%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : ALG353-1 : TPTP v8.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n016.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Jun 24 03:41:25 EDT 2024 % Result : Unsatisfiable 0.80s 0.88s % Output : CNFRefutation 0.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.10 % Problem : ALG353-1 : TPTP v8.2.0. Released v4.1.0. % 0.03/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.10/0.31 % Computer : n016.cluster.edu % 0.10/0.31 % Model : x86_64 x86_64 % 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.31 % Memory : 8042.1875MB % 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.31 % CPULimit : 300 % 0.10/0.31 % WCLimit : 300 % 0.10/0.31 % DateTime : Wed Jun 19 17:45:39 EDT 2024 % 0.10/0.31 % CPUTime : % 0.16/0.55 start to proof:theBenchmark % 0.58/0.82 %------------------------------------------- % 0.58/0.82 % File :CSE---1.7 % 0.58/0.82 % Problem :theBenchmark % 0.58/0.82 % Transform :cnf % 0.58/0.82 % Format :tptp:raw % 0.58/0.82 % Command :java -jar mcs_scs.jar %d %s % 0.58/0.82 % 0.58/0.82 % Result :Theorem 0.040000s % 0.58/0.82 % Output :CNFRefutation 0.040000s % 0.58/0.82 %------------------------------------------- % 0.58/0.82 %------------------------------------------------------------------------------ % 0.58/0.82 % File : ALG353-1 : TPTP v8.2.0. Released v4.1.0. % 0.58/0.82 % Domain : General Algebra % 0.58/0.82 % Problem : Fundamental theorem of algebra 0196_53 % 0.58/0.82 % Version : Especial. % 0.58/0.82 % English : % 0.58/0.82 % 0.58/0.82 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.58/0.82 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.58/0.82 % Source : [Nip10] % 0.58/0.82 % Names : Fundamental_Theorem_Algebra-0196_53 [Nip10] % 0.58/0.82 % 0.58/0.82 % Status : Unsatisfiable % 0.58/0.82 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.00 v5.5.0, 0.30 v5.3.0, 0.28 v5.2.0, 0.25 v5.1.0, 0.29 v5.0.0, 0.21 v4.1.0 % 0.58/0.82 % Syntax : Number of clauses : 745 ( 169 unt; 66 nHn; 502 RR) % 0.58/0.82 % Number of literals : 1898 ( 403 equ;1099 neg) % 0.58/0.82 % Maximal clause size : 6 ( 2 avg) % 0.58/0.82 % Maximal term depth : 5 ( 1 avg) % 0.58/0.82 % Number of predicates : 64 ( 63 usr; 0 prp; 1-3 aty) % 0.58/0.82 % Number of functors : 23 ( 23 usr; 5 con; 0-3 aty) % 0.58/0.82 % Number of variables : 1721 ( 49 sgn) % 0.58/0.82 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.58/0.82 % 0.58/0.82 % Comments : % 0.58/0.82 %------------------------------------------------------------------------------ % 0.58/0.82 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom, % 0.58/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.58/0.82 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ). % 0.58/0.82 % 0.58/0.82 cnf(cls_xt1_I10_J_0,axiom, % 0.58/0.82 ( ~ class_Orderings_Oorder(T_a) % 0.58/0.82 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.58/0.82 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.58/0.82 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.58/0.82 % 0.58/0.82 cnf(cls_order__less__trans_0,axiom, % 0.58/0.82 ( ~ class_Orderings_Opreorder(T_a) % 0.58/0.82 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.58/0.82 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.58/0.82 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.58/0.82 % 0.58/0.82 cnf(cls_Complex__eq__1_1,axiom, % 0.58/0.82 ( c_Complex_Ocomplex_OComplex(V_a,V_b) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) % 0.58/0.82 | V_b = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_abs__eq__0_1,axiom, % 0.58/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.58/0.83 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_neg__0__equal__iff__equal_0,axiom, % 0.58/0.83 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.58/0.83 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.58/0.83 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_Re_Ominus_0,axiom, % 0.58/0.83 c_Complex_ORe(c_HOL_Ouminus__class_Ouminus(V_x,tc_Complex_Ocomplex)) = c_HOL_Ouminus__class_Ouminus(c_Complex_ORe(V_x),tc_RealDef_Oreal) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_power__mono_0,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.58/0.83 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) % 0.58/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.58/0.83 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_power__less__zero__eq_1,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.58/0.83 | c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/0.83 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_power__le__zero__eq_3,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.58/0.83 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.58/0.83 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/0.83 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_mult__right__le__imp__le_0,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.58/0.83 | c_lessequals(V_a,V_b,T_a) % 0.58/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/0.83 | ~ 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) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_mult__left__le__imp__le_0,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.58/0.83 | c_lessequals(V_a,V_b,T_a) % 0.58/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/0.83 | ~ 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) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_mult__le__cancel__left__pos_1,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.58/0.83 | 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) % 0.58/0.83 | ~ c_lessequals(V_a,V_b,T_a) % 0.58/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_mult__le__cancel__left__pos_0,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.58/0.83 | c_lessequals(V_a,V_b,T_a) % 0.58/0.83 | ~ 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) % 0.58/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_mult__le__cancel__left__neg_1,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.58/0.83 | 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) % 0.58/0.83 | ~ c_lessequals(V_b,V_a,T_a) % 0.58/0.83 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_mult__le__cancel__left__neg_0,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.58/0.83 | c_lessequals(V_b,V_a,T_a) % 0.58/0.83 | ~ 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) % 0.58/0.83 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_one__le__inverse__iff_0,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/0.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.58/0.83 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_eq__neg__iff__add__eq__0_0,axiom, % 0.58/0.83 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.58/0.83 | 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) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_ab__left__minus_0,axiom, % 0.58/0.83 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.58/0.83 | 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) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_class__semiring_Omul__c_0,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.58/0.83 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_inverse__inverse__eq_0,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.58/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/0.83 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_abs__mult__less_0,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.58/0.83 | 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) % 0.58/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a) % 0.58/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_neg__less__0__iff__less_0,axiom, % 0.58/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.58/0.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.58/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_neg__less__0__iff__less_1,axiom, % 0.58/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.58/0.83 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_mult__strict__mono_0,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.58/0.83 | 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) % 0.58/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.58/0.83 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.58/0.83 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_abs__le__mult_0,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Olordered__ring(T_a) % 0.58/0.83 | 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) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_of__real__eq__iff_0,axiom, % 0.58/0.83 ( ~ class_RealVector_Oreal__algebra__1(T_a) % 0.58/0.83 | c_RealVector_Oof__real(V_x,T_a) != c_RealVector_Oof__real(V_y,T_a) % 0.58/0.83 | V_x = V_y ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_abs__minus__le__zero_0,axiom, % 0.58/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.58/0.83 | 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) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_norm__eq__zero_0,axiom, % 0.58/0.83 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.58/0.83 | c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.58/0.83 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_Im_Odiff_0,axiom, % 0.58/0.83 c_Complex_OIm(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Ominus__class_Ominus(c_Complex_OIm(V_x),c_Complex_OIm(V_y),tc_RealDef_Oreal) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_real__add__minus__iff_0,axiom, % 0.58/0.83 ( 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) % 0.58/0.83 | V_x = V_a ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_mult__left__less__imp__less_0,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 0.58/0.83 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.58/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/0.83 | ~ 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) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_mult__right__less__imp__less_0,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 0.58/0.83 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.58/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/0.83 | ~ 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) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_mult__less__imp__less__left_0,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.58/0.83 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.58/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/0.83 | ~ 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) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_mult__less__imp__less__right_0,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.58/0.83 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.58/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/0.83 | ~ 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) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_square__eq__iff_0,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.58/0.83 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a) % 0.58/0.83 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 0.58/0.83 | V_a = V_b ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_abs__if__lattice_0,axiom, % 0.58/0.83 ( ~ class_Orderings_Olinorder(T_a) % 0.58/0.83 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 0.58/0.83 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.58/0.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_abs__if_0,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Oabs__if(T_a) % 0.58/0.83 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.58/0.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_abs__of__neg_0,axiom, % 0.58/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.58/0.83 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.58/0.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_no__zero__divirors__neq0_0,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.58/0.83 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.58/0.83 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.58/0.83 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.58/0.83 % 0.58/0.83 cnf(cls_no__zero__divisors_0,axiom, % 0.58/0.83 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.58/0.83 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.58/0.83 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.58/0.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_mult__eq__0__iff_0,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.58/0.84 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.58/0.84 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.58/0.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_even__less__0__iff_1,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.58/0.84 | 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) % 0.58/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_even__less__0__iff_0,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.58/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/0.84 | ~ 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) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom, % 0.58/0.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.58/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/0.84 | ~ 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) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom, % 0.58/0.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.58/0.84 | 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) % 0.58/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_mult__neg__neg_0,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.58/0.84 | 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) % 0.58/0.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_mult__pos__pos_0,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.58/0.84 | 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) % 0.58/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.58/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_zero__less__mult__pos_0,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.58/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.58/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.58/0.84 | ~ 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) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_zero__less__mult__pos2_0,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.58/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.58/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.58/0.84 | ~ 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) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_power__less__imp__less__base_0,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.58/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.58/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.58/0.84 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_abs__less__iff_1,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.58/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.58/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_not__sum__squares__lt__zero_0,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.58/0.84 | ~ 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) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_complex__add__def_0,axiom, % 0.58/0.84 c_HOL_Oplus__class_Oplus(V_x,V_y,tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_HOL_Oplus__class_Oplus(c_Complex_ORe(V_x),c_Complex_ORe(V_y),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_Complex_OIm(V_x),c_Complex_OIm(V_y),tc_RealDef_Oreal)) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_dist__self_0,axiom, % 0.58/0.84 ( ~ class_RealVector_Ometric__space(T_a) % 0.58/0.84 | c_RealVector_Odist__class_Odist(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_neg__less__iff__less_0,axiom, % 0.58/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.58/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.58/0.84 | ~ 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) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_neg__less__iff__less_1,axiom, % 0.58/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.58/0.84 | 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) % 0.58/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_of__real_Ozero_0,axiom, % 0.58/0.84 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.58/0.84 | ~ class_RealVector_Oreal__algebra__1(T_a) % 0.58/0.84 | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_of__real__0_0,axiom, % 0.58/0.84 ( ~ class_RealVector_Oreal__algebra__1(T_a) % 0.58/0.84 | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_complex__diff_0,axiom, % 0.58/0.84 c_HOL_Ominus__class_Ominus(c_Complex_Ocomplex_OComplex(V_a,V_b),c_Complex_Ocomplex_OComplex(V_c,V_d),tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_HOL_Ominus__class_Ominus(V_a,V_c,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(V_b,V_d,tc_RealDef_Oreal)) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_dist__le__zero__iff_1,axiom, % 0.58/0.84 ( ~ class_RealVector_Ometric__space(T_a) % 0.58/0.84 | c_lessequals(c_RealVector_Odist__class_Odist(V_x,V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_neg__equal__0__iff__equal_0,axiom, % 0.58/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.58/0.84 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.58/0.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.58/0.84 | 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) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.58/0.84 | 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) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.58/0.84 | 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) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_inverse__less__1__iff_1,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/0.84 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.58/0.84 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_abs__le__zero__iff_0,axiom, % 0.58/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.58/0.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.58/0.84 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_neg__equal__iff__equal_0,axiom, % 0.58/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.58/0.84 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 0.58/0.84 | V_a = V_b ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_compl__eq__compl__iff_0,axiom, % 0.58/0.84 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.58/0.84 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a) % 0.58/0.84 | V_x = V_y ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_power__gt1__lemma_0,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.58/0.84 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),T_a) % 0.58/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_linorder__neqE_0,axiom, % 0.58/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.58/0.84 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.58/0.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.58/0.84 | V_x = V_y ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_linorder__less__linear_0,axiom, % 0.58/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.58/0.84 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.58/0.84 | V_x = V_y % 0.58/0.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_linorder__antisym__conv3_0,axiom, % 0.58/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.58/0.84 | V_x = V_y % 0.58/0.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.58/0.84 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 0.58/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.58/0.84 | V_x = V_y % 0.58/0.84 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.58/0.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.58/0.84 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.58/0.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.58/0.84 | V_x = V_y ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_abs__of__nonneg_0,axiom, % 0.58/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.58/0.84 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 0.58/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_abs__mult_0,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.58/0.84 | 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) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_abs__eq__mult_0,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 0.58/0.84 | 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) % 0.58/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.58/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_abs__eq__mult_1,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 0.58/0.84 | 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) % 0.58/0.84 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_abs__eq__mult_2,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 0.58/0.84 | 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) % 0.58/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.58/0.84 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_abs__eq__mult_3,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 0.58/0.84 | 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) % 0.58/0.84 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/0.84 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_minus__mult__left_0,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Oring(T_a) % 0.58/0.84 | 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) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_minus__mult__right_0,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Oring(T_a) % 0.58/0.84 | 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) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_real__add__le__0__iff_1,axiom, % 0.58/0.84 ( 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) % 0.58/0.84 | ~ c_lessequals(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_real__add__le__0__iff_0,axiom, % 0.58/0.84 ( c_lessequals(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.58/0.84 | ~ 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) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_mult__left__idem_0,axiom, % 0.58/0.84 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.58/0.84 | 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) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_one__less__inverse__iff_0,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.58/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_power__eq__0__iff_0,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.58/0.84 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.58/0.84 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.58/0.84 | ~ class_Power_Opower(T_a) % 0.58/0.84 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.58/0.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_field__power__not__zero_0,axiom, % 0.58/0.84 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a) % 0.58/0.84 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.58/0.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.58/0.84 % 0.58/0.84 cnf(cls_neg__le__0__iff__le_0,axiom, % 0.58/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.58/0.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.58/0.84 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_neg__le__0__iff__le_1,axiom, % 0.58/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.58/0.85 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_abs__less__iff_2,axiom, % 0.58/0.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.58/0.85 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) % 0.58/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.58/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_mult__le__0__iff_0,axiom, % 0.58/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.58/0.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.58/0.85 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_mult__le__0__iff_1,axiom, % 0.58/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.58/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.58/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.58/0.85 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_mult__le__0__iff_2,axiom, % 0.58/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.58/0.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/0.85 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/0.85 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_mult__le__0__iff_3,axiom, % 0.58/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.58/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.58/0.85 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/0.85 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_mult__neg__pos_0,axiom, % 0.58/0.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.58/0.85 | 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) % 0.58/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.58/0.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_mult__pos__neg_0,axiom, % 0.58/0.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.58/0.85 | 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) % 0.58/0.85 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_mult__pos__neg2_0,axiom, % 0.58/0.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.58/0.85 | 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) % 0.58/0.85 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_abs__le__D2_0,axiom, % 0.58/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.58/0.85 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.58/0.85 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_real__sqrt__ge__0__iff_1,axiom, % 0.58/0.85 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) % 0.58/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_real__sqrt__ge__0__iff_0,axiom, % 0.58/0.85 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 0.58/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_real__sqrt__ge__zero_0,axiom, % 0.58/0.85 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal) % 0.58/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_pos__add__strict_0,axiom, % 0.58/0.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.58/0.85 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.58/0.85 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.58/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_real__sqrt__eq__iff_0,axiom, % 0.58/0.85 ( c_NthRoot_Osqrt(V_x) != c_NthRoot_Osqrt(V_y) % 0.58/0.85 | V_x = V_y ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_inverse__negative__imp__negative_0,axiom, % 0.58/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/0.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.58/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_complex_Oinject_1,axiom, % 0.58/0.85 ( c_Complex_Ocomplex_OComplex(V_real1,V_real2) != c_Complex_Ocomplex_OComplex(V_real1_H,V_real2_H) % 0.58/0.85 | V_real2 = V_real2_H ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_complex_Oinject_0,axiom, % 0.58/0.85 ( c_Complex_Ocomplex_OComplex(V_real1,V_real2) != c_Complex_Ocomplex_OComplex(V_real1_H,V_real2_H) % 0.58/0.85 | V_real1 = V_real1_H ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_power__less__power__Suc_0,axiom, % 0.58/0.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.58/0.85 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),T_a) % 0.58/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_mult__mono1_0,axiom, % 0.58/0.85 ( ~ class_Ring__and__Field_Omult__mono1(T_a) % 0.58/0.85 | 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) % 0.58/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_mult__left__mono_0,axiom, % 0.58/0.85 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 0.58/0.85 | 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) % 0.58/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_mult__right__mono_0,axiom, % 0.58/0.85 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 0.58/0.85 | 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) % 0.58/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_mult__left__mono__neg_0,axiom, % 0.58/0.85 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.58/0.85 | 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) % 0.58/0.85 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/0.85 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_mult__right__mono__neg_0,axiom, % 0.58/0.85 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.58/0.85 | 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) % 0.58/0.85 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/0.85 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom, % 0.58/0.85 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.58/0.85 | ~ class_Int_Onumber__ring(T_a) % 0.58/0.85 | 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) % 0.58/0.85 | V_c = V_d % 0.58/0.85 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_sum__squares__eq__zero__iff_0,axiom, % 0.58/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.58/0.85 | 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) % 0.58/0.85 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.58/0.85 % 0.58/0.85 cnf(cls_sum__squares__eq__zero__iff_1,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.85 | 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) % 0.80/0.85 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_inverse__unique_0,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.80/0.85 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a) % 0.80/0.85 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = V_b ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_zero__le__dist_0,axiom, % 0.80/0.85 ( ~ class_RealVector_Ometric__space(T_a) % 0.80/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(V_x,V_y,T_a),tc_RealDef_Oreal) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_right__minus_0,axiom, % 0.80/0.85 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.85 | 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) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_left__minus_0,axiom, % 0.80/0.85 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.85 | 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) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_real__add__eq__0__iff_1,axiom, % 0.80/0.85 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) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_add__neg__neg_0,axiom, % 0.80/0.85 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.80/0.85 | 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) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_inverse__nonpositive__iff__nonpositive_1,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.85 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_inverse__nonpositive__iff__nonpositive_0,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.85 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_real__sqrt__le__0__iff_0,axiom, % 0.80/0.85 ( c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.80/0.85 | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_real__sqrt__le__0__iff_1,axiom, % 0.80/0.85 ( c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.80/0.85 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_dist__eq__0__iff_0,axiom, % 0.80/0.85 ( ~ class_RealVector_Ometric__space(T_a) % 0.80/0.85 | c_RealVector_Odist__class_Odist(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.80/0.85 | V_x = V_y ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_inverse__less__1__iff_0,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a) % 0.80/0.85 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_power__abs_0,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.80/0.85 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_a,T_a),V_n,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_abs__diff__less__iff_0,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) % 0.80/0.85 | ~ 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) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_cmod__unit__one_0,axiom, % 0.80/0.85 c_RealVector_Onorm__class_Onorm(c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(V_a),c_Transcendental_Osin(V_a)),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_abs__inverse_0,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.85 | 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) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_abs__of__pos_0,axiom, % 0.80/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.85 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_positive__imp__inverse__positive_0,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_inverse__positive__iff__positive_1,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_inverse__positive__iff__positive_0,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_sum__squares__gt__zero__iff_2,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.85 | 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) % 0.80/0.85 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_sum__squares__gt__zero__iff_1,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.85 | 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) % 0.80/0.85 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_dist__le__zero__iff_0,axiom, % 0.80/0.85 ( ~ class_RealVector_Ometric__space(T_a) % 0.80/0.85 | V_x = V_y % 0.80/0.85 | ~ c_lessequals(c_RealVector_Odist__class_Odist(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_abs__of__nonpos_0,axiom, % 0.80/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.85 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.80/0.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_mult__strict__left__mono__comm_0,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a) % 0.80/0.85 | 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) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_mult__less__cancel__right__disj_5,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.85 | 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) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_mult__less__cancel__right__disj_4,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.85 | 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) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_mult__strict__right__mono_0,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.80/0.85 | 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) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_mult__strict__right__mono__neg_0,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.85 | 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) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_mult__less__cancel__left__disj_5,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.85 | 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) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_mult__less__cancel__left__disj_4,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.85 | 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) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_mult__strict__left__mono_0,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.80/0.85 | 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) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_mult__strict__left__mono__neg_0,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.85 | 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) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_mult__less__cancel__left__pos_1,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.85 | 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) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_mult__less__cancel__left__pos_0,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.80/0.85 | ~ 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) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_mult__less__cancel__left__neg_1,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.85 | 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) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_mult__less__cancel__left__neg_0,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.80/0.85 | ~ 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) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_real__0__le__add__iff_0,axiom, % 0.80/0.85 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 0.80/0.85 | ~ 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) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_real__0__le__add__iff_1,axiom, % 0.80/0.85 ( 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) % 0.80/0.85 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_less__1__mult_0,axiom, % 0.80/0.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.80/0.85 | 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) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_minus__equation__iff_1,axiom, % 0.80/0.85 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.85 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_equation__minus__iff_1,axiom, % 0.80/0.85 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.85 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_equation__minus__iff_0,axiom, % 0.80/0.85 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.85 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_double__compl_0,axiom, % 0.80/0.85 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.80/0.85 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_minus__minus_0,axiom, % 0.80/0.85 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.85 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_minus__less__iff_1,axiom, % 0.80/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_minus__less__iff_0,axiom, % 0.80/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_less__minus__iff_1,axiom, % 0.80/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_less__minus__iff_0,axiom, % 0.80/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_xt1_I7_J_0,axiom, % 0.80/0.85 ( ~ class_Orderings_Oorder(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.80/0.85 | ~ c_lessequals(V_z,V_y,T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_xt1_I8_J_0,axiom, % 0.80/0.85 ( ~ class_Orderings_Oorder(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.80/0.85 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_order__less__le__trans_0,axiom, % 0.80/0.85 ( ~ class_Orderings_Opreorder(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.80/0.85 | ~ c_lessequals(V_y,V_z,T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_order__le__less__trans_0,axiom, % 0.80/0.85 ( ~ class_Orderings_Opreorder(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.80/0.85 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_order__less__imp__le_0,axiom, % 0.80/0.85 ( ~ class_Orderings_Opreorder(T_a) % 0.80/0.85 | c_lessequals(V_x,V_y,T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_order__le__less_1,axiom, % 0.80/0.85 ( ~ class_Orderings_Oorder(T_a) % 0.80/0.85 | c_lessequals(V_x,V_y,T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_less__le__not__le_2,axiom, % 0.80/0.85 ( ~ class_Orderings_Opreorder(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.80/0.85 | c_lessequals(V_y,V_x,T_a) % 0.80/0.85 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_abs__ge__self_0,axiom, % 0.80/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.85 | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_xt1_I11_J_0,axiom, % 0.80/0.85 ( ~ class_Orderings_Oorder(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.80/0.85 | V_a = V_b % 0.80/0.85 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_xt1_I12_J_0,axiom, % 0.80/0.85 ( ~ class_Orderings_Oorder(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.80/0.85 | ~ c_lessequals(V_b,V_a,T_a) % 0.80/0.85 | V_a = V_b ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_linorder__antisym__conv2_0,axiom, % 0.80/0.85 ( ~ class_Orderings_Olinorder(T_a) % 0.80/0.85 | V_x = V_y % 0.80/0.85 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.80/0.85 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_linorder__antisym__conv1_0,axiom, % 0.80/0.85 ( ~ class_Orderings_Olinorder(T_a) % 0.80/0.85 | V_x = V_y % 0.80/0.85 | ~ c_lessequals(V_x,V_y,T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_order__neq__le__trans_0,axiom, % 0.80/0.85 ( ~ class_Orderings_Oorder(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.80/0.85 | ~ c_lessequals(V_a,V_b,T_a) % 0.80/0.85 | V_a = V_b ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_order__le__neq__trans_0,axiom, % 0.80/0.85 ( ~ class_Orderings_Oorder(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.80/0.85 | V_a = V_b % 0.80/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_order__le__less_0,axiom, % 0.80/0.85 ( ~ class_Orderings_Oorder(T_a) % 0.80/0.85 | V_x = V_y % 0.80/0.85 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.80/0.85 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_order__less__le_2,axiom, % 0.80/0.85 ( ~ class_Orderings_Oorder(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.80/0.85 | V_x = V_y % 0.80/0.85 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_neg__le__iff__le_0,axiom, % 0.80/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.85 | c_lessequals(V_a,V_b,T_a) % 0.80/0.85 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_le__imp__neg__le_0,axiom, % 0.80/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.85 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.80/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_abs__le__D1_0,axiom, % 0.80/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.85 | c_lessequals(V_a,V_b,T_a) % 0.80/0.85 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_less__le__not__le_1,axiom, % 0.80/0.85 ( ~ class_Orderings_Opreorder(T_a) % 0.80/0.85 | ~ c_lessequals(V_y,V_x,T_a) % 0.80/0.85 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.80/0.85 % 0.80/0.85 cnf(cls_not__leE_0,axiom, % 0.80/0.85 ( ~ class_Orderings_Olinorder(T_a) % 0.80/0.85 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.80/0.85 | c_lessequals(V_y,V_x,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_linorder__antisym__conv2_1,axiom, % 0.80/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.80/0.86 | ~ c_lessequals(V_x,V_x,T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_linorder__antisym__conv1_1,axiom, % 0.80/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(V_x,V_x,T_a) % 0.80/0.86 | c_lessequals(V_x,V_x,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_linorder__not__less_1,axiom, % 0.80/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.80/0.86 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_linorder__not__less_0,axiom, % 0.80/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.80/0.86 | c_lessequals(V_y,V_x,T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_linorder__not__le_0,axiom, % 0.80/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.80/0.86 | c_lessequals(V_x,V_y,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_linorder__not__le_1,axiom, % 0.80/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.80/0.86 | ~ c_lessequals(V_x,V_y,T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_minus__le__iff_1,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_minus__le__iff_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_le__minus__iff_1,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.86 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_le__minus__iff_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.86 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__strict__increasing_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.80/0.86 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_b,V_c,T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__pos__nonneg_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__nonneg__pos_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_le__eq__neg_1,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.80/0.86 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_le__eq__neg_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_sum__squares__le__zero__iff_2,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__nonpos__neg_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__neg__nonpos_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_sum__squares__ge__zero_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__strict__increasing2_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.80/0.86 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_sum__squares__le__zero__iff_1,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.86 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.86 | ~ 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_sum__squares__le__zero__iff_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.86 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.86 | ~ 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__right__le__one__le_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a) % 0.80/0.86 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__left__le__one__le_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a) % 0.80/0.86 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_inverse__le__1__iff_1,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_inverse__le__1__iff_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a) % 0.80/0.86 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_minus__add__distrib_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_minus__add_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__strict__right__mono_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__less__cancel__right_1,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__less__cancel__right_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.80/0.86 | ~ 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__strict__left__mono_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__idem_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.80/0.86 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__strict__mono_H_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_of__real__eq__0__iff_0,axiom, % 0.80/0.86 ( ~ class_RealVector_Oreal__algebra__1(T_a) % 0.80/0.86 | c_RealVector_Oof__real(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.86 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_inverse__eq__iff__eq_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.80/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.86 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a) % 0.80/0.86 | V_a = V_b ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_nonzero__inverse__eq__imp__eq_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.80/0.86 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a) % 0.80/0.86 | V_a = V_b % 0.80/0.86 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_inverse__nonzero__iff__nonzero_1,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.80/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.86 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_inverse__zero_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.86 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__semiring_Opwr__mul_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.86 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_q,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),c_Power_Opower__class_Opower(V_y,V_q,T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_power__mult__distrib_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 0.80/0.86 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_power__inverse_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.80/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.86 | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_inverse__minus__eq_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.80/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_split__mult__pos__le_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_split__mult__pos__le_1,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__nonpos__nonpos_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_zero__le__square_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_zero__le__mult__iff_4,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_zero__le__mult__iff_5,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__nonneg__nonneg_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__ring_Oneg__mul_0,axiom, % 0.80/0.86 ( ~ class_Int_Onumber__ring(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_Im_Oadd_0,axiom, % 0.80/0.86 c_Complex_OIm(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_OIm(V_x),c_Complex_OIm(V_y),tc_RealDef_Oreal) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__semiring_Omul__a_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.80/0.86 | ~ 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_one__le__inverse__iff_2,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_zero__le__mult__iff_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.86 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_zero__le__mult__iff_1,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.86 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_zero__le__mult__iff_2,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.86 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_zero__le__mult__iff_3,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.86 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_neg__equal__zero_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.80/0.86 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a % 0.80/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_sum__squares__gt__zero__iff_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.86 | ~ 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult_Ominus__left_0,axiom, % 0.80/0.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__left_Ominus_0,axiom, % 0.80/0.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult_Ominus__right_0,axiom, % 0.80/0.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__right_Ominus_0,axiom, % 0.80/0.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_square__eq__iff_1,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_minus__mult__minus_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oring(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_field__inverse_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_left__inverse_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_right__inverse_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__mono_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.80/0.86 | ~ c_lessequals(V_c,V_d,T_a) % 0.80/0.86 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__mono_H_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.80/0.86 | ~ c_lessequals(V_c,V_d,T_a) % 0.80/0.86 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_of__real__minus_0,axiom, % 0.80/0.86 ( ~ class_RealVector_Oreal__algebra__1(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_of__real_Ominus_0,axiom, % 0.80/0.86 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.80/0.86 | ~ class_RealVector_Oreal__algebra__1(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_power__Suc__less_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_Im_Ominus_0,axiom, % 0.80/0.86 c_Complex_OIm(c_HOL_Ouminus__class_Ouminus(V_x,tc_Complex_Ocomplex)) = c_HOL_Ouminus__class_Ouminus(c_Complex_OIm(V_x),tc_RealDef_Oreal) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__less__cancel__left__disj_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.80/0.86 | ~ 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__less__cancel__left__disj_3,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.80/0.86 | ~ 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__less__cancel__right__disj_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.80/0.86 | ~ 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__less__cancel__right__disj_3,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.80/0.86 | ~ 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_complex__Re__i_0,axiom, % 0.80/0.86 c_Complex_ORe(c_Complex_Oii) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_sin__zero_0,axiom, % 0.80/0.86 c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_Complex__eq__i_0,axiom, % 0.80/0.86 ( c_Complex_Ocomplex_OComplex(V_x,V_y) != c_Complex_Oii % 0.80/0.86 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_real__sqrt__zero_0,axiom, % 0.80/0.86 c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_one__less__inverse__iff_1,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_inverse__add_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_division__ring__inverse__add_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_group__add__class_Odiff__0_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_Deriv_Oinverse__diff__inverse_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_real__diff__def_0,axiom, % 0.80/0.86 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) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_dist__triangle_0,axiom, % 0.80/0.86 ( ~ class_RealVector_Ometric__space(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_dist__triangle2_0,axiom, % 0.80/0.86 ( ~ class_RealVector_Ometric__space(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_dist__triangle3_0,axiom, % 0.80/0.86 ( ~ class_RealVector_Ometric__space(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_sin__minus_0,axiom, % 0.80/0.86 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) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_abs__leI_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.80/0.86 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_abs__le__iff_2,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.80/0.86 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_abs__minus__cancel_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_not__square__less__zero_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.86 | ~ 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__le__0__iff_4,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__le__0__iff_5,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.80/0.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_split__mult__neg__le_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_split__mult__neg__le_1,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.80/0.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__nonneg__nonpos_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__nonpos__nonneg_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.80/0.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__nonneg__nonpos2_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_inverse__mult__distrib_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.80/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_nonzero__inverse__mult__distrib_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_abs__le__zero__iff_1,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_nonzero__inverse__inverse__eq_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.80/0.86 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a % 0.80/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_cos__zero_0,axiom, % 0.80/0.86 c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_dist__commute_0,axiom, % 0.80/0.86 ( ~ class_RealVector_Ometric__space(T_a) % 0.80/0.86 | c_RealVector_Odist__class_Odist(V_x,V_y,T_a) = c_RealVector_Odist__class_Odist(V_y,V_x,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_neg__0__le__iff__le_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.86 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_neg__0__le__iff__le_1,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_nonzero__abs__inverse_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_inverse__positive__imp__positive_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.80/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_real__sqrt__eq__zero__cancel_0,axiom, % 0.80/0.86 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) % 0.80/0.86 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_inverse__less__imp__less_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.80/0.86 | ~ 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_less__imp__inverse__less_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_inverse__less__imp__less__neg_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_less__imp__inverse__less__neg_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_zero__le__power__abs_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_a,T_a),V_n,T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_inverse__nonnegative__iff__nonnegative_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_inverse__nonnegative__iff__nonnegative_1,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_Im_0,axiom, % 0.80/0.86 c_Complex_OIm(c_Complex_Ocomplex_OComplex(V_x,V_y)) = V_y ). % 0.80/0.86 % 0.80/0.86 cnf(cls_cos__one__sin__zero_0,axiom, % 0.80/0.86 ( c_Transcendental_Ocos(V_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) % 0.80/0.86 | c_Transcendental_Osin(V_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_real__sqrt__eq__0__iff_0,axiom, % 0.80/0.86 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.80/0.86 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__less__cancel__left_1,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__less__cancel__left_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.80/0.86 | ~ 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_abs__add__abs_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_minus__add__cancel_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.86 | 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 ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__cancel__end_1,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.80/0.86 | 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 ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__strict__mono_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.80/0.86 | ~ class_Int_Onumber__ring(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | V_y = V_z % 0.80/0.86 | V_w = V_x ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__ringb_Onoteq__reduce_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.80/0.86 | ~ class_Int_Onumber__ring(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | V_c = V_d % 0.80/0.86 | V_a = V_b ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_comm__semiring__class_Odistrib_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__semiring_Omul__d_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult_Oadd__left_0,axiom, % 0.80/0.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__left_Oadd_0,axiom, % 0.80/0.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult_Oadd__right_0,axiom, % 0.80/0.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__right_Oadd_0,axiom, % 0.80/0.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__minus__cancel_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.86 | 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 ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_double__eq__0__iff_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.80/0.86 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.80/0.86 | ~ class_Int_Onumber__ring(T_a) % 0.80/0.86 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a) % 0.80/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.80/0.86 | ~ class_Int_Onumber__ring(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__ringb_Onoteq__reduce_1,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.80/0.86 | ~ class_Int_Onumber__ring(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_double__eq__0__iff_1,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_combine__common__factor_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Osemiring(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__cancel__end_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.80/0.86 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y % 0.80/0.86 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.80/0.86 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__0__left_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.80/0.86 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.80/0.86 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.80/0.86 | ~ class_Int_Onumber__ring(T_a) % 0.80/0.86 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__semiring_Oadd__0_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.86 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.80/0.86 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.86 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.86 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_zero__less__two_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_inverse__1_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.80/0.86 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_inverse__eq__1__iff_1,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.80/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.86 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_power__one_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.80/0.86 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_zero__neq__one_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.80/0.86 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_abs__one_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.80/0.86 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_one__neq__zero_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.80/0.86 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__1__right_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.80/0.86 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__1__left_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.80/0.86 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__1_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 0.80/0.86 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__semiring_Omul__1_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.86 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.86 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.86 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_inverse__eq__1__iff_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.80/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.86 | c_HOL_Oinverse__class_Oinverse(V_x,T_a) != c_HOL_Oone__class_Oone(T_a) % 0.80/0.86 | V_x = c_HOL_Oone__class_Oone(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_abs__diff__less__iff_1,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a) % 0.80/0.86 | ~ 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_less__add__iff2_1,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | ~ 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_less__add__iff2_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | ~ 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_less__add__iff1_1,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | ~ 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_less__add__iff1_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | ~ 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_abs__diff__less__iff_2,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.80/0.86 | 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) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_Lim_Ominus__diff__minus_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_abs__minus__commute_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_less__eqI_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.86 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_less__eqI_1,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.86 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.80/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.80/0.86 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_eq__iff__diff__eq__0_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.80/0.86 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_right__minus__eq_1,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.86 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_diff__0__right_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.86 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_diff__self_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.86 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__ringb_Osubr0__iff_1,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.80/0.86 | ~ class_Int_Onumber__ring(T_a) % 0.80/0.86 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_eq__iff__diff__eq__0_1,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.80/0.86 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.86 | V_a = V_b ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_right__minus__eq_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.86 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.86 | V_a = V_b ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_class__ringb_Osubr0__iff_0,axiom, % 0.80/0.86 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.80/0.86 | ~ class_Int_Onumber__ring(T_a) % 0.80/0.86 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.86 | V_x = V_y ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__right_Odiff_0,axiom, % 0.80/0.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult_Odiff__right_0,axiom, % 0.80/0.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult_Odiff__left_0,axiom, % 0.80/0.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_mult__left_Odiff_0,axiom, % 0.80/0.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_minus__diff__eq_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_real__sqrt__le__iff_0,axiom, % 0.80/0.86 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 0.80/0.86 | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_real__sqrt__le__iff_1,axiom, % 0.80/0.86 ( c_lessequals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) % 0.80/0.86 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_real__add__left__mono_0,axiom, % 0.80/0.86 ( 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) % 0.80/0.86 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_norm__le__zero__iff_1,axiom, % 0.80/0.86 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_norm__le__zero__iff_0,axiom, % 0.80/0.86 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.80/0.86 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.86 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_real__sqrt__one_0,axiom, % 0.80/0.86 c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_real__zero__not__eq__one_0,axiom, % 0.80/0.86 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_real__sqrt__eq__1__iff_0,axiom, % 0.80/0.86 ( c_NthRoot_Osqrt(V_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) % 0.80/0.86 | V_x = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_norm__minus__cancel_0,axiom, % 0.80/0.86 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.80/0.86 | 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) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_i__def_0,axiom, % 0.80/0.86 c_Complex_Oii = c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_Complex__eq__i_2,axiom, % 0.80/0.86 c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_Complex_Oii ). % 0.80/0.86 % 0.80/0.86 cnf(cls_Complex__eq__1_2,axiom, % 0.80/0.86 c_Complex_Ocomplex_OComplex(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_complex__one__def_0,axiom, % 0.80/0.86 c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__nonpos__nonpos_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.80/0.86 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__nonneg__nonneg_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.80/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_estimate__by__abs_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 0.80/0.86 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__nonneg__eq__0__iff_1,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.80/0.86 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.80/0.86 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__nonneg__eq__0__iff_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.80/0.86 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.80/0.86 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.86 % 0.80/0.86 cnf(cls_add__increasing2_0,axiom, % 0.80/0.86 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.80/0.86 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.80/0.86 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.80/0.86 | ~ c_lessequals(V_b,V_a,T_a) % 0.80/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.80/0.86 % 0.80/0.87 cnf(cls_add__increasing_0,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.80/0.87 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.80/0.87 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.80/0.87 | ~ c_lessequals(V_b,V_c,T_a) % 0.80/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_add__nonneg__eq__0__iff_2,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.80/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.87 | 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) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_abs__triangle__ineq_0,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.87 | 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) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_add__less__le__mono_0,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.80/0.87 | 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) % 0.80/0.87 | ~ c_lessequals(V_c,V_d,T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_add__le__less__mono_0,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.80/0.87 | 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) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.80/0.87 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_not__one__le__zero_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.80/0.87 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_one__le__inverse__iff_1,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.87 | c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 0.80/0.87 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_zero__le__one_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.80/0.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_complex__minus_0,axiom, % 0.80/0.87 c_HOL_Ouminus__class_Ouminus(c_Complex_Ocomplex_OComplex(V_a,V_b),tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_HOL_Ouminus__class_Ouminus(V_a,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(V_b,tc_RealDef_Oreal)) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_zero__le__power__iff_1,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.80/0.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.80/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_zero__le__power_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.80/0.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.80/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_le__minus__self__iff_0,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.80/0.87 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.87 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_le__minus__self__iff_1,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.80/0.87 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.80/0.87 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_minus__le__self__iff_0,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.80/0.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.80/0.87 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_minus__le__self__iff_1,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.80/0.87 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) % 0.80/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_less__eq__neg__nonpos_0,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.80/0.87 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.87 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_less__eq__neg__nonpos_1,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.80/0.87 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.80/0.87 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_neg__less__eq__nonneg_0,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.80/0.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.80/0.87 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_neg__less__eq__nonneg_1,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.80/0.87 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) % 0.80/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_abs__idempotent_0,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.87 | 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) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_zero__less__abs__iff_1,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) % 0.80/0.87 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_complex__add_0,axiom, % 0.80/0.87 c_HOL_Oplus__class_Oplus(c_Complex_Ocomplex_OComplex(V_a,V_b),c_Complex_Ocomplex_OComplex(V_c,V_d),tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_HOL_Oplus__class_Oplus(V_a,V_c,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_b,V_d,tc_RealDef_Oreal)) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_complex__minus__def_0,axiom, % 0.80/0.87 c_HOL_Ouminus__class_Ouminus(V_x,tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_HOL_Ouminus__class_Ouminus(c_Complex_ORe(V_x),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_Complex_OIm(V_x),tc_RealDef_Oreal)) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_real__sqrt__minus_0,axiom, % 0.80/0.87 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) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_norm__zero_0,axiom, % 0.80/0.87 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.80/0.87 | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_power__minus_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oring__1(T_a) % 0.80/0.87 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_n,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_inverse__le__imp__le_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.87 | c_lessequals(V_b,V_a,T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.80/0.87 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_le__imp__inverse__le_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.87 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.80/0.87 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_inverse__le__imp__le__neg_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.87 | c_lessequals(V_b,V_a,T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.87 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_le__imp__inverse__le__neg_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.87 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.87 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_power__commutes_0,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.80/0.87 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_of__real__diff_0,axiom, % 0.80/0.87 ( ~ class_RealVector_Oreal__algebra__1(T_a) % 0.80/0.87 | 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) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_of__real_Odiff_0,axiom, % 0.80/0.87 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.80/0.87 | ~ class_RealVector_Oreal__algebra__1(T_a) % 0.80/0.87 | 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) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_abs__ge__minus__self_0,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.87 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_Re_Odiff_0,axiom, % 0.80/0.87 c_Complex_ORe(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Ominus__class_Ominus(c_Complex_ORe(V_x),c_Complex_ORe(V_y),tc_RealDef_Oreal) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_zero__less__power_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_real__add__eq__0__iff_0,axiom, % 0.80/0.87 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.80/0.87 | V_y = c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_minus__unique_0,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.87 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.87 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_eq__neg__iff__add__eq__0_1,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.87 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.87 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_not__one__less__zero_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_abs__less__iff_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_abs__mult__self_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.80/0.87 | 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) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_nonzero__power__inverse_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.80/0.87 | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a) % 0.80/0.87 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_nonzero__inverse__minus__eq_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.80/0.87 | 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) % 0.80/0.87 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.87 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.87 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_mult__left_Ozero_0,axiom, % 0.80/0.87 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.80/0.87 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_mult_Ozero__left_0,axiom, % 0.80/0.87 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.80/0.87 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_mult_Ozero__right_0,axiom, % 0.80/0.87 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.80/0.87 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_mult__right_Ozero_0,axiom, % 0.80/0.87 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.80/0.87 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_class__semiring_Omul__0_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.87 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_mult__zero__left_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.80/0.87 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_mult__zero__right_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.80/0.87 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_mult__eq__0__iff_1,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.80/0.87 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_mult__eq__0__iff_2,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.80/0.87 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_abs__power__minus_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.80/0.87 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a),T_a) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_abs__mult__pos_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.80/0.87 | 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) % 0.80/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_linorder__neq__iff_1,axiom, % 0.80/0.87 ( ~ class_Orderings_Olinorder(T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_order__less__le_1,axiom, % 0.80/0.87 ( ~ class_Orderings_Oorder(T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_order__less__irrefl_0,axiom, % 0.80/0.87 ( ~ class_Orderings_Opreorder(T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_add__pos__pos_0,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.80/0.87 | 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) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_inverse__negative__iff__negative_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_inverse__negative__iff__negative_1,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_negative__imp__inverse__negative_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_real__le__eq__diff_1,axiom, % 0.80/0.87 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 0.80/0.87 | ~ 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) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_real__le__eq__diff_0,axiom, % 0.80/0.87 ( 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) % 0.80/0.87 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_one__less__inverse__iff_2,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_complex__equality_0,axiom, % 0.80/0.87 ( c_Complex_OIm(V_x) != c_Complex_OIm(V_y) % 0.80/0.87 | c_Complex_ORe(V_x) != c_Complex_ORe(V_y) % 0.80/0.87 | V_x = V_y ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_of__real__add_0,axiom, % 0.80/0.87 ( ~ class_RealVector_Oreal__algebra__1(T_a) % 0.80/0.87 | 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) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_of__real_Oadd_0,axiom, % 0.80/0.87 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.80/0.87 | ~ class_RealVector_Oreal__algebra__1(T_a) % 0.80/0.87 | 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) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_cos__minus_0,axiom, % 0.80/0.87 c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_Transcendental_Ocos(V_x) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_less__iff__diff__less__0_0,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.87 | 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) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_less__iff__diff__less__0_1,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.80/0.87 | ~ 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) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_abs__not__less__zero_0,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_zero__less__one_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_neg__0__equal__iff__equal_1,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.87 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_complex__surj_0,axiom, % 0.80/0.87 c_Complex_Ocomplex_OComplex(c_Complex_ORe(V_z),c_Complex_OIm(V_z)) = V_z ). % 0.80/0.87 % 0.80/0.87 cnf(cls_inverse__nonzero__iff__nonzero_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.80/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.87 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.87 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_inverse__zero__imp__zero_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.80/0.87 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.87 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_mult__le__less__imp__less_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.80/0.87 | 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) % 0.80/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.80/0.87 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_mult__less__le__imp__less_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.80/0.87 | 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) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.80/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.80/0.87 | ~ c_lessequals(V_c,V_d,T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_power__inject__exp_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.80/0.87 | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) % 0.80/0.87 | V_m = V_n ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_minus__mult__commute_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oring(T_a) % 0.80/0.87 | 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) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_minus__zero_0,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.87 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_neg__equal__zero_1,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.80/0.87 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_abs__if__lattice_1,axiom, % 0.80/0.87 ( ~ class_Orderings_Olinorder(T_a) % 0.80/0.87 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 0.80/0.87 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 0.80/0.87 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_abs__if_1,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oabs__if(T_a) % 0.80/0.87 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 0.80/0.87 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_abs__eq__0_0,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.87 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.87 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_zero__less__abs__iff_0,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.87 | ~ 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) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_Re_Oadd_0,axiom, % 0.80/0.87 c_Complex_ORe(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_ORe(V_x),c_Complex_ORe(V_y),tc_RealDef_Oreal) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_inverse__less__1__iff_2,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_division__ring__inverse__diff_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.80/0.87 | 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) % 0.80/0.87 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.80/0.87 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_sum__squares__eq__zero__iff_2,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.87 | 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) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_mult__less__cancel__left__disj_1,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.80/0.87 | ~ 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) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_mult__less__cancel__left__disj_2,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.80/0.87 | ~ 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) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_mult__less__cancel__right__disj_1,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.80/0.87 | ~ 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) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_mult__less__cancel__right__disj_2,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.80/0.87 | ~ 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) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_Re_0,axiom, % 0.80/0.87 c_Complex_ORe(c_Complex_Ocomplex_OComplex(V_x,V_y)) = V_x ). % 0.80/0.87 % 0.80/0.87 cnf(cls_neg__0__less__iff__less_0,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_neg__0__less__iff__less_1,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_less__minus__self__iff_0,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_less__minus__self__iff_1,axiom, % 0.80/0.87 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.80/0.87 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_abs__ge__zero_0,axiom, % 0.80/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_complex__Im__one_0,axiom, % 0.80/0.87 c_Complex_OIm(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 0.80/0.87 % 0.80/0.87 cnf(cls_order__less__asym_H_0,axiom, % 0.80/0.87 ( ~ class_Orderings_Opreorder(T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.80/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_order__less__asym_0,axiom, % 0.80/0.88 ( ~ class_Orderings_Opreorder(T_a) % 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_xt1_I9_J_0,axiom, % 0.80/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_inverse__le__1__iff_2,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.80/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.80/0.88 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.80/0.88 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_one__le__power_0,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.80/0.88 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.80/0.88 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_less__add__one_0,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_le__iff__diff__le__0_1,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.88 | c_lessequals(V_a,V_b,T_a) % 0.80/0.88 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_le__iff__diff__le__0_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.88 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.80/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_abs__triangle__ineq2_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_abs__triangle__ineq3_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_eq__add__iff2_0,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Oring(T_a) % 0.80/0.88 | 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) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_eq__add__iff1_0,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Oring(T_a) % 0.80/0.88 | 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) % 0.80/0.88 | 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 ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_eq__add__iff1_1,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Oring(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_ab__diff__minus_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_diff__minus_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_class__ring_Osub__add_0,axiom, % 0.80/0.88 ( ~ class_Int_Onumber__ring(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_diff__def_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_eq__add__iff2_1,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Oring(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_mult_Oprod__diff__prod_0,axiom, % 0.80/0.88 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_diff__minus__eq__add_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_of__real__1_0,axiom, % 0.80/0.88 ( ~ class_RealVector_Oreal__algebra__1(T_a) % 0.80/0.88 | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_real__sqrt__ge__one_0,axiom, % 0.80/0.88 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal) % 0.80/0.88 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_real__sqrt__ge__1__iff_0,axiom, % 0.80/0.88 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 0.80/0.88 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_real__sqrt__ge__1__iff_1,axiom, % 0.80/0.88 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) % 0.80/0.88 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_real__sqrt__le__1__iff_0,axiom, % 0.80/0.88 ( c_lessequals(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.80/0.88 | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_real__sqrt__le__1__iff_1,axiom, % 0.80/0.88 ( c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.80/0.88 | ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_sin__le__one_0,axiom, % 0.80/0.88 c_lessequals(c_Transcendental_Osin(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_cos__le__one_0,axiom, % 0.80/0.88 c_lessequals(c_Transcendental_Ocos(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_dist__norm_0,axiom, % 0.80/0.88 ( ~ class_RealVector_Odist__norm(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_norm__ge__zero_0,axiom, % 0.80/0.88 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.80/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_complex__mod__minus__le__complex__mod_0,axiom, % 0.80/0.88 c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_complex__Re__le__cmod_0,axiom, % 0.80/0.88 c_lessequals(c_Complex_ORe(V_x),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_Complex__eq__i_1,axiom, % 0.80/0.88 ( c_Complex_Ocomplex_OComplex(V_x,V_y) != c_Complex_Oii % 0.80/0.88 | V_y = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_complex__Im__i_0,axiom, % 0.80/0.88 c_Complex_OIm(c_Complex_Oii) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_complex__Re__one_0,axiom, % 0.80/0.88 c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_Complex__eq__1_0,axiom, % 0.80/0.88 ( c_Complex_Ocomplex_OComplex(V_a,V_b) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) % 0.80/0.88 | V_a = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_dist__complex__def_0,axiom, % 0.80/0.88 c_RealVector_Odist__class_Odist(V_x,V_y,tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_complex__diff__def_0,axiom, % 0.80/0.88 c_HOL_Ominus__class_Ominus(V_x,V_y,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_abs__triangle__ineq4_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_abs__diff__triangle__ineq_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_le__add__iff2_1,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.80/0.88 | 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) % 0.80/0.88 | ~ 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_le__add__iff2_0,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.80/0.88 | 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) % 0.80/0.88 | ~ 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_le__add__iff1_1,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.80/0.88 | 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) % 0.80/0.88 | ~ 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_le__add__iff1_0,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.80/0.88 | 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) % 0.80/0.88 | ~ 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_norm__triangle__ineq_0,axiom, % 0.80/0.88 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_norm__diff__ineq_0,axiom, % 0.80/0.88 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_norm__triangle__ineq2_0,axiom, % 0.80/0.88 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_norm__triangle__ineq4_0,axiom, % 0.80/0.88 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_complex__mod__triangle__sub_0,axiom, % 0.80/0.88 c_lessequals(c_RealVector_Onorm__class_Onorm(V_w,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_w,V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_complex__mod__triangle__ineq2_0,axiom, % 0.80/0.88 c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_b,V_a,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(V_b,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_a,tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_norm__diff__triangle__ineq_0,axiom, % 0.80/0.88 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_real__le__linear_0,axiom, % 0.80/0.88 ( c_lessequals(V_w,V_z,tc_RealDef_Oreal) % 0.80/0.88 | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_linorder__linear_0,axiom, % 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.80/0.88 | c_lessequals(V_y,V_x,T_a) % 0.80/0.88 | c_lessequals(V_x,V_y,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_xt1_I6_J_0,axiom, % 0.80/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.80/0.88 | c_lessequals(V_z,V_x,T_a) % 0.80/0.88 | ~ c_lessequals(V_z,V_y,T_a) % 0.80/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_order__trans_0,axiom, % 0.80/0.88 ( ~ class_Orderings_Opreorder(T_a) % 0.80/0.88 | c_lessequals(V_x,V_z,T_a) % 0.80/0.88 | ~ c_lessequals(V_y,V_z,T_a) % 0.80/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_le__add__right__mono_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.88 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 0.80/0.88 | ~ c_lessequals(V_c,V_d,T_a) % 0.80/0.88 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_real__le__refl_0,axiom, % 0.80/0.88 c_lessequals(V_w,V_w,tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_real__le__trans_0,axiom, % 0.80/0.88 ( c_lessequals(V_i,V_k,tc_RealDef_Oreal) % 0.80/0.88 | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal) % 0.80/0.88 | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_order__eq__iff_0,axiom, % 0.80/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.80/0.88 | c_lessequals(V_x,V_x,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_order__eq__refl_0,axiom, % 0.80/0.88 ( ~ class_Orderings_Opreorder(T_a) % 0.80/0.88 | c_lessequals(V_x,V_x,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_md_0,axiom, % 0.80/0.88 c_RealVector_Onorm__class_Onorm(v_z,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.80/0.88 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_class__semiring_Oadd__c_0,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.88 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.88 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_complex__i__not__one_0,axiom, % 0.80/0.88 c_Complex_Oii != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_add__mono_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.80/0.88 | 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) % 0.80/0.88 | ~ c_lessequals(V_c,V_d,T_a) % 0.80/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_add__cancel__21_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.80/0.88 | 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) % 0.80/0.88 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_norm__one_0,axiom, % 0.80/0.88 ( ~ class_RealVector_Oreal__normed__algebra__1(T_a) % 0.80/0.88 | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_add__right__cancel_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.80/0.88 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) % 0.80/0.88 | V_b = V_c ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_add__left__cancel_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.80/0.88 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 0.80/0.88 | V_b = V_c ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_add__imp__eq_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 0.80/0.88 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 0.80/0.88 | V_b = V_c ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.80/0.88 | ~ class_Int_Onumber__ring(T_a) % 0.80/0.88 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) % 0.80/0.88 | V_y = V_z ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_le__eqI_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.80/0.88 | c_lessequals(V_y_H,V_x_H,T_a) % 0.80/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_le__eqI_1,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.80/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.80/0.88 | c_lessequals(V_y,V_x,T_a) % 0.80/0.88 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_add__le__cancel__right_1,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.80/0.88 | 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) % 0.80/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_add__le__cancel__right_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.80/0.88 | c_lessequals(V_a,V_b,T_a) % 0.80/0.88 | ~ 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_add__le__cancel__left_1,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.80/0.88 | 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) % 0.80/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_add__le__cancel__left_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.80/0.88 | c_lessequals(V_a,V_b,T_a) % 0.80/0.88 | ~ 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_add__right__mono_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.80/0.88 | 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) % 0.80/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_add__left__mono_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.80/0.88 | 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) % 0.80/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_order__antisym__conv_0,axiom, % 0.80/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.80/0.88 | V_x = V_y % 0.80/0.88 | ~ c_lessequals(V_x,V_y,T_a) % 0.80/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_order__eq__iff_2,axiom, % 0.80/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.80/0.88 | V_x = V_y % 0.80/0.88 | ~ c_lessequals(V_y,V_x,T_a) % 0.80/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_order__antisym_0,axiom, % 0.80/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.80/0.88 | V_x = V_y % 0.80/0.88 | ~ c_lessequals(V_y,V_x,T_a) % 0.80/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_real__le__antisym_0,axiom, % 0.80/0.88 ( V_z = V_w % 0.80/0.88 | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal) % 0.80/0.88 | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_diff__add__cancel_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.88 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_class__semiring_Oadd__a_0,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_add__cancel__21_1,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 0.80/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_eq__eqI_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.80/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.80/0.88 | V_x_H = V_y_H ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_eq__eqI_1,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.80/0.88 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 0.80/0.88 | V_xa = V_y ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_Deriv_Oadd__diff__add_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_norm__minus__commute_0,axiom, % 0.80/0.88 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.80/0.88 | 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) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_add__diff__cancel_0,axiom, % 0.80/0.88 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.80/0.88 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_CHAINED_0,axiom, % 0.80/0.88 ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_z,c_Complex_Oii,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) % 0.80/0.88 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_z,c_Complex_Oii,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) % 0.80/0.88 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_z,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) % 0.80/0.88 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_z,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_conjecture_0,negated_conjecture, % 0.80/0.88 c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_z,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_conjecture_1,negated_conjecture, % 0.80/0.88 c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_z,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_conjecture_2,negated_conjecture, % 0.80/0.88 c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(v_z,c_Complex_Oii,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(cls_conjecture_3,negated_conjecture, % 0.80/0.88 c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_z,c_Complex_Oii,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.80/0.88 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.80/0.88 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.80/0.88 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.80/0.88 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.80/0.88 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.80/0.88 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.80/0.88 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.80/0.88 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.80/0.88 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom, % 0.80/0.88 class_Ring__and__Field_Opordered__semiring(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom, % 0.80/0.88 class_Ring__and__Field_Oordered__semiring(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom, % 0.80/0.88 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom, % 0.80/0.88 class_Ring__and__Field_Oordered__semidom(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.80/0.88 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom, % 0.80/0.88 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.80/0.88 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 0.80/0.88 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom, % 0.80/0.88 class_Ring__and__Field_Ocomm__semiring(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 0.80/0.88 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom, % 0.80/0.88 class_Ring__and__Field_Ozero__neq__one(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom, % 0.80/0.88 class_Ring__and__Field_Omult__mono1(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom, % 0.80/0.88 class_Ring__and__Field_Omult__zero(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom, % 0.80/0.88 class_Ring__and__Field_Omult__mono(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom, % 0.80/0.88 class_OrderedGroup_Omonoid__mult(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom, % 0.80/0.88 class_Ring__and__Field_Osemiring(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom, % 0.80/0.88 class_OrderedGroup_Omonoid__add(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 0.80/0.88 class_Orderings_Opreorder(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 0.80/0.88 class_Orderings_Olinorder(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__Orderings_Oorder,axiom, % 0.80/0.88 class_Orderings_Oorder(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_nat__Power_Opower,axiom, % 0.80/0.88 class_Power_Opower(tc_nat) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.80/0.88 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.80/0.88 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.80/0.88 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.80/0.88 class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1__no__zero__divisors,axiom, % 0.80/0.88 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.80/0.88 class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.80/0.88 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom, % 0.80/0.88 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom, % 0.80/0.88 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.80/0.88 class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.80/0.88 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.80/0.88 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom, % 0.80/0.88 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom, % 0.80/0.88 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom, % 0.80/0.88 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom, % 0.80/0.88 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.80/0.88 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom, % 0.80/0.88 class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs,axiom, % 0.80/0.88 class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom, % 0.80/0.88 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom, % 0.80/0.88 class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom, % 0.80/0.88 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom, % 0.80/0.88 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom, % 0.80/0.88 class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.80/0.88 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom, % 0.80/0.88 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom, % 0.80/0.88 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom, % 0.80/0.88 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.80/0.88 class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom, % 0.80/0.88 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom, % 0.80/0.88 class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom, % 0.80/0.88 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring,axiom, % 0.80/0.88 class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring,axiom, % 0.80/0.88 class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom, % 0.80/0.88 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom, % 0.80/0.88 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom, % 0.80/0.88 class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom, % 0.80/0.88 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom, % 0.80/0.88 class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra__1,axiom, % 0.80/0.88 class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom, % 0.80/0.88 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom, % 0.80/0.88 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom, % 0.80/0.88 class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,axiom, % 0.80/0.88 class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom, % 0.80/0.88 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__RealVector_Ometric__space,axiom, % 0.80/0.88 class_RealVector_Ometric__space(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom, % 0.80/0.88 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom, % 0.80/0.88 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1,axiom, % 0.80/0.88 class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,axiom, % 0.80/0.88 class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom, % 0.80/0.88 class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__RealVector_Odist__norm,axiom, % 0.80/0.88 class_RealVector_Odist__norm(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom, % 0.80/0.88 class_Ring__and__Field_Oring(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom, % 0.80/0.88 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom, % 0.80/0.88 class_Orderings_Opreorder(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom, % 0.80/0.88 class_Orderings_Olinorder(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom, % 0.80/0.88 class_Orderings_Oorder(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom, % 0.80/0.88 class_Int_Onumber__ring(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_RealDef__Oreal__Power_Opower,axiom, % 0.80/0.88 class_Power_Opower(tc_RealDef_Oreal) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors,axiom, % 0.80/0.88 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.80/0.88 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.80/0.88 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.80/0.88 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom, % 0.80/0.88 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom, % 0.80/0.88 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom, % 0.80/0.88 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.80/0.88 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom, % 0.80/0.88 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom, % 0.80/0.88 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom, % 0.80/0.88 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.80/0.88 class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom, % 0.80/0.88 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,axiom, % 0.80/0.88 class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom, % 0.80/0.88 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom, % 0.80/0.88 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom, % 0.80/0.88 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1,axiom, % 0.80/0.88 class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom, % 0.80/0.88 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom, % 0.80/0.88 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom, % 0.80/0.88 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom, % 0.80/0.88 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__RealVector_Ometric__space,axiom, % 0.80/0.88 class_RealVector_Ometric__space(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom, % 0.80/0.88 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom, % 0.80/0.88 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1,axiom, % 0.80/0.88 class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom, % 0.80/0.88 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__RealVector_Odist__norm,axiom, % 0.80/0.88 class_RealVector_Odist__norm(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom, % 0.80/0.88 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom, % 0.80/0.88 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom, % 0.80/0.88 class_Int_Onumber__ring(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 cnf(clsarity_Complex__Ocomplex__Power_Opower,axiom, % 0.80/0.88 class_Power_Opower(tc_Complex_Ocomplex) ). % 0.80/0.88 % 0.80/0.88 %------------------------------------------------------------------------------ % 0.80/0.88 %------------------------------------------- % 0.80/0.88 % Proof found % 0.80/0.88 % SZS status Theorem for theBenchmark % 0.80/0.88 % SZS output start Proof % 0.80/0.88 %ClaNum:849(EqnAxiom:104) % 0.80/0.88 %VarNum:4919(SingletonVarNum:1507) % 0.80/0.88 %MaxLitNum:6 % 0.80/0.88 %MaxfuncDepth:4 % 0.80/0.88 %SharedTerms:164 % 0.80/0.88 %goalClause: 263 264 265 266 % 0.80/0.88 %singleGoalClaCount:4 % 0.80/0.88 [105]P1(a1) % 0.80/0.88 [106]P1(a21) % 0.80/0.88 [107]P1(a22) % 0.80/0.88 [108]P2(a21) % 0.80/0.88 [109]P2(a22) % 0.80/0.88 [110]P28(a21) % 0.80/0.88 [111]P28(a22) % 0.80/0.88 [112]P3(a21) % 0.80/0.88 [113]P4(a1) % 0.80/0.88 [114]P4(a21) % 0.80/0.88 [115]P38(a21) % 0.80/0.88 [116]P38(a22) % 0.80/0.88 [117]P39(a21) % 0.80/0.88 [118]P52(a21) % 0.80/0.88 [119]P52(a22) % 0.80/0.88 [120]P51(a21) % 0.80/0.88 [121]P40(a21) % 0.80/0.88 [122]P41(a1) % 0.80/0.88 [123]P41(a21) % 0.80/0.88 [124]P5(a1) % 0.80/0.88 [125]P5(a21) % 0.80/0.88 [126]P42(a1) % 0.80/0.88 [127]P42(a21) % 0.80/0.88 [128]P17(a21) % 0.80/0.88 [129]P43(a21) % 0.80/0.88 [130]P29(a1) % 0.80/0.88 [131]P29(a21) % 0.80/0.88 [132]P33(a1) % 0.80/0.88 [133]P33(a21) % 0.80/0.88 [134]P53(a21) % 0.80/0.88 [135]P53(a22) % 0.80/0.88 [136]P44(a1) % 0.80/0.88 [137]P44(a21) % 0.80/0.88 [138]P23(a21) % 0.80/0.88 [139]P23(a22) % 0.80/0.88 [140]P18(a21) % 0.80/0.88 [141]P36(a21) % 0.80/0.88 [142]P46(a1) % 0.80/0.88 [143]P46(a21) % 0.80/0.88 [144]P46(a22) % 0.80/0.88 [145]P54(a1) % 0.80/0.88 [146]P54(a21) % 0.80/0.88 [147]P19(a21) % 0.80/0.88 [148]P30(a1) % 0.80/0.88 [149]P30(a21) % 0.80/0.88 [150]P55(a21) % 0.80/0.88 [151]P58(a1) % 0.80/0.88 [152]P58(a21) % 0.80/0.88 [153]P62(a1) % 0.80/0.88 [154]P62(a21) % 0.80/0.88 [155]P62(a22) % 0.80/0.88 [156]P47(a1) % 0.80/0.88 [157]P47(a21) % 0.80/0.88 [158]P47(a22) % 0.80/0.88 [159]P31(a1) % 0.80/0.88 [160]P31(a21) % 0.80/0.88 [161]P31(a22) % 0.80/0.88 [162]P60(a1) % 0.80/0.88 [163]P60(a21) % 0.80/0.88 [164]P48(a21) % 0.80/0.88 [165]P48(a22) % 0.80/0.88 [166]P49(a21) % 0.80/0.88 [167]P49(a22) % 0.80/0.88 [168]P56(a21) % 0.80/0.88 [169]P6(a1) % 0.80/0.88 [170]P6(a21) % 0.80/0.88 [171]P24(a21) % 0.80/0.88 [172]P24(a22) % 0.80/0.88 [173]P50(a21) % 0.80/0.88 [174]P50(a22) % 0.80/0.88 [175]P25(a21) % 0.80/0.88 [176]P25(a22) % 0.80/0.88 [177]P10(a1) % 0.80/0.88 [178]P10(a21) % 0.80/0.88 [179]P10(a22) % 0.80/0.88 [180]P27(a21) % 0.80/0.88 [181]P27(a22) % 0.80/0.88 [182]P16(a1) % 0.80/0.88 [183]P16(a21) % 0.80/0.88 [184]P16(a22) % 0.80/0.88 [185]P57(a21) % 0.80/0.88 [186]P57(a22) % 0.80/0.88 [187]P11(a1) % 0.80/0.88 [188]P11(a21) % 0.80/0.88 [189]P11(a22) % 0.80/0.88 [190]P20(a21) % 0.80/0.88 [191]P34(a1) % 0.80/0.88 [192]P34(a21) % 0.80/0.88 [193]P45(a1) % 0.80/0.88 [194]P45(a21) % 0.80/0.88 [195]P59(a21) % 0.80/0.88 [196]P59(a22) % 0.80/0.88 [197]P37(a1) % 0.80/0.88 [198]P37(a21) % 0.80/0.88 [199]P37(a22) % 0.80/0.88 [200]P63(a1) % 0.80/0.88 [201]P63(a21) % 0.80/0.88 [202]P63(a22) % 0.80/0.88 [203]P21(a1) % 0.80/0.88 [204]P21(a21) % 0.80/0.88 [205]P21(a22) % 0.80/0.88 [206]P22(a1) % 0.80/0.88 [207]P22(a21) % 0.80/0.88 [208]P22(a22) % 0.80/0.88 [209]P61(a1) % 0.80/0.88 [210]P61(a21) % 0.80/0.88 [211]P32(a1) % 0.80/0.88 [212]P32(a21) % 0.80/0.88 [213]P26(a21) % 0.80/0.88 [214]P26(a22) % 0.80/0.88 [215]P35(a1) % 0.80/0.88 [216]P35(a21) % 0.80/0.88 [217]P14(a1) % 0.80/0.88 [218]P14(a21) % 0.80/0.88 [219]P14(a22) % 0.80/0.88 [220]P15(a1) % 0.80/0.88 [221]P15(a21) % 0.80/0.88 [222]P15(a22) % 0.80/0.88 [223]P12(a1) % 0.80/0.88 [224]P12(a21) % 0.80/0.88 [225]P12(a22) % 0.80/0.88 [226]E(f2(a21),f4(a3)) % 0.80/0.88 [227]E(f7(a21),f5(a3)) % 0.80/0.88 [234]E(f16(a23,a1),f7(a21)) % 0.80/0.88 [272]~E(f7(a1),a3) % 0.80/0.88 [273]~E(f7(a21),f2(a21)) % 0.80/0.88 [228]E(f4(f7(a1)),f7(a21)) % 0.80/0.88 [229]E(f5(f7(a1)),f2(a21)) % 0.80/0.88 [230]E(f14(f7(a21)),f7(a21)) % 0.80/0.88 [231]E(f14(f2(a21)),f2(a21)) % 0.80/0.88 [232]E(f15(f2(a21)),f7(a21)) % 0.80/0.88 [233]E(f20(f2(a21)),f2(a21)) % 0.80/0.88 [236]E(f6(f2(a21),f7(a21)),a3) % 0.80/0.88 [238]E(f6(f7(a21),f2(a21)),f7(a1)) % 0.80/0.88 [263]P7(f7(a21),f16(f12(a23,a3,a1),a1),a21) % 0.80/0.88 [264]P7(f7(a21),f16(f8(a23,a3,a1),a1),a21) % 0.80/0.88 [265]P7(f7(a21),f16(f12(a23,f7(a1),a1),a1),a21) % 0.80/0.88 [266]P7(f7(a21),f16(f8(a23,f7(a1),a1),a1),a21) % 0.80/0.88 [247]P7(x2471,x2471,a21) % 0.80/0.88 [248]P7(f15(x2481),f7(a21),a21) % 0.80/0.88 [249]P7(f20(x2491),f7(a21),a21) % 0.80/0.88 [252]P7(f4(x2521),f16(x2521,a1),a21) % 0.80/0.88 [239]E(f6(f4(x2391),f5(x2391)),x2391) % 0.80/0.88 [242]E(f15(f11(x2421,a21)),f15(x2421)) % 0.80/0.88 [243]E(f4(f11(x2431,a1)),f11(f4(x2431),a21)) % 0.80/0.88 [244]E(f5(f11(x2441,a1)),f11(f5(x2441),a21)) % 0.80/0.88 [245]E(f14(f11(x2451,a21)),f11(f14(x2451),a21)) % 0.80/0.88 [246]E(f20(f11(x2461,a21)),f11(f20(x2461),a21)) % 0.80/0.88 [251]E(f12(x2511,f11(x2511,a21),a21),f2(a21)) % 0.80/0.88 [257]P7(f11(f16(x2571,a1),a21),f16(x2571,a1),a21) % 0.80/0.88 [250]E(f16(f6(f15(x2501),f20(x2501)),a1),f7(a21)) % 0.80/0.88 [253]E(f6(f11(f4(x2531),a21),f11(f5(x2531),a21)),f11(x2531,a1)) % 0.80/0.88 [240]E(f4(f6(x2401,x2402)),x2401) % 0.80/0.88 [241]E(f5(f6(x2411,x2412)),x2412) % 0.80/0.88 [254]E(f6(f11(x2541,a21),f11(x2542,a21)),f11(f6(x2541,x2542),a1)) % 0.80/0.88 [255]E(f12(x2551,f11(x2552,a1),a1),f8(x2551,x2552,a1)) % 0.80/0.88 [256]E(f12(x2561,f11(x2562,a21),a21),f8(x2561,x2562,a21)) % 0.80/0.88 [258]E(f16(f8(x2581,x2582,a1),a1),f17(x2581,x2582,a1)) % 0.80/0.88 [259]E(f12(f4(x2591),f4(x2592),a21),f4(f12(x2591,x2592,a1))) % 0.80/0.88 [260]E(f8(f4(x2601),f4(x2602),a21),f4(f8(x2601,x2602,a1))) % 0.80/0.88 [261]E(f12(f5(x2611),f5(x2612),a21),f5(f12(x2611,x2612,a1))) % 0.80/0.88 [262]E(f8(f5(x2621),f5(x2622),a21),f5(f8(x2621,x2622,a1))) % 0.80/0.88 [270]P7(f16(x2701,a1),f12(f16(f12(x2701,x2702,a1),a1),f16(x2702,a1),a21),a21) % 0.80/0.88 [271]P7(f8(f16(f12(x2711,x2712,a1),a1),f16(x2711,a1),a21),f16(x2712,a1),a21) % 0.80/0.88 [267]E(f6(f12(f4(x2671),f4(x2672),a21),f12(f5(x2671),f5(x2672),a21)),f12(x2671,x2672,a1)) % 0.80/0.88 [268]E(f6(f12(x2681,x2682,a21),f12(x2683,x2684,a21)),f12(f6(x2681,x2683),f6(x2682,x2684),a1)) % 0.80/0.88 [269]E(f6(f8(x2691,x2692,a21),f8(x2693,x2694,a21)),f8(f6(x2691,x2693),f6(x2692,x2694),a1)) % 0.80/0.88 [274]~E(f14(x2741),f7(a21))+E(x2741,f7(a21)) % 0.80/0.88 [275]~E(f14(x2751),f2(a21))+E(x2751,f2(a21)) % 0.80/0.88 [277]~E(f15(x2771),f7(a21))+E(f20(x2771),f2(a21)) % 0.80/0.88 [279]~P62(x2791)+~E(f7(x2791),f2(x2791)) % 0.80/0.88 [359]~P38(x3591)+P8(f2(x3591),f7(x3591),x3591) % 0.80/0.88 [360]~P38(x3601)+P7(f2(x3601),f7(x3601),x3601) % 0.80/0.88 [401]~P38(x4011)+~P8(f7(x4011),f2(x4011),x4011) % 0.80/0.88 [402]~P38(x4021)+~P7(f7(x4021),f2(x4021),x4021) % 0.80/0.88 [452]~P7(x4521,f7(a21),a21)+P7(f14(x4521),f7(a21),a21) % 0.80/0.88 [453]~P7(x4531,f2(a21),a21)+P7(f14(x4531),f2(a21),a21) % 0.80/0.88 [455]~P7(f7(a21),x4551,a21)+P7(f7(a21),f14(x4551),a21) % 0.80/0.88 [457]~P7(f2(a21),x4571,a21)+P7(f2(a21),f14(x4571),a21) % 0.80/0.88 [458]~P7(f14(x4581),f7(a21),a21)+P7(x4581,f7(a21),a21) % 0.80/0.88 [459]~P7(f14(x4591),f2(a21),a21)+P7(x4591,f2(a21),a21) % 0.80/0.88 [460]~P7(f7(a21),f14(x4601),a21)+P7(f7(a21),x4601,a21) % 0.80/0.88 [461]~P7(f2(a21),f14(x4611),a21)+P7(f2(a21),x4611,a21) % 0.80/0.88 [282]~P29(x2821)+E(f19(f7(a21),x2821),f7(x2821)) % 0.80/0.88 [283]~P29(x2831)+E(f19(f2(a21),x2831),f2(x2831)) % 0.80/0.88 [285]~P35(x2851)+E(f16(f7(x2851),x2851),f7(a21)) % 0.80/0.88 [286]~P33(x2861)+E(f16(f2(x2861),x2861),f2(a21)) % 0.80/0.88 [290]~P39(x2901)+E(f9(f7(x2901),x2901),f7(x2901)) % 0.80/0.88 [291]~P3(x2911)+E(f9(f2(x2911),x2911),f2(x2911)) % 0.80/0.88 [292]~P4(x2921)+E(f11(f2(x2921),x2921),f2(x2921)) % 0.80/0.88 [293]~P20(x2931)+E(f11(f2(x2931),x2931),f2(x2931)) % 0.80/0.88 [294]~P42(x2941)+E(f10(f7(x2941),x2941),f7(x2941)) % 0.80/0.88 [295]~P41(x2951)+E(f10(f2(x2951),x2951),f2(x2951)) % 0.80/0.88 [362]~P19(x3621)+E(f12(f2(x3621),f2(x3621),x3621),f2(x3621)) % 0.80/0.88 [388]~P33(x3881)+P7(f16(f2(x3881),x3881),f2(a21),a21) % 0.80/0.88 [394]~P3(x3941)+P7(f9(f2(x3941),x3941),f2(x3941),x3941) % 0.80/0.88 [463]~P3(x4631)+~P8(f2(x4631),f9(f2(x4631),x4631),x4631) % 0.80/0.88 [524]~P38(x5241)+P8(f2(x5241),f12(f7(x5241),f7(x5241),x5241),x5241) % 0.80/0.88 [635]~P51(x6351)+E(f12(f13(f2(x6351),f2(x6351),x6351),f13(f2(x6351),f2(x6351),x6351),x6351),f2(x6351)) % 0.80/0.88 [823]~P51(x8231)+P7(f12(f13(f2(x8231),f2(x8231),x8231),f13(f2(x8231),f2(x8231),x8231),x8231),f2(x8231),x8231) % 0.80/0.88 [837]~P51(x8371)+~P8(f2(x8371),f12(f13(f2(x8371),f2(x8371),x8371),f13(f2(x8371),f2(x8371),x8371),x8371),x8371) % 0.80/0.88 [324]~P2(x3242)+P7(x3241,x3241,x3242) % 0.80/0.88 [325]~P28(x3252)+P7(x3251,x3251,x3252) % 0.80/0.88 [376]~P8(x3762,x3762,x3761)+~P2(x3761) % 0.80/0.88 [377]~P8(x3772,x3772,x3771)+~P28(x3771) % 0.80/0.88 [378]~P8(x3782,x3782,x3781)+~P23(x3781) % 0.80/0.88 [395]P7(x3952,x3951,a21)+P7(x3951,x3952,a21) % 0.80/0.88 [276]E(x2761,x2762)+~E(f14(x2761),f14(x2762)) % 0.80/0.88 [280]E(x2801,f7(a21))+~E(f6(x2802,x2801),a3) % 0.80/0.88 [281]E(x2811,f2(a21))+~E(f6(x2811,x2812),a3) % 0.80/0.88 [287]E(x2871,f2(a21))+~E(f6(x2872,x2871),f7(a1)) % 0.80/0.88 [288]E(x2881,f7(a21))+~E(f6(x2881,x2882),f7(a1)) % 0.80/0.88 [326]~P13(x3262)+E(f13(x3261,x3261,x3262),x3261) % 0.80/0.88 [327]~P30(x3272)+E(f17(x3271,x3271,x3272),f2(a21)) % 0.80/0.88 [330]~P4(x3302)+E(f8(x3301,x3301,x3302),f2(x3302)) % 0.80/0.88 [331]~P5(x3312)+E(f8(x3311,x3311,x3312),f2(x3312)) % 0.80/0.88 [366]~P3(x3662)+P7(x3661,f9(x3661,x3662),x3662) % 0.80/0.88 [367]~P33(x3672)+P7(f2(a21),f16(x3671,x3672),a21) % 0.80/0.88 [379]~P3(x3791)+P7(f2(x3791),f9(x3792,x3791),x3791) % 0.80/0.88 [387]E(x3871,f11(x3872,a21))+~E(f12(x3872,x3871,a21),f2(a21)) % 0.80/0.88 [403]~P3(x4032)+P7(f11(x4031,x4032),f9(x4031,x4032),x4032) % 0.80/0.88 [438]~P3(x4381)+~P8(f9(x4382,x4381),f2(x4381),x4381) % 0.80/0.88 [443]~P7(x4431,x4432,a21)+P7(f14(x4431),f14(x4432),a21) % 0.80/0.88 [462]P7(x4621,x4622,a21)+~P7(f14(x4621),f14(x4622),a21) % 0.80/0.88 [472]~P30(x4722)+P7(f17(x4721,x4721,x4722),f2(a21),a21) % 0.80/0.88 [473]~P51(x4731)+P7(f2(x4731),f13(x4732,x4732,x4731),x4731) % 0.80/0.88 [584]~P7(x5841,x5842,a21)+P7(f8(x5841,x5842,a21),f2(a21),a21) % 0.80/0.88 [601]~P51(x6011)+~P8(f13(x6012,x6012,x6011),f2(x6011),x6011) % 0.80/0.88 [606]~P7(f11(x6061,a21),x6062,a21)+P7(f2(a21),f12(x6061,x6062,a21),a21) % 0.80/0.88 [607]~P7(x6072,f11(x6071,a21),a21)+P7(f12(x6071,x6072,a21),f2(a21),a21) % 0.80/0.88 [622]P7(x6221,x6222,a21)+~P7(f8(x6221,x6222,a21),f2(a21),a21) % 0.80/0.88 [633]P7(x6331,f11(x6332,a21),a21)+~P7(f12(x6332,x6331,a21),f2(a21),a21) % 0.80/0.88 [634]P7(f11(x6341,a21),x6342,a21)+~P7(f2(a21),f12(x6341,x6342,a21),a21) % 0.80/0.88 [311]~P4(x3112)+E(f11(f11(x3111,x3112),x3112),x3111) % 0.80/0.88 [312]~P9(x3122)+E(f11(f11(x3121,x3122),x3122),x3121) % 0.80/0.88 [321]~P3(x3212)+E(f9(f9(x3211,x3212),x3212),f9(x3211,x3212)) % 0.80/0.88 [322]~P3(x3222)+E(f9(f11(x3221,x3222),x3222),f9(x3221,x3222)) % 0.80/0.88 [323]~P33(x3232)+E(f16(f11(x3231,x3232),x3232),f16(x3231,x3232)) % 0.80/0.88 [332]~P1(x3322)+E(f13(x3321,f7(x3322),x3322),x3321) % 0.80/0.88 [333]~P22(x3332)+E(f13(x3331,f7(x3332),x3332),x3331) % 0.80/0.88 [334]~P1(x3342)+E(f12(x3341,f2(x3342),x3342),x3341) % 0.80/0.88 [335]~P10(x3352)+E(f12(x3351,f2(x3352),x3352),x3351) % 0.80/0.88 [336]~P21(x3362)+E(f12(x3361,f2(x3362),x3362),x3361) % 0.80/0.88 [337]~P4(x3372)+E(f8(x3371,f2(x3372),x3372),x3371) % 0.80/0.88 [339]~P1(x3391)+E(f13(f7(x3391),x3392,x3391),x3392) % 0.80/0.88 [340]~P16(x3401)+E(f13(f7(x3401),x3402,x3401),x3402) % 0.80/0.88 [341]~P22(x3411)+E(f13(f7(x3411),x3412,x3411),x3412) % 0.80/0.88 [343]~P1(x3431)+E(f12(f2(x3431),x3432,x3431),x3432) % 0.80/0.88 [344]~P10(x3441)+E(f12(f2(x3441),x3442,x3441),x3442) % 0.80/0.88 [345]~P21(x3451)+E(f12(f2(x3451),x3452,x3451),x3452) % 0.80/0.88 [346]~P1(x3462)+E(f13(x3461,f2(x3462),x3462),f2(x3462)) % 0.80/0.88 [347]~P54(x3472)+E(f13(x3471,f2(x3472),x3472),f2(x3472)) % 0.80/0.88 [348]~P47(x3482)+E(f13(x3481,f2(x3482),x3482),f2(x3482)) % 0.80/0.88 [350]~P34(x3502)+E(f13(x3501,f2(x3502),x3502),f2(x3502)) % 0.80/0.88 [352]~P1(x3521)+E(f13(f2(x3521),x3522,x3521),f2(x3521)) % 0.80/0.88 [353]~P54(x3531)+E(f13(f2(x3531),x3532,x3531),f2(x3531)) % 0.80/0.88 [354]~P47(x3541)+E(f13(f2(x3541),x3542,x3541),f2(x3541)) % 0.80/0.88 [356]~P34(x3561)+E(f13(f2(x3561),x3562,x3561),f2(x3561)) % 0.80/0.88 [357]~P22(x3571)+E(f18(f7(x3571),x3572,x3571),f7(x3571)) % 0.80/0.88 [363]~P4(x3631)+E(f8(f2(x3631),x3632,x3631),f11(x3632,x3631)) % 0.80/0.88 [365]~P29(x3652)+E(f19(f11(x3651,a21),x3652),f11(f19(x3651,x3652),x3652)) % 0.80/0.88 [370]~P4(x3702)+E(f12(x3701,f11(x3701,x3702),x3702),f2(x3702)) % 0.80/0.88 [372]~P4(x3722)+E(f12(f11(x3721,x3722),x3721,x3722),f2(x3722)) % 0.80/0.88 [373]~P5(x3732)+E(f12(f11(x3731,x3732),x3731,x3732),f2(x3732)) % 0.80/0.88 [426]E(x4261,x4262)+~E(f12(x4261,f11(x4262,a21),a21),f2(a21)) % 0.80/0.88 [439]~P3(x4392)+P7(f11(f9(x4391,x4392),x4392),f2(x4392),x4392) % 0.80/0.88 [465]~P39(x4652)+E(f13(f9(x4651,x4652),f9(x4651,x4652),x4652),f13(x4651,x4651,x4652)) % 0.80/0.88 [467]~P44(x4672)+E(f13(f11(x4671,x4672),f11(x4671,x4672),x4672),f13(x4671,x4671,x4672)) % 0.80/0.88 [487]~P38(x4872)+P8(x4871,f12(x4871,f7(x4872),x4872),x4872) % 0.80/0.88 [404]~P6(x4041)+E(f13(f11(f7(x4041),x4041),x4042,x4041),f11(x4042,x4041)) % 0.80/0.88 [586]~P1(x5862)+E(f12(x5861,x5861,x5862),f13(f12(f7(x5862),f7(x5862),x5862),x5861,x5862)) % 0.80/0.88 [409]~P1(x4093)+E(f13(x4091,x4092,x4093),f13(x4092,x4091,x4093)) % 0.80/0.88 [411]~P1(x4113)+E(f12(x4111,x4112,x4113),f12(x4112,x4111,x4113)) % 0.80/0.88 [412]~P10(x4123)+E(f12(x4121,x4122,x4123),f12(x4122,x4121,x4123)) % 0.80/0.88 [413]~P30(x4133)+E(f17(x4131,x4132,x4133),f17(x4132,x4131,x4133)) % 0.80/0.88 [471]~P30(x4713)+P7(f2(a21),f17(x4711,x4712,x4713),a21) % 0.80/0.88 [662]~P7(x6622,x6623,a21)+P7(f12(x6621,x6622,a21),f12(x6621,x6623,a21),a21) % 0.80/0.88 [433]~P4(x4333)+E(f12(x4331,f11(x4332,x4333),x4333),f8(x4331,x4332,x4333)) % 0.80/0.88 [435]~P5(x4353)+E(f12(x4351,f11(x4352,x4353),x4353),f8(x4351,x4352,x4353)) % 0.80/0.88 [436]~P6(x4363)+E(f12(x4361,f11(x4362,x4363),x4363),f8(x4361,x4362,x4363)) % 0.80/0.88 [437]~P4(x4373)+E(f8(x4371,f11(x4372,x4373),x4373),f12(x4371,x4372,x4373)) % 0.80/0.88 [464]~P58(x4642)+E(f13(f11(x4641,x4642),x4643,x4642),f13(x4641,f11(x4643,x4642),x4642)) % 0.80/0.88 [466]~P58(x4662)+E(f13(f11(x4661,x4662),f11(x4663,x4662),x4662),f13(x4661,x4663,x4662)) % 0.80/0.88 [468]~P4(x4683)+E(f12(f8(x4681,x4682,x4683),x4682,x4683),x4681) % 0.80/0.88 [469]~P4(x4693)+E(f8(f12(x4691,x4692,x4693),x4692,x4693),x4691) % 0.80/0.88 [491]~P32(x4913)+E(f16(f8(x4911,x4912,x4913),x4913),f17(x4911,x4912,x4913)) % 0.80/0.88 [492]~P5(x4923)+E(f11(f8(x4921,x4922,x4923),x4923),f8(x4922,x4921,x4923)) % 0.80/0.88 [513]~P5(x5132)+E(f12(f11(x5131,x5132),f12(x5133,x5131,x5132),x5132),x5133) % 0.80/0.88 [514]~P4(x5142)+E(f12(f11(x5141,x5142),f12(x5141,x5143,x5142),x5142),x5143) % 0.80/0.88 [532]~P58(x5323)+E(f13(x5321,f11(x5322,x5323),x5323),f11(f13(x5321,x5322,x5323),x5323)) % 0.80/0.88 [533]~P39(x5332)+E(f18(f9(x5331,x5332),x5333,x5332),f9(f18(x5331,x5333,x5332),x5332)) % 0.80/0.88 [534]~P58(x5342)+E(f13(f11(x5341,x5342),x5343,x5342),f11(f13(x5341,x5343,x5342),x5342)) % 0.80/0.88 [536]~P34(x5363)+E(f13(x5361,f11(x5362,x5363),x5363),f11(f13(x5361,x5362,x5363),x5363)) % 0.80/0.88 [538]~P34(x5382)+E(f13(f11(x5381,x5382),x5383,x5382),f11(f13(x5381,x5383,x5382),x5382)) % 0.80/0.88 [563]~P13(x5633)+E(f13(x5631,f13(x5631,x5632,x5633),x5633),f13(x5631,x5632,x5633)) % 0.80/0.88 [564]~P39(x5641)+P7(f2(x5641),f18(f9(x5642,x5641),x5643,x5641),x5641) % 0.80/0.88 [567]~P29(x5672)+E(f12(f19(x5671,x5672),f19(x5673,x5672),x5672),f19(f12(x5671,x5673,a21),x5672)) % 0.80/0.88 [568]~P29(x5682)+E(f8(f19(x5681,x5682),f19(x5683,x5682),x5682),f19(f8(x5681,x5683,a21),x5682)) % 0.80/0.88 [569]~P39(x5692)+E(f13(f9(x5691,x5692),f9(x5693,x5692),x5692),f9(f13(x5691,x5693,x5692),x5692)) % 0.80/0.88 [570]~P4(x5702)+E(f12(f11(x5701,x5702),f11(x5703,x5702),x5702),f11(f12(x5703,x5701,x5702),x5702)) % 0.80/0.88 [571]~P5(x5712)+E(f12(f11(x5711,x5712),f11(x5713,x5712),x5712),f11(f12(x5711,x5713,x5712),x5712)) % 0.80/0.88 [572]~P5(x5722)+E(f8(f11(x5721,x5722),f11(x5723,x5722),x5722),f11(f8(x5721,x5723,x5722),x5722)) % 0.80/0.88 [587]~P3(x5873)+E(f9(f8(x5871,x5872,x5873),x5873),f9(f8(x5872,x5871,x5873),x5873)) % 0.80/0.88 [588]~P33(x5883)+E(f16(f8(x5881,x5882,x5883),x5883),f16(f8(x5882,x5881,x5883),x5883)) % 0.80/0.88 [646]~P22(x6463)+E(f13(f18(x6461,x6462,x6463),x6461,x6463),f13(x6461,f18(x6461,x6462,x6463),x6463)) % 0.80/0.88 [719]~P61(x7191)+E(f13(f18(f11(f7(x7191),x7191),x7192,x7191),f18(x7193,x7192,x7191),x7191),f18(f11(x7193,x7191),x7192,x7191)) % 0.80/0.88 [767]~P33(x7673)+P7(f16(f12(x7671,x7672,x7673),x7673),f12(f16(x7671,x7673),f16(x7672,x7673),a21),a21) % 0.80/0.88 [768]~P33(x7683)+P7(f16(f8(x7681,x7682,x7683),x7683),f12(f16(x7681,x7683),f16(x7682,x7683),a21),a21) % 0.80/0.88 [769]~P33(x7692)+P7(f8(f16(x7691,x7692),f16(x7693,x7692),a21),f16(f12(x7691,x7693,x7692),x7692),a21) % 0.80/0.88 [770]~P33(x7702)+P7(f8(f16(x7701,x7702),f16(x7703,x7702),a21),f16(f8(x7701,x7703,x7702),x7702),a21) % 0.80/0.88 [772]~P43(x7723)+P7(f9(f13(x7721,x7722,x7723),x7723),f13(f9(x7721,x7723),f9(x7722,x7723),x7723),x7723) % 0.80/0.88 [773]~P3(x7733)+P7(f9(f12(x7731,x7732,x7733),x7733),f12(f9(x7731,x7733),f9(x7732,x7733),x7733),x7733) % 0.80/0.88 [774]~P3(x7743)+P7(f9(f8(x7741,x7742,x7743),x7743),f12(f9(x7741,x7743),f9(x7742,x7743),x7743),x7743) % 0.80/0.88 [775]~P3(x7752)+P7(f8(f9(x7751,x7752),f9(x7753,x7752),x7752),f9(f8(x7751,x7753,x7752),x7752),x7752) % 0.80/0.88 [805]~P51(x8051)+P7(f2(x8051),f12(f13(x8052,x8052,x8051),f13(x8053,x8053,x8051),x8051),x8051) % 0.80/0.88 [831]~P51(x8311)+~P8(f12(f13(x8312,x8312,x8311),f13(x8313,x8313,x8311),x8311),f2(x8311),x8311) % 0.80/0.88 [562]~P4(x5622)+E(f12(x5621,f12(f11(x5621,x5622),x5623,x5622),x5622),x5623) % 0.80/0.88 [616]~P39(x6162)+E(f9(f18(f11(x6161,x6162),x6163,x6162),x6162),f9(f18(x6161,x6163,x6162),x6162)) % 0.80/0.88 [659]~P3(x6592)+E(f9(f12(f9(x6591,x6592),f9(x6593,x6592),x6592),x6592),f12(f9(x6591,x6592),f9(x6593,x6592),x6592)) % 0.80/0.88 [660]~P1(x6603)+E(f12(x6601,f13(x6602,x6601,x6603),x6603),f13(f12(x6602,f7(x6603),x6603),x6601,x6603)) % 0.80/0.88 [661]~P1(x6613)+E(f12(f13(x6611,x6612,x6613),x6612,x6613),f13(f12(x6611,f7(x6613),x6613),x6612,x6613)) % 0.80/0.88 [824]~P3(x8242)+P7(f9(f8(f9(x8241,x8242),f9(x8243,x8242),x8242),x8242),f9(f8(x8241,x8243,x8242),x8242),x8242) % 0.80/0.88 [306]E(x3061,x3062)+~E(f6(x3063,x3061),f6(x3064,x3062)) % 0.80/0.88 [307]E(x3071,x3072)+~E(f6(x3071,x3073),f6(x3072,x3074)) % 0.80/0.88 [636]~P1(x6364)+E(f13(x6361,f13(x6362,x6363,x6364),x6364),f13(x6362,f13(x6361,x6363,x6364),x6364)) % 0.80/0.88 [637]~P1(x6374)+E(f12(x6371,f12(x6372,x6373,x6374),x6374),f12(x6372,f12(x6371,x6373,x6374),x6374)) % 0.80/0.88 [638]~P5(x6384)+E(f12(x6381,f12(x6382,x6383,x6384),x6384),f12(x6382,f12(x6381,x6383,x6384),x6384)) % 0.80/0.88 [639]~P10(x6394)+E(f12(x6391,f12(x6392,x6393,x6394),x6394),f12(x6392,f12(x6391,x6393,x6394),x6394)) % 0.80/0.88 [644]~P1(x6443)+E(f13(f13(x6441,x6442,x6443),x6444,x6443),f13(x6441,f13(x6442,x6444,x6443),x6443)) % 0.80/0.88 [645]~P11(x6453)+E(f13(f13(x6451,x6452,x6453),x6454,x6453),f13(x6451,f13(x6452,x6454,x6453),x6453)) % 0.80/0.88 [647]~P1(x6473)+E(f12(f12(x6471,x6472,x6473),x6474,x6473),f12(x6471,f12(x6472,x6474,x6473),x6473)) % 0.80/0.88 [648]~P10(x6483)+E(f12(f12(x6481,x6482,x6483),x6484,x6483),f12(x6481,f12(x6482,x6484,x6483),x6483)) % 0.80/0.88 [649]~P12(x6493)+E(f12(f12(x6491,x6492,x6493),x6494,x6493),f12(x6491,f12(x6492,x6494,x6493),x6493)) % 0.80/0.88 [650]~P1(x6503)+E(f13(f13(x6501,x6502,x6503),x6504,x6503),f13(f13(x6501,x6504,x6503),x6502,x6503)) % 0.80/0.88 [651]~P1(x6513)+E(f12(f12(x6511,x6512,x6513),x6514,x6513),f12(f12(x6511,x6514,x6513),x6512,x6513)) % 0.80/0.88 [720]~P1(x7203)+E(f12(f13(x7201,x7202,x7203),f13(x7201,x7204,x7203),x7203),f13(x7201,f12(x7202,x7204,x7203),x7203)) % 0.80/0.88 [722]~P34(x7223)+E(f12(f13(x7221,x7222,x7223),f13(x7221,x7224,x7223),x7223),f13(x7221,f12(x7222,x7224,x7223),x7223)) % 0.80/0.88 [724]~P34(x7243)+E(f8(f13(x7241,x7242,x7243),f13(x7241,x7244,x7243),x7243),f13(x7241,f8(x7242,x7244,x7243),x7243)) % 0.80/0.88 [727]~P34(x7273)+E(f12(f13(x7271,x7272,x7273),f13(x7274,x7272,x7273),x7273),f13(f12(x7271,x7274,x7273),x7272,x7273)) % 0.80/0.88 [728]~P37(x7283)+E(f12(f13(x7281,x7282,x7283),f13(x7284,x7282,x7283),x7283),f13(f12(x7281,x7284,x7283),x7282,x7283)) % 0.80/0.88 [730]~P34(x7303)+E(f8(f13(x7301,x7302,x7303),f13(x7304,x7302,x7303),x7303),f13(f8(x7301,x7304,x7303),x7302,x7303)) % 0.80/0.88 [731]~P1(x7313)+E(f13(f18(x7311,x7312,x7313),f18(x7314,x7312,x7313),x7313),f18(f13(x7311,x7314,x7313),x7312,x7313)) % 0.80/0.88 [732]~P16(x7323)+E(f13(f18(x7321,x7322,x7323),f18(x7324,x7322,x7323),x7323),f18(f13(x7321,x7324,x7323),x7322,x7323)) % 0.80/0.88 [733]~P1(x7333)+E(f12(f13(x7331,x7332,x7333),f13(x7334,x7332,x7333),x7333),f13(f12(x7331,x7334,x7333),x7332,x7333)) % 0.80/0.88 [820]~P30(x8203)+P7(f17(x8201,x8202,x8203),f12(f17(x8204,x8201,x8203),f17(x8204,x8202,x8203),a21),a21) % 0.80/0.88 [821]~P30(x8213)+P7(f17(x8211,x8212,x8213),f12(f17(x8211,x8214,x8213),f17(x8214,x8212,x8213),a21),a21) % 0.80/0.88 [822]~P30(x8223)+P7(f17(x8221,x8222,x8223),f12(f17(x8221,x8224,x8223),f17(x8222,x8224,x8223),a21),a21) % 0.80/0.88 [779]~P1(x7793)+E(f13(f13(x7791,x7792,x7793),f13(x7794,x7795,x7793),x7793),f13(f13(x7791,x7794,x7793),f13(x7792,x7795,x7793),x7793)) % 0.80/0.88 [780]~P1(x7803)+E(f12(f12(x7801,x7802,x7803),f12(x7804,x7805,x7803),x7803),f12(f12(x7801,x7804,x7803),f12(x7802,x7805,x7803),x7803)) % 0.80/0.88 [781]~P5(x7813)+E(f8(f12(x7811,x7812,x7813),f12(x7814,x7815,x7813),x7813),f12(f8(x7811,x7814,x7813),f8(x7812,x7815,x7813),x7813)) % 0.80/0.88 [828]~P63(x8283)+E(f12(f13(x8281,x8282,x8283),f12(f13(x8284,x8282,x8283),x8285,x8283),x8283),f12(f13(f12(x8281,x8284,x8283),x8282,x8283),x8285,x8283)) % 0.80/0.88 [847]~P33(x8473)+P7(f16(f8(f12(x8471,x8472,x8473),f12(x8474,x8475,x8473),x8473),x8473),f12(f16(f8(x8471,x8474,x8473),x8473),f16(f8(x8472,x8475,x8473),x8473),a21),a21) % 0.80/0.88 [848]~P3(x8483)+P7(f9(f8(f12(x8481,x8482,x8483),f12(x8484,x8485,x8483),x8483),x8483),f12(f9(f8(x8481,x8484,x8483),x8483),f9(f8(x8482,x8485,x8483),x8483),x8483),x8483) % 0.80/0.88 [849]~P34(x8493)+E(f12(f12(f13(f8(x8491,x8492,x8493),f8(x8494,x8495,x8493),x8493),f13(f8(x8491,x8492,x8493),x8495,x8493),x8493),f13(x8492,f8(x8494,x8495,x8493),x8493),x8493),f8(f13(x8491,x8494,x8493),f13(x8492,x8495,x8493),x8493)) % 0.80/0.88 [836]~P58(x8363)+E(f12(f13(x8361,x8362,x8363),f12(f13(f8(x8364,x8361,x8363),x8362,x8363),x8365,x8363),x8363),f12(f13(x8364,x8362,x8363),x8365,x8363)) % 0.80/0.88 [298]~P41(x2981)+~P45(x2981)+E(f10(f7(x2981),x2981),f7(x2981)) % 0.80/0.88 [493]~P24(x4931)+~P7(f2(x4931),f2(x4931),x4931)+E(f12(f2(x4931),f2(x4931),x4931),f2(x4931)) % 0.80/0.88 [470]E(x4701,x4702)+~P7(x4702,x4701,a21)+~P7(x4701,x4702,a21) % 0.80/0.88 [284]E(x2841,x2842)+~E(f4(x2841),f4(x2842))+~E(f5(x2841),f5(x2842)) % 0.80/0.88 [297]~P20(x2972)+~E(f11(x2971,x2972),x2971)+E(x2971,f2(x2972)) % 0.80/0.88 [300]~P33(x3002)+E(x3001,f2(x3002))+~E(f16(x3001,x3002),f2(a21)) % 0.80/0.88 [301]~P29(x3012)+~E(f19(x3011,x3012),f2(x3012))+E(x3011,f2(a21)) % 0.80/0.88 [302]~P3(x3022)+~E(f9(x3021,x3022),f2(x3022))+E(x3021,f2(x3022)) % 0.80/0.88 [303]~P4(x3032)+~E(f11(x3031,x3032),f2(x3032))+E(x3031,f2(x3032)) % 0.80/0.88 [304]~P42(x3042)+~E(f10(x3041,x3042),f2(x3042))+E(x3041,f2(x3042)) % 0.80/0.88 [305]~P4(x3051)+~E(f11(x3052,x3051),f2(x3051))+E(f2(x3051),x3052) % 0.80/0.88 [358]~P44(x3582)+~P6(x3582)+E(f8(x3581,x3581,x3582),f2(x3582)) % 0.80/0.88 [364]~P36(x3642)+P8(x3641,f2(x3642),x3642)+E(f9(x3641,x3642),x3641) % 0.80/0.88 [386]~P3(x3862)+P8(f2(x3862),f9(x3861,x3862),x3862)+E(x3861,f2(x3862)) % 0.80/0.88 [393]~P19(x3932)+~E(f12(x3931,x3931,x3932),f2(x3932))+E(x3931,f2(x3932)) % 0.80/0.88 [419]~P3(x4192)+~P8(f2(x4192),x4191,x4192)+E(f9(x4191,x4192),x4191) % 0.80/0.88 [420]~P3(x4202)+~P7(f2(x4202),x4201,x4202)+E(f9(x4201,x4202),x4201) % 0.80/0.88 [428]~P3(x4282)+~P8(x4281,f2(x4282),x4282)+E(f9(x4281,x4282),f11(x4281,x4282)) % 0.80/0.88 [429]~P3(x4292)+~P7(x4291,f2(x4292),x4292)+E(f9(x4291,x4292),f11(x4291,x4292)) % 0.80/0.88 [430]~P36(x4302)+~P8(x4301,f2(x4302),x4302)+E(f9(x4301,x4302),f11(x4301,x4302)) % 0.80/0.88 [432]~P33(x4322)+E(x4321,f2(x4322))+~P7(f16(x4321,x4322),f2(a21),a21) % 0.80/0.88 [442]~P3(x4422)+~P7(f9(x4421,x4422),f2(x4422),x4422)+E(x4421,f2(x4422)) % 0.80/0.88 [494]~P39(x4942)+~P8(x4941,f2(x4942),x4942)+P8(x4941,f11(x4941,x4942),x4942) % 0.80/0.88 [495]~P19(x4952)+~P7(x4951,f2(x4952),x4952)+P7(x4951,f11(x4951,x4952),x4952) % 0.80/0.88 [496]~P20(x4962)+~P7(x4961,f2(x4962),x4962)+P7(x4961,f11(x4961,x4962),x4962) % 0.80/0.88 [497]~P19(x4972)+~P7(f2(x4972),x4971,x4972)+P7(f11(x4971,x4972),x4971,x4972) % 0.80/0.88 [498]~P20(x4982)+~P7(f2(x4982),x4981,x4982)+P7(f11(x4981,x4982),x4981,x4982) % 0.80/0.88 [502]~P17(x5021)+~P8(x5022,f2(x5021),x5021)+P8(f2(x5021),f11(x5022,x5021),x5021) % 0.80/0.88 [503]~P17(x5031)+~P7(x5032,f2(x5031),x5031)+P7(f2(x5031),f11(x5032,x5031),x5031) % 0.80/0.88 [504]~P40(x5041)+~P8(f2(x5041),x5042,x5041)+P8(f2(x5041),f10(x5042,x5041),x5041) % 0.80/0.88 [505]~P40(x5052)+~P8(x5051,f2(x5052),x5052)+P8(f10(x5051,x5052),f2(x5052),x5052) % 0.80/0.88 [506]~P17(x5062)+~P8(f2(x5062),x5061,x5062)+P8(f11(x5061,x5062),f2(x5062),x5062) % 0.80/0.88 [507]~P17(x5072)+~P7(f2(x5072),x5071,x5072)+P7(f11(x5071,x5072),f2(x5072),x5072) % 0.80/0.88 [508]~P39(x5082)+~P8(x5081,f11(x5081,x5082),x5082)+P8(x5081,f2(x5082),x5082) % 0.80/0.88 [509]~P19(x5092)+~P7(x5091,f11(x5091,x5092),x5092)+P7(x5091,f2(x5092),x5092) % 0.80/0.88 [510]~P20(x5102)+~P7(x5101,f11(x5101,x5102),x5102)+P7(x5101,f2(x5102),x5102) % 0.80/0.88 [511]~P19(x5111)+~P7(f11(x5112,x5111),x5112,x5111)+P7(f2(x5111),x5112,x5111) % 0.80/0.88 [512]~P20(x5121)+~P7(f11(x5122,x5121),x5122,x5121)+P7(f2(x5121),x5122,x5121) % 0.80/0.88 [528]~P17(x5282)+~P8(f2(x5282),f11(x5281,x5282),x5282)+P8(x5281,f2(x5282),x5282) % 0.80/0.88 [529]~P17(x5292)+~P7(f2(x5292),f11(x5291,x5292),x5292)+P7(x5291,f2(x5292),x5292) % 0.80/0.88 [530]~P17(x5301)+~P8(f11(x5302,x5301),f2(x5301),x5301)+P8(f2(x5301),x5302,x5301) % 0.80/0.88 [531]~P17(x5311)+~P7(f11(x5312,x5311),f2(x5311),x5311)+P7(f2(x5311),x5312,x5311) % 0.80/0.88 [593]~P19(x5931)+~P8(f2(x5931),x5932,x5931)+P8(f2(x5931),f12(x5932,x5932,x5931),x5931) % 0.80/0.88 [597]~P19(x5971)+~P7(f2(x5971),x5972,x5971)+P7(f2(x5971),f12(x5972,x5972,x5971),x5971) % 0.80/0.88 [598]~P39(x5982)+~P8(x5981,f2(x5982),x5982)+P8(f12(x5981,x5981,x5982),f2(x5982),x5982) % 0.80/0.88 [599]~P19(x5992)+~P8(x5991,f2(x5992),x5992)+P8(f12(x5991,x5991,x5992),f2(x5992),x5992) % 0.80/0.88 [600]~P19(x6002)+~P7(x6001,f2(x6002),x6002)+P7(f12(x6001,x6001,x6002),f2(x6002),x6002) % 0.80/0.88 [653]~P39(x6532)+~P8(f12(x6531,x6531,x6532),f2(x6532),x6532)+P8(x6531,f2(x6532),x6532) % 0.80/0.88 [654]~P19(x6542)+~P8(f12(x6541,x6541,x6542),f2(x6542),x6542)+P8(x6541,f2(x6542),x6542) % 0.80/0.88 [655]~P19(x6552)+~P7(f12(x6551,x6551,x6552),f2(x6552),x6552)+P7(x6551,f2(x6552),x6552) % 0.80/0.88 [656]~P19(x6561)+~P8(f2(x6561),f12(x6562,x6562,x6561),x6561)+P8(f2(x6561),x6562,x6561) % 0.80/0.88 [657]~P19(x6571)+~P7(f2(x6571),f12(x6572,x6572,x6571),x6571)+P7(f2(x6571),x6572,x6571) % 0.80/0.88 [315]~P42(x3152)+E(x3151,f2(x3152))+E(f10(f10(x3151,x3152),x3152),x3151) % 0.80/0.88 [319]~P41(x3192)+~P42(x3192)+E(f10(f10(x3191,x3192),x3192),x3191) % 0.80/0.88 [361]~P44(x3612)+~P6(x3612)+E(f12(x3611,f2(x3612),x3612),x3611) % 0.80/0.88 [374]~P40(x3742)+E(x3741,f2(x3742))+E(f10(f9(x3741,x3742),x3742),f9(f10(x3741,x3742),x3742)) % 0.80/0.88 [375]~P42(x3752)+E(x3751,f2(x3752))+E(f10(f11(x3751,x3752),x3752),f11(f10(x3751,x3752),x3752)) % 0.80/0.88 [380]~P40(x3802)+~P41(x3802)+E(f10(f9(x3801,x3802),x3802),f9(f10(x3801,x3802),x3802)) % 0.80/0.88 [381]~P41(x3812)+~P42(x3812)+E(f10(f11(x3811,x3812),x3812),f11(f10(x3811,x3812),x3812)) % 0.80/0.88 [382]~P42(x3822)+E(x3821,f2(x3822))+E(f13(x3821,f10(x3821,x3822),x3822),f7(x3822)) % 0.80/0.88 [383]~P42(x3832)+E(x3831,f2(x3832))+E(f13(f10(x3831,x3832),x3831,x3832),f7(x3832)) % 0.80/0.88 [384]~P45(x3842)+E(x3841,f2(x3842))+E(f13(f10(x3841,x3842),x3841,x3842),f7(x3842)) % 0.80/0.88 [416]P7(x4162,x4161,x4163)+~P23(x4163)+P8(x4161,x4162,x4163) % 0.80/0.88 [418]P7(x4182,x4181,x4183)+~P23(x4183)+P7(x4181,x4182,x4183) % 0.80/0.88 [440]~P2(x4403)+~P8(x4401,x4402,x4403)+P7(x4401,x4402,x4403) % 0.80/0.88 [441]~P28(x4413)+~P8(x4411,x4412,x4413)+P7(x4411,x4412,x4413) % 0.80/0.88 [474]~P8(x4743,x4742,x4741)+~P2(x4741)+~P8(x4742,x4743,x4741) % 0.80/0.88 [476]~P8(x4763,x4762,x4761)+~P28(x4761)+~P8(x4762,x4763,x4761) % 0.80/0.88 [477]~P7(x4773,x4772,x4771)+~P28(x4771)+~P8(x4772,x4773,x4771) % 0.80/0.88 [478]~P8(x4783,x4782,x4781)+~P23(x4781)+~P8(x4782,x4783,x4781) % 0.80/0.88 [480]~P7(x4803,x4802,x4801)+~P23(x4801)+~P8(x4802,x4803,x4801) % 0.80/0.88 [561]~P7(x5611,x5613,a21)+P7(x5611,x5612,a21)+~P7(x5613,x5612,a21) % 0.80/0.88 [316]~P4(x3163)+E(x3161,x3162)+~E(f11(x3161,x3163),f11(x3162,x3163)) % 0.80/0.88 [317]~P9(x3173)+E(x3171,x3172)+~E(f11(x3171,x3173),f11(x3172,x3173)) % 0.80/0.88 [318]~P29(x3183)+E(x3181,x3182)+~E(f19(x3181,x3183),f19(x3182,x3183)) % 0.80/0.88 [385]~P30(x3853)+E(x3851,x3852)+~E(f17(x3851,x3852,x3853),f2(a21)) % 0.80/0.88 [389]~P4(x3893)+E(x3891,x3892)+~E(f8(x3891,x3892,x3893),f2(x3893)) % 0.80/0.88 [390]~P5(x3903)+E(x3901,x3902)+~E(f8(x3901,x3902,x3903),f2(x3903)) % 0.80/0.88 [392]~P60(x3922)+~E(f18(x3921,x3923,x3922),f2(x3922))+E(x3921,f2(x3922)) % 0.80/0.88 [405]~P4(x4053)+~E(f12(x4051,x4052,x4053),f2(x4053))+E(x4051,f11(x4052,x4053)) % 0.80/0.88 [406]~P4(x4062)+~E(f12(x4061,x4063,x4062),f2(x4062))+E(f11(x4061,x4062),x4063) % 0.80/0.88 [407]~P42(x4072)+~E(f13(x4071,x4073,x4072),f7(x4072))+E(f10(x4071,x4072),x4073) % 0.80/0.88 [500]~P39(x5003)+P8(x5001,x5002,x5003)+~P8(f9(x5001,x5003),x5002,x5003) % 0.80/0.88 [501]~P3(x5013)+P7(x5011,x5012,x5013)+~P7(f9(x5011,x5013),x5012,x5013) % 0.80/0.88 [525]~P17(x5252)+~P8(x5253,x5251,x5252)+P8(f11(x5251,x5252),f11(x5253,x5252),x5252) % 0.80/0.88 [526]~P17(x5262)+~P7(x5263,x5261,x5262)+P7(f11(x5261,x5262),f11(x5263,x5262),x5262) % 0.80/0.88 [551]~P17(x5513)+~P8(x5512,f11(x5511,x5513),x5513)+P8(x5511,f11(x5512,x5513),x5513) % 0.80/0.88 [553]~P17(x5533)+~P7(x5532,f11(x5531,x5533),x5533)+P7(x5531,f11(x5532,x5533),x5533) % 0.80/0.88 [554]~P39(x5542)+~P8(f9(x5541,x5542),x5543,x5542)+P8(f11(x5541,x5542),x5543,x5542) % 0.80/0.88 [556]~P17(x5562)+~P8(f11(x5563,x5562),x5561,x5562)+P8(f11(x5561,x5562),x5563,x5562) % 0.80/0.88 [557]~P3(x5572)+~P7(f9(x5571,x5572),x5573,x5572)+P7(f11(x5571,x5572),x5573,x5572) % 0.80/0.88 [559]~P17(x5592)+~P7(f11(x5593,x5592),x5591,x5592)+P7(f11(x5591,x5592),x5593,x5592) % 0.80/0.88 [565]~P17(x5653)+P8(x5651,x5652,x5653)+~P8(f11(x5652,x5653),f11(x5651,x5653),x5653) % 0.80/0.88 [566]~P17(x5663)+P7(x5661,x5662,x5663)+~P7(f11(x5662,x5663),f11(x5661,x5663),x5663) % 0.80/0.88 [589]~P17(x5893)+~P8(x5891,x5892,x5893)+P8(f8(x5891,x5892,x5893),f2(x5893),x5893) % 0.80/0.88 [590]~P17(x5903)+~P7(x5901,x5902,x5903)+P7(f8(x5901,x5902,x5903),f2(x5903),x5903) % 0.80/0.88 [591]E(x5911,x5912)+~P30(x5913)+~P7(f17(x5911,x5912,x5913),f2(a21),a21) % 0.80/0.88 [592]~P38(x5921)+~P8(f2(x5921),x5922,x5921)+P8(f2(x5921),f18(x5922,x5923,x5921),x5921) % 0.80/0.88 [594]~P38(x5941)+~P7(f7(x5941),x5942,x5941)+P7(f7(x5941),f18(x5942,x5943,x5941),x5941) % 0.80/0.88 [595]~P38(x5951)+~P7(f2(x5951),x5952,x5951)+P7(f2(x5951),f18(x5952,x5953,x5951),x5951) % 0.80/0.88 [596]~P39(x5961)+~P7(f2(x5961),x5962,x5961)+P7(f2(x5961),f18(x5962,x5963,x5961),x5961) % 0.80/0.88 [620]~P19(x6203)+~P7(x6201,f11(x6202,x6203),x6203)+P7(f12(x6201,x6202,x6203),f2(x6203),x6203) % 0.80/0.88 [627]~P17(x6273)+P8(x6271,x6272,x6273)+~P8(f8(x6271,x6272,x6273),f2(x6273),x6273) % 0.80/0.88 [628]~P17(x6283)+P7(x6281,x6282,x6283)+~P7(f8(x6281,x6282,x6283),f2(x6283),x6283) % 0.80/0.88 [652]~P39(x6522)+~P8(f18(x6521,x6523,x6522),f2(x6522),x6522)+P8(x6521,f2(x6522),x6522) % 0.80/0.88 [664]~P19(x6643)+~P7(f12(x6641,x6642,x6643),f2(x6643),x6643)+P7(x6641,f11(x6642,x6643),x6643) % 0.80/0.88 [549]~P42(x5492)+E(x5491,f2(x5492))+E(f18(f10(x5491,x5492),x5493,x5492),f10(f18(x5491,x5493,x5492),x5492)) % 0.80/0.88 [560]~P41(x5602)+~P42(x5602)+E(f18(f10(x5601,x5602),x5603,x5602),f10(f18(x5601,x5603,x5602),x5602)) % 0.80/0.88 [583]~P41(x5832)+~P45(x5832)+E(f13(f10(x5831,x5832),f10(x5833,x5832),x5832),f10(f13(x5831,x5833,x5832),x5832)) % 0.80/0.88 [621]~P39(x6212)+~P7(f2(x6212),x6213,x6212)+E(f13(f9(x6211,x6212),x6213,x6212),f9(f13(x6211,x6213,x6212),x6212)) % 0.80/0.88 [734]~P51(x7342)+E(x7341,f2(x7342))+~E(f12(f13(x7343,x7343,x7342),f13(x7341,x7341,x7342),x7342),f2(x7342)) % 0.80/0.88 [735]~P51(x7352)+E(x7351,f2(x7352))+~E(f12(f13(x7351,x7351,x7352),f13(x7353,x7353,x7352),x7352),f2(x7352)) % 0.80/0.88 [766]~P38(x7661)+~P8(f7(x7661),x7662,x7661)+P8(f7(x7661),f13(x7662,f18(x7662,x7663,x7661),x7661),x7661) % 0.80/0.88 [804]~P38(x8043)+~P8(f7(x8043),x8041,x8043)+P8(f18(x8041,x8042,x8043),f13(x8041,f18(x8041,x8042,x8043),x8043),x8043) % 0.80/0.88 [806]~P51(x8062)+E(x8061,f2(x8062))+P8(f2(x8062),f12(f13(x8063,x8063,x8062),f13(x8061,x8061,x8062),x8062),x8062) % 0.80/0.88 [807]~P51(x8072)+E(x8071,f2(x8072))+P8(f2(x8072),f12(f13(x8071,x8071,x8072),f13(x8073,x8073,x8072),x8072),x8072) % 0.80/0.88 [832]~P51(x8322)+E(x8321,f2(x8322))+~P7(f12(f13(x8323,x8323,x8322),f13(x8321,x8321,x8322),x8322),f2(x8322),x8322) % 0.80/0.88 [833]~P51(x8332)+E(x8331,f2(x8332))+~P7(f12(f13(x8331,x8331,x8332),f13(x8333,x8333,x8332),x8332),f2(x8332),x8332) % 0.80/0.88 [482]~P14(x4824)+E(x4821,x4822)+~E(f12(x4823,x4821,x4824),f12(x4823,x4822,x4824)) % 0.80/0.88 [483]~P15(x4834)+E(x4831,x4832)+~E(f12(x4833,x4831,x4834),f12(x4833,x4832,x4834)) % 0.80/0.88 [484]~P5(x4844)+E(x4841,x4842)+~E(f8(x4843,x4843,x4844),f8(x4841,x4842,x4844)) % 0.80/0.88 [485]~P14(x4854)+E(x4851,x4852)+~E(f12(x4851,x4853,x4854),f12(x4852,x4853,x4854)) % 0.80/0.88 [486]~P5(x4863)+E(x4861,x4862)+~E(f8(x4861,x4862,x4863),f8(x4864,x4864,x4863)) % 0.80/0.88 [669]~P25(x6693)+~P8(x6691,x6694,x6693)+P8(f12(x6691,x6692,x6693),f12(x6694,x6692,x6693),x6693) % 0.80/0.88 [670]~P27(x6703)+~P8(x6701,x6704,x6703)+P8(f12(x6701,x6702,x6703),f12(x6704,x6702,x6703),x6703) % 0.80/0.88 [671]~P25(x6713)+~P8(x6712,x6714,x6713)+P8(f12(x6711,x6712,x6713),f12(x6711,x6714,x6713),x6713) % 0.80/0.88 [672]~P27(x6723)+~P8(x6722,x6724,x6723)+P8(f12(x6721,x6722,x6723),f12(x6721,x6724,x6723),x6723) % 0.80/0.88 [673]~P25(x6733)+~P7(x6731,x6734,x6733)+P7(f12(x6731,x6732,x6733),f12(x6734,x6732,x6733),x6733) % 0.80/0.88 [674]~P26(x6743)+~P7(x6741,x6744,x6743)+P7(f12(x6741,x6742,x6743),f12(x6744,x6742,x6743),x6743) % 0.80/0.88 [675]~P25(x6753)+~P7(x6752,x6754,x6753)+P7(f12(x6751,x6752,x6753),f12(x6751,x6754,x6753),x6753) % 0.80/0.88 [676]~P26(x6763)+~P7(x6762,x6764,x6763)+P7(f12(x6761,x6762,x6763),f12(x6761,x6764,x6763),x6763) % 0.80/0.88 [762]~P25(x7623)+P8(x7621,x7622,x7623)+~P8(f12(x7624,x7621,x7623),f12(x7624,x7622,x7623),x7623) % 0.80/0.88 [763]~P25(x7633)+P8(x7631,x7632,x7633)+~P8(f12(x7631,x7634,x7633),f12(x7632,x7634,x7633),x7633) % 0.80/0.88 [764]~P25(x7643)+P7(x7641,x7642,x7643)+~P7(f12(x7644,x7641,x7643),f12(x7644,x7642,x7643),x7643) % 0.80/0.88 [765]~P25(x7653)+P7(x7651,x7652,x7653)+~P7(f12(x7651,x7654,x7653),f12(x7652,x7654,x7653),x7653) % 0.80/0.88 [605]~P5(x6053)+E(x6051,f11(x6052,x6053))+~E(f12(x6051,f12(x6054,x6052,x6053),x6053),x6054) % 0.80/0.88 [761]~P18(x7614)+~P7(f12(x7611,x7613,x7614),x7612,x7614)+P7(x7611,f12(x7612,f9(x7613,x7614),x7614),x7614) % 0.80/0.88 [787]~P44(x7873)+~P6(x7873)+E(f12(f13(x7871,x7872,x7873),f13(x7871,x7874,x7873),x7873),f12(f13(x7871,x7874,x7873),f13(x7871,x7872,x7873),x7873)) % 0.80/0.88 [808]~P39(x8084)+P8(x8081,f12(x8082,x8083,x8084),x8084)+~P8(f9(f8(x8081,x8082,x8084),x8084),x8083,x8084) % 0.80/0.88 [809]~P39(x8093)+P8(f8(x8091,x8092,x8093),x8094,x8093)+~P8(f9(f8(x8094,x8091,x8093),x8093),x8092,x8093) % 0.80/0.88 [712]~P5(x7123)+E(f12(x7121,x7122,x7123),x7124)+~E(f12(x7121,f12(x7125,x7122,x7123),x7123),f12(x7125,x7124,x7123)) % 0.80/0.88 [829]~P58(x8294)+~E(f12(f13(x8293,x8295,x8294),x8291,x8294),f12(f13(x8292,x8295,x8294),x8296,x8294))+E(x8291,f12(f13(f8(x8292,x8293,x8294),x8295,x8294),x8296,x8294)) % 0.80/0.88 [830]~P58(x8303)+~E(f12(f13(x8301,x8304,x8303),x8305,x8303),f12(f13(x8302,x8304,x8303),x8306,x8303))+E(f12(f13(f8(x8301,x8302,x8303),x8304,x8303),x8305,x8303),x8306) % 0.80/0.88 [839]~P56(x8394)+~P8(f12(f13(x8393,x8395,x8394),x8391,x8394),f12(f13(x8392,x8395,x8394),x8396,x8394),x8394)+P8(x8391,f12(f13(f8(x8392,x8393,x8394),x8395,x8394),x8396,x8394),x8394) % 0.80/0.88 [840]~P56(x8404)+~P7(f12(f13(x8403,x8405,x8404),x8401,x8404),f12(f13(x8402,x8405,x8404),x8406,x8404),x8404)+P7(x8401,f12(f13(f8(x8402,x8403,x8404),x8405,x8404),x8406,x8404),x8404) % 0.80/0.88 [841]~P56(x8413)+~P8(f12(f13(x8411,x8414,x8413),x8415,x8413),f12(f13(x8412,x8414,x8413),x8416,x8413),x8413)+P8(f12(f13(f8(x8411,x8412,x8413),x8414,x8413),x8415,x8413),x8416,x8413) % 0.80/0.88 [842]~P56(x8423)+~P7(f12(f13(x8421,x8424,x8423),x8425,x8423),f12(f13(x8422,x8424,x8423),x8426,x8423),x8423)+P7(f12(f13(f8(x8421,x8422,x8423),x8424,x8423),x8425,x8423),x8426,x8423) % 0.80/0.88 [843]~P56(x8433)+P8(f12(f13(x8431,x8432,x8433),x8434,x8433),f12(f13(x8435,x8432,x8433),x8436,x8433),x8433)+~P8(x8434,f12(f13(f8(x8435,x8431,x8433),x8432,x8433),x8436,x8433),x8433) % 0.80/0.88 [844]~P56(x8443)+P7(f12(f13(x8441,x8442,x8443),x8444,x8443),f12(f13(x8445,x8442,x8443),x8446,x8443),x8443)+~P7(x8444,f12(f13(f8(x8445,x8441,x8443),x8442,x8443),x8446,x8443),x8443) % 0.80/0.88 [845]~P56(x8453)+P8(f12(f13(x8451,x8452,x8453),x8454,x8453),f12(f13(x8455,x8452,x8453),x8456,x8453),x8453)+~P8(f12(f13(f8(x8451,x8455,x8453),x8452,x8453),x8454,x8453),x8456,x8453) % 0.80/0.88 [846]~P56(x8463)+P7(f12(f13(x8461,x8462,x8463),x8464,x8463),f12(f13(x8465,x8462,x8463),x8466,x8463),x8463)+~P7(f12(f13(f8(x8461,x8465,x8463),x8462,x8463),x8464,x8463),x8466,x8463) % 0.80/0.88 [838]~P7(f7(a21),f16(f12(a23,a3,a1),a1),a21)+~P7(f7(a21),f16(f8(a23,a3,a1),a1),a21)+~P7(f7(a21),f16(f12(a23,f7(a1),a1),a1),a21)+~P7(f7(a21),f16(f8(a23,f7(a1),a1),a1),a21) % 0.80/0.88 [313]~P41(x3132)+~P45(x3132)+~E(f10(x3131,x3132),f7(x3132))+E(x3131,f7(x3132)) % 0.80/0.88 [368]~P23(x3682)+~P18(x3682)+P8(x3681,f2(x3682),x3682)+E(f9(x3681,x3682),x3681) % 0.80/0.88 [431]~P23(x4312)+~P18(x4312)+~P8(x4311,f2(x4312),x4312)+E(f9(x4311,x4312),f11(x4311,x4312)) % 0.80/0.88 [517]~P40(x5171)+~P41(x5171)+~P7(f2(x5171),x5172,x5171)+P7(f2(x5171),f10(x5172,x5171),x5171) % 0.80/0.88 [518]~P40(x5182)+~P41(x5182)+~P7(x5181,f2(x5182),x5182)+P8(f10(x5181,x5182),f7(x5182),x5182) % 0.80/0.88 [520]~P40(x5202)+~P41(x5202)+~P7(x5201,f2(x5202),x5202)+P7(f10(x5201,x5202),f7(x5202),x5202) % 0.80/0.88 [521]~P40(x5212)+~P41(x5212)+~P7(x5211,f2(x5212),x5212)+P7(f10(x5211,x5212),f2(x5212),x5212) % 0.80/0.88 [522]~P40(x5222)+~P41(x5222)+~P8(f7(x5222),x5221,x5222)+P8(f10(x5221,x5222),f7(x5222),x5222) % 0.80/0.88 [523]~P40(x5232)+~P41(x5232)+~P7(f7(x5232),x5231,x5232)+P7(f10(x5231,x5232),f7(x5232),x5232) % 0.80/0.88 [539]~P40(x5392)+~P8(f10(x5391,x5392),f2(x5392),x5392)+P8(x5391,f2(x5392),x5392)+E(x5391,f2(x5392)) % 0.80/0.88 [540]~P40(x5402)+~P8(f2(x5402),f10(x5401,x5402),x5402)+P8(f2(x5402),x5401,x5402)+E(x5401,f2(x5402)) % 0.80/0.88 [541]~P40(x5412)+~P41(x5412)+~P8(f7(x5412),f10(x5411,x5412),x5412)+P8(x5411,f7(x5412),x5412) % 0.80/0.88 [542]~P40(x5422)+~P41(x5422)+~P7(f7(x5422),f10(x5421,x5422),x5422)+P7(x5421,f7(x5422),x5422) % 0.80/0.88 [543]~P40(x5432)+~P41(x5432)+~P8(f10(x5431,x5432),f2(x5432),x5432)+P8(x5431,f2(x5432),x5432) % 0.80/0.88 [544]~P40(x5442)+~P41(x5442)+~P7(f10(x5441,x5442),f2(x5442),x5442)+P7(x5441,f2(x5442),x5442) % 0.80/0.88 [545]~P40(x5451)+~P41(x5451)+~P8(f7(x5451),f10(x5452,x5451),x5451)+P8(f2(x5451),x5452,x5451) % 0.80/0.88 [546]~P40(x5461)+~P41(x5461)+~P8(f2(x5461),f10(x5462,x5461),x5461)+P8(f2(x5461),x5462,x5461) % 0.80/0.88 [547]~P40(x5471)+~P41(x5471)+~P7(f7(x5471),f10(x5472,x5471),x5471)+P8(f2(x5471),x5472,x5471) % 0.80/0.88 [548]~P40(x5481)+~P41(x5481)+~P7(f2(x5481),f10(x5482,x5481),x5481)+P7(f2(x5481),x5482,x5481) % 0.80/0.88 [421]P8(x4211,x4212,x4213)+~P39(x4213)+E(x4211,x4212)+P8(x4212,x4211,x4213) % 0.80/0.88 [425]P8(x4251,x4252,x4253)+~P23(x4253)+E(x4251,x4252)+P8(x4252,x4251,x4253) % 0.80/0.88 [449]~P2(x4493)+~P7(x4491,x4492,x4493)+E(x4491,x4492)+P8(x4491,x4492,x4493) % 0.80/0.88 [451]~P23(x4513)+~P7(x4511,x4512,x4513)+E(x4511,x4512)+P8(x4511,x4512,x4513) % 0.80/0.88 [490]~P7(x4902,x4901,x4903)+~P7(x4901,x4902,x4903)+E(x4901,x4902)+~P2(x4903) % 0.80/0.88 [527]P7(x5272,x5271,x5273)+~P28(x5273)+~P7(x5271,x5272,x5273)+P8(x5271,x5272,x5273) % 0.80/0.88 [320]~P41(x3203)+~P42(x3203)+E(x3201,x3202)+~E(f10(x3201,x3203),f10(x3202,x3203)) % 0.80/0.88 [396]~P44(x3962)+~P6(x3962)+~E(f12(x3963,x3961,x3962),x3963)+E(x3961,f2(x3962)) % 0.80/0.88 [397]~P44(x3973)+~P6(x3973)+E(x3971,x3972)+~E(f8(x3971,x3972,x3973),f2(x3973)) % 0.80/0.88 [399]~P46(x3992)+~E(f13(x3993,x3991,x3992),f2(x3992))+E(x3991,f2(x3992))+E(x3993,f2(x3992)) % 0.80/0.88 [400]~P54(x4002)+~E(f13(x4003,x4001,x4002),f2(x4002))+E(x4001,f2(x4002))+E(x4003,f2(x4002)) % 0.80/0.88 [515]~P44(x5153)+E(x5151,x5152)+~E(f13(x5151,x5151,x5153),f13(x5152,x5152,x5153))+E(x5151,f11(x5152,x5153)) % 0.80/0.88 [610]~P40(x6102)+~P8(x6103,x6101,x6102)+~P8(x6101,f2(x6102),x6102)+P8(f10(x6101,x6102),f10(x6103,x6102),x6102) % 0.80/0.88 [611]~P40(x6112)+~P7(x6113,x6111,x6112)+~P8(x6111,f2(x6112),x6112)+P7(f10(x6111,x6112),f10(x6113,x6112),x6112) % 0.80/0.88 [612]~P40(x6122)+~P8(x6123,x6121,x6122)+~P8(f2(x6122),x6123,x6122)+P8(f10(x6121,x6122),f10(x6123,x6122),x6122) % 0.80/0.88 [613]~P40(x6132)+~P7(x6133,x6131,x6132)+~P8(f2(x6132),x6133,x6132)+P7(f10(x6131,x6132),f10(x6133,x6132),x6132) % 0.80/0.88 [617]~P39(x6172)+~P8(x6171,x6173,x6172)+~P8(f11(x6171,x6172),x6173,x6172)+P8(f9(x6171,x6172),x6173,x6172) % 0.80/0.88 [619]~P3(x6192)+~P7(x6191,x6193,x6192)+~P7(f11(x6191,x6192),x6193,x6192)+P7(f9(x6191,x6192),x6193,x6192) % 0.80/0.88 [629]~P40(x6293)+P8(x6291,x6292,x6293)+~P8(x6291,f2(x6293),x6293)+~P8(f10(x6292,x6293),f10(x6291,x6293),x6293) % 0.80/0.88 [630]~P40(x6303)+P7(x6301,x6302,x6303)+~P8(x6301,f2(x6303),x6303)+~P7(f10(x6302,x6303),f10(x6301,x6303),x6303) % 0.80/0.88 [631]~P40(x6313)+P8(x6311,x6312,x6313)+~P8(f2(x6313),x6312,x6313)+~P8(f10(x6312,x6313),f10(x6311,x6313),x6313) % 0.80/0.88 [632]~P40(x6323)+P7(x6321,x6322,x6323)+~P8(f2(x6323),x6322,x6323)+~P7(f10(x6322,x6323),f10(x6321,x6323),x6323) % 0.80/0.88 [658]~P39(x6582)+~P7(f18(x6581,x6583,x6582),f2(x6582),x6582)+P7(x6581,f2(x6582),x6582)+E(x6581,f2(x6582)) % 0.80/0.88 [677]~P51(x6771)+~P8(x6773,f2(x6771),x6771)+~P8(x6772,f2(x6771),x6771)+P8(f2(x6771),f13(x6772,x6773,x6771),x6771) % 0.80/0.88 [678]~P51(x6781)+~P7(x6783,f2(x6781),x6781)+~P7(x6782,f2(x6781),x6781)+P7(f2(x6781),f13(x6782,x6783,x6781),x6781) % 0.80/0.88 [680]~P56(x6801)+~P7(x6803,f2(x6801),x6801)+~P7(x6802,f2(x6801),x6801)+P7(f2(x6801),f13(x6802,x6803,x6801),x6801) % 0.80/0.88 [681]~P38(x6811)+~P8(f7(x6811),x6813,x6811)+~P8(f7(x6811),x6812,x6811)+P8(f7(x6811),f13(x6812,x6813,x6811),x6811) % 0.80/0.88 [682]~P52(x6821)+~P8(f2(x6821),x6823,x6821)+~P8(f2(x6821),x6822,x6821)+P8(f2(x6821),f13(x6822,x6823,x6821),x6821) % 0.80/0.88 [683]~P24(x6831)+~P8(f2(x6831),x6833,x6831)+~P8(f2(x6831),x6832,x6831)+P8(f2(x6831),f12(x6832,x6833,x6831),x6831) % 0.80/0.88 [684]~P24(x6841)+~P8(f2(x6841),x6843,x6841)+~P7(f2(x6841),x6842,x6841)+P8(f2(x6841),f12(x6842,x6843,x6841),x6841) % 0.80/0.88 [685]~P24(x6851)+~P8(f2(x6851),x6852,x6851)+~P7(f2(x6851),x6853,x6851)+P8(f2(x6851),f12(x6852,x6853,x6851),x6851) % 0.80/0.88 [686]~P51(x6861)+~P7(f2(x6861),x6863,x6861)+~P7(f2(x6861),x6862,x6861)+P7(f2(x6861),f13(x6862,x6863,x6861),x6861) % 0.80/0.88 [687]~P56(x6871)+~P7(f2(x6871),x6873,x6871)+~P7(f2(x6871),x6872,x6871)+P7(f2(x6871),f13(x6872,x6873,x6871),x6871) % 0.80/0.88 [688]~P57(x6881)+~P7(f2(x6881),x6883,x6881)+~P7(f2(x6881),x6882,x6881)+P7(f2(x6881),f13(x6882,x6883,x6881),x6881) % 0.80/0.88 [689]~P24(x6891)+~P7(f2(x6891),x6893,x6891)+~P7(f2(x6891),x6892,x6891)+P7(f2(x6891),f12(x6892,x6893,x6891),x6891) % 0.80/0.88 [690]~P24(x6903)+~P8(x6902,f2(x6903),x6903)+~P8(x6901,f2(x6903),x6903)+P8(f12(x6901,x6902,x6903),f2(x6903),x6903) % 0.80/0.88 [691]~P24(x6913)+~P8(x6912,f2(x6913),x6913)+~P7(x6911,f2(x6913),x6913)+P8(f12(x6911,x6912,x6913),f2(x6913),x6913) % 0.80/0.88 [692]~P24(x6923)+~P8(x6921,f2(x6923),x6923)+~P7(x6922,f2(x6923),x6923)+P8(f12(x6921,x6922,x6923),f2(x6923),x6923) % 0.80/0.88 [693]~P24(x6933)+~P7(x6932,f2(x6933),x6933)+~P7(x6931,f2(x6933),x6933)+P7(f12(x6931,x6932,x6933),f2(x6933),x6933) % 0.80/0.88 [694]~P52(x6943)+~P8(x6942,f2(x6943),x6943)+~P8(f2(x6943),x6941,x6943)+P8(f13(x6941,x6942,x6943),f2(x6943),x6943) % 0.80/0.88 [696]~P52(x6963)+~P8(x6961,f2(x6963),x6963)+~P8(f2(x6963),x6962,x6963)+P8(f13(x6961,x6962,x6963),f2(x6963),x6963) % 0.80/0.88 [697]~P51(x6973)+~P7(x6972,f2(x6973),x6973)+~P7(f2(x6973),x6971,x6973)+P7(f13(x6971,x6972,x6973),f2(x6973),x6973) % 0.80/0.88 [698]~P51(x6983)+~P7(x6981,f2(x6983),x6983)+~P7(f2(x6983),x6982,x6983)+P7(f13(x6981,x6982,x6983),f2(x6983),x6983) % 0.80/0.88 [700]~P57(x7003)+~P7(x7002,f2(x7003),x7003)+~P7(f2(x7003),x7001,x7003)+P7(f13(x7001,x7002,x7003),f2(x7003),x7003) % 0.80/0.88 [703]~P57(x7033)+~P7(x7031,f2(x7033),x7033)+~P7(f2(x7033),x7032,x7033)+P7(f13(x7031,x7032,x7033),f2(x7033),x7033) % 0.80/0.88 [704]~P51(x7042)+~P7(f13(x7043,x7041,x7042),f2(x7042),x7042)+P7(x7041,f2(x7042),x7042)+P7(x7043,f2(x7042),x7042) % 0.80/0.88 [705]~P51(x7052)+~P7(f2(x7052),f13(x7053,x7051,x7052),x7052)+P7(x7051,f2(x7052),x7052)+P7(f2(x7052),x7053,x7052) % 0.80/0.88 [706]~P51(x7062)+~P7(f2(x7062),f13(x7061,x7063,x7062),x7062)+P7(x7061,f2(x7062),x7062)+P7(f2(x7062),x7063,x7062) % 0.80/0.88 [707]~P51(x7072)+~P7(f2(x7072),f13(x7073,x7071,x7072),x7072)+P7(x7071,f2(x7072),x7072)+P7(f2(x7072),x7071,x7072) % 0.80/0.88 [708]~P51(x7082)+~P7(f2(x7082),f13(x7081,x7083,x7082),x7082)+P7(x7081,f2(x7082),x7082)+P7(f2(x7082),x7081,x7082) % 0.80/0.88 [709]~P51(x7092)+~P7(f13(x7093,x7091,x7092),f2(x7092),x7092)+P7(x7091,f2(x7092),x7092)+P7(f2(x7092),x7091,x7092) % 0.80/0.88 [710]~P51(x7102)+~P7(f13(x7101,x7103,x7102),f2(x7102),x7102)+P7(x7101,f2(x7102),x7102)+P7(f2(x7102),x7101,x7102) % 0.80/0.88 [711]~P51(x7111)+~P7(f13(x7112,x7113,x7111),f2(x7111),x7111)+P7(f2(x7111),x7112,x7111)+P7(f2(x7111),x7113,x7111) % 0.80/0.88 [717]~P52(x7171)+~P8(f2(x7171),f13(x7173,x7172,x7171),x7171)+P8(f2(x7171),x7172,x7171)+~P8(f2(x7171),x7173,x7171) % 0.80/0.88 [718]~P52(x7181)+~P8(f2(x7181),f13(x7182,x7183,x7181),x7181)+P8(f2(x7181),x7182,x7181)+~P8(f2(x7181),x7183,x7181) % 0.80/0.88 [585]~P42(x5852)+E(x5851,f2(x5852))+E(x5853,f2(x5852))+E(f13(f10(x5851,x5852),f10(x5853,x5852),x5852),f10(f13(x5853,x5851,x5852),x5852)) % 0.80/0.88 [713]~P55(x7132)+~P7(x7133,f2(x7132),x7132)+~P7(x7131,f2(x7132),x7132)+E(f13(f9(x7131,x7132),f9(x7133,x7132),x7132),f9(f13(x7131,x7133,x7132),x7132)) % 0.80/0.88 [714]~P55(x7142)+~P7(x7143,f2(x7142),x7142)+~P7(f2(x7142),x7141,x7142)+E(f13(f9(x7141,x7142),f9(x7143,x7142),x7142),f9(f13(x7141,x7143,x7142),x7142)) % 0.80/0.88 [715]~P55(x7152)+~P7(x7151,f2(x7152),x7152)+~P7(f2(x7152),x7153,x7152)+E(f13(f9(x7151,x7152),f9(x7153,x7152),x7152),f9(f13(x7151,x7153,x7152),x7152)) % 0.80/0.88 [716]~P55(x7162)+~P7(f2(x7162),x7163,x7162)+~P7(f2(x7162),x7161,x7162)+E(f13(f9(x7161,x7162),f9(x7163,x7162),x7162),f9(f13(x7161,x7163,x7162),x7162)) % 0.80/0.88 [790]~P42(x7902)+E(x7901,f2(x7902))+E(x7903,f2(x7902))+E(f13(f13(f10(x7903,x7902),f12(x7903,x7901,x7902),x7902),f10(x7901,x7902),x7902),f12(f10(x7903,x7902),f10(x7901,x7902),x7902)) % 0.80/0.88 [791]~P42(x7912)+E(x7911,f2(x7912))+E(x7913,f2(x7912))+E(f13(f13(f10(x7913,x7912),f8(x7911,x7913,x7912),x7912),f10(x7911,x7912),x7912),f8(f10(x7913,x7912),f10(x7911,x7912),x7912)) % 0.80/0.88 [792]~P45(x7922)+E(x7921,f2(x7922))+E(x7923,f2(x7922))+E(f13(f13(f12(x7923,x7921,x7922),f10(x7923,x7922),x7922),f10(x7921,x7922),x7922),f12(f10(x7923,x7922),f10(x7921,x7922),x7922)) % 0.80/0.88 [819]~P38(x8193)+~P8(x8191,f7(x8193),x8193)+~P8(f2(x8193),x8191,x8193)+P8(f13(x8191,f18(x8191,x8192,x8193),x8193),f18(x8191,x8192,x8193),x8193) % 0.80/0.88 [834]~P42(x8342)+E(x8341,f2(x8342))+E(x8343,f2(x8342))+E(f11(f13(f13(f10(x8343,x8342),f8(x8343,x8341,x8342),x8342),f10(x8341,x8342),x8342),x8342),f8(f10(x8343,x8342),f10(x8341,x8342),x8342)) % 0.80/0.88 [573]~P2(x5733)+~P8(x5731,x5734,x5733)+P8(x5731,x5732,x5733)+~P8(x5734,x5732,x5733) % 0.80/0.88 [574]~P2(x5743)+~P7(x5741,x5744,x5743)+P8(x5741,x5742,x5743)+~P8(x5744,x5742,x5743) % 0.80/0.88 [575]~P2(x5753)+~P7(x5754,x5752,x5753)+P8(x5751,x5752,x5753)+~P8(x5751,x5754,x5753) % 0.80/0.88 [576]~P28(x5763)+~P8(x5761,x5764,x5763)+P8(x5761,x5762,x5763)+~P8(x5764,x5762,x5763) % 0.80/0.88 [577]~P28(x5773)+~P7(x5771,x5774,x5773)+P8(x5771,x5772,x5773)+~P8(x5774,x5772,x5773) % 0.80/0.88 [578]~P28(x5783)+~P7(x5784,x5782,x5783)+P8(x5781,x5782,x5783)+~P8(x5781,x5784,x5783) % 0.80/0.88 [579]~P2(x5793)+~P7(x5791,x5794,x5793)+P7(x5791,x5792,x5793)+~P7(x5794,x5792,x5793) % 0.80/0.88 [580]~P28(x5803)+~P7(x5801,x5804,x5803)+P7(x5801,x5802,x5803)+~P7(x5804,x5802,x5803) % 0.80/0.88 [499]~P44(x4994)+~P6(x4994)+E(x4991,x4992)+~E(f12(x4993,x4991,x4994),f12(x4993,x4992,x4994)) % 0.80/0.88 [604]~P38(x6044)+E(x6041,x6042)+~P8(f7(x6044),x6043,x6044)+~E(f18(x6043,x6041,x6044),f18(x6043,x6042,x6044)) % 0.80/0.88 [663]~P38(x6634)+~P8(x6631,x6633,x6634)+~P8(f2(x6634),x6632,x6634)+P8(x6631,f12(x6632,x6633,x6634),x6634) % 0.80/0.88 [743]~P51(x7433)+~P8(x7434,x7431,x7433)+~P8(x7432,f2(x7433),x7433)+P8(f13(x7431,x7432,x7433),f13(x7434,x7432,x7433),x7433) % 0.80/0.88 [746]~P51(x7463)+~P8(x7464,x7462,x7463)+~P8(x7461,f2(x7463),x7463)+P8(f13(x7461,x7462,x7463),f13(x7461,x7464,x7463),x7463) % 0.80/0.88 [747]~P56(x7473)+~P7(x7474,x7471,x7473)+~P7(x7472,f2(x7473),x7473)+P7(f13(x7471,x7472,x7473),f13(x7474,x7472,x7473),x7473) % 0.80/0.88 [748]~P51(x7483)+~P7(x7484,x7482,x7483)+~P8(x7481,f2(x7483),x7483)+P7(f13(x7481,x7482,x7483),f13(x7481,x7484,x7483),x7483) % 0.80/0.88 [749]~P56(x7493)+~P7(x7494,x7492,x7493)+~P7(x7491,f2(x7493),x7493)+P7(f13(x7491,x7492,x7493),f13(x7491,x7494,x7493),x7493) % 0.80/0.88 [750]~P52(x7503)+~P8(x7501,x7504,x7503)+~P8(f2(x7503),x7502,x7503)+P8(f13(x7501,x7502,x7503),f13(x7504,x7502,x7503),x7503) % 0.80/0.88 [751]~P51(x7513)+~P8(x7511,x7514,x7513)+~P8(f2(x7513),x7512,x7513)+P8(f13(x7511,x7512,x7513),f13(x7514,x7512,x7513),x7513) % 0.80/0.88 [752]~P52(x7523)+~P8(x7522,x7524,x7523)+~P8(f2(x7523),x7521,x7523)+P8(f13(x7521,x7522,x7523),f13(x7521,x7524,x7523),x7523) % 0.80/0.88 [754]~P51(x7543)+~P8(x7542,x7544,x7543)+~P8(f2(x7543),x7541,x7543)+P8(f13(x7541,x7542,x7543),f13(x7541,x7544,x7543),x7543) % 0.80/0.88 [755]~P50(x7553)+~P8(x7552,x7554,x7553)+~P8(f2(x7553),x7551,x7553)+P8(f13(x7551,x7552,x7553),f13(x7551,x7554,x7553),x7553) % 0.80/0.88 [756]~P49(x7563)+~P7(x7561,x7564,x7563)+~P7(f2(x7563),x7562,x7563)+P7(f13(x7561,x7562,x7563),f13(x7564,x7562,x7563),x7563) % 0.80/0.88 [757]~P51(x7573)+~P7(x7572,x7574,x7573)+~P8(f2(x7573),x7571,x7573)+P7(f13(x7571,x7572,x7573),f13(x7571,x7574,x7573),x7573) % 0.80/0.88 [758]~P48(x7583)+~P7(x7582,x7584,x7583)+~P7(f2(x7583),x7581,x7583)+P7(f13(x7581,x7582,x7583),f13(x7581,x7584,x7583),x7583) % 0.80/0.88 [759]~P49(x7593)+~P7(x7592,x7594,x7593)+~P7(f2(x7593),x7591,x7593)+P7(f13(x7591,x7592,x7593),f13(x7591,x7594,x7593),x7593) % 0.80/0.88 [760]~P38(x7603)+~P7(x7601,x7604,x7603)+~P7(f2(x7603),x7601,x7603)+P7(f18(x7601,x7602,x7603),f18(x7604,x7602,x7603),x7603) % 0.80/0.88 [777]P8(x7772,x7771,x7773)+~P51(x7773)+P8(x7771,x7772,x7773)+~P8(f13(x7774,x7771,x7773),f13(x7774,x7772,x7773),x7773) % 0.80/0.88 [778]P8(x7782,x7781,x7783)+~P51(x7783)+P8(x7781,x7782,x7783)+~P8(f13(x7781,x7784,x7783),f13(x7782,x7784,x7783),x7783) % 0.80/0.88 [782]~P51(x7823)+P8(x7821,x7822,x7823)+~P8(f13(x7821,x7824,x7823),f13(x7822,x7824,x7823),x7823)+P8(x7824,f2(x7823),x7823) % 0.80/0.88 [783]~P51(x7833)+P8(x7831,x7832,x7833)+~P8(f13(x7834,x7831,x7833),f13(x7834,x7832,x7833),x7833)+P8(x7834,f2(x7833),x7833) % 0.80/0.88 [784]~P51(x7843)+P8(x7841,x7842,x7843)+~P8(f13(x7844,x7842,x7843),f13(x7844,x7841,x7843),x7843)+P8(f2(x7843),x7844,x7843) % 0.80/0.88 [785]~P51(x7853)+P8(x7851,x7852,x7853)+~P8(f13(x7852,x7854,x7853),f13(x7851,x7854,x7853),x7853)+P8(f2(x7853),x7854,x7853) % 0.80/0.88 [788]~P51(x7882)+~P8(f13(x7883,x7881,x7882),f13(x7884,x7881,x7882),x7882)+P8(x7881,f2(x7882),x7882)+P8(f2(x7882),x7881,x7882) % 0.80/0.88 [789]~P51(x7892)+~P8(f13(x7891,x7893,x7892),f13(x7891,x7894,x7892),x7892)+P8(x7891,f2(x7892),x7892)+P8(f2(x7892),x7891,x7892) % 0.80/0.88 [793]~P51(x7933)+P8(x7931,x7932,x7933)+~P8(f13(x7934,x7932,x7933),f13(x7934,x7931,x7933),x7933)+~P8(x7934,f2(x7933),x7933) % 0.80/0.88 [794]~P51(x7943)+P7(x7941,x7942,x7943)+~P7(f13(x7944,x7942,x7943),f13(x7944,x7941,x7943),x7943)+~P8(x7944,f2(x7943),x7943) % 0.80/0.88 [795]~P38(x7953)+P8(x7951,x7952,x7953)+~P7(f2(x7953),x7952,x7953)+~P8(f18(x7951,x7954,x7953),f18(x7952,x7954,x7953),x7953) % 0.80/0.88 [796]~P52(x7963)+P8(x7961,x7962,x7963)+~P8(f13(x7964,x7961,x7963),f13(x7964,x7962,x7963),x7963)+~P7(f2(x7963),x7964,x7963) % 0.80/0.88 [797]~P52(x7973)+P8(x7971,x7972,x7973)+~P8(f13(x7971,x7974,x7973),f13(x7972,x7974,x7973),x7973)+~P7(f2(x7973),x7974,x7973) % 0.80/0.88 [798]~P51(x7983)+P8(x7981,x7982,x7983)+~P8(f13(x7984,x7981,x7983),f13(x7984,x7982,x7983),x7983)+~P8(f2(x7983),x7984,x7983) % 0.80/0.88 [799]~P53(x7993)+P8(x7991,x7992,x7993)+~P8(f13(x7994,x7991,x7993),f13(x7994,x7992,x7993),x7993)+~P7(f2(x7993),x7994,x7993) % 0.80/0.88 [800]~P53(x8003)+P8(x8001,x8002,x8003)+~P8(f13(x8001,x8004,x8003),f13(x8002,x8004,x8003),x8003)+~P7(f2(x8003),x8004,x8003) % 0.80/0.88 [801]~P52(x8013)+P7(x8011,x8012,x8013)+~P7(f13(x8014,x8011,x8013),f13(x8014,x8012,x8013),x8013)+~P8(f2(x8013),x8014,x8013) % 0.80/0.88 [802]~P52(x8023)+P7(x8021,x8022,x8023)+~P7(f13(x8021,x8024,x8023),f13(x8022,x8024,x8023),x8023)+~P8(f2(x8023),x8024,x8023) % 0.80/0.88 [803]~P51(x8033)+P7(x8031,x8032,x8033)+~P7(f13(x8034,x8031,x8033),f13(x8034,x8032,x8033),x8033)+~P8(f2(x8033),x8034,x8033) % 0.80/0.88 [825]~P39(x8253)+~P8(x8251,f12(x8252,x8254,x8253),x8253)+~P8(f8(x8252,x8254,x8253),x8251,x8253)+P8(f9(f8(x8251,x8252,x8253),x8253),x8254,x8253) % 0.80/0.88 [623]~P17(x6233)+~P8(x6234,x6235,x6233)+P8(x6231,x6232,x6233)+~E(f8(x6234,x6235,x6233),f8(x6231,x6232,x6233)) % 0.80/0.88 [624]~P17(x6243)+~P8(x6244,x6245,x6243)+P8(x6241,x6242,x6243)+~E(f8(x6241,x6242,x6243),f8(x6244,x6245,x6243)) % 0.80/0.88 [625]~P17(x6253)+~P7(x6255,x6254,x6253)+P7(x6251,x6252,x6253)+~E(f8(x6254,x6255,x6253),f8(x6252,x6251,x6253)) % 0.80/0.88 [626]~P17(x6263)+~P7(x6265,x6264,x6263)+P7(x6261,x6262,x6263)+~E(f8(x6262,x6261,x6263),f8(x6264,x6265,x6263)) % 0.80/0.88 [736]~P27(x7363)+~P8(x7362,x7365,x7363)+~P8(x7361,x7364,x7363)+P8(f12(x7361,x7362,x7363),f12(x7364,x7365,x7363),x7363) % 0.80/0.88 [737]~P27(x7373)+~P8(x7372,x7375,x7373)+~P7(x7371,x7374,x7373)+P8(f12(x7371,x7372,x7373),f12(x7374,x7375,x7373),x7373) % 0.80/0.88 [738]~P27(x7383)+~P8(x7381,x7384,x7383)+~P7(x7382,x7385,x7383)+P8(f12(x7381,x7382,x7383),f12(x7384,x7385,x7383),x7383) % 0.80/0.88 [739]~P26(x7393)+~P7(x7392,x7395,x7393)+~P7(x7391,x7394,x7393)+P7(f12(x7391,x7392,x7393),f12(x7394,x7395,x7393),x7393) % 0.80/0.88 [771]~P17(x7714)+~P7(x7715,x7713,x7714)+~P7(x7711,f12(x7712,x7715,x7714),x7714)+P7(x7711,f12(x7712,x7713,x7714),x7714) % 0.80/0.88 [810]~P39(x8102)+~P8(f9(x8101,x8102),x8104,x8102)+~P8(f9(x8103,x8102),x8105,x8102)+P8(f13(f9(x8101,x8102),f9(x8103,x8102),x8102),f13(x8104,x8105,x8102),x8102) % 0.80/0.88 [602]~P40(x6022)+~P41(x6022)+P8(f7(x6022),x6021,x6022)+~P8(f10(x6021,x6022),f7(x6022),x6022)+P7(x6021,f2(x6022),x6022) % 0.80/0.88 [603]~P40(x6032)+~P41(x6032)+P7(f7(x6032),x6031,x6032)+~P7(f10(x6031,x6032),f7(x6032),x6032)+P7(x6031,f2(x6032),x6032) % 0.80/0.88 [608]~P40(x6081)+~P41(x6081)+~P8(f2(x6081),x6082,x6081)+~P8(x6082,f7(x6081),x6081)+P8(f7(x6081),f10(x6082,x6081),x6081) % 0.80/0.88 [609]~P40(x6091)+~P41(x6091)+~P8(f2(x6091),x6092,x6091)+~P7(x6092,f7(x6091),x6091)+P7(f7(x6091),f10(x6092,x6091),x6091) % 0.80/0.88 [328]~P42(x3283)+E(x3281,x3282)+~E(f10(x3281,x3283),f10(x3282,x3283))+E(x3282,f2(x3283))+E(x3281,f2(x3283)) % 0.80/0.88 [614]~P24(x6142)+~P7(f2(x6142),x6141,x6142)+~P7(f2(x6142),x6143,x6142)+~E(f12(x6143,x6141,x6142),f2(x6142))+E(x6141,f2(x6142)) % 0.80/0.88 [615]~P24(x6152)+~P7(f2(x6152),x6153,x6152)+~P7(f2(x6152),x6151,x6152)+~E(f12(x6151,x6153,x6152),f2(x6152))+E(x6151,f2(x6152)) % 0.80/0.88 [740]~P39(x7403)+~P7(x7401,f7(x7403),x7403)+~P7(f2(x7403),x7402,x7403)+~P7(f2(x7403),x7401,x7403)+P7(f13(x7401,x7402,x7403),x7402,x7403) % 0.80/0.88 [741]~P39(x7413)+~P7(x7412,f7(x7413),x7413)+~P7(f2(x7413),x7412,x7413)+~P7(f2(x7413),x7411,x7413)+P7(f13(x7411,x7412,x7413),x7411,x7413) % 0.80/0.88 [665]~P25(x6654)+~P10(x6654)+~P8(x6651,x6653,x6654)+~P7(f2(x6654),x6652,x6654)+P8(x6651,f12(x6652,x6653,x6654),x6654) % 0.80/0.88 [666]~P25(x6664)+~P10(x6664)+~P7(x6661,x6663,x6664)+~P8(f2(x6664),x6662,x6664)+P8(x6661,f12(x6662,x6663,x6664),x6664) % 0.80/0.88 [667]~P25(x6674)+~P10(x6674)+~P7(x6671,x6673,x6674)+~P7(f2(x6674),x6672,x6674)+P7(x6671,f12(x6672,x6673,x6674),x6674) % 0.80/0.88 [668]~P25(x6684)+~P10(x6684)+~P7(x6681,x6682,x6684)+~P7(f2(x6684),x6683,x6684)+P7(x6681,f12(x6682,x6683,x6684),x6684) % 0.80/0.88 [776]~P44(x7764)+~P6(x7764)+E(x7761,x7762)+E(x7763,f2(x7764))+~E(f12(x7765,f13(x7763,x7761,x7764),x7764),f12(x7765,f13(x7763,x7762,x7764),x7764)) % 0.80/0.88 [827]~P44(x8275)+~P6(x8275)+E(x8271,x8272)+E(x8273,x8274)+~E(f12(f13(x8273,x8271,x8275),f13(x8274,x8272,x8275),x8275),f12(f13(x8273,x8272,x8275),f13(x8274,x8271,x8275),x8275)) % 0.80/0.88 [427]~P46(x4272)+~P62(x4272)+~P47(x4272)+~P31(x4272)+~E(f18(x4271,x4273,x4272),f2(x4272))+E(x4271,f2(x4272)) % 0.80/0.88 [811]~P52(x8113)+~P8(x8112,x8115,x8113)+~P8(x8111,x8114,x8113)+~P8(f2(x8113),x8114,x8113)+~P7(f2(x8113),x8112,x8113)+P8(f13(x8111,x8112,x8113),f13(x8114,x8115,x8113),x8113) % 0.80/0.88 [812]~P52(x8123)+~P8(x8122,x8125,x8123)+~P8(x8121,x8124,x8123)+~P7(f2(x8123),x8122,x8123)+~P7(f2(x8123),x8121,x8123)+P8(f13(x8121,x8122,x8123),f13(x8124,x8125,x8123),x8123) % 0.80/0.88 [813]~P52(x8133)+~P8(x8132,x8135,x8133)+~P7(x8131,x8134,x8133)+~P8(f2(x8133),x8131,x8133)+~P7(f2(x8133),x8132,x8133)+P8(f13(x8131,x8132,x8133),f13(x8134,x8135,x8133),x8133) % 0.80/0.88 [814]~P52(x8143)+~P8(x8141,x8144,x8143)+~P7(x8142,x8145,x8143)+~P8(f2(x8143),x8142,x8143)+~P7(f2(x8143),x8141,x8143)+P8(f13(x8141,x8142,x8143),f13(x8144,x8145,x8143),x8143) % 0.80/0.88 [815]~P59(x8153)+~P7(x8152,x8155,x8153)+~P7(x8151,x8154,x8153)+~P7(f2(x8153),x8154,x8153)+~P7(f2(x8153),x8152,x8153)+P7(f13(x8151,x8152,x8153),f13(x8154,x8155,x8153),x8153) % 0.80/0.88 [816]~P59(x8163)+~P7(x8162,x8165,x8163)+~P7(x8161,x8164,x8163)+~P7(f2(x8163),x8162,x8163)+~P7(f2(x8163),x8161,x8163)+P7(f13(x8161,x8162,x8163),f13(x8164,x8165,x8163),x8163) % 0.80/0.88 %EqnAxiom % 0.80/0.88 [1]E(x11,x11) % 0.80/0.88 [2]E(x22,x21)+~E(x21,x22) % 0.80/0.88 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.80/0.88 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.80/0.88 [5]~E(x51,x52)+E(f4(x51),f4(x52)) % 0.80/0.88 [6]~E(x61,x62)+E(f7(x61),f7(x62)) % 0.80/0.88 [7]~E(x71,x72)+E(f5(x71),f5(x72)) % 0.80/0.88 [8]~E(x81,x82)+E(f13(x81,x83,x84),f13(x82,x83,x84)) % 0.80/0.88 [9]~E(x91,x92)+E(f13(x93,x91,x94),f13(x93,x92,x94)) % 0.80/0.88 [10]~E(x101,x102)+E(f13(x103,x104,x101),f13(x103,x104,x102)) % 0.80/0.88 [11]~E(x111,x112)+E(f18(x111,x113,x114),f18(x112,x113,x114)) % 0.80/0.88 [12]~E(x121,x122)+E(f18(x123,x121,x124),f18(x123,x122,x124)) % 0.80/0.88 [13]~E(x131,x132)+E(f18(x133,x134,x131),f18(x133,x134,x132)) % 0.80/0.88 [14]~E(x141,x142)+E(f9(x141,x143),f9(x142,x143)) % 0.80/0.88 [15]~E(x151,x152)+E(f9(x153,x151),f9(x153,x152)) % 0.80/0.88 [16]~E(x161,x162)+E(f8(x161,x163,x164),f8(x162,x163,x164)) % 0.80/0.88 [17]~E(x171,x172)+E(f8(x173,x171,x174),f8(x173,x172,x174)) % 0.80/0.88 [18]~E(x181,x182)+E(f8(x183,x184,x181),f8(x183,x184,x182)) % 0.80/0.88 [19]~E(x191,x192)+E(f12(x191,x193,x194),f12(x192,x193,x194)) % 0.80/0.88 [20]~E(x201,x202)+E(f12(x203,x201,x204),f12(x203,x202,x204)) % 0.80/0.88 [21]~E(x211,x212)+E(f12(x213,x214,x211),f12(x213,x214,x212)) % 0.80/0.88 [22]~E(x221,x222)+E(f11(x221,x223),f11(x222,x223)) % 0.80/0.88 [23]~E(x231,x232)+E(f11(x233,x231),f11(x233,x232)) % 0.80/0.88 [24]~E(x241,x242)+E(f10(x241,x243),f10(x242,x243)) % 0.80/0.88 [25]~E(x251,x252)+E(f10(x253,x251),f10(x253,x252)) % 0.80/0.88 [26]~E(x261,x262)+E(f14(x261),f14(x262)) % 0.80/0.88 [27]~E(x271,x272)+E(f19(x271,x273),f19(x272,x273)) % 0.80/0.88 [28]~E(x281,x282)+E(f19(x283,x281),f19(x283,x282)) % 0.80/0.88 [29]~E(x291,x292)+E(f16(x291,x293),f16(x292,x293)) % 0.80/0.88 [30]~E(x301,x302)+E(f16(x303,x301),f16(x303,x302)) % 0.80/0.88 [31]~E(x311,x312)+E(f6(x311,x313),f6(x312,x313)) % 0.80/0.88 [32]~E(x321,x322)+E(f6(x323,x321),f6(x323,x322)) % 0.80/0.88 [33]~E(x331,x332)+E(f20(x331),f20(x332)) % 0.80/0.88 [34]~E(x341,x342)+E(f17(x341,x343,x344),f17(x342,x343,x344)) % 0.80/0.88 [35]~E(x351,x352)+E(f17(x353,x351,x354),f17(x353,x352,x354)) % 0.80/0.88 [36]~E(x361,x362)+E(f17(x363,x364,x361),f17(x363,x364,x362)) % 0.80/0.88 [37]~E(x371,x372)+E(f15(x371),f15(x372)) % 0.80/0.88 [38]~P1(x381)+P1(x382)+~E(x381,x382) % 0.80/0.88 [39]~P34(x391)+P34(x392)+~E(x391,x392) % 0.80/0.88 [40]~P3(x401)+P3(x402)+~E(x401,x402) % 0.80/0.88 [41]~P2(x411)+P2(x412)+~E(x411,x412) % 0.80/0.88 [42]P7(x422,x423,x424)+~E(x421,x422)+~P7(x421,x423,x424) % 0.80/0.88 [43]P7(x433,x432,x434)+~E(x431,x432)+~P7(x433,x431,x434) % 0.80/0.88 [44]P7(x443,x444,x442)+~E(x441,x442)+~P7(x443,x444,x441) % 0.80/0.88 [45]~P28(x451)+P28(x452)+~E(x451,x452) % 0.80/0.88 [46]~P56(x461)+P56(x462)+~E(x461,x462) % 0.80/0.88 [47]P8(x472,x473,x474)+~E(x471,x472)+~P8(x471,x473,x474) % 0.80/0.88 [48]P8(x483,x482,x484)+~E(x481,x482)+~P8(x483,x481,x484) % 0.80/0.88 [49]P8(x493,x494,x492)+~E(x491,x492)+~P8(x493,x494,x491) % 0.80/0.88 [50]~P4(x501)+P4(x502)+~E(x501,x502) % 0.80/0.88 [51]~P58(x511)+P58(x512)+~E(x511,x512) % 0.80/0.88 [52]~P38(x521)+P38(x522)+~E(x521,x522) % 0.80/0.88 [53]~P41(x531)+P41(x532)+~E(x531,x532) % 0.80/0.88 [54]~P39(x541)+P39(x542)+~E(x541,x542) % 0.80/0.88 [55]~P52(x551)+P52(x552)+~E(x551,x552) % 0.80/0.88 [56]~P26(x561)+P26(x562)+~E(x561,x562) % 0.80/0.88 [57]~P51(x571)+P51(x572)+~E(x571,x572) % 0.80/0.88 [58]~P40(x581)+P40(x582)+~E(x581,x582) % 0.80/0.88 [59]~P17(x591)+P17(x592)+~E(x591,x592) % 0.80/0.88 [60]~P27(x601)+P27(x602)+~E(x601,x602) % 0.80/0.88 [61]~P5(x611)+P5(x612)+~E(x611,x612) % 0.80/0.88 [62]~P33(x621)+P33(x622)+~E(x621,x622) % 0.80/0.88 [63]~P42(x631)+P42(x632)+~E(x631,x632) % 0.80/0.88 [64]~P23(x641)+P23(x642)+~E(x641,x642) % 0.80/0.88 [65]~P25(x651)+P25(x652)+~E(x651,x652) % 0.80/0.88 [66]~P43(x661)+P43(x662)+~E(x661,x662) % 0.80/0.88 [67]~P29(x671)+P29(x672)+~E(x671,x672) % 0.80/0.88 [68]~P16(x681)+P16(x682)+~E(x681,x682) % 0.80/0.88 [69]~P57(x691)+P57(x692)+~E(x691,x692) % 0.80/0.88 [70]~P24(x701)+P24(x702)+~E(x701,x702) % 0.80/0.88 [71]~P53(x711)+P53(x712)+~E(x711,x712) % 0.80/0.88 [72]~P44(x721)+P44(x722)+~E(x721,x722) % 0.80/0.88 [73]~P50(x731)+P50(x732)+~E(x731,x732) % 0.80/0.88 [74]~P19(x741)+P19(x742)+~E(x741,x742) % 0.80/0.88 [75]~P6(x751)+P6(x752)+~E(x751,x752) % 0.80/0.88 [76]~P49(x761)+P49(x762)+~E(x761,x762) % 0.80/0.88 [77]~P18(x771)+P18(x772)+~E(x771,x772) % 0.80/0.88 [78]~P36(x781)+P36(x782)+~E(x781,x782) % 0.80/0.88 [79]~P46(x791)+P46(x792)+~E(x791,x792) % 0.80/0.88 [80]~P59(x801)+P59(x802)+~E(x801,x802) % 0.80/0.88 [81]~P45(x811)+P45(x812)+~E(x811,x812) % 0.80/0.88 [82]~P54(x821)+P54(x822)+~E(x821,x822) % 0.80/0.88 [83]~P55(x831)+P55(x832)+~E(x831,x832) % 0.80/0.88 [84]~P20(x841)+P20(x842)+~E(x841,x842) % 0.80/0.88 [85]~P30(x851)+P30(x852)+~E(x851,x852) % 0.80/0.88 [86]~P9(x861)+P9(x862)+~E(x861,x862) % 0.80/0.88 [87]~P22(x871)+P22(x872)+~E(x871,x872) % 0.80/0.88 [88]~P35(x881)+P35(x882)+~E(x881,x882) % 0.80/0.88 [89]~P48(x891)+P48(x892)+~E(x891,x892) % 0.80/0.88 [90]~P62(x901)+P62(x902)+~E(x901,x902) % 0.80/0.88 [91]~P15(x911)+P15(x912)+~E(x911,x912) % 0.80/0.88 [92]~P12(x921)+P12(x922)+~E(x921,x922) % 0.80/0.88 [93]~P47(x931)+P47(x932)+~E(x931,x932) % 0.80/0.88 [94]~P61(x941)+P61(x942)+~E(x941,x942) % 0.80/0.88 [95]~P21(x951)+P21(x952)+~E(x951,x952) % 0.80/0.88 [96]~P31(x961)+P31(x962)+~E(x961,x962) % 0.80/0.88 [97]~P37(x971)+P37(x972)+~E(x971,x972) % 0.80/0.88 [98]~P10(x981)+P10(x982)+~E(x981,x982) % 0.80/0.88 [99]~P60(x991)+P60(x992)+~E(x991,x992) % 0.80/0.88 [100]~P63(x1001)+P63(x1002)+~E(x1001,x1002) % 0.80/0.88 [101]~P11(x1011)+P11(x1012)+~E(x1011,x1012) % 0.80/0.88 [102]~P32(x1021)+P32(x1022)+~E(x1021,x1022) % 0.80/0.88 [103]~P14(x1031)+P14(x1032)+~E(x1031,x1032) % 0.80/0.88 [104]~P13(x1041)+P13(x1042)+~E(x1041,x1042) % 0.80/0.88 % 0.80/0.88 %------------------------------------------- % 0.80/0.88 cnf(875,plain, % 0.80/0.88 ($false), % 0.80/0.88 inference(scs_inference,[],[263,264,265,266,838]), % 0.80/0.88 ['proof']). % 0.80/0.88 % SZS output end Proof % 0.80/0.88 % Total time :0.040000s %------------------------------------------------------------------------------