 1.65/1.77 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.77 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omax(V_x,V_y,T_a) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_sin__le__one_0,axiom, % 1.65/1.77 c_lessequals(c_Transcendental_Osin(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_sum__squares__gt__zero__iff_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.77 | ~ 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) ) ). % 1.65/1.77 % 1.65/1.77 cnf(cls_nonzero__inverse__eq__divide_0,axiom, % 1.65/1.77 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_abs__one_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.65/1.78 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_real__eq__refl_0,axiom, % 1.65/1.78 c_HOL_Oeq__class_Oeq(V_x,V_x,tc_RealDef_Oreal) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_eq__class_Oeq__refl_0,axiom, % 1.65/1.78 ( ~ class_HOL_Oeq(T_a) % 1.65/1.78 | c_HOL_Oeq__class_Oeq(V_x,V_x,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_zero__less__two_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_mult_Ominus__left_0,axiom, % 1.65/1.78 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_mult__left_Ominus_0,axiom, % 1.65/1.78 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_mult_Ominus__right_0,axiom, % 1.65/1.78 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_mult__right_Ominus_0,axiom, % 1.65/1.78 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_square__eq__iff_1,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_minus__mult__minus_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oring(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_real__mult__inverse__left_0,axiom, % 1.65/1.78 ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_x,tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) % 1.65/1.78 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_field__inverse_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_left__inverse_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_right__inverse_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_mult__mono_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.65/1.78 | ~ c_lessequals(V_c,V_d,T_a) % 1.65/1.78 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_mult__mono_H_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.65/1.78 | ~ c_lessequals(V_c,V_d,T_a) % 1.65/1.78 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_max__add__distrib__left_0,axiom, % 1.65/1.78 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.65/1.78 | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_norm__ge__zero_0,axiom, % 1.65/1.78 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.65/1.78 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_divide__less__eq_2,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_divide__less__eq_3,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_divide__less__eq_8,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_divide__less__eq_9,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_less__divide__eq_2,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_less__divide__eq_3,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_less__divide__eq_8,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_less__divide__eq_9,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_of__real__minus_0,axiom, % 1.65/1.78 ( ~ class_RealVector_Oreal__algebra__1(T_a) % 1.65/1.78 | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(V_x,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_of__real_Ominus_0,axiom, % 1.65/1.78 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.65/1.78 | ~ class_RealVector_Oreal__algebra__1(T_a) % 1.65/1.78 | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(V_x,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_mult__less__cancel__left__disj_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.78 | ~ 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_mult__less__cancel__left__disj_3,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.65/1.78 | ~ 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_mult__less__cancel__right__disj_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.78 | ~ 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_mult__less__cancel__right__disj_3,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.65/1.78 | ~ 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_pprt__neg_0,axiom, % 1.65/1.78 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.65/1.78 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_x,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_mod__minus__eq_0,axiom, % 1.65/1.78 ( ~ class_Divides_Oring__div(T_a) % 1.65/1.78 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a),V_b,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_NthRoot_Oroot__def_2,axiom, % 1.65/1.78 ( c_NthRoot_Oroot(V_n,V_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.65/1.78 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_min__max_Osup__inf__absorb_0,axiom, % 1.65/1.78 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.78 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = V_x ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_real__sqrt__mult__self__sum__ge__zero_0,axiom, % 1.65/1.78 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) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_dist__le__zero__iff_1,axiom, % 1.65/1.78 ( ~ class_RealVector_Ometric__space(T_a) % 1.65/1.78 | c_lessequals(c_RealVector_Odist__class_Odist(V_x,V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_sup__0__imp__0_0,axiom, % 1.65/1.78 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.65/1.78 | c_Lattices_Oupper__semilattice__class_Osup(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.65/1.78 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_sum__squares__le__zero__iff_2,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_add__nonpos__neg_0,axiom, % 1.65/1.78 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_add__neg__nonpos_0,axiom, % 1.65/1.78 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_neg__less__iff__less_1,axiom, % 1.65/1.78 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_neg__less__iff__less_0,axiom, % 1.65/1.78 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.65/1.78 | ~ 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_nonzero__inverse__scaleR__distrib_0,axiom, % 1.65/1.78 ( ~ class_RealVector_Oreal__div__algebra(T_a) % 1.65/1.78 | c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(V_a,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) % 1.65/1.78 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 1.65/1.78 | V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_inverse__scaleR__distrib_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | ~ class_RealVector_Oreal__div__algebra(T_a) % 1.65/1.78 | c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(V_a,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_abs__div__pos_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_le__divide__eq_8,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.65/1.78 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_divide__le__eq_8,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.65/1.78 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_not__sum__squares__lt__zero_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.78 | ~ 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_inf__left__commute_0,axiom, % 1.65/1.78 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.65/1.78 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_inf__assoc_0,axiom, % 1.65/1.78 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.65/1.78 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_inf__sup__aci_I3_J_0,axiom, % 1.65/1.78 ( ~ class_Lattices_Olattice(T_a) % 1.65/1.78 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_inf__sup__aci_I2_J_0,axiom, % 1.65/1.78 ( ~ class_Lattices_Olattice(T_a) % 1.65/1.78 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_abs__less__iff_1,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_zero__less__mult__pos2_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.65/1.78 | ~ 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_zero__less__mult__pos_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.65/1.78 | ~ 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_mult__pos__pos_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_mult__neg__neg_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_real__mult__order_0,axiom, % 1.65/1.78 ( 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) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom, % 1.65/1.78 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom, % 1.65/1.78 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | ~ 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_even__less__0__iff_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | ~ 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_even__less__0__iff_1,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_powr__minus_0,axiom, % 1.65/1.78 c_Log_Opowr(V_x,c_HOL_Ouminus__class_Ouminus(V_a,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Oinverse(c_Log_Opowr(V_x,V_a),tc_RealDef_Oreal) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_real__of__nat__inject_0,axiom, % 1.65/1.78 ( c_RealDef_Oreal(V_n,tc_nat) != c_RealDef_Oreal(V_m,tc_nat) % 1.65/1.78 | V_n = V_m ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_add__nonneg__eq__0__iff_1,axiom, % 1.65/1.78 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.65/1.78 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.65/1.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.65/1.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 1.65/1.78 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_add__nonneg__eq__0__iff_0,axiom, % 1.65/1.78 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.65/1.78 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.65/1.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.65/1.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 1.65/1.78 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_powr__mono2_0,axiom, % 1.65/1.78 ( c_lessequals(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_y,V_a),tc_RealDef_Oreal) % 1.65/1.78 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) % 1.65/1.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_a,tc_RealDef_Oreal) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_sin__add_0,axiom, % 1.65/1.78 c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Osin(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_abs__of__neg_0,axiom, % 1.65/1.78 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.65/1.78 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_abs__if_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oabs__if(T_a) % 1.65/1.78 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_abs__if__lattice_0,axiom, % 1.65/1.78 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.78 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 1.65/1.78 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_square__eq__iff_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.65/1.78 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a) % 1.65/1.78 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 1.65/1.78 | V_a = V_b ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_mult__less__imp__less__right_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.65/1.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.78 | ~ 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_mult__less__imp__less__left_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.65/1.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.78 | ~ 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_mult__right__less__imp__less_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.65/1.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.78 | ~ 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_mult__left__less__imp__less_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.65/1.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.78 | ~ 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_mult__imp__le__div__pos_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | c_lessequals(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 1.65/1.78 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_mult__imp__div__pos__le_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) % 1.65/1.78 | ~ c_lessequals(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_le__divide__eq_6,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.78 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_le__divide__eq_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.78 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_divide__le__eq_6,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.78 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_divide__le__eq_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.78 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_real__add__minus__iff_0,axiom, % 1.65/1.78 ( 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) % 1.65/1.78 | V_x = V_a ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_real__sqrt__eq__1__iff_0,axiom, % 1.65/1.78 ( c_NthRoot_Osqrt(V_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) % 1.65/1.78 | V_x = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_inverse__le__1__iff_1,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 1.65/1.78 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_norm__mult__ineq_0,axiom, % 1.65/1.78 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_sum__squares__ge__zero_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_real__mult__self__sum__ge__zero_0,axiom, % 1.65/1.78 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) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_arctan__monotone_H_0,axiom, % 1.65/1.78 ( c_lessequals(c_Transcendental_Oarctan(V_x),c_Transcendental_Oarctan(V_y),tc_RealDef_Oreal) % 1.65/1.78 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_zero__le__divide__1__iff_1,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_zero__le__divide__1__iff_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.65/1.78 | ~ 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_zero__less__dist__iff_0,axiom, % 1.65/1.78 ( ~ class_RealVector_Ometric__space(T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(V_x,V_x,T_a),tc_RealDef_Oreal) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_minus__min__eq__max_0,axiom, % 1.65/1.78 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.78 | ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.65/1.78 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omax(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_dvd__mod__imp__dvd_0,axiom, % 1.65/1.78 ( ~ class_Divides_Osemiring__div(T_a) % 1.65/1.78 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) % 1.65/1.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) % 1.65/1.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_dvd__mod__iff_1,axiom, % 1.65/1.78 ( ~ class_Divides_Osemiring__div(T_a) % 1.65/1.78 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) % 1.65/1.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) % 1.65/1.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_dvd__mod__iff_0,axiom, % 1.65/1.78 ( ~ class_Divides_Osemiring__div(T_a) % 1.65/1.78 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) % 1.65/1.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) % 1.65/1.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_dvd__mod_0,axiom, % 1.65/1.78 ( ~ class_Divides_Osemiring__div(T_a) % 1.65/1.78 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) % 1.65/1.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) % 1.65/1.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_le__add__iff2_1,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | ~ 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_le__add__iff2_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | ~ 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_le__add__iff1_1,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | ~ 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_le__add__iff1_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | ~ 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_divide__le__0__iff_5,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.65/1.78 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_divide__le__0__iff_4,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_powr__powr__swap_0,axiom, % 1.65/1.78 c_Log_Opowr(c_Log_Opowr(V_x,V_a),V_b) = c_Log_Opowr(c_Log_Opowr(V_x,V_b),V_a) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_add__eq__inf__sup_0,axiom, % 1.65/1.78 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.65/1.78 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_add__increasing2_0,axiom, % 1.65/1.78 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.65/1.78 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.65/1.78 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 1.65/1.78 | ~ c_lessequals(V_b,V_a,T_a) % 1.65/1.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_add__increasing_0,axiom, % 1.65/1.78 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.65/1.78 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.65/1.78 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 1.65/1.78 | ~ c_lessequals(V_b,V_c,T_a) % 1.65/1.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_scaleR__minus__right_0,axiom, % 1.65/1.78 ( ~ class_RealVector_Oreal__vector(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_scaleR_Ominus__right_0,axiom, % 1.65/1.78 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_scaleR__minus__left_0,axiom, % 1.65/1.78 ( ~ class_RealVector_Oreal__vector(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_scaleR__left_Ominus_0,axiom, % 1.65/1.78 ( ~ class_RealVector_Oreal__vector(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_scaleR_Ominus__left_0,axiom, % 1.65/1.78 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_min__max_Oinf__sup__distrib2_0,axiom, % 1.65/1.78 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.78 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_x,T_a),c_Orderings_Oord__class_Omin(V_z,V_x,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_min__max_Oinf__sup__distrib1_0,axiom, % 1.65/1.78 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.78 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_abs__minus__le__zero_0,axiom, % 1.65/1.78 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_of__real__eq__iff_0,axiom, % 1.65/1.78 ( ~ class_RealVector_Oreal__algebra__1(T_a) % 1.65/1.78 | c_RealVector_Oof__real(V_x,T_a) != c_RealVector_Oof__real(V_y,T_a) % 1.65/1.78 | V_x = V_y ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_min__max_Ole__sup__iff_2,axiom, % 1.65/1.78 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.78 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) % 1.65/1.78 | ~ c_lessequals(V_y,V_z,T_a) % 1.65/1.78 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_min__max_Osup__least_0,axiom, % 1.65/1.78 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.78 | c_lessequals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) % 1.65/1.78 | ~ c_lessequals(V_z,V_x,T_a) % 1.65/1.78 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_min__max_Ole__supI_0,axiom, % 1.65/1.78 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.78 | c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) % 1.65/1.78 | ~ c_lessequals(V_b,V_x,T_a) % 1.65/1.78 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_le__maxI1_0,axiom, % 1.65/1.78 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.78 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_le__maxI2_0,axiom, % 1.65/1.78 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.78 | c_lessequals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_eq__add__iff2_1,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oring(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_neg__le__iff__le_0,axiom, % 1.65/1.78 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.65/1.78 | c_lessequals(V_a,V_b,T_a) % 1.65/1.78 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_le__imp__neg__le_0,axiom, % 1.65/1.78 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.65/1.78 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 1.65/1.78 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_abs__le__mult_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Olordered__ring(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_abs__le__D1_0,axiom, % 1.65/1.78 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.65/1.78 | c_lessequals(V_a,V_b,T_a) % 1.65/1.78 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_sin__cos__squared__add3_0,axiom, % 1.65/1.78 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Osin(V_x),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_mult__strict__mono_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_inverse__eq__divide_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_class__fieldgb_Oinverse__divide_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.65/1.78 | ~ class_Int_Onumber__ring(T_a) % 1.65/1.78 | 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) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_zmod__simps_I4_J_0,axiom, % 1.65/1.78 ( ~ class_Divides_Osemiring__div(T_a) % 1.65/1.78 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_divide__left__mono__neg_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | ~ 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) % 1.65/1.78 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_compl__sup_0,axiom, % 1.65/1.78 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.65/1.78 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_neg__sup__eq__inf_0,axiom, % 1.65/1.78 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.65/1.78 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_divide__neg__neg_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_divide__pos__pos_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_zero__less__divide__iff_4,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_zero__less__divide__iff_5,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_zero__le__pprt_0,axiom, % 1.65/1.78 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.65/1.78 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_min__max_Odistrib__inf__le_0,axiom, % 1.65/1.78 ( ~ class_Orderings_Olinorder(T_a) % 1.65/1.78 | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_of__real__1_0,axiom, % 1.65/1.78 ( ~ class_RealVector_Oreal__algebra__1(T_a) % 1.65/1.78 | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_real__sqrt__le__1__iff_1,axiom, % 1.65/1.78 ( c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.65/1.78 | ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_real__sqrt__le__1__iff_0,axiom, % 1.65/1.78 ( c_lessequals(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.65/1.78 | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_one__less__inverse__iff_1,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.65/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.65/1.78 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 1.65/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_dvd__add_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.65/1.78 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 1.65/1.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 1.65/1.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_inverse__add_0,axiom, % 1.65/1.78 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.65/1.78 | 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) % 1.65/1.78 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.65/1.78 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.65/1.78 % 1.65/1.78 cnf(cls_division__ring__inverse__add_0,axiom, % 1.79/1.78 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.79/1.78 | 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) % 1.79/1.78 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.79/1.78 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_min__max_Osup__commute_0,axiom, % 1.79/1.78 ( ~ class_Orderings_Olinorder(T_a) % 1.79/1.78 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_gt__half__sum_0,axiom, % 1.79/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.79/1.78 | 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) % 1.79/1.78 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_less__half__sum_0,axiom, % 1.79/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.79/1.78 | 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) % 1.79/1.78 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_cos__arctan__not__zero_0,axiom, % 1.79/1.78 c_Transcendental_Ocos(c_Transcendental_Oarctan(V_x)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_add__frac__num_0,axiom, % 1.79/1.78 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.79/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.79/1.78 | 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) % 1.79/1.78 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_add__num__frac_0,axiom, % 1.79/1.78 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.79/1.78 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.79/1.78 | 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) % 1.79/1.78 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_real__sum__squares__cancel__a_0,axiom, % 1.79/1.78 ( 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) % 1.79/1.78 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_real__sum__squares__cancel__a_1,axiom, % 1.79/1.78 ( 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) % 1.79/1.78 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 1.79/1.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.79/1.78 | 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) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_Deriv_Oinverse__diff__inverse_0,axiom, % 1.79/1.78 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.79/1.78 | 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) % 1.79/1.78 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.79/1.78 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_real__diff__def_0,axiom, % 1.79/1.78 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) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_diff__def_0,axiom, % 1.79/1.78 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.79/1.78 | 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) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_class__ring_Osub__add_0,axiom, % 1.79/1.78 ( ~ class_Int_Onumber__ring(T_a) % 1.79/1.78 | 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) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_diff__minus_0,axiom, % 1.79/1.78 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.79/1.78 | 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) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_ab__diff__minus_0,axiom, % 1.79/1.78 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.79/1.78 | 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) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_nonzero__minus__divide__divide_0,axiom, % 1.79/1.78 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.79/1.78 | 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) % 1.79/1.78 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_dvd__minus__iff_0,axiom, % 1.79/1.78 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 1.79/1.78 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) % 1.79/1.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_dvd__minus__iff_1,axiom, % 1.79/1.78 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 1.79/1.78 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) % 1.79/1.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_minus__dvd__iff_0,axiom, % 1.79/1.78 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 1.79/1.78 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) % 1.79/1.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_minus__dvd__iff_1,axiom, % 1.79/1.78 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 1.79/1.78 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) % 1.79/1.78 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_dist__triangle_0,axiom, % 1.79/1.78 ( ~ class_RealVector_Ometric__space(T_a) % 1.79/1.78 | c_lessequals(c_RealVector_Odist__class_Odist(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(V_x,V_y,T_a),c_RealVector_Odist__class_Odist(V_y,V_z,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_dist__triangle2_0,axiom, % 1.79/1.78 ( ~ class_RealVector_Ometric__space(T_a) % 1.79/1.78 | c_lessequals(c_RealVector_Odist__class_Odist(V_x,V_y,T_a),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(V_x,V_z,T_a),c_RealVector_Odist__class_Odist(V_y,V_z,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_dist__triangle3_0,axiom, % 1.79/1.78 ( ~ class_RealVector_Ometric__space(T_a) % 1.79/1.78 | c_lessequals(c_RealVector_Odist__class_Odist(V_x,V_y,T_a),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(V_a,V_x,T_a),c_RealVector_Odist__class_Odist(V_a,V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_le__infE_0,axiom, % 1.79/1.78 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.79/1.78 | c_lessequals(V_x,V_a,T_a) % 1.79/1.78 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_le__infE_1,axiom, % 1.79/1.78 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.79/1.78 | c_lessequals(V_x,V_b,T_a) % 1.79/1.78 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_le__infI1_0,axiom, % 1.79/1.78 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.79/1.78 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 1.79/1.78 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_le__infI2_0,axiom, % 1.79/1.78 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.79/1.78 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 1.79/1.78 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_le__inf__iff_0,axiom, % 1.79/1.78 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.79/1.78 | c_lessequals(V_x,V_y,T_a) % 1.79/1.78 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_le__inf__iff_1,axiom, % 1.79/1.78 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.79/1.78 | c_lessequals(V_x,V_z,T_a) % 1.79/1.78 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_divide__strict__right__mono_0,axiom, % 1.79/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.79/1.78 | 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) % 1.79/1.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.79/1.78 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_divide__strict__right__mono__neg_0,axiom, % 1.79/1.78 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.79/1.78 | 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) % 1.79/1.78 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.79/1.79 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_divide__nonneg__pos_0,axiom, % 1.79/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.79/1.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 1.79/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.79/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_divide__nonpos__neg_0,axiom, % 1.79/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.79/1.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 1.79/1.79 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.79/1.79 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_mult__left__le__one__le_0,axiom, % 1.79/1.79 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.79/1.79 | c_lessequals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a) % 1.79/1.79 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a) % 1.79/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.79/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_mult__right__le__one__le_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a) % 1.80/1.79 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_powr__mono_0,axiom, % 1.80/1.79 ( c_lessequals(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) % 1.80/1.79 | ~ c_lessequals(V_a,V_b,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__add__distrib__left_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.80/1.79 | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_divide__1_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.80/1.79 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_abs__leI_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 1.80/1.79 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_abs__le__iff_2,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 1.80/1.79 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_abs__minus__cancel_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__less__sum__gt__zero_0,axiom, % 1.80/1.79 ( 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) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_W,V_S,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__sum__gt__zero__less_0,axiom, % 1.80/1.79 ( c_HOL_Oord__class_Oless(V_W,V_S,tc_RealDef_Oreal) % 1.80/1.79 | ~ 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.80/1.79 | ~ class_Int_Onumber__ring(T_a) % 1.80/1.79 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) % 1.80/1.79 | V_y = V_z ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_add__imp__eq_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 1.80/1.79 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 1.80/1.79 | V_b = V_c ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_add__left__cancel_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 1.80/1.79 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 1.80/1.79 | V_b = V_c ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_add__right__cancel_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 1.80/1.79 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) % 1.80/1.79 | V_b = V_c ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_powr__gt__zero_0,axiom, % 1.80/1.79 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(V_x,V_a),tc_RealDef_Oreal) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_not__square__less__zero_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.80/1.79 | ~ 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult__le__0__iff_4,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult__le__0__iff_5,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.80/1.79 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_split__mult__neg__le_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_split__mult__neg__le_1,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.80/1.79 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult__nonneg__nonpos_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult__nonpos__nonneg_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.80/1.79 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult__nonneg__nonpos2_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inverse__mult__distrib_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_nonzero__inverse__mult__distrib_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.80/1.79 | 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) % 1.80/1.79 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.80/1.79 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_abs__le__zero__iff_1,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_cos__monotone__minus__pi__0_0,axiom, % 1.80/1.79 ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(V_y),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_y,V_x,tc_RealDef_Oreal) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_add__nonneg__pos_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.80/1.79 | 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) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_add__pos__nonneg_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.80/1.79 | 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) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_cos__monotone__0__pi_0,axiom, % 1.80/1.79 ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_lessequals(V_x,c_Transcendental_Opi,tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_y,V_x,tc_RealDef_Oreal) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_dvd__imp__mod__0_0,axiom, % 1.80/1.79 ( ~ class_Divides_Osemiring__div(T_a) % 1.80/1.79 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 1.80/1.79 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_dvd__eq__mod__eq__0_1,axiom, % 1.80/1.79 ( ~ class_Divides_Osemiring__div(T_a) % 1.80/1.79 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.80/1.79 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_nonzero__norm__inverse_0,axiom, % 1.80/1.79 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a) % 1.80/1.79 | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) % 1.80/1.79 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_distrib__inf__le_0,axiom, % 1.80/1.79 ( ~ class_Lattices_Olattice(T_a) % 1.80/1.79 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inf__sup__ord_I3_J_0,axiom, % 1.80/1.79 ( ~ class_Lattices_Olattice(T_a) % 1.80/1.79 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inf__sup__ord_I4_J_0,axiom, % 1.80/1.79 ( ~ class_Lattices_Olattice(T_a) % 1.80/1.79 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_le__supI_0,axiom, % 1.80/1.79 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.80/1.79 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) % 1.80/1.79 | ~ c_lessequals(V_b,V_x,T_a) % 1.80/1.79 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_sup__ge1_0,axiom, % 1.80/1.79 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.80/1.79 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_sup__ge2_0,axiom, % 1.80/1.79 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.80/1.79 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_sup__least_0,axiom, % 1.80/1.79 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.80/1.79 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) % 1.80/1.79 | ~ c_lessequals(V_z,V_x,T_a) % 1.80/1.79 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_le__sup__iff_2,axiom, % 1.80/1.79 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.80/1.79 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) % 1.80/1.79 | ~ c_lessequals(V_y,V_z,T_a) % 1.80/1.79 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_norm__one_0,axiom, % 1.80/1.79 ( ~ class_RealVector_Oreal__normed__algebra__1(T_a) % 1.80/1.79 | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_divide__le__eq_5,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_divide__le__eq_7,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_le__divide__eq_5,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.80/1.79 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_le__divide__eq_7,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.80/1.79 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_cos__zero_0,axiom, % 1.80/1.79 c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__sqrt__gt__0__iff_1,axiom, % 1.80/1.79 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__sqrt__gt__0__iff_0,axiom, % 1.80/1.79 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__sqrt__gt__zero_0,axiom, % 1.80/1.79 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_dist__commute_0,axiom, % 1.80/1.79 ( ~ class_RealVector_Ometric__space(T_a) % 1.80/1.79 | c_RealVector_Odist__class_Odist(V_x,V_y,T_a) = c_RealVector_Odist__class_Odist(V_y,V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__max_Oinf__assoc_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_divide__left__mono_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | 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) % 1.80/1.79 | ~ 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) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.80/1.79 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__max_Oinf__greatest_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) % 1.80/1.79 | ~ c_lessequals(V_x,V_z,T_a) % 1.80/1.79 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__max_Ole__inf__iff_2,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) % 1.80/1.79 | ~ c_lessequals(V_x,V_z,T_a) % 1.80/1.79 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__max_Ole__infI_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) % 1.80/1.79 | ~ c_lessequals(V_x,V_b,T_a) % 1.80/1.79 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__max_Oinf__le2_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_y,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__max_Oinf__le1_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_max__less__iff__conj_2,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_not__real__of__nat__less__zero_0,axiom, % 1.80/1.79 ~ c_HOL_Oord__class_Oless(c_RealDef_Oreal(V_n,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_norm__not__less__zero_0,axiom, % 1.80/1.79 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.80/1.79 | ~ 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_cos__periodic__pi_0,axiom, % 1.80/1.79 c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(V_x),tc_RealDef_Oreal) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult__1__right_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 1.80/1.79 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult__1__left_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 1.80/1.79 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult__1_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 1.80/1.79 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_class__semiring_Omul__1_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.80/1.79 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__mult__1_0,axiom, % 1.80/1.79 c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) = V_z ). % 1.80/1.79 % 1.80/1.79 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.80/1.79 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.80/1.79 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_dvd__triv__right_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.80/1.79 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_dvd__triv__left_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.80/1.79 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_dvdI_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Odvd(T_a) % 1.80/1.79 | c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_abs__prts_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 1.80/1.79 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_arctan_2,axiom, % 1.80/1.79 c_Transcendental_Otan(c_Transcendental_Oarctan(V_y)) = V_y ). % 1.80/1.79 % 1.80/1.79 cnf(cls_frac__less2_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | 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) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_w,V_z,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 1.80/1.79 | ~ c_lessequals(V_x,V_y,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_nonzero__minus__divide__right_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.80/1.79 | 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) % 1.80/1.79 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_neg__less__0__iff__less_1,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_neg__less__0__iff__less_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__less__iff__conj_2,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.80/1.79 | ~ class_Int_Onumber__ring(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_class__ringb_Onoteq__reduce_1,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.80/1.79 | ~ class_Int_Onumber__ring(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_arctan__minus_0,axiom, % 1.80/1.79 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) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_abs__triangle__ineq3_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__max_Oinf__left__idem_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omin(V_x,V_y,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_abs__mult__less_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.80/1.79 | 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) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_norm__inverse_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | ~ class_RealVector_Oreal__normed__div__algebra(T_a) % 1.80/1.79 | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inverse__inverse__eq_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__sqrt__lt__0__iff_0,axiom, % 1.80/1.79 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__sqrt__lt__0__iff_1,axiom, % 1.80/1.79 ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inf__sup__distrib2_0,axiom, % 1.80/1.79 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.80/1.79 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inf__sup__distrib1_0,axiom, % 1.80/1.79 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.80/1.79 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_add__nonneg__eq__0__iff_2,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_class__semiring_Omul__c_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.80/1.79 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__mult__commute_0,axiom, % 1.80/1.79 c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.80/1.79 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mod__add__eq_0,axiom, % 1.80/1.79 ( ~ class_Divides_Osemiring__div(T_a) % 1.80/1.79 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_add__sup__distrib__right_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Olordered__ab__group__add__join(T_a) % 1.80/1.79 | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_add__sup__distrib__left_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Olordered__ab__group__add__join(T_a) % 1.80/1.79 | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_b,V_c,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I4_J_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.80/1.79 | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_b,V_c,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I3_J_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.80/1.79 | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_sup__idem_0,axiom, % 1.80/1.79 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.80/1.79 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_xt1_I10_J_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Oorder(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_order__less__trans_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Opreorder(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_class__semiring_Oadd__a_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_add__cancel__21_1,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_scaleR__conv__of__real_0,axiom, % 1.80/1.79 ( ~ class_RealVector_Oreal__algebra__1(T_a) % 1.80/1.79 | c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(V_r,T_a),V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_abs__triangle__ineq_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_cos__add_0,axiom, % 1.80/1.79 c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Osin(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_less__le__not__le_1,axiom, % 1.80/1.79 ( ~ class_Orderings_Opreorder(T_a) % 1.80/1.79 | ~ c_lessequals(V_y,V_x,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_not__leE_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.80/1.79 | c_lessequals(V_y,V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_linorder__antisym__conv2_1,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | ~ c_lessequals(V_x,V_x,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_linorder__antisym__conv1_1,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_x,V_x,T_a) % 1.80/1.79 | c_lessequals(V_x,V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_linorder__not__less_1,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.80/1.79 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_linorder__not__less_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_lessequals(V_y,V_x,T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_linorder__not__le_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.80/1.79 | c_lessequals(V_x,V_y,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_linorder__not__le_1,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | ~ c_lessequals(V_x,V_y,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_right__inverse__eq_1,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.80/1.79 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 1.80/1.79 | c_HOL_Oinverse__class_Odivide(V_x,V_x,T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_divide__self_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.80/1.79 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 1.80/1.79 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_divide__self__if_1,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 1.80/1.79 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mod__add__right__eq_0,axiom, % 1.80/1.79 ( ~ class_Divides_Osemiring__div(T_a) % 1.80/1.79 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mod__add__left__eq_0,axiom, % 1.80/1.79 ( ~ class_Divides_Osemiring__div(T_a) % 1.80/1.79 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_zero__le__divide__iff_3,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_zero__le__divide__iff_2,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_zero__le__divide__iff_1,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_zero__le__divide__iff_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_add__strict__increasing2_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.80/1.79 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__max_Oinf__sup__absorb_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = V_x ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inverse__le__1__iff_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a) % 1.80/1.79 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_diff__eq_0,axiom, % 1.80/1.79 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.80/1.79 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult__right__le__imp__le_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.80/1.79 | c_lessequals(V_a,V_b,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.80/1.79 | ~ 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult__left__le__imp__le_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.80/1.79 | c_lessequals(V_a,V_b,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.80/1.79 | ~ 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult__le__cancel__left__pos_1,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.80/1.79 | 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) % 1.80/1.79 | ~ c_lessequals(V_a,V_b,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult__le__cancel__left__pos_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.80/1.79 | c_lessequals(V_a,V_b,T_a) % 1.80/1.79 | ~ 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) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult__le__cancel__left__neg_1,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.80/1.79 | 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) % 1.80/1.79 | ~ c_lessequals(V_b,V_a,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult__le__cancel__left__neg_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.80/1.79 | c_lessequals(V_b,V_a,T_a) % 1.80/1.79 | ~ 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) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__mult__le__cancel__iff2_1,axiom, % 1.80/1.79 ( 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) % 1.80/1.79 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__mult__le__cancel__iff2_0,axiom, % 1.80/1.79 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.80/1.79 | ~ 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) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__mult__le__cancel__iff1_1,axiom, % 1.80/1.79 ( 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) % 1.80/1.79 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__mult__le__cancel__iff1_0,axiom, % 1.80/1.79 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.80/1.79 | ~ 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) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_sup__left__commute_0,axiom, % 1.80/1.79 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.80/1.79 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_sup__assoc_0,axiom, % 1.80/1.79 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.80/1.79 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inf__sup__aci_I7_J_0,axiom, % 1.80/1.79 ( ~ class_Lattices_Olattice(T_a) % 1.80/1.79 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inf__sup__aci_I6_J_0,axiom, % 1.80/1.79 ( ~ class_Lattices_Olattice(T_a) % 1.80/1.79 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_minus__divide__divide_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_divide_Ominus_0,axiom, % 1.80/1.79 ( ~ class_RealVector_Oreal__normed__field(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__max_Oinf__left__commute_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(V_y,c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.80/1.79 | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.80/1.79 | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_add__inf__distrib__left_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a) % 1.80/1.79 | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_add__inf__distrib__right_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a) % 1.80/1.79 | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_neg__0__le__iff__le_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.80/1.79 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_neg__0__le__iff__le_1,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 1.80/1.79 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult_OscaleR__left_0,axiom, % 1.80/1.79 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult__left_OscaleR_0,axiom, % 1.80/1.79 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult_OscaleR__right_0,axiom, % 1.80/1.79 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult__right_OscaleR_0,axiom, % 1.80/1.79 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult__scaleR__left_0,axiom, % 1.80/1.79 ( ~ class_RealVector_Oreal__algebra(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult__scaleR__right_0,axiom, % 1.80/1.79 ( ~ class_RealVector_Oreal__algebra(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__max_Ole__iff__inf_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_x % 1.80/1.79 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__max_Ole__iff__inf_1,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) != V_x % 1.80/1.79 | c_lessequals(V_x,V_y,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__max_Oinf__absorb2_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_y % 1.80/1.79 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_nonzero__abs__inverse_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | 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) % 1.80/1.79 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_nonzero__abs__divide_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | 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) % 1.80/1.79 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inverse__positive__imp__positive_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.80/1.79 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_norm__diff__ineq_0,axiom, % 1.80/1.79 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_add__cancel__21_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.80/1.79 | 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) % 1.80/1.79 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult__le__prts_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Olordered__ring(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a2,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_b2,T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a1,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_b2,T_a),T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a2,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_b1,T_a),T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a1,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_b1,T_a),T_a),T_a),T_a) % 1.80/1.79 | ~ c_lessequals(V_b,V_b2,T_a) % 1.80/1.79 | ~ c_lessequals(V_b1,V_b,T_a) % 1.80/1.79 | ~ c_lessequals(V_a,V_a2,T_a) % 1.80/1.79 | ~ c_lessequals(V_a1,V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__max_Ole__iff__sup_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_y % 1.80/1.79 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__max_Ole__iff__sup_1,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) != V_y % 1.80/1.79 | c_lessequals(V_x,V_y,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__max_Osup__absorb1_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_x % 1.80/1.79 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__sqrt__eq__zero__cancel_0,axiom, % 1.80/1.79 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) % 1.80/1.79 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_nprt__neg_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.80/1.79 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_x,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_le__zero__iff__pprt__id_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.80/1.79 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a) = V_a % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_le__zero__iff__pprt__id_1,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.80/1.79 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a) != V_a % 1.80/1.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inverse__less__imp__less_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.80/1.79 | ~ 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_less__imp__inverse__less_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | 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) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inverse__less__imp__less__neg_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_less__imp__inverse__less__neg_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | 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) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_add__nonneg__nonneg_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__sqrt__le__iff_1,axiom, % 1.80/1.79 ( c_lessequals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__sqrt__le__iff_0,axiom, % 1.80/1.79 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.80/1.79 | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_divide_OscaleR_0,axiom, % 1.80/1.79 ( ~ class_RealVector_Oreal__normed__field(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_add__mono_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 1.80/1.79 | 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) % 1.80/1.79 | ~ c_lessequals(V_c,V_d,T_a) % 1.80/1.79 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_powr__less__cancel__iff_1,axiom, % 1.80/1.79 ( c_HOL_Oord__class_Oless(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_powr__less__cancel__iff_0,axiom, % 1.80/1.79 ( c_HOL_Oord__class_Oless(V_a,V_b,tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_powr__less__cancel_0,axiom, % 1.80/1.79 ( c_HOL_Oord__class_Oless(V_a,V_b,tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_powr__less__mono_0,axiom, % 1.80/1.79 ( c_HOL_Oord__class_Oless(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inverse__nonnegative__iff__nonnegative_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inverse__nonnegative__iff__nonnegative_1,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_sup__eq__if_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.80/1.79 | c_Lattices_Oupper__semilattice__class_Osup(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inf__0__imp__0_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.80/1.79 | c_Lattices_Olower__semilattice__class_Oinf(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.80/1.79 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_powr__le__cancel__iff_1,axiom, % 1.80/1.79 ( c_lessequals(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_lessequals(V_a,V_b,tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_powr__le__cancel__iff_0,axiom, % 1.80/1.79 ( c_lessequals(V_a,V_b,tc_RealDef_Oreal) % 1.80/1.79 | ~ c_lessequals(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_divide__less__0__1__iff_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_divide__less__0__1__iff_1,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | 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) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_DERIV__mult__lemma_0,axiom, % 1.80/1.79 ( ~ class_RealVector_Oreal__field(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mod__mod__trivial_0,axiom, % 1.80/1.79 ( ~ class_Divides_Osemiring__div(T_a) % 1.80/1.79 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_abs__diff__triangle__ineq_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_add__strict__increasing_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.80/1.79 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 1.80/1.79 | ~ c_lessequals(V_b,V_c,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_powr__mult_0,axiom, % 1.80/1.79 ( c_Log_Opowr(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal),V_a) = c_HOL_Otimes__class_Otimes(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_y,V_a),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_powr__one__gt__zero__iff_1,axiom, % 1.80/1.79 ( c_Log_Opowr(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = V_x % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_powr__one__gt__zero__iff_0,axiom, % 1.80/1.79 ( c_Log_Opowr(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) != V_x % 1.80/1.79 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_arctan__monotone_0,axiom, % 1.80/1.79 ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(V_x),c_Transcendental_Oarctan(V_y),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_le__minus__self__iff_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.80/1.79 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_le__minus__self__iff_1,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.80/1.79 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 1.80/1.79 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_minus__le__self__iff_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_minus__le__self__iff_1,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_less__eq__neg__nonpos_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 1.80/1.79 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_less__eq__neg__nonpos_1,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 1.80/1.79 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 1.80/1.79 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_neg__less__eq__nonneg_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_neg__less__eq__nonneg_1,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_eq__add__iff1_1,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oring(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_dvd__mult__cancel__left_2,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.80/1.79 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.80/1.79 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_dvd__mult__cancel__right_2,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.80/1.79 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 1.80/1.79 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__add__less__0__iff_0,axiom, % 1.80/1.79 ( c_HOL_Oord__class_Oless(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.80/1.79 | ~ 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__add__less__0__iff_1,axiom, % 1.80/1.79 ( 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) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_abs__idempotent_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_eq__add__iff1_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oring(T_a) % 1.80/1.79 | 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) % 1.80/1.79 | 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 ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_eq__add__iff2_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oring(T_a) % 1.80/1.79 | 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) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_zero__less__abs__iff_1,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) % 1.80/1.79 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_norm__minus__cancel_0,axiom, % 1.80/1.79 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__sqrt__minus_0,axiom, % 1.80/1.79 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) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_le__zero__iff__zero__pprt_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.80/1.79 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 1.80/1.79 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_le__zero__iff__zero__pprt_1,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.80/1.79 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.80/1.79 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_scaleR_OscaleR__right_0,axiom, % 1.80/1.79 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_scaleR__left__commute_0,axiom, % 1.80/1.79 ( ~ class_RealVector_Oreal__vector(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_scaleR__right_OscaleR_0,axiom, % 1.80/1.79 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_not__real__square__gt__zero_1,axiom, % 1.80/1.79 ~ 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) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult__ge__prts_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Olordered__ring(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a1,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_b2,T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a2,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_b2,T_a),T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a1,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_b1,T_a),T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a2,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_b1,T_a),T_a),T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.80/1.79 | ~ c_lessequals(V_b,V_b2,T_a) % 1.80/1.79 | ~ c_lessequals(V_b1,V_b,T_a) % 1.80/1.79 | ~ c_lessequals(V_a,V_a2,T_a) % 1.80/1.79 | ~ c_lessequals(V_a1,V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.80/1.79 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_class__semiring_Oadd__c_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.80/1.79 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.80/1.79 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_divide__le__0__iff_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_divide__le__0__iff_1,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.80/1.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_divide__le__0__iff_2,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_divide__le__0__iff_3,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.80/1.79 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inverse__le__imp__le_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | c_lessequals(V_b,V_a,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_le__imp__inverse__le_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.80/1.79 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inverse__le__imp__le__neg_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | c_lessequals(V_b,V_a,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_le__imp__inverse__le__neg_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__mult__inverse__cancel_0,axiom, % 1.80/1.79 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_x1,tc_RealDef_Oreal),V_u,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x1,V_y,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_u,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1,tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__mult__inverse__cancel2_0,axiom, % 1.80/1.79 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_y,c_HOL_Oinverse__class_Oinverse(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_u,c_HOL_Oinverse__class_Oinverse(V_x1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x1,V_y,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_u,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1,tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mod__minus__cong_0,axiom, % 1.80/1.79 ( ~ class_Divides_Oring__div(T_a) % 1.80/1.79 | c_Divides_Odiv__class_Omod(V_a,V_b,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_b,T_a) % 1.80/1.79 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a_H,T_a),V_b,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_mult_Oprod__diff__prod_0,axiom, % 1.80/1.79 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__vector_Oscale__scale_0,axiom, % 1.80/1.79 ( ~ class_RealVector_Oreal__vector(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inf__absorb2_0,axiom, % 1.80/1.79 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.80/1.79 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y % 1.80/1.79 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_le__iff__inf_1,axiom, % 1.80/1.79 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.80/1.79 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x % 1.80/1.79 | c_lessequals(V_x,V_y,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_le__iff__inf_0,axiom, % 1.80/1.79 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.80/1.79 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x % 1.80/1.79 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__sqrt__gt__1__iff_0,axiom, % 1.80/1.79 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__sqrt__gt__1__iff_1,axiom, % 1.80/1.79 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_one__le__inverse__iff_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_max__less__iff__conj_1,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_max__less__iff__conj_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_less__max__iff__disj_2,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_less__max__iff__disj_1,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__max_Oless__supI2_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__max_Oless__supI1_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inf__commute_0,axiom, % 1.80/1.79 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.80/1.79 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inf__sup__aci_I1_J_0,axiom, % 1.80/1.79 ( ~ class_Lattices_Olattice(T_a) % 1.80/1.79 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__max_Oinf__commute_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = c_Orderings_Oord__class_Omin(V_y,V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_combine__common__factor_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Osemiring(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_eq__neg__iff__add__eq__0_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_ab__left__minus_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_right__minus_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_left__minus_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.80/1.79 | 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__add__eq__0__iff_1,axiom, % 1.80/1.79 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) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__of__nat__ge__zero_0,axiom, % 1.80/1.79 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(V_n,tc_nat),tc_RealDef_Oreal) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_add__neg__neg_0,axiom, % 1.80/1.79 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.80/1.79 | 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) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_sum__squares__le__zero__iff_1,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.80/1.79 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 1.80/1.79 | ~ 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_sum__squares__le__zero__iff_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.80/1.79 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 1.80/1.79 | ~ 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) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__less__iff__disj_2,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__less__iff__disj_1,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__less__iff__conj_1,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__less__iff__conj_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__max_Oless__infI2_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_min__max_Oless__infI1_0,axiom, % 1.80/1.79 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__sqrt__mult_0,axiom, % 1.80/1.79 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) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inverse__nonpositive__iff__nonpositive_1,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inverse__nonpositive__iff__nonpositive_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__sqrt__le__0__iff_0,axiom, % 1.80/1.79 ( c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_real__sqrt__le__0__iff_1,axiom, % 1.80/1.79 ( c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inverse__eq__1__iff_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_HOL_Oinverse__class_Oinverse(V_x,T_a) != c_HOL_Oone__class_Oone(T_a) % 1.80/1.79 | V_x = c_HOL_Oone__class_Oone(T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_inverse__less__1__iff_0,axiom, % 1.80/1.79 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.79 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.79 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a) % 1.80/1.79 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_powr__less__mono2_0,axiom, % 1.80/1.79 ( c_HOL_Oord__class_Oless(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_y,V_a),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_a,tc_RealDef_Oreal) ) ). % 1.80/1.79 % 1.80/1.79 cnf(cls_powr__less__mono2__neg_0,axiom, % 1.80/1.79 ( c_HOL_Oord__class_Oless(c_Log_Opowr(V_y,V_a),c_Log_Opowr(V_x,V_a),tc_RealDef_Oreal) % 1.80/1.79 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_abs__diff__less__iff_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) % 1.80/1.80 | ~ 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_abs__inverse_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_abs__divide_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_abs__of__pos_0,axiom, % 1.80/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.80/1.80 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_positive__imp__inverse__positive_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_inverse__positive__iff__positive_1,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_inverse__positive__iff__positive_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mod__mult__right__eq_0,axiom, % 1.80/1.80 ( ~ class_Divides_Osemiring__div(T_a) % 1.80/1.80 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mod__mult__left__eq_0,axiom, % 1.80/1.80 ( ~ class_Divides_Osemiring__div(T_a) % 1.80/1.80 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_sum__squares__gt__zero__iff_2,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_sum__squares__gt__zero__iff_1,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_real__sum__square__gt__zero2_0,axiom, % 1.80/1.80 ( 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) % 1.80/1.80 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_real__sum__square__gt__zero_0,axiom, % 1.80/1.80 ( 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) % 1.80/1.80 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_real__vector_Oscale__left__distrib_0,axiom, % 1.80/1.80 ( ~ class_RealVector_Oreal__vector(T_a) % 1.80/1.80 | 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_scaleR__right_Oadd_0,axiom, % 1.80/1.80 ( ~ class_RealVector_Oreal__vector(T_a) % 1.80/1.80 | 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_scaleR_Oadd__right_0,axiom, % 1.80/1.80 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.80/1.80 | 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_scaleR__left_Oadd_0,axiom, % 1.80/1.80 ( ~ class_RealVector_Oreal__vector(T_a) % 1.80/1.80 | 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_scaleR_Oadd__left_0,axiom, % 1.80/1.80 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.80/1.80 | 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_inf__eq__neg__sup_0,axiom, % 1.80/1.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.80/1.80 | c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_sup__commute_0,axiom, % 1.80/1.80 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.80/1.80 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_inf__sup__aci_I5_J_0,axiom, % 1.80/1.80 ( ~ class_Lattices_Olattice(T_a) % 1.80/1.80 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_neg__inf__eq__sup_0,axiom, % 1.80/1.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.80/1.80 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_compl__inf_0,axiom, % 1.80/1.80 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.80/1.80 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_divide__less__0__iff_3,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.80 | ~ 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_divide__less__0__iff_2,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.80 | ~ 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_divide__less__0__iff_1,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.80/1.80 | ~ 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_divide__less__0__iff_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.80/1.80 | ~ 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_real__minus__mult__self__le_0,axiom, % 1.80/1.80 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) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_le__real__sqrt__sumsq_0,axiom, % 1.80/1.80 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) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_add__cancel__end_0,axiom, % 1.80/1.80 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.80/1.80 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y % 1.80/1.80 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mult__divide__mult__cancel__right_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mult__divide__mult__cancel__left_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_sup__left__idem_0,axiom, % 1.80/1.80 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.80/1.80 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_inf__sup__aci_I8_J_0,axiom, % 1.80/1.80 ( ~ class_Lattices_Olattice(T_a) % 1.80/1.80 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_real__sqrt__less__iff_0,axiom, % 1.80/1.80 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_real__sqrt__less__iff_1,axiom, % 1.80/1.80 ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mult__frac__num_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_real__mult__is__one_1,axiom, % 1.80/1.80 c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_dist__le__zero__iff_0,axiom, % 1.80/1.80 ( ~ class_RealVector_Ometric__space(T_a) % 1.80/1.80 | V_x = V_y % 1.80/1.80 | ~ c_lessequals(c_RealVector_Odist__class_Odist(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_abs__of__nonpos_0,axiom, % 1.80/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.80/1.80 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 1.80/1.80 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mult__strict__left__mono__comm_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mult__less__cancel__right__disj_5,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mult__less__cancel__right__disj_4,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mult__strict__right__mono_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mult__strict__right__mono__neg_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mult__less__cancel__left__disj_5,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mult__less__cancel__left__disj_4,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mult__strict__left__mono_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mult__strict__left__mono__neg_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mult__less__cancel__left__pos_1,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mult__less__cancel__left__pos_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.80/1.80 | ~ 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) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mult__less__cancel__left__neg_1,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mult__less__cancel__left__neg_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.80/1.80 | ~ 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) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_real__mult__less__mono2_0,axiom, % 1.80/1.80 ( 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) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_real__mult__less__iff1_1,axiom, % 1.80/1.80 ( 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) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_real__mult__less__iff1_0,axiom, % 1.80/1.80 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 1.80/1.80 | ~ 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) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_min__max_Osup__left__commute_0,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(V_y,c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_min__max_Osup__assoc_0,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_norm__mult_0,axiom, % 1.80/1.80 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a) % 1.80/1.80 | 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_nprt__le__zero_0,axiom, % 1.80/1.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.80/1.80 | c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mod__mult__eq_0,axiom, % 1.80/1.80 ( ~ class_Divides_Osemiring__div(T_a) % 1.80/1.80 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_le__max__iff__disj_0,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_lessequals(V_z,V_y,T_a) % 1.80/1.80 | c_lessequals(V_z,V_x,T_a) % 1.80/1.80 | ~ c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_powr__zero__eq__one_0,axiom, % 1.80/1.80 c_Log_Opowr(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_min__max_Ole__infE_0,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_lessequals(V_x,V_a,T_a) % 1.80/1.80 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_min__max_Ole__infE_1,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_lessequals(V_x,V_b,T_a) % 1.80/1.80 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_min__max_Ole__infI1_0,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 1.80/1.80 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_min__max_Ole__infI2_0,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 1.80/1.80 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_min__le__iff__disj_1,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 1.80/1.80 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_min__le__iff__disj_2,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 1.80/1.80 | ~ c_lessequals(V_y,V_z,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_min__max_Ole__inf__iff_0,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_lessequals(V_x,V_y,T_a) % 1.80/1.80 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_min__max_Ole__inf__iff_1,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_lessequals(V_x,V_z,T_a) % 1.80/1.80 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_divide__less__eq_1,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_divide__less__eq_4,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_divide__less__eq_5,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_divide__less__eq_7,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_less__divide__eq_1,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_less__divide__eq_4,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_less__divide__eq_5,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_less__divide__eq_7,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_inverse__le__1__iff_2,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 1.80/1.80 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.80/1.80 | 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_abs__ge__minus__self_0,axiom, % 1.80/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.80/1.80 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_abs__ge__self_0,axiom, % 1.80/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.80/1.80 | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_less__add__iff1_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | ~ 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_less__add__iff1_1,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | ~ 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_less__add__iff2_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | ~ 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_less__add__iff2_1,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | ~ 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_min__le__iff__disj_0,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_lessequals(V_y,V_z,T_a) % 1.80/1.80 | c_lessequals(V_x,V_z,T_a) % 1.80/1.80 | ~ c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_eq__divide__eq_4,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mod__add__cong_0,axiom, % 1.80/1.80 ( ~ class_Divides_Osemiring__div(T_a) % 1.80/1.80 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a) % 1.80/1.80 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a) % 1.80/1.80 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a_H,V_b_H,T_a),V_c,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_min__max_Ole__supE_0,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_lessequals(V_a,V_x,T_a) % 1.80/1.80 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_min__max_Ole__supE_1,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_lessequals(V_b,V_x,T_a) % 1.80/1.80 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_min__max_Ole__supI1_0,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 1.80/1.80 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_min__max_Ole__supI2_0,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 1.80/1.80 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_le__max__iff__disj_1,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 1.80/1.80 | ~ c_lessequals(V_z,V_x,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_le__max__iff__disj_2,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 1.80/1.80 | ~ c_lessequals(V_z,V_y,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_min__max_Ole__sup__iff_0,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_lessequals(V_x,V_z,T_a) % 1.80/1.80 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_min__max_Ole__sup__iff_1,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_lessequals(V_y,V_z,T_a) % 1.80/1.80 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_less__max__iff__disj_0,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_real__add__eq__0__iff_0,axiom, % 1.80/1.80 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.80/1.80 | V_y = c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_minus__unique_0,axiom, % 1.80/1.80 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.80/1.80 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.80/1.80 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_eq__neg__iff__add__eq__0_1,axiom, % 1.80/1.80 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.80/1.80 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.80/1.80 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_not__one__less__zero_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_abs__less__iff_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_min__less__iff__disj_0,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 1.80/1.80 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_class__ringb_Onoteq__reduce_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.80/1.80 | ~ class_Int_Onumber__ring(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | V_c = V_d % 1.80/1.80 | V_a = V_b ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.80/1.80 | ~ class_Int_Onumber__ring(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | V_y = V_z % 1.80/1.80 | V_w = V_x ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_abs__mult__self_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.80/1.80 | 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_nonzero__inverse__minus__eq_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_powr__add_0,axiom, % 1.80/1.80 c_Log_Opowr(V_x,c_HOL_Oplus__class_Oplus(V_a,V_b,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mod__mult__cong_0,axiom, % 1.80/1.80 ( ~ class_Divides_Osemiring__div(T_a) % 1.80/1.80 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a) % 1.80/1.80 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a) % 1.80/1.80 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a_H,V_b_H,T_a),V_c,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_real__sqrt__ge__1__iff_1,axiom, % 1.80/1.80 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) % 1.80/1.80 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_real__sqrt__ge__1__iff_0,axiom, % 1.80/1.80 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.80/1.80 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_real__sqrt__ge__one_0,axiom, % 1.80/1.80 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal) % 1.80/1.80 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_add__frac__eq_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 1.80/1.80 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_divide__eq__eq_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) % 1.80/1.80 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_eq__divide__eq_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b % 1.80/1.80 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_zero__le__one_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.80/1.80 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_powr__powr_0,axiom, % 1.80/1.80 c_Log_Opowr(c_Log_Opowr(V_x,V_a),V_b) = c_Log_Opowr(V_x,c_HOL_Otimes__class_Otimes(V_a,V_b,tc_RealDef_Oreal)) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.80/1.80 | 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.80/1.80 | 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) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_Bseq__inverse__lemma_0,axiom, % 1.80/1.80 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a) % 1.80/1.80 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_r,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_r,tc_RealDef_Oreal) % 1.80/1.80 | ~ c_lessequals(V_r,c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_real__sqrt__lt__1__iff_1,axiom, % 1.80/1.80 ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_real__sqrt__lt__1__iff_0,axiom, % 1.80/1.80 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_mod__by__1_0,axiom, % 1.80/1.80 ( ~ class_Divides_Osemiring__div(T_a) % 1.80/1.80 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_abs__mult__pos_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.80/1.80 | 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) % 1.80/1.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_one__le__inverse__iff_1,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.80/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.80/1.80 | c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 1.80/1.80 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_abs__dvd__iff_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.80/1.80 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) % 1.80/1.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_abs__dvd__iff_1,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.80/1.80 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a) % 1.80/1.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_dvd__abs__iff_0,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.80/1.80 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) % 1.80/1.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_dvd__abs__iff_1,axiom, % 1.80/1.80 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.80/1.80 | c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a) % 1.80/1.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_linorder__neq__iff_1,axiom, % 1.80/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_order__less__le_1,axiom, % 1.80/1.80 ( ~ class_Orderings_Oorder(T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_real__less__def_1,axiom, % 1.80/1.80 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_order__less__irrefl_0,axiom, % 1.80/1.80 ( ~ class_Orderings_Opreorder(T_a) % 1.80/1.80 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 1.80/1.80 % 1.80/1.80 cnf(cls_less__le__not__le_2,axiom, % 1.80/1.80 ( ~ class_Orderings_Opreorder(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.85/1.80 | c_lessequals(V_y,V_x,T_a) % 1.85/1.80 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_sup__inf__absorb_0,axiom, % 1.85/1.80 ( ~ class_Lattices_Olattice(T_a) % 1.85/1.80 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_add__pos__pos_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_norm__triangle__ineq_0,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.85/1.80 | 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_not__one__le__zero_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.85/1.80 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_inverse__negative__iff__negative_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_inverse__negative__iff__negative_1,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_negative__imp__inverse__negative_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_add__strict__mono_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_order__le__less_1,axiom, % 1.85/1.80 ( ~ class_Orderings_Oorder(T_a) % 1.85/1.80 | c_lessequals(V_x,V_y,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_real__less__def_0,axiom, % 1.85/1.80 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_order__less__imp__le_0,axiom, % 1.85/1.80 ( ~ class_Orderings_Opreorder(T_a) % 1.85/1.80 | c_lessequals(V_x,V_y,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_le__iff__sup_0,axiom, % 1.85/1.80 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.85/1.80 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y % 1.85/1.80 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_le__iff__sup_1,axiom, % 1.85/1.80 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.85/1.80 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y % 1.85/1.80 | c_lessequals(V_x,V_y,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_sup__absorb1_0,axiom, % 1.85/1.80 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.85/1.80 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x % 1.85/1.80 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_add__cancel__end_1,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.85/1.80 | 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 ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_minus__add__cancel_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.85/1.80 | 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 ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_real__inverse__gt__one_0,axiom, % 1.85/1.80 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_inverse__eq__1__iff_1,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_one__less__inverse__iff_2,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_inverse__1_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.85/1.80 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_of__real__add_0,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__algebra__1(T_a) % 1.85/1.80 | c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),T_a) = c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(V_x,T_a),c_RealVector_Oof__real(V_y,T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_of__real_Oadd_0,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.85/1.80 | ~ class_RealVector_Oreal__algebra__1(T_a) % 1.85/1.80 | c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),T_a) = c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(V_x,T_a),c_RealVector_Oof__real(V_y,T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_diff__minus__eq__add_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.85/1.80 | 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mod__mult__self2_0,axiom, % 1.85/1.80 ( ~ class_Divides_Osemiring__div(T_a) % 1.85/1.80 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mod__mult__self1_0,axiom, % 1.85/1.80 ( ~ class_Divides_Osemiring__div(T_a) % 1.85/1.80 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_real__0__le__add__iff_0,axiom, % 1.85/1.80 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.85/1.80 | ~ 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_real__0__le__add__iff_1,axiom, % 1.85/1.80 ( 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) % 1.85/1.80 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_dvd__mult__cancel__right_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.85/1.80 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) % 1.85/1.80 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_dvd__mult__cancel__left_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.85/1.80 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) % 1.85/1.80 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_tan__periodic__nat_0,axiom, % 1.85/1.80 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) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_le__divide__eq_9,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.85/1.80 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.85/1.80 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_le__divide__eq_3,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.85/1.80 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_le__divide__eq_2,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.85/1.80 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_divide__le__eq_9,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.85/1.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.85/1.80 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.85/1.80 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_divide__le__eq_3,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.85/1.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_divide__le__eq_2,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.85/1.80 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_id__apply_0,axiom, % 1.85/1.80 c_Fun_Oid(V_x,T_a) = V_x ). % 1.85/1.80 % 1.85/1.80 cnf(cls_add__divide__distrib_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.85/1.80 | 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_divide_Oadd_0,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__normed__field(T_a) % 1.85/1.80 | 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_abs__diff__less__iff_2,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_less__1__mult_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_minus__equation__iff_1,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.85/1.80 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_equation__minus__iff_1,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.85/1.80 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_equation__minus__iff_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.85/1.80 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_double__compl_0,axiom, % 1.85/1.80 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.85/1.80 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_minus__minus_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.85/1.80 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_add__less__le__mono_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | ~ c_lessequals(V_c,V_d,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_add__le__less__mono_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 1.85/1.80 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_minus__less__iff_1,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_minus__less__iff_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_less__minus__iff_1,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_less__minus__iff_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_minus__le__iff_1,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.85/1.80 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 1.85/1.80 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_minus__le__iff_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.85/1.80 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 1.85/1.80 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_le__minus__iff_1,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.85/1.80 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 1.85/1.80 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_le__minus__iff_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.85/1.80 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 1.85/1.80 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_eq__divide__eq_2,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_scaleR__cancel__right_0,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__vector(T_a) % 1.85/1.80 | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a) % 1.85/1.80 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | V_a = V_b ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_scaleR__cancel__right_1,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__vector(T_a) % 1.85/1.80 | 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_abs__eq__0_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.85/1.80 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_neg__equal__zero_1,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 1.85/1.80 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_minus__zero_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.85/1.80 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_inverse__zero__imp__zero_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.85/1.80 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_inverse__nonzero__iff__nonzero_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_neg__0__equal__iff__equal_1,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.85/1.80 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mult__eq__0__iff_2,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 1.85/1.80 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mult__eq__0__iff_1,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 1.85/1.80 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mult__zero__right_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 1.85/1.80 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mult__zero__left_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 1.85/1.80 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_class__semiring_Omul__0_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.85/1.80 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mult__right_Ozero_0,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.85/1.80 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mult_Ozero__right_0,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.85/1.80 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mult_Ozero__left_0,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.85/1.80 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mult__left_Ozero_0,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.85/1.80 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.85/1.80 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.85/1.80 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_dvd__0__right_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.85/1.80 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mod__self_0,axiom, % 1.85/1.80 ( ~ class_Divides_Osemiring__div(T_a) % 1.85/1.80 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mod__by__0_0,axiom, % 1.85/1.80 ( ~ class_Divides_Osemiring__div(T_a) % 1.85/1.80 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_zero__neq__one_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 1.85/1.80 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_nonzero__inverse__inverse__eq_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.85/1.80 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a % 1.85/1.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_dvd__0__left_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.85/1.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_divide__self__if_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_neg__equal__zero_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 1.85/1.80 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a % 1.85/1.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_inverse__zero_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_inverse__nonzero__iff__nonzero_1,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_nonzero__inverse__eq__imp__eq_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.85/1.80 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a) % 1.85/1.80 | V_a = V_b % 1.85/1.80 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_nprt__0_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.85/1.80 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_neg__equal__0__iff__equal_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.85/1.80 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_one__neq__zero_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 1.85/1.80 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mult__eq__0__iff_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 1.85/1.80 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_no__zero__divisors_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 1.85/1.80 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_no__zero__divirors__neq0_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 1.85/1.80 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_double__eq__0__iff_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.85/1.80 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.85/1.80 | ~ class_Int_Onumber__ring(T_a) % 1.85/1.80 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a) % 1.85/1.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_pprt__0_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.85/1.80 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mod__0_0,axiom, % 1.85/1.80 ( ~ class_Divides_Osemiring__div(T_a) % 1.85/1.80 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_double__eq__0__iff_1,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.85/1.80 | 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_abs__eq__0_1,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.85/1.80 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_neg__0__equal__iff__equal_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.85/1.80 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 1.85/1.80 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_scaleR_Ozero__right_0,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.85/1.80 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_scaleR__eq__0__iff_2,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__vector(T_a) % 1.85/1.80 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_divide__zero__left_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.85/1.80 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_divide__eq__eq_1,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_divide__zero_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_divide_Ozero_0,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__normed__field(T_a) % 1.85/1.80 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 1.85/1.80 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_add__0__left_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 1.85/1.80 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.85/1.80 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.85/1.80 | ~ class_Int_Onumber__ring(T_a) % 1.85/1.80 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_class__semiring_Oadd__0_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.85/1.80 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.85/1.80 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.85/1.80 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.85/1.80 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_zero__less__norm__iff_1,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_zero__less__norm__iff_0,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.85/1.80 | ~ 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_norm__le__zero__iff_1,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.85/1.80 | 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_norm__le__zero__iff_0,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.85/1.80 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_division__ring__inverse__diff_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_diff__frac__eq_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_scaleR__cancel__left_0,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__vector(T_a) % 1.85/1.80 | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a) % 1.85/1.80 | V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.85/1.80 | V_x = V_y ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_scaleR__cancel__left_1,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__vector(T_a) % 1.85/1.80 | 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_zero__le__divide__iff_4,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 1.85/1.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.85/1.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_zero__le__divide__iff_5,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 1.85/1.80 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_nonzero__of__real__inverse_0,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__div__algebra(T_a) % 1.85/1.80 | c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(V_x,tc_RealDef_Oreal),T_a) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(V_x,T_a),T_a) % 1.85/1.80 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_tan__periodic__pi_0,axiom, % 1.85/1.80 c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Otan(V_x) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_frac__le_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | ~ c_lessequals(V_w,V_z,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 1.85/1.80 | ~ c_lessequals(V_x,V_y,T_a) % 1.85/1.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_cos__minus_0,axiom, % 1.85/1.80 c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_Transcendental_Ocos(V_x) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_eq__equals_0,axiom, % 1.85/1.80 ( ~ class_HOL_Oeq(T_a) % 1.85/1.80 | V_x = V_y % 1.85/1.80 | ~ c_HOL_Oeq__class_Oeq(V_x,V_y,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_abs__not__less__zero_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_zero__less__one_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_divide__strict__left__mono_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | ~ 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) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_divide__strict__left__mono__neg_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | ~ 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) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_powr__ge__pzero_0,axiom, % 1.85/1.80 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(V_x,V_y),tc_RealDef_Oreal) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_norm__diff__triangle__ineq_0,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.85/1.80 | 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mult__le__less__imp__less_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 1.85/1.80 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mult__less__le__imp__less_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.85/1.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.85/1.80 | ~ c_lessequals(V_c,V_d,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_minus__mult__commute_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oring(T_a) % 1.85/1.80 | 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_abs__triangle__ineq4_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.85/1.80 | 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_real__sqrt__one_0,axiom, % 1.85/1.80 c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_divide__inverse_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.85/1.80 | 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_class__fieldgb_Odivide__inverse_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.85/1.80 | ~ class_Int_Onumber__ring(T_a) % 1.85/1.80 | 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_inf__sup__aci_I4_J_0,axiom, % 1.85/1.80 ( ~ class_Lattices_Olattice(T_a) % 1.85/1.80 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_inf__left__idem_0,axiom, % 1.85/1.80 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.85/1.80 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_zero__le__iff__nprt__id_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.85/1.80 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a) = V_a % 1.85/1.80 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_zero__le__iff__nprt__id_1,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.85/1.80 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a) != V_a % 1.85/1.80 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mod__mod__cancel_0,axiom, % 1.85/1.80 ( ~ class_Divides_Osemiring__div(T_a) % 1.85/1.80 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(V_a,V_c,T_a) % 1.85/1.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_b,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_zero__less__divide__1__iff_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.85/1.80 | ~ 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_zero__less__divide__1__iff_1,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.85/1.80 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.85/1.80 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_abs__if__lattice_1,axiom, % 1.85/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.85/1.80 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 1.85/1.80 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 1.85/1.80 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_abs__if_1,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oabs__if(T_a) % 1.85/1.80 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 1.85/1.80 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mult__dvd__mono_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.85/1.80 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 1.85/1.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a) % 1.85/1.80 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_abs__add__abs_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.85/1.80 | 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_divide__le__eq_1,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.85/1.80 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_divide__le__eq_4,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_le__divide__eq_1,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.85/1.80 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_le__divide__eq_4,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_cos__diff2_0,axiom, % 1.85/1.80 c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_y),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_y),c_Transcendental_Osin(V_x),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_cos__diff_0,axiom, % 1.85/1.80 c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Osin(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_inf__idem_0,axiom, % 1.85/1.80 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.85/1.80 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_zero__less__abs__iff_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.85/1.80 | ~ 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_divide__neg__pos_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_divide__pos__neg_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_divide__less__0__iff_4,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_divide__less__0__iff_5,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_add__less__cancel__left_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.85/1.80 | ~ 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_add__less__cancel__left_1,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_add__strict__left__mono_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_add__less__cancel__right_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.85/1.80 | ~ 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_add__less__cancel__right_1,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_add__strict__right__mono_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.85/1.80 | 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) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_order__eq__refl_0,axiom, % 1.85/1.80 ( ~ class_Orderings_Opreorder(T_a) % 1.85/1.80 | c_lessequals(V_x,V_x,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_order__eq__iff_0,axiom, % 1.85/1.80 ( ~ class_Orderings_Oorder(T_a) % 1.85/1.80 | c_lessequals(V_x,V_x,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_real__le__trans_0,axiom, % 1.85/1.80 ( c_lessequals(V_i,V_k,tc_RealDef_Oreal) % 1.85/1.80 | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal) % 1.85/1.80 | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_real__le__refl_0,axiom, % 1.85/1.80 c_lessequals(V_w,V_w,tc_RealDef_Oreal) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_order__le__less__trans_0,axiom, % 1.85/1.80 ( ~ class_Orderings_Opreorder(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 1.85/1.80 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_order__less__le__trans_0,axiom, % 1.85/1.80 ( ~ class_Orderings_Opreorder(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 1.85/1.80 | ~ c_lessequals(V_y,V_z,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_le__add__right__mono_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.85/1.80 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 1.85/1.80 | ~ c_lessequals(V_c,V_d,T_a) % 1.85/1.80 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_order__trans_0,axiom, % 1.85/1.80 ( ~ class_Orderings_Opreorder(T_a) % 1.85/1.80 | c_lessequals(V_x,V_z,T_a) % 1.85/1.80 | ~ c_lessequals(V_y,V_z,T_a) % 1.85/1.80 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_add__nonpos__nonpos_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.85/1.80 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_xt1_I8_J_0,axiom, % 1.85/1.80 ( ~ class_Orderings_Oorder(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 1.85/1.80 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_xt1_I7_J_0,axiom, % 1.85/1.80 ( ~ class_Orderings_Oorder(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 1.85/1.80 | ~ c_lessequals(V_z,V_y,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_xt1_I6_J_0,axiom, % 1.85/1.80 ( ~ class_Orderings_Oorder(T_a) % 1.85/1.80 | c_lessequals(V_z,V_x,T_a) % 1.85/1.80 | ~ c_lessequals(V_z,V_y,T_a) % 1.85/1.80 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_inverse__less__1__iff_2,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mod__mult__self1__is__0_0,axiom, % 1.85/1.80 ( ~ class_Divides_Osemiring__div(T_a) % 1.85/1.80 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mod__mult__self2__is__0_0,axiom, % 1.85/1.80 ( ~ class_Divides_Osemiring__div(T_a) % 1.85/1.80 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_powr__one__eq__one_0,axiom, % 1.85/1.80 c_Log_Opowr(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_a) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_norm__ratiotest__lemma_0,axiom, % 1.85/1.80 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.85/1.80 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | ~ 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) % 1.85/1.80 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_real__two__squares__add__zero__iff_2,axiom, % 1.85/1.80 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) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_sum__squares__eq__zero__iff_2,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.85/1.80 | 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mult__less__cancel__left__disj_1,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.85/1.80 | ~ 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mult__less__cancel__left__disj_2,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.85/1.80 | ~ 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mult__less__cancel__right__disj_1,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.85/1.80 | ~ 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mult__less__cancel__right__disj_2,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.85/1.80 | ~ 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_abs__diff__less__iff_1,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a) % 1.85/1.80 | ~ 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_real__mult__is__one_2,axiom, % 1.85/1.80 c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_not__real__square__gt__zero_0,axiom, % 1.85/1.80 ( V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.85/1.80 | 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_min__max_Odistrib__sup__le_0,axiom, % 1.85/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.85/1.80 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_sup__eq__neg__inf_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.85/1.80 | c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_neg__0__less__iff__less_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_neg__0__less__iff__less_1,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_frac__eq__eq_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.85/1.80 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) != c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) % 1.85/1.80 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) = c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_frac__eq__eq_1,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.85/1.80 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) != c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) % 1.85/1.80 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.80 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_dist__norm_0,axiom, % 1.85/1.80 ( ~ class_RealVector_Odist__norm(T_a) % 1.85/1.80 | c_RealVector_Odist__class_Odist(V_x,V_y,T_a) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mod__mult__mult1_0,axiom, % 1.85/1.80 ( ~ class_Divides_Osemiring__div(T_a) % 1.85/1.80 | c_Divides_Odiv__class_Omod(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_Otimes__class_Otimes(V_c,c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_mod__mult__mult2_0,axiom, % 1.85/1.80 ( ~ class_Divides_Osemiring__div(T_a) % 1.85/1.80 | c_Divides_Odiv__class_Omod(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_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_less__minus__self__iff_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_less__minus__self__iff_1,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.85/1.80 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_abs__ge__zero_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.85/1.80 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_divide__eq__eq_4,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.85/1.80 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.85/1.80 | 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_real__sqrt__inverse_0,axiom, % 1.85/1.80 c_NthRoot_Osqrt(c_HOL_Oinverse__class_Oinverse(V_x,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Oinverse(c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_dvd__if__abs__eq_0,axiom, % 1.85/1.80 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.85/1.80 | c_HOL_Oabs__class_Oabs(V_l,T_a) != c_HOL_Oabs__class_Oabs(V_k,T_a) % 1.85/1.80 | c_Ring__and__Field_Odvd__class_Odvd(V_l,V_k,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_minus__add_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.85/1.80 | 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_minus__add__distrib_0,axiom, % 1.85/1.80 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.85/1.80 | 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) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_order__less__asym_H_0,axiom, % 1.85/1.80 ( ~ class_Orderings_Opreorder(T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_order__less__asym_0,axiom, % 1.85/1.80 ( ~ class_Orderings_Opreorder(T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_linorder__linear_0,axiom, % 1.85/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.85/1.80 | c_lessequals(V_y,V_x,T_a) % 1.85/1.80 | c_lessequals(V_x,V_y,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_real__le__linear_0,axiom, % 1.85/1.80 ( c_lessequals(V_w,V_z,tc_RealDef_Oreal) % 1.85/1.80 | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 1.85/1.80 ( ~ class_Orderings_Olinorder(T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_xt1_I9_J_0,axiom, % 1.85/1.80 ( ~ class_Orderings_Oorder(T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.85/1.80 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_powr__not__zero_0,axiom, % 1.85/1.80 c_Log_Opowr(V_x,V_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_real__mult__right__cancel_0,axiom, % 1.85/1.80 ( c_HOL_Otimes__class_Otimes(V_a,V_c,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_b,V_c,tc_RealDef_Oreal) % 1.85/1.80 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.85/1.80 | V_a = V_b ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_real__mult__left__cancel_0,axiom, % 1.85/1.80 ( c_HOL_Otimes__class_Otimes(V_c,V_a,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_c,V_b,tc_RealDef_Oreal) % 1.85/1.80 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.85/1.80 | V_a = V_b ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_tan__zero_0,axiom, % 1.85/1.80 c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_real__sqrt__eq__0__iff_0,axiom, % 1.85/1.80 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.85/1.80 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_real__zero__not__eq__one_0,axiom, % 1.85/1.80 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_real__sqrt__zero_0,axiom, % 1.85/1.80 c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_INVERSE__ZERO_0,axiom, % 1.85/1.80 c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_arctan__zero__zero_0,axiom, % 1.85/1.80 c_Transcendental_Oarctan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_real__root__zero_0,axiom, % 1.85/1.80 c_NthRoot_Oroot(V_n,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.85/1.80 % 1.85/1.80 cnf(cls_dist__self_0,axiom, % 1.85/1.80 ( ~ class_RealVector_Ometric__space(T_a) % 1.85/1.80 | c_RealVector_Odist__class_Odist(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_dist__eq__0__iff_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Ometric__space(T_a) % 1.85/1.81 | c_RealVector_Odist__class_Odist(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.85/1.81 | V_x = V_y ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_Lim_Ominus__diff__minus_0,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.85/1.81 | 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) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_mod__diff__cong_0,axiom, % 1.85/1.81 ( ~ class_Divides_Oring__div(T_a) % 1.85/1.81 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a) % 1.85/1.81 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a) % 1.85/1.81 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a_H,V_b_H,T_a),V_c,T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_min__diff__distrib__left_0,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.85/1.81 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_mod__diff__right__eq_0,axiom, % 1.85/1.81 ( ~ class_Divides_Oring__div(T_a) % 1.85/1.81 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_mod__diff__left__eq_0,axiom, % 1.85/1.81 ( ~ class_Divides_Oring__div(T_a) % 1.85/1.81 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_max__diff__distrib__left_0,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.85/1.81 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_mod__diff__eq_0,axiom, % 1.85/1.81 ( ~ class_Divides_Oring__div(T_a) % 1.85/1.81 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_abs__minus__commute_0,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.85/1.81 | 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) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_le__eqI_0,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.85/1.81 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 1.85/1.81 | c_lessequals(V_y_H,V_x_H,T_a) % 1.85/1.81 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_le__eqI_1,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.85/1.81 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 1.85/1.81 | c_lessequals(V_y,V_x,T_a) % 1.85/1.81 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_less__eqI_0,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.85/1.81 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 1.85/1.81 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) % 1.85/1.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_less__eqI_1,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.85/1.81 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 1.85/1.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.85/1.81 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_scaleR__right_Odiff_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__vector(T_a) % 1.85/1.81 | 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) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_scaleR_Odiff__right_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.85/1.81 | 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) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_diff__divide__distrib_0,axiom, % 1.85/1.81 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.85/1.81 | 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) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_divide_Odiff_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__normed__field(T_a) % 1.85/1.81 | 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) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_dvd__diff_0,axiom, % 1.85/1.81 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 1.85/1.81 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) % 1.85/1.81 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,T_a) % 1.85/1.81 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_diff__add__cancel_0,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.85/1.81 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_mult__right_Odiff_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.85/1.81 | 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) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_mult_Odiff__right_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.85/1.81 | 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) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_mult_Odiff__left_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.85/1.81 | 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) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_mult__left_Odiff_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.85/1.81 | 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) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_Deriv_Oadd__diff__add_0,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.85/1.81 | 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) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_norm__minus__commute_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.85/1.81 | 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) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_add__diff__cancel_0,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.85/1.81 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_minus__diff__eq_0,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.85/1.81 | 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) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_pprt__def__raw_0,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a) % 1.85/1.81 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a) = c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_nprt__def__raw_0,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a) % 1.85/1.81 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(v_x,t_a) = c_Lattices_Olower__semilattice__class_Oinf(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_cos__monotone__0__pi_H_0,axiom, % 1.85/1.81 ( c_lessequals(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal) % 1.85/1.81 | ~ c_lessequals(V_x,c_Transcendental_Opi,tc_RealDef_Oreal) % 1.85/1.81 | ~ c_lessequals(V_y,V_x,tc_RealDef_Oreal) % 1.85/1.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_norm__triangle__ineq2_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.85/1.81 | 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) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_scaleR_Oprod__diff__prod_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.85/1.81 | 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) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_cos__one__sin__zero_0,axiom, % 1.85/1.81 ( c_Transcendental_Ocos(V_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) % 1.85/1.81 | c_Transcendental_Osin(V_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_sin__periodic__pi2_0,axiom, % 1.85/1.81 c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_sin__periodic__pi_0,axiom, % 1.85/1.81 c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_calculation_I2_J_0,axiom, % 1.85/1.81 ( c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) % 1.85/1.81 | v_x != c_Transcendental_Opi ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_eq__diff__eq_H_0,axiom, % 1.85/1.81 V_y = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_y,V_z,tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_eq__diff__eq_H_1,axiom, % 1.85/1.81 V_x = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_x,V_z,tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_sin__diff_0,axiom, % 1.85/1.81 c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Osin(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_sin__diff2_0,axiom, % 1.85/1.81 c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_y),c_Transcendental_Osin(V_x),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_y),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_sin__minus_0,axiom, % 1.85/1.81 c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_id__def_0,axiom, % 1.85/1.81 c_Fun_Oid(v_x,t_a) = v_x ). % 1.85/1.81 % 1.85/1.81 cnf(cls_sin__npi2_0,axiom, % 1.85/1.81 c_Transcendental_Osin(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_RealDef_Oreal(V_n,tc_nat),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_sin__npi_0,axiom, % 1.85/1.81 c_Transcendental_Osin(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) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_norm__zero_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.85/1.81 | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_scaleR__eq__0__iff_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__vector(T_a) % 1.85/1.81 | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.81 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.81 | V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_of__real__eq__0__iff_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__algebra__1(T_a) % 1.85/1.81 | c_RealVector_Oof__real(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.81 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_of__real__0_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__algebra__1(T_a) % 1.85/1.81 | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_of__real_Ozero_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.85/1.81 | ~ class_RealVector_Oreal__algebra__1(T_a) % 1.85/1.81 | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_norm__eq__zero_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.85/1.81 | c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.85/1.81 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_scaleR_Ozero__left_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.85/1.81 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_scaleR__eq__0__iff_1,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__vector(T_a) % 1.85/1.81 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_less__iff__diff__less__0_1,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.85/1.81 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.85/1.81 | ~ 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) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_less__iff__diff__less__0_0,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.85/1.81 | 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) % 1.85/1.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_le__iff__diff__le__0_1,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.85/1.81 | c_lessequals(V_a,V_b,T_a) % 1.85/1.81 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_le__iff__diff__le__0_0,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.85/1.81 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.85/1.81 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_group__add__class_Odiff__0_0,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.85/1.81 | 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) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_pi__gt__zero_0,axiom, % 1.85/1.81 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_pi__ge__zero_0,axiom, % 1.85/1.81 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_tan__pi_0,axiom, % 1.85/1.81 c_Transcendental_Otan(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_pi__not__less__zero_0,axiom, % 1.85/1.81 ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_real__le__eq__diff_0,axiom, % 1.85/1.81 ( 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) % 1.85/1.81 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_real__le__eq__diff_1,axiom, % 1.85/1.81 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.85/1.81 | ~ 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) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_eq__real__def_0,axiom, % 1.85/1.81 ( c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.85/1.81 | ~ c_HOL_Oeq__class_Oeq(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_eq__real__def_1,axiom, % 1.85/1.81 ( c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.85/1.81 | c_HOL_Oeq__class_Oeq(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_of__real_Odiff_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.85/1.81 | ~ class_RealVector_Oreal__algebra__1(T_a) % 1.85/1.81 | c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal),T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(V_x,T_a),c_RealVector_Oof__real(V_y,T_a),T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_of__real__diff_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__algebra__1(T_a) % 1.85/1.81 | c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal),T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(V_x,T_a),c_RealVector_Oof__real(V_y,T_a),T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_scaleR__left__diff__distrib_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__vector(T_a) % 1.85/1.81 | 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) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_scaleR__left_Odiff_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__vector(T_a) % 1.85/1.81 | 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) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_scaleR_Odiff__left_0,axiom, % 1.85/1.81 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.85/1.81 | 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) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_0_0,axiom, % 1.85/1.81 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_pi1_0,axiom, % 1.85/1.81 c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_sin__gt__zero__pi_0,axiom, % 1.85/1.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(V_x),tc_RealDef_Oreal) % 1.85/1.81 | ~ c_HOL_Oord__class_Oless(V_x,c_Transcendental_Opi,tc_RealDef_Oreal) % 1.85/1.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_sin__ge__zero_0,axiom, % 1.85/1.81 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(V_x),tc_RealDef_Oreal) % 1.85/1.81 | ~ c_lessequals(V_x,c_Transcendental_Opi,tc_RealDef_Oreal) % 1.85/1.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_sin__periodic__pi__diff_0,axiom, % 1.85/1.81 c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_calculation_I1_J_0,axiom, % 1.85/1.81 ( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.85/1.81 | ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal) % 1.85/1.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_pi__neq__zero_0,axiom, % 1.85/1.81 c_Transcendental_Opi != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_sin__zero_0,axiom, % 1.85/1.81 c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_eq__iff__diff__eq__0_0,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.85/1.81 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_right__minus__eq_1,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.85/1.81 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_diff__0__right_0,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.85/1.81 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_diff__self_0,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.85/1.81 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_class__ringb_Osubr0__iff_1,axiom, % 1.85/1.81 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.85/1.81 | ~ class_Int_Onumber__ring(T_a) % 1.85/1.81 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_sin__pi_0,axiom, % 1.85/1.81 c_Transcendental_Osin(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_eq__eqI_0,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.85/1.81 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 1.85/1.81 | V_x_H = V_y_H ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_eq__eqI_1,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.85/1.81 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 1.85/1.81 | V_xa = V_y ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_eq__iff__diff__eq__0_1,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.85/1.81 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.81 | V_a = V_b ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_right__minus__eq_0,axiom, % 1.85/1.81 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.85/1.81 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.81 | V_a = V_b ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_class__ringb_Osubr0__iff_0,axiom, % 1.85/1.81 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.85/1.81 | ~ class_Int_Onumber__ring(T_a) % 1.85/1.81 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.85/1.81 | V_x = V_y ) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_CHAINED_0,axiom, % 1.85/1.81 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_CHAINED_0_01,axiom, % 1.85/1.81 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(cls_conjecture_0,negated_conjecture, % 1.85/1.81 c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 1.85/1.81 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 1.85/1.81 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 1.85/1.81 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom, % 1.85/1.81 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom, % 1.85/1.81 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 1.85/1.81 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom, % 1.85/1.81 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 1.85/1.81 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 1.85/1.81 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom, % 1.85/1.81 class_Ring__and__Field_Opordered__semiring(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom, % 1.85/1.81 class_Ring__and__Field_Oordered__semiring(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom, % 1.85/1.81 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom, % 1.85/1.81 class_Ring__and__Field_Oordered__semidom(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 1.85/1.81 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom, % 1.85/1.81 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom, % 1.85/1.81 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 1.85/1.81 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom, % 1.85/1.81 class_Ring__and__Field_Ocomm__semiring(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 1.85/1.81 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom, % 1.85/1.81 class_Ring__and__Field_Ozero__neq__one(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom, % 1.85/1.81 class_Lattices_Oupper__semilattice(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom, % 1.85/1.81 class_Lattices_Olower__semilattice(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom, % 1.85/1.81 class_Ring__and__Field_Omult__mono1(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom, % 1.85/1.81 class_Ring__and__Field_Omult__zero(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom, % 1.85/1.81 class_Ring__and__Field_Omult__mono(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom, % 1.85/1.81 class_OrderedGroup_Omonoid__mult(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom, % 1.85/1.81 class_Lattices_Odistrib__lattice(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom, % 1.85/1.81 class_Ring__and__Field_Osemiring(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom, % 1.85/1.81 class_OrderedGroup_Omonoid__add(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Divides_Osemiring__div,axiom, % 1.85/1.81 class_Divides_Osemiring__div(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Ring__and__Field_Odvd,axiom, % 1.85/1.81 class_Ring__and__Field_Odvd(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 1.85/1.81 class_Orderings_Opreorder(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 1.85/1.81 class_Orderings_Olinorder(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Lattices_Olattice,axiom, % 1.85/1.81 class_Lattices_Olattice(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__Orderings_Oorder,axiom, % 1.85/1.81 class_Orderings_Oorder(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_nat__HOL_Oeq,axiom, % 1.85/1.81 class_HOL_Oeq(tc_nat) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 1.85/1.81 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 1.85/1.81 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 1.85/1.81 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom, % 1.85/1.81 class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__meet,axiom, % 1.85/1.81 class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__join,axiom, % 1.85/1.81 class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom, % 1.85/1.81 class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 1.85/1.81 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom, % 1.85/1.81 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom, % 1.85/1.81 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom, % 1.85/1.81 class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom, % 1.85/1.81 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 1.85/1.81 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom, % 1.85/1.81 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom, % 1.85/1.81 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom, % 1.85/1.81 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom, % 1.85/1.81 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom, % 1.85/1.81 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom, % 1.85/1.81 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom, % 1.85/1.81 class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs,axiom, % 1.85/1.81 class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom, % 1.85/1.81 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom, % 1.85/1.81 class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom, % 1.85/1.81 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom, % 1.85/1.81 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom, % 1.85/1.81 class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom, % 1.85/1.81 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom, % 1.85/1.81 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom, % 1.85/1.81 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom, % 1.85/1.81 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,axiom, % 1.85/1.81 class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom, % 1.85/1.81 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom, % 1.85/1.81 class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom, % 1.85/1.81 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring,axiom, % 1.85/1.81 class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring,axiom, % 1.85/1.81 class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom, % 1.85/1.81 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom, % 1.85/1.81 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom, % 1.85/1.81 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom, % 1.85/1.81 class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom, % 1.85/1.81 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__div__algebra,axiom, % 1.85/1.81 class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1,axiom, % 1.85/1.81 class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Lattices_Oupper__semilattice,axiom, % 1.85/1.81 class_Lattices_Oupper__semilattice(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Lattices_Olower__semilattice,axiom, % 1.85/1.81 class_Lattices_Olower__semilattice(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom, % 1.85/1.81 class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra__1,axiom, % 1.85/1.81 class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom, % 1.85/1.81 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom, % 1.85/1.81 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom, % 1.85/1.81 class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring,axiom, % 1.85/1.81 class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,axiom, % 1.85/1.81 class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Lattices_Odistrib__lattice,axiom, % 1.85/1.81 class_Lattices_Odistrib__lattice(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom, % 1.85/1.81 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra,axiom, % 1.85/1.81 class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__RealVector_Ometric__space,axiom, % 1.85/1.81 class_RealVector_Ometric__space(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom, % 1.85/1.81 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__vector,axiom, % 1.85/1.81 class_RealVector_Oreal__vector(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom, % 1.85/1.81 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,axiom, % 1.85/1.81 class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__field,axiom, % 1.85/1.81 class_RealVector_Oreal__field(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom, % 1.85/1.81 class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__RealVector_Odist__norm,axiom, % 1.85/1.81 class_RealVector_Odist__norm(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom, % 1.85/1.81 class_Ring__and__Field_Oring(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom, % 1.85/1.81 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odvd,axiom, % 1.85/1.81 class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom, % 1.85/1.81 class_Orderings_Opreorder(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom, % 1.85/1.81 class_Orderings_Olinorder(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Lattices_Olattice,axiom, % 1.85/1.81 class_Lattices_Olattice(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom, % 1.85/1.81 class_Orderings_Oorder(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom, % 1.85/1.81 class_Int_Onumber__ring(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 cnf(clsarity_RealDef__Oreal__HOL_Oeq,axiom, % 1.85/1.81 class_HOL_Oeq(tc_RealDef_Oreal) ). % 1.85/1.81 % 1.85/1.81 %------------------------------------------------------------------------------ % 1.85/1.81 %------------------------------------------- % 1.85/1.81 % Proof found % 1.85/1.81 % SZS status Theorem for theBenchmark % 1.85/1.81 % SZS output start Proof % 1.85/1.81 %ClaNum:1404(EqnAxiom:151) % 1.85/1.81 %VarNum:9445(SingletonVarNum:2933) % 1.85/1.81 %MaxLitNum:6 % 1.85/1.81 %MaxfuncDepth:4 % 1.85/1.81 %SharedTerms:132 % 1.85/1.81 %goalClause: 295 % 1.85/1.81 %singleGoalClaCount:1 % 1.85/1.81 [152]P1(a1) % 1.85/1.81 [153]P49(a1) % 1.85/1.81 [154]P50(a1) % 1.85/1.81 [155]P51(a1) % 1.85/1.81 [156]P2(a1) % 1.85/1.81 [157]P2(a32) % 1.85/1.81 [158]P3(a1) % 1.85/1.81 [159]P61(a1) % 1.85/1.81 [160]P61(a32) % 1.85/1.81 [161]P62(a1) % 1.85/1.81 [162]P62(a32) % 1.85/1.81 [163]P68(a1) % 1.85/1.81 [164]P63(a1) % 1.85/1.81 [165]P4(a1) % 1.85/1.81 [166]P69(a1) % 1.85/1.81 [167]P52(a1) % 1.85/1.81 [168]P59(a1) % 1.85/1.81 [169]P12(a1) % 1.85/1.81 [170]P12(a32) % 1.85/1.81 [171]P38(a1) % 1.85/1.81 [172]P71(a1) % 1.85/1.81 [173]P71(a32) % 1.85/1.81 [174]P42(a1) % 1.85/1.81 [175]P5(a32) % 1.85/1.81 [176]P72(a1) % 1.85/1.81 [177]P72(a32) % 1.85/1.81 [178]P44(a1) % 1.85/1.81 [179]P54(a1) % 1.85/1.81 [180]P54(a32) % 1.85/1.81 [181]P13(a1) % 1.85/1.81 [182]P13(a32) % 1.85/1.81 [183]P17(a1) % 1.85/1.81 [184]P26(a1) % 1.85/1.81 [185]P70(a1) % 1.85/1.81 [186]P15(a1) % 1.85/1.81 [187]P15(a32) % 1.85/1.81 [188]P16(a1) % 1.85/1.81 [189]P16(a32) % 1.85/1.81 [190]P27(a1) % 1.85/1.81 [191]P75(a1) % 1.85/1.81 [192]P76(a1) % 1.85/1.81 [193]P34(a1) % 1.85/1.81 [194]P34(a32) % 1.85/1.81 [195]P35(a1) % 1.85/1.81 [196]P35(a32) % 1.85/1.81 [197]P53(a1) % 1.85/1.81 [198]P39(a1) % 1.85/1.81 [199]P39(a32) % 1.85/1.81 [200]P28(a1) % 1.85/1.81 [201]P60(a1) % 1.85/1.81 [202]P60(a32) % 1.85/1.81 [203]P55(a1) % 1.85/1.81 [204]P74(a1) % 1.85/1.81 [205]P74(a32) % 1.85/1.81 [206]P45(a1) % 1.85/1.81 [207]P18(a1) % 1.85/1.81 [208]P18(a32) % 1.85/1.81 [209]P57(a1) % 1.85/1.81 [210]P57(a32) % 1.85/1.81 [211]P11(a1) % 1.85/1.81 [212]P11(a32) % 1.85/1.81 [213]P77(a1) % 1.85/1.81 [214]P77(a32) % 1.85/1.81 [215]P36(a1) % 1.85/1.81 [216]P36(a32) % 1.85/1.81 [217]P56(a1) % 1.85/1.81 [218]P73(a1) % 1.85/1.81 [219]P73(a32) % 1.85/1.81 [220]P22(a1) % 1.85/1.81 [221]P22(a32) % 1.85/1.81 [222]P64(a1) % 1.85/1.81 [223]P19(a1) % 1.85/1.81 [224]P58(a1) % 1.85/1.81 [225]P23(a1) % 1.85/1.81 [226]P23(a32) % 1.85/1.81 [227]P24(a1) % 1.85/1.81 [228]P24(a32) % 1.85/1.81 [229]P47(a1) % 1.85/1.81 [230]P48(a1) % 1.85/1.81 [231]P29(a1) % 1.85/1.81 [232]P29(a32) % 1.85/1.81 [233]P25(a1) % 1.85/1.81 [234]P25(a32) % 1.85/1.81 [235]P30(a1) % 1.85/1.81 [236]P40(a1) % 1.85/1.81 [237]P40(a32) % 1.85/1.81 [238]P20(a1) % 1.85/1.81 [239]P20(a32) % 1.85/1.81 [240]P31(a1) % 1.85/1.81 [241]P43(a1) % 1.85/1.81 [242]P46(a1) % 1.85/1.81 [243]P33(a1) % 1.85/1.81 [244]P78(a1) % 1.85/1.81 [245]P78(a32) % 1.85/1.81 [246]P65(a1) % 1.85/1.81 [247]P65(a32) % 1.85/1.81 [248]P37(a1) % 1.85/1.81 [249]P37(a32) % 1.85/1.81 [250]P79(a1) % 1.85/1.81 [251]P66(a1) % 1.85/1.81 [252]P66(a32) % 1.85/1.81 [253]P80(a1) % 1.85/1.81 [254]P80(a32) % 1.85/1.81 [255]P67(a1) % 1.85/1.81 [256]P67(a32) % 1.85/1.81 [257]P32(a1) % 1.85/1.81 [258]P32(a32) % 1.85/1.81 [259]P41(a1) % 1.85/1.81 [279]P6(a12,a33,a1) % 1.85/1.81 [260]E(f2(a1),f29(a12)) % 1.85/1.81 [261]E(f30(a12),f2(a1)) % 1.85/1.81 [282]P6(f2(a1),a12,a1) % 1.85/1.81 [283]P6(f2(a1),a33,a1) % 1.85/1.81 [284]P8(f2(a1),a12,a1) % 1.85/1.81 [304]P6(f8(a33,a12,a1),a12,a1) % 1.85/1.81 [308]P6(f2(a1),f8(a33,a12,a1),a1) % 1.85/1.81 [330]~E(f2(a1),a12) % 1.85/1.81 [331]~E(f3(a1),f2(a1)) % 1.85/1.81 [335]~P6(a12,f2(a1),a1) % 1.85/1.81 [262]E(f13(f2(a1)),f2(a1)) % 1.85/1.81 [263]E(f13(f3(a1)),f3(a1)) % 1.85/1.81 [264]E(f18(f2(a1)),f3(a1)) % 1.85/1.81 [265]E(f29(f2(a1)),f2(a1)) % 1.85/1.81 [266]E(f30(f2(a1)),f2(a1)) % 1.85/1.81 [267]E(f19(f2(a1)),f2(a1)) % 1.85/1.81 [269]E(f4(f2(a1),a1),f2(a1)) % 1.85/1.81 [295]E(f30(f8(a33,a12,a1)),f2(a1)) % 1.85/1.81 [337]~P6(f2(a1),f10(f2(a1),f2(a1),a1),a1) % 1.85/1.81 [298]E(f10(f9(f3(a1),a1),f9(f3(a1),a1),a1),f3(a1)) % 1.85/1.81 [314]E(f11(f10(f2(a1),f2(a1),a1),f10(f2(a1),f2(a1),a1),a1),f2(a1)) % 1.85/1.81 [280]P8(x2801,x2801,a1) % 1.85/1.81 [281]P7(x2811,x2811,a1) % 1.85/1.81 [334]~P6(x3341,x3341,a1) % 1.85/1.81 [287]P8(f18(x2871),f3(a1),a1) % 1.85/1.81 [288]P8(f30(x2881),f3(a1),a1) % 1.85/1.81 [291]P8(f2(a1),f20(x2911,a32),a1) % 1.85/1.81 [336]~P6(f20(x3361,a32),f2(a1),a1) % 1.85/1.81 [268]E(f29(f19(x2681)),x2681) % 1.85/1.81 [270]E(f14(x2701,f2(a1)),f3(a1)) % 1.85/1.81 [271]E(f17(x2711,f2(a1)),f2(a1)) % 1.85/1.81 [272]E(f14(f3(a1),x2721),f3(a1)) % 1.85/1.81 [273]E(f18(f9(x2731,a1)),f18(x2731)) % 1.85/1.81 [274]E(f13(f4(x2741,a1)),f4(f13(x2741),a1)) % 1.85/1.81 [275]E(f13(f9(x2751,a1)),f9(f13(x2751),a1)) % 1.85/1.81 [276]E(f29(f9(x2761,a1)),f9(f29(x2761),a1)) % 1.85/1.81 [277]E(f30(f9(x2771,a1)),f9(f30(x2771),a1)) % 1.85/1.81 [278]E(f19(f9(x2781,a1)),f9(f19(x2781),a1)) % 1.85/1.81 [285]E(f10(f3(a1),x2851,a1),x2851) % 1.85/1.81 [290]E(f11(x2901,f9(x2901,a1),a1),f2(a1)) % 1.85/1.81 [297]E(f29(f11(x2971,a12,a1)),f29(x2971)) % 1.85/1.81 [299]E(f18(f11(x2991,a12,a1)),f9(f18(x2991),a1)) % 1.85/1.81 [300]E(f30(f8(x3001,a12,a1)),f9(f30(x3001),a1)) % 1.85/1.81 [301]E(f30(f11(x3011,a12,a1)),f9(f30(x3011),a1)) % 1.85/1.81 [302]E(f30(f11(a12,x3021,a1)),f9(f30(x3021),a1)) % 1.85/1.81 [332]~E(f18(f19(x3321)),f2(a1)) % 1.85/1.81 [305]E(f30(f10(a12,f20(x3051,a32),a1)),f2(a1)) % 1.85/1.81 [306]E(f29(f10(f20(x3061,a32),a12,a1)),f2(a1)) % 1.85/1.81 [307]E(f30(f10(f20(x3071,a32),a12,a1)),f2(a1)) % 1.85/1.81 [315]E(f11(f10(f18(x3151),f18(x3151),a1),f10(f30(x3151),f30(x3151),a1),a1),f3(a1)) % 1.85/1.81 [326]E(f10(f11(x3261,f3(a1),a1),f8(x3261,f3(a1),a1),a1),f8(f10(x3261,x3261,a1),f3(a1),a1)) % 1.85/1.81 [293]P6(f2(a1),f14(x2931,x2932),a1) % 1.85/1.81 [294]P8(f2(a1),f14(x2941,x2942),a1) % 1.85/1.81 [296]E(f10(x2961,x2962,a1),f10(x2962,x2961,a1)) % 1.85/1.81 [333]~E(f14(x3331,x3332),f2(a1)) % 1.85/1.81 [289]E(f4(f14(x2891,x2892),a1),f14(x2891,f9(x2892,a1))) % 1.85/1.81 [303]E(f11(x3031,f9(x3032,a1),a1),f8(x3031,x3032,a1)) % 1.85/1.81 [309]E(f8(f11(x3091,x3092,a1),x3092,a1),x3091) % 1.85/1.81 [310]E(f11(f8(x3101,x3102,a1),x3102,a1),x3101) % 1.85/1.81 [312]E(f10(f13(x3121),f13(x3122),a1),f13(f10(x3121,x3122,a1))) % 1.85/1.81 [317]P8(f9(f10(x3171,x3171,a1),a1),f10(x3172,x3172,a1),a1) % 1.85/1.81 [327]P8(f2(a1),f11(f10(x3271,x3271,a1),f10(x3272,x3272,a1),a1),a1) % 1.85/1.81 [320]E(f11(f10(f18(x3201),f18(x3202),a1),f10(f30(x3201),f30(x3202),a1),a1),f18(f8(x3202,x3201,a1))) % 1.85/1.81 [321]E(f11(f10(f18(x3211),f18(x3212),a1),f10(f30(x3211),f30(x3212),a1),a1),f18(f8(x3211,x3212,a1))) % 1.85/1.81 [322]E(f8(f10(f18(x3221),f18(x3222),a1),f10(f30(x3221),f30(x3222),a1),a1),f18(f11(x3221,x3222,a1))) % 1.85/1.81 [323]E(f8(f10(f18(x3231),f30(x3232),a1),f10(f30(x3231),f18(x3232),a1),a1),f30(f8(x3232,x3231,a1))) % 1.85/1.81 [324]E(f8(f10(f30(x3241),f18(x3242),a1),f10(f18(x3241),f30(x3242),a1),a1),f30(f8(x3241,x3242,a1))) % 1.85/1.81 [325]E(f11(f10(f30(x3251),f18(x3252),a1),f10(f18(x3251),f30(x3252),a1),a1),f30(f11(x3251,x3252,a1))) % 1.85/1.81 [328]P8(x3281,f13(f11(f10(x3281,x3281,a1),f10(x3282,x3282,a1),a1)),a1) % 1.85/1.81 [329]P8(f2(a1),f13(f11(f10(x3291,x3291,a1),f10(x3292,x3292,a1),a1)),a1) % 1.85/1.81 [318]E(f29(f11(x3181,f10(f20(x3182,a32),a12,a1),a1)),f29(x3181)) % 1.85/1.81 [292]E(f14(f14(x2921,x2922),x2923),f14(f14(x2921,x2923),x2922)) % 1.85/1.81 [311]E(f14(x3111,f10(x3112,x3113,a1)),f14(f14(x3111,x3112),x3113)) % 1.85/1.81 [313]E(f10(f14(x3131,x3132),f14(x3131,x3133),a1),f14(x3131,f11(x3132,x3133,a1))) % 1.85/1.81 [316]E(f10(f10(x3161,x3162,a1),x3163,a1),f10(x3161,f10(x3162,x3163,a1),a1)) % 1.85/1.81 [319]E(f11(f10(x3191,x3192,a1),f10(x3193,x3192,a1),a1),f10(f11(x3191,x3193,a1),x3192,a1)) % 1.85/1.81 [338]~E(a33,a12)+~E(f18(a33),f3(a1)) % 1.85/1.81 [421]~P3(a31)+E(f15(a33,f2(a31),a31),f21(a33,a31)) % 1.85/1.81 [422]~P3(a31)+E(f16(a33,f2(a31),a31),f22(a33,a31)) % 1.85/1.81 [339]~E(f13(x3391),f2(a1))+E(x3391,f2(a1)) % 1.85/1.81 [340]~E(f13(x3401),f3(a1))+E(x3401,f3(a1)) % 1.85/1.81 [342]~E(f18(x3421),f3(a1))+E(f30(x3421),f2(a1)) % 1.85/1.81 [344]~P80(x3441)+~E(f3(x3441),f2(x3441)) % 1.85/1.81 [443]~P72(x4431)+P6(f2(x4431),f3(x4431),x4431) % 1.85/1.81 [444]~P72(x4441)+P8(f2(x4441),f3(x4441),x4441) % 1.85/1.81 [496]~E(f13(x4961),f2(a1))+~P6(f2(a1),x4961,a1) % 1.85/1.81 [517]~P72(x5171)+~P6(f3(x5171),f2(x5171),x5171) % 1.85/1.81 [518]~P72(x5181)+~P8(f3(x5181),f2(x5181),x5181) % 1.85/1.81 [608]~P6(x6081,f2(a1),a1)+P6(f13(x6081),f2(a1),a1) % 1.85/1.81 [609]~P6(x6091,f3(a1),a1)+P6(f13(x6091),f3(a1),a1) % 1.85/1.81 [610]~P8(x6101,f2(a1),a1)+P8(f13(x6101),f2(a1),a1) % 1.85/1.81 [611]~P8(x6111,f3(a1),a1)+P8(f13(x6111),f3(a1),a1) % 1.85/1.81 [613]~P6(f2(a1),x6131,a1)+P6(f2(a1),f13(x6131),a1) % 1.85/1.81 [614]~P6(f3(a1),x6141,a1)+P6(f3(a1),f13(x6141),a1) % 1.85/1.81 [616]~P8(f2(a1),x6161,a1)+P8(f2(a1),f13(x6161),a1) % 1.85/1.81 [618]~P8(f3(a1),x6181,a1)+P8(f3(a1),f13(x6181),a1) % 1.85/1.81 [621]~P6(f13(x6211),f2(a1),a1)+P6(x6211,f2(a1),a1) % 1.85/1.81 [622]~P6(f13(x6221),f3(a1),a1)+P6(x6221,f3(a1),a1) % 1.85/1.81 [623]~P8(f13(x6231),f2(a1),a1)+P8(x6231,f2(a1),a1) % 1.85/1.81 [624]~P8(f13(x6241),f3(a1),a1)+P8(x6241,f3(a1),a1) % 1.85/1.81 [625]~P6(f2(a1),f13(x6251),a1)+P6(f2(a1),x6251,a1) % 1.85/1.81 [626]~P6(f3(a1),f13(x6261),a1)+P6(f3(a1),x6261,a1) % 1.85/1.81 [627]~P8(f2(a1),f13(x6271),a1)+P8(f2(a1),x6271,a1) % 1.85/1.81 [628]~P8(f3(a1),f13(x6281),a1)+P8(f3(a1),x6281,a1) % 1.85/1.81 [634]E(x6341,f2(a1))+P6(f2(a1),f10(x6341,x6341,a1),a1) % 1.85/1.81 [345]~P42(x3451)+E(f25(f2(a1),x3451),f2(x3451)) % 1.85/1.81 [346]~P42(x3461)+E(f25(f3(a1),x3461),f3(x3461)) % 1.85/1.81 [347]~P53(x3471)+E(f26(f2(x3471),x3471),f2(a1)) % 1.85/1.81 [348]~P48(x3481)+E(f26(f3(x3481),x3481),f3(a1)) % 1.85/1.81 [350]~P51(x3501)+E(f4(f2(x3501),x3501),f2(x3501)) % 1.85/1.81 [351]~P59(x3511)+E(f4(f3(x3511),x3511),f3(x3511)) % 1.85/1.81 [352]~P17(x3521)+E(f9(f2(x3521),x3521),f2(x3521)) % 1.85/1.81 [353]~P33(x3531)+E(f9(f2(x3531),x3531),f2(x3531)) % 1.85/1.81 [354]~P3(x3541)+E(f21(f2(x3541),x3541),f2(x3541)) % 1.85/1.81 [355]~P3(x3551)+E(f22(f2(x3551),x3551),f2(x3551)) % 1.85/1.81 [356]~P26(x3561)+E(f5(f2(x3561),x3561),f2(x3561)) % 1.85/1.81 [357]~P70(x3571)+E(f5(f3(x3571),x3571),f3(x3571)) % 1.85/1.81 [446]~P3(x4461)+E(f11(f2(x4461),f2(x4461),x4461),f2(x4461)) % 1.85/1.81 [454]E(x4541,f2(a1))+E(f10(f4(x4541,a1),x4541,a1),f3(a1)) % 1.85/1.81 [457]P6(f2(a1),x4571,a1)+~E(f14(x4571,f3(a1)),x4571) % 1.85/1.81 [499]~P53(x4991)+P8(f26(f2(x4991),x4991),f2(a1),a1) % 1.85/1.81 [504]~P26(x5041)+P8(f5(f2(x5041),x5041),f2(x5041),x5041) % 1.85/1.81 [507]~P6(f2(a1),x5071,a1)+E(f14(x5071,f3(a1)),x5071) % 1.85/1.81 [629]~P53(x6291)+~P6(f2(a1),f26(f2(x6291),x6291),a1) % 1.85/1.81 [633]~P26(x6331)+~P6(f2(x6331),f5(f2(x6331),x6331),x6331) % 1.85/1.81 [741]~P72(x7411)+P6(f2(x7411),f11(f3(x7411),f3(x7411),x7411),x7411) % 1.85/1.81 [957]~P69(x9571)+E(f11(f10(f2(x9571),f2(x9571),x9571),f10(f2(x9571),f2(x9571),x9571),x9571),f2(x9571)) % 1.85/1.81 [1347]~P69(x13471)+P8(f11(f10(f2(x13471),f2(x13471),x13471),f10(f2(x13471),f2(x13471),x13471),x13471),f2(x13471),x13471) % 1.85/1.81 [1386]~P69(x13861)+~P6(f2(x13861),f11(f10(f2(x13861),f2(x13861),x13861),f10(f2(x13861),f2(x13861),x13861),x13861),x13861) % 1.85/1.81 [385]~P39(x3852)+P8(x3851,x3851,x3852) % 1.85/1.81 [386]~P40(x3862)+P8(x3861,x3861,x3862) % 1.85/1.81 [387]~P54(x3872)+P9(x3871,x3871,x3872) % 1.85/1.81 [388]~P11(x3882)+P7(x3881,x3881,x3882) % 1.85/1.81 [479]~P6(x4792,x4792,x4791)+~P2(x4791) % 1.85/1.81 [480]~P6(x4802,x4802,x4801)+~P39(x4801) % 1.85/1.81 [481]~P6(x4812,x4812,x4811)+~P40(x4811) % 1.85/1.81 [506]P8(x5062,x5061,a1)+P8(x5061,x5062,a1) % 1.85/1.81 [562]~P6(x5621,x5622,a1)+P8(x5621,x5622,a1) % 1.85/1.81 [341]E(x3411,x3412)+~E(f13(x3411),f13(x3412)) % 1.85/1.81 [368]E(x3681,x3682)+~E(f20(x3681,a32),f20(x3682,a32)) % 1.85/1.81 [389]~P21(x3892)+E(f10(x3891,x3891,x3892),x3891) % 1.85/1.81 [390]~P2(x3902)+E(f23(x3901,x3901,x3902),x3901) % 1.85/1.81 [391]~P2(x3912)+E(f24(x3911,x3911,x3912),x3911) % 1.85/1.81 [392]~P12(x3922)+E(f15(x3921,x3921,x3922),x3921) % 1.85/1.81 [393]~P15(x3932)+E(f16(x3931,x3931,x3932),x3931) % 1.85/1.81 [394]~P38(x3942)+E(f27(x3941,x3941,x3942),f2(a1)) % 1.85/1.81 [397]~P17(x3972)+E(f8(x3971,x3971,x3972),f2(x3972)) % 1.85/1.81 [398]~P19(x3982)+E(f8(x3981,x3981,x3982),f2(x3982)) % 1.85/1.81 [399]~P5(x3992)+E(f6(x3991,x3991,x3992),f2(x3992)) % 1.85/1.81 [401]~P54(x4012)+P9(x4011,f2(x4012),x4012) % 1.85/1.81 [402]~P54(x4021)+P9(f3(x4021),x4022,x4021) % 1.85/1.81 [462]~P26(x4622)+P8(x4621,f5(x4621,x4622),x4622) % 1.85/1.81 [465]~P53(x4652)+P8(f2(a1),f26(x4651,x4652),a1) % 1.85/1.81 [482]~P3(x4821)+P8(f2(x4821),f21(x4822,x4821),x4821) % 1.85/1.81 [483]~P26(x4831)+P8(f2(x4831),f5(x4832,x4831),x4831) % 1.85/1.81 [484]~P3(x4842)+P8(f22(x4841,x4842),f2(x4842),x4842) % 1.85/1.81 [497]E(x4971,f9(x4972,a1))+~E(f11(x4972,x4971,a1),f2(a1)) % 1.85/1.81 [519]~P26(x5192)+P8(f9(x5191,x5192),f5(x5191,x5192),x5192) % 1.85/1.81 [561]~P53(x5611)+~P6(f26(x5612,x5611),f2(a1),a1) % 1.85/1.81 [564]~P7(x5641,x5642,a1)+E(f8(x5641,x5642,a1),f2(a1)) % 1.85/1.81 [566]P7(x5661,x5662,a1)+~E(f8(x5661,x5662,a1),f2(a1)) % 1.85/1.81 [576]~P26(x5761)+~P6(f5(x5762,x5761),f2(x5761),x5761) % 1.85/1.81 [592]~P6(x5921,x5922,a1)+P6(f13(x5921),f13(x5922),a1) % 1.85/1.81 [593]~P6(x5931,x5932,a1)+P6(f19(x5931),f19(x5932),a1) % 1.85/1.81 [594]~P8(x5941,x5942,a1)+P8(f13(x5941),f13(x5942),a1) % 1.85/1.81 [595]~P8(x5951,x5952,a1)+P8(f19(x5951),f19(x5952),a1) % 1.85/1.81 [630]P6(x6301,x6302,a1)+~P6(f13(x6301),f13(x6302),a1) % 1.85/1.81 [631]P8(x6311,x6312,a1)+~P8(f13(x6311),f13(x6312),a1) % 1.85/1.81 [662]~P38(x6622)+P8(f27(x6621,x6621,x6622),f2(a1),a1) % 1.85/1.81 [674]~P69(x6741)+P8(f2(x6741),f10(x6742,x6742,x6741),x6741) % 1.85/1.81 [831]~P8(x8311,x8312,a1)+P8(f8(x8311,x8312,a1),f2(a1),a1) % 1.85/1.81 [866]~P38(x8661)+~P6(f2(a1),f27(x8662,x8662,x8661),a1) % 1.85/1.81 [876]~P69(x8761)+~P6(f10(x8762,x8762,x8761),f2(x8761),x8761) % 1.85/1.81 [884]~P6(f9(x8841,a1),x8842,a1)+P6(f2(a1),f11(x8841,x8842,a1),a1) % 1.85/1.81 [885]~P8(f9(x8851,a1),x8852,a1)+P8(f2(a1),f11(x8851,x8852,a1),a1) % 1.85/1.81 [886]~P6(x8862,f9(x8861,a1),a1)+P6(f11(x8861,x8862,a1),f2(a1),a1) % 1.85/1.81 [887]~P8(x8872,f9(x8871,a1),a1)+P8(f11(x8871,x8872,a1),f2(a1),a1) % 1.85/1.81 [912]P8(x9121,x9122,a1)+~P8(f8(x9121,x9122,a1),f2(a1),a1) % 1.85/1.81 [953]P6(x9531,f9(x9532,a1),a1)+~P6(f11(x9532,x9531,a1),f2(a1),a1) % 1.85/1.81 [954]P8(x9541,f9(x9542,a1),a1)+~P8(f11(x9542,x9541,a1),f2(a1),a1) % 1.85/1.81 [955]P6(f9(x9551,a1),x9552,a1)+~P6(f2(a1),f11(x9551,x9552,a1),a1) % 1.85/1.81 [956]P8(f9(x9561,a1),x9562,a1)+~P8(f2(a1),f11(x9561,x9562,a1),a1) % 1.85/1.81 [372]~P17(x3722)+E(f9(f9(x3721,x3722),x3722),x3721) % 1.85/1.81 [373]~P14(x3732)+E(f9(f9(x3731,x3732),x3732),x3731) % 1.85/1.81 [382]~P26(x3822)+E(f5(f9(x3821,x3822),x3822),f5(x3821,x3822)) % 1.85/1.81 [383]~P26(x3832)+E(f5(f5(x3831,x3832),x3832),f5(x3831,x3832)) % 1.85/1.81 [384]~P53(x3842)+E(f26(f9(x3841,x3842),x3842),f26(x3841,x3842)) % 1.85/1.81 [400]~P52(x4002)+E(f28(f3(a1),x4001,x4002),x4001) % 1.85/1.81 [403]~P17(x4032)+E(f8(x4031,f2(x4032),x4032),x4031) % 1.85/1.81 [404]~P50(x4042)+E(f7(x4041,f3(x4042),x4042),x4041) % 1.85/1.81 [405]~P54(x4052)+E(f10(x4051,f3(x4052),x4052),x4051) % 1.85/1.81 [406]~P29(x4062)+E(f10(x4061,f3(x4062),x4062),x4061) % 1.85/1.81 [407]~P54(x4072)+E(f11(x4071,f2(x4072),x4072),x4071) % 1.85/1.81 [408]~P22(x4082)+E(f11(x4081,f2(x4082),x4082),x4081) % 1.85/1.81 [409]~P32(x4092)+E(f11(x4091,f2(x4092),x4092),x4091) % 1.85/1.81 [410]~P5(x4102)+E(f6(x4101,f2(x4102),x4102),x4101) % 1.85/1.81 [412]~P54(x4121)+E(f10(f3(x4121),x4122,x4121),x4122) % 1.85/1.81 [413]~P29(x4131)+E(f10(f3(x4131),x4132,x4131),x4132) % 1.85/1.81 [414]~P25(x4141)+E(f10(f3(x4141),x4142,x4141),x4142) % 1.85/1.81 [416]~P54(x4161)+E(f11(f2(x4161),x4162,x4161),x4162) % 1.85/1.81 [417]~P22(x4171)+E(f11(f2(x4171),x4172,x4171),x4172) % 1.85/1.81 [418]~P32(x4181)+E(f11(f2(x4181),x4182,x4181),x4182) % 1.85/1.81 [419]~P52(x4192)+E(f28(f2(a1),x4191,x4192),f2(x4192)) % 1.85/1.81 [420]~P53(x4202)+E(f28(f2(a1),x4201,x4202),f2(x4202)) % 1.85/1.81 [425]~P54(x4252)+E(f10(x4251,f2(x4252),x4252),f2(x4252)) % 1.85/1.81 [427]~P45(x4272)+E(f10(x4271,f2(x4272),x4272),f2(x4272)) % 1.85/1.81 [428]~P79(x4282)+E(f10(x4281,f2(x4282),x4282),f2(x4282)) % 1.85/1.81 [429]~P66(x4292)+E(f10(x4291,f2(x4292),x4292),f2(x4292)) % 1.85/1.81 [430]~P52(x4302)+E(f28(x4301,f2(x4302),x4302),f2(x4302)) % 1.85/1.81 [431]~P53(x4312)+E(f28(x4311,f2(x4312),x4312),f2(x4312)) % 1.85/1.81 [432]~P5(x4322)+E(f6(x4321,f3(x4322),x4322),f2(x4322)) % 1.85/1.81 [433]~P1(x4331)+E(f7(f2(x4331),x4332,x4331),f2(x4331)) % 1.85/1.81 [434]~P50(x4341)+E(f7(f2(x4341),x4342,x4341),f2(x4341)) % 1.85/1.81 [436]~P54(x4361)+E(f10(f2(x4361),x4362,x4361),f2(x4361)) % 1.85/1.81 [438]~P45(x4381)+E(f10(f2(x4381),x4382,x4381),f2(x4381)) % 1.85/1.81 [439]~P79(x4391)+E(f10(f2(x4391),x4392,x4391),f2(x4391)) % 1.85/1.81 [440]~P66(x4401)+E(f10(f2(x4401),x4402,x4401),f2(x4401)) % 1.85/1.81 [441]~P5(x4411)+E(f6(f2(x4411),x4412,x4411),f2(x4411)) % 1.85/1.81 [451]~P42(x4512)+E(f28(x4511,f3(x4512),x4512),f25(x4511,x4512)) % 1.85/1.81 [452]~P50(x4521)+E(f7(f3(x4521),x4522,x4521),f4(x4522,x4521)) % 1.85/1.81 [453]~P17(x4531)+E(f8(f2(x4531),x4532,x4531),f9(x4532,x4531)) % 1.85/1.81 [456]~P42(x4562)+E(f25(f9(x4561,a1),x4562),f9(f25(x4561,x4562),x4562)) % 1.85/1.81 [459]~P3(x4592)+E(f21(f9(x4591,x4592),x4592),f9(f22(x4591,x4592),x4592)) % 1.85/1.81 [460]~P3(x4602)+E(f22(f9(x4601,x4602),x4602),f9(f21(x4601,x4602),x4602)) % 1.85/1.81 [470]~P17(x4702)+E(f11(x4701,f9(x4701,x4702),x4702),f2(x4702)) % 1.85/1.81 [472]~P17(x4722)+E(f11(f9(x4721,x4722),x4721,x4722),f2(x4722)) % 1.85/1.81 [473]~P19(x4732)+E(f11(f9(x4731,x4732),x4731,x4732),f2(x4732)) % 1.85/1.81 [498]~P28(x4982)+E(f15(x4981,f9(x4981,x4982),x4982),f5(x4981,x4982)) % 1.85/1.81 [521]~P3(x5212)+E(f11(f21(x5211,x5212),f22(x5211,x5212),x5212),x5211) % 1.85/1.81 [554]E(x5541,x5542)+~E(f11(x5541,f9(x5542,a1),a1),f2(a1)) % 1.85/1.81 [555]~P28(x5552)+E(f8(f21(x5551,x5552),f22(x5551,x5552),x5552),f5(x5551,x5552)) % 1.85/1.81 [579]~P26(x5792)+P8(f9(f5(x5791,x5792),x5792),f2(x5792),x5792) % 1.85/1.81 [637]~P63(x6372)+E(f10(f9(x6371,x6372),f9(x6371,x6372),x6372),f10(x6371,x6371,x6372)) % 1.85/1.81 [638]~P70(x6382)+E(f10(f5(x6381,x6382),f5(x6381,x6382),x6382),f10(x6381,x6381,x6382)) % 1.85/1.81 [691]~P72(x6912)+P6(x6911,f11(x6911,f3(x6912),x6912),x6912) % 1.85/1.81 [869]E(x8691,f2(a1))+~E(f10(x8692,x8692,a1),f9(f10(x8691,x8691,a1),a1)) % 1.85/1.81 [870]E(x8701,f2(a1))+~E(f10(x8701,x8701,a1),f9(f10(x8702,x8702,a1),a1)) % 1.85/1.81 [890]~P6(x8902,x8901,a1)+P6(f2(a1),f11(x8901,f9(x8902,a1),a1),a1) % 1.85/1.81 [1101]P6(x11011,x11012,a1)+~P6(f2(a1),f11(x11012,f9(x11011,a1),a1),a1) % 1.85/1.81 [1135]E(x11351,f2(a1))+~E(f11(f10(x11352,x11352,a1),f10(x11351,x11351,a1),a1),f2(a1)) % 1.85/1.81 [1136]E(x11361,f2(a1))+~E(f11(f10(x11361,x11361,a1),f10(x11362,x11362,a1),a1),f2(a1)) % 1.85/1.81 [1294]E(x12941,f2(a1))+P6(f2(a1),f11(f10(x12942,x12942,a1),f10(x12941,x12941,a1),a1),a1) % 1.85/1.81 [1295]E(x12951,f2(a1))+P6(f2(a1),f11(f10(x12951,x12951,a1),f10(x12952,x12952,a1),a1),a1) % 1.85/1.81 [520]~P4(x5201)+E(f10(f9(f3(x5201),x5201),x5202,x5201),f9(x5202,x5201)) % 1.85/1.81 [833]~P54(x8332)+E(f11(x8331,x8331,x8332),f10(f11(f3(x8332),f3(x8332),x8332),x8331,x8332)) % 1.85/1.81 [526]~P54(x5263)+E(f10(x5261,x5262,x5263),f10(x5262,x5261,x5263)) % 1.85/1.81 [527]~P2(x5273)+E(f23(x5271,x5272,x5273),f23(x5272,x5271,x5273)) % 1.85/1.81 [528]~P2(x5283)+E(f24(x5281,x5282,x5283),f24(x5282,x5281,x5283)) % 1.85/1.81 [529]~P12(x5293)+E(f15(x5291,x5292,x5293),f15(x5292,x5291,x5293)) % 1.85/1.81 [530]~P16(x5303)+E(f15(x5301,x5302,x5303),f15(x5302,x5301,x5303)) % 1.85/1.81 [532]~P54(x5323)+E(f11(x5321,x5322,x5323),f11(x5322,x5321,x5323)) % 1.85/1.81 [533]~P22(x5333)+E(f11(x5331,x5332,x5333),f11(x5332,x5331,x5333)) % 1.85/1.81 [534]~P38(x5343)+E(f27(x5341,x5342,x5343),f27(x5342,x5341,x5343)) % 1.85/1.81 [535]~P15(x5353)+E(f16(x5351,x5352,x5353),f16(x5352,x5351,x5353)) % 1.85/1.81 [536]~P16(x5363)+E(f16(x5361,x5362,x5363),f16(x5362,x5361,x5363)) % 1.85/1.81 [639]~P2(x6393)+P8(x6391,f23(x6392,x6391,x6393),x6393) % 1.85/1.81 [640]~P2(x6403)+P8(x6401,f23(x6401,x6402,x6403),x6403) % 1.85/1.81 [641]~P12(x6413)+P8(x6411,f15(x6412,x6411,x6413),x6413) % 1.85/1.81 [642]~P16(x6423)+P8(x6421,f15(x6422,x6421,x6423),x6423) % 1.85/1.81 [643]~P12(x6433)+P8(x6431,f15(x6431,x6432,x6433),x6433) % 1.85/1.81 [644]~P16(x6443)+P8(x6441,f15(x6441,x6442,x6443),x6443) % 1.85/1.81 [645]~P54(x6453)+P9(x6451,f10(x6452,x6451,x6453),x6453) % 1.85/1.81 [646]~P54(x6463)+P9(x6461,f10(x6461,x6462,x6463),x6463) % 1.85/1.81 [647]~P60(x6473)+P9(x6471,f10(x6471,x6472,x6473),x6473) % 1.85/1.81 [648]~P2(x6483)+P8(f24(x6481,x6482,x6483),x6482,x6483) % 1.85/1.81 [649]~P2(x6493)+P8(f24(x6491,x6492,x6493),x6491,x6493) % 1.85/1.81 [650]~P15(x6503)+P8(f16(x6501,x6502,x6503),x6502,x6503) % 1.85/1.81 [651]~P16(x6513)+P8(f16(x6511,x6512,x6513),x6512,x6513) % 1.85/1.81 [652]~P15(x6523)+P8(f16(x6521,x6522,x6523),x6521,x6523) % 1.85/1.81 [653]~P16(x6533)+P8(f16(x6531,x6532,x6533),x6531,x6533) % 1.85/1.81 [661]~P38(x6613)+P8(f2(a1),f27(x6611,x6612,x6613),a1) % 1.85/1.81 [867]~P38(x8671)+~P6(f27(x8672,x8673,x8671),f2(a1),a1) % 1.85/1.81 [1027]~P8(x10272,x10273,a1)+P8(f11(x10271,x10272,a1),f11(x10271,x10273,a1),a1) % 1.85/1.81 [553]~P52(x5532)+E(f28(f2(a1),x5531,x5532),f28(f2(a1),x5533,x5532)) % 1.85/1.81 [556]~P52(x5562)+E(f28(x5561,f2(x5562),x5562),f28(x5563,f2(x5562),x5562)) % 1.85/1.81 [568]~P4(x5683)+E(f11(x5681,f9(x5682,x5683),x5683),f8(x5681,x5682,x5683)) % 1.85/1.81 [569]~P17(x5693)+E(f11(x5691,f9(x5692,x5693),x5693),f8(x5691,x5692,x5693)) % 1.85/1.81 [571]~P19(x5713)+E(f11(x5711,f9(x5712,x5713),x5713),f8(x5711,x5712,x5713)) % 1.85/1.81 [572]~P14(x5723)+E(f16(x5721,f9(x5722,x5723),x5723),f8(x5721,x5722,x5723)) % 1.85/1.81 [573]~P50(x5733)+E(f10(x5731,f4(x5732,x5733),x5733),f7(x5731,x5732,x5733)) % 1.85/1.81 [574]~P42(x5742)+E(f10(f25(x5741,x5742),x5743,x5742),f28(x5741,x5743,x5742)) % 1.85/1.81 [575]~P17(x5753)+E(f8(x5751,f9(x5752,x5753),x5753),f11(x5751,x5752,x5753)) % 1.85/1.81 [635]~P75(x6352)+E(f10(f9(x6351,x6352),x6353,x6352),f10(x6351,f9(x6353,x6352),x6352)) % 1.85/1.81 [636]~P75(x6362)+E(f10(f9(x6361,x6362),f9(x6363,x6362),x6362),f10(x6361,x6363,x6362)) % 1.85/1.81 [654]~P2(x6543)+E(f23(x6541,f24(x6541,x6542,x6543),x6543),x6541) % 1.85/1.81 [655]~P2(x6553)+E(f24(x6551,f23(x6551,x6552,x6553),x6553),x6551) % 1.85/1.81 [656]~P16(x6563)+E(f15(x6561,f16(x6561,x6562,x6563),x6563),x6561) % 1.85/1.81 [657]~P16(x6573)+E(f16(x6571,f15(x6571,x6572,x6573),x6573),x6571) % 1.85/1.81 [658]~P17(x6583)+E(f8(f11(x6581,x6582,x6583),x6582,x6583),x6581) % 1.85/1.81 [659]~P17(x6593)+E(f11(f8(x6591,x6592,x6593),x6592,x6593),x6591) % 1.85/1.81 [663]~P5(x6633)+E(f6(f10(x6631,x6632,x6633),x6632,x6633),f2(x6633)) % 1.90/1.81 [664]~P5(x6643)+E(f6(f10(x6641,x6642,x6643),x6641,x6643),f2(x6643)) % 1.90/1.81 [699]~P41(x6993)+E(f26(f8(x6991,x6992,x6993),x6993),f27(x6991,x6992,x6993)) % 1.90/1.81 [700]~P19(x7003)+E(f9(f8(x7001,x7002,x7003),x7003),f8(x7002,x7001,x7003)) % 1.90/1.81 [730]~P19(x7302)+E(f11(f9(x7301,x7302),f11(x7303,x7301,x7302),x7302),x7303) % 1.90/1.81 [731]~P17(x7312)+E(f11(f9(x7311,x7312),f11(x7311,x7313,x7312),x7312),x7313) % 1.90/1.81 [751]~P52(x7513)+E(f28(f9(x7511,a1),x7512,x7513),f9(f28(x7511,x7512,x7513),x7513)) % 1.90/1.81 [752]~P53(x7523)+E(f28(f9(x7521,a1),x7522,x7523),f9(f28(x7521,x7522,x7523),x7523)) % 1.90/1.81 [753]~P75(x7533)+E(f10(x7531,f9(x7532,x7533),x7533),f9(f10(x7531,x7532,x7533),x7533)) % 1.90/1.81 [754]~P50(x7542)+E(f7(f9(x7541,x7542),x7543,x7542),f9(f7(x7541,x7543,x7542),x7542)) % 1.90/1.81 [755]~P75(x7552)+E(f10(f9(x7551,x7552),x7553,x7552),f9(f10(x7551,x7553,x7552),x7552)) % 1.90/1.81 [757]~P45(x7573)+E(f10(x7571,f9(x7572,x7573),x7573),f9(f10(x7571,x7572,x7573),x7573)) % 1.90/1.81 [758]~P52(x7583)+E(f28(x7581,f9(x7582,x7583),x7583),f9(f28(x7581,x7582,x7583),x7583)) % 1.90/1.81 [759]~P53(x7593)+E(f28(x7591,f9(x7592,x7593),x7593),f9(f28(x7591,x7592,x7593),x7593)) % 1.90/1.81 [760]~P1(x7602)+E(f7(f9(x7601,x7602),x7603,x7602),f9(f7(x7601,x7603,x7602),x7602)) % 1.90/1.81 [762]~P45(x7622)+E(f10(f9(x7621,x7622),x7623,x7622),f9(f10(x7621,x7623,x7622),x7622)) % 1.90/1.81 [787]~P21(x7873)+E(f10(x7871,f10(x7871,x7872,x7873),x7873),f10(x7871,x7872,x7873)) % 1.90/1.81 [788]~P2(x7883)+E(f23(x7881,f23(x7881,x7882,x7883),x7883),f23(x7881,x7882,x7883)) % 1.90/1.81 [789]~P2(x7893)+E(f24(x7891,f24(x7891,x7892,x7893),x7893),f24(x7891,x7892,x7893)) % 1.90/1.81 [790]~P12(x7903)+E(f15(x7901,f15(x7901,x7902,x7903),x7903),f15(x7901,x7902,x7903)) % 1.90/1.81 [791]~P16(x7913)+E(f15(x7911,f15(x7911,x7912,x7913),x7913),f15(x7911,x7912,x7913)) % 1.90/1.81 [792]~P15(x7923)+E(f16(x7921,f16(x7921,x7922,x7923),x7923),f16(x7921,x7922,x7923)) % 1.90/1.81 [793]~P16(x7933)+E(f16(x7931,f16(x7931,x7932,x7933),x7933),f16(x7931,x7932,x7933)) % 1.90/1.81 [794]~P5(x7943)+E(f6(f11(x7941,x7942,x7943),x7942,x7943),f6(x7941,x7942,x7943)) % 1.90/1.81 [795]~P5(x7953)+E(f6(f11(x7951,x7952,x7953),x7951,x7953),f6(x7952,x7951,x7953)) % 1.90/1.81 [796]~P5(x7963)+E(f6(f6(x7961,x7962,x7963),x7962,x7963),f6(x7961,x7962,x7963)) % 1.90/1.81 [799]~P42(x7992)+E(f8(f25(x7991,x7992),f25(x7993,x7992),x7992),f25(f8(x7991,x7993,a1),x7992)) % 1.90/1.81 [800]~P42(x8002)+E(f10(f25(x8001,x8002),f25(x8003,x8002),x8002),f25(f10(x8001,x8003,a1),x8002)) % 1.90/1.81 [801]~P42(x8012)+E(f11(f25(x8011,x8012),f25(x8013,x8012),x8012),f25(f11(x8011,x8013,a1),x8012)) % 1.90/1.81 [804]~P47(x8042)+E(f10(f26(x8041,x8042),f26(x8043,x8042),a1),f26(f10(x8041,x8043,x8042),x8042)) % 1.90/1.81 [805]~P3(x8052)+E(f16(f9(x8051,x8052),f9(x8053,x8052),x8052),f9(f15(x8051,x8053,x8052),x8052)) % 1.90/1.81 [806]~P14(x8062)+E(f16(f9(x8061,x8062),f9(x8063,x8062),x8062),f9(f15(x8061,x8063,x8062),x8062)) % 1.90/1.81 [807]~P17(x8072)+E(f11(f9(x8071,x8072),f9(x8073,x8072),x8072),f9(f11(x8073,x8071,x8072),x8072)) % 1.90/1.81 [808]~P19(x8082)+E(f11(f9(x8081,x8082),f9(x8083,x8082),x8082),f9(f11(x8081,x8083,x8082),x8082)) % 1.90/1.81 [809]~P3(x8092)+E(f15(f9(x8091,x8092),f9(x8093,x8092),x8092),f9(f16(x8091,x8093,x8092),x8092)) % 1.90/1.81 [810]~P14(x8102)+E(f15(f9(x8101,x8102),f9(x8103,x8102),x8102),f9(f16(x8101,x8103,x8102),x8102)) % 1.90/1.81 [811]~P70(x8112)+E(f10(f5(x8111,x8112),f5(x8113,x8112),x8112),f5(f10(x8111,x8113,x8112),x8112)) % 1.90/1.81 [812]~P19(x8122)+E(f8(f9(x8121,x8122),f9(x8123,x8122),x8122),f9(f8(x8121,x8123,x8122),x8122)) % 1.90/1.81 [834]~P26(x8343)+E(f5(f8(x8341,x8342,x8343),x8343),f5(f8(x8342,x8341,x8343),x8343)) % 1.90/1.81 [835]~P53(x8353)+E(f26(f8(x8351,x8352,x8353),x8353),f26(f8(x8352,x8351,x8353),x8353)) % 1.90/1.81 [905]~P63(x9052)+P9(f10(x9051,f2(x9052),x9052),f10(x9053,f2(x9052),x9052),x9052) % 1.90/1.81 [906]~P63(x9061)+P9(f10(f2(x9061),x9062,x9061),f10(f2(x9061),x9063,x9061),x9061) % 1.90/1.81 [958]~P3(x9583)+E(f11(f15(x9581,x9582,x9583),f16(x9581,x9582,x9583),x9583),f11(x9581,x9582,x9583)) % 1.90/1.81 [1240]~P53(x12403)+P8(f26(f8(x12401,x12402,x12403),x12403),f11(f26(x12401,x12403),f26(x12402,x12403),a1),a1) % 1.90/1.81 [1241]~P45(x12413)+P8(f26(f10(x12411,x12412,x12413),x12413),f10(f26(x12411,x12413),f26(x12412,x12413),a1),a1) % 1.90/1.81 [1242]~P53(x12423)+P8(f26(f11(x12421,x12422,x12423),x12423),f11(f26(x12421,x12423),f26(x12422,x12423),a1),a1) % 1.90/1.81 [1243]~P53(x12432)+P8(f8(f26(x12431,x12432),f26(x12433,x12432),a1),f26(f8(x12431,x12433,x12432),x12432),a1) % 1.90/1.81 [1244]~P53(x12442)+P8(f8(f26(x12441,x12442),f26(x12443,x12442),a1),f26(f11(x12441,x12443,x12442),x12442),a1) % 1.90/1.81 [1246]~P26(x12463)+P8(f5(f8(x12461,x12462,x12463),x12463),f11(f5(x12461,x12463),f5(x12462,x12463),x12463),x12463) % 1.90/1.81 [1247]~P64(x12473)+P8(f5(f10(x12471,x12472,x12473),x12473),f10(f5(x12471,x12473),f5(x12472,x12473),x12473),x12473) % 1.90/1.81 [1248]~P26(x12483)+P8(f5(f11(x12481,x12482,x12483),x12483),f11(f5(x12481,x12483),f5(x12482,x12483),x12483),x12483) % 1.90/1.81 [1249]~P26(x12492)+P8(f8(f5(x12491,x12492),f5(x12493,x12492),x12492),f5(f8(x12491,x12493,x12492),x12492),x12492) % 1.90/1.81 [1322]~P69(x13221)+P8(f2(x13221),f11(f10(x13222,x13222,x13221),f10(x13223,x13223,x13221),x13221),x13221) % 1.90/1.81 [1378]~P69(x13781)+~P6(f11(f10(x13782,x13782,x13781),f10(x13783,x13783,x13781),x13781),f2(x13781),x13781) % 1.90/1.81 [786]~P17(x7862)+E(f11(x7861,f11(f9(x7861,x7862),x7863,x7862),x7862),x7863) % 1.90/1.81 [888]~P3(x8882)+E(f9(f16(f9(x8881,x8882),f9(x8883,x8882),x8882),x8882),f15(x8881,x8883,x8882)) % 1.90/1.81 [889]~P3(x8892)+E(f9(f15(f9(x8891,x8892),f9(x8893,x8892),x8892),x8892),f16(x8891,x8893,x8892)) % 1.90/1.81 [1003]~P26(x10032)+E(f5(f11(f5(x10031,x10032),f5(x10033,x10032),x10032),x10032),f11(f5(x10031,x10032),f5(x10033,x10032),x10032)) % 1.90/1.81 [1023]~P54(x10233)+E(f11(x10231,f10(x10232,x10231,x10233),x10233),f10(f11(x10232,f3(x10233),x10233),x10231,x10233)) % 1.90/1.81 [1024]~P54(x10243)+E(f11(f10(x10241,x10242,x10243),x10242,x10243),f10(f11(x10241,f3(x10243),x10243),x10242,x10243)) % 1.90/1.81 [1102]~P10(x11023)+E(f6(f9(f6(x11021,x11022,x11023),x11023),x11022,x11023),f6(f9(x11021,x11023),x11022,x11023)) % 1.90/1.81 [1354]~P26(x13542)+P8(f5(f8(f5(x13541,x13542),f5(x13543,x13542),x13542),x13542),f5(f8(x13541,x13543,x13542),x13542),x13542) % 1.90/1.81 [952]~P52(x9524)+E(f28(x9521,f28(x9522,x9523,x9524),x9524),f28(f10(x9521,x9522,a1),x9523,x9524)) % 1.90/1.81 [959]~P54(x9594)+E(f10(x9591,f10(x9592,x9593,x9594),x9594),f10(x9592,f10(x9591,x9593,x9594),x9594)) % 1.90/1.81 [960]~P2(x9604)+E(f23(x9601,f23(x9602,x9603,x9604),x9604),f23(x9602,f23(x9601,x9603,x9604),x9604)) % 1.90/1.81 [961]~P2(x9614)+E(f24(x9611,f24(x9612,x9613,x9614),x9614),f24(x9612,f24(x9611,x9613,x9614),x9614)) % 1.90/1.81 [962]~P12(x9624)+E(f15(x9621,f15(x9622,x9623,x9624),x9624),f15(x9622,f15(x9621,x9623,x9624),x9624)) % 1.90/1.81 [963]~P16(x9634)+E(f15(x9631,f15(x9632,x9633,x9634),x9634),f15(x9632,f15(x9631,x9633,x9634),x9634)) % 1.90/1.81 [964]~P54(x9644)+E(f11(x9641,f11(x9642,x9643,x9644),x9644),f11(x9642,f11(x9641,x9643,x9644),x9644)) % 1.90/1.81 [965]~P22(x9654)+E(f11(x9651,f11(x9652,x9653,x9654),x9654),f11(x9652,f11(x9651,x9653,x9654),x9654)) % 1.90/1.81 [966]~P19(x9664)+E(f11(x9661,f11(x9662,x9663,x9664),x9664),f11(x9662,f11(x9661,x9663,x9664),x9664)) % 1.90/1.81 [968]~P45(x9684)+E(f28(x9681,f10(x9682,x9683,x9684),x9684),f10(x9682,f28(x9681,x9683,x9684),x9684)) % 1.90/1.81 [969]~P43(x9694)+E(f28(x9691,f10(x9692,x9693,x9694),x9694),f10(x9692,f28(x9691,x9693,x9694),x9694)) % 1.90/1.81 [970]~P52(x9704)+E(f28(x9701,f28(x9702,x9703,x9704),x9704),f28(x9702,f28(x9701,x9703,x9704),x9704)) % 1.90/1.81 [972]~P53(x9724)+E(f28(x9721,f28(x9722,x9723,x9724),x9724),f28(x9722,f28(x9721,x9723,x9724),x9724)) % 1.90/1.81 [973]~P15(x9734)+E(f16(x9731,f16(x9732,x9733,x9734),x9734),f16(x9732,f16(x9731,x9733,x9734),x9734)) % 1.90/1.81 [974]~P16(x9744)+E(f16(x9741,f16(x9742,x9743,x9744),x9744),f16(x9742,f16(x9741,x9743,x9744),x9744)) % 1.90/1.81 [979]~P1(x9794)+E(f28(x9791,f7(x9792,x9793,x9794),x9794),f7(f28(x9791,x9792,x9794),x9793,x9794)) % 1.90/1.81 [980]~P54(x9803)+E(f10(f10(x9801,x9802,x9803),x9804,x9803),f10(x9801,f10(x9802,x9804,x9803),x9803)) % 1.90/1.81 [981]~P18(x9813)+E(f10(f10(x9811,x9812,x9813),x9814,x9813),f10(x9811,f10(x9812,x9814,x9813),x9813)) % 1.90/1.81 [983]~P45(x9834)+E(f28(x9831,f10(x9832,x9833,x9834),x9834),f10(f28(x9831,x9832,x9834),x9833,x9834)) % 1.90/1.81 [984]~P43(x9844)+E(f28(x9841,f10(x9842,x9843,x9844),x9844),f10(f28(x9841,x9842,x9844),x9843,x9844)) % 1.90/1.81 [985]~P2(x9853)+E(f23(f23(x9851,x9852,x9853),x9854,x9853),f23(x9851,f23(x9852,x9854,x9853),x9853)) % 1.90/1.81 [986]~P2(x9863)+E(f24(f24(x9861,x9862,x9863),x9864,x9863),f24(x9861,f24(x9862,x9864,x9863),x9863)) % 1.90/1.81 [987]~P12(x9873)+E(f15(f15(x9871,x9872,x9873),x9874,x9873),f15(x9871,f15(x9872,x9874,x9873),x9873)) % 1.90/1.81 [988]~P16(x9883)+E(f15(f15(x9881,x9882,x9883),x9884,x9883),f15(x9881,f15(x9882,x9884,x9883),x9883)) % 1.90/1.81 [989]~P54(x9893)+E(f11(f11(x9891,x9892,x9893),x9894,x9893),f11(x9891,f11(x9892,x9894,x9893),x9893)) % 1.90/1.81 [990]~P22(x9903)+E(f11(f11(x9901,x9902,x9903),x9904,x9903),f11(x9901,f11(x9902,x9904,x9903),x9903)) % 1.90/1.81 [991]~P20(x9913)+E(f11(f11(x9911,x9912,x9913),x9914,x9913),f11(x9911,f11(x9912,x9914,x9913),x9913)) % 1.90/1.81 [992]~P15(x9923)+E(f16(f16(x9921,x9922,x9923),x9924,x9923),f16(x9921,f16(x9922,x9924,x9923),x9923)) % 1.90/1.81 [993]~P16(x9933)+E(f16(f16(x9931,x9932,x9933),x9934,x9933),f16(x9931,f16(x9932,x9934,x9933),x9933)) % 1.90/1.81 [994]~P54(x9943)+E(f10(f10(x9941,x9942,x9943),x9944,x9943),f10(f10(x9941,x9944,x9943),x9942,x9943)) % 1.90/1.81 [995]~P54(x9953)+E(f11(f11(x9951,x9952,x9953),x9954,x9953),f11(f11(x9951,x9954,x9953),x9952,x9953)) % 1.90/1.81 [1148]~P52(x11483)+E(f8(f28(x11481,x11482,x11483),f28(x11484,x11482,x11483),x11483),f28(f8(x11481,x11484,a1),x11482,x11483)) % 1.90/1.81 [1149]~P53(x11493)+E(f8(f28(x11491,x11492,x11493),f28(x11494,x11492,x11493),x11493),f28(f8(x11491,x11494,a1),x11492,x11493)) % 1.90/1.81 [1151]~P52(x11513)+E(f11(f28(x11511,x11512,x11513),f28(x11514,x11512,x11513),x11513),f28(f11(x11511,x11514,a1),x11512,x11513)) % 1.90/1.81 [1152]~P53(x11523)+E(f11(f28(x11521,x11522,x11523),f28(x11524,x11522,x11523),x11523),f28(f11(x11521,x11524,a1),x11522,x11523)) % 1.90/1.81 [1156]~P45(x11563)+E(f8(f10(x11561,x11562,x11563),f10(x11561,x11564,x11563),x11563),f10(x11561,f8(x11562,x11564,x11563),x11563)) % 1.90/1.81 [1157]~P54(x11573)+E(f11(f10(x11571,x11572,x11573),f10(x11571,x11574,x11573),x11573),f10(x11571,f11(x11572,x11574,x11573),x11573)) % 1.90/1.81 [1159]~P45(x11593)+E(f11(f10(x11591,x11592,x11593),f10(x11591,x11594,x11593),x11593),f10(x11591,f11(x11592,x11594,x11593),x11593)) % 1.90/1.81 [1160]~P2(x11603)+E(f24(f23(x11601,x11602,x11603),f23(x11601,x11604,x11603),x11603),f23(x11601,f24(x11602,x11604,x11603),x11603)) % 1.90/1.81 [1161]~P2(x11613)+E(f23(f24(x11611,x11612,x11613),f24(x11611,x11614,x11613),x11613),f24(x11611,f23(x11612,x11614,x11613),x11613)) % 1.90/1.81 [1162]~P13(x11623)+E(f16(f15(x11621,x11622,x11623),f15(x11621,x11624,x11623),x11623),f15(x11621,f16(x11622,x11624,x11623),x11623)) % 1.90/1.81 [1163]~P3(x11633)+E(f15(f11(x11631,x11632,x11633),f11(x11631,x11634,x11633),x11633),f11(x11631,f15(x11632,x11634,x11633),x11633)) % 1.90/1.81 [1164]~P30(x11643)+E(f15(f11(x11641,x11642,x11643),f11(x11641,x11644,x11643),x11643),f11(x11641,f15(x11642,x11644,x11643),x11643)) % 1.90/1.81 [1165]~P3(x11653)+E(f16(f11(x11651,x11652,x11653),f11(x11651,x11654,x11653),x11653),f11(x11651,f16(x11652,x11654,x11653),x11653)) % 1.90/1.81 [1166]~P31(x11663)+E(f16(f11(x11661,x11662,x11663),f11(x11661,x11664,x11663),x11663),f11(x11661,f16(x11662,x11664,x11663),x11663)) % 1.90/1.81 [1167]~P52(x11673)+E(f8(f28(x11671,x11672,x11673),f28(x11671,x11674,x11673),x11673),f28(x11671,f8(x11672,x11674,x11673),x11673)) % 1.90/1.81 [1168]~P53(x11683)+E(f8(f28(x11681,x11682,x11683),f28(x11681,x11684,x11683),x11683),f28(x11681,f8(x11682,x11684,x11683),x11683)) % 1.90/1.81 [1169]~P52(x11693)+E(f11(f28(x11691,x11692,x11693),f28(x11691,x11694,x11693),x11693),f28(x11691,f11(x11692,x11694,x11693),x11693)) % 1.90/1.81 [1170]~P53(x11703)+E(f11(f28(x11701,x11702,x11703),f28(x11701,x11704,x11703),x11703),f28(x11701,f11(x11702,x11704,x11703),x11703)) % 1.90/1.81 [1171]~P13(x11713)+E(f15(f16(x11711,x11712,x11713),f16(x11711,x11714,x11713),x11713),f16(x11711,f15(x11712,x11714,x11713),x11713)) % 1.90/1.81 [1172]~P27(x11723)+E(f23(f8(x11721,x11722,x11723),f8(x11724,x11722,x11723),x11723),f8(f23(x11721,x11724,x11723),x11722,x11723)) % 1.90/1.81 [1173]~P27(x11733)+E(f24(f8(x11731,x11732,x11733),f8(x11734,x11732,x11733),x11733),f8(f24(x11731,x11734,x11733),x11732,x11733)) % 1.90/1.81 [1174]~P1(x11743)+E(f8(f7(x11741,x11742,x11743),f7(x11744,x11742,x11743),x11743),f7(f8(x11741,x11744,x11743),x11742,x11743)) % 1.90/1.81 [1175]~P50(x11753)+E(f8(f7(x11751,x11752,x11753),f7(x11754,x11752,x11753),x11753),f7(f8(x11751,x11754,x11753),x11752,x11753)) % 1.90/1.81 [1176]~P1(x11763)+E(f11(f7(x11761,x11762,x11763),f7(x11764,x11762,x11763),x11763),f7(f11(x11761,x11764,x11763),x11762,x11763)) % 1.90/1.81 [1177]~P50(x11773)+E(f11(f7(x11771,x11772,x11773),f7(x11774,x11772,x11773),x11773),f7(f11(x11771,x11774,x11773),x11772,x11773)) % 1.90/1.81 [1179]~P45(x11793)+E(f8(f10(x11791,x11792,x11793),f10(x11794,x11792,x11793),x11793),f10(f8(x11791,x11794,x11793),x11792,x11793)) % 1.90/1.81 [1182]~P45(x11823)+E(f11(f10(x11821,x11822,x11823),f10(x11824,x11822,x11823),x11823),f10(f11(x11821,x11824,x11823),x11822,x11823)) % 1.90/1.81 [1183]~P57(x11833)+E(f11(f10(x11831,x11832,x11833),f10(x11834,x11832,x11833),x11833),f10(f11(x11831,x11834,x11833),x11832,x11833)) % 1.90/1.81 [1184]~P2(x11843)+E(f24(f23(x11841,x11842,x11843),f23(x11844,x11842,x11843),x11843),f23(f24(x11841,x11844,x11843),x11842,x11843)) % 1.90/1.81 [1185]~P2(x11853)+E(f23(f24(x11851,x11852,x11853),f24(x11854,x11852,x11853),x11853),f24(f23(x11851,x11854,x11853),x11852,x11853)) % 1.90/1.81 [1186]~P13(x11863)+E(f16(f15(x11861,x11862,x11863),f15(x11864,x11862,x11863),x11863),f15(f16(x11861,x11864,x11863),x11862,x11863)) % 1.90/1.81 [1187]~P34(x11873)+E(f23(f11(x11871,x11872,x11873),f11(x11874,x11872,x11873),x11873),f11(f23(x11871,x11874,x11873),x11872,x11873)) % 1.90/1.81 [1188]~P34(x11883)+E(f24(f11(x11881,x11882,x11883),f11(x11884,x11882,x11883),x11883),f11(f24(x11881,x11884,x11883),x11882,x11883)) % 1.90/1.81 [1189]~P3(x11893)+E(f15(f11(x11891,x11892,x11893),f11(x11894,x11892,x11893),x11893),f11(f15(x11891,x11894,x11893),x11892,x11893)) % 1.90/1.81 [1190]~P30(x11903)+E(f15(f11(x11901,x11902,x11903),f11(x11904,x11902,x11903),x11903),f11(f15(x11901,x11904,x11903),x11902,x11903)) % 1.90/1.81 [1191]~P3(x11913)+E(f16(f11(x11911,x11912,x11913),f11(x11914,x11912,x11913),x11913),f11(f16(x11911,x11914,x11913),x11912,x11913)) % 1.90/1.81 [1192]~P31(x11923)+E(f16(f11(x11921,x11922,x11923),f11(x11924,x11922,x11923),x11923),f11(f16(x11921,x11924,x11923),x11922,x11923)) % 1.90/1.81 [1193]~P13(x11933)+E(f15(f16(x11931,x11932,x11933),f16(x11934,x11932,x11933),x11933),f16(f15(x11931,x11934,x11933),x11932,x11933)) % 1.90/1.81 [1194]~P5(x11943)+E(f6(f10(x11941,x11942,x11943),f10(x11941,x11944,x11943),x11943),f10(x11941,f6(x11942,x11944,x11943),x11943)) % 1.90/1.81 [1195]~P54(x11953)+E(f11(f10(x11951,x11952,x11953),f10(x11954,x11952,x11953),x11953),f10(f11(x11951,x11954,x11953),x11952,x11953)) % 1.90/1.81 [1196]~P5(x11963)+E(f6(f10(x11961,x11962,x11963),f10(x11964,x11962,x11963),x11963),f10(f6(x11961,x11964,x11963),x11962,x11963)) % 1.90/1.81 [1344]~P38(x13443)+P8(f27(x13441,x13442,x13443),f11(f27(x13444,x13441,x13443),f27(x13444,x13442,x13443),a1),a1) % 1.90/1.81 [1345]~P38(x13453)+P8(f27(x13451,x13452,x13453),f11(f27(x13451,x13454,x13453),f27(x13454,x13452,x13453),a1),a1) % 1.90/1.81 [1346]~P38(x13463)+P8(f27(x13461,x13462,x13463),f11(f27(x13461,x13464,x13463),f27(x13462,x13464,x13463),a1),a1) % 1.90/1.81 [1372]~P2(x13724)+P8(f23(x13721,f24(x13722,x13723,x13724),x13724),f24(f23(x13721,x13722,x13724),f23(x13721,x13723,x13724),x13724),x13724) % 1.90/1.81 [1373]~P16(x13734)+P8(f15(x13731,f16(x13732,x13733,x13734),x13734),f16(f15(x13731,x13732,x13734),f15(x13731,x13733,x13734),x13734),x13734) % 1.90/1.81 [1374]~P2(x13743)+P8(f23(f24(x13741,x13742,x13743),f24(x13741,x13744,x13743),x13743),f24(x13741,f23(x13742,x13744,x13743),x13743),x13743) % 1.90/1.81 [1375]~P16(x13753)+P8(f15(f16(x13751,x13752,x13753),f16(x13751,x13754,x13753),x13753),f16(x13751,f15(x13752,x13754,x13753),x13753),x13753) % 1.90/1.81 [1153]~P5(x11534)+E(f6(f11(x11531,f10(x11532,x11533,x11534),x11534),x11533,x11534),f6(x11531,x11533,x11534)) % 1.90/1.81 [1154]~P5(x11544)+E(f6(f11(x11541,f10(x11542,x11543,x11544),x11544),x11542,x11544),f6(x11541,x11542,x11544)) % 1.90/1.81 [1265]~P10(x12654)+E(f6(f8(x12651,f6(x12652,x12653,x12654),x12654),x12653,x12654),f6(f8(x12651,x12652,x12654),x12653,x12654)) % 1.90/1.81 [1266]~P5(x12664)+E(f6(f10(x12661,f6(x12662,x12663,x12664),x12664),x12663,x12664),f6(f10(x12661,x12662,x12664),x12663,x12664)) % 1.90/1.81 [1268]~P10(x12683)+E(f6(f8(f6(x12681,x12682,x12683),x12684,x12683),x12682,x12683),f6(f8(x12681,x12684,x12683),x12682,x12683)) % 1.90/1.81 [1271]~P5(x12714)+E(f6(f11(x12711,f6(x12712,x12713,x12714),x12714),x12713,x12714),f6(f11(x12711,x12712,x12714),x12713,x12714)) % 1.90/1.81 [1272]~P5(x12723)+E(f6(f10(f6(x12721,x12722,x12723),x12724,x12723),x12722,x12723),f6(f10(x12721,x12724,x12723),x12722,x12723)) % 1.90/1.81 [1273]~P5(x12733)+E(f6(f11(f6(x12731,x12732,x12733),x12734,x12733),x12732,x12733),f6(f11(x12731,x12734,x12733),x12732,x12733)) % 1.90/1.81 [1355]~P10(x13553)+E(f6(f8(f6(x13551,x13552,x13553),f6(x13554,x13552,x13553),x13553),x13552,x13553),f6(f8(x13551,x13554,x13553),x13552,x13553)) % 1.90/1.81 [1356]~P5(x13563)+E(f6(f10(f6(x13561,x13562,x13563),f6(x13564,x13562,x13563),x13563),x13562,x13563),f6(f10(x13561,x13564,x13563),x13562,x13563)) % 1.90/1.81 [1357]~P5(x13573)+E(f6(f11(f6(x13571,x13572,x13573),f6(x13574,x13572,x13573),x13573),x13572,x13573),f6(f11(x13571,x13574,x13573),x13572,x13573)) % 1.90/1.81 [1274]~P54(x12743)+E(f10(f10(x12741,x12742,x12743),f10(x12744,x12745,x12743),x12743),f10(f10(x12741,x12744,x12743),f10(x12742,x12745,x12743),x12743)) % 1.90/1.81 [1275]~P19(x12753)+E(f8(f11(x12751,x12752,x12753),f11(x12754,x12755,x12753),x12753),f11(f8(x12751,x12754,x12753),f8(x12752,x12755,x12753),x12753)) % 1.90/1.81 [1276]~P54(x12763)+E(f11(f11(x12761,x12762,x12763),f11(x12764,x12765,x12763),x12763),f11(f11(x12761,x12764,x12763),f11(x12762,x12765,x12763),x12763)) % 1.90/1.81 [1369]~P78(x13693)+E(f11(f10(x13691,x13692,x13693),f11(f10(x13694,x13692,x13693),x13695,x13693),x13693),f11(f10(f11(x13691,x13694,x13693),x13692,x13693),x13695,x13693)) % 1.90/1.81 [1399]~P53(x13993)+P8(f26(f8(f11(x13991,x13992,x13993),f11(x13994,x13995,x13993),x13993),x13993),f11(f26(f8(x13991,x13994,x13993),x13993),f26(f8(x13992,x13995,x13993),x13993),a1),a1) % 1.90/1.81 [1400]~P26(x14003)+P8(f5(f8(f11(x14001,x14002,x14003),f11(x14004,x14005,x14003),x14003),x14003),f11(f5(f8(x14001,x14004,x14003),x14003),f5(f8(x14002,x14005,x14003),x14003),x14003),x14003) % 1.90/1.81 [1401]~P53(x14015)+E(f11(f11(f28(f8(x14011,x14012,a1),f8(x14013,x14014,x14015),x14015),f28(f8(x14011,x14012,a1),x14014,x14015),x14015),f28(x14012,f8(x14013,x14014,x14015),x14015),x14015),f8(f28(x14011,x14013,x14015),f28(x14012,x14014,x14015),x14015)) % 1.90/1.81 [1402]~P45(x14023)+E(f11(f11(f10(f8(x14021,x14022,x14023),f8(x14024,x14025,x14023),x14023),f10(f8(x14021,x14022,x14023),x14025,x14023),x14023),f10(x14022,f8(x14024,x14025,x14023),x14023),x14023),f8(f10(x14021,x14024,x14023),f10(x14022,x14025,x14023),x14023)) % 1.90/1.81 [1385]~P75(x13853)+E(f11(f10(x13851,x13852,x13853),f11(f10(f8(x13854,x13851,x13853),x13852,x13853),x13855,x13853),x13853),f11(f10(x13854,x13852,x13853),x13855,x13853)) % 1.90/1.81 [1398]~P46(x13984)+E(f11(f10(x13981,f7(f8(x13982,x13983,x13984),x13985,x13984),x13984),f10(f7(f8(x13981,x13986,x13984),x13985,x13984),x13983,x13984),x13984),f7(f8(f10(x13981,x13982,x13984),f10(x13986,x13983,x13984),x13984),x13985,x13984)) % 1.90/1.81 [669]~E(f30(a33),f2(a1))+~P6(a33,a12,a1)+~P6(f2(a1),a33,a1) % 1.90/1.81 [802]~P6(x8021,a12,a1)+~P6(f2(a1),x8021,a1)+P6(f2(a1),f30(x8021),a1) % 1.90/1.81 [803]~P8(x8031,a12,a1)+~P8(f2(a1),x8031,a1)+P8(f2(a1),f30(x8031),a1) % 1.90/1.81 [862]~P6(x8621,f3(a1),a1)+~P6(f2(a1),x8621,a1)+P6(f3(a1),f4(x8621,a1),a1) % 1.90/1.81 [361]~P50(x3611)+~P51(x3611)+E(f4(f3(x3611),x3611),f3(x3611)) % 1.90/1.81 [510]E(x5101,f3(a1))+~E(f10(x5101,x5101,a1),f3(a1))+E(x5101,f9(f3(a1),a1)) % 1.90/1.81 [701]~P36(x7011)+~P8(f2(x7011),f2(x7011),x7011)+E(f11(f2(x7011),f2(x7011),x7011),f2(x7011)) % 1.90/1.81 [565]E(x5651,x5652)+P6(x5651,x5652,a1)+~P8(x5651,x5652,a1) % 1.90/1.81 [660]E(x6601,x6602)+~P8(x6602,x6601,a1)+~P8(x6601,x6602,a1) % 1.90/1.81 [359]~P33(x3592)+~E(f9(x3591,x3592),x3591)+E(x3591,f2(x3592)) % 1.90/1.81 [362]~P53(x3622)+E(x3621,f2(x3622))+~E(f26(x3621,x3622),f2(a1)) % 1.90/1.81 [363]~P42(x3632)+~E(f25(x3631,x3632),f2(x3632))+E(x3631,f2(a1)) % 1.90/1.81 [364]~P59(x3642)+~E(f4(x3641,x3642),f2(x3642))+E(x3641,f2(x3642)) % 1.90/1.81 [365]~P17(x3652)+~E(f9(x3651,x3652),f2(x3652))+E(x3651,f2(x3652)) % 1.90/1.81 [366]~P26(x3662)+~E(f5(x3661,x3662),f2(x3662))+E(x3661,f2(x3662)) % 1.90/1.81 [367]~P17(x3671)+~E(f9(x3672,x3671),f2(x3671))+E(f2(x3671),x3672) % 1.90/1.81 [424]~P50(x4242)+E(f7(x4241,x4241,x4242),f3(x4242))+E(x4241,f2(x4242)) % 1.90/1.81 [442]~P63(x4422)+~P4(x4422)+E(f8(x4421,x4421,x4422),f2(x4422)) % 1.90/1.81 [455]~P56(x4552)+P6(x4551,f2(x4552),x4552)+E(f5(x4551,x4552),x4551) % 1.90/1.81 [474]~P3(x4742)+P8(x4741,f2(x4742),x4742)+~E(f22(x4741,x4742),x4741) % 1.90/1.81 [475]~P3(x4751)+P8(f2(x4751),x4752,x4751)+~E(f21(x4752,x4751),x4752) % 1.90/1.81 [487]~P53(x4872)+E(x4871,f2(x4872))+P6(f2(a1),f26(x4871,x4872),a1) % 1.90/1.81 [489]~P3(x4892)+P8(x4891,f2(x4892),x4892)+~E(f21(x4891,x4892),f2(x4892)) % 1.90/1.81 [490]~P3(x4901)+P8(f2(x4901),x4902,x4901)+~E(f22(x4902,x4901),f2(x4901)) % 1.90/1.81 [495]~P26(x4952)+P6(f2(x4952),f5(x4951,x4952),x4952)+E(x4951,f2(x4952)) % 1.90/1.81 [503]~P3(x5032)+~E(f11(x5031,x5031,x5032),f2(x5032))+E(x5031,f2(x5032)) % 1.90/1.81 [511]~P54(x5112)+~P9(f2(x5112),x5111,x5112)+E(x5111,f2(x5112)) % 1.90/1.81 [542]~P3(x5422)+~P8(x5421,f2(x5422),x5422)+E(f22(x5421,x5422),x5421) % 1.90/1.81 [543]~P3(x5432)+~P8(f2(x5432),x5431,x5432)+E(f21(x5431,x5432),x5431) % 1.90/1.81 [544]~P26(x5442)+~P6(f2(x5442),x5441,x5442)+E(f5(x5441,x5442),x5441) % 1.90/1.81 [545]~P26(x5452)+~P8(f2(x5452),x5451,x5452)+E(f5(x5451,x5452),x5451) % 1.90/1.81 [551]~P3(x5512)+~P8(x5511,f2(x5512),x5512)+E(f21(x5511,x5512),f2(x5512)) % 1.90/1.81 [552]~P3(x5522)+~P8(f2(x5522),x5521,x5522)+E(f22(x5521,x5522),f2(x5522)) % 1.90/1.81 [557]E(f17(x5571,x5572),f2(a1))+P6(x5572,f2(a1),a1)+P6(f2(a1),x5572,a1) % 1.90/1.81 [558]~P26(x5582)+~P6(x5581,f2(x5582),x5582)+E(f5(x5581,x5582),f9(x5581,x5582)) % 1.90/1.81 [559]~P26(x5592)+~P8(x5591,f2(x5592),x5592)+E(f5(x5591,x5592),f9(x5591,x5592)) % 1.90/1.81 [560]~P56(x5602)+~P6(x5601,f2(x5602),x5602)+E(f5(x5601,x5602),f9(x5601,x5602)) % 1.90/1.81 [567]~P53(x5672)+E(x5671,f2(x5672))+~P8(f26(x5671,x5672),f2(a1),a1) % 1.90/1.81 [590]~P26(x5902)+~P8(f5(x5901,x5902),f2(x5902),x5902)+E(x5901,f2(x5902)) % 1.90/1.81 [702]~P70(x7022)+~P6(x7021,f2(x7022),x7022)+P6(x7021,f9(x7021,x7022),x7022) % 1.90/1.81 [703]~P3(x7032)+~P8(x7031,f2(x7032),x7032)+P8(x7031,f9(x7031,x7032),x7032) % 1.90/1.81 [704]~P33(x7042)+~P8(x7041,f2(x7042),x7042)+P8(x7041,f9(x7041,x7042),x7042) % 1.90/1.81 [705]~P3(x7052)+~P8(f2(x7052),x7051,x7052)+P8(f9(x7051,x7052),x7051,x7052) % 1.90/1.81 [706]~P33(x7062)+~P8(f2(x7062),x7061,x7062)+P8(f9(x7061,x7062),x7061,x7062) % 1.90/1.81 [717]~P27(x7171)+~P6(x7172,f2(x7171),x7171)+P6(f2(x7171),f9(x7172,x7171),x7171) % 1.90/1.81 [718]~P27(x7181)+~P8(x7182,f2(x7181),x7181)+P8(f2(x7181),f9(x7182,x7181),x7181) % 1.90/1.81 [719]~P49(x7191)+~P6(f2(x7191),x7192,x7191)+P6(f2(x7191),f4(x7192,x7191),x7191) % 1.90/1.81 [720]~P49(x7202)+~P6(x7201,f2(x7202),x7202)+P6(f4(x7201,x7202),f2(x7202),x7202) % 1.90/1.81 [721]~P27(x7212)+~P6(f2(x7212),x7211,x7212)+P6(f9(x7211,x7212),f2(x7212),x7212) % 1.90/1.81 [722]~P27(x7222)+~P8(f2(x7222),x7221,x7222)+P8(f9(x7221,x7222),f2(x7222),x7222) % 1.90/1.81 [725]~P70(x7252)+~P6(x7251,f9(x7251,x7252),x7252)+P6(x7251,f2(x7252),x7252) % 1.90/1.81 [726]~P3(x7262)+~P8(x7261,f9(x7261,x7262),x7262)+P8(x7261,f2(x7262),x7262) % 1.90/1.81 [727]~P33(x7272)+~P8(x7271,f9(x7271,x7272),x7272)+P8(x7271,f2(x7272),x7272) % 1.90/1.81 [728]~P3(x7281)+~P8(f9(x7282,x7281),x7282,x7281)+P8(f2(x7281),x7282,x7281) % 1.90/1.81 [729]~P33(x7291)+~P8(f9(x7292,x7291),x7292,x7291)+P8(f2(x7291),x7292,x7291) % 1.90/1.81 [745]~P27(x7452)+~P6(f2(x7452),f9(x7451,x7452),x7452)+P6(x7451,f2(x7452),x7452) % 1.90/1.81 [746]~P27(x7462)+~P8(f2(x7462),f9(x7461,x7462),x7462)+P8(x7461,f2(x7462),x7462) % 1.90/1.81 [747]~P27(x7471)+~P6(f9(x7472,x7471),f2(x7471),x7471)+P6(f2(x7471),x7472,x7471) % 1.90/1.81 [748]~P27(x7481)+~P8(f9(x7482,x7481),f2(x7481),x7481)+P8(f2(x7481),x7482,x7481) % 1.90/1.81 [863]~P8(f2(a1),x8632,a1)+~P8(f3(a1),x8631,a1)+P8(f3(a1),f14(x8631,x8632),a1) % 1.90/1.81 [871]~P3(x8711)+~P6(f2(x8711),x8712,x8711)+P6(f2(x8711),f11(x8712,x8712,x8711),x8711) % 1.90/1.81 [872]~P3(x8721)+~P8(f2(x8721),x8722,x8721)+P8(f2(x8721),f11(x8722,x8722,x8721),x8721) % 1.90/1.81 [873]~P3(x8732)+~P6(x8731,f2(x8732),x8732)+P6(f11(x8731,x8731,x8732),f2(x8732),x8732) % 1.90/1.81 [874]~P70(x8742)+~P6(x8741,f2(x8742),x8742)+P6(f11(x8741,x8741,x8742),f2(x8742),x8742) % 1.90/1.81 [875]~P3(x8752)+~P8(x8751,f2(x8752),x8752)+P8(f11(x8751,x8751,x8752),f2(x8752),x8752) % 1.90/1.81 [996]~P3(x9962)+~P6(f11(x9961,x9961,x9962),f2(x9962),x9962)+P6(x9961,f2(x9962),x9962) % 1.90/1.81 [997]~P70(x9972)+~P6(f11(x9971,x9971,x9972),f2(x9972),x9972)+P6(x9971,f2(x9972),x9972) % 1.90/1.81 [998]~P3(x9982)+~P8(f11(x9981,x9981,x9982),f2(x9982),x9982)+P8(x9981,f2(x9982),x9982) % 1.90/1.81 [999]~P3(x9991)+~P6(f2(x9991),f11(x9992,x9992,x9991),x9991)+P6(f2(x9991),x9992,x9991) % 1.90/1.81 [1000]~P3(x10001)+~P8(f2(x10001),f11(x10002,x10002,x10001),x10001)+P8(f2(x10001),x10002,x10001) % 1.90/1.81 [1002]~P6(f2(a1),x10022,a1)+~P6(f2(a1),x10021,a1)+P6(f2(a1),f10(x10021,x10022,a1),a1) % 1.90/1.81 [376]~P59(x3762)+E(x3761,f2(x3762))+E(f4(f4(x3761,x3762),x3762),x3761) % 1.90/1.81 [380]~P51(x3802)+~P59(x3802)+E(f4(f4(x3801,x3802),x3802),x3801) % 1.90/1.81 [445]~P63(x4452)+~P4(x4452)+E(f11(x4451,f2(x4452),x4452),x4451) % 1.90/1.81 [450]~P50(x4502)+~P51(x4502)+E(f7(x4501,f2(x4502),x4502),f2(x4502)) % 1.90/1.81 [463]~P44(x4632)+E(x4631,f2(a1))+E(f25(f4(x4631,a1),x4632),f4(f25(x4631,x4632),x4632)) % 1.90/1.81 [467]~P47(x4672)+E(x4671,f2(x4672))+E(f26(f4(x4671,x4672),x4672),f4(f26(x4671,x4672),a1)) % 1.90/1.81 [468]~P51(x4682)+~P44(x4682)+E(f25(f4(x4681,a1),x4682),f4(f25(x4681,x4682),x4682)) % 1.90/1.81 [476]~P59(x4762)+E(x4761,f2(x4762))+E(f4(f9(x4761,x4762),x4762),f9(f4(x4761,x4762),x4762)) % 1.90/1.81 [477]~P49(x4772)+E(x4771,f2(x4772))+E(f5(f4(x4771,x4772),x4772),f4(f5(x4771,x4772),x4772)) % 1.90/1.81 [478]~P51(x4782)+~P47(x4782)+E(f26(f4(x4781,x4782),x4782),f4(f26(x4781,x4782),a1)) % 1.90/1.81 [485]~P51(x4852)+~P59(x4852)+E(f4(f9(x4851,x4852),x4852),f9(f4(x4851,x4852),x4852)) % 1.90/1.81 [486]~P49(x4862)+~P51(x4862)+E(f5(f4(x4861,x4862),x4862),f4(f5(x4861,x4862),x4862)) % 1.90/1.81 [491]~P59(x4912)+E(x4911,f2(x4912))+E(f10(x4911,f4(x4911,x4912),x4912),f3(x4912)) % 1.90/1.81 [492]~P50(x4922)+E(x4921,f2(x4922))+E(f10(f4(x4921,x4922),x4921,x4922),f3(x4922)) % 1.90/1.81 [493]~P59(x4932)+E(x4931,f2(x4932))+E(f10(f4(x4931,x4932),x4931,x4932),f3(x4932)) % 1.90/1.81 [577]~P3(x5772)+E(x5771,f2(x5772))+~E(f15(x5771,f9(x5771,x5772),x5772),f2(x5772)) % 1.90/1.81 [578]~P3(x5782)+E(x5781,f2(x5782))+~E(f16(x5781,f9(x5781,x5782),x5782),f2(x5782)) % 1.90/1.81 [724]~P50(x7241)+~P51(x7241)+E(f7(f10(f2(x7241),x7242,x7241),x7242,x7241),f2(x7241)) % 1.90/1.81 [488]~P7(x4881,x4882,x4883)+E(x4881,x4882)+~P11(x4883) % 1.90/1.81 [539]P8(x5392,x5391,x5393)+~P2(x5393)+P6(x5391,x5392,x5393) % 1.90/1.81 [541]P8(x5412,x5411,x5413)+~P2(x5413)+P8(x5411,x5412,x5413) % 1.90/1.81 [580]~P39(x5803)+~P6(x5801,x5802,x5803)+P8(x5801,x5802,x5803) % 1.90/1.81 [581]~P40(x5813)+~P6(x5811,x5812,x5813)+P8(x5811,x5812,x5813) % 1.90/1.81 [678]~P6(x6783,x6782,x6781)+~P2(x6781)+~P6(x6782,x6783,x6781) % 1.90/1.81 [680]~P8(x6803,x6802,x6801)+~P2(x6801)+~P6(x6802,x6803,x6801) % 1.90/1.81 [682]~P6(x6823,x6822,x6821)+~P39(x6821)+~P6(x6822,x6823,x6821) % 1.90/1.81 [684]~P6(x6843,x6842,x6841)+~P40(x6841)+~P6(x6842,x6843,x6841) % 1.90/1.81 [685]~P8(x6853,x6852,x6851)+~P40(x6851)+~P6(x6852,x6853,x6851) % 1.90/1.81 [785]~P8(x7851,x7853,a1)+P8(x7851,x7852,a1)+~P8(x7853,x7852,a1) % 1.90/1.81 [377]~P17(x3773)+E(x3771,x3772)+~E(f9(x3771,x3773),f9(x3772,x3773)) % 1.90/1.81 [378]~P14(x3783)+E(x3781,x3782)+~E(f9(x3781,x3783),f9(x3782,x3783)) % 1.90/1.81 [379]~P42(x3793)+E(x3791,x3792)+~E(f25(x3791,x3793),f25(x3792,x3793)) % 1.90/1.81 [494]~P38(x4943)+E(x4941,x4942)+~E(f27(x4941,x4942,x4943),f2(a1)) % 1.90/1.81 [500]~P17(x5003)+E(x5001,x5002)+~E(f8(x5001,x5002,x5003),f2(x5003)) % 1.90/1.81 [501]~P19(x5013)+E(x5011,x5012)+~E(f8(x5011,x5012,x5013),f2(x5013)) % 1.90/1.81 [505]~P70(x5053)+P9(x5051,x5052,x5053)+~E(f5(x5051,x5053),f5(x5052,x5053)) % 1.90/1.81 [522]~P17(x5223)+~E(f11(x5221,x5222,x5223),f2(x5223))+E(x5221,f9(x5222,x5223)) % 1.90/1.81 [523]~P59(x5232)+~E(f10(x5231,x5233,x5232),f3(x5232))+E(f4(x5231,x5232),x5233) % 1.90/1.81 [524]~P17(x5242)+~E(f11(x5241,x5243,x5242),f2(x5242))+E(f9(x5241,x5242),x5243) % 1.90/1.81 [582]~P2(x5823)+~P8(x5821,x5822,x5823)+E(f23(x5821,x5822,x5823),x5822) % 1.90/1.81 [583]~P2(x5833)+~P8(x5832,x5831,x5833)+E(f23(x5831,x5832,x5833),x5831) % 1.90/1.81 [584]~P2(x5843)+~P8(x5842,x5841,x5843)+E(f24(x5841,x5842,x5843),x5842) % 1.90/1.81 [585]~P2(x5853)+~P8(x5851,x5852,x5853)+E(f24(x5851,x5852,x5853),x5851) % 1.90/1.81 [586]~P12(x5863)+~P8(x5861,x5862,x5863)+E(f15(x5861,x5862,x5863),x5862) % 1.90/1.81 [587]~P12(x5873)+~P8(x5872,x5871,x5873)+E(f15(x5871,x5872,x5873),x5871) % 1.90/1.81 [588]~P15(x5883)+~P8(x5882,x5881,x5883)+E(f16(x5881,x5882,x5883),x5882) % 1.90/1.81 [589]~P15(x5893)+~P8(x5891,x5892,x5893)+E(f16(x5891,x5892,x5893),x5891) % 1.90/1.81 [596]~P2(x5963)+P8(x5961,x5962,x5963)+~E(f23(x5961,x5962,x5963),x5962) % 1.90/1.81 [597]~P2(x5973)+P8(x5971,x5972,x5973)+~E(f24(x5971,x5972,x5973),x5971) % 1.90/1.81 [598]~P12(x5983)+P8(x5981,x5982,x5983)+~E(f15(x5981,x5982,x5983),x5982) % 1.90/1.81 [599]~P15(x5993)+P8(x5991,x5992,x5993)+~E(f16(x5991,x5992,x5993),x5991) % 1.90/1.81 [619]~P5(x6193)+~P9(x6192,x6191,x6193)+E(f6(x6191,x6192,x6193),f2(x6193)) % 1.90/1.81 [620]~P5(x6203)+P9(x6201,x6202,x6203)+~E(f6(x6202,x6201,x6203),f2(x6203)) % 1.90/1.81 [665]E(x6651,x6652)+~E(f10(x6653,x6651,a1),f10(x6653,x6652,a1))+E(x6653,f2(a1)) % 1.90/1.81 [666]E(x6661,x6662)+~E(f10(x6661,x6663,a1),f10(x6662,x6663,a1))+E(x6663,f2(a1)) % 1.90/1.81 [667]~P38(x6673)+E(x6671,x6672)+P6(f2(a1),f27(x6671,x6672,x6673),a1) % 1.90/1.81 [670]~P58(x6703)+~P9(x6701,x6702,x6703)+P9(x6701,f9(x6702,x6703),x6703) % 1.90/1.81 [671]~P70(x6713)+~P9(x6711,x6712,x6713)+P9(x6711,f5(x6712,x6713),x6713) % 1.90/1.81 [672]~P58(x6722)+~P9(x6721,x6723,x6722)+P9(f9(x6721,x6722),x6723,x6722) % 1.90/1.81 [673]~P70(x6732)+~P9(x6731,x6733,x6732)+P9(f5(x6731,x6732),x6733,x6732) % 1.90/1.81 [710]~P70(x7103)+P9(x7101,x7102,x7103)+~P9(x7101,f5(x7102,x7103),x7103) % 1.90/1.81 [711]~P58(x7113)+P9(x7111,x7112,x7113)+~P9(x7111,f9(x7112,x7113),x7113) % 1.90/1.81 [712]~P70(x7123)+P6(x7121,x7122,x7123)+~P6(f5(x7121,x7123),x7122,x7123) % 1.90/1.81 [713]~P26(x7133)+P8(x7131,x7132,x7133)+~P8(f5(x7131,x7133),x7132,x7133) % 1.90/1.81 [714]~P70(x7143)+P9(x7141,x7142,x7143)+~P9(f5(x7141,x7143),x7142,x7143) % 1.90/1.81 [715]~P58(x7153)+P9(x7151,x7152,x7153)+~P9(f9(x7151,x7153),x7152,x7153) % 1.90/1.81 [742]~P27(x7422)+~P6(x7423,x7421,x7422)+P6(f9(x7421,x7422),f9(x7423,x7422),x7422) % 1.90/1.81 [743]~P27(x7432)+~P8(x7433,x7431,x7432)+P8(f9(x7431,x7432),f9(x7433,x7432),x7432) % 1.90/1.81 [775]~P27(x7753)+~P6(x7752,f9(x7751,x7753),x7753)+P6(x7751,f9(x7752,x7753),x7753) % 1.90/1.81 [777]~P27(x7773)+~P8(x7772,f9(x7771,x7773),x7773)+P8(x7771,f9(x7772,x7773),x7773) % 1.90/1.81 [778]~P70(x7782)+~P6(f5(x7781,x7782),x7783,x7782)+P6(f9(x7781,x7782),x7783,x7782) % 1.90/1.81 [780]~P27(x7802)+~P6(f9(x7803,x7802),x7801,x7802)+P6(f9(x7801,x7802),x7803,x7802) % 1.90/1.81 [781]~P26(x7812)+~P8(f5(x7811,x7812),x7813,x7812)+P8(f9(x7811,x7812),x7813,x7812) % 1.90/1.81 [783]~P27(x7832)+~P8(f9(x7833,x7832),x7831,x7832)+P8(f9(x7831,x7832),x7833,x7832) % 1.90/1.81 [797]~P27(x7973)+P6(x7971,x7972,x7973)+~P6(f9(x7972,x7973),f9(x7971,x7973),x7973) % 1.90/1.81 [798]~P27(x7983)+P8(x7981,x7982,x7983)+~P8(f9(x7982,x7983),f9(x7981,x7983),x7983) % 1.90/1.81 [864]~P27(x8643)+~P6(x8641,x8642,x8643)+P6(f8(x8641,x8642,x8643),f2(x8643),x8643) % 1.90/1.81 [865]~P27(x8653)+~P8(x8651,x8652,x8653)+P8(f8(x8651,x8652,x8653),f2(x8653),x8653) % 1.90/1.81 [868]E(x8681,x8682)+~P38(x8683)+~P8(f27(x8681,x8682,x8683),f2(a1),a1) % 1.90/1.81 [881]~P6(x8812,x8813,a1)+P6(f14(x8811,x8812),f14(x8811,x8813),a1)+~P6(f3(a1),x8811,a1) % 1.90/1.81 [882]~P8(x8822,x8823,a1)+P8(f14(x8821,x8822),f14(x8821,x8823),a1)+~P6(f3(a1),x8821,a1) % 1.90/1.81 [883]~P8(x8832,x8833,a1)+P8(f14(x8831,x8832),f14(x8831,x8833),a1)+~P8(f3(a1),x8831,a1) % 1.90/1.81 [910]~P3(x9103)+~P8(x9101,f9(x9102,x9103),x9103)+P8(f11(x9101,x9102,x9103),f2(x9103),x9103) % 1.90/1.81 [914]P6(x9141,x9142,a1)+~P6(f14(x9143,x9141),f14(x9143,x9142),a1)+~P6(f3(a1),x9143,a1) % 1.90/1.81 [915]P8(x9151,x9152,a1)+~P8(f14(x9153,x9151),f14(x9153,x9152),a1)+~P6(f3(a1),x9153,a1) % 1.90/1.81 [946]~P27(x9463)+P6(x9461,x9462,x9463)+~P6(f8(x9461,x9462,x9463),f2(x9463),x9463) % 1.90/1.81 [947]~P27(x9473)+P8(x9471,x9472,x9473)+~P8(f8(x9471,x9472,x9473),f2(x9473),x9473) % 1.90/1.81 [1029]~P3(x10293)+~P8(f11(x10291,x10292,x10293),f2(x10293),x10293)+P8(x10291,f9(x10292,x10293),x10293) % 1.90/1.81 [1143]~P6(x11431,x11433,a1)+P6(f10(x11431,x11432,a1),f10(x11433,x11432,a1),a1)+~P6(f2(a1),x11432,a1) % 1.90/1.81 [1144]~P6(x11442,x11443,a1)+P6(f10(x11441,x11442,a1),f10(x11441,x11443,a1),a1)+~P6(f2(a1),x11441,a1) % 1.90/1.81 [1145]~P8(x11451,x11453,a1)+P8(f10(x11451,x11452,a1),f10(x11453,x11452,a1),a1)+~P6(f2(a1),x11452,a1) % 1.90/1.81 [1146]~P8(x11462,x11463,a1)+P8(f10(x11461,x11462,a1),f10(x11461,x11463,a1),a1)+~P6(f2(a1),x11461,a1) % 1.90/1.81 [1286]P6(x12861,x12862,a1)+~P6(f10(x12861,x12863,a1),f10(x12862,x12863,a1),a1)+~P6(f2(a1),x12863,a1) % 1.90/1.81 [1287]P8(x12871,x12872,a1)+~P8(f10(x12873,x12871,a1),f10(x12873,x12872,a1),a1)+~P6(f2(a1),x12873,a1) % 1.90/1.81 [1288]P8(x12881,x12882,a1)+~P8(f10(x12881,x12883,a1),f10(x12882,x12883,a1),a1)+~P6(f2(a1),x12883,a1) % 1.90/1.81 [668]~P50(x6682)+E(x6681,f2(x6682))+E(f7(f9(x6683,x6682),f9(x6681,x6682),x6682),f7(x6683,x6681,x6682)) % 1.90/1.81 [676]~P50(x6762)+E(x6761,f2(x6762))+E(f7(f10(x6763,x6761,x6762),x6761,x6762),x6763) % 1.90/1.81 [677]~P50(x6772)+~P51(x6772)+E(f7(f9(x6771,x6772),f9(x6773,x6772),x6772),f7(x6771,x6773,x6772)) % 1.90/1.81 [716]~P50(x7163)+~P51(x7163)+E(f4(f7(x7161,x7162,x7163),x7163),f7(x7162,x7161,x7163)) % 1.90/1.81 [773]~P50(x7732)+E(x7731,f2(x7732))+E(f7(x7733,f9(x7731,x7732),x7732),f9(f7(x7733,x7731,x7732),x7732)) % 1.90/1.81 [784]~P50(x7843)+~P51(x7843)+E(f7(x7841,f9(x7842,x7843),x7843),f9(f7(x7841,x7842,x7843),x7843)) % 1.90/1.81 [822]~P51(x8223)+~P44(x8223)+E(f28(f4(x8221,a1),f4(x8222,x8223),x8223),f4(f28(x8221,x8222,x8223),x8223)) % 1.90/1.81 [825]~P49(x8252)+E(x8251,f2(x8252))+E(f7(f5(x8253,x8252),f5(x8251,x8252),x8252),f5(f7(x8253,x8251,x8252),x8252)) % 1.90/1.81 [827]~P50(x8272)+~P51(x8272)+E(f10(f4(x8271,x8272),f4(x8273,x8272),x8272),f4(f10(x8271,x8273,x8272),x8272)) % 1.90/1.81 [828]~P2(x8282)+~P3(x8282)+E(f24(f9(x8281,x8282),f9(x8283,x8282),x8282),f9(f23(x8281,x8283,x8282),x8282)) % 1.90/1.81 [829]~P2(x8292)+~P3(x8292)+E(f23(f9(x8291,x8292),f9(x8293,x8292),x8292),f9(f24(x8291,x8293,x8292),x8292)) % 1.90/1.81 [830]~P49(x8302)+~P51(x8302)+E(f7(f5(x8301,x8302),f5(x8303,x8302),x8302),f5(f7(x8301,x8303,x8302),x8302)) % 1.90/1.81 [911]~P70(x9112)+~P8(f2(x9112),x9113,x9112)+E(f10(f5(x9111,x9112),x9113,x9112),f5(f10(x9111,x9113,x9112),x9112)) % 1.90/1.81 [1115]~P6(f2(a1),x11153,a1)+~P6(f2(a1),x11151,a1)+E(f10(f14(x11151,x11152),f14(x11153,x11152),a1),f14(f10(x11151,x11153,a1),x11152)) % 1.90/1.81 [1197]~P69(x11972)+E(x11971,f2(x11972))+~E(f11(f10(x11973,x11973,x11972),f10(x11971,x11971,x11972),x11972),f2(x11972)) % 1.90/1.81 [1198]~P69(x11982)+E(x11981,f2(x11982))+~E(f11(f10(x11981,x11981,x11982),f10(x11983,x11983,x11982),x11982),f2(x11982)) % 1.90/1.81 [1323]~P69(x13232)+E(x13231,f2(x13232))+P6(f2(x13232),f11(f10(x13233,x13233,x13232),f10(x13231,x13231,x13232),x13232),x13232) % 1.90/1.81 [1324]~P69(x13242)+E(x13241,f2(x13242))+P6(f2(x13242),f11(f10(x13241,x13241,x13242),f10(x13243,x13243,x13242),x13242),x13242) % 1.90/1.81 [1379]~P69(x13792)+E(x13791,f2(x13792))+~P8(f11(f10(x13793,x13793,x13792),f10(x13791,x13791,x13792),x13792),f2(x13792),x13792) % 1.90/1.81 [1380]~P69(x13802)+E(x13801,f2(x13802))+~P8(f11(f10(x13801,x13801,x13802),f10(x13803,x13803,x13802),x13802),f2(x13802),x13802) % 1.90/1.81 [1352]~P49(x13523)+~P6(x13521,x13522,x13523)+P6(x13521,f7(f11(x13521,x13522,x13523),f11(f3(x13523),f3(x13523),x13523),x13523),x13523) % 1.90/1.81 [1353]~P49(x13533)+~P6(x13531,x13532,x13533)+P6(f7(f11(x13531,x13532,x13533),f11(f3(x13533),f3(x13533),x13533),x13533),x13532,x13533) % 1.90/1.81 [686]~P19(x6864)+E(x6861,x6862)+~E(f8(x6863,x6863,x6864),f8(x6861,x6862,x6864)) % 1.90/1.81 [687]~P23(x6874)+E(x6871,x6872)+~E(f11(x6873,x6871,x6874),f11(x6873,x6872,x6874)) % 1.90/1.81 [688]~P24(x6884)+E(x6881,x6882)+~E(f11(x6883,x6881,x6884),f11(x6883,x6882,x6884)) % 1.90/1.81 [689]~P24(x6894)+E(x6891,x6892)+~E(f11(x6891,x6893,x6894),f11(x6892,x6893,x6894)) % 1.90/1.81 [690]~P19(x6903)+E(x6901,x6902)+~E(f8(x6901,x6902,x6903),f8(x6904,x6904,x6903)) % 1.90/1.81 [837]~P2(x8374)+~P6(x8371,x8373,x8374)+P6(x8371,f23(x8372,x8373,x8374),x8374) % 1.90/1.81 [839]~P2(x8394)+~P6(x8391,x8392,x8394)+P6(x8391,f23(x8392,x8393,x8394),x8394) % 1.90/1.81 [840]~P12(x8404)+~P6(x8401,x8403,x8404)+P6(x8401,f15(x8402,x8403,x8404),x8404) % 1.90/1.81 [841]~P12(x8414)+~P6(x8411,x8412,x8414)+P6(x8411,f15(x8412,x8413,x8414),x8414) % 1.90/1.81 [843]~P2(x8434)+~P8(x8431,x8433,x8434)+P8(x8431,f23(x8432,x8433,x8434),x8434) % 1.90/1.81 [845]~P2(x8454)+~P8(x8451,x8452,x8454)+P8(x8451,f23(x8452,x8453,x8454),x8454) % 1.90/1.81 [846]~P12(x8464)+~P8(x8461,x8463,x8464)+P8(x8461,f15(x8462,x8463,x8464),x8464) % 1.90/1.81 [847]~P12(x8474)+~P8(x8471,x8472,x8474)+P8(x8471,f15(x8472,x8473,x8474),x8474) % 1.90/1.81 [848]~P54(x8484)+~P9(x8481,x8483,x8484)+P9(x8481,f10(x8482,x8483,x8484),x8484) % 1.90/1.81 [849]~P54(x8494)+~P9(x8491,x8492,x8494)+P9(x8491,f10(x8492,x8493,x8494),x8494) % 1.90/1.81 [851]~P2(x8513)+~P6(x8512,x8514,x8513)+P6(f24(x8511,x8512,x8513),x8514,x8513) % 1.90/1.81 [853]~P2(x8533)+~P6(x8531,x8534,x8533)+P6(f24(x8531,x8532,x8533),x8534,x8533) % 1.90/1.81 [854]~P15(x8543)+~P6(x8542,x8544,x8543)+P6(f16(x8541,x8542,x8543),x8544,x8543) % 1.90/1.81 [855]~P15(x8553)+~P6(x8551,x8554,x8553)+P6(f16(x8551,x8552,x8553),x8554,x8553) % 1.90/1.81 [857]~P2(x8573)+~P8(x8572,x8574,x8573)+P8(f24(x8571,x8572,x8573),x8574,x8573) % 1.90/1.81 [859]~P2(x8593)+~P8(x8591,x8594,x8593)+P8(f24(x8591,x8592,x8593),x8594,x8593) % 1.90/1.81 [860]~P15(x8603)+~P8(x8602,x8604,x8603)+P8(f16(x8601,x8602,x8603),x8604,x8603) % 1.90/1.81 [861]~P15(x8613)+~P8(x8611,x8614,x8613)+P8(f16(x8611,x8612,x8613),x8614,x8613) % 1.90/1.81 [918]~P2(x9183)+P6(x9181,x9182,x9183)+~P6(x9181,f24(x9184,x9182,x9183),x9183) % 1.90/1.81 [919]~P2(x9193)+P6(x9191,x9192,x9193)+~P6(x9191,f24(x9192,x9194,x9193),x9193) % 1.90/1.81 [921]~P2(x9213)+P8(x9211,x9212,x9213)+~P8(x9211,f24(x9214,x9212,x9213),x9213) % 1.90/1.81 [923]~P2(x9233)+P8(x9231,x9232,x9233)+~P8(x9231,f24(x9232,x9234,x9233),x9233) % 1.90/1.81 [925]~P15(x9253)+P8(x9251,x9252,x9253)+~P8(x9251,f16(x9254,x9252,x9253),x9253) % 1.90/1.81 [927]~P15(x9273)+P8(x9271,x9272,x9273)+~P8(x9271,f16(x9272,x9274,x9273),x9273) % 1.90/1.81 [928]~P2(x9283)+P6(x9281,x9282,x9283)+~P6(f23(x9284,x9281,x9283),x9282,x9283) % 1.90/1.81 [929]~P2(x9293)+P6(x9291,x9292,x9293)+~P6(f23(x9291,x9294,x9293),x9292,x9293) % 1.90/1.81 [931]~P2(x9313)+P8(x9311,x9312,x9313)+~P8(f23(x9314,x9311,x9313),x9312,x9313) % 1.90/1.81 [933]~P2(x9333)+P8(x9331,x9332,x9333)+~P8(f23(x9331,x9334,x9333),x9332,x9333) % 1.90/1.81 [935]~P12(x9353)+P8(x9351,x9352,x9353)+~P8(f15(x9354,x9351,x9353),x9352,x9353) % 1.90/1.81 [937]~P12(x9373)+P8(x9371,x9372,x9373)+~P8(f15(x9371,x9374,x9373),x9372,x9373) % 1.90/1.81 [938]~P54(x9383)+P9(x9381,x9382,x9383)+~P9(f10(x9384,x9381,x9383),x9382,x9383) % 1.90/1.81 [939]~P54(x9393)+P9(x9391,x9392,x9393)+~P9(f10(x9391,x9394,x9393),x9392,x9393) % 1.90/1.81 [1040]~P34(x10403)+~P6(x10401,x10404,x10403)+P6(f11(x10401,x10402,x10403),f11(x10404,x10402,x10403),x10403) % 1.90/1.81 [1041]~P37(x10413)+~P6(x10411,x10414,x10413)+P6(f11(x10411,x10412,x10413),f11(x10414,x10412,x10413),x10413) % 1.90/1.81 [1042]~P34(x10423)+~P6(x10422,x10424,x10423)+P6(f11(x10421,x10422,x10423),f11(x10421,x10424,x10423),x10423) % 1.90/1.81 [1043]~P37(x10433)+~P6(x10432,x10434,x10433)+P6(f11(x10431,x10432,x10433),f11(x10431,x10434,x10433),x10433) % 1.90/1.81 [1044]~P34(x10443)+~P8(x10441,x10444,x10443)+P8(f11(x10441,x10442,x10443),f11(x10444,x10442,x10443),x10443) % 1.90/1.81 [1045]~P35(x10453)+~P8(x10451,x10454,x10453)+P8(f11(x10451,x10452,x10453),f11(x10454,x10452,x10453),x10453) % 1.90/1.81 [1046]~P34(x10463)+~P8(x10462,x10464,x10463)+P8(f11(x10461,x10462,x10463),f11(x10461,x10464,x10463),x10463) % 1.90/1.81 [1047]~P35(x10473)+~P8(x10472,x10474,x10473)+P8(f11(x10471,x10472,x10473),f11(x10471,x10474,x10473),x10473) % 1.90/1.81 [1048]~P63(x10483)+~P9(x10481,x10484,x10483)+P9(f10(x10481,x10482,x10483),f10(x10484,x10482,x10483),x10483) % 1.90/1.81 [1049]~P63(x10493)+~P9(x10492,x10494,x10493)+P9(f10(x10491,x10492,x10493),f10(x10491,x10494,x10493),x10493) % 1.90/1.81 [1234]~P34(x12343)+P6(x12341,x12342,x12343)+~P6(f11(x12344,x12341,x12343),f11(x12344,x12342,x12343),x12343) % 1.90/1.81 [1235]~P34(x12353)+P6(x12351,x12352,x12353)+~P6(f11(x12351,x12354,x12353),f11(x12352,x12354,x12353),x12353) % 1.90/1.81 [1236]~P34(x12363)+P8(x12361,x12362,x12363)+~P8(f11(x12364,x12361,x12363),f11(x12364,x12362,x12363),x12363) % 1.90/1.81 [1237]~P34(x12373)+P8(x12371,x12372,x12373)+~P8(f11(x12371,x12374,x12373),f11(x12372,x12374,x12373),x12373) % 1.90/1.81 [879]~P19(x8793)+E(x8791,f9(x8792,x8793))+~E(f11(x8791,f11(x8794,x8792,x8793),x8793),x8794) % 1.90/1.81 [916]~P5(x9163)+~P9(x9164,x9162,x9163)+E(f6(f6(x9161,x9162,x9163),x9164,x9163),f6(x9161,x9164,x9163)) % 1.90/1.81 [1001]~P50(x10013)+~P51(x10013)+E(f7(f10(x10011,x10012,x10013),x10014,x10013),f10(f7(x10011,x10014,x10013),x10012,x10013)) % 1.90/1.81 [1004]~P10(x10042)+~E(f6(x10041,x10043,x10042),f6(x10044,x10043,x10042))+E(f6(f9(x10041,x10042),x10043,x10042),f6(f9(x10044,x10042),x10043,x10042)) % 1.90/1.81 [1233]~P28(x12334)+~P8(f11(x12331,x12333,x12334),x12332,x12334)+P8(x12331,f11(x12332,f5(x12333,x12334),x12334),x12334) % 1.90/1.81 [1283]~P63(x12833)+~P4(x12833)+E(f11(f10(x12831,x12832,x12833),f10(x12831,x12834,x12833),x12833),f11(f10(x12831,x12834,x12833),f10(x12831,x12832,x12833),x12833)) % 1.90/1.81 [1325]~P70(x13254)+P6(x13251,f11(x13252,x13253,x13254),x13254)+~P6(f5(f8(x13251,x13252,x13254),x13254),x13253,x13254) % 1.90/1.81 [1326]~P70(x13263)+P6(f8(x13261,x13262,x13263),x13264,x13263)+~P6(f5(f8(x13264,x13261,x13263),x13263),x13262,x13263) % 1.90/1.81 [1132]~P19(x11323)+E(f11(x11321,x11322,x11323),x11324)+~E(f11(x11321,f11(x11325,x11322,x11323),x11323),f11(x11325,x11324,x11323)) % 1.90/1.81 [1281]~P50(x12813)+~P51(x12813)+E(f7(f10(x12811,x12812,x12813),f10(x12814,x12815,x12813),x12813),f10(f7(x12811,x12814,x12813),f7(x12812,x12815,x12813),x12813)) % 1.90/1.81 [1370]~P75(x13704)+~E(f11(f10(x13703,x13705,x13704),x13701,x13704),f11(f10(x13702,x13705,x13704),x13706,x13704))+E(x13701,f11(f10(f8(x13702,x13703,x13704),x13705,x13704),x13706,x13704)) % 1.90/1.81 [1371]~P75(x13713)+~E(f11(f10(x13711,x13714,x13713),x13715,x13713),f11(f10(x13712,x13714,x13713),x13716,x13713))+E(f11(f10(f8(x13711,x13712,x13713),x13714,x13713),x13715,x13713),x13716) % 1.90/1.81 [1389]~P68(x13894)+~P6(f11(f10(x13893,x13895,x13894),x13891,x13894),f11(f10(x13892,x13895,x13894),x13896,x13894),x13894)+P6(x13891,f11(f10(f8(x13892,x13893,x13894),x13895,x13894),x13896,x13894),x13894) % 1.90/1.81 [1390]~P68(x13904)+~P8(f11(f10(x13903,x13905,x13904),x13901,x13904),f11(f10(x13902,x13905,x13904),x13906,x13904),x13904)+P8(x13901,f11(f10(f8(x13902,x13903,x13904),x13905,x13904),x13906,x13904),x13904) % 1.90/1.81 [1391]~P68(x13913)+~P6(f11(f10(x13911,x13914,x13913),x13915,x13913),f11(f10(x13912,x13914,x13913),x13916,x13913),x13913)+P6(f11(f10(f8(x13911,x13912,x13913),x13914,x13913),x13915,x13913),x13916,x13913) % 1.90/1.81 [1392]~P68(x13923)+~P8(f11(f10(x13921,x13924,x13923),x13925,x13923),f11(f10(x13922,x13924,x13923),x13926,x13923),x13923)+P8(f11(f10(f8(x13921,x13922,x13923),x13924,x13923),x13925,x13923),x13926,x13923) % 1.90/1.81 [1393]~P68(x13933)+P6(f11(f10(x13931,x13932,x13933),x13934,x13933),f11(f10(x13935,x13932,x13933),x13936,x13933),x13933)+~P6(x13934,f11(f10(f8(x13935,x13931,x13933),x13932,x13933),x13936,x13933),x13933) % 1.90/1.81 [1394]~P68(x13943)+P8(f11(f10(x13941,x13942,x13943),x13944,x13943),f11(f10(x13945,x13942,x13943),x13946,x13943),x13943)+~P8(x13944,f11(f10(f8(x13945,x13941,x13943),x13942,x13943),x13946,x13943),x13943) % 1.90/1.81 [1395]~P68(x13953)+P6(f11(f10(x13951,x13952,x13953),x13954,x13953),f11(f10(x13955,x13952,x13953),x13956,x13953),x13953)+~P6(f11(f10(f8(x13951,x13955,x13953),x13952,x13953),x13954,x13953),x13956,x13953) % 1.90/1.81 [1396]~P68(x13963)+P8(f11(f10(x13961,x13962,x13963),x13964,x13963),f11(f10(x13965,x13962,x13963),x13966,x13963),x13963)+~P8(f11(f10(f8(x13961,x13965,x13963),x13962,x13963),x13964,x13963),x13966,x13963) % 1.90/1.81 [375]~P50(x3752)+~P51(x3752)+~E(f4(x3751,x3752),f3(x3752))+E(x3751,f3(x3752)) % 1.90/1.81 [466]~P2(x4662)+~P28(x4662)+P6(x4661,f2(x4662),x4662)+E(f5(x4661,x4662),x4661) % 1.90/1.81 [563]~P2(x5632)+~P28(x5632)+~P6(x5631,f2(x5632),x5632)+E(f5(x5631,x5632),f9(x5631,x5632)) % 1.90/1.81 [734]~P49(x7341)+~P51(x7341)+~P8(f2(x7341),x7342,x7341)+P8(f2(x7341),f4(x7342,x7341),x7341) % 1.90/1.81 [736]~P49(x7362)+~P51(x7362)+~P8(x7361,f2(x7362),x7362)+P6(f4(x7361,x7362),f3(x7362),x7362) % 1.90/1.81 [737]~P49(x7372)+~P51(x7372)+~P8(x7371,f2(x7372),x7372)+P8(f4(x7371,x7372),f2(x7372),x7372) % 1.90/1.81 [738]~P49(x7382)+~P51(x7382)+~P8(x7381,f2(x7382),x7382)+P8(f4(x7381,x7382),f3(x7382),x7382) % 1.90/1.81 [739]~P49(x7392)+~P51(x7392)+~P6(f3(x7392),x7391,x7392)+P6(f4(x7391,x7392),f3(x7392),x7392) % 1.90/1.81 [740]~P49(x7402)+~P51(x7402)+~P8(f3(x7402),x7401,x7402)+P8(f4(x7401,x7402),f3(x7402),x7402) % 1.90/1.81 [763]~P49(x7632)+~P6(f4(x7631,x7632),f2(x7632),x7632)+P6(x7631,f2(x7632),x7632)+E(x7631,f2(x7632)) % 1.90/1.81 [764]~P49(x7642)+~P6(f2(x7642),f4(x7641,x7642),x7642)+P6(f2(x7642),x7641,x7642)+E(x7641,f2(x7642)) % 1.90/1.81 [765]~P49(x7652)+~P51(x7652)+~P6(f3(x7652),f4(x7651,x7652),x7652)+P6(x7651,f3(x7652),x7652) % 1.90/1.81 [766]~P49(x7662)+~P51(x7662)+~P8(f3(x7662),f4(x7661,x7662),x7662)+P8(x7661,f3(x7662),x7662) % 1.90/1.81 [767]~P49(x7672)+~P51(x7672)+~P6(f4(x7671,x7672),f2(x7672),x7672)+P6(x7671,f2(x7672),x7672) % 1.90/1.81 [768]~P49(x7682)+~P51(x7682)+~P8(f4(x7681,x7682),f2(x7682),x7682)+P8(x7681,f2(x7682),x7682) % 1.90/1.81 [769]~P49(x7691)+~P51(x7691)+~P6(f2(x7691),f4(x7692,x7691),x7691)+P6(f2(x7691),x7692,x7691) % 1.90/1.81 [770]~P49(x7701)+~P51(x7701)+~P6(f3(x7701),f4(x7702,x7701),x7701)+P6(f2(x7701),x7702,x7701) % 1.90/1.81 [771]~P49(x7711)+~P51(x7711)+~P8(f3(x7711),f4(x7712,x7711),x7711)+P6(f2(x7711),x7712,x7711) % 1.90/1.81 [772]~P49(x7721)+~P51(x7721)+~P8(f2(x7721),f4(x7722,x7721),x7721)+P8(f2(x7721),x7722,x7721) % 1.90/1.81 [940]~P6(x9402,x9401,a1)+~P8(x9401,a12,a1)+P6(f18(x9401),f18(x9402),a1)+~P8(f2(a1),x9402,a1) % 1.90/1.81 [941]~P8(x9412,x9411,a1)+~P8(x9411,a12,a1)+P8(f18(x9411),f18(x9412),a1)+~P8(f2(a1),x9412,a1) % 1.90/1.81 [1030]~P6(x10301,x10302,a1)+P6(f18(x10301),f18(x10302),a1)+~P8(x10302,f2(a1),a1)+~P8(f9(a12,a1),x10301,a1) % 1.90/1.81 [1031]~P8(x10311,x10312,a1)+P8(f18(x10311),f18(x10312),a1)+~P8(f9(a12,a1),x10311,a1)+~P8(x10312,f2(a1),a1) % 1.90/1.81 [632]~P2(x6322)+~P3(x6322)+P6(x6321,f2(x6322),x6322)+E(f15(x6321,f9(x6321,x6322),x6322),x6321) % 1.90/1.81 [749]~P2(x7492)+~P3(x7492)+~P6(x7491,f2(x7492),x7492)+E(f15(x7491,f9(x7491,x7492),x7492),f9(x7491,x7492)) % 1.90/1.81 [891]~P49(x8911)+~P51(x8911)+~P6(f2(x8911),x8912,x8911)+P6(f2(x8911),f7(f3(x8911),x8912,x8911),x8911) % 1.90/1.81 [892]~P49(x8921)+~P51(x8921)+~P8(f2(x8921),x8922,x8921)+P8(f2(x8921),f7(f3(x8921),x8922,x8921),x8921) % 1.90/1.81 [893]~P49(x8931)+~P51(x8931)+~P6(x8932,f2(x8931),x8931)+P6(f7(f3(x8931),x8932,x8931),f2(x8931),x8931) % 1.90/1.81 [894]~P49(x8941)+~P51(x8941)+~P8(x8942,f2(x8941),x8941)+P8(f7(f3(x8941),x8942,x8941),f2(x8941),x8941) % 1.90/1.81 [1032]~P49(x10322)+~P51(x10322)+P6(x10321,f2(x10322),x10322)+~P6(f7(f3(x10322),x10321,x10322),f2(x10322),x10322) % 1.90/1.81 [1033]~P49(x10332)+~P51(x10332)+P8(x10331,f2(x10332),x10332)+~P8(f7(f3(x10332),x10331,x10332),f2(x10332),x10332) % 1.90/1.81 [1034]~P49(x10341)+~P51(x10341)+P6(f2(x10341),x10342,x10341)+~P6(f2(x10341),f7(f3(x10341),x10342,x10341),x10341) % 1.90/1.81 [1035]~P49(x10351)+~P51(x10351)+P8(f2(x10351),x10352,x10351)+~P8(f2(x10351),f7(f3(x10351),x10352,x10351),x10351) % 1.90/1.81 [549]P6(x5491,x5492,x5493)+~P2(x5493)+E(x5491,x5492)+P6(x5492,x5491,x5493) % 1.90/1.81 [550]P6(x5501,x5502,x5503)+~P70(x5503)+E(x5501,x5502)+P6(x5502,x5501,x5503) % 1.90/1.81 [601]~P2(x6013)+~P8(x6011,x6012,x6013)+E(x6011,x6012)+P6(x6011,x6012,x6013) % 1.90/1.81 [607]~P39(x6073)+~P8(x6071,x6072,x6073)+E(x6071,x6072)+P6(x6071,x6072,x6073) % 1.90/1.81 [694]~P8(x6942,x6941,x6943)+~P8(x6941,x6942,x6943)+E(x6941,x6942)+~P39(x6943) % 1.90/1.81 [744]P8(x7442,x7441,x7443)+~P40(x7443)+~P8(x7441,x7442,x7443)+P6(x7441,x7442,x7443) % 1.90/1.81 [381]~P51(x3813)+~P59(x3813)+E(x3811,x3812)+~E(f4(x3811,x3813),f4(x3812,x3813)) % 1.90/1.81 [508]~P50(x5083)+E(x5081,x5082)+~E(f7(x5081,x5082,x5083),f3(x5083))+E(x5082,f2(x5083)) % 1.90/1.81 [509]~P63(x5092)+~P4(x5092)+~E(f11(x5093,x5091,x5092),x5093)+E(x5091,f2(x5092)) % 1.90/1.81 [512]~P52(x5122)+~E(f28(x5123,x5121,x5122),f2(x5122))+E(x5121,f2(x5122))+E(x5123,f2(a1)) % 1.90/1.81 [513]~P63(x5133)+~P4(x5133)+E(x5131,x5132)+~E(f8(x5131,x5132,x5133),f2(x5133)) % 1.90/1.81 [514]~P79(x5142)+~E(f10(x5143,x5141,x5142),f2(x5142))+E(x5141,f2(x5142))+E(x5143,f2(x5142)) % 1.90/1.81 [516]~P67(x5162)+~E(f10(x5163,x5161,x5162),f2(x5162))+E(x5161,f2(x5162))+E(x5163,f2(x5162)) % 1.90/1.81 [732]~P63(x7323)+E(x7321,x7322)+~E(f10(x7321,x7321,x7323),f10(x7322,x7322,x7323))+E(x7321,f9(x7322,x7323)) % 1.90/1.81 [897]~P49(x8972)+~P6(x8973,x8971,x8972)+~P6(x8971,f2(x8972),x8972)+P6(f4(x8971,x8972),f4(x8973,x8972),x8972) % 1.90/1.81 [898]~P49(x8982)+~P8(x8983,x8981,x8982)+~P6(x8981,f2(x8982),x8982)+P8(f4(x8981,x8982),f4(x8983,x8982),x8982) % 1.90/1.81 [899]~P49(x8992)+~P6(x8993,x8991,x8992)+~P6(f2(x8992),x8993,x8992)+P6(f4(x8991,x8992),f4(x8993,x8992),x8992) % 1.90/1.81 [900]~P49(x9002)+~P8(x9003,x9001,x9002)+~P6(f2(x9002),x9003,x9002)+P8(f4(x9001,x9002),f4(x9003,x9002),x9002) % 1.90/1.81 [907]~P70(x9072)+~P6(x9071,x9073,x9072)+~P6(f9(x9071,x9072),x9073,x9072)+P6(f5(x9071,x9072),x9073,x9072) % 1.90/1.81 [909]~P26(x9092)+~P8(x9091,x9093,x9092)+~P8(f9(x9091,x9092),x9093,x9092)+P8(f5(x9091,x9092),x9093,x9092) % 1.90/1.81 [948]~P49(x9483)+P6(x9481,x9482,x9483)+~P6(x9481,f2(x9483),x9483)+~P6(f4(x9482,x9483),f4(x9481,x9483),x9483) % 1.90/1.81 [949]~P49(x9493)+P8(x9491,x9492,x9493)+~P6(x9491,f2(x9493),x9493)+~P8(f4(x9492,x9493),f4(x9491,x9493),x9493) % 1.90/1.81 [950]~P49(x9503)+P6(x9501,x9502,x9503)+~P6(f2(x9503),x9502,x9503)+~P6(f4(x9502,x9503),f4(x9501,x9503),x9503) % 1.90/1.81 [951]~P49(x9513)+P8(x9511,x9512,x9513)+~P6(f2(x9513),x9512,x9513)+~P8(f4(x9512,x9513),f4(x9511,x9513),x9513) % 1.90/1.81 [1050]~P6(x10503,x10501,a1)+P6(f14(x10501,x10502),f14(x10503,x10502),a1)+~P6(x10502,f2(a1),a1)+~P6(f2(a1),x10503,a1) % 1.90/1.81 [1051]~P6(x10511,x10513,a1)+P6(f14(x10511,x10512),f14(x10513,x10512),a1)+~P6(f2(a1),x10512,a1)+~P6(f2(a1),x10511,a1) % 1.90/1.81 [1052]~P8(x10521,x10523,a1)+P8(f14(x10521,x10522),f14(x10523,x10522),a1)+~P6(f2(a1),x10521,a1)+~P8(f2(a1),x10522,a1) % 1.90/1.81 [1053]~P49(x10531)+~P6(x10533,f2(x10531),x10531)+~P6(x10532,f2(x10531),x10531)+P6(f2(x10531),f7(x10532,x10533,x10531),x10531) % 1.90/1.81 [1054]~P69(x10541)+~P6(x10543,f2(x10541),x10541)+~P6(x10542,f2(x10541),x10541)+P6(f2(x10541),f10(x10542,x10543,x10541),x10541) % 1.90/1.81 [1055]~P49(x10551)+~P6(x10553,f2(x10551),x10551)+~P8(x10552,f2(x10551),x10551)+P8(f2(x10551),f7(x10552,x10553,x10551),x10551) % 1.90/1.81 [1057]~P68(x10571)+~P8(x10573,f2(x10571),x10571)+~P8(x10572,f2(x10571),x10571)+P8(f2(x10571),f10(x10572,x10573,x10571),x10571) % 1.90/1.81 [1058]~P69(x10581)+~P8(x10583,f2(x10581),x10581)+~P8(x10582,f2(x10581),x10581)+P8(f2(x10581),f10(x10582,x10583,x10581),x10581) % 1.90/1.81 [1059]~P49(x10591)+~P6(f2(x10591),x10593,x10591)+~P6(f2(x10591),x10592,x10591)+P6(f2(x10591),f7(x10592,x10593,x10591),x10591) % 1.90/1.81 [1060]~P71(x10601)+~P6(f2(x10601),x10603,x10601)+~P6(f2(x10601),x10602,x10601)+P6(f2(x10601),f10(x10602,x10603,x10601),x10601) % 1.90/1.81 [1061]~P36(x10611)+~P6(f2(x10611),x10613,x10611)+~P6(f2(x10611),x10612,x10611)+P6(f2(x10611),f11(x10612,x10613,x10611),x10611) % 1.90/1.81 [1062]~P36(x10621)+~P6(f2(x10621),x10623,x10621)+~P8(f2(x10621),x10622,x10621)+P6(f2(x10621),f11(x10622,x10623,x10621),x10621) % 1.90/1.81 [1063]~P36(x10631)+~P6(f2(x10631),x10632,x10631)+~P8(f2(x10631),x10633,x10631)+P6(f2(x10631),f11(x10632,x10633,x10631),x10631) % 1.90/1.81 [1064]~P72(x10641)+~P6(f3(x10641),x10643,x10641)+~P6(f3(x10641),x10642,x10641)+P6(f3(x10641),f10(x10642,x10643,x10641),x10641) % 1.90/1.81 [1065]~P49(x10651)+~P6(f2(x10651),x10653,x10651)+~P8(f2(x10651),x10652,x10651)+P8(f2(x10651),f7(x10652,x10653,x10651),x10651) % 1.90/1.81 [1066]~P68(x10661)+~P8(f2(x10661),x10663,x10661)+~P8(f2(x10661),x10662,x10661)+P8(f2(x10661),f10(x10662,x10663,x10661),x10661) % 1.90/1.81 [1067]~P69(x10671)+~P8(f2(x10671),x10673,x10671)+~P8(f2(x10671),x10672,x10671)+P8(f2(x10671),f10(x10672,x10673,x10671),x10671) % 1.90/1.81 [1068]~P74(x10681)+~P8(f2(x10681),x10683,x10681)+~P8(f2(x10681),x10682,x10681)+P8(f2(x10681),f10(x10682,x10683,x10681),x10681) % 1.90/1.81 [1069]~P36(x10691)+~P8(f2(x10691),x10693,x10691)+~P8(f2(x10691),x10692,x10691)+P8(f2(x10691),f11(x10692,x10693,x10691),x10691) % 1.90/1.81 [1070]~P36(x10703)+~P6(x10702,f2(x10703),x10703)+~P6(x10701,f2(x10703),x10703)+P6(f11(x10701,x10702,x10703),f2(x10703),x10703) % 1.90/1.81 [1071]~P36(x10713)+~P6(x10712,f2(x10713),x10713)+~P8(x10711,f2(x10713),x10713)+P6(f11(x10711,x10712,x10713),f2(x10713),x10713) % 1.90/1.81 [1072]~P36(x10723)+~P6(x10721,f2(x10723),x10723)+~P8(x10722,f2(x10723),x10723)+P6(f11(x10721,x10722,x10723),f2(x10723),x10723) % 1.90/1.81 [1073]~P36(x10733)+~P8(x10732,f2(x10733),x10733)+~P8(x10731,f2(x10733),x10733)+P8(f11(x10731,x10732,x10733),f2(x10733),x10733) % 1.90/1.81 [1074]~P49(x10743)+~P6(x10742,f2(x10743),x10743)+~P6(f2(x10743),x10741,x10743)+P6(f7(x10741,x10742,x10743),f2(x10743),x10743) % 1.90/1.81 [1075]~P49(x10753)+~P6(x10751,f2(x10753),x10753)+~P6(f2(x10753),x10752,x10753)+P6(f7(x10751,x10752,x10753),f2(x10753),x10753) % 1.90/1.81 [1076]~P71(x10763)+~P6(x10762,f2(x10763),x10763)+~P6(f2(x10763),x10761,x10763)+P6(f10(x10761,x10762,x10763),f2(x10763),x10763) % 1.90/1.81 [1078]~P71(x10783)+~P6(x10781,f2(x10783),x10783)+~P6(f2(x10783),x10782,x10783)+P6(f10(x10781,x10782,x10783),f2(x10783),x10783) % 1.90/1.81 [1079]~P49(x10793)+~P6(x10792,f2(x10793),x10793)+~P8(f2(x10793),x10791,x10793)+P8(f7(x10791,x10792,x10793),f2(x10793),x10793) % 1.90/1.81 [1080]~P49(x10803)+~P8(x10801,f2(x10803),x10803)+~P6(f2(x10803),x10802,x10803)+P8(f7(x10801,x10802,x10803),f2(x10803),x10803) % 1.90/1.81 [1081]~P69(x10813)+~P8(x10812,f2(x10813),x10813)+~P8(f2(x10813),x10811,x10813)+P8(f10(x10811,x10812,x10813),f2(x10813),x10813) % 1.90/1.81 [1082]~P69(x10823)+~P8(x10821,f2(x10823),x10823)+~P8(f2(x10823),x10822,x10823)+P8(f10(x10821,x10822,x10823),f2(x10823),x10823) % 1.90/1.81 [1084]~P74(x10843)+~P8(x10842,f2(x10843),x10843)+~P8(f2(x10843),x10841,x10843)+P8(f10(x10841,x10842,x10843),f2(x10843),x10843) % 1.90/1.81 [1087]~P74(x10873)+~P8(x10871,f2(x10873),x10873)+~P8(f2(x10873),x10872,x10873)+P8(f10(x10871,x10872,x10873),f2(x10873),x10873) % 1.90/1.81 [1103]~P69(x11032)+~P8(f10(x11033,x11031,x11032),f2(x11032),x11032)+P8(x11031,f2(x11032),x11032)+P8(x11033,f2(x11032),x11032) % 1.90/1.81 [1104]~P69(x11042)+~P8(f2(x11042),f10(x11043,x11041,x11042),x11042)+P8(x11041,f2(x11042),x11042)+P8(f2(x11042),x11043,x11042) % 1.90/1.81 [1105]~P69(x11052)+~P8(f2(x11052),f10(x11051,x11053,x11052),x11052)+P8(x11051,f2(x11052),x11052)+P8(f2(x11052),x11053,x11052) % 1.90/1.81 [1106]~P69(x11062)+~P8(f2(x11062),f10(x11063,x11061,x11062),x11062)+P8(x11061,f2(x11062),x11062)+P8(f2(x11062),x11061,x11062) % 1.90/1.81 [1107]~P69(x11072)+~P8(f2(x11072),f10(x11071,x11073,x11072),x11072)+P8(x11071,f2(x11072),x11072)+P8(f2(x11072),x11071,x11072) % 1.90/1.81 [1108]~P69(x11082)+~P8(f10(x11083,x11081,x11082),f2(x11082),x11082)+P8(x11081,f2(x11082),x11082)+P8(f2(x11082),x11081,x11082) % 1.90/1.81 [1109]~P69(x11092)+~P8(f10(x11091,x11093,x11092),f2(x11092),x11092)+P8(x11091,f2(x11092),x11092)+P8(f2(x11092),x11091,x11092) % 1.90/1.81 [1110]~P69(x11101)+~P8(f10(x11102,x11103,x11101),f2(x11101),x11101)+P8(f2(x11101),x11102,x11101)+P8(f2(x11101),x11103,x11101) % 1.90/1.81 [1141]~P71(x11411)+~P6(f2(x11411),f10(x11413,x11412,x11411),x11411)+P6(f2(x11411),x11412,x11411)+~P6(f2(x11411),x11413,x11411) % 1.90/1.81 [1142]~P71(x11421)+~P6(f2(x11421),f10(x11422,x11423,x11421),x11421)+P6(f2(x11421),x11422,x11421)+~P6(f2(x11421),x11423,x11421) % 1.90/1.81 [698]~P50(x6982)+~P51(x6982)+E(x6981,f2(x6982))+E(f10(f7(x6983,x6981,x6982),x6981,x6982),x6983) % 1.90/1.81 [826]~P44(x8262)+E(x8261,f2(x8262))+E(x8263,f2(a1))+E(f28(f4(x8263,a1),f4(x8261,x8262),x8262),f4(f28(x8263,x8261,x8262),x8262)) % 1.90/1.81 [832]~P59(x8322)+E(x8321,f2(x8322))+E(x8323,f2(x8322))+E(f10(f4(x8321,x8322),f4(x8323,x8322),x8322),f4(f10(x8323,x8321,x8322),x8322)) % 1.90/1.81 [917]~P49(x9172)+~P51(x9172)+~P6(f2(x9172),x9173,x9172)+E(f7(f5(x9171,x9172),x9173,x9172),f5(f7(x9171,x9173,x9172),x9172)) % 1.90/1.81 [1100]~P47(x11002)+~P8(x11003,f26(x11001,x11002),a1)+~P6(f2(a1),x11003,a1)+P8(f26(f4(x11001,x11002),x11002),f4(x11003,a1),a1) % 1.90/1.81 [1137]~P76(x11372)+~P8(x11373,f2(x11372),x11372)+~P8(x11371,f2(x11372),x11372)+E(f10(f5(x11371,x11372),f5(x11373,x11372),x11372),f5(f10(x11371,x11373,x11372),x11372)) % 1.90/1.81 [1138]~P76(x11382)+~P8(x11383,f2(x11382),x11382)+~P8(f2(x11382),x11381,x11382)+E(f10(f5(x11381,x11382),f5(x11383,x11382),x11382),f5(f10(x11381,x11383,x11382),x11382)) % 1.90/1.81 [1139]~P76(x11392)+~P8(x11391,f2(x11392),x11392)+~P8(f2(x11392),x11393,x11392)+E(f10(f5(x11391,x11392),f5(x11393,x11392),x11392),f5(f10(x11391,x11393,x11392),x11392)) % 1.90/1.81 [1140]~P76(x11402)+~P8(f2(x11402),x11403,x11402)+~P8(f2(x11402),x11401,x11402)+E(f10(f5(x11401,x11402),f5(x11403,x11402),x11402),f5(f10(x11401,x11403,x11402),x11402)) % 1.90/1.81 [1291]~P59(x12912)+E(x12911,f2(x12912))+E(x12913,f2(x12912))+E(f10(f10(f4(x12913,x12912),f8(x12911,x12913,x12912),x12912),f4(x12911,x12912),x12912),f8(f4(x12913,x12912),f4(x12911,x12912),x12912)) % 1.90/1.81 [1292]~P59(x12922)+E(x12921,f2(x12922))+E(x12923,f2(x12922))+E(f10(f10(f4(x12923,x12922),f11(x12923,x12921,x12922),x12922),f4(x12921,x12922),x12922),f11(f4(x12923,x12922),f4(x12921,x12922),x12922)) % 1.90/1.81 [1293]~P50(x12932)+E(x12931,f2(x12932))+E(x12933,f2(x12932))+E(f10(f10(f11(x12933,x12931,x12932),f4(x12933,x12932),x12932),f4(x12931,x12932),x12932),f11(f4(x12933,x12932),f4(x12931,x12932),x12932)) % 1.90/1.81 [1383]~P59(x13832)+E(x13831,f2(x13832))+E(x13833,f2(x13832))+E(f9(f10(f10(f4(x13833,x13832),f8(x13833,x13831,x13832),x13832),f4(x13831,x13832),x13832),x13832),f8(f4(x13833,x13832),f4(x13831,x13832),x13832)) % 1.90/1.81 [813]~P39(x8133)+~P6(x8131,x8134,x8133)+P6(x8131,x8132,x8133)+~P6(x8134,x8132,x8133) % 1.90/1.81 [814]~P39(x8143)+~P8(x8141,x8144,x8143)+P6(x8141,x8142,x8143)+~P6(x8144,x8142,x8143) % 1.90/1.81 [815]~P39(x8153)+~P8(x8154,x8152,x8153)+P6(x8151,x8152,x8153)+~P6(x8151,x8154,x8153) % 1.90/1.81 [816]~P40(x8163)+~P6(x8161,x8164,x8163)+P6(x8161,x8162,x8163)+~P6(x8164,x8162,x8163) % 1.90/1.81 [817]~P40(x8173)+~P8(x8171,x8174,x8173)+P6(x8171,x8172,x8173)+~P6(x8174,x8172,x8173) % 1.90/1.81 [818]~P40(x8183)+~P8(x8184,x8182,x8183)+P6(x8181,x8182,x8183)+~P6(x8181,x8184,x8183) % 1.90/1.81 [819]~P39(x8193)+~P8(x8191,x8194,x8193)+P8(x8191,x8192,x8193)+~P8(x8194,x8192,x8193) % 1.90/1.81 [820]~P40(x8203)+~P8(x8201,x8204,x8203)+P8(x8201,x8202,x8203)+~P8(x8204,x8202,x8203) % 1.90/1.81 [821]~P54(x8213)+~P9(x8211,x8214,x8213)+P9(x8211,x8212,x8213)+~P9(x8214,x8212,x8213) % 1.90/1.81 [707]~P52(x7074)+E(x7071,x7072)+~E(f28(x7073,x7071,x7074),f28(x7073,x7072,x7074))+E(x7073,f2(a1)) % 1.90/1.81 [708]~P52(x7084)+E(x7081,x7082)+~E(f28(x7081,x7083,x7084),f28(x7082,x7083,x7084))+E(x7083,f2(x7084)) % 1.90/1.81 [709]~P63(x7094)+~P4(x7094)+E(x7091,x7092)+~E(f11(x7093,x7091,x7094),f11(x7093,x7092,x7094)) % 1.90/1.81 [1005]~P2(x10054)+~P6(x10051,x10053,x10054)+~P6(x10051,x10052,x10054)+P6(x10051,f24(x10052,x10053,x10054),x10054) % 1.90/1.81 [1008]~P2(x10084)+~P8(x10081,x10083,x10084)+~P8(x10081,x10082,x10084)+P8(x10081,f24(x10082,x10083,x10084),x10084) % 1.90/1.81 [1011]~P15(x10114)+~P8(x10111,x10113,x10114)+~P8(x10111,x10112,x10114)+P8(x10111,f16(x10112,x10113,x10114),x10114) % 1.90/1.81 [1012]~P58(x10124)+~P9(x10121,x10123,x10124)+~P9(x10121,x10122,x10124)+P9(x10121,f8(x10122,x10123,x10124),x10124) % 1.90/1.81 [1013]~P54(x10134)+~P9(x10131,x10133,x10134)+~P9(x10131,x10132,x10134)+P9(x10131,f11(x10132,x10133,x10134),x10134) % 1.90/1.81 [1015]~P5(x10154)+~P9(x10151,x10153,x10154)+~P9(x10151,x10152,x10154)+P9(x10151,f6(x10152,x10153,x10154),x10154) % 1.90/1.81 [1016]~P2(x10163)+~P6(x10162,x10164,x10163)+~P6(x10161,x10164,x10163)+P6(f23(x10161,x10162,x10163),x10164,x10163) % 1.90/1.81 [1019]~P2(x10193)+~P8(x10192,x10194,x10193)+~P8(x10191,x10194,x10193)+P8(f23(x10191,x10192,x10193),x10194,x10193) % 1.90/1.81 [1022]~P12(x10223)+~P8(x10222,x10224,x10223)+~P8(x10221,x10224,x10223)+P8(f15(x10221,x10222,x10223),x10224,x10223) % 1.90/1.81 [1028]~P72(x10284)+~P6(x10281,x10283,x10284)+~P6(f2(x10284),x10282,x10284)+P6(x10281,f11(x10282,x10283,x10284),x10284) % 1.90/1.81 [1088]~P2(x10883)+P6(x10881,x10882,x10883)+P6(x10881,x10884,x10883)+~P6(x10881,f23(x10882,x10884,x10883),x10883) % 1.90/1.81 [1089]~P2(x10893)+P8(x10891,x10892,x10893)+P8(x10891,x10894,x10893)+~P8(x10891,f23(x10892,x10894,x10893),x10893) % 1.90/1.81 [1090]~P2(x10903)+P6(x10901,x10902,x10903)+P6(x10904,x10902,x10903)+~P6(f24(x10901,x10904,x10903),x10902,x10903) % 1.90/1.81 [1091]~P2(x10913)+P8(x10911,x10912,x10913)+P8(x10914,x10912,x10913)+~P8(f24(x10911,x10914,x10913),x10912,x10913) % 1.90/1.81 [1134]~P5(x11343)+P9(x11341,x11342,x11343)+~P9(x11341,x11344,x11343)+~P9(x11341,f6(x11342,x11344,x11343),x11343) % 1.90/1.81 [1210]~P49(x12103)+~P6(x12104,x12101,x12103)+~P6(x12102,f2(x12103),x12103)+P6(f7(x12101,x12102,x12103),f7(x12104,x12102,x12103),x12103) % 1.90/1.81 [1212]~P69(x12123)+~P6(x12124,x12121,x12123)+~P6(x12122,f2(x12123),x12123)+P6(f10(x12121,x12122,x12123),f10(x12124,x12122,x12123),x12123) % 1.90/1.81 [1215]~P69(x12153)+~P6(x12154,x12152,x12153)+~P6(x12151,f2(x12153),x12153)+P6(f10(x12151,x12152,x12153),f10(x12151,x12154,x12153),x12153) % 1.90/1.81 [1216]~P68(x12163)+~P8(x12164,x12161,x12163)+~P8(x12162,f2(x12163),x12163)+P8(f10(x12161,x12162,x12163),f10(x12164,x12162,x12163),x12163) % 1.90/1.81 [1217]~P68(x12173)+~P8(x12174,x12172,x12173)+~P8(x12171,f2(x12173),x12173)+P8(f10(x12171,x12172,x12173),f10(x12171,x12174,x12173),x12173) % 1.90/1.81 [1218]~P69(x12183)+~P8(x12184,x12182,x12183)+~P6(x12181,f2(x12183),x12183)+P8(f10(x12181,x12182,x12183),f10(x12181,x12184,x12183),x12183) % 1.90/1.81 [1219]~P49(x12193)+~P6(x12191,x12194,x12193)+~P6(f2(x12193),x12192,x12193)+P6(f7(x12191,x12192,x12193),f7(x12194,x12192,x12193),x12193) % 1.90/1.81 [1220]~P69(x12203)+~P6(x12201,x12204,x12203)+~P6(f2(x12203),x12202,x12203)+P6(f10(x12201,x12202,x12203),f10(x12204,x12202,x12203),x12203) % 1.90/1.81 [1221]~P71(x12213)+~P6(x12211,x12214,x12213)+~P6(f2(x12213),x12212,x12213)+P6(f10(x12211,x12212,x12213),f10(x12214,x12212,x12213),x12213) % 1.90/1.81 [1223]~P69(x12233)+~P6(x12232,x12234,x12233)+~P6(f2(x12233),x12231,x12233)+P6(f10(x12231,x12232,x12233),f10(x12231,x12234,x12233),x12233) % 1.90/1.81 [1224]~P71(x12243)+~P6(x12242,x12244,x12243)+~P6(f2(x12243),x12241,x12243)+P6(f10(x12241,x12242,x12243),f10(x12241,x12244,x12243),x12243) % 1.90/1.81 [1225]~P65(x12253)+~P6(x12252,x12254,x12253)+~P6(f2(x12253),x12251,x12253)+P6(f10(x12251,x12252,x12253),f10(x12251,x12254,x12253),x12253) % 1.90/1.81 [1226]~P62(x12263)+~P8(x12261,x12264,x12263)+~P8(f2(x12263),x12262,x12263)+P8(f10(x12261,x12262,x12263),f10(x12264,x12262,x12263),x12263) % 1.90/1.81 [1227]~P61(x12273)+~P8(x12272,x12274,x12273)+~P8(f2(x12273),x12271,x12273)+P8(f10(x12271,x12272,x12273),f10(x12271,x12274,x12273),x12273) % 1.90/1.81 [1228]~P62(x12283)+~P8(x12282,x12284,x12283)+~P8(f2(x12283),x12281,x12283)+P8(f10(x12281,x12282,x12283),f10(x12281,x12284,x12283),x12283) % 1.90/1.81 [1229]~P69(x12293)+~P8(x12292,x12294,x12293)+~P6(f2(x12293),x12291,x12293)+P8(f10(x12291,x12292,x12293),f10(x12291,x12294,x12293),x12293) % 1.90/1.81 [1238]~P63(x12382)+P9(x12383,x12384,x12382)+~P9(f10(x12381,x12383,x12382),f10(x12381,x12384,x12382),x12382)+E(x12381,f2(x12382)) % 1.90/1.81 [1239]~P63(x12392)+P9(x12393,x12394,x12392)+~P9(f10(x12393,x12391,x12392),f10(x12394,x12391,x12392),x12392)+E(x12391,f2(x12392)) % 1.90/1.81 [1250]~P49(x12504)+~P6(f2(x12504),x12503,x12504)+~P6(f10(x12501,x12503,x12504),x12502,x12504)+P6(x12501,f7(x12502,x12503,x12504),x12504) % 1.90/1.81 [1251]~P49(x12514)+~P6(f2(x12514),x12513,x12514)+~P8(f10(x12511,x12513,x12514),x12512,x12514)+P8(x12511,f7(x12512,x12513,x12514),x12514) % 1.90/1.81 [1252]~P49(x12523)+~P6(f2(x12523),x12522,x12523)+~P6(x12521,f10(x12524,x12522,x12523),x12523)+P6(f7(x12521,x12522,x12523),x12524,x12523) % 1.90/1.81 [1253]~P49(x12533)+~P6(f2(x12533),x12532,x12533)+~P8(x12531,f10(x12534,x12532,x12533),x12533)+P8(f7(x12531,x12532,x12533),x12534,x12533) % 1.90/1.81 [1263]P6(x12632,x12631,x12633)+~P69(x12633)+P6(x12631,x12632,x12633)+~P6(f10(x12634,x12631,x12633),f10(x12634,x12632,x12633),x12633) % 1.90/1.81 [1264]P6(x12642,x12641,x12643)+~P69(x12643)+P6(x12641,x12642,x12643)+~P6(f10(x12641,x12644,x12643),f10(x12642,x12644,x12643),x12643) % 1.90/1.81 [1277]~P69(x12773)+P6(x12771,x12772,x12773)+~P6(f10(x12771,x12774,x12773),f10(x12772,x12774,x12773),x12773)+P6(x12774,f2(x12773),x12773) % 1.90/1.81 [1278]~P69(x12783)+P6(x12781,x12782,x12783)+~P6(f10(x12784,x12781,x12783),f10(x12784,x12782,x12783),x12783)+P6(x12784,f2(x12783),x12783) % 1.90/1.81 [1279]~P69(x12793)+P6(x12791,x12792,x12793)+~P6(f10(x12794,x12792,x12793),f10(x12794,x12791,x12793),x12793)+P6(f2(x12793),x12794,x12793) % 1.90/1.81 [1280]~P69(x12803)+P6(x12801,x12802,x12803)+~P6(f10(x12802,x12804,x12803),f10(x12801,x12804,x12803),x12803)+P6(f2(x12803),x12804,x12803) % 1.90/1.81 [1284]~P69(x12842)+~P6(f10(x12843,x12841,x12842),f10(x12844,x12841,x12842),x12842)+P6(x12841,f2(x12842),x12842)+P6(f2(x12842),x12841,x12842) % 1.90/1.81 [1285]~P69(x12852)+~P6(f10(x12851,x12853,x12852),f10(x12851,x12854,x12852),x12852)+P6(x12851,f2(x12852),x12852)+P6(f2(x12852),x12851,x12852) % 1.90/1.81 [1296]~P69(x12963)+P6(x12961,x12962,x12963)+~P6(f10(x12964,x12962,x12963),f10(x12964,x12961,x12963),x12963)+~P6(x12964,f2(x12963),x12963) % 1.90/1.81 [1297]~P69(x12973)+P8(x12971,x12972,x12973)+~P8(f10(x12974,x12972,x12973),f10(x12974,x12971,x12973),x12973)+~P6(x12974,f2(x12973),x12973) % 1.90/1.81 [1298]~P69(x12983)+P6(x12981,x12982,x12983)+~P6(f10(x12984,x12981,x12983),f10(x12984,x12982,x12983),x12983)+~P6(f2(x12983),x12984,x12983) % 1.90/1.81 [1299]~P71(x12993)+P6(x12991,x12992,x12993)+~P6(f10(x12994,x12991,x12993),f10(x12994,x12992,x12993),x12993)+~P8(f2(x12993),x12994,x12993) % 1.90/1.81 [1300]~P71(x13003)+P6(x13001,x13002,x13003)+~P6(f10(x13001,x13004,x13003),f10(x13002,x13004,x13003),x13003)+~P8(f2(x13003),x13004,x13003) % 1.90/1.81 [1301]~P73(x13013)+P6(x13011,x13012,x13013)+~P6(f10(x13014,x13011,x13013),f10(x13014,x13012,x13013),x13013)+~P8(f2(x13013),x13014,x13013) % 1.90/1.81 [1302]~P73(x13023)+P6(x13021,x13022,x13023)+~P6(f10(x13021,x13024,x13023),f10(x13022,x13024,x13023),x13023)+~P8(f2(x13023),x13024,x13023) % 1.90/1.81 [1303]~P69(x13033)+P8(x13031,x13032,x13033)+~P8(f10(x13034,x13031,x13033),f10(x13034,x13032,x13033),x13033)+~P6(f2(x13033),x13034,x13033) % 1.90/1.81 [1304]~P71(x13043)+P8(x13041,x13042,x13043)+~P8(f10(x13044,x13041,x13043),f10(x13044,x13042,x13043),x13043)+~P6(f2(x13043),x13044,x13043) % 1.90/1.81 [1305]~P71(x13053)+P8(x13051,x13052,x13053)+~P8(f10(x13051,x13054,x13053),f10(x13052,x13054,x13053),x13053)+~P6(f2(x13053),x13054,x13053) % 1.90/1.81 [1025]~P50(x10252)+~P51(x10252)+E(x10251,f2(x10252))+E(f7(f10(x10253,x10251,x10252),f10(x10254,x10251,x10252),x10252),f7(x10253,x10254,x10252)) % 1.90/1.81 [1026]~P50(x10262)+~P51(x10262)+E(x10261,f2(x10262))+E(f7(f10(x10261,x10263,x10262),f10(x10261,x10264,x10262),x10262),f7(x10263,x10264,x10262)) % 1.90/1.81 [1232]~P53(x12322)+E(x12321,f2(x12322))+~P8(x12323,f2(a1),a1)+~P8(f26(x12321,x12322),f10(x12323,f26(x12324,x12322),a1),a1) % 1.90/1.81 [1366]~P70(x13663)+~P6(x13661,f11(x13662,x13664,x13663),x13663)+~P6(f8(x13662,x13664,x13663),x13661,x13663)+P6(f5(f8(x13661,x13662,x13663),x13663),x13664,x13663) % 1.90/1.81 [1376]~P6(f10(x13764,x13761,a1),f10(x13762,x13763,a1),a1)+~P6(f2(a1),x13764,a1)+~P6(f2(a1),x13762,a1)+P6(f10(x13761,f4(x13762,a1),a1),f10(x13763,f4(x13764,a1),a1),a1) % 1.90/1.81 [1377]~P6(f10(x13773,x13772,a1),f10(x13771,x13774,a1),a1)+~P6(f2(a1),x13773,a1)+~P6(f2(a1),x13771,a1)+P6(f10(f4(x13771,a1),x13772,a1),f10(f4(x13773,a1),x13774,a1),a1) % 1.90/1.81 [1289]~P50(x12892)+~P51(x12892)+E(x12891,f2(x12892))+E(f7(f11(x12893,f10(x12894,x12891,x12892),x12892),x12891,x12892),f11(x12894,f7(x12893,x12891,x12892),x12892)) % 1.90/1.81 [1290]~P50(x12902)+~P51(x12902)+E(x12901,f2(x12902))+E(f7(f11(x12903,f10(x12904,x12901,x12902),x12902),x12901,x12902),f11(f7(x12903,x12901,x12902),x12904,x12902)) % 1.90/1.81 [1397]~P1(x13972)+E(x13971,f2(x13972))+E(x13973,f2(x13972))+E(f9(f10(f10(f4(x13973,x13972),f7(f8(x13973,x13971,x13972),x13974,x13972),x13972),f4(x13971,x13972),x13972),x13972),f7(f8(f4(x13973,x13972),f4(x13971,x13972),x13972),x13974,x13972)) % 1.90/1.81 [942]~P27(x9423)+~P6(x9424,x9425,x9423)+P6(x9421,x9422,x9423)+~E(f8(x9424,x9425,x9423),f8(x9421,x9422,x9423)) % 1.90/1.81 [943]~P27(x9433)+~P6(x9434,x9435,x9433)+P6(x9431,x9432,x9433)+~E(f8(x9431,x9432,x9433),f8(x9434,x9435,x9433)) % 1.90/1.81 [944]~P27(x9443)+~P8(x9445,x9444,x9443)+P8(x9441,x9442,x9443)+~E(f8(x9444,x9445,x9443),f8(x9442,x9441,x9443)) % 1.90/1.81 [945]~P27(x9453)+~P8(x9455,x9454,x9453)+P8(x9451,x9452,x9453)+~E(f8(x9452,x9451,x9453),f8(x9454,x9455,x9453)) % 1.90/1.81 [1199]~P37(x11993)+~P6(x11992,x11995,x11993)+~P6(x11991,x11994,x11993)+P6(f11(x11991,x11992,x11993),f11(x11994,x11995,x11993),x11993) % 1.90/1.81 [1200]~P37(x12003)+~P6(x12002,x12005,x12003)+~P8(x12001,x12004,x12003)+P6(f11(x12001,x12002,x12003),f11(x12004,x12005,x12003),x12003) % 1.90/1.81 [1201]~P37(x12013)+~P6(x12011,x12014,x12013)+~P8(x12012,x12015,x12013)+P6(f11(x12011,x12012,x12013),f11(x12014,x12015,x12013),x12013) % 1.90/1.81 [1202]~P35(x12023)+~P8(x12022,x12025,x12023)+~P8(x12021,x12024,x12023)+P8(f11(x12021,x12022,x12023),f11(x12024,x12025,x12023),x12023) % 1.90/1.81 [1203]~P54(x12033)+~P9(x12032,x12035,x12033)+~P9(x12031,x12034,x12033)+P9(f10(x12031,x12032,x12033),f10(x12034,x12035,x12033),x12033) % 1.90/1.81 [1245]~P27(x12454)+~P8(x12455,x12453,x12454)+~P8(x12451,f11(x12452,x12455,x12454),x12454)+P8(x12451,f11(x12452,x12453,x12454),x12454) % 1.90/1.81 [1327]~P70(x13272)+~P6(f5(x13271,x13272),x13274,x13272)+~P6(f5(x13273,x13272),x13275,x13272)+P6(f10(f5(x13271,x13272),f5(x13273,x13272),x13272),f10(x13274,x13275,x13272),x13272) % 1.90/1.81 [1339]~P45(x13393)+~P6(f26(x13392,x13393),x13395,a1)+~P6(f26(x13391,x13393),x13394,a1)+P6(f26(f10(x13391,x13392,x13393),x13393),f10(x13394,x13395,a1),a1) % 1.90/1.81 [1340]~P53(x13403)+~P6(f26(x13402,x13403),x13405,a1)+~P6(f26(x13401,x13403),x13404,a1)+P6(f26(f11(x13401,x13402,x13403),x13403),f11(x13404,x13405,a1),a1) % 1.90/1.81 [1381]~P50(x13812)+E(x13811,f2(x13812))+E(x13813,f2(x13812))+E(f7(f8(f10(x13814,x13811,x13812),f10(x13815,x13813,x13812),x13812),f10(x13813,x13811,x13812),x13812),f8(f7(x13814,x13813,x13812),f7(x13815,x13811,x13812),x13812)) % 1.90/1.81 [1382]~P50(x13822)+E(x13821,f2(x13822))+E(x13823,f2(x13822))+E(f7(f11(f10(x13824,x13821,x13822),f10(x13825,x13823,x13822),x13822),f10(x13823,x13821,x13822),x13822),f11(f7(x13824,x13823,x13822),f7(x13825,x13821,x13822),x13822)) % 1.90/1.81 [1341]~P10(x13413)+~E(f6(x13411,x13414,x13413),f6(x13415,x13414,x13413))+~E(f6(x13412,x13414,x13413),f6(x13416,x13414,x13413))+E(f6(f8(x13411,x13412,x13413),x13414,x13413),f6(f8(x13415,x13416,x13413),x13414,x13413)) % 1.90/1.81 [1342]~P5(x13423)+~E(f6(x13421,x13424,x13423),f6(x13425,x13424,x13423))+~E(f6(x13422,x13424,x13423),f6(x13426,x13424,x13423))+E(f6(f10(x13421,x13422,x13423),x13424,x13423),f6(f10(x13425,x13426,x13423),x13424,x13423)) % 1.90/1.81 [1343]~P5(x13433)+~E(f6(x13431,x13434,x13433),f6(x13435,x13434,x13433))+~E(f6(x13432,x13434,x13433),f6(x13436,x13434,x13433))+E(f6(f11(x13431,x13432,x13433),x13434,x13433),f6(f11(x13435,x13436,x13433),x13434,x13433)) % 1.90/1.81 [877]~P49(x8772)+~P51(x8772)+P6(f3(x8772),x8771,x8772)+~P6(f4(x8771,x8772),f3(x8772),x8772)+P8(x8771,f2(x8772),x8772) % 1.90/1.81 [878]~P49(x8782)+~P51(x8782)+P8(f3(x8782),x8781,x8782)+~P8(f4(x8781,x8782),f3(x8782),x8782)+P8(x8781,f2(x8782),x8782) % 1.90/1.81 [895]~P49(x8951)+~P51(x8951)+~P6(f2(x8951),x8952,x8951)+~P6(x8952,f3(x8951),x8951)+P6(f3(x8951),f4(x8952,x8951),x8951) % 1.90/1.81 [896]~P49(x8961)+~P51(x8961)+~P6(f2(x8961),x8962,x8961)+~P8(x8962,f3(x8961),x8961)+P8(f3(x8961),f4(x8962,x8961),x8961) % 1.90/1.81 [395]~P59(x3953)+E(x3951,x3952)+~E(f4(x3951,x3953),f4(x3952,x3953))+E(x3952,f2(x3953))+E(x3951,f2(x3953)) % 1.90/1.81 [901]~P36(x9012)+~P8(f2(x9012),x9011,x9012)+~P8(f2(x9012),x9013,x9012)+~E(f11(x9013,x9011,x9012),f2(x9012))+E(x9011,f2(x9012)) % 1.90/1.81 [902]~P36(x9022)+~P8(f2(x9022),x9023,x9022)+~P8(f2(x9022),x9021,x9022)+~E(f11(x9021,x9023,x9022),f2(x9022))+E(x9021,f2(x9022)) % 1.90/1.81 [1093]~P49(x10931)+~P51(x10931)+~P8(x10933,f2(x10931),x10931)+~P8(x10932,f2(x10931),x10931)+P8(f2(x10931),f7(x10932,x10933,x10931),x10931) % 1.90/1.81 [1095]~P49(x10951)+~P51(x10951)+~P8(f2(x10951),x10953,x10951)+~P8(f2(x10951),x10952,x10951)+P8(f2(x10951),f7(x10952,x10953,x10951),x10951) % 1.90/1.81 [1098]~P49(x10983)+~P51(x10983)+~P8(x10982,f2(x10983),x10983)+~P8(f2(x10983),x10981,x10983)+P8(f7(x10981,x10982,x10983),f2(x10983),x10983) % 1.90/1.81 [1099]~P49(x10993)+~P51(x10993)+~P8(x10991,f2(x10993),x10993)+~P8(f2(x10993),x10992,x10993)+P8(f7(x10991,x10992,x10993),f2(x10993),x10993) % 1.90/1.81 [1116]~P49(x11162)+~P51(x11162)+~P6(f7(x11163,x11161,x11162),f2(x11162),x11162)+P6(x11161,f2(x11162),x11162)+P6(x11163,f2(x11162),x11162) % 1.90/1.81 [1117]~P49(x11172)+~P51(x11172)+~P8(f7(x11173,x11171,x11172),f2(x11172),x11172)+P8(x11171,f2(x11172),x11172)+P8(x11173,f2(x11172),x11172) % 1.90/1.81 [1118]~P49(x11182)+~P51(x11182)+~P6(f2(x11182),f7(x11183,x11181,x11182),x11182)+P6(x11181,f2(x11182),x11182)+P6(f2(x11182),x11183,x11182) % 1.90/1.81 [1119]~P49(x11192)+~P51(x11192)+~P6(f2(x11192),f7(x11191,x11193,x11192),x11192)+P6(x11191,f2(x11192),x11192)+P6(f2(x11192),x11193,x11192) % 1.90/1.81 [1120]~P49(x11202)+~P51(x11202)+~P6(f2(x11202),f7(x11203,x11201,x11202),x11202)+P6(x11201,f2(x11202),x11202)+P6(f2(x11202),x11201,x11202) % 1.90/1.81 [1121]~P49(x11212)+~P51(x11212)+~P6(f2(x11212),f7(x11211,x11213,x11212),x11212)+P6(x11211,f2(x11212),x11212)+P6(f2(x11212),x11211,x11212) % 1.90/1.81 [1122]~P49(x11222)+~P51(x11222)+~P8(f2(x11222),f7(x11223,x11221,x11222),x11222)+P8(x11221,f2(x11222),x11222)+P8(f2(x11222),x11223,x11222) % 1.90/1.81 [1123]~P49(x11232)+~P51(x11232)+~P8(f2(x11232),f7(x11231,x11233,x11232),x11232)+P8(x11231,f2(x11232),x11232)+P8(f2(x11232),x11233,x11232) % 1.90/1.81 [1124]~P49(x11242)+~P51(x11242)+~P8(f2(x11242),f7(x11243,x11241,x11242),x11242)+P8(x11241,f2(x11242),x11242)+P8(f2(x11242),x11241,x11242) % 1.90/1.81 [1125]~P49(x11252)+~P51(x11252)+~P8(f2(x11252),f7(x11251,x11253,x11252),x11252)+P8(x11251,f2(x11252),x11252)+P8(f2(x11252),x11251,x11252) % 1.90/1.81 [1126]~P49(x11262)+~P51(x11262)+~P6(f7(x11263,x11261,x11262),f2(x11262),x11262)+P6(x11261,f2(x11262),x11262)+P6(f2(x11262),x11261,x11262) % 1.90/1.81 [1127]~P49(x11272)+~P51(x11272)+~P6(f7(x11271,x11273,x11272),f2(x11272),x11272)+P6(x11271,f2(x11272),x11272)+P6(f2(x11272),x11271,x11272) % 1.90/1.81 [1128]~P49(x11282)+~P51(x11282)+~P8(f7(x11283,x11281,x11282),f2(x11282),x11282)+P8(x11281,f2(x11282),x11282)+P8(f2(x11282),x11281,x11282) % 1.90/1.81 [1129]~P49(x11292)+~P51(x11292)+~P8(f7(x11291,x11293,x11292),f2(x11292),x11292)+P8(x11291,f2(x11292),x11292)+P8(f2(x11292),x11291,x11292) % 1.90/1.81 [1130]~P49(x11301)+~P51(x11301)+~P6(f7(x11302,x11303,x11301),f2(x11301),x11301)+P6(f2(x11301),x11302,x11301)+P6(f2(x11301),x11303,x11301) % 1.90/1.81 [1131]~P49(x11311)+~P51(x11311)+~P8(f7(x11312,x11313,x11311),f2(x11311),x11311)+P8(f2(x11311),x11312,x11311)+P8(f2(x11311),x11313,x11311) % 1.90/1.81 [1208]~P70(x12083)+~P8(x12081,f3(x12083),x12083)+~P8(f2(x12083),x12082,x12083)+~P8(f2(x12083),x12081,x12083)+P8(f10(x12081,x12082,x12083),x12082,x12083) % 1.90/1.81 [1209]~P70(x12093)+~P8(x12092,f3(x12093),x12093)+~P8(f2(x12093),x12092,x12093)+~P8(f2(x12093),x12091,x12093)+P8(f10(x12091,x12092,x12093),x12091,x12093) % 1.90/1.81 [1036]~P34(x10364)+~P22(x10364)+~P6(x10361,x10363,x10364)+~P8(f2(x10364),x10362,x10364)+P6(x10361,f11(x10362,x10363,x10364),x10364) % 1.90/1.81 [1037]~P34(x10374)+~P22(x10374)+~P8(x10371,x10373,x10374)+~P6(f2(x10374),x10372,x10374)+P6(x10371,f11(x10372,x10373,x10374),x10374) % 1.90/1.81 [1038]~P34(x10384)+~P22(x10384)+~P8(x10381,x10383,x10384)+~P8(f2(x10384),x10382,x10384)+P8(x10381,f11(x10382,x10383,x10384),x10384) % 1.90/1.81 [1039]~P34(x10394)+~P22(x10394)+~P8(x10391,x10392,x10394)+~P8(f2(x10394),x10393,x10394)+P8(x10391,f11(x10392,x10393,x10394),x10394) % 1.90/1.81 [1230]~P49(x12303)+~P51(x12303)+~P8(x12304,x12301,x12303)+~P8(x12302,f2(x12303),x12303)+P8(f7(x12301,x12302,x12303),f7(x12304,x12302,x12303),x12303) % 1.90/1.81 [1231]~P49(x12313)+~P51(x12313)+~P8(x12311,x12314,x12313)+~P8(f2(x12313),x12312,x12313)+P8(f7(x12311,x12312,x12313),f7(x12314,x12312,x12313),x12313) % 1.90/1.81 [1255]~P49(x12554)+~P51(x12554)+~P6(f2(x12554),x12553,x12554)+~P6(f7(x12551,x12553,x12554),x12552,x12554)+P6(x12551,f10(x12552,x12553,x12554),x12554) % 1.90/1.81 [1257]~P49(x12574)+~P51(x12574)+~P6(f2(x12574),x12573,x12574)+~P8(f7(x12571,x12573,x12574),x12572,x12574)+P8(x12571,f10(x12572,x12573,x12574),x12574) % 1.90/1.81 [1259]~P49(x12593)+~P51(x12593)+~P6(f2(x12593),x12592,x12593)+~P6(x12591,f7(x12594,x12592,x12593),x12593)+P6(f10(x12591,x12592,x12593),x12594,x12593) % 1.90/1.81 [1261]~P49(x12613)+~P51(x12613)+~P6(f2(x12613),x12612,x12613)+~P8(x12611,f7(x12614,x12612,x12613),x12613)+P8(f10(x12611,x12612,x12613),x12614,x12613) % 1.90/1.81 [1348]~P49(x13483)+~P6(x13482,x13484,x13483)+~P6(x13481,f2(x13483),x13483)+~P6(f2(x13483),f10(x13482,x13484,x13483),x13483)+P6(f7(x13481,x13482,x13483),f7(x13481,x13484,x13483),x13483) % 1.90/1.81 [1349]~P49(x13493)+~P6(x13494,x13492,x13493)+~P6(f2(x13493),x13491,x13493)+~P6(f2(x13493),f10(x13492,x13494,x13493),x13493)+P6(f7(x13491,x13492,x13493),f7(x13491,x13494,x13493),x13493) % 1.90/1.81 [1350]~P49(x13503)+~P8(x13504,x13502,x13503)+~P8(f2(x13503),x13501,x13503)+~P6(f2(x13503),f10(x13502,x13504,x13503),x13503)+P8(f7(x13501,x13502,x13503),f7(x13501,x13504,x13503),x13503) % 1.90/1.81 [903]~P50(x9032)+~E(f10(x9034,x9033,x9032),f10(x9035,x9031,x9032))+E(f7(x9034,x9031,x9032),f7(x9035,x9033,x9032))+E(x9031,f2(x9032))+E(x9033,f2(x9032)) % 1.90/1.81 [904]~P50(x9042)+~E(f7(x9044,x9043,x9042),f7(x9045,x9041,x9042))+E(f10(x9044,x9041,x9042),f10(x9045,x9043,x9042))+E(x9041,f2(x9042))+E(x9043,f2(x9042)) % 1.90/1.81 [1262]~P63(x12624)+~P4(x12624)+E(x12621,x12622)+E(x12623,f2(x12624))+~E(f11(x12625,f10(x12623,x12621,x12624),x12624),f11(x12625,f10(x12623,x12622,x12624),x12624)) % 1.90/1.81 [1368]~P63(x13685)+~P4(x13685)+E(x13681,x13682)+E(x13683,x13684)+~E(f11(f10(x13683,x13681,x13685),f10(x13684,x13682,x13685),x13685),f11(f10(x13683,x13682,x13685),f10(x13684,x13681,x13685),x13685)) % 1.90/1.81 [1387]~P60(x13875)+~P55(x13875)+~P9(x13871,x13874,x13875)+~P9(x13871,f11(x13872,x13876,x13875),x13875)+P9(x13871,f11(f8(x13872,f10(x13873,x13874,x13875),x13875),x13876,x13875),x13875) % 1.90/1.81 [1388]~P60(x13884)+~P55(x13884)+~P9(x13881,x13885,x13884)+P9(x13881,f11(x13882,x13883,x13884),x13884)+~P9(x13881,f11(f8(x13882,f10(x13886,x13885,x13884),x13884),x13883,x13884),x13884) % 1.90/1.81 [1111]~P49(x11112)+~P51(x11112)+P6(x11111,f2(x11112),x11112)+P6(f2(x11112),x11111,x11112)+~P6(x11113,f2(x11112),x11112)+P6(x11113,f7(x11114,x11111,x11112),x11112) % 1.90/1.81 [1112]~P49(x11122)+~P51(x11122)+P6(x11121,f2(x11122),x11122)+P6(f2(x11122),x11121,x11122)+~P8(x11123,f2(x11122),x11122)+P8(x11123,f7(x11124,x11121,x11122),x11122) % 1.90/1.81 [1113]~P49(x11132)+~P51(x11132)+P6(x11131,f2(x11132),x11132)+P6(f2(x11132),x11131,x11132)+~P6(f2(x11132),x11134,x11132)+P6(f7(x11133,x11131,x11132),x11134,x11132) % 1.90/1.81 [1114]~P49(x11142)+~P51(x11142)+P6(x11141,f2(x11142),x11142)+P6(f2(x11142),x11141,x11142)+~P8(f2(x11142),x11144,x11142)+P8(f7(x11143,x11141,x11142),x11144,x11142) % 1.90/1.81 [1204]~P49(x12042)+~P51(x12042)+P6(x12041,f2(x12042),x12042)+P6(f2(x12042),x12041,x12042)+~P6(x12043,f7(x12044,x12041,x12042),x12042)+P6(x12043,f2(x12042),x12042) % 1.90/1.81 [1205]~P49(x12052)+~P51(x12052)+P6(x12051,f2(x12052),x12052)+P6(f2(x12052),x12051,x12052)+~P8(x12053,f7(x12054,x12051,x12052),x12052)+P8(x12053,f2(x12052),x12052) % 1.90/1.81 [1206]~P49(x12062)+~P51(x12062)+P6(x12061,f2(x12062),x12062)+P6(f2(x12062),x12061,x12062)+~P6(f7(x12064,x12061,x12062),x12063,x12062)+P6(f2(x12062),x12063,x12062) % 1.90/1.81 [1207]~P49(x12072)+~P51(x12072)+P6(x12071,f2(x12072),x12072)+P6(f2(x12072),x12071,x12072)+~P8(f7(x12074,x12071,x12072),x12073,x12072)+P8(f2(x12072),x12073,x12072) % 1.90/1.81 [1306]~P49(x13062)+~P51(x13062)+~P6(f10(x13063,x13061,x13062),x13064,x13062)+P6(x13061,f2(x13062),x13062)+~P6(x13063,f2(x13062),x13062)+P6(x13063,f7(x13064,x13061,x13062),x13062) % 1.90/1.81 [1307]~P49(x13072)+~P51(x13072)+~P8(f10(x13073,x13071,x13072),x13074,x13072)+P6(x13071,f2(x13072),x13072)+~P8(x13073,f2(x13072),x13072)+P8(x13073,f7(x13074,x13071,x13072),x13072) % 1.90/1.81 [1308]~P49(x13082)+~P51(x13082)+~P6(x13083,f10(x13084,x13081,x13082),x13082)+P6(x13081,f2(x13082),x13082)+~P6(f2(x13082),x13084,x13082)+P6(f7(x13083,x13081,x13082),x13084,x13082) % 1.90/1.81 [1309]~P49(x13092)+~P51(x13092)+~P8(x13093,f10(x13094,x13091,x13092),x13092)+P6(x13091,f2(x13092),x13092)+~P8(f2(x13092),x13094,x13092)+P8(f7(x13093,x13091,x13092),x13094,x13092) % 1.90/1.81 [1310]~P49(x13101)+~P51(x13101)+~P6(x13104,f10(x13103,x13102,x13101),x13101)+~P6(x13102,f2(x13101),x13101)+P6(f2(x13101),x13102,x13101)+P6(x13103,f7(x13104,x13102,x13101),x13101) % 1.90/1.81 [1311]~P49(x13111)+~P51(x13111)+~P6(x13114,f10(x13113,x13112,x13111),x13111)+~P6(x13113,f2(x13111),x13111)+P6(f2(x13111),x13112,x13111)+P6(x13113,f7(x13114,x13112,x13111),x13111) % 1.90/1.81 [1312]~P49(x13121)+~P51(x13121)+~P6(x13124,f7(x13123,x13122,x13121),x13121)+~P6(x13122,f2(x13121),x13121)+P6(f2(x13121),x13122,x13121)+P6(x13123,f10(x13124,x13122,x13121),x13121) % 1.90/1.81 [1313]~P49(x13131)+~P51(x13131)+~P8(x13134,f10(x13133,x13132,x13131),x13131)+~P6(x13132,f2(x13131),x13131)+P6(f2(x13131),x13132,x13131)+P8(x13133,f7(x13134,x13132,x13131),x13131) % 1.90/1.81 [1314]~P49(x13141)+~P51(x13141)+~P8(x13144,f10(x13143,x13142,x13141),x13141)+~P8(x13143,f2(x13141),x13141)+P6(f2(x13141),x13142,x13141)+P8(x13143,f7(x13144,x13142,x13141),x13141) % 1.90/1.81 [1315]~P49(x13151)+~P51(x13151)+~P8(x13154,f7(x13153,x13152,x13151),x13151)+~P6(x13152,f2(x13151),x13151)+P6(f2(x13151),x13152,x13151)+P8(x13153,f10(x13154,x13152,x13151),x13151) % 1.90/1.81 [1316]~P49(x13161)+~P51(x13161)+~P6(f10(x13164,x13162,x13161),x13163,x13161)+~P6(x13162,f2(x13161),x13161)+P6(f2(x13161),x13162,x13161)+P6(f7(x13163,x13162,x13161),x13164,x13161) % 1.90/1.81 [1317]~P49(x13171)+~P51(x13171)+~P6(f7(x13174,x13172,x13171),x13173,x13171)+~P6(x13172,f2(x13171),x13171)+P6(f2(x13171),x13172,x13171)+P6(f10(x13173,x13172,x13171),x13174,x13171) % 1.90/1.81 [1318]~P49(x13181)+~P51(x13181)+~P8(f10(x13184,x13182,x13181),x13183,x13181)+~P6(x13182,f2(x13181),x13181)+P6(f2(x13181),x13182,x13181)+P8(f7(x13183,x13182,x13181),x13184,x13181) % 1.90/1.81 [1319]~P49(x13191)+~P51(x13191)+~P8(f7(x13194,x13192,x13191),x13193,x13191)+~P6(x13192,f2(x13191),x13191)+P6(f2(x13191),x13192,x13191)+P8(f10(x13193,x13192,x13191),x13194,x13191) % 1.90/1.81 [1320]~P49(x13201)+~P51(x13201)+~P6(f10(x13204,x13202,x13201),x13203,x13201)+~P6(f2(x13201),x13204,x13201)+P6(f2(x13201),x13202,x13201)+P6(f7(x13203,x13202,x13201),x13204,x13201) % 1.90/1.81 [1321]~P49(x13211)+~P51(x13211)+~P8(f10(x13214,x13212,x13211),x13213,x13211)+~P8(f2(x13211),x13214,x13211)+P6(f2(x13211),x13212,x13211)+P8(f7(x13213,x13212,x13211),x13214,x13211) % 1.90/1.81 [1351]~P49(x13513)+~P51(x13513)+~P8(x13512,x13514,x13513)+~P8(x13511,f2(x13513),x13513)+~P6(f2(x13513),f10(x13512,x13514,x13513),x13513)+P8(f7(x13511,x13512,x13513),f7(x13511,x13514,x13513),x13513) % 1.90/1.81 [1358]~P49(x13584)+~P51(x13584)+~P6(x13583,f2(x13584),x13584)+~P6(x13582,f10(x13581,x13583,x13584),x13584)+~P6(f10(x13581,x13583,x13584),x13582,x13584)+P6(x13581,f7(x13582,x13583,x13584),x13584) % 1.90/1.81 [1359]~P49(x13594)+~P51(x13594)+~P6(x13591,f2(x13594),x13594)+~P6(x13592,f10(x13591,x13593,x13594),x13594)+~P6(f10(x13591,x13593,x13594),x13592,x13594)+P6(x13591,f7(x13592,x13593,x13594),x13594) % 1.90/1.81 [1360]~P49(x13604)+~P51(x13604)+~P6(x13603,f2(x13604),x13604)+~P8(x13602,f10(x13601,x13603,x13604),x13604)+~P8(f10(x13601,x13603,x13604),x13602,x13604)+P8(x13601,f7(x13602,x13603,x13604),x13604) % 1.90/1.81 [1361]~P49(x13614)+~P51(x13614)+~P8(x13611,f2(x13614),x13614)+~P8(x13612,f10(x13611,x13613,x13614),x13614)+~P8(f10(x13611,x13613,x13614),x13612,x13614)+P8(x13611,f7(x13612,x13613,x13614),x13614) % 1.90/1.81 [1362]~P49(x13623)+~P51(x13623)+~P6(x13622,f2(x13623),x13623)+~P6(x13621,f10(x13624,x13622,x13623),x13623)+~P6(f10(x13624,x13622,x13623),x13621,x13623)+P6(f7(x13621,x13622,x13623),x13624,x13623) % 1.90/1.81 [1363]~P49(x13633)+~P51(x13633)+~P6(x13632,f2(x13633),x13633)+~P8(x13631,f10(x13634,x13632,x13633),x13633)+~P8(f10(x13634,x13632,x13633),x13631,x13633)+P8(f7(x13631,x13632,x13633),x13634,x13633) % 1.90/1.81 [1364]~P49(x13643)+~P51(x13643)+~P6(f2(x13643),x13644,x13643)+~P6(x13641,f10(x13644,x13642,x13643),x13643)+~P6(f10(x13644,x13642,x13643),x13641,x13643)+P6(f7(x13641,x13642,x13643),x13644,x13643) % 1.90/1.81 [1365]~P49(x13653)+~P51(x13653)+~P8(f2(x13653),x13654,x13653)+~P8(x13651,f10(x13654,x13652,x13653),x13653)+~P8(f10(x13654,x13652,x13653),x13651,x13653)+P8(f7(x13651,x13652,x13653),x13654,x13653) % 1.90/1.81 [1328]~P49(x13283)+~P6(x13285,x13282,x13283)+~P8(x13281,x13284,x13283)+~P6(f2(x13283),x13285,x13283)+~P6(f2(x13283),x13281,x13283)+P6(f7(x13281,x13282,x13283),f7(x13284,x13285,x13283),x13283) % 1.90/1.81 [1329]~P49(x13293)+~P6(x13291,x13294,x13293)+~P8(x13295,x13292,x13293)+~P6(f2(x13293),x13295,x13293)+~P8(f2(x13293),x13291,x13293)+P6(f7(x13291,x13292,x13293),f7(x13294,x13295,x13293),x13293) % 1.90/1.81 [1330]~P71(x13303)+~P6(x13302,x13305,x13303)+~P6(x13301,x13304,x13303)+~P6(f2(x13303),x13304,x13303)+~P8(f2(x13303),x13302,x13303)+P6(f10(x13301,x13302,x13303),f10(x13304,x13305,x13303),x13303) % 1.90/1.81 [1331]~P71(x13313)+~P6(x13312,x13315,x13313)+~P6(x13311,x13314,x13313)+~P8(f2(x13313),x13312,x13313)+~P8(f2(x13313),x13311,x13313)+P6(f10(x13311,x13312,x13313),f10(x13314,x13315,x13313),x13313) % 1.90/1.81 [1332]~P71(x13323)+~P6(x13322,x13325,x13323)+~P8(x13321,x13324,x13323)+~P6(f2(x13323),x13321,x13323)+~P8(f2(x13323),x13322,x13323)+P6(f10(x13321,x13322,x13323),f10(x13324,x13325,x13323),x13323) % 1.90/1.81 [1333]~P71(x13333)+~P6(x13331,x13334,x13333)+~P8(x13332,x13335,x13333)+~P6(f2(x13333),x13332,x13333)+~P8(f2(x13333),x13331,x13333)+P6(f10(x13331,x13332,x13333),f10(x13334,x13335,x13333),x13333) % 1.90/1.81 [1334]~P49(x13343)+~P8(x13345,x13342,x13343)+~P8(x13341,x13344,x13343)+~P6(f2(x13343),x13345,x13343)+~P8(f2(x13343),x13341,x13343)+P8(f7(x13341,x13342,x13343),f7(x13344,x13345,x13343),x13343) % 1.90/1.81 [1335]~P77(x13353)+~P8(x13352,x13355,x13353)+~P8(x13351,x13354,x13353)+~P8(f2(x13353),x13354,x13353)+~P8(f2(x13353),x13352,x13353)+P8(f10(x13351,x13352,x13353),f10(x13354,x13355,x13353),x13353) % 1.90/1.81 [1336]~P77(x13363)+~P8(x13362,x13365,x13363)+~P8(x13361,x13364,x13363)+~P8(f2(x13363),x13362,x13363)+~P8(f2(x13363),x13361,x13363)+P8(f10(x13361,x13362,x13363),f10(x13364,x13365,x13363),x13363) % 1.90/1.81 [1403]~P64(x14033)+~P8(x14037,x14032,x14033)+~P8(x14036,x14031,x14033)+~P8(x14032,x14035,x14033)+~P8(x14031,x14034,x14033)+P8(f10(x14031,x14032,x14033),f11(f11(f11(f10(f21(x14034,x14033),f21(x14035,x14033),x14033),f10(f21(x14036,x14033),f22(x14035,x14033),x14033),x14033),f10(f22(x14034,x14033),f21(x14037,x14033),x14033),x14033),f10(f22(x14036,x14033),f22(x14037,x14033),x14033),x14033),x14033) % 1.90/1.81 [1404]~P64(x14042)+~P8(x14047,x14043,x14042)+~P8(x14046,x14044,x14042)+~P8(x14045,x14047,x14042)+~P8(x14041,x14046,x14042)+P8(f11(f11(f11(f10(f22(x14041,x14042),f21(x14043,x14042),x14042),f10(f22(x14044,x14042),f22(x14043,x14042),x14042),x14042),f10(f21(x14041,x14042),f21(x14045,x14042),x14042),x14042),f10(f21(x14044,x14042),f22(x14045,x14042),x14042),x14042),f10(x14046,x14047,x14042),x14042) % 1.90/1.81 %EqnAxiom % 1.90/1.81 [1]E(x11,x11) % 1.90/1.81 [2]E(x22,x21)+~E(x21,x22) % 1.90/1.81 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 1.90/1.81 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 1.90/1.81 [5]~E(x51,x52)+E(f29(x51),f29(x52)) % 1.90/1.81 [6]~E(x61,x62)+E(f30(x61),f30(x62)) % 1.90/1.81 [7]~E(x71,x72)+E(f10(x71,x73,x74),f10(x72,x73,x74)) % 1.90/1.81 [8]~E(x81,x82)+E(f10(x83,x81,x84),f10(x83,x82,x84)) % 1.90/1.81 [9]~E(x91,x92)+E(f10(x93,x94,x91),f10(x93,x94,x92)) % 1.90/1.81 [10]~E(x101,x102)+E(f11(x101,x103,x104),f11(x102,x103,x104)) % 1.90/1.81 [11]~E(x111,x112)+E(f11(x113,x111,x114),f11(x113,x112,x114)) % 1.90/1.81 [12]~E(x121,x122)+E(f11(x123,x124,x121),f11(x123,x124,x122)) % 1.90/1.81 [13]~E(x131,x132)+E(f13(x131),f13(x132)) % 1.90/1.81 [14]~E(x141,x142)+E(f7(x141,x143,x144),f7(x142,x143,x144)) % 1.90/1.81 [15]~E(x151,x152)+E(f7(x153,x151,x154),f7(x153,x152,x154)) % 1.90/1.81 [16]~E(x161,x162)+E(f7(x163,x164,x161),f7(x163,x164,x162)) % 1.90/1.81 [17]~E(x171,x172)+E(f3(x171),f3(x172)) % 1.90/1.82 [18]~E(x181,x182)+E(f14(x181,x183),f14(x182,x183)) % 1.90/1.82 [19]~E(x191,x192)+E(f14(x193,x191),f14(x193,x192)) % 1.90/1.82 [20]~E(x201,x202)+E(f24(x201,x203,x204),f24(x202,x203,x204)) % 1.90/1.82 [21]~E(x211,x212)+E(f24(x213,x211,x214),f24(x213,x212,x214)) % 1.90/1.82 [22]~E(x221,x222)+E(f24(x223,x224,x221),f24(x223,x224,x222)) % 1.90/1.82 [23]~E(x231,x232)+E(f22(x231,x233),f22(x232,x233)) % 1.90/1.82 [24]~E(x241,x242)+E(f22(x243,x241),f22(x243,x242)) % 1.90/1.82 [25]~E(x251,x252)+E(f18(x251),f18(x252)) % 1.90/1.82 [26]~E(x261,x262)+E(f23(x261,x263,x264),f23(x262,x263,x264)) % 1.90/1.82 [27]~E(x271,x272)+E(f23(x273,x271,x274),f23(x273,x272,x274)) % 1.90/1.82 [28]~E(x281,x282)+E(f23(x283,x284,x281),f23(x283,x284,x282)) % 1.90/1.82 [29]~E(x291,x292)+E(f21(x291,x293),f21(x292,x293)) % 1.90/1.82 [30]~E(x301,x302)+E(f21(x303,x301),f21(x303,x302)) % 1.90/1.82 [31]~E(x311,x312)+E(f5(x311,x313),f5(x312,x313)) % 1.90/1.82 [32]~E(x321,x322)+E(f5(x323,x321),f5(x323,x322)) % 1.90/1.82 [33]~E(x331,x332)+E(f4(x331,x333),f4(x332,x333)) % 1.90/1.82 [34]~E(x341,x342)+E(f4(x343,x341),f4(x343,x342)) % 1.90/1.82 [35]~E(x351,x352)+E(f15(x351,x353,x354),f15(x352,x353,x354)) % 1.90/1.82 [36]~E(x361,x362)+E(f15(x363,x361,x364),f15(x363,x362,x364)) % 1.90/1.82 [37]~E(x371,x372)+E(f15(x373,x374,x371),f15(x373,x374,x372)) % 1.90/1.82 [38]~E(x381,x382)+E(f8(x381,x383,x384),f8(x382,x383,x384)) % 1.90/1.82 [39]~E(x391,x392)+E(f8(x393,x391,x394),f8(x393,x392,x394)) % 1.90/1.82 [40]~E(x401,x402)+E(f8(x403,x404,x401),f8(x403,x404,x402)) % 1.90/1.82 [41]~E(x411,x412)+E(f9(x411,x413),f9(x412,x413)) % 1.90/1.82 [42]~E(x421,x422)+E(f9(x423,x421),f9(x423,x422)) % 1.90/1.82 [43]~E(x431,x432)+E(f6(x431,x433,x434),f6(x432,x433,x434)) % 1.90/1.82 [44]~E(x441,x442)+E(f6(x443,x441,x444),f6(x443,x442,x444)) % 1.90/1.82 [45]~E(x451,x452)+E(f6(x453,x454,x451),f6(x453,x454,x452)) % 1.90/1.82 [46]~E(x461,x462)+E(f19(x461),f19(x462)) % 1.90/1.82 [47]~E(x471,x472)+E(f27(x471,x473,x474),f27(x472,x473,x474)) % 1.90/1.82 [48]~E(x481,x482)+E(f27(x483,x481,x484),f27(x483,x482,x484)) % 1.90/1.82 [49]~E(x491,x492)+E(f27(x493,x494,x491),f27(x493,x494,x492)) % 1.90/1.82 [50]~E(x501,x502)+E(f16(x501,x503,x504),f16(x502,x503,x504)) % 1.90/1.82 [51]~E(x511,x512)+E(f16(x513,x511,x514),f16(x513,x512,x514)) % 1.90/1.82 [52]~E(x521,x522)+E(f16(x523,x524,x521),f16(x523,x524,x522)) % 1.90/1.82 [53]~E(x531,x532)+E(f28(x531,x533,x534),f28(x532,x533,x534)) % 1.90/1.82 [54]~E(x541,x542)+E(f28(x543,x541,x544),f28(x543,x542,x544)) % 1.90/1.82 [55]~E(x551,x552)+E(f28(x553,x554,x551),f28(x553,x554,x552)) % 1.90/1.82 [56]~E(x561,x562)+E(f26(x561,x563),f26(x562,x563)) % 1.90/1.82 [57]~E(x571,x572)+E(f26(x573,x571),f26(x573,x572)) % 1.90/1.82 [58]~E(x581,x582)+E(f25(x581,x583),f25(x582,x583)) % 1.90/1.82 [59]~E(x591,x592)+E(f25(x593,x591),f25(x593,x592)) % 1.90/1.82 [60]~E(x601,x602)+E(f20(x601,x603),f20(x602,x603)) % 1.90/1.82 [61]~E(x611,x612)+E(f20(x613,x611),f20(x613,x612)) % 1.90/1.82 [62]~E(x621,x622)+E(f17(x621,x623),f17(x622,x623)) % 1.90/1.82 [63]~E(x631,x632)+E(f17(x633,x631),f17(x633,x632)) % 1.90/1.82 [64]~P1(x641)+P1(x642)+~E(x641,x642) % 1.90/1.82 [65]~P49(x651)+P49(x652)+~E(x651,x652) % 1.90/1.82 [66]~P50(x661)+P50(x662)+~E(x661,x662) % 1.90/1.82 [67]~P51(x671)+P51(x672)+~E(x671,x672) % 1.90/1.82 [68]~P2(x681)+P2(x682)+~E(x681,x682) % 1.90/1.82 [69]P8(x692,x693,x694)+~E(x691,x692)+~P8(x691,x693,x694) % 1.90/1.82 [70]P8(x703,x702,x704)+~E(x701,x702)+~P8(x703,x701,x704) % 1.90/1.82 [71]P8(x713,x714,x712)+~E(x711,x712)+~P8(x713,x714,x711) % 1.90/1.82 [72]~P3(x721)+P3(x722)+~E(x721,x722) % 1.90/1.82 [73]~P61(x731)+P61(x732)+~E(x731,x732) % 1.90/1.82 [74]P6(x742,x743,x744)+~E(x741,x742)+~P6(x741,x743,x744) % 1.90/1.82 [75]P6(x753,x752,x754)+~E(x751,x752)+~P6(x753,x751,x754) % 1.90/1.82 [76]P6(x763,x764,x762)+~E(x761,x762)+~P6(x763,x764,x761) % 1.90/1.82 [77]~P62(x771)+P62(x772)+~E(x771,x772) % 1.90/1.82 [78]P9(x782,x783,x784)+~E(x781,x782)+~P9(x781,x783,x784) % 1.90/1.82 [79]P9(x793,x792,x794)+~E(x791,x792)+~P9(x793,x791,x794) % 1.90/1.82 [80]P9(x803,x804,x802)+~E(x801,x802)+~P9(x803,x804,x801) % 1.90/1.82 [81]~P68(x811)+P68(x812)+~E(x811,x812) % 1.90/1.82 [82]~P63(x821)+P63(x822)+~E(x821,x822) % 1.90/1.82 [83]~P4(x831)+P4(x832)+~E(x831,x832) % 1.90/1.82 [84]~P69(x841)+P69(x842)+~E(x841,x842) % 1.90/1.82 [85]~P52(x851)+P52(x852)+~E(x851,x852) % 1.90/1.82 [86]~P59(x861)+P59(x862)+~E(x861,x862) % 1.90/1.82 [87]~P12(x871)+P12(x872)+~E(x871,x872) % 1.90/1.82 [88]~P53(x881)+P53(x882)+~E(x881,x882) % 1.90/1.82 [89]~P38(x891)+P38(x892)+~E(x891,x892) % 1.90/1.82 [90]~P71(x901)+P71(x902)+~E(x901,x902) % 1.90/1.82 [91]~P27(x911)+P27(x912)+~E(x911,x912) % 1.90/1.82 [92]~P42(x921)+P42(x922)+~E(x921,x922) % 1.90/1.82 [93]~P5(x931)+P5(x932)+~E(x931,x932) % 1.90/1.82 [94]~P72(x941)+P72(x942)+~E(x941,x942) % 1.90/1.82 [95]~P73(x951)+P73(x952)+~E(x951,x952) % 1.90/1.82 [96]~P44(x961)+P44(x962)+~E(x961,x962) % 1.90/1.82 [97]~P54(x971)+P54(x972)+~E(x971,x972) % 1.90/1.82 [98]~P17(x981)+P17(x982)+~E(x981,x982) % 1.90/1.82 [99]~P13(x991)+P13(x992)+~E(x991,x992) % 1.90/1.82 [100]~P55(x1001)+P55(x1002)+~E(x1001,x1002) % 1.90/1.82 [101]~P36(x1011)+P36(x1012)+~E(x1011,x1012) % 1.90/1.82 [102]~P26(x1021)+P26(x1022)+~E(x1021,x1022) % 1.90/1.82 [103]~P70(x1031)+P70(x1032)+~E(x1031,x1032) % 1.90/1.82 [104]~P15(x1041)+P15(x1042)+~E(x1041,x1042) % 1.90/1.82 [105]~P58(x1051)+P58(x1052)+~E(x1051,x1052) % 1.90/1.82 [106]~P16(x1061)+P16(x1062)+~E(x1061,x1062) % 1.90/1.82 [107]~P37(x1071)+P37(x1072)+~E(x1071,x1072) % 1.90/1.82 [108]~P34(x1081)+P34(x1082)+~E(x1081,x1082) % 1.90/1.82 [109]~P75(x1091)+P75(x1092)+~E(x1091,x1092) % 1.90/1.82 [110]~P76(x1101)+P76(x1102)+~E(x1101,x1102) % 1.90/1.82 [111]~P14(x1111)+P14(x1112)+~E(x1111,x1112) % 1.90/1.82 [112]~P19(x1121)+P19(x1122)+~E(x1121,x1122) % 1.90/1.82 [113]~P35(x1131)+P35(x1132)+~E(x1131,x1132) % 1.90/1.82 [114]~P79(x1141)+P79(x1142)+~E(x1141,x1142) % 1.90/1.82 [115]~P28(x1151)+P28(x1152)+~E(x1151,x1152) % 1.90/1.82 [116]~P39(x1161)+P39(x1162)+~E(x1161,x1162) % 1.90/1.82 [117]~P45(x1171)+P45(x1172)+~E(x1171,x1172) % 1.90/1.82 [118]~P66(x1181)+P66(x1182)+~E(x1181,x1182) % 1.90/1.82 [119]~P60(x1191)+P60(x1192)+~E(x1191,x1192) % 1.90/1.82 [120]~P46(x1201)+P46(x1202)+~E(x1201,x1202) % 1.90/1.82 [121]~P32(x1211)+P32(x1212)+~E(x1211,x1212) % 1.90/1.82 [122]~P74(x1221)+P74(x1222)+~E(x1221,x1222) % 1.90/1.82 [123]~P25(x1231)+P25(x1232)+~E(x1231,x1232) % 1.90/1.82 [124]~P22(x1241)+P22(x1242)+~E(x1241,x1242) % 1.90/1.82 [125]~P18(x1251)+P18(x1252)+~E(x1251,x1252) % 1.90/1.82 [126]~P56(x1261)+P56(x1262)+~E(x1261,x1262) % 1.90/1.82 [127]~P57(x1271)+P57(x1272)+~E(x1271,x1272) % 1.90/1.82 [128]~P47(x1281)+P47(x1282)+~E(x1281,x1282) % 1.90/1.82 [129]~P11(x1291)+P11(x1292)+~E(x1291,x1292) % 1.90/1.82 [130]~P40(x1301)+P40(x1302)+~E(x1301,x1302) % 1.90/1.82 [131]~P77(x1311)+P77(x1312)+~E(x1311,x1312) % 1.90/1.82 [132]~P80(x1321)+P80(x1322)+~E(x1321,x1322) % 1.90/1.82 [133]~P20(x1331)+P20(x1332)+~E(x1331,x1332) % 1.90/1.82 [134]~P29(x1341)+P29(x1342)+~E(x1341,x1342) % 1.90/1.82 [135]~P64(x1351)+P64(x1352)+~E(x1351,x1352) % 1.90/1.82 [136]~P33(x1361)+P33(x1362)+~E(x1361,x1362) % 1.90/1.82 [137]~P10(x1371)+P10(x1372)+~E(x1371,x1372) % 1.90/1.82 [138]~P67(x1381)+P67(x1382)+~E(x1381,x1382) % 1.90/1.82 [139]~P30(x1391)+P30(x1392)+~E(x1391,x1392) % 1.90/1.82 [140]~P21(x1401)+P21(x1402)+~E(x1401,x1402) % 1.90/1.82 [141]~P31(x1411)+P31(x1412)+~E(x1411,x1412) % 1.90/1.82 [142]~P48(x1421)+P48(x1422)+~E(x1421,x1422) % 1.90/1.82 [143]~P23(x1431)+P23(x1432)+~E(x1431,x1432) % 1.90/1.82 [144]~P65(x1441)+P65(x1442)+~E(x1441,x1442) % 1.90/1.82 [145]~P24(x1451)+P24(x1452)+~E(x1451,x1452) % 1.90/1.82 [146]~P43(x1461)+P43(x1462)+~E(x1461,x1462) % 1.90/1.82 [147]~P41(x1471)+P41(x1472)+~E(x1471,x1472) % 1.90/1.82 [148]P7(x1482,x1483,x1484)+~E(x1481,x1482)+~P7(x1481,x1483,x1484) % 1.90/1.82 [149]P7(x1493,x1492,x1494)+~E(x1491,x1492)+~P7(x1493,x1491,x1494) % 1.90/1.82 [150]P7(x1503,x1504,x1502)+~E(x1501,x1502)+~P7(x1503,x1504,x1501) % 1.90/1.82 [151]~P78(x1511)+P78(x1512)+~E(x1511,x1512) % 1.90/1.82 % 1.90/1.82 %------------------------------------------- % 1.90/1.82 cnf(1447,plain, % 1.90/1.82 (E(f11(f8(x14471,x14472,a1),x14472,a1),x14471)), % 1.90/1.82 inference(rename_variables,[],[310])). % 1.90/1.82 cnf(1450,plain, % 1.90/1.82 (E(f11(f8(x14501,x14502,a1),x14502,a1),x14501)), % 1.90/1.82 inference(rename_variables,[],[310])). % 1.90/1.82 cnf(1453,plain, % 1.90/1.82 (E(f8(f11(x14531,x14532,a1),x14532,a1),x14531)), % 1.90/1.82 inference(rename_variables,[],[309])). % 1.90/1.82 cnf(1456,plain, % 1.90/1.82 (~P6(x14561,x14561,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1459,plain, % 1.90/1.82 (~P6(x14591,x14591,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1462,plain, % 1.90/1.82 (~P6(x14621,x14621,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1465,plain, % 1.90/1.82 (~P6(x14651,x14651,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1468,plain, % 1.90/1.82 (P8(x14681,f13(f11(f10(x14681,x14681,a1),f10(x14682,x14682,a1),a1)),a1)), % 1.90/1.82 inference(rename_variables,[],[328])). % 1.90/1.82 cnf(1477,plain, % 1.90/1.82 (P8(x14771,x14771,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1479,plain, % 1.90/1.82 (P8(x14791,x14791,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1484,plain, % 1.90/1.82 (~P6(x14841,x14841,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1486,plain, % 1.90/1.82 (~P6(x14861,x14861,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1553,plain, % 1.90/1.82 (P7(x15531,x15531,a1)), % 1.90/1.82 inference(rename_variables,[],[281])). % 1.90/1.82 cnf(1555,plain, % 1.90/1.82 (P7(x15551,x15551,a1)), % 1.90/1.82 inference(rename_variables,[],[281])). % 1.90/1.82 cnf(1577,plain, % 1.90/1.82 (E(f8(f11(x15771,x15772,a1),x15772,a1),x15771)), % 1.90/1.82 inference(rename_variables,[],[309])). % 1.90/1.82 cnf(1596,plain, % 1.90/1.82 (P8(f2(a1),f14(x15961,x15962),a1)), % 1.90/1.82 inference(rename_variables,[],[294])). % 1.90/1.82 cnf(1605,plain, % 1.90/1.82 (E(f8(f11(x16051,x16052,a1),x16052,a1),x16051)), % 1.90/1.82 inference(rename_variables,[],[309])). % 1.90/1.82 cnf(1608,plain, % 1.90/1.82 (P8(x16081,x16081,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1611,plain, % 1.90/1.82 (~P6(x16111,x16111,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1622,plain, % 1.90/1.82 (~P6(x16221,x16221,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1627,plain, % 1.90/1.82 (~P6(x16271,x16271,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1632,plain, % 1.90/1.82 (~P6(x16321,x16321,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1635,plain, % 1.90/1.82 (~P6(x16351,x16351,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1644,plain, % 1.90/1.82 (P8(x16441,x16441,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1647,plain, % 1.90/1.82 (~P6(x16471,x16471,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1650,plain, % 1.90/1.82 (~P6(x16501,x16501,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1653,plain, % 1.90/1.82 (~P6(x16531,x16531,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1656,plain, % 1.90/1.82 (~P6(x16561,x16561,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1659,plain, % 1.90/1.82 (~P6(x16591,x16591,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1662,plain, % 1.90/1.82 (~P6(x16621,x16621,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1665,plain, % 1.90/1.82 (~P6(x16651,x16651,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1668,plain, % 1.90/1.82 (~P6(x16681,x16681,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1671,plain, % 1.90/1.82 (E(f11(f8(x16711,x16712,a1),x16712,a1),x16711)), % 1.90/1.82 inference(rename_variables,[],[310])). % 1.90/1.82 cnf(1676,plain, % 1.90/1.82 (P8(x16761,x16761,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1679,plain, % 1.90/1.82 (P8(x16791,x16791,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1682,plain, % 1.90/1.82 (P8(x16821,x16821,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1685,plain, % 1.90/1.82 (P8(x16851,x16851,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1688,plain, % 1.90/1.82 (P8(x16881,x16881,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1691,plain, % 1.90/1.82 (P8(x16911,x16911,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1694,plain, % 1.90/1.82 (P8(x16941,x16941,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1697,plain, % 1.90/1.82 (P8(x16971,x16971,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1700,plain, % 1.90/1.82 (~P6(x17001,x17001,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1707,plain, % 1.90/1.82 (~P6(x17071,x17071,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1714,plain, % 1.90/1.82 (E(f11(f8(x17141,x17142,a1),x17142,a1),x17141)), % 1.90/1.82 inference(rename_variables,[],[310])). % 1.90/1.82 cnf(1719,plain, % 1.90/1.82 (~P6(x17191,x17191,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1722,plain, % 1.90/1.82 (~P6(x17221,x17221,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1725,plain, % 1.90/1.82 (P8(x17251,x17251,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1728,plain, % 1.90/1.82 (P8(x17281,x17281,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1747,plain, % 1.90/1.82 (~E(f14(x17471,x17472),f2(a1))), % 1.90/1.82 inference(rename_variables,[],[333])). % 1.90/1.82 cnf(1750,plain, % 1.90/1.82 (~P6(x17501,x17501,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1753,plain, % 1.90/1.82 (~P6(x17531,x17531,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1758,plain, % 1.90/1.82 (~P6(x17581,x17581,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1761,plain, % 1.90/1.82 (~P6(x17611,x17611,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1764,plain, % 1.90/1.82 (~P6(x17641,x17641,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1769,plain, % 1.90/1.82 (~P6(x17691,x17691,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1772,plain, % 1.90/1.82 (~P6(x17721,x17721,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1775,plain, % 1.90/1.82 (P8(f9(f10(x17751,x17751,a1),a1),f10(x17752,x17752,a1),a1)), % 1.90/1.82 inference(rename_variables,[],[317])). % 1.90/1.82 cnf(1776,plain, % 1.90/1.82 (P8(x17761,x17761,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1779,plain, % 1.90/1.82 (E(f8(f11(x17791,x17792,a1),x17792,a1),x17791)), % 1.90/1.82 inference(rename_variables,[],[309])). % 1.90/1.82 cnf(1782,plain, % 1.90/1.82 (E(f8(f11(x17821,x17822,a1),x17822,a1),x17821)), % 1.90/1.82 inference(rename_variables,[],[309])). % 1.90/1.82 cnf(1785,plain, % 1.90/1.82 (E(f8(f11(x17851,x17852,a1),x17852,a1),x17851)), % 1.90/1.82 inference(rename_variables,[],[309])). % 1.90/1.82 cnf(1791,plain, % 1.90/1.82 (~P6(x17911,x17911,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1794,plain, % 1.90/1.82 (P8(x17941,x17941,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1795,plain, % 1.90/1.82 (P8(x17951,f13(f11(f10(x17951,x17951,a1),f10(x17952,x17952,a1),a1)),a1)), % 1.90/1.82 inference(rename_variables,[],[328])). % 1.90/1.82 cnf(1798,plain, % 1.90/1.82 (P8(x17981,x17981,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1801,plain, % 1.90/1.82 (P8(x18011,x18011,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1812,plain, % 1.90/1.82 (~P6(x18121,x18121,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1815,plain, % 1.90/1.82 (~P6(x18151,x18151,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1820,plain, % 1.90/1.82 (P8(x18201,x18201,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1827,plain, % 1.90/1.82 (~P6(x18271,x18271,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1830,plain, % 1.90/1.82 (~P6(x18301,x18301,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1841,plain, % 1.90/1.82 (~P6(x18411,x18411,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1844,plain, % 1.90/1.82 (~P6(x18441,x18441,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1847,plain, % 1.90/1.82 (P8(x18471,x18471,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1851,plain, % 1.90/1.82 (~E(f14(x18511,x18512),f2(a1))), % 1.90/1.82 inference(rename_variables,[],[333])). % 1.90/1.82 cnf(1858,plain, % 1.90/1.82 (~P6(x18581,x18581,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1859,plain, % 1.90/1.82 (P8(x18591,x18591,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1862,plain, % 1.90/1.82 (~P6(x18621,x18621,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1865,plain, % 1.90/1.82 (P8(x18651,x18651,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1868,plain, % 1.90/1.82 (P8(x18681,x18681,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1871,plain, % 1.90/1.82 (~P6(x18711,x18711,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1876,plain, % 1.90/1.82 (~P6(x18761,x18761,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1879,plain, % 1.90/1.82 (~P6(x18791,x18791,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1882,plain, % 1.90/1.82 (~P6(x18821,x18821,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1885,plain, % 1.90/1.82 (~P6(x18851,x18851,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1892,plain, % 1.90/1.82 (~P6(x18921,x18921,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1895,plain, % 1.90/1.82 (~P6(x18951,x18951,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1902,plain, % 1.90/1.82 (P8(f30(x19021),f3(a1),a1)), % 1.90/1.82 inference(rename_variables,[],[288])). % 1.90/1.82 cnf(1908,plain, % 1.90/1.82 (~P6(x19081,x19081,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1913,plain, % 1.90/1.82 (~P6(x19131,x19131,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1918,plain, % 1.90/1.82 (~P6(x19181,x19181,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1921,plain, % 1.90/1.82 (~P6(x19211,x19211,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1924,plain, % 1.90/1.82 (~P6(x19241,x19241,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1927,plain, % 1.90/1.82 (~P6(x19271,x19271,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1928,plain, % 1.90/1.82 (P8(x19281,x19281,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1931,plain, % 1.90/1.82 (~P6(x19311,x19311,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1934,plain, % 1.90/1.82 (~P6(x19341,x19341,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1939,plain, % 1.90/1.82 (~P6(x19391,x19391,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1942,plain, % 1.90/1.82 (~P6(x19421,x19421,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1943,plain, % 1.90/1.82 (P8(x19431,x19431,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1944,plain, % 1.90/1.82 (P8(x19441,f13(f11(f10(x19441,x19441,a1),f10(x19442,x19442,a1),a1)),a1)), % 1.90/1.82 inference(rename_variables,[],[328])). % 1.90/1.82 cnf(1947,plain, % 1.90/1.82 (~P6(x19471,x19471,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1950,plain, % 1.90/1.82 (P8(x19501,x19501,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1953,plain, % 1.90/1.82 (P8(x19531,x19531,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1954,plain, % 1.90/1.82 (~P6(x19541,x19541,a1)), % 1.90/1.82 inference(rename_variables,[],[334])). % 1.90/1.82 cnf(1959,plain, % 1.90/1.82 (P8(x19591,x19591,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1964,plain, % 1.90/1.82 (P8(x19641,x19641,a1)), % 1.90/1.82 inference(rename_variables,[],[280])). % 1.90/1.82 cnf(1975,plain, % 1.90/1.82 ($false), % 1.90/1.82 inference(scs_inference,[],[295,280,1477,1479,1608,1644,1676,1679,1682,1685,1688,1691,1694,1697,1725,1728,1776,1794,1798,1801,1820,1847,1859,1865,1868,1928,1943,1950,1953,1959,1964,281,1553,1555,334,1456,1459,1462,1465,1484,1486,1611,1622,1627,1632,1635,1647,1650,1653,1656,1659,1662,1665,1668,1700,1707,1719,1722,1750,1753,1758,1761,1764,1769,1772,1791,1812,1815,1827,1830,1841,1844,1858,1862,1871,1876,1879,1882,1885,1892,1895,1908,1913,1918,1921,1924,1927,1931,1934,1939,1942,1947,1954,333,1747,1851,288,1902,293,294,1596,308,336,152,153,154,155,156,157,158,159,161,163,164,165,166,167,168,169,171,172,174,176,178,179,181,183,184,185,186,188,190,191,192,193,195,197,198,200,201,203,204,206,207,209,211,213,215,217,218,220,222,223,224,225,227,229,230,231,233,235,236,238,240,241,242,243,244,246,248,250,251,253,255,257,259,331,309,1453,1577,1605,1779,1782,1785,310,1447,1450,1671,1714,317,1775,283,284,304,330,337,272,290,328,1468,1795,1944,2,339,457,479,496,497,554,566,621,622,625,626,631,3,64,65,66,67,68,69,70,71,72,73,74,75,76,77,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,138,139,141,142,143,144,145,146,147,148,149,150,151,359,363,364,365,366,367,424,488,495,500,501,503,511,523,524,539,557,590,660,678,680,682,690,713,725,726,727,745,746,747,748,775,777,778,780,781,783,802,803,837,839,840,841,851,853,854,855,879,883,921,923,925,927,931,933,935,937,996,997,998,999,1000,1029,1132,1237,1389,1391,1394,1396,375,509,512,514,516,694,707,708,763,765,767,768,769,770,771,772,813,816,909,942,943,944,945,1028,1052,1069,1072,1103,1104,1105,1110,1141,1142,1199,1200,1238,1239,1250,1252,1277,1278,1279,1280,1284,1285,896,901,902,1036,1037,1038,1039,1116,1117,1118,1119,1120,1121,1122,1123,1126,1127,1130,1131,1208,1209,1255,1257,1259,1261,1111,1112,1113,1114,1204,1205,1206,1207,1307,1308,1309,1314,1321,1334,1335,340,480,506,507]), % 1.90/1.82 ['proof']). % 1.90/1.82 % SZS output end Proof % 1.90/1.82 % Total time :0.780000s %------------------------------------------------------------------------------