%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : ALG396-1 : TPTP v8.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n026.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 03:41:35 EDT 2024 % Result : Unsatisfiable 0.80s 1.05s % Output : CNFRefutation 0.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : ALG396-1 : TPTP v8.2.0. Released v4.1.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.11/0.33 % Computer : n026.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.34 % WCLimit : 300 % 0.11/0.34 % DateTime : Wed Jun 19 14:41:24 EDT 2024 % 0.11/0.34 % CPUTime : % 0.43/0.63 start to proof:theBenchmark % 0.60/0.98 %------------------------------------------- % 0.60/0.98 % File :CSE---1.7 % 0.60/0.98 % Problem :theBenchmark % 0.60/0.98 % Transform :cnf % 0.60/0.98 % Format :tptp:raw % 0.60/0.98 % Command :java -jar mcs_scs.jar %d %s % 0.60/0.98 % 0.60/0.98 % Result :Theorem 0.040000s % 0.60/0.98 % Output :CNFRefutation 0.040000s % 0.60/0.99 %------------------------------------------- % 0.60/0.99 %------------------------------------------------------------------------------ % 0.60/0.99 % File : ALG396-1 : TPTP v8.2.0. Released v4.1.0. % 0.60/0.99 % Domain : General Algebra % 0.60/0.99 % Problem : Fundamental theorem of algebra 0647_46 % 0.60/0.99 % Version : Especial. % 0.60/0.99 % English : % 0.60/0.99 % 0.60/0.99 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.60/0.99 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.60/0.99 % Source : [Nip10] % 0.60/0.99 % Names : Fundamental_Theorem_Algebra-0647_46 [Nip10] % 0.60/0.99 % 0.60/0.99 % Status : Unsatisfiable % 0.60/0.99 % Rating : 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.15 v5.4.0, 0.10 v5.3.0, 0.11 v5.2.0, 0.00 v5.1.0, 0.06 v5.0.0, 0.07 v4.1.0 % 0.60/0.99 % Syntax : Number of clauses : 873 ( 130 unt; 112 nHn; 575 RR) % 0.60/0.99 % Number of literals : 2487 ( 403 equ;1503 neg) % 0.60/0.99 % Maximal clause size : 6 ( 2 avg) % 0.60/0.99 % Maximal term depth : 5 ( 1 avg) % 0.60/0.99 % Number of predicates : 65 ( 64 usr; 0 prp; 1-3 aty) % 0.60/0.99 % Number of functors : 25 ( 25 usr; 7 con; 0-3 aty) % 0.60/0.99 % Number of variables : 2392 ( 101 sgn) % 0.60/0.99 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.60/0.99 % 0.60/0.99 % Comments : % 0.60/0.99 %------------------------------------------------------------------------------ % 0.60/0.99 cnf(cls_mult__left__mono_0,axiom, % 0.60/0.99 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 0.60/0.99 | 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) % 0.60/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/0.99 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.60/0.99 % 0.60/0.99 cnf(cls_mult__right__mono_0,axiom, % 0.60/0.99 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 0.60/0.99 | 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) % 0.60/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/0.99 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.60/0.99 % 0.60/0.99 cnf(cls_mult__left__mono__neg_0,axiom, % 0.60/0.99 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.60/0.99 | 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) % 0.60/0.99 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/0.99 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.60/0.99 % 0.60/0.99 cnf(cls_mult__right__mono__neg_0,axiom, % 0.60/0.99 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.60/0.99 | 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) % 0.60/0.99 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/0.99 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.60/0.99 % 0.60/0.99 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom, % 0.60/0.99 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.60/0.99 | ~ class_Int_Onumber__ring(T_a) % 0.60/0.99 | 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) % 0.60/0.99 | V_c = V_d % 0.60/0.99 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/0.99 % 0.60/0.99 cnf(cls_sum__squares__eq__zero__iff_0,axiom, % 0.60/0.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/0.99 | 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) % 0.60/0.99 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/0.99 % 0.60/0.99 cnf(cls_sum__squares__eq__zero__iff_1,axiom, % 0.60/0.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/0.99 | 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) % 0.60/0.99 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/0.99 % 0.60/0.99 cnf(cls_divide__less__eq_0,axiom, % 0.60/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/0.99 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.60/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_divide__less__eq_6,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.60/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.00 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_less__divide__eq_0,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.60/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.00 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_less__divide__eq_6,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.00 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.60/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_mult__imp__div__pos__less_0,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) % 0.60/1.00 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a) % 0.60/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_mult__imp__less__div__pos_0,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.00 | c_HOL_Oord__class_Oless(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.60/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a) % 0.60/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_zero__less__divide__iff_0,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.00 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_zero__less__divide__iff_1,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.00 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_zero__less__divide__iff_2,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.00 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_zero__less__divide__iff_3,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.00 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_divide__nonneg__neg_0,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.00 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_divide__nonpos__pos_0,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.60/1.00 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_mult__idem_0,axiom, % 0.60/1.00 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.60/1.00 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_mult__strict__mono_H_0,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.60/1.00 | 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) % 0.60/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.00 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.60/1.00 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_zmod__simps_I2_J_0,axiom, % 0.60/1.00 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.00 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_zmod__simps_I1_J_0,axiom, % 0.60/1.00 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.00 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_inf__period_I4_J_0,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Odvd(T_a) % 0.60/1.00 | ~ class_Ring__and__Field_Ocomm__ring(T_a) % 0.60/1.00 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a) % 0.60/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a) % 0.60/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_inf__period_I4_J_1,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Odvd(T_a) % 0.60/1.00 | ~ class_Ring__and__Field_Ocomm__ring(T_a) % 0.60/1.00 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a) % 0.60/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a) % 0.60/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_min__max_Osup__inf__distrib1_0,axiom, % 0.60/1.00 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.00 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_min__max_Osup__inf__distrib2_0,axiom, % 0.60/1.00 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.00 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_x,T_a),c_Orderings_Oord__class_Omax(V_z,V_x,T_a),T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_order__less__le_2,axiom, % 0.60/1.00 ( ~ class_Orderings_Oorder(T_a) % 0.60/1.00 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.60/1.00 | V_x = V_y % 0.60/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_order__le__less_0,axiom, % 0.60/1.00 ( ~ class_Orderings_Oorder(T_a) % 0.60/1.00 | V_x = V_y % 0.60/1.00 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.60/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_order__le__neq__trans_0,axiom, % 0.60/1.00 ( ~ class_Orderings_Oorder(T_a) % 0.60/1.00 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.60/1.00 | V_a = V_b % 0.60/1.00 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_order__neq__le__trans_0,axiom, % 0.60/1.00 ( ~ class_Orderings_Oorder(T_a) % 0.60/1.00 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.60/1.00 | ~ c_lessequals(V_a,V_b,T_a) % 0.60/1.00 | V_a = V_b ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_linorder__antisym__conv1_0,axiom, % 0.60/1.00 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.00 | V_x = V_y % 0.60/1.00 | ~ c_lessequals(V_x,V_y,T_a) % 0.60/1.00 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_linorder__antisym__conv2_0,axiom, % 0.60/1.00 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.00 | V_x = V_y % 0.60/1.00 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.60/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_xt1_I12_J_0,axiom, % 0.60/1.00 ( ~ class_Orderings_Oorder(T_a) % 0.60/1.00 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.60/1.00 | ~ c_lessequals(V_b,V_a,T_a) % 0.60/1.00 | V_a = V_b ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_xt1_I11_J_0,axiom, % 0.60/1.00 ( ~ class_Orderings_Oorder(T_a) % 0.60/1.00 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.60/1.00 | V_a = V_b % 0.60/1.00 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_divide__right__mono_0,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.60/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.00 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_divide__right__mono__neg_0,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),T_a) % 0.60/1.00 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.00 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_split__mult__pos__le_0,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.60/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.60/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_split__mult__pos__le_1,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.60/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.60/1.00 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.00 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_mult__nonpos__nonpos_0,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.60/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.60/1.00 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.00 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_zero__le__square_0,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_zero__le__mult__iff_4,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.60/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_zero__le__mult__iff_5,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.60/1.00 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.00 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_mult__nonneg__nonneg_0,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.60/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.60/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_abs__triangle__ineq2_0,axiom, % 0.60/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.00 | 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) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom, % 0.60/1.00 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 0.60/1.00 | 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) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.00 | 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) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.00 | 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) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.00 | 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) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.00 | 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) ) ). % 0.60/1.00 % 0.60/1.00 cnf(cls_class__semiring_Omul__a_0,axiom, % 0.60/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.01 | 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) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.01 | 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) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_mult__right_Oadd_0,axiom, % 0.60/1.01 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.60/1.01 | 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) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_mult_Oadd__right_0,axiom, % 0.60/1.01 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.60/1.01 | 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) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_mult__left_Oadd_0,axiom, % 0.60/1.01 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.60/1.01 | 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) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_mult_Oadd__left_0,axiom, % 0.60/1.01 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.60/1.01 | 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) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_class__semiring_Omul__d_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.01 | 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) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_comm__semiring__class_Odistrib_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a) % 0.60/1.01 | 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) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_frac__less_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a) % 0.60/1.01 | ~ c_lessequals(V_w,V_z,T_a) % 0.60/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 0.60/1.01 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.60/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.60/1.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.01 | ~ 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) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.60/1.01 | 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) % 0.60/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_minus__divide__right_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.01 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.01 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_mult__mono1_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Omult__mono1(T_a) % 0.60/1.01 | 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) % 0.60/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.01 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_cnj_Oadd_0,axiom, % 0.60/1.01 c_Complex_Ocnj(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_Ocnj(V_x),c_Complex_Ocnj(V_y),tc_Complex_Ocomplex) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_pos__add__strict_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.60/1.01 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.60/1.01 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.60/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_dvd__mult__right_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.01 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a) % 0.60/1.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_dvd__mult__left_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.01 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 0.60/1.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_dvd__mult2_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.01 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.60/1.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_dvd__mult_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.01 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.60/1.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_add__minus__cancel_0,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.01 | 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 ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_abs__le__D2_0,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.01 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.60/1.01 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_mult__pos__neg2_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.60/1.01 | 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) % 0.60/1.01 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_mult__pos__neg_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.60/1.01 | 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) % 0.60/1.01 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_mult__neg__pos_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.60/1.01 | 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) % 0.60/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.01 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_mult__le__0__iff_3,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.01 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.01 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.01 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_mult__le__0__iff_2,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.01 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.01 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.01 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_mult__le__0__iff_1,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.01 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.01 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.01 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_mult__le__0__iff_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.01 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.01 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.01 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_mod__add__self2_0,axiom, % 0.60/1.01 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.01 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_mod__add__self1_0,axiom, % 0.60/1.01 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.01 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_b,V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_abs__less__iff_2,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.60/1.01 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) % 0.60/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.60/1.01 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_neg__le__0__iff__le_1,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.01 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_neg__le__0__iff__le_0,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.01 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.01 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_mult__left__idem_0,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.60/1.01 | 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) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_le__eq__neg_1,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.60/1.01 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.60/1.01 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_le__eq__neg_0,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.60/1.01 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.01 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_minus__mult__right_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Oring(T_a) % 0.60/1.01 | 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) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_minus__mult__left_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Oring(T_a) % 0.60/1.01 | 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) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_mult__frac__frac_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.01 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.01 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_z,V_w,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_y,V_w,T_a),T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_abs__eq__mult_3,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 0.60/1.01 | 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) % 0.60/1.01 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.01 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_abs__eq__mult_2,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 0.60/1.01 | 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) % 0.60/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.01 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_abs__eq__mult_1,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 0.60/1.01 | 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) % 0.60/1.01 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_abs__eq__mult_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 0.60/1.01 | 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) % 0.60/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_abs__mult_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.60/1.01 | 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) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_add__le__cancel__right_1,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.60/1.01 | 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) % 0.60/1.01 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_add__le__cancel__right_0,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.60/1.01 | c_lessequals(V_a,V_b,T_a) % 0.60/1.01 | ~ 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) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_add__le__cancel__left_1,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.60/1.01 | 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) % 0.60/1.01 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_add__le__cancel__left_0,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.60/1.01 | c_lessequals(V_a,V_b,T_a) % 0.60/1.01 | ~ 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) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_add__right__mono_0,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.60/1.01 | 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) % 0.60/1.01 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_add__left__mono_0,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.60/1.01 | 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) % 0.60/1.01 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_dvd__mult__cancel__right_1,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.60/1.01 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_dvd__mult__cancel__left_1,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.60/1.01 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a),T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_dvd__trans_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.01 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 0.60/1.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a) % 0.60/1.01 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_dvd__refl_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.01 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_abs__of__nonneg_0,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.01 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 0.60/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_min__max_Osup__idem_0,axiom, % 0.60/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.01 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.60/1.01 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.60/1.01 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.60/1.01 | V_x = V_y ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 0.60/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.01 | V_x = V_y % 0.60/1.01 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.60/1.01 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_linorder__antisym__conv3_0,axiom, % 0.60/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.01 | V_x = V_y % 0.60/1.01 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.60/1.01 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_linorder__less__linear_0,axiom, % 0.60/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.01 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.60/1.01 | V_x = V_y % 0.60/1.01 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_order__antisym__conv_0,axiom, % 0.60/1.01 ( ~ class_Orderings_Oorder(T_a) % 0.60/1.01 | V_x = V_y % 0.60/1.01 | ~ c_lessequals(V_x,V_y,T_a) % 0.60/1.01 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_order__eq__iff_2,axiom, % 0.60/1.01 ( ~ class_Orderings_Oorder(T_a) % 0.60/1.01 | V_x = V_y % 0.60/1.01 | ~ c_lessequals(V_y,V_x,T_a) % 0.60/1.01 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_linorder__neqE_0,axiom, % 0.60/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.01 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.60/1.01 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.60/1.01 | V_x = V_y ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_order__antisym_0,axiom, % 0.60/1.01 ( ~ class_Orderings_Oorder(T_a) % 0.60/1.01 | V_x = V_y % 0.60/1.01 | ~ c_lessequals(V_y,V_x,T_a) % 0.60/1.01 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_real__le__antisym_0,axiom, % 0.60/1.01 ( V_z = V_w % 0.60/1.01 | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal) % 0.60/1.01 | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_compl__eq__compl__iff_0,axiom, % 0.60/1.01 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.60/1.01 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a) % 0.60/1.01 | V_x = V_y ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_neg__equal__iff__equal_0,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.01 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 0.60/1.01 | V_a = V_b ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_eq__divide__imp_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.01 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.01 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_divide__eq__imp_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.01 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.01 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_estimate__by__abs_0,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 0.60/1.01 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) % 0.60/1.01 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_eq__divide__eq_3,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.01 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.01 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) % 0.60/1.01 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_divide__eq__eq_3,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.01 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.01 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a % 0.60/1.01 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_min__max_Oinf__idem_0,axiom, % 0.60/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.01 | c_Orderings_Oord__class_Omin(V_x,V_x,T_a) = V_x ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_abs__le__zero__iff_0,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.01 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.01 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.01 | 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) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.01 | 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) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.01 | 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) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_neg__equal__0__iff__equal_0,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.01 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.01 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_sum__squares__le__zero__iff_2,axiom, % 0.60/1.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.01 | 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) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_add__nonpos__neg_0,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.60/1.01 | 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) % 0.60/1.01 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.01 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_add__neg__nonpos_0,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.60/1.01 | 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) % 0.60/1.01 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.01 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_neg__less__iff__less_1,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.01 | 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) % 0.60/1.01 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.60/1.01 % 0.60/1.01 cnf(cls_neg__less__iff__less_0,axiom, % 0.60/1.01 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.01 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.60/1.02 | ~ 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_abs__div__pos_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_x,T_a),V_y,T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_le__divide__eq_8,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_divide__le__eq_8,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.60/1.02 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_not__sum__squares__lt__zero_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.02 | ~ 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_abs__less__iff_1,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_zero__less__mult__pos2_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.02 | ~ 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_zero__less__mult__pos_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.02 | ~ 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__pos__pos_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.60/1.02 | 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) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__neg__neg_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.02 | 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) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.60/1.02 | 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) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_even__less__0__iff_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_even__less__0__iff_1,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.60/1.02 | 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) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__eq__0__iff_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.60/1.02 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.02 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.02 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_no__zero__divisors_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.60/1.02 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.02 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.02 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_no__zero__divirors__neq0_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.60/1.02 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.02 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.02 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_add__nonneg__eq__0__iff_1,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.60/1.02 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.60/1.02 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_add__nonneg__eq__0__iff_0,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.60/1.02 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.60/1.02 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_double__eq__0__iff_0,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.60/1.02 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.02 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_abs__of__neg_0,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.02 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_abs__if_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oabs__if(T_a) % 0.60/1.02 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_abs__if__lattice_0,axiom, % 0.60/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.02 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 0.60/1.02 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_square__eq__iff_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.60/1.02 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a) % 0.60/1.02 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 0.60/1.02 | V_a = V_b ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__less__imp__less__right_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.02 | ~ 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__less__imp__less__left_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.02 | ~ 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__right__less__imp__less_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.02 | ~ 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__left__less__imp__less_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.02 | ~ 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__imp__le__div__pos_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | c_lessequals(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__imp__div__pos__le_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) % 0.60/1.02 | ~ c_lessequals(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_minus__divide__left_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.02 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_zero__le__mult__iff_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.02 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_zero__le__mult__iff_1,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.02 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_zero__le__mult__iff_2,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.02 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_zero__le__mult__iff_3,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.02 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_min__max_Osup__left__idem_0,axiom, % 0.60/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.02 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omax(V_x,V_y,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_neg__equal__zero_0,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.60/1.02 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a % 0.60/1.02 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_sum__squares__gt__zero__iff_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.02 | ~ 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.02 | 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_diff__frac__eq_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.02 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) % 0.60/1.02 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.02 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult_Ominus__left_0,axiom, % 0.60/1.02 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.60/1.02 | 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__left_Ominus_0,axiom, % 0.60/1.02 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.60/1.02 | 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult_Ominus__right_0,axiom, % 0.60/1.02 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.60/1.02 | 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__right_Ominus_0,axiom, % 0.60/1.02 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.60/1.02 | 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_square__eq__iff_1,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.60/1.02 | 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_minus__mult__minus_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oring(T_a) % 0.60/1.02 | 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__mono_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 0.60/1.02 | 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) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.02 | ~ c_lessequals(V_c,V_d,T_a) % 0.60/1.02 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__mono_H_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 0.60/1.02 | 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) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.02 | ~ c_lessequals(V_c,V_d,T_a) % 0.60/1.02 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_max__add__distrib__left_0,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.60/1.02 | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_divide__less__eq_2,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_divide__less__eq_3,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_divide__less__eq_8,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_divide__less__eq_9,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_less__divide__eq_2,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_less__divide__eq_3,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_less__divide__eq_8,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_less__divide__eq_9,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__less__cancel__left__disj_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.02 | ~ 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__less__cancel__left__disj_3,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.60/1.02 | ~ 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__less__cancel__right__disj_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.02 | ~ 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__less__cancel__right__disj_3,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.60/1.02 | ~ 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mod__minus__eq_0,axiom, % 0.60/1.02 ( ~ class_Divides_Oring__div(T_a) % 0.60/1.02 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a),V_b,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_min__max_Osup__inf__absorb_0,axiom, % 0.60/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.02 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = V_x ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_divide__neg__neg_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_divide__pos__pos_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_zero__less__divide__iff_4,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_zero__less__divide__iff_5,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_min__max_Odistrib__inf__le_0,axiom, % 0.60/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.02 | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_dvd__add_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.02 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 0.60/1.02 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 0.60/1.02 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_min__max_Osup__commute_0,axiom, % 0.60/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.02 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_group__add__class_Odiff__0_0,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.02 | 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_add__frac__num_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a) % 0.60/1.02 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_add__num__frac_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_HOL_Oplus__class_Oplus(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a) % 0.60/1.02 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.02 | 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_diff__def_0,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.60/1.02 | 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_class__ring_Osub__add_0,axiom, % 0.60/1.02 ( ~ class_Int_Onumber__ring(T_a) % 0.60/1.02 | 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_diff__minus_0,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.02 | 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_ab__diff__minus_0,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.60/1.02 | 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_nonzero__minus__divide__divide_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.02 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) % 0.60/1.02 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_dvd__minus__iff_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.60/1.02 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) % 0.60/1.02 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_dvd__minus__iff_1,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.60/1.02 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) % 0.60/1.02 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_minus__dvd__iff_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.60/1.02 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) % 0.60/1.02 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_minus__dvd__iff_1,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.60/1.02 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) % 0.60/1.02 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_divide__strict__right__mono_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_divide__strict__right__mono__neg_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_divide__nonneg__pos_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_divide__nonpos__neg_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_min__add__distrib__left_0,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.60/1.02 | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_divide__self__if_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_abs__leI_0,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.02 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.60/1.02 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_abs__le__iff_2,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.02 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.60/1.02 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_abs__minus__cancel_0,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.02 | 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.60/1.02 | ~ class_Int_Onumber__ring(T_a) % 0.60/1.02 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) % 0.60/1.02 | V_y = V_z ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_add__imp__eq_0,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 0.60/1.02 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 0.60/1.02 | V_b = V_c ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_add__left__cancel_0,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.60/1.02 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 0.60/1.02 | V_b = V_c ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_add__right__cancel_0,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.60/1.02 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) % 0.60/1.02 | V_b = V_c ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_not__square__less__zero_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.02 | ~ 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__le__0__iff_4,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.02 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__le__0__iff_5,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.02 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.02 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_split__mult__neg__le_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.60/1.02 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_split__mult__neg__le_1,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.60/1.02 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.02 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__nonneg__nonpos_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.60/1.02 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__nonpos__nonneg_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.60/1.02 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.02 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__nonneg__nonpos2_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.60/1.02 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_abs__le__zero__iff_1,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.02 | 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) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_add__nonneg__pos_0,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.60/1.02 | 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) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_add__pos__nonneg_0,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.60/1.02 | 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) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_dvd__imp__mod__0_0,axiom, % 0.60/1.02 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.02 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.02 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_dvd__eq__mod__eq__0_1,axiom, % 0.60/1.02 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.02 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.02 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_dvd__0__left_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.02 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.02 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_divide__le__eq_5,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_divide__le__eq_7,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_le__divide__eq_5,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.60/1.02 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_le__divide__eq_7,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.60/1.02 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_min__max_Oinf__assoc_0,axiom, % 0.60/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.02 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_min__max_Oinf__left__commute_0,axiom, % 0.60/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.02 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(V_y,c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_neg__0__le__iff__le_0,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.02 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_neg__0__le__iff__le_1,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.02 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.60/1.02 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult_OscaleR__left_0,axiom, % 0.60/1.02 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.60/1.02 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_a,T_a),V_b,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__left_OscaleR_0,axiom, % 0.60/1.02 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.60/1.02 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult_OscaleR__right_0,axiom, % 0.60/1.02 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.60/1.02 | c_HOL_Otimes__class_Otimes(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__right_OscaleR_0,axiom, % 0.60/1.02 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.60/1.02 | c_HOL_Otimes__class_Otimes(V_xa,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__scaleR__left_0,axiom, % 0.60/1.02 ( ~ class_RealVector_Oreal__algebra(T_a) % 0.60/1.02 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_mult__scaleR__right_0,axiom, % 0.60/1.02 ( ~ class_RealVector_Oreal__algebra(T_a) % 0.60/1.02 | c_HOL_Otimes__class_Otimes(V_x,c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_min__max_Ole__iff__inf_0,axiom, % 0.60/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.02 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_x % 0.60/1.02 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_min__max_Ole__iff__inf_1,axiom, % 0.60/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.02 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) != V_x % 0.60/1.02 | c_lessequals(V_x,V_y,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_min__max_Oinf__absorb2_0,axiom, % 0.60/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.02 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_y % 0.60/1.02 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_nonzero__abs__divide_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) % 0.60/1.02 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_add__cancel__21_0,axiom, % 0.60/1.02 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.60/1.02 | 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) % 0.60/1.02 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_min__max_Ole__iff__sup_0,axiom, % 0.60/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.02 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_y % 0.60/1.02 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_le__divide__eq_6,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_le__divide__eq_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.02 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_divide__le__eq_6,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.02 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_divide__le__eq_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.02 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.60/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.02 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.60/1.02 % 0.60/1.02 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 0.60/1.02 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.60/1.02 | ~ class_Int_Onumber__ring(T_a) % 0.60/1.02 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a) % 0.60/1.02 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.02 % 0.60/1.03 cnf(cls_sum__squares__ge__zero_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_dvd__mod__imp__dvd_0,axiom, % 0.60/1.03 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.03 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) % 0.60/1.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) % 0.60/1.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_dvd__mod__iff_1,axiom, % 0.60/1.03 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.03 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) % 0.60/1.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) % 0.60/1.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_dvd__mod__iff_0,axiom, % 0.60/1.03 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.03 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) % 0.60/1.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) % 0.60/1.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_dvd__mod_0,axiom, % 0.60/1.03 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.03 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) % 0.60/1.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) % 0.60/1.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_le__add__iff2_1,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.60/1.03 | 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) % 0.60/1.03 | ~ 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_le__add__iff2_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.60/1.03 | 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) % 0.60/1.03 | ~ 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_le__add__iff1_1,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.60/1.03 | 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) % 0.60/1.03 | ~ 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_le__add__iff1_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.60/1.03 | 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) % 0.60/1.03 | ~ 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_divide__le__0__iff_5,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.03 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_divide__le__0__iff_4,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_add__increasing2_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.60/1.03 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.60/1.03 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.60/1.03 | ~ c_lessequals(V_b,V_a,T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_add__increasing_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.60/1.03 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.60/1.03 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.60/1.03 | ~ c_lessequals(V_b,V_c,T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_scaleR__minus__right_0,axiom, % 0.60/1.03 ( ~ class_RealVector_Oreal__vector(T_a) % 0.60/1.03 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_scaleR_Ominus__right_0,axiom, % 0.60/1.03 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.60/1.03 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Oinf__sup__distrib2_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_x,T_a),c_Orderings_Oord__class_Omin(V_z,V_x,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Oinf__sup__distrib1_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_abs__minus__le__zero_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Ole__sup__iff_2,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) % 0.60/1.03 | ~ c_lessequals(V_y,V_z,T_a) % 0.60/1.03 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Osup__least_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) % 0.60/1.03 | ~ c_lessequals(V_z,V_x,T_a) % 0.60/1.03 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Ole__supI_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) % 0.60/1.03 | ~ c_lessequals(V_b,V_x,T_a) % 0.60/1.03 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_le__maxI1_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_le__maxI2_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_eq__add__iff2_1,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oring(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_neg__le__iff__le_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.03 | c_lessequals(V_a,V_b,T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_le__imp__neg__le_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.03 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.60/1.03 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_abs__le__mult_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Olordered__ring(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_abs__le__D1_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.03 | c_lessequals(V_a,V_b,T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mult__strict__mono_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.60/1.03 | 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) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_zmod__simps_I4_J_0,axiom, % 0.60/1.03 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.03 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_divide__left__mono__neg_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a) % 0.60/1.03 | ~ 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) % 0.60/1.03 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_divide__left__mono_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a) % 0.60/1.03 | ~ 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) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.03 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Oinf__greatest_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) % 0.60/1.03 | ~ c_lessequals(V_x,V_z,T_a) % 0.60/1.03 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Ole__inf__iff_2,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) % 0.60/1.03 | ~ c_lessequals(V_x,V_z,T_a) % 0.60/1.03 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Ole__infI_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) % 0.60/1.03 | ~ c_lessequals(V_x,V_b,T_a) % 0.60/1.03 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Oinf__le2_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_y,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Oinf__le1_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_x,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_max__less__iff__conj_2,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_complex__mod__cnj_0,axiom, % 0.60/1.03 c_RealVector_Onorm__class_Onorm(c_Complex_Ocnj(V_z),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_dvd__triv__right_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.03 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_dvd__triv__left_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.03 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_dvdI_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Odvd(T_a) % 0.60/1.03 | c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_frac__less2_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_w,V_z,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 0.60/1.03 | ~ c_lessequals(V_x,V_y,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_nonzero__minus__divide__right_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.03 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.60/1.03 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_neg__less__0__iff__less_1,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_neg__less__0__iff__less_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mod__0_0,axiom, % 0.60/1.03 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.03 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__less__iff__conj_2,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.60/1.03 | ~ class_Int_Onumber__ring(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_class__ringb_Onoteq__reduce_1,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.60/1.03 | ~ class_Int_Onumber__ring(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_abs__triangle__ineq3_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Oinf__left__idem_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omin(V_x,V_y,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_abs__mult__less_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.60/1.03 | 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) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_cnj_Ozero_0,axiom, % 0.60/1.03 c_Complex_Ocnj(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_add__nonneg__eq__0__iff_2,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_class__semiring_Omul__c_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.03 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_double__eq__0__iff_1,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.03 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mod__add__eq_0,axiom, % 0.60/1.03 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.03 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_xt1_I10_J_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Oorder(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_order__less__trans_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Opreorder(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_abs__eq__0_1,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.03 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_class__semiring_Oadd__a_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_add__cancel__21_1,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_neg__0__equal__iff__equal_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.03 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.60/1.03 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_abs__triangle__ineq_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_less__le__not__le_1,axiom, % 0.60/1.03 ( ~ class_Orderings_Opreorder(T_a) % 0.60/1.03 | ~ c_lessequals(V_y,V_x,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_not__leE_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.60/1.03 | c_lessequals(V_y,V_x,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_linorder__antisym__conv2_1,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | ~ c_lessequals(V_x,V_x,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_linorder__antisym__conv1_1,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_x,V_x,T_a) % 0.60/1.03 | c_lessequals(V_x,V_x,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_linorder__not__less_1,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.60/1.03 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_linorder__not__less_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(V_y,V_x,T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_linorder__not__le_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.60/1.03 | c_lessequals(V_x,V_y,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_linorder__not__le_1,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | ~ c_lessequals(V_x,V_y,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mod__add__right__eq_0,axiom, % 0.60/1.03 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.03 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mod__add__left__eq_0,axiom, % 0.60/1.03 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.03 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_zero__le__divide__iff_3,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_zero__le__divide__iff_2,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_zero__le__divide__iff_1,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_zero__le__divide__iff_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_add__strict__increasing2_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.60/1.03 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Oinf__sup__absorb_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = V_x ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mult__right__le__imp__le_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.60/1.03 | c_lessequals(V_a,V_b,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.03 | ~ 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mult__left__le__imp__le_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.60/1.03 | c_lessequals(V_a,V_b,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.03 | ~ 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mult__le__cancel__left__pos_1,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.03 | 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) % 0.60/1.03 | ~ c_lessequals(V_a,V_b,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mult__le__cancel__left__pos_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.03 | c_lessequals(V_a,V_b,T_a) % 0.60/1.03 | ~ 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) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mult__le__cancel__left__neg_1,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.03 | 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) % 0.60/1.03 | ~ c_lessequals(V_b,V_a,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mult__le__cancel__left__neg_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.03 | c_lessequals(V_b,V_a,T_a) % 0.60/1.03 | ~ 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) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Ole__iff__sup_1,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) != V_y % 0.60/1.03 | c_lessequals(V_x,V_y,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Osup__absorb1_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_x % 0.60/1.03 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_add__nonneg__nonneg_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.60/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_divide_OscaleR_0,axiom, % 0.60/1.03 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.60/1.03 | c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_add__mono_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.60/1.03 | 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) % 0.60/1.03 | ~ c_lessequals(V_c,V_d,T_a) % 0.60/1.03 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.60/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.60/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_DERIV__mult__lemma_0,axiom, % 0.60/1.03 ( ~ class_RealVector_Oreal__field(T_a) % 0.60/1.03 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a),V_h,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),V_h,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),V_h,T_a),V_d,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mod__mod__trivial_0,axiom, % 0.60/1.03 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.03 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_abs__diff__triangle__ineq_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_add__strict__increasing_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.60/1.03 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.60/1.03 | ~ c_lessequals(V_b,V_c,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_le__minus__self__iff_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.60/1.03 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_le__minus__self__iff_1,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.60/1.03 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.60/1.03 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_minus__le__self__iff_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.60/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_minus__le__self__iff_1,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.60/1.03 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_less__eq__neg__nonpos_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.60/1.03 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_less__eq__neg__nonpos_1,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.60/1.03 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.60/1.03 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_neg__less__eq__nonneg_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.60/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_neg__less__eq__nonneg_1,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.60/1.03 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_eq__add__iff1_1,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oring(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_dvd__mult__cancel__left_2,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.60/1.03 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.60/1.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_dvd__mult__cancel__right_2,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.60/1.03 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.60/1.03 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_abs__idempotent_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_eq__add__iff1_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oring(T_a) % 0.60/1.03 | 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) % 0.60/1.03 | 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 ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_eq__add__iff2_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oring(T_a) % 0.60/1.03 | 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) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_zero__less__abs__iff_1,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) % 0.60/1.03 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_norm__minus__cancel_0,axiom, % 0.60/1.03 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_complex__cnj__cnj_0,axiom, % 0.60/1.03 c_Complex_Ocnj(c_Complex_Ocnj(V_z)) = V_z ). % 0.60/1.03 % 0.60/1.03 cnf(cls_scaleR_OscaleR__right_0,axiom, % 0.60/1.03 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.60/1.03 | c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_scaleR__left__commute_0,axiom, % 0.60/1.03 ( ~ class_RealVector_Oreal__vector(T_a) % 0.60/1.03 | c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_b,c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_scaleR__right_OscaleR_0,axiom, % 0.60/1.03 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.60/1.03 | c_RealVector_OscaleR__class_OscaleR(V_ra,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_ra,V_x,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mod__by__0_0,axiom, % 0.60/1.03 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.03 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mod__self_0,axiom, % 0.60/1.03 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.03 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.03 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_class__semiring_Oadd__c_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.03 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.60/1.03 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_divide__le__0__iff_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_divide__le__0__iff_1,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_divide__le__0__iff_2,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_divide__le__0__iff_3,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.03 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mod__minus__cong_0,axiom, % 0.60/1.03 ( ~ class_Divides_Oring__div(T_a) % 0.60/1.03 | c_Divides_Odiv__class_Omod(V_a,V_b,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_b,T_a) % 0.60/1.03 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a_H,T_a),V_b,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mod__mult__eq_0,axiom, % 0.60/1.03 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.03 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_le__max__iff__disj_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(V_z,V_y,T_a) % 0.60/1.03 | c_lessequals(V_z,V_x,T_a) % 0.60/1.03 | ~ c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Ole__infE_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(V_x,V_a,T_a) % 0.60/1.03 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Ole__infE_1,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(V_x,V_b,T_a) % 0.60/1.03 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Ole__infI1_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.60/1.03 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Ole__infI2_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.60/1.03 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__le__iff__disj_1,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.60/1.03 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__le__iff__disj_2,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.60/1.03 | ~ c_lessequals(V_y,V_z,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Ole__inf__iff_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(V_x,V_y,T_a) % 0.60/1.03 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Ole__inf__iff_1,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(V_x,V_z,T_a) % 0.60/1.03 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_divide__less__eq_1,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_divide__less__eq_4,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_divide__less__eq_5,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_divide__less__eq_7,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_less__divide__eq_1,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_less__divide__eq_4,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_less__divide__eq_5,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_less__divide__eq_7,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_abs__ge__minus__self_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.03 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_abs__ge__self_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.03 | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_less__add__iff1_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.60/1.03 | 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) % 0.60/1.03 | ~ 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_less__add__iff1_1,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.60/1.03 | 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) % 0.60/1.03 | ~ 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_less__add__iff2_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.60/1.03 | 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) % 0.60/1.03 | ~ 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_less__add__iff2_1,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.60/1.03 | 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) % 0.60/1.03 | ~ 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__le__iff__disj_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(V_y,V_z,T_a) % 0.60/1.03 | c_lessequals(V_x,V_z,T_a) % 0.60/1.03 | ~ c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_eq__divide__eq_4,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mod__add__cong_0,axiom, % 0.60/1.03 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.03 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a) % 0.60/1.03 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a) % 0.60/1.03 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a_H,V_b_H,T_a),V_c,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Ole__supE_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(V_a,V_x,T_a) % 0.60/1.03 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Ole__supE_1,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(V_b,V_x,T_a) % 0.60/1.03 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Ole__supI1_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.60/1.03 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Ole__supI2_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.60/1.03 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_le__max__iff__disj_1,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.60/1.03 | ~ c_lessequals(V_z,V_x,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_le__max__iff__disj_2,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.60/1.03 | ~ c_lessequals(V_z,V_y,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Ole__sup__iff_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(V_x,V_z,T_a) % 0.60/1.03 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Ole__sup__iff_1,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_lessequals(V_y,V_z,T_a) % 0.60/1.03 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_less__max__iff__disj_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_minus__unique_0,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.03 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.03 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_eq__neg__iff__add__eq__0_1,axiom, % 0.60/1.03 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.03 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.03 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_abs__less__iff_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__less__iff__disj_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_class__ringb_Onoteq__reduce_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.60/1.03 | ~ class_Int_Onumber__ring(T_a) % 0.60/1.03 | 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) % 0.60/1.03 | V_c = V_d % 0.60/1.03 | V_a = V_b ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.60/1.03 | ~ class_Int_Onumber__ring(T_a) % 0.60/1.03 | 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) % 0.60/1.03 | V_y = V_z % 0.60/1.03 | V_w = V_x ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_abs__mult__self_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mod__mult__cong_0,axiom, % 0.60/1.03 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.03 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a) % 0.60/1.03 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a) % 0.60/1.03 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a_H,V_b_H,T_a),V_c,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_dvd__0__right_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.03 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_add__frac__eq_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.03 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) % 0.60/1.03 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.03 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_divide__eq__eq_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) % 0.60/1.03 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_eq__divide__eq_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b % 0.60/1.03 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.03 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.03 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mult__left_Ozero_0,axiom, % 0.60/1.03 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.60/1.03 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mult_Ozero__left_0,axiom, % 0.60/1.03 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.60/1.03 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mult_Ozero__right_0,axiom, % 0.60/1.03 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.60/1.03 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mult__right_Ozero_0,axiom, % 0.60/1.03 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.60/1.03 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_class__semiring_Omul__0_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.03 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mult__zero__left_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.60/1.03 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mult__zero__right_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.60/1.03 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mult__eq__0__iff_1,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.60/1.03 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mult__eq__0__iff_2,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.60/1.03 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_minus__divide__divide_0,axiom, % 0.60/1.03 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.03 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_divide_Ominus_0,axiom, % 0.60/1.03 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.60/1.03 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_mult_Oprod__diff__prod_0,axiom, % 0.60/1.03 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.60/1.03 | 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) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_max__less__iff__conj_1,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_max__less__iff__conj_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_less__max__iff__disj_2,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_less__max__iff__disj_1,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Oless__supI2_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Oless__supI1_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.60/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_min__max_Oinf__commute_0,axiom, % 0.60/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.03 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = c_Orderings_Oord__class_Omin(V_y,V_x,T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_scaleR_Ozero__right_0,axiom, % 0.60/1.03 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.60/1.03 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_scaleR__eq__0__iff_2,axiom, % 0.60/1.03 ( ~ class_RealVector_Oreal__vector(T_a) % 0.60/1.03 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.03 % 0.60/1.03 cnf(cls_combine__common__factor_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Osemiring(T_a) % 0.60/1.04 | 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) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_eq__neg__iff__add__eq__0_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.04 | 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) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_ab__left__minus_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.60/1.04 | 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) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_right__minus_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.04 | 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) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_left__minus_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.04 | 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) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_add__neg__neg_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_sum__squares__le__zero__iff_1,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.04 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.04 | ~ 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) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_sum__squares__le__zero__iff_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.04 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.04 | ~ 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) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_divide__zero__left_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.04 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_divide__eq__eq_1,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_divide__zero_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_divide_Ozero_0,axiom, % 0.60/1.04 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.60/1.04 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_min__less__iff__disj_2,axiom, % 0.60/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_min__less__iff__disj_1,axiom, % 0.60/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_min__less__iff__conj_1,axiom, % 0.60/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_min__less__iff__conj_0,axiom, % 0.60/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_min__max_Oless__infI2_0,axiom, % 0.60/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_min__max_Oless__infI1_0,axiom, % 0.60/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_abs__diff__less__iff_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) % 0.60/1.04 | ~ 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) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_abs__divide_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_abs__of__pos_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.04 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mod__mult__right__eq_0,axiom, % 0.60/1.04 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.04 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mod__mult__left__eq_0,axiom, % 0.60/1.04 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.04 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_sum__squares__gt__zero__iff_2,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_sum__squares__gt__zero__iff_1,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_scaleR__right_Oadd_0,axiom, % 0.60/1.04 ( ~ class_RealVector_Oreal__vector(T_a) % 0.60/1.04 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_scaleR_Oadd__right_0,axiom, % 0.60/1.04 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.60/1.04 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b_H,T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_divide__less__0__iff_3,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_divide__less__0__iff_2,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_divide__less__0__iff_1,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_divide__less__0__iff_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_add__cancel__end_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.60/1.04 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y % 0.60/1.04 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mult__divide__mult__cancel__right_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) % 0.60/1.04 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mult__divide__mult__cancel__left_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) % 0.60/1.04 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mult__frac__num_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),V_y,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_abs__of__nonpos_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.04 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.60/1.04 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mult__strict__left__mono__comm_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mult__less__cancel__right__disj_5,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mult__less__cancel__right__disj_4,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mult__strict__right__mono_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mult__strict__right__mono__neg_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mult__less__cancel__left__disj_5,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mult__less__cancel__left__disj_4,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mult__strict__left__mono_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mult__strict__left__mono__neg_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mult__less__cancel__left__pos_1,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mult__less__cancel__left__pos_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.60/1.04 | ~ 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mult__less__cancel__left__neg_1,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mult__less__cancel__left__neg_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.60/1.04 | ~ 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_min__max_Osup__left__commute_0,axiom, % 0.60/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.04 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(V_y,c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_min__max_Osup__assoc_0,axiom, % 0.60/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.04 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_diff__minus__eq__add_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.04 | 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) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mod__mult__self2_0,axiom, % 0.60/1.04 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.04 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mod__mult__self1_0,axiom, % 0.60/1.04 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.04 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_dvd__mult__cancel__right_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.60/1.04 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) % 0.60/1.04 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.04 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_dvd__mult__cancel__left_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.60/1.04 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) % 0.60/1.04 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.04 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.60/1.04 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_add__0__left_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.60/1.04 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.60/1.04 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.60/1.04 | ~ class_Int_Onumber__ring(T_a) % 0.60/1.04 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_class__semiring_Oadd__0_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.04 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.60/1.04 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.04 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.04 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_le__divide__eq_9,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.60/1.04 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.60/1.04 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_le__divide__eq_3,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.60/1.04 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_le__divide__eq_2,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.04 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_divide__le__eq_9,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.60/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.04 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.60/1.04 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_divide__le__eq_3,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.60/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_divide__le__eq_2,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.04 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_add__divide__distrib_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.04 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_divide_Oadd_0,axiom, % 0.60/1.04 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.60/1.04 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_abs__diff__less__iff_2,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_minus__equation__iff_1,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.04 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_equation__minus__iff_1,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.04 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_equation__minus__iff_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.04 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_double__compl_0,axiom, % 0.60/1.04 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.60/1.04 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_minus__minus_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.04 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_add__less__le__mono_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | ~ c_lessequals(V_c,V_d,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_add__le__less__mono_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.60/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_minus__less__iff_1,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_minus__less__iff_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_less__minus__iff_1,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_less__minus__iff_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_minus__le__iff_1,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.04 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.60/1.04 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_minus__le__iff_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.04 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 0.60/1.04 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_le__minus__iff_1,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.04 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.60/1.04 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_le__minus__iff_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.04 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.60/1.04 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_abs__mult__pos_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_abs__dvd__iff_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.60/1.04 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) % 0.60/1.04 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_abs__dvd__iff_1,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.60/1.04 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a) % 0.60/1.04 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_dvd__abs__iff_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.60/1.04 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) % 0.60/1.04 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_dvd__abs__iff_1,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.60/1.04 | c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a) % 0.60/1.04 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_linorder__neq__iff_1,axiom, % 0.60/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_order__less__le_1,axiom, % 0.60/1.04 ( ~ class_Orderings_Oorder(T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_order__less__irrefl_0,axiom, % 0.60/1.04 ( ~ class_Orderings_Opreorder(T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_less__le__not__le_2,axiom, % 0.60/1.04 ( ~ class_Orderings_Opreorder(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.60/1.04 | c_lessequals(V_y,V_x,T_a) % 0.60/1.04 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_add__pos__pos_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_le__iff__diff__le__0_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.04 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_le__iff__diff__le__0_1,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.04 | c_lessequals(V_a,V_b,T_a) % 0.60/1.04 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_add__strict__mono_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_order__le__less_1,axiom, % 0.60/1.04 ( ~ class_Orderings_Oorder(T_a) % 0.60/1.04 | c_lessequals(V_x,V_y,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_order__less__imp__le_0,axiom, % 0.60/1.04 ( ~ class_Orderings_Opreorder(T_a) % 0.60/1.04 | c_lessequals(V_x,V_y,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_add__cancel__end_1,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.60/1.04 | 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 ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_minus__add__cancel_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.04 | 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 ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_zero__le__divide__iff_4,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 0.60/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_zero__le__divide__iff_5,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 0.60/1.04 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_frac__le_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a) % 0.60/1.04 | ~ c_lessequals(V_w,V_z,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 0.60/1.04 | ~ c_lessequals(V_x,V_y,T_a) % 0.60/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_less__iff__diff__less__0_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_less__iff__diff__less__0_1,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.60/1.04 | ~ 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) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_abs__not__less__zero_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_divide__strict__left__mono_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a) % 0.60/1.04 | ~ 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_divide__strict__left__mono__neg_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a) % 0.60/1.04 | ~ 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_neg__0__equal__iff__equal_1,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.04 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mult__le__less__imp__less_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.60/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mult__less__le__imp__less_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.60/1.04 | 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) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.60/1.04 | ~ c_lessequals(V_c,V_d,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_complex__cnj__zero__iff_0,axiom, % 0.60/1.04 ( c_Complex_Ocnj(V_z) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) % 0.60/1.04 | V_z = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_complex__cnj__cancel__iff_0,axiom, % 0.60/1.04 ( c_Complex_Ocnj(V_x) != c_Complex_Ocnj(V_y) % 0.60/1.04 | V_x = V_y ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_minus__mult__commute_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oring(T_a) % 0.60/1.04 | 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) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_abs__triangle__ineq4_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.04 | 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) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_minus__zero_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.04 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_neg__equal__zero_1,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.60/1.04 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mod__mod__cancel_0,axiom, % 0.60/1.04 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.04 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(V_a,V_c,T_a) % 0.60/1.04 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_b,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.60/1.04 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.60/1.04 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_abs__if__lattice_1,axiom, % 0.60/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.04 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 0.60/1.04 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 0.60/1.04 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_abs__if_1,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oabs__if(T_a) % 0.60/1.04 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 0.60/1.04 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_mult__dvd__mono_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.60/1.04 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.60/1.04 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a) % 0.60/1.04 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_abs__add__abs_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.04 | 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) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_divide__le__eq_1,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.04 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_divide__le__eq_4,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_le__divide__eq_1,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.04 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_le__divide__eq_4,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.04 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_abs__eq__0_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.04 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.04 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_zero__less__abs__iff_0,axiom, % 0.60/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.04 | ~ 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) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_divide__neg__pos_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_divide__pos__neg_0,axiom, % 0.60/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.60/1.04 % 0.60/1.04 cnf(cls_divide__less__0__iff_4,axiom, % 0.60/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_divide__less__0__iff_5,axiom, % 0.60/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.60/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_add__less__cancel__left_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.60/1.05 | ~ 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) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_add__less__cancel__left_1,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.60/1.05 | 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) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_add__strict__left__mono_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.60/1.05 | 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) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_add__less__cancel__right_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.60/1.05 | ~ 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) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_add__less__cancel__right_1,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.60/1.05 | 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) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_add__strict__right__mono_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.60/1.05 | 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) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_order__eq__refl_0,axiom, % 0.60/1.05 ( ~ class_Orderings_Opreorder(T_a) % 0.60/1.05 | c_lessequals(V_x,V_x,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_order__eq__iff_0,axiom, % 0.60/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.60/1.05 | c_lessequals(V_x,V_x,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_real__le__trans_0,axiom, % 0.60/1.05 ( c_lessequals(V_i,V_k,tc_RealDef_Oreal) % 0.60/1.05 | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal) % 0.60/1.05 | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_real__le__refl_0,axiom, % 0.60/1.05 c_lessequals(V_w,V_w,tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_order__le__less__trans_0,axiom, % 0.60/1.05 ( ~ class_Orderings_Opreorder(T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.60/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_order__less__le__trans_0,axiom, % 0.60/1.05 ( ~ class_Orderings_Opreorder(T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.60/1.05 | ~ c_lessequals(V_y,V_z,T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_le__add__right__mono_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.05 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 0.60/1.05 | ~ c_lessequals(V_c,V_d,T_a) % 0.60/1.05 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_order__trans_0,axiom, % 0.60/1.05 ( ~ class_Orderings_Opreorder(T_a) % 0.60/1.05 | c_lessequals(V_x,V_z,T_a) % 0.60/1.05 | ~ c_lessequals(V_y,V_z,T_a) % 0.60/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_add__nonpos__nonpos_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.60/1.05 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.05 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.05 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_xt1_I8_J_0,axiom, % 0.60/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.60/1.05 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_xt1_I7_J_0,axiom, % 0.60/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.60/1.05 | ~ c_lessequals(V_z,V_y,T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_xt1_I6_J_0,axiom, % 0.60/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.60/1.05 | c_lessequals(V_z,V_x,T_a) % 0.60/1.05 | ~ c_lessequals(V_z,V_y,T_a) % 0.60/1.05 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_mod__mult__self1__is__0_0,axiom, % 0.60/1.05 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.05 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_mod__mult__self2__is__0_0,axiom, % 0.60/1.05 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.05 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_scaleR__cancel__right_1,axiom, % 0.60/1.05 ( ~ class_RealVector_Oreal__vector(T_a) % 0.60/1.05 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_scaleR__cancel__right_0,axiom, % 0.60/1.05 ( ~ class_RealVector_Oreal__vector(T_a) % 0.60/1.05 | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a) % 0.60/1.05 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.05 | V_a = V_b ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_sum__squares__eq__zero__iff_2,axiom, % 0.60/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.05 | 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) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_mult__less__cancel__left__disj_1,axiom, % 0.60/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.05 | ~ 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) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_mult__less__cancel__left__disj_2,axiom, % 0.60/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.60/1.05 | ~ 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) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_mult__less__cancel__right__disj_1,axiom, % 0.60/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.60/1.05 | ~ 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) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_mult__less__cancel__right__disj_2,axiom, % 0.60/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.60/1.05 | ~ 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) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_abs__diff__less__iff_1,axiom, % 0.60/1.05 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a) % 0.60/1.05 | ~ 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) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_eq__divide__eq_2,axiom, % 0.60/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.05 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_min__max_Odistrib__sup__le_0,axiom, % 0.60/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.05 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a),T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_neg__0__less__iff__less_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_neg__0__less__iff__less_1,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_frac__eq__eq_0,axiom, % 0.60/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.05 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) != c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) % 0.60/1.05 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.05 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.05 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) = c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_frac__eq__eq_1,axiom, % 0.60/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.05 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) != c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) % 0.60/1.05 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.05 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.05 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_mod__mult__mult1_0,axiom, % 0.60/1.05 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.05 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_c,c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_mod__mult__mult2_0,axiom, % 0.60/1.05 ( ~ class_Divides_Osemiring__div(T_a) % 0.60/1.05 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_less__minus__self__iff_0,axiom, % 0.60/1.05 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_less__minus__self__iff_1,axiom, % 0.60/1.05 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_abs__ge__zero_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_divide__eq__eq_4,axiom, % 0.60/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.60/1.05 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_dvd__if__abs__eq_0,axiom, % 0.60/1.05 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.60/1.05 | c_HOL_Oabs__class_Oabs(V_l,T_a) != c_HOL_Oabs__class_Oabs(V_k,T_a) % 0.60/1.05 | c_Ring__and__Field_Odvd__class_Odvd(V_l,V_k,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_minus__add_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.05 | 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) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_minus__add__distrib_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.60/1.05 | 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) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_order__less__asym_H_0,axiom, % 0.60/1.05 ( ~ class_Orderings_Opreorder(T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_order__less__asym_0,axiom, % 0.60/1.05 ( ~ class_Orderings_Opreorder(T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_linorder__linear_0,axiom, % 0.60/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.05 | c_lessequals(V_y,V_x,T_a) % 0.60/1.05 | c_lessequals(V_x,V_y,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_real__le__linear_0,axiom, % 0.60/1.05 ( c_lessequals(V_w,V_z,tc_RealDef_Oreal) % 0.60/1.05 | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 0.60/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_xt1_I9_J_0,axiom, % 0.60/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_th_0,axiom, % 0.60/1.05 c_Polynomial_Opoly(v_q____,c_HOL_Ominus__class_Ominus(V_x,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_pa____,V_x,tc_Complex_Ocomplex) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_Lim_Ominus__diff__minus_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.60/1.05 | 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) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_mod__diff__cong_0,axiom, % 0.60/1.05 ( ~ class_Divides_Oring__div(T_a) % 0.60/1.05 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a) % 0.60/1.05 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a) % 0.60/1.05 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a_H,V_b_H,T_a),V_c,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_min__diff__distrib__left_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.05 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_poly__pcompose_0,axiom, % 0.60/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.60/1.05 | c_Polynomial_Opoly(c_Polynomial_Opcompose(V_p,V_q,T_a),V_x,T_a) = c_Polynomial_Opoly(V_p,c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_mod__diff__right__eq_0,axiom, % 0.60/1.05 ( ~ class_Divides_Oring__div(T_a) % 0.60/1.05 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_mod__diff__left__eq_0,axiom, % 0.60/1.05 ( ~ class_Divides_Oring__div(T_a) % 0.60/1.05 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_max__diff__distrib__left_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.05 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_mod__diff__eq_0,axiom, % 0.60/1.05 ( ~ class_Divides_Oring__div(T_a) % 0.60/1.05 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_q_I1_J_0,axiom, % 0.60/1.05 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v_q____,tc_Complex_Ocomplex) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v_pa____,tc_Complex_Ocomplex) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_abs__minus__commute_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.60/1.05 | 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) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_le__eqI_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.60/1.05 | c_lessequals(V_y_H,V_x_H,T_a) % 0.60/1.05 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_le__eqI_1,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.60/1.05 | c_lessequals(V_y,V_x,T_a) % 0.60/1.05 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_less__eqI_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_less__eqI_1,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.60/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.60/1.05 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.60/1.05 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_calculation_0,axiom, % 0.60/1.05 ( c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) % 0.60/1.05 | c_Polynomial_Opoly(v_pa____,v_sko__unknown__thm__rrB__1(v_pa____),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_cnj_Odiff_0,axiom, % 0.60/1.05 c_Complex_Ocnj(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Ominus__class_Ominus(c_Complex_Ocnj(V_x),c_Complex_Ocnj(V_y),tc_Complex_Ocomplex) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_scaleR__right_Odiff_0,axiom, % 0.60/1.05 ( ~ class_RealVector_Oreal__vector(T_a) % 0.60/1.05 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_scaleR_Odiff__right_0,axiom, % 0.60/1.05 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.60/1.05 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b_H,T_a),T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_c_0,axiom, % 0.60/1.05 c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_diff__divide__distrib_0,axiom, % 0.60/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.60/1.05 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_divide_Odiff_0,axiom, % 0.60/1.05 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.60/1.05 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_q_I2_J_0,axiom, % 0.60/1.05 c_Polynomial_Opoly(v_q____,V_x,tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_pa____,c_HOL_Oplus__class_Oplus(v_c____,V_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_dvd__diff_0,axiom, % 0.60/1.05 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.60/1.05 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) % 0.60/1.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,T_a) % 0.60/1.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_eq__iff__diff__eq__0_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.60/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_right__minus__eq_1,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_diff__0__right_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.05 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_diff__self_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.05 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_class__ringb_Osubr0__iff_1,axiom, % 0.60/1.05 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.60/1.05 | ~ class_Int_Onumber__ring(T_a) % 0.60/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_diff__add__cancel_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.05 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_eq__eqI_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.60/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.60/1.05 | V_x_H = V_y_H ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_eq__eqI_1,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.60/1.05 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 0.60/1.05 | V_xa = V_y ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_eq__iff__diff__eq__0_1,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.60/1.05 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.05 | V_a = V_b ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_right__minus__eq_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.05 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.05 | V_a = V_b ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_class__ringb_Osubr0__iff_0,axiom, % 0.60/1.05 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.60/1.05 | ~ class_Int_Onumber__ring(T_a) % 0.60/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.60/1.05 | V_x = V_y ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_mult__right_Odiff_0,axiom, % 0.60/1.05 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.60/1.05 | 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) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_mult_Odiff__right_0,axiom, % 0.60/1.05 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.60/1.05 | 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) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_mult_Odiff__left_0,axiom, % 0.60/1.05 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.60/1.05 | 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) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_mult__left_Odiff_0,axiom, % 0.60/1.05 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.60/1.05 | 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) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_Deriv_Oadd__diff__add_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.60/1.05 | 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) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_poly__diff_0,axiom, % 0.60/1.05 ( ~ class_Ring__and__Field_Ocomm__ring(T_a) % 0.60/1.05 | c_Polynomial_Opoly(c_HOL_Ominus__class_Ominus(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(V_p,V_x,T_a),c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_norm__minus__commute_0,axiom, % 0.60/1.05 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.60/1.05 | 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) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_pc0_0,axiom, % 0.60/1.05 c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_add__diff__cancel_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.60/1.05 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_minus__diff__eq_0,axiom, % 0.60/1.05 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.60/1.05 | 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) ) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_CHAINED_0,axiom, % 0.60/1.05 c_Polynomial_Opoly(v_q____,c_HOL_Ominus__class_Ominus(V_x,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_pa____,V_x,tc_Complex_Ocomplex) ). % 0.60/1.05 % 0.60/1.05 cnf(cls_conjecture_0,negated_conjecture, % 0.60/1.05 c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,c_HOL_Ominus__class_Ominus(v_x____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.60/1.05 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1)) % 0.60/1.05 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.60/1.05 class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.60/1.05 class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.60/1.05 class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.60/1.05 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.60/1.05 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.60/1.05 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.60/1.05 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.60/1.05 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.60/1.05 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.60/1.05 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.60/1.05 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.60/1.05 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom, % 0.60/1.05 class_Ring__and__Field_Opordered__semiring(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom, % 0.60/1.05 class_Ring__and__Field_Oordered__semiring(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom, % 0.60/1.05 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom, % 0.60/1.05 class_Ring__and__Field_Oordered__semidom(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.60/1.05 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.60/1.05 class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom, % 0.60/1.05 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 0.60/1.05 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom, % 0.60/1.05 class_Ring__and__Field_Ocomm__semiring(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 0.60/1.05 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom, % 0.60/1.05 class_Ring__and__Field_Omult__mono1(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom, % 0.60/1.05 class_Ring__and__Field_Omult__zero(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom, % 0.60/1.05 class_Ring__and__Field_Omult__mono(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom, % 0.60/1.05 class_Ring__and__Field_Osemiring(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom, % 0.60/1.05 class_OrderedGroup_Omonoid__add(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__Divides_Osemiring__div,axiom, % 0.60/1.05 class_Divides_Osemiring__div(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__Ring__and__Field_Odvd,axiom, % 0.60/1.05 class_Ring__and__Field_Odvd(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 0.60/1.05 class_Orderings_Opreorder(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 0.60/1.05 class_Orderings_Olinorder(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_nat__Orderings_Oorder,axiom, % 0.60/1.05 class_Orderings_Oorder(tc_nat) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.60/1.05 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.60/1.05 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.60/1.05 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.60/1.05 class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.60/1.05 class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.60/1.05 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom, % 0.60/1.05 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom, % 0.60/1.05 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.60/1.05 class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.60/1.05 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.60/1.05 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom, % 0.60/1.05 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom, % 0.60/1.05 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom, % 0.60/1.05 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom, % 0.60/1.05 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.60/1.05 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom, % 0.60/1.05 class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs,axiom, % 0.60/1.05 class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom, % 0.60/1.05 class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom, % 0.60/1.05 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom, % 0.60/1.05 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom, % 0.60/1.05 class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.60/1.05 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.60/1.05 class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom, % 0.60/1.05 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom, % 0.60/1.05 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom, % 0.60/1.05 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom, % 0.60/1.05 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom, % 0.60/1.05 class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom, % 0.60/1.05 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring,axiom, % 0.60/1.05 class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.60/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom, % 0.60/1.05 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ). % 0.60/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom, % 0.80/1.05 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom, % 0.80/1.05 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom, % 0.80/1.05 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1,axiom, % 0.80/1.05 class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom, % 0.80/1.05 class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom, % 0.80/1.05 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom, % 0.80/1.05 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom, % 0.80/1.05 class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring,axiom, % 0.80/1.05 class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom, % 0.80/1.05 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra,axiom, % 0.80/1.05 class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom, % 0.80/1.05 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__vector,axiom, % 0.80/1.05 class_RealVector_Oreal__vector(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom, % 0.80/1.05 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,axiom, % 0.80/1.05 class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__field,axiom, % 0.80/1.05 class_RealVector_Oreal__field(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom, % 0.80/1.05 class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom, % 0.80/1.05 class_Ring__and__Field_Oring(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom, % 0.80/1.05 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odvd,axiom, % 0.80/1.05 class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom, % 0.80/1.05 class_Orderings_Opreorder(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom, % 0.80/1.05 class_Orderings_Olinorder(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom, % 0.80/1.05 class_Orderings_Oorder(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom, % 0.80/1.05 class_Int_Onumber__ring(tc_RealDef_Oreal) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.80/1.05 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.80/1.05 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.80/1.05 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom, % 0.80/1.05 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom, % 0.80/1.05 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.80/1.05 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.80/1.05 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom, % 0.80/1.05 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom, % 0.80/1.05 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom, % 0.80/1.05 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom, % 0.80/1.05 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom, % 0.80/1.05 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom, % 0.80/1.05 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom, % 0.80/1.05 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1,axiom, % 0.80/1.05 class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom, % 0.80/1.05 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom, % 0.80/1.05 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring,axiom, % 0.80/1.05 class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom, % 0.80/1.05 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra,axiom, % 0.80/1.05 class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom, % 0.80/1.05 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__vector,axiom, % 0.80/1.05 class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom, % 0.80/1.05 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__field,axiom, % 0.80/1.05 class_RealVector_Oreal__field(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom, % 0.80/1.05 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom, % 0.80/1.05 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom, % 0.80/1.05 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odvd,axiom, % 0.80/1.05 class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom, % 0.80/1.05 class_Int_Onumber__ring(tc_Complex_Ocomplex) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.80/1.05 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.80/1.05 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.80/1.05 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.80/1.05 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.80/1.05 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.80/1.05 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add__abs,axiom, % 0.80/1.05 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.80/1.05 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.80/1.05 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.80/1.05 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict,axiom, % 0.80/1.05 ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add,axiom, % 0.80/1.05 ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oordered__ab__group__add,axiom, % 0.80/1.05 ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.80/1.05 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__semiring,axiom, % 0.80/1.05 ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring__abs,axiom, % 0.80/1.05 ( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring,axiom, % 0.80/1.05 ( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ono__zero__divisors,axiom, % 0.80/1.05 ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semidom,axiom, % 0.80/1.05 ( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.80/1.05 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.80/1.05 ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult,axiom, % 0.80/1.05 ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__add,axiom, % 0.80/1.05 ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring,axiom, % 0.80/1.05 ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring,axiom, % 0.80/1.05 ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__add,axiom, % 0.80/1.05 ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__idom,axiom, % 0.80/1.05 ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1,axiom, % 0.80/1.05 ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono1,axiom, % 0.80/1.05 ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add,axiom, % 0.80/1.05 ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero,axiom, % 0.80/1.05 ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono,axiom, % 0.80/1.05 ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring,axiom, % 0.80/1.05 ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring,axiom, % 0.80/1.05 ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add,axiom, % 0.80/1.05 ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add,axiom, % 0.80/1.05 ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oabs__if,axiom, % 0.80/1.05 ( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Divides_Osemiring__div,axiom, % 0.80/1.05 ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Ofield(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring,axiom, % 0.80/1.05 ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oidom,axiom, % 0.80/1.05 ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Odvd,axiom, % 0.80/1.05 ( class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Orderings_Opreorder,axiom, % 0.80/1.05 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Orderings_Olinorder,axiom, % 0.80/1.05 ( class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Divides_Oring__div,axiom, % 0.80/1.05 ( class_Divides_Oring__div(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Ofield(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Orderings_Oorder,axiom, % 0.80/1.05 ( class_Orderings_Oorder(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.80/1.05 % 0.80/1.05 cnf(clsarity_Polynomial__Opoly__Int_Onumber__ring,axiom, % 0.80/1.05 ( class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1)) % 0.80/1.05 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ). % 0.80/1.05 % 0.80/1.05 %------------------------------------------------------------------------------ % 0.80/1.05 %------------------------------------------- % 0.80/1.05 % Proof found % 0.80/1.05 % SZS status Theorem for theBenchmark % 0.80/1.05 % SZS output start Proof % 0.80/1.05 %ClaNum:988(EqnAxiom:115) % 0.80/1.05 %VarNum:6761(SingletonVarNum:2056) % 0.80/1.05 %MaxLitNum:6 % 0.80/1.05 %MaxfuncDepth:4 % 0.80/1.05 %SharedTerms:139 % 0.80/1.05 %goalClause: 245 % 0.80/1.05 %singleGoalClaCount:1 % 0.80/1.05 [116]P1(a1) % 0.80/1.05 [117]P1(a20) % 0.80/1.05 [118]P48(a1) % 0.80/1.05 [119]P2(a2) % 0.80/1.05 [120]P2(a1) % 0.80/1.05 [121]P3(a2) % 0.80/1.05 [122]P3(a1) % 0.80/1.05 [123]P49(a1) % 0.80/1.05 [124]P50(a1) % 0.80/1.05 [125]P9(a2) % 0.80/1.05 [126]P9(a1) % 0.80/1.05 [127]P56(a1) % 0.80/1.05 [128]P56(a20) % 0.80/1.05 [129]P4(a20) % 0.80/1.05 [130]P45(a2) % 0.80/1.05 [131]P45(a1) % 0.80/1.05 [132]P45(a20) % 0.80/1.05 [133]P10(a2) % 0.80/1.05 [134]P10(a1) % 0.80/1.05 [135]P11(a1) % 0.80/1.05 [136]P11(a20) % 0.80/1.05 [137]P32(a1) % 0.80/1.05 [138]P32(a20) % 0.80/1.05 [139]P59(a1) % 0.80/1.05 [140]P59(a20) % 0.80/1.05 [141]P12(a1) % 0.80/1.05 [142]P13(a2) % 0.80/1.05 [143]P13(a1) % 0.80/1.05 [144]P13(a20) % 0.80/1.05 [145]P41(a2) % 0.80/1.05 [146]P41(a1) % 0.80/1.05 [147]P41(a20) % 0.80/1.05 [148]P33(a2) % 0.80/1.05 [149]P33(a1) % 0.80/1.05 [150]P42(a2) % 0.80/1.05 [151]P42(a1) % 0.80/1.05 [152]P42(a20) % 0.80/1.05 [153]P18(a1) % 0.80/1.05 [154]P46(a2) % 0.80/1.05 [155]P46(a1) % 0.80/1.05 [156]P51(a1) % 0.80/1.05 [157]P51(a20) % 0.80/1.05 [158]P57(a1) % 0.80/1.05 [159]P57(a20) % 0.80/1.05 [160]P19(a2) % 0.80/1.05 [161]P19(a1) % 0.80/1.05 [162]P55(a1) % 0.80/1.05 [163]P24(a1) % 0.80/1.05 [164]P60(a2) % 0.80/1.05 [165]P60(a1) % 0.80/1.05 [166]P61(a1) % 0.80/1.05 [167]P28(a1) % 0.80/1.05 [168]P28(a20) % 0.80/1.05 [169]P29(a1) % 0.80/1.05 [170]P29(a20) % 0.80/1.05 [171]P25(a1) % 0.80/1.05 [172]P30(a1) % 0.80/1.05 [173]P30(a20) % 0.80/1.05 [174]P63(a2) % 0.80/1.05 [175]P63(a1) % 0.80/1.05 [176]P52(a2) % 0.80/1.05 [177]P52(a1) % 0.80/1.05 [178]P52(a20) % 0.80/1.05 [179]P37(a1) % 0.80/1.05 [180]P58(a1) % 0.80/1.05 [181]P58(a20) % 0.80/1.05 [182]P26(a1) % 0.80/1.05 [183]P62(a1) % 0.80/1.05 [184]P62(a20) % 0.80/1.05 [185]P14(a2) % 0.80/1.05 [186]P14(a1) % 0.80/1.05 [187]P43(a2) % 0.80/1.05 [188]P43(a1) % 0.80/1.05 [189]P20(a2) % 0.80/1.05 [190]P20(a1) % 0.80/1.05 [191]P20(a20) % 0.80/1.05 [192]P21(a2) % 0.80/1.05 [193]P21(a1) % 0.80/1.05 [194]P21(a20) % 0.80/1.05 [195]P34(a2) % 0.80/1.05 [196]P34(a1) % 0.80/1.05 [197]P23(a2) % 0.80/1.05 [198]P23(a1) % 0.80/1.05 [199]P23(a20) % 0.80/1.05 [200]P38(a2) % 0.80/1.05 [201]P38(a1) % 0.80/1.05 [202]P39(a2) % 0.80/1.05 [203]P39(a1) % 0.80/1.05 [204]P47(a1) % 0.80/1.05 [205]P35(a1) % 0.80/1.05 [206]P35(a20) % 0.80/1.05 [207]P16(a2) % 0.80/1.05 [208]P16(a1) % 0.80/1.05 [209]P16(a20) % 0.80/1.05 [210]P40(a2) % 0.80/1.05 [211]P40(a1) % 0.80/1.05 [212]P36(a2) % 0.80/1.05 [213]P36(a1) % 0.80/1.05 [214]P53(a2) % 0.80/1.05 [215]P53(a1) % 0.80/1.05 [216]P53(a20) % 0.80/1.05 [217]P64(a2) % 0.80/1.05 [218]P64(a1) % 0.80/1.05 [219]P64(a20) % 0.80/1.05 [220]P54(a1) % 0.80/1.05 [221]P54(a20) % 0.80/1.05 [222]P27(a2) % 0.80/1.05 [223]P27(a1) % 0.80/1.05 [224]P27(a20) % 0.80/1.05 [225]P31(a1) % 0.80/1.05 [226]P31(a20) % 0.80/1.05 [227]P44(a2) % 0.80/1.05 [228]P44(a1) % 0.80/1.05 [229]P44(a20) % 0.80/1.05 [230]P22(a2) % 0.80/1.05 [231]P22(a1) % 0.80/1.05 [232]P22(a20) % 0.80/1.05 [235]E(f5(a21,a2),f5(a22,a2)) % 0.80/1.05 [244]~E(f14(a22,a23,a2),f3(a2)) % 0.80/1.05 [233]E(f4(f3(a2)),f3(a2)) % 0.80/1.05 [245]~E(f14(a21,f8(a24,a23,a2),a2),f14(a22,a24,a2)) % 0.80/1.05 [237]P5(x2371,x2371,a1) % 0.80/1.05 [234]E(f4(f4(x2341)),x2341) % 0.80/1.05 [236]E(f13(f4(x2361),a2),f13(x2361,a2)) % 0.80/1.05 [240]E(f14(a22,f7(a23,x2401,a2),a2),f14(a21,x2401,a2)) % 0.80/1.05 [242]E(f14(a21,f8(x2421,a23,a2),a2),f14(a22,x2421,a2)) % 0.80/1.05 [243]P5(f13(f14(a22,a23,a2),a2),f13(f14(a22,x2431,a2),a2),a1) % 0.80/1.05 [238]E(f7(f4(x2381),f4(x2382),a2),f4(f7(x2381,x2382,a2))) % 0.80/1.05 [239]E(f8(f4(x2391),f4(x2392),a2),f4(f8(x2391,x2392,a2))) % 0.80/1.05 [246]~E(f4(x2461),f3(a2))+E(x2461,f3(a2)) % 0.80/1.05 [248]~P55(x2481)+P1(f19(x2481)) % 0.80/1.05 [249]~P55(x2491)+P48(f19(x2491)) % 0.80/1.05 [250]~P2(x2501)+P2(f19(x2501)) % 0.80/1.05 [251]~P43(x2511)+P3(f19(x2511)) % 0.80/1.05 [252]~P55(x2521)+P49(f19(x2521)) % 0.80/1.05 [253]~P55(x2531)+P56(f19(x2531)) % 0.80/1.05 [254]~P46(x2541)+P4(f19(x2541)) % 0.80/1.05 [255]~P41(x2551)+P45(f19(x2551)) % 0.80/1.05 [256]~P10(x2561)+P10(f19(x2561)) % 0.80/1.05 [257]~P55(x2571)+P11(f19(x2571)) % 0.80/1.05 [258]~P55(x2581)+P32(f19(x2581)) % 0.80/1.05 [259]~P55(x2591)+P59(f19(x2591)) % 0.80/1.05 [260]~P55(x2601)+P12(f19(x2601)) % 0.80/1.05 [261]~P44(x2611)+P13(f19(x2611)) % 0.80/1.05 [262]~P41(x2621)+P41(f19(x2621)) % 0.80/1.05 [263]~P44(x2631)+P42(f19(x2631)) % 0.80/1.05 [264]~P55(x2641)+P51(f19(x2641)) % 0.80/1.05 [265]~P55(x2651)+P57(f19(x2651)) % 0.80/1.05 [266]~P14(x2661)+P19(f19(x2661)) % 0.80/1.05 [267]~P55(x2671)+P55(f19(x2671)) % 0.80/1.05 [268]~P55(x2681)+P24(f19(x2681)) % 0.80/1.05 [269]~P10(x2691)+P60(f19(x2691)) % 0.80/1.05 [270]~P55(x2701)+P61(f19(x2701)) % 0.80/1.05 [271]~P55(x2711)+P28(f19(x2711)) % 0.80/1.05 [272]~P55(x2721)+P29(f19(x2721)) % 0.80/1.05 [273]~P55(x2731)+P30(f19(x2731)) % 0.80/1.05 [274]~P2(x2741)+P63(f19(x2741)) % 0.80/1.05 [275]~P2(x2751)+P52(f19(x2751)) % 0.80/1.05 [276]~P55(x2761)+P37(f19(x2761)) % 0.80/1.05 [277]~P55(x2771)+P58(f19(x2771)) % 0.80/1.05 [278]~P55(x2781)+P26(f19(x2781)) % 0.80/1.05 [279]~P55(x2791)+P62(f19(x2791)) % 0.80/1.05 [280]~P46(x2801)+P8(f19(x2801)) % 0.80/1.05 [281]~P14(x2811)+P14(f19(x2811)) % 0.80/1.05 [282]~P43(x2821)+P43(f19(x2821)) % 0.80/1.05 [283]~P22(x2831)+P20(f19(x2831)) % 0.80/1.05 [284]~P22(x2841)+P21(f19(x2841)) % 0.80/1.05 [285]~P23(x2851)+P23(f19(x2851)) % 0.80/1.05 [286]~P55(x2861)+P35(f19(x2861)) % 0.80/1.05 [287]~P23(x2871)+P16(f19(x2871)) % 0.80/1.05 [288]~P44(x2881)+P53(f19(x2881)) % 0.80/1.05 [289]~P44(x2891)+P64(f19(x2891)) % 0.80/1.05 [290]~P55(x2901)+P54(f19(x2901)) % 0.80/1.05 [291]~P23(x2911)+P27(f19(x2911)) % 0.80/1.05 [292]~P55(x2921)+P31(f19(x2921)) % 0.80/1.05 [293]~P44(x2931)+P44(f19(x2931)) % 0.80/1.05 [294]~P22(x2941)+P22(f19(x2941)) % 0.80/1.05 [296]~P12(x2961)+E(f9(f3(x2961),x2961),f3(x2961)) % 0.80/1.05 [297]~P19(x2971)+E(f11(f3(x2971),x2971),f3(x2971)) % 0.80/1.05 [298]~P26(x2981)+E(f11(f3(x2981),x2981),f3(x2981)) % 0.80/1.05 [351]~P18(x3511)+E(f7(f3(x3511),f3(x3511),x3511),f3(x3511)) % 0.80/1.05 [372]~P12(x3721)+P5(f9(f3(x3721),x3721),f3(x3721),x3721) % 0.80/1.05 [435]~P12(x4351)+~P7(f3(x4351),f9(f3(x4351),x4351),x4351) % 0.80/1.05 [628]~P49(x6281)+E(f7(f12(f3(x6281),f3(x6281),x6281),f12(f3(x6281),f3(x6281),x6281),x6281),f3(x6281)) % 0.80/1.05 [943]~P49(x9431)+P5(f7(f12(f3(x9431),f3(x9431),x9431),f12(f3(x9431),f3(x9431),x9431),x9431),f3(x9431),x9431) % 0.80/1.05 [975]~P49(x9751)+~P7(f3(x9751),f7(f12(f3(x9751),f3(x9751),x9751),f12(f3(x9751),f3(x9751),x9751),x9751),x9751) % 0.80/1.05 [313]~P32(x3132)+P5(x3131,x3131,x3132) % 0.80/1.05 [314]~P35(x3142)+P5(x3141,x3141,x3142) % 0.80/1.05 [315]~P41(x3152)+P6(x3151,x3151,x3152) % 0.80/1.05 [364]~P7(x3642,x3642,x3641)+~P11(x3641) % 0.80/1.05 [365]~P7(x3652,x3652,x3651)+~P32(x3651) % 0.80/1.05 [366]~P7(x3662,x3662,x3661)+~P35(x3661) % 0.80/1.05 [374]P5(x3742,x3741,a1)+P5(x3741,x3742,a1) % 0.80/1.05 [247]E(x2471,x2472)+~E(f4(x2471),f4(x2472)) % 0.80/1.05 [316]~P17(x3162)+E(f12(x3161,x3161,x3162),x3161) % 0.80/1.05 [317]~P11(x3172)+E(f15(x3171,x3171,x3172),x3171) % 0.80/1.05 [318]~P11(x3182)+E(f16(x3181,x3181,x3182),x3181) % 0.80/1.05 [319]~P4(x3192)+E(f6(x3191,x3191,x3192),f3(x3192)) % 0.80/1.05 [321]~P19(x3212)+E(f8(x3211,x3211,x3212),f3(x3212)) % 0.80/1.05 [322]~P14(x3222)+E(f8(x3221,x3221,x3222),f3(x3222)) % 0.80/1.05 [323]~P41(x3232)+P6(x3231,f3(x3232),x3232) % 0.80/1.05 [358]~P12(x3582)+P5(x3581,f9(x3581,x3582),x3582) % 0.80/1.05 [367]~P12(x3671)+P5(f3(x3671),f9(x3672,x3671),x3671) % 0.80/1.05 [381]~P12(x3812)+P5(f11(x3811,x3812),f9(x3811,x3812),x3812) % 0.80/1.05 [414]~P12(x4141)+~P7(f9(x4142,x4141),f3(x4141),x4141) % 0.80/1.05 [459]~P49(x4591)+P5(f3(x4591),f12(x4592,x4592,x4591),x4591) % 0.80/1.05 [593]~P49(x5931)+~P7(f12(x5932,x5932,x5931),f3(x5931),x5931) % 0.80/1.05 [306]~P19(x3062)+E(f11(f11(x3061,x3062),x3062),x3061) % 0.80/1.05 [307]~P15(x3072)+E(f11(f11(x3071,x3072),x3072),x3071) % 0.80/1.05 [310]~P12(x3102)+E(f9(f9(x3101,x3102),x3102),f9(x3101,x3102)) % 0.80/1.05 [311]~P12(x3112)+E(f9(f11(x3111,x3112),x3112),f9(x3111,x3112)) % 0.80/1.05 [312]~P39(x3122)+E(f13(f11(x3121,x3122),x3122),f13(x3121,x3122)) % 0.80/1.05 [324]~P41(x3242)+E(f7(x3241,f3(x3242),x3242),x3241) % 0.80/1.05 [325]~P23(x3252)+E(f7(x3251,f3(x3252),x3252),x3251) % 0.80/1.05 [326]~P27(x3262)+E(f7(x3261,f3(x3262),x3262),x3261) % 0.80/1.05 [327]~P4(x3272)+E(f6(x3271,f3(x3272),x3272),x3271) % 0.80/1.05 [328]~P19(x3282)+E(f8(x3281,f3(x3282),x3282),x3281) % 0.80/1.05 [330]~P41(x3301)+E(f7(f3(x3301),x3302,x3301),x3302) % 0.80/1.05 [331]~P23(x3311)+E(f7(f3(x3311),x3312,x3311),x3312) % 0.80/1.05 [332]~P27(x3321)+E(f7(f3(x3321),x3322,x3321),x3322) % 0.80/1.05 [333]~P41(x3332)+E(f12(x3331,f3(x3332),x3332),f3(x3332)) % 0.80/1.05 [335]~P33(x3352)+E(f12(x3351,f3(x3352),x3352),f3(x3352)) % 0.80/1.05 [336]~P63(x3362)+E(f12(x3361,f3(x3362),x3362),f3(x3362)) % 0.80/1.05 [337]~P53(x3372)+E(f12(x3371,f3(x3372),x3372),f3(x3372)) % 0.80/1.05 [338]~P38(x3382)+E(f18(x3381,f3(x3382),x3382),f3(x3382)) % 0.80/1.05 [339]~P39(x3392)+E(f18(x3391,f3(x3392),x3392),f3(x3392)) % 0.80/1.05 [341]~P41(x3411)+E(f12(f3(x3411),x3412,x3411),f3(x3411)) % 0.80/1.05 [343]~P33(x3431)+E(f12(f3(x3431),x3432,x3431),f3(x3431)) % 0.80/1.05 [344]~P63(x3441)+E(f12(f3(x3441),x3442,x3441),f3(x3441)) % 0.80/1.05 [345]~P53(x3451)+E(f12(f3(x3451),x3452,x3451),f3(x3451)) % 0.80/1.05 [346]~P46(x3461)+E(f10(f3(x3461),x3462,x3461),f3(x3461)) % 0.80/1.05 [347]~P40(x3471)+E(f10(f3(x3471),x3472,x3471),f3(x3471)) % 0.80/1.05 [348]~P4(x3481)+E(f6(f3(x3481),x3482,x3481),f3(x3481)) % 0.80/1.05 [355]~P19(x3551)+E(f8(f3(x3551),x3552,x3551),f11(x3552,x3551)) % 0.80/1.05 [360]~P19(x3602)+E(f7(x3601,f11(x3601,x3602),x3602),f3(x3602)) % 0.80/1.05 [362]~P19(x3622)+E(f7(f11(x3621,x3622),x3621,x3622),f3(x3622)) % 0.80/1.05 [363]~P14(x3632)+E(f7(f11(x3631,x3632),x3631,x3632),f3(x3632)) % 0.80/1.05 [415]~P12(x4152)+P5(f11(f9(x4151,x4152),x4152),f3(x4152),x4152) % 0.80/1.05 [437]~P55(x4372)+E(f12(f9(x4371,x4372),f9(x4371,x4372),x4372),f12(x4371,x4371,x4372)) % 0.80/1.05 [439]~P2(x4392)+E(f12(f11(x4391,x4392),f11(x4391,x4392),x4392),f12(x4391,x4391,x4392)) % 0.80/1.05 [385]~P41(x3853)+E(f12(x3851,x3852,x3853),f12(x3852,x3851,x3853)) % 0.80/1.05 [387]~P41(x3873)+E(f7(x3871,x3872,x3873),f7(x3872,x3871,x3873)) % 0.80/1.05 [388]~P23(x3883)+E(f7(x3881,x3882,x3883),f7(x3882,x3881,x3883)) % 0.80/1.05 [389]~P11(x3893)+E(f15(x3891,x3892,x3893),f15(x3892,x3891,x3893)) % 0.80/1.05 [390]~P11(x3903)+E(f16(x3901,x3902,x3903),f16(x3902,x3901,x3903)) % 0.80/1.05 [440]~P11(x4403)+P5(x4401,f16(x4402,x4401,x4403),x4403) % 0.80/1.05 [441]~P11(x4413)+P5(x4411,f16(x4411,x4412,x4413),x4413) % 0.80/1.05 [442]~P41(x4423)+P6(x4421,f12(x4422,x4421,x4423),x4423) % 0.80/1.05 [443]~P45(x4433)+P6(x4431,f12(x4431,x4432,x4433),x4433) % 0.80/1.05 [444]~P41(x4443)+P6(x4441,f12(x4441,x4442,x4443),x4443) % 0.80/1.05 [445]~P11(x4453)+P5(f15(x4451,x4452,x4453),x4452,x4453) % 0.80/1.05 [446]~P11(x4463)+P5(f15(x4461,x4462,x4463),x4461,x4463) % 0.80/1.05 [403]~P38(x4032)+E(f18(x4031,f3(x4032),x4032),f18(x4033,f3(x4032),x4032)) % 0.80/1.05 [409]~P3(x4093)+E(f7(x4091,f11(x4092,x4093),x4093),f8(x4091,x4092,x4093)) % 0.80/1.05 [410]~P19(x4103)+E(f7(x4101,f11(x4102,x4103),x4103),f8(x4101,x4102,x4103)) % 0.80/1.05 [412]~P14(x4123)+E(f7(x4121,f11(x4122,x4123),x4123),f8(x4121,x4122,x4123)) % 0.80/1.05 [413]~P19(x4133)+E(f8(x4131,f11(x4132,x4133),x4133),f7(x4131,x4132,x4133)) % 0.80/1.05 [436]~P60(x4362)+E(f12(f11(x4361,x4362),x4363,x4362),f12(x4361,f11(x4363,x4362),x4362)) % 0.80/1.05 [438]~P60(x4382)+E(f12(f11(x4381,x4382),f11(x4383,x4382),x4382),f12(x4381,x4383,x4382)) % 0.80/1.05 [447]~P11(x4473)+E(f15(x4471,f16(x4471,x4472,x4473),x4473),x4471) % 0.80/1.05 [448]~P11(x4483)+E(f16(x4481,f15(x4481,x4482,x4483),x4483),x4481) % 0.80/1.05 [449]~P19(x4493)+E(f7(f8(x4491,x4492,x4493),x4492,x4493),x4491) % 0.80/1.05 [450]~P19(x4503)+E(f8(f7(x4501,x4502,x4503),x4502,x4503),x4501) % 0.80/1.05 [452]~P4(x4523)+E(f6(f12(x4521,x4522,x4523),x4522,x4523),f3(x4523)) % 0.80/1.05 [453]~P4(x4533)+E(f6(f12(x4531,x4532,x4533),x4531,x4533),f3(x4533)) % 0.80/1.05 [483]~P14(x4833)+E(f11(f8(x4831,x4832,x4833),x4833),f8(x4832,x4831,x4833)) % 0.80/1.05 [509]~P14(x5092)+E(f7(f11(x5091,x5092),f7(x5093,x5091,x5092),x5092),x5093) % 0.80/1.05 [510]~P19(x5102)+E(f7(f11(x5101,x5102),f7(x5101,x5103,x5102),x5102),x5103) % 0.80/1.05 [519]~P60(x5193)+E(f12(x5191,f11(x5192,x5193),x5193),f11(f12(x5191,x5192,x5193),x5193)) % 0.80/1.05 [520]~P60(x5202)+E(f12(f11(x5201,x5202),x5203,x5202),f11(f12(x5201,x5203,x5202),x5202)) % 0.80/1.05 [521]~P46(x5212)+E(f10(f11(x5211,x5212),x5213,x5212),f11(f10(x5211,x5213,x5212),x5212)) % 0.80/1.05 [523]~P33(x5233)+E(f12(x5231,f11(x5232,x5233),x5233),f11(f12(x5231,x5232,x5233),x5233)) % 0.80/1.05 [524]~P38(x5243)+E(f18(x5241,f11(x5242,x5243),x5243),f11(f18(x5241,x5242,x5243),x5243)) % 0.80/1.05 [525]~P39(x5253)+E(f18(x5251,f11(x5252,x5253),x5253),f11(f18(x5251,x5252,x5253),x5253)) % 0.80/1.05 [527]~P33(x5272)+E(f12(f11(x5271,x5272),x5273,x5272),f11(f12(x5271,x5273,x5272),x5272)) % 0.80/1.05 [528]~P40(x5282)+E(f10(f11(x5281,x5282),x5283,x5282),f11(f10(x5281,x5283,x5282),x5282)) % 0.80/1.05 [543]~P17(x5433)+E(f12(x5431,f12(x5431,x5432,x5433),x5433),f12(x5431,x5432,x5433)) % 0.80/1.05 [544]~P11(x5443)+E(f15(x5441,f15(x5441,x5442,x5443),x5443),f15(x5441,x5442,x5443)) % 0.80/1.05 [545]~P11(x5453)+E(f16(x5451,f16(x5451,x5452,x5453),x5453),f16(x5451,x5452,x5453)) % 0.80/1.05 [546]~P4(x5463)+E(f6(f7(x5461,x5462,x5463),x5462,x5463),f6(x5461,x5462,x5463)) % 0.80/1.05 [547]~P4(x5473)+E(f6(f7(x5471,x5472,x5473),x5471,x5473),f6(x5472,x5471,x5473)) % 0.80/1.05 [548]~P4(x5483)+E(f6(f6(x5481,x5482,x5483),x5482,x5483),f6(x5481,x5482,x5483)) % 0.80/1.05 [551]~P55(x5512)+E(f12(f9(x5511,x5512),f9(x5513,x5512),x5512),f9(f12(x5511,x5513,x5512),x5512)) % 0.80/1.05 [552]~P19(x5522)+E(f7(f11(x5521,x5522),f11(x5523,x5522),x5522),f11(f7(x5523,x5521,x5522),x5522)) % 0.80/1.05 [553]~P14(x5532)+E(f7(f11(x5531,x5532),f11(x5533,x5532),x5532),f11(f7(x5531,x5533,x5532),x5532)) % 0.80/1.05 [554]~P14(x5542)+E(f8(f11(x5541,x5542),f11(x5543,x5542),x5542),f11(f8(x5541,x5543,x5542),x5542)) % 0.80/1.05 [566]~P12(x5663)+E(f9(f8(x5661,x5662,x5663),x5663),f9(f8(x5662,x5661,x5663),x5663)) % 0.80/1.05 [567]~P39(x5673)+E(f13(f8(x5671,x5672,x5673),x5673),f13(f8(x5672,x5671,x5673),x5673)) % 0.80/1.05 [599]~P2(x5992)+P6(f12(x5991,f3(x5992),x5992),f12(x5993,f3(x5992),x5992),x5992) % 0.80/1.05 [600]~P2(x6001)+P6(f12(f3(x6001),x6002,x6001),f12(f3(x6001),x6003,x6001),x6001) % 0.80/1.05 [855]~P47(x8553)+P5(f9(f12(x8551,x8552,x8553),x8553),f12(f9(x8551,x8553),f9(x8552,x8553),x8553),x8553) % 0.80/1.05 [856]~P12(x8563)+P5(f9(f7(x8561,x8562,x8563),x8563),f7(f9(x8561,x8563),f9(x8562,x8563),x8563),x8563) % 0.80/1.05 [857]~P12(x8573)+P5(f9(f8(x8571,x8572,x8573),x8573),f7(f9(x8571,x8573),f9(x8572,x8573),x8573),x8573) % 0.80/1.05 [858]~P12(x8582)+P5(f8(f9(x8581,x8582),f9(x8583,x8582),x8582),f9(f8(x8581,x8583,x8582),x8582),x8582) % 0.80/1.05 [923]~P49(x9231)+P5(f3(x9231),f7(f12(x9232,x9232,x9231),f12(x9233,x9233,x9231),x9231),x9231) % 0.80/1.05 [968]~P49(x9681)+~P7(f7(f12(x9682,x9682,x9681),f12(x9683,x9683,x9681),x9681),f3(x9681),x9681) % 0.80/1.05 [542]~P19(x5422)+E(f7(x5421,f7(f11(x5421,x5422),x5423,x5422),x5422),x5423) % 0.80/1.05 [665]~P12(x6652)+E(f9(f7(f9(x6651,x6652),f9(x6653,x6652),x6652),x6652),f7(f9(x6651,x6652),f9(x6653,x6652),x6652)) % 0.80/1.05 [743]~P8(x7433)+E(f6(f11(f6(x7431,x7432,x7433),x7433),x7432,x7433),f6(f11(x7431,x7433),x7432,x7433)) % 0.80/1.05 [948]~P12(x9482)+P5(f9(f8(f9(x9481,x9482),f9(x9483,x9482),x9482),x9482),f9(f8(x9481,x9483,x9482),x9482),x9482) % 0.80/1.05 [629]~P41(x6294)+E(f12(x6291,f12(x6292,x6293,x6294),x6294),f12(x6292,f12(x6291,x6293,x6294),x6294)) % 0.80/1.05 [630]~P41(x6304)+E(f7(x6301,f7(x6302,x6303,x6304),x6304),f7(x6302,f7(x6301,x6303,x6304),x6304)) % 0.80/1.05 [631]~P14(x6314)+E(f7(x6311,f7(x6312,x6313,x6314),x6314),f7(x6312,f7(x6311,x6313,x6314),x6314)) % 0.80/1.05 [632]~P23(x6324)+E(f7(x6321,f7(x6322,x6323,x6324),x6324),f7(x6322,f7(x6321,x6323,x6324),x6324)) % 0.80/1.05 [633]~P11(x6334)+E(f15(x6331,f15(x6332,x6333,x6334),x6334),f15(x6332,f15(x6331,x6333,x6334),x6334)) % 0.80/1.05 [634]~P11(x6344)+E(f16(x6341,f16(x6342,x6343,x6344),x6344),f16(x6342,f16(x6341,x6343,x6344),x6344)) % 0.80/1.05 [636]~P33(x6364)+E(f18(x6361,f12(x6362,x6363,x6364),x6364),f12(x6362,f18(x6361,x6363,x6364),x6364)) % 0.80/1.05 [637]~P34(x6374)+E(f18(x6371,f12(x6372,x6373,x6374),x6374),f12(x6372,f18(x6371,x6373,x6374),x6374)) % 0.80/1.05 [638]~P38(x6384)+E(f18(x6381,f18(x6382,x6383,x6384),x6384),f18(x6382,f18(x6381,x6383,x6384),x6384)) % 0.80/1.05 [640]~P39(x6404)+E(f18(x6401,f18(x6402,x6403,x6404),x6404),f18(x6402,f18(x6401,x6403,x6404),x6404)) % 0.80/1.05 [645]~P13(x6453)+E(f12(f12(x6451,x6452,x6453),x6454,x6453),f12(x6451,f12(x6452,x6454,x6453),x6453)) % 0.80/1.05 [646]~P41(x6463)+E(f12(f12(x6461,x6462,x6463),x6464,x6463),f12(x6461,f12(x6462,x6464,x6463),x6463)) % 0.80/1.05 [648]~P33(x6484)+E(f18(x6481,f12(x6482,x6483,x6484),x6484),f12(f18(x6481,x6482,x6484),x6483,x6484)) % 0.80/1.05 [649]~P34(x6494)+E(f18(x6491,f12(x6492,x6493,x6494),x6494),f12(f18(x6491,x6492,x6494),x6493,x6494)) % 0.80/1.05 [650]~P41(x6503)+E(f7(f7(x6501,x6502,x6503),x6504,x6503),f7(x6501,f7(x6502,x6504,x6503),x6503)) % 0.80/1.05 [651]~P23(x6513)+E(f7(f7(x6511,x6512,x6513),x6514,x6513),f7(x6511,f7(x6512,x6514,x6513),x6513)) % 0.80/1.05 [652]~P16(x6523)+E(f7(f7(x6521,x6522,x6523),x6524,x6523),f7(x6521,f7(x6522,x6524,x6523),x6523)) % 0.80/1.05 [653]~P40(x6533)+E(f10(f18(x6531,x6532,x6533),x6534,x6533),f18(x6531,f10(x6532,x6534,x6533),x6533)) % 0.80/1.05 [654]~P11(x6543)+E(f15(f15(x6541,x6542,x6543),x6544,x6543),f15(x6541,f15(x6542,x6544,x6543),x6543)) % 0.80/1.05 [655]~P11(x6553)+E(f16(f16(x6551,x6552,x6553),x6554,x6553),f16(x6551,f16(x6552,x6554,x6553),x6553)) % 0.80/1.05 [656]~P44(x6563)+E(f14(f17(x6561,x6562,x6563),x6564,x6563),f14(x6561,f14(x6562,x6564,x6563),x6563)) % 0.80/1.05 [657]~P41(x6573)+E(f12(f12(x6571,x6572,x6573),x6574,x6573),f12(f12(x6571,x6574,x6573),x6572,x6573)) % 0.80/1.05 [658]~P41(x6583)+E(f7(f7(x6581,x6582,x6583),x6584,x6583),f7(f7(x6581,x6584,x6583),x6582,x6583)) % 0.80/1.05 [783]~P41(x7833)+E(f7(f12(x7831,x7832,x7833),f12(x7831,x7834,x7833),x7833),f12(x7831,f7(x7832,x7834,x7833),x7833)) % 0.80/1.05 [785]~P33(x7853)+E(f7(f12(x7851,x7852,x7853),f12(x7851,x7854,x7853),x7853),f12(x7851,f7(x7852,x7854,x7853),x7853)) % 0.80/1.05 [787]~P33(x7873)+E(f8(f12(x7871,x7872,x7873),f12(x7871,x7874,x7873),x7873),f12(x7871,f8(x7872,x7874,x7873),x7873)) % 0.80/1.05 [788]~P11(x7883)+E(f16(f15(x7881,x7882,x7883),f15(x7881,x7884,x7883),x7883),f15(x7881,f16(x7882,x7884,x7883),x7883)) % 0.80/1.05 [789]~P11(x7893)+E(f15(f16(x7891,x7892,x7893),f16(x7891,x7894,x7893),x7893),f16(x7891,f15(x7892,x7894,x7893),x7893)) % 0.80/1.05 [790]~P38(x7903)+E(f7(f18(x7901,x7902,x7903),f18(x7901,x7904,x7903),x7903),f18(x7901,f7(x7902,x7904,x7903),x7903)) % 0.80/1.05 [791]~P39(x7913)+E(f7(f18(x7911,x7912,x7913),f18(x7911,x7914,x7913),x7913),f18(x7911,f7(x7912,x7914,x7913),x7913)) % 0.80/1.05 [792]~P38(x7923)+E(f8(f18(x7921,x7922,x7923),f18(x7921,x7924,x7923),x7923),f18(x7921,f8(x7922,x7924,x7923),x7923)) % 0.80/1.05 [793]~P39(x7933)+E(f8(f18(x7931,x7932,x7933),f18(x7931,x7934,x7933),x7933),f18(x7931,f8(x7932,x7934,x7933),x7933)) % 0.80/1.05 [796]~P33(x7963)+E(f7(f12(x7961,x7962,x7963),f12(x7964,x7962,x7963),x7963),f12(f7(x7961,x7964,x7963),x7962,x7963)) % 0.80/1.05 [797]~P42(x7973)+E(f7(f12(x7971,x7972,x7973),f12(x7974,x7972,x7973),x7973),f12(f7(x7971,x7974,x7973),x7972,x7973)) % 0.80/1.05 [799]~P33(x7993)+E(f8(f12(x7991,x7992,x7993),f12(x7994,x7992,x7993),x7993),f12(f8(x7991,x7994,x7993),x7992,x7993)) % 0.80/1.05 [800]~P28(x8003)+E(f15(f7(x8001,x8002,x8003),f7(x8004,x8002,x8003),x8003),f7(f15(x8001,x8004,x8003),x8002,x8003)) % 0.80/1.05 [801]~P28(x8013)+E(f16(f7(x8011,x8012,x8013),f7(x8014,x8012,x8013),x8013),f7(f16(x8011,x8014,x8013),x8012,x8013)) % 0.80/1.05 [802]~P46(x8023)+E(f7(f10(x8021,x8022,x8023),f10(x8024,x8022,x8023),x8023),f10(f7(x8021,x8024,x8023),x8022,x8023)) % 0.80/1.05 [803]~P40(x8033)+E(f7(f10(x8031,x8032,x8033),f10(x8034,x8032,x8033),x8033),f10(f7(x8031,x8034,x8033),x8032,x8033)) % 0.80/1.05 [804]~P46(x8043)+E(f8(f10(x8041,x8042,x8043),f10(x8044,x8042,x8043),x8043),f10(f8(x8041,x8044,x8043),x8042,x8043)) % 0.80/1.05 [805]~P40(x8053)+E(f8(f10(x8051,x8052,x8053),f10(x8054,x8052,x8053),x8053),f10(f8(x8051,x8054,x8053),x8052,x8053)) % 0.80/1.05 [806]~P24(x8063)+E(f15(f8(x8061,x8062,x8063),f8(x8064,x8062,x8063),x8063),f8(f15(x8061,x8064,x8063),x8062,x8063)) % 0.80/1.05 [807]~P24(x8073)+E(f16(f8(x8071,x8072,x8073),f8(x8074,x8072,x8073),x8073),f8(f16(x8071,x8074,x8073),x8072,x8073)) % 0.80/1.05 [808]~P11(x8083)+E(f16(f15(x8081,x8082,x8083),f15(x8084,x8082,x8083),x8083),f15(f16(x8081,x8084,x8083),x8082,x8083)) % 0.80/1.05 [809]~P11(x8093)+E(f15(f16(x8091,x8092,x8093),f16(x8094,x8092,x8093),x8093),f16(f15(x8091,x8094,x8093),x8092,x8093)) % 0.80/1.05 [810]~P4(x8103)+E(f6(f12(x8101,x8102,x8103),f12(x8101,x8104,x8103),x8103),f12(x8101,f6(x8102,x8104,x8103),x8103)) % 0.80/1.05 [811]~P41(x8113)+E(f7(f12(x8111,x8112,x8113),f12(x8114,x8112,x8113),x8113),f12(f7(x8111,x8114,x8113),x8112,x8113)) % 0.80/1.05 [812]~P4(x8123)+E(f6(f12(x8121,x8122,x8123),f12(x8124,x8122,x8123),x8123),f12(f6(x8121,x8124,x8123),x8122,x8123)) % 0.80/1.05 [966]~P11(x9664)+P5(f16(x9661,f15(x9662,x9663,x9664),x9664),f15(f16(x9661,x9662,x9664),f16(x9661,x9663,x9664),x9664),x9664) % 0.80/1.05 [967]~P11(x9673)+P5(f16(f15(x9671,x9672,x9673),f15(x9671,x9674,x9673),x9673),f15(x9671,f16(x9672,x9674,x9673),x9673),x9673) % 0.80/1.05 [781]~P4(x7814)+E(f6(f7(x7811,f12(x7812,x7813,x7814),x7814),x7813,x7814),f6(x7811,x7813,x7814)) % 0.80/1.05 [782]~P4(x7824)+E(f6(f7(x7821,f12(x7822,x7823,x7824),x7824),x7822,x7824),f6(x7821,x7822,x7824)) % 0.80/1.05 [820]~P10(x8203)+E(f8(f14(x8201,x8202,x8203),f14(x8204,x8202,x8203),x8203),f14(f8(x8201,x8204,f19(x8203)),x8202,x8203)) % 0.80/1.05 [874]~P4(x8744)+E(f6(f12(x8741,f6(x8742,x8743,x8744),x8744),x8743,x8744),f6(f12(x8741,x8742,x8744),x8743,x8744)) % 0.80/1.05 [876]~P8(x8764)+E(f6(f8(x8761,f6(x8762,x8763,x8764),x8764),x8763,x8764),f6(f8(x8761,x8762,x8764),x8763,x8764)) % 0.80/1.05 [879]~P8(x8793)+E(f6(f8(f6(x8791,x8792,x8793),x8794,x8793),x8792,x8793),f6(f8(x8791,x8794,x8793),x8792,x8793)) % 0.80/1.05 [880]~P4(x8804)+E(f6(f7(x8801,f6(x8802,x8803,x8804),x8804),x8803,x8804),f6(f7(x8801,x8802,x8804),x8803,x8804)) % 0.80/1.05 [881]~P4(x8813)+E(f6(f12(f6(x8811,x8812,x8813),x8814,x8813),x8812,x8813),f6(f12(x8811,x8814,x8813),x8812,x8813)) % 0.80/1.05 [882]~P4(x8823)+E(f6(f7(f6(x8821,x8822,x8823),x8824,x8823),x8822,x8823),f6(f7(x8821,x8824,x8823),x8822,x8823)) % 0.80/1.05 [949]~P4(x9493)+E(f6(f12(f6(x9491,x9492,x9493),f6(x9494,x9492,x9493),x9493),x9492,x9493),f6(f12(x9491,x9494,x9493),x9492,x9493)) % 0.80/1.05 [950]~P4(x9503)+E(f6(f7(f6(x9501,x9502,x9503),f6(x9504,x9502,x9503),x9503),x9502,x9503),f6(f7(x9501,x9504,x9503),x9502,x9503)) % 0.80/1.05 [951]~P8(x9513)+E(f6(f8(f6(x9511,x9512,x9513),f6(x9514,x9512,x9513),x9513),x9512,x9513),f6(f8(x9511,x9514,x9513),x9512,x9513)) % 0.80/1.05 [883]~P41(x8833)+E(f12(f12(x8831,x8832,x8833),f12(x8834,x8835,x8833),x8833),f12(f12(x8831,x8834,x8833),f12(x8832,x8835,x8833),x8833)) % 0.80/1.05 [884]~P41(x8843)+E(f7(f7(x8841,x8842,x8843),f7(x8844,x8845,x8843),x8843),f7(f7(x8841,x8844,x8843),f7(x8842,x8845,x8843),x8843)) % 0.80/1.05 [885]~P14(x8853)+E(f8(f7(x8851,x8852,x8853),f7(x8854,x8855,x8853),x8853),f7(f8(x8851,x8854,x8853),f8(x8852,x8855,x8853),x8853)) % 0.80/1.05 [963]~P64(x9633)+E(f7(f12(x9631,x9632,x9633),f7(f12(x9634,x9632,x9633),x9635,x9633),x9633),f7(f12(f7(x9631,x9634,x9633),x9632,x9633),x9635,x9633)) % 0.80/1.05 [987]~P12(x9873)+P5(f9(f8(f7(x9871,x9872,x9873),f7(x9874,x9875,x9873),x9873),x9873),f7(f9(f8(x9871,x9874,x9873),x9873),f9(f8(x9872,x9875,x9873),x9873),x9873),x9873) % 0.80/1.05 [988]~P33(x9883)+E(f7(f7(f12(f8(x9881,x9882,x9883),f8(x9884,x9885,x9883),x9883),f12(f8(x9881,x9882,x9883),x9885,x9883),x9883),f12(x9882,f8(x9884,x9885,x9883),x9883),x9883),f8(f12(x9881,x9884,x9883),f12(x9882,x9885,x9883),x9883)) % 0.80/1.05 [974]~P60(x9743)+E(f7(f12(x9741,x9742,x9743),f7(f12(f8(x9744,x9741,x9743),x9742,x9743),x9745,x9743),x9743),f7(f12(x9744,x9742,x9743),x9745,x9743)) % 0.80/1.05 [986]~P36(x9864)+E(f7(f12(x9861,f10(f8(x9862,x9863,x9864),x9865,x9864),x9864),f12(f10(f8(x9861,x9866,x9864),x9865,x9864),x9863,x9864),x9864),f10(f8(f12(x9861,x9862,x9864),f12(x9866,x9863,x9864),x9864),x9865,x9864)) % 0.80/1.05 [484]~P30(x4841)+~P5(f3(x4841),f3(x4841),x4841)+E(f7(f3(x4841),f3(x4841),x4841),f3(x4841)) % 0.80/1.05 [451]E(x4511,x4512)+~P5(x4512,x4511,a1)+~P5(x4511,x4512,a1) % 0.80/1.05 [299]~P26(x2992)+~E(f11(x2991,x2992),x2991)+E(x2991,f3(x2992)) % 0.80/1.05 [300]~P12(x3002)+~E(f9(x3001,x3002),f3(x3002))+E(x3001,f3(x3002)) % 0.80/1.05 [301]~P19(x3012)+~E(f11(x3011,x3012),f3(x3012))+E(x3011,f3(x3012)) % 0.80/1.05 [302]~P19(x3021)+~E(f11(x3022,x3021),f3(x3021))+E(f3(x3021),x3022) % 0.80/1.05 [349]~P2(x3492)+~P3(x3492)+E(f8(x3491,x3491,x3492),f3(x3492)) % 0.80/1.05 [356]~P37(x3562)+P7(x3561,f3(x3562),x3562)+E(f9(x3561,x3562),x3561) % 0.80/1.05 [368]~P12(x3682)+P7(f3(x3682),f9(x3681,x3682),x3682)+E(x3681,f3(x3682)) % 0.80/1.05 [371]~P18(x3712)+~E(f7(x3711,x3711,x3712),f3(x3712))+E(x3711,f3(x3712)) % 0.80/1.05 [376]~P41(x3762)+~P6(f3(x3762),x3761,x3762)+E(x3761,f3(x3762)) % 0.80/1.05 [396]~P12(x3962)+~P5(f3(x3962),x3961,x3962)+E(f9(x3961,x3962),x3961) % 0.80/1.05 [397]~P12(x3972)+~P7(f3(x3972),x3971,x3972)+E(f9(x3971,x3972),x3971) % 0.80/1.05 [404]~P12(x4042)+~P5(x4041,f3(x4042),x4042)+E(f9(x4041,x4042),f11(x4041,x4042)) % 0.80/1.05 [405]~P12(x4052)+~P7(x4051,f3(x4052),x4052)+E(f9(x4051,x4052),f11(x4051,x4052)) % 0.80/1.05 [406]~P37(x4062)+~P7(x4061,f3(x4062),x4062)+E(f9(x4061,x4062),f11(x4061,x4062)) % 0.80/1.05 [422]~P12(x4222)+~P5(f9(x4221,x4222),f3(x4222),x4222)+E(x4221,f3(x4222)) % 0.80/1.05 [485]~P18(x4852)+~P5(x4851,f3(x4852),x4852)+P5(x4851,f11(x4851,x4852),x4852) % 0.80/1.05 [486]~P26(x4862)+~P5(x4861,f3(x4862),x4862)+P5(x4861,f11(x4861,x4862),x4862) % 0.80/1.05 [487]~P55(x4872)+~P7(x4871,f3(x4872),x4872)+P7(x4871,f11(x4871,x4872),x4872) % 0.80/1.05 [488]~P18(x4882)+~P5(f3(x4882),x4881,x4882)+P5(f11(x4881,x4882),x4881,x4882) % 0.80/1.05 [489]~P26(x4892)+~P5(f3(x4892),x4891,x4892)+P5(f11(x4891,x4892),x4891,x4892) % 0.80/1.05 [498]~P24(x4981)+~P5(x4982,f3(x4981),x4981)+P5(f3(x4981),f11(x4982,x4981),x4981) % 0.80/1.05 [499]~P24(x4991)+~P7(x4992,f3(x4991),x4991)+P7(f3(x4991),f11(x4992,x4991),x4991) % 0.80/1.05 [500]~P24(x5002)+~P5(f3(x5002),x5001,x5002)+P5(f11(x5001,x5002),f3(x5002),x5002) % 0.80/1.05 [501]~P24(x5012)+~P7(f3(x5012),x5011,x5012)+P7(f11(x5011,x5012),f3(x5012),x5012) % 0.80/1.05 [504]~P18(x5042)+~P5(x5041,f11(x5041,x5042),x5042)+P5(x5041,f3(x5042),x5042) % 0.80/1.05 [505]~P26(x5052)+~P5(x5051,f11(x5051,x5052),x5052)+P5(x5051,f3(x5052),x5052) % 0.80/1.05 [506]~P55(x5062)+~P7(x5061,f11(x5061,x5062),x5062)+P7(x5061,f3(x5062),x5062) % 0.80/1.05 [507]~P18(x5071)+~P5(f11(x5072,x5071),x5072,x5071)+P5(f3(x5071),x5072,x5071) % 0.80/1.05 [508]~P26(x5081)+~P5(f11(x5082,x5081),x5082,x5081)+P5(f3(x5081),x5082,x5081) % 0.80/1.05 [515]~P24(x5152)+~P5(f3(x5152),f11(x5151,x5152),x5152)+P5(x5151,f3(x5152),x5152) % 0.80/1.05 [516]~P24(x5162)+~P7(f3(x5162),f11(x5161,x5162),x5162)+P7(x5161,f3(x5162),x5162) % 0.80/1.05 [517]~P24(x5171)+~P5(f11(x5172,x5171),f3(x5171),x5171)+P5(f3(x5171),x5172,x5171) % 0.80/1.05 [518]~P24(x5181)+~P7(f11(x5182,x5181),f3(x5181),x5181)+P7(f3(x5181),x5182,x5181) % 0.80/1.05 [588]~P18(x5881)+~P5(f3(x5881),x5882,x5881)+P5(f3(x5881),f7(x5882,x5882,x5881),x5881) % 0.80/1.05 [589]~P18(x5891)+~P7(f3(x5891),x5892,x5891)+P7(f3(x5891),f7(x5892,x5892,x5891),x5891) % 0.80/1.05 [590]~P18(x5902)+~P5(x5901,f3(x5902),x5902)+P5(f7(x5901,x5901,x5902),f3(x5902),x5902) % 0.80/1.05 [591]~P18(x5912)+~P7(x5911,f3(x5912),x5912)+P7(f7(x5911,x5911,x5912),f3(x5912),x5912) % 0.80/1.05 [592]~P55(x5922)+~P7(x5921,f3(x5922),x5922)+P7(f7(x5921,x5921,x5922),f3(x5922),x5922) % 0.80/1.05 [659]~P18(x6592)+~P5(f7(x6591,x6591,x6592),f3(x6592),x6592)+P5(x6591,f3(x6592),x6592) % 0.80/1.05 [660]~P18(x6602)+~P7(f7(x6601,x6601,x6602),f3(x6602),x6602)+P7(x6601,f3(x6602),x6602) % 0.80/1.05 [661]~P55(x6612)+~P7(f7(x6611,x6611,x6612),f3(x6612),x6612)+P7(x6611,f3(x6612),x6612) % 0.80/1.06 [662]~P18(x6621)+~P5(f3(x6621),f7(x6622,x6622,x6621),x6621)+P5(f3(x6621),x6622,x6621) % 0.80/1.06 [663]~P18(x6631)+~P7(f3(x6631),f7(x6632,x6632,x6631),x6631)+P7(f3(x6631),x6632,x6631) % 0.80/1.06 [350]~P2(x3502)+~P3(x3502)+E(f7(x3501,f3(x3502),x3502),x3501) % 0.80/1.06 [354]~P9(x3542)+~P46(x3542)+E(f10(x3541,f3(x3542),x3542),f3(x3542)) % 0.80/1.06 [503]~P9(x5031)+~P46(x5031)+E(f10(f12(f3(x5031),x5032,x5031),x5032,x5031),f3(x5031)) % 0.80/1.06 [391]P5(x3912,x3911,x3913)+~P11(x3913)+P5(x3911,x3912,x3913) % 0.80/1.06 [394]P7(x3942,x3941,x3943)+~P11(x3943)+P5(x3941,x3942,x3943) % 0.80/1.06 [416]~P32(x4163)+~P7(x4161,x4162,x4163)+P5(x4161,x4162,x4163) % 0.80/1.06 [417]~P35(x4173)+~P7(x4171,x4172,x4173)+P5(x4171,x4172,x4173) % 0.80/1.06 [464]~P7(x4643,x4642,x4641)+~P11(x4641)+~P5(x4642,x4643,x4641) % 0.80/1.06 [466]~P7(x4663,x4662,x4661)+~P11(x4661)+~P7(x4662,x4663,x4661) % 0.80/1.06 [467]~P7(x4673,x4672,x4671)+~P32(x4671)+~P7(x4672,x4673,x4671) % 0.80/1.06 [468]~P7(x4683,x4682,x4681)+~P35(x4681)+~P5(x4682,x4683,x4681) % 0.80/1.06 [470]~P7(x4703,x4702,x4701)+~P35(x4701)+~P7(x4702,x4703,x4701) % 0.80/1.06 [541]~P5(x5411,x5413,a1)+P5(x5411,x5412,a1)+~P5(x5413,x5412,a1) % 0.80/1.06 [308]~P19(x3083)+E(x3081,x3082)+~E(f11(x3081,x3083),f11(x3082,x3083)) % 0.80/1.06 [309]~P15(x3093)+E(x3091,x3092)+~E(f11(x3091,x3093),f11(x3092,x3093)) % 0.80/1.06 [369]~P19(x3693)+E(x3691,x3692)+~E(f8(x3691,x3692,x3693),f3(x3693)) % 0.80/1.06 [370]~P14(x3703)+E(x3701,x3702)+~E(f8(x3701,x3702,x3703),f3(x3703)) % 0.80/1.06 [373]~P55(x3733)+P6(x3731,x3732,x3733)+~E(f9(x3731,x3733),f9(x3732,x3733)) % 0.80/1.06 [382]~P19(x3823)+~E(f7(x3821,x3822,x3823),f3(x3823))+E(x3821,f11(x3822,x3823)) % 0.80/1.06 [383]~P19(x3832)+~E(f7(x3831,x3833,x3832),f3(x3832))+E(f11(x3831,x3832),x3833) % 0.80/1.06 [418]~P11(x4183)+~P5(x4182,x4181,x4183)+E(f15(x4181,x4182,x4183),x4182) % 0.80/1.06 [419]~P11(x4193)+~P5(x4191,x4192,x4193)+E(f15(x4191,x4192,x4193),x4191) % 0.80/1.06 [420]~P11(x4203)+~P5(x4201,x4202,x4203)+E(f16(x4201,x4202,x4203),x4202) % 0.80/1.06 [421]~P11(x4213)+~P5(x4212,x4211,x4213)+E(f16(x4211,x4212,x4213),x4211) % 0.80/1.06 [423]~P11(x4233)+P5(x4231,x4232,x4233)+~E(f15(x4231,x4232,x4233),x4231) % 0.80/1.06 [424]~P11(x4243)+P5(x4241,x4242,x4243)+~E(f16(x4241,x4242,x4243),x4242) % 0.80/1.06 [433]~P4(x4333)+~P6(x4332,x4331,x4333)+E(f6(x4331,x4332,x4333),f3(x4333)) % 0.80/1.06 [434]~P4(x4343)+P6(x4341,x4342,x4343)+~E(f6(x4342,x4341,x4343),f3(x4343)) % 0.80/1.06 [455]~P55(x4553)+~P6(x4551,x4552,x4553)+P6(x4551,f9(x4552,x4553),x4553) % 0.80/1.06 [456]~P43(x4563)+~P6(x4561,x4562,x4563)+P6(x4561,f11(x4562,x4563),x4563) % 0.80/1.06 [457]~P55(x4572)+~P6(x4571,x4573,x4572)+P6(f9(x4571,x4572),x4573,x4572) % 0.80/1.06 [458]~P43(x4582)+~P6(x4581,x4583,x4582)+P6(f11(x4581,x4582),x4583,x4582) % 0.80/1.06 [492]~P55(x4923)+P6(x4921,x4922,x4923)+~P6(x4921,f9(x4922,x4923),x4923) % 0.80/1.06 [493]~P43(x4933)+P6(x4931,x4932,x4933)+~P6(x4931,f11(x4932,x4933),x4933) % 0.80/1.06 [494]~P12(x4943)+P5(x4941,x4942,x4943)+~P5(f9(x4941,x4943),x4942,x4943) % 0.80/1.06 [495]~P55(x4953)+P7(x4951,x4952,x4953)+~P7(f9(x4951,x4953),x4952,x4953) % 0.80/1.06 [496]~P55(x4963)+P6(x4961,x4962,x4963)+~P6(f9(x4961,x4963),x4962,x4963) % 0.80/1.06 [497]~P43(x4973)+P6(x4971,x4972,x4973)+~P6(f11(x4971,x4973),x4972,x4973) % 0.80/1.06 [512]~P24(x5122)+~P5(x5123,x5121,x5122)+P5(f11(x5121,x5122),f11(x5123,x5122),x5122) % 0.80/1.06 [513]~P24(x5132)+~P7(x5133,x5131,x5132)+P7(f11(x5131,x5132),f11(x5133,x5132),x5132) % 0.80/1.06 [531]~P24(x5313)+~P5(x5312,f11(x5311,x5313),x5313)+P5(x5311,f11(x5312,x5313),x5313) % 0.80/1.06 [533]~P24(x5333)+~P7(x5332,f11(x5331,x5333),x5333)+P7(x5331,f11(x5332,x5333),x5333) % 0.80/1.06 [534]~P12(x5342)+~P5(f9(x5341,x5342),x5343,x5342)+P5(f11(x5341,x5342),x5343,x5342) % 0.80/1.06 [536]~P24(x5362)+~P5(f11(x5363,x5362),x5361,x5362)+P5(f11(x5361,x5362),x5363,x5362) % 0.80/1.06 [537]~P55(x5372)+~P7(f9(x5371,x5372),x5373,x5372)+P7(f11(x5371,x5372),x5373,x5372) % 0.80/1.06 [539]~P24(x5392)+~P7(f11(x5393,x5392),x5391,x5392)+P7(f11(x5391,x5392),x5393,x5392) % 0.80/1.06 [549]~P24(x5493)+P5(x5491,x5492,x5493)+~P5(f11(x5492,x5493),f11(x5491,x5493),x5493) % 0.80/1.06 [550]~P24(x5503)+P7(x5501,x5502,x5503)+~P7(f11(x5502,x5503),f11(x5501,x5503),x5503) % 0.80/1.06 [586]~P24(x5863)+~P5(x5861,x5862,x5863)+P5(f8(x5861,x5862,x5863),f3(x5863),x5863) % 0.80/1.06 [587]~P24(x5873)+~P7(x5871,x5872,x5873)+P7(f8(x5871,x5872,x5873),f3(x5873),x5873) % 0.80/1.06 [604]~P18(x6043)+~P5(x6041,f11(x6042,x6043),x6043)+P5(f7(x6041,x6042,x6043),f3(x6043),x6043) % 0.80/1.06 [626]~P24(x6263)+P5(x6261,x6262,x6263)+~P5(f8(x6261,x6262,x6263),f3(x6263),x6263) % 0.80/1.06 [627]~P24(x6273)+P7(x6271,x6272,x6273)+~P7(f8(x6271,x6272,x6273),f3(x6273),x6273) % 0.80/1.06 [682]~P18(x6823)+~P5(f7(x6821,x6822,x6823),f3(x6823),x6823)+P5(x6821,f11(x6822,x6823),x6823) % 0.80/1.06 [454]~P46(x4542)+E(x4541,f3(x4542))+E(f10(f11(x4543,x4542),f11(x4541,x4542),x4542),f10(x4543,x4541,x4542)) % 0.80/1.06 [461]~P46(x4612)+E(x4611,f3(x4612))+E(f10(f12(x4613,x4611,x4612),x4611,x4612),x4613) % 0.80/1.06 [462]~P9(x4622)+~P46(x4622)+E(f10(f11(x4621,x4622),f11(x4623,x4622),x4622),f10(x4621,x4623,x4622)) % 0.80/1.06 [529]~P46(x5292)+E(x5291,f3(x5292))+E(f10(x5293,f11(x5291,x5292),x5292),f11(f10(x5293,x5291,x5292),x5292)) % 0.80/1.06 [540]~P9(x5403)+~P46(x5403)+E(f10(x5401,f11(x5402,x5403),x5403),f11(f10(x5401,x5402,x5403),x5403)) % 0.80/1.06 [564]~P50(x5642)+E(x5641,f3(x5642))+E(f10(f9(x5643,x5642),f9(x5641,x5642),x5642),f9(f10(x5643,x5641,x5642),x5642)) % 0.80/1.06 [565]~P50(x5652)+~P9(x5652)+E(f10(f9(x5651,x5652),f9(x5653,x5652),x5652),f9(f10(x5651,x5653,x5652),x5652)) % 0.80/1.06 [605]~P55(x6052)+~P5(f3(x6052),x6053,x6052)+E(f12(f9(x6051,x6052),x6053,x6052),f9(f12(x6051,x6053,x6052),x6052)) % 0.80/1.06 [813]~P49(x8132)+E(x8131,f3(x8132))+~E(f7(f12(x8133,x8133,x8132),f12(x8131,x8131,x8132),x8132),f3(x8132)) % 0.80/1.06 [814]~P49(x8142)+E(x8141,f3(x8142))+~E(f7(f12(x8141,x8141,x8142),f12(x8143,x8143,x8142),x8142),f3(x8142)) % 0.80/1.06 [924]~P49(x9242)+E(x9241,f3(x9242))+P7(f3(x9242),f7(f12(x9243,x9243,x9242),f12(x9241,x9241,x9242),x9242),x9242) % 0.80/1.06 [925]~P49(x9252)+E(x9251,f3(x9252))+P7(f3(x9252),f7(f12(x9251,x9251,x9252),f12(x9253,x9253,x9252),x9252),x9252) % 0.80/1.06 [969]~P49(x9692)+E(x9691,f3(x9692))+~P5(f7(f12(x9693,x9693,x9692),f12(x9691,x9691,x9692),x9692),f3(x9692),x9692) % 0.80/1.06 [970]~P49(x9702)+E(x9701,f3(x9702))+~P5(f7(f12(x9701,x9701,x9702),f12(x9703,x9703,x9702),x9702),f3(x9702),x9702) % 0.80/1.06 [471]~P20(x4714)+E(x4711,x4712)+~E(f7(x4713,x4711,x4714),f7(x4713,x4712,x4714)) % 0.80/1.06 [472]~P21(x4724)+E(x4721,x4722)+~E(f7(x4723,x4721,x4724),f7(x4723,x4722,x4724)) % 0.80/1.06 [473]~P14(x4734)+E(x4731,x4732)+~E(f8(x4733,x4733,x4734),f8(x4731,x4732,x4734)) % 0.80/1.06 [474]~P21(x4744)+E(x4741,x4742)+~E(f7(x4741,x4743,x4744),f7(x4742,x4743,x4744)) % 0.80/1.06 [475]~P14(x4753)+E(x4751,x4752)+~E(f8(x4751,x4752,x4753),f8(x4754,x4754,x4753)) % 0.80/1.06 [569]~P11(x5694)+~P5(x5691,x5693,x5694)+P5(x5691,f16(x5692,x5693,x5694),x5694) % 0.80/1.06 [571]~P11(x5714)+~P5(x5711,x5712,x5714)+P5(x5711,f16(x5712,x5713,x5714),x5714) % 0.80/1.06 [573]~P11(x5734)+~P7(x5731,x5733,x5734)+P7(x5731,f16(x5732,x5733,x5734),x5734) % 0.80/1.06 [575]~P11(x5754)+~P7(x5751,x5752,x5754)+P7(x5751,f16(x5752,x5753,x5754),x5754) % 0.80/1.06 [576]~P41(x5764)+~P6(x5761,x5763,x5764)+P6(x5761,f12(x5762,x5763,x5764),x5764) % 0.80/1.06 [577]~P41(x5774)+~P6(x5771,x5772,x5774)+P6(x5771,f12(x5772,x5773,x5774),x5774) % 0.80/1.06 [579]~P11(x5793)+~P5(x5792,x5794,x5793)+P5(f15(x5791,x5792,x5793),x5794,x5793) % 0.80/1.06 [581]~P11(x5813)+~P5(x5811,x5814,x5813)+P5(f15(x5811,x5812,x5813),x5814,x5813) % 0.80/1.06 [583]~P11(x5833)+~P7(x5832,x5834,x5833)+P7(f15(x5831,x5832,x5833),x5834,x5833) % 0.80/1.06 [585]~P11(x5853)+~P7(x5851,x5854,x5853)+P7(f15(x5851,x5852,x5853),x5854,x5853) % 0.80/1.06 [609]~P11(x6093)+P5(x6091,x6092,x6093)+~P5(x6091,f15(x6094,x6092,x6093),x6093) % 0.80/1.06 [611]~P11(x6113)+P5(x6111,x6112,x6113)+~P5(x6111,f15(x6112,x6114,x6113),x6113) % 0.80/1.06 [612]~P11(x6123)+P7(x6121,x6122,x6123)+~P7(x6121,f15(x6124,x6122,x6123),x6123) % 0.80/1.06 [613]~P11(x6133)+P7(x6131,x6132,x6133)+~P7(x6131,f15(x6132,x6134,x6133),x6133) % 0.80/1.06 [615]~P11(x6153)+P5(x6151,x6152,x6153)+~P5(f16(x6154,x6151,x6153),x6152,x6153) % 0.80/1.06 [617]~P11(x6173)+P5(x6171,x6172,x6173)+~P5(f16(x6171,x6174,x6173),x6172,x6173) % 0.80/1.06 [618]~P11(x6183)+P7(x6181,x6182,x6183)+~P7(f16(x6184,x6181,x6183),x6182,x6183) % 0.80/1.06 [619]~P11(x6193)+P7(x6191,x6192,x6193)+~P7(f16(x6191,x6194,x6193),x6192,x6193) % 0.80/1.06 [620]~P41(x6203)+P6(x6201,x6202,x6203)+~P6(f12(x6204,x6201,x6203),x6202,x6203) % 0.80/1.06 [621]~P41(x6213)+P6(x6211,x6212,x6213)+~P6(f12(x6211,x6214,x6213),x6212,x6213) % 0.80/1.06 [687]~P28(x6873)+~P5(x6871,x6874,x6873)+P5(f7(x6871,x6872,x6873),f7(x6874,x6872,x6873),x6873) % 0.80/1.06 [688]~P29(x6883)+~P5(x6881,x6884,x6883)+P5(f7(x6881,x6882,x6883),f7(x6884,x6882,x6883),x6883) % 0.80/1.06 [689]~P28(x6893)+~P5(x6892,x6894,x6893)+P5(f7(x6891,x6892,x6893),f7(x6891,x6894,x6893),x6893) % 0.80/1.06 [690]~P29(x6903)+~P5(x6902,x6904,x6903)+P5(f7(x6901,x6902,x6903),f7(x6901,x6904,x6903),x6903) % 0.80/1.06 [691]~P28(x6913)+~P7(x6911,x6914,x6913)+P7(f7(x6911,x6912,x6913),f7(x6914,x6912,x6913),x6913) % 0.80/1.06 [692]~P31(x6923)+~P7(x6921,x6924,x6923)+P7(f7(x6921,x6922,x6923),f7(x6924,x6922,x6923),x6923) % 0.80/1.06 [693]~P28(x6933)+~P7(x6932,x6934,x6933)+P7(f7(x6931,x6932,x6933),f7(x6931,x6934,x6933),x6933) % 0.80/1.06 [694]~P31(x6943)+~P7(x6942,x6944,x6943)+P7(f7(x6941,x6942,x6943),f7(x6941,x6944,x6943),x6943) % 0.80/1.06 [695]~P2(x6953)+~P6(x6951,x6954,x6953)+P6(f12(x6951,x6952,x6953),f12(x6954,x6952,x6953),x6953) % 0.80/1.06 [696]~P2(x6963)+~P6(x6962,x6964,x6963)+P6(f12(x6961,x6962,x6963),f12(x6961,x6964,x6963),x6963) % 0.80/1.06 [848]~P28(x8483)+P5(x8481,x8482,x8483)+~P5(f7(x8484,x8481,x8483),f7(x8484,x8482,x8483),x8483) % 0.80/1.06 [849]~P28(x8493)+P5(x8491,x8492,x8493)+~P5(f7(x8491,x8494,x8493),f7(x8492,x8494,x8493),x8493) % 0.80/1.06 [850]~P28(x8503)+P7(x8501,x8502,x8503)+~P7(f7(x8504,x8501,x8503),f7(x8504,x8502,x8503),x8503) % 0.80/1.06 [851]~P28(x8513)+P7(x8511,x8512,x8513)+~P7(f7(x8511,x8514,x8513),f7(x8512,x8514,x8513),x8513) % 0.80/1.06 [594]~P14(x5943)+E(x5941,f11(x5942,x5943))+~E(f7(x5941,f7(x5944,x5942,x5943),x5943),x5944) % 0.80/1.06 [606]~P4(x6063)+~P6(x6064,x6062,x6063)+E(f6(f6(x6061,x6062,x6063),x6064,x6063),f6(x6061,x6064,x6063)) % 0.80/1.06 [664]~P9(x6643)+~P46(x6643)+E(f10(f12(x6641,x6642,x6643),x6644,x6643),f12(f10(x6641,x6644,x6643),x6642,x6643)) % 0.80/1.06 [666]~P8(x6662)+~E(f6(x6661,x6663,x6662),f6(x6664,x6663,x6662))+E(f6(f11(x6661,x6662),x6663,x6662),f6(f11(x6664,x6662),x6663,x6662)) % 0.80/1.06 [847]~P25(x8474)+~P5(f7(x8471,x8473,x8474),x8472,x8474)+P5(x8471,f7(x8472,f9(x8473,x8474),x8474),x8474) % 0.80/1.06 [891]~P2(x8913)+~P3(x8913)+E(f7(f12(x8911,x8912,x8913),f12(x8911,x8914,x8913),x8913),f7(f12(x8911,x8914,x8913),f12(x8911,x8912,x8913),x8913)) % 0.80/1.06 [926]~P55(x9264)+P7(x9261,f7(x9262,x9263,x9264),x9264)+~P7(f9(f8(x9261,x9262,x9264),x9264),x9263,x9264) % 0.80/1.06 [927]~P55(x9273)+P7(f8(x9271,x9272,x9273),x9274,x9273)+~P7(f9(f8(x9274,x9271,x9273),x9273),x9272,x9273) % 0.80/1.06 [772]~P14(x7723)+E(f7(x7721,x7722,x7723),x7724)+~E(f7(x7721,f7(x7725,x7722,x7723),x7723),f7(x7725,x7724,x7723)) % 0.80/1.06 [892]~P9(x8923)+~P46(x8923)+E(f10(f12(x8921,x8922,x8923),f12(x8924,x8925,x8923),x8923),f12(f10(x8921,x8924,x8923),f10(x8922,x8925,x8923),x8923)) % 0.80/1.06 [964]~P60(x9644)+~E(f7(f12(x9643,x9645,x9644),x9641,x9644),f7(f12(x9642,x9645,x9644),x9646,x9644))+E(x9641,f7(f12(f8(x9642,x9643,x9644),x9645,x9644),x9646,x9644)) % 0.80/1.06 [965]~P60(x9653)+~E(f7(f12(x9651,x9654,x9653),x9655,x9653),f7(f12(x9652,x9654,x9653),x9656,x9653))+E(f7(f12(f8(x9651,x9652,x9653),x9654,x9653),x9655,x9653),x9656) % 0.80/1.06 [978]~P48(x9784)+~P5(f7(f12(x9783,x9785,x9784),x9781,x9784),f7(f12(x9782,x9785,x9784),x9786,x9784),x9784)+P5(x9781,f7(f12(f8(x9782,x9783,x9784),x9785,x9784),x9786,x9784),x9784) % 0.80/1.06 [979]~P48(x9794)+~P7(f7(f12(x9793,x9795,x9794),x9791,x9794),f7(f12(x9792,x9795,x9794),x9796,x9794),x9794)+P7(x9791,f7(f12(f8(x9792,x9793,x9794),x9795,x9794),x9796,x9794),x9794) % 0.80/1.06 [980]~P48(x9803)+~P5(f7(f12(x9801,x9804,x9803),x9805,x9803),f7(f12(x9802,x9804,x9803),x9806,x9803),x9803)+P5(f7(f12(f8(x9801,x9802,x9803),x9804,x9803),x9805,x9803),x9806,x9803) % 0.80/1.06 [981]~P48(x9813)+~P7(f7(f12(x9811,x9814,x9813),x9815,x9813),f7(f12(x9812,x9814,x9813),x9816,x9813),x9813)+P7(f7(f12(f8(x9811,x9812,x9813),x9814,x9813),x9815,x9813),x9816,x9813) % 0.80/1.06 [982]~P48(x9823)+P5(f7(f12(x9821,x9822,x9823),x9824,x9823),f7(f12(x9825,x9822,x9823),x9826,x9823),x9823)+~P5(x9824,f7(f12(f8(x9825,x9821,x9823),x9822,x9823),x9826,x9823),x9823) % 0.80/1.06 [983]~P48(x9833)+P7(f7(f12(x9831,x9832,x9833),x9834,x9833),f7(f12(x9835,x9832,x9833),x9836,x9833),x9833)+~P7(x9834,f7(f12(f8(x9835,x9831,x9833),x9832,x9833),x9836,x9833),x9833) % 0.80/1.06 [984]~P48(x9843)+P5(f7(f12(x9841,x9842,x9843),x9844,x9843),f7(f12(x9845,x9842,x9843),x9846,x9843),x9843)+~P5(f7(f12(f8(x9841,x9845,x9843),x9842,x9843),x9844,x9843),x9846,x9843) % 0.80/1.06 [985]~P48(x9853)+P7(f7(f12(x9851,x9852,x9853),x9854,x9853),f7(f12(x9855,x9852,x9853),x9856,x9853),x9853)+~P7(f7(f12(f8(x9851,x9855,x9853),x9852,x9853),x9854,x9853),x9856,x9853) % 0.80/1.06 [359]~P11(x3592)+~P25(x3592)+P7(x3591,f3(x3592),x3592)+E(f9(x3591,x3592),x3591) % 0.80/1.06 [407]~P11(x4072)+~P25(x4072)+~P7(x4071,f3(x4072),x4072)+E(f9(x4071,x4072),f11(x4071,x4072)) % 0.80/1.06 [401]P7(x4011,x4012,x4013)+~P11(x4013)+E(x4011,x4012)+P7(x4012,x4011,x4013) % 0.80/1.06 [402]P7(x4021,x4022,x4023)+~P55(x4023)+E(x4021,x4022)+P7(x4022,x4021,x4023) % 0.80/1.06 [426]~P11(x4263)+~P5(x4261,x4262,x4263)+E(x4261,x4262)+P7(x4261,x4262,x4263) % 0.80/1.06 [432]~P32(x4323)+~P5(x4321,x4322,x4323)+E(x4321,x4322)+P7(x4321,x4322,x4323) % 0.80/1.06 [478]~P5(x4782,x4781,x4783)+~P5(x4781,x4782,x4783)+E(x4781,x4782)+~P32(x4783) % 0.80/1.06 [514]P7(x5142,x5141,x5143)+~P35(x5143)+~P5(x5142,x5141,x5143)+P5(x5141,x5142,x5143) % 0.80/1.06 [375]~P2(x3752)+~P3(x3752)+~E(f7(x3753,x3751,x3752),x3753)+E(x3751,f3(x3752)) % 0.80/1.06 [377]~P2(x3773)+~P3(x3773)+E(x3771,x3772)+~E(f8(x3771,x3772,x3773),f3(x3773)) % 0.80/1.06 [378]~P63(x3782)+~E(f12(x3783,x3781,x3782),f3(x3782))+E(x3781,f3(x3782))+E(x3783,f3(x3782)) % 0.80/1.06 [380]~P52(x3802)+~E(f12(x3803,x3801,x3802),f3(x3802))+E(x3801,f3(x3802))+E(x3803,f3(x3802)) % 0.80/1.06 [511]~P2(x5113)+E(x5111,x5112)+~E(f12(x5111,x5111,x5113),f12(x5112,x5112,x5113))+E(x5111,f11(x5112,x5113)) % 0.80/1.06 [602]~P12(x6022)+~P5(x6021,x6023,x6022)+~P5(f11(x6021,x6022),x6023,x6022)+P5(f9(x6021,x6022),x6023,x6022) % 0.80/1.06 [603]~P55(x6032)+~P7(x6031,x6033,x6032)+~P7(f11(x6031,x6032),x6033,x6032)+P7(f9(x6031,x6032),x6033,x6032) % 0.80/1.06 [698]~P48(x6981)+~P5(x6983,f3(x6981),x6981)+~P5(x6982,f3(x6981),x6981)+P5(f3(x6981),f12(x6982,x6983,x6981),x6981) % 0.80/1.06 [699]~P49(x6991)+~P5(x6993,f3(x6991),x6991)+~P5(x6992,f3(x6991),x6991)+P5(f3(x6991),f12(x6992,x6993,x6991),x6991) % 0.80/1.06 [700]~P50(x7001)+~P5(x7002,f3(x7001),x7001)+~P7(x7003,f3(x7001),x7001)+P5(f3(x7001),f10(x7002,x7003,x7001),x7001) % 0.80/1.06 [701]~P49(x7011)+~P7(x7013,f3(x7011),x7011)+~P7(x7012,f3(x7011),x7011)+P7(f3(x7011),f12(x7012,x7013,x7011),x7011) % 0.80/1.06 [702]~P50(x7021)+~P7(x7023,f3(x7021),x7021)+~P7(x7022,f3(x7021),x7021)+P7(f3(x7021),f10(x7022,x7023,x7021),x7021) % 0.80/1.06 [703]~P48(x7031)+~P5(f3(x7031),x7033,x7031)+~P5(f3(x7031),x7032,x7031)+P5(f3(x7031),f12(x7032,x7033,x7031),x7031) % 0.80/1.06 [704]~P49(x7041)+~P5(f3(x7041),x7043,x7041)+~P5(f3(x7041),x7042,x7041)+P5(f3(x7041),f12(x7042,x7043,x7041),x7041) % 0.80/1.06 [705]~P59(x7051)+~P5(f3(x7051),x7053,x7051)+~P5(f3(x7051),x7052,x7051)+P5(f3(x7051),f12(x7052,x7053,x7051),x7051) % 0.80/1.06 [706]~P30(x7061)+~P5(f3(x7061),x7063,x7061)+~P5(f3(x7061),x7062,x7061)+P5(f3(x7061),f7(x7062,x7063,x7061),x7061) % 0.80/1.06 [707]~P50(x7071)+~P5(f3(x7071),x7072,x7071)+~P7(f3(x7071),x7073,x7071)+P5(f3(x7071),f10(x7072,x7073,x7071),x7071) % 0.80/1.06 [708]~P56(x7081)+~P7(f3(x7081),x7083,x7081)+~P7(f3(x7081),x7082,x7081)+P7(f3(x7081),f12(x7082,x7083,x7081),x7081) % 0.80/1.06 [709]~P30(x7091)+~P5(f3(x7091),x7093,x7091)+~P7(f3(x7091),x7092,x7091)+P7(f3(x7091),f7(x7092,x7093,x7091),x7091) % 0.80/1.06 [710]~P30(x7101)+~P5(f3(x7101),x7102,x7101)+~P7(f3(x7101),x7103,x7101)+P7(f3(x7101),f7(x7102,x7103,x7101),x7101) % 0.80/1.06 [711]~P30(x7111)+~P7(f3(x7111),x7113,x7111)+~P7(f3(x7111),x7112,x7111)+P7(f3(x7111),f7(x7112,x7113,x7111),x7111) % 0.80/1.06 [712]~P50(x7121)+~P7(f3(x7121),x7123,x7121)+~P7(f3(x7121),x7122,x7121)+P7(f3(x7121),f10(x7122,x7123,x7121),x7121) % 0.80/1.06 [713]~P30(x7133)+~P5(x7132,f3(x7133),x7133)+~P5(x7131,f3(x7133),x7133)+P5(f7(x7131,x7132,x7133),f3(x7133),x7133) % 0.80/1.06 [714]~P30(x7143)+~P5(x7142,f3(x7143),x7143)+~P7(x7141,f3(x7143),x7143)+P7(f7(x7141,x7142,x7143),f3(x7143),x7143) % 0.80/1.06 [715]~P30(x7153)+~P5(x7151,f3(x7153),x7153)+~P7(x7152,f3(x7153),x7153)+P7(f7(x7151,x7152,x7153),f3(x7153),x7153) % 0.80/1.06 [716]~P30(x7163)+~P7(x7162,f3(x7163),x7163)+~P7(x7161,f3(x7163),x7163)+P7(f7(x7161,x7162,x7163),f3(x7163),x7163) % 0.80/1.06 [717]~P49(x7173)+~P5(x7172,f3(x7173),x7173)+~P5(f3(x7173),x7171,x7173)+P5(f12(x7171,x7172,x7173),f3(x7173),x7173) % 0.80/1.06 [718]~P49(x7183)+~P5(x7181,f3(x7183),x7183)+~P5(f3(x7183),x7182,x7183)+P5(f12(x7181,x7182,x7183),f3(x7183),x7183) % 0.80/1.06 [720]~P59(x7203)+~P5(x7202,f3(x7203),x7203)+~P5(f3(x7203),x7201,x7203)+P5(f12(x7201,x7202,x7203),f3(x7203),x7203) % 0.80/1.06 [723]~P59(x7233)+~P5(x7231,f3(x7233),x7233)+~P5(f3(x7233),x7232,x7233)+P5(f12(x7231,x7232,x7233),f3(x7233),x7233) % 0.80/1.06 [724]~P50(x7243)+~P5(x7241,f3(x7243),x7243)+~P7(f3(x7243),x7242,x7243)+P5(f10(x7241,x7242,x7243),f3(x7243),x7243) % 0.80/1.06 [725]~P50(x7253)+~P7(x7252,f3(x7253),x7253)+~P5(f3(x7253),x7251,x7253)+P5(f10(x7251,x7252,x7253),f3(x7253),x7253) % 0.80/1.06 [726]~P56(x7263)+~P7(x7262,f3(x7263),x7263)+~P7(f3(x7263),x7261,x7263)+P7(f12(x7261,x7262,x7263),f3(x7263),x7263) % 0.80/1.06 [728]~P56(x7283)+~P7(x7281,f3(x7283),x7283)+~P7(f3(x7283),x7282,x7283)+P7(f12(x7281,x7282,x7283),f3(x7283),x7283) % 0.80/1.06 [729]~P50(x7293)+~P7(x7292,f3(x7293),x7293)+~P7(f3(x7293),x7291,x7293)+P7(f10(x7291,x7292,x7293),f3(x7293),x7293) % 0.80/1.06 [730]~P50(x7303)+~P7(x7301,f3(x7303),x7303)+~P7(f3(x7303),x7302,x7303)+P7(f10(x7301,x7302,x7303),f3(x7303),x7303) % 0.80/1.06 [744]~P49(x7442)+~P5(f12(x7443,x7441,x7442),f3(x7442),x7442)+P5(x7441,f3(x7442),x7442)+P5(x7443,f3(x7442),x7442) % 0.80/1.06 [745]~P49(x7452)+~P5(f3(x7452),f12(x7453,x7451,x7452),x7452)+P5(x7451,f3(x7452),x7452)+P5(f3(x7452),x7453,x7452) % 0.80/1.06 [746]~P49(x7462)+~P5(f3(x7462),f12(x7461,x7463,x7462),x7462)+P5(x7461,f3(x7462),x7462)+P5(f3(x7462),x7463,x7462) % 0.80/1.06 [747]~P49(x7472)+~P5(f3(x7472),f12(x7473,x7471,x7472),x7472)+P5(x7471,f3(x7472),x7472)+P5(f3(x7472),x7471,x7472) % 0.80/1.06 [748]~P49(x7482)+~P5(f3(x7482),f12(x7481,x7483,x7482),x7482)+P5(x7481,f3(x7482),x7482)+P5(f3(x7482),x7481,x7482) % 0.80/1.06 [749]~P49(x7492)+~P5(f12(x7493,x7491,x7492),f3(x7492),x7492)+P5(x7491,f3(x7492),x7492)+P5(f3(x7492),x7491,x7492) % 0.80/1.06 [750]~P49(x7502)+~P5(f12(x7501,x7503,x7502),f3(x7502),x7502)+P5(x7501,f3(x7502),x7502)+P5(f3(x7502),x7501,x7502) % 0.80/1.06 [751]~P49(x7511)+~P5(f12(x7512,x7513,x7511),f3(x7511),x7511)+P5(f3(x7511),x7512,x7511)+P5(f3(x7511),x7513,x7511) % 0.80/1.06 [779]~P56(x7791)+~P7(f3(x7791),f12(x7793,x7792,x7791),x7791)+P7(f3(x7791),x7792,x7791)+~P7(f3(x7791),x7793,x7791) % 0.80/1.06 [780]~P56(x7801)+~P7(f3(x7801),f12(x7802,x7803,x7801),x7801)+P7(f3(x7801),x7802,x7801)+~P7(f3(x7801),x7803,x7801) % 0.80/1.06 [481]~P9(x4812)+~P46(x4812)+E(x4811,f3(x4812))+E(f12(f10(x4813,x4811,x4812),x4811,x4812),x4813) % 0.80/1.06 [607]~P50(x6072)+~P9(x6072)+~P7(f3(x6072),x6073,x6072)+E(f10(f9(x6071,x6072),x6073,x6072),f9(f10(x6071,x6073,x6072),x6072)) % 0.80/1.06 [775]~P61(x7752)+~P5(x7753,f3(x7752),x7752)+~P5(x7751,f3(x7752),x7752)+E(f12(f9(x7751,x7752),f9(x7753,x7752),x7752),f9(f12(x7751,x7753,x7752),x7752)) % 0.80/1.06 [776]~P61(x7762)+~P5(x7763,f3(x7762),x7762)+~P5(f3(x7762),x7761,x7762)+E(f12(f9(x7761,x7762),f9(x7763,x7762),x7762),f9(f12(x7761,x7763,x7762),x7762)) % 0.80/1.06 [777]~P61(x7772)+~P5(x7771,f3(x7772),x7772)+~P5(f3(x7772),x7773,x7772)+E(f12(f9(x7771,x7772),f9(x7773,x7772),x7772),f9(f12(x7771,x7773,x7772),x7772)) % 0.80/1.06 [778]~P61(x7782)+~P5(f3(x7782),x7783,x7782)+~P5(f3(x7782),x7781,x7782)+E(f12(f9(x7781,x7782),f9(x7783,x7782),x7782),f9(f12(x7781,x7783,x7782),x7782)) % 0.80/1.06 [555]~P32(x5553)+~P5(x5551,x5554,x5553)+P5(x5551,x5552,x5553)+~P5(x5554,x5552,x5553) % 0.80/1.06 [556]~P35(x5563)+~P5(x5561,x5564,x5563)+P5(x5561,x5562,x5563)+~P5(x5564,x5562,x5563) % 0.80/1.06 [557]~P32(x5573)+~P7(x5571,x5574,x5573)+P7(x5571,x5572,x5573)+~P5(x5574,x5572,x5573) % 0.80/1.06 [558]~P32(x5583)+~P7(x5584,x5582,x5583)+P7(x5581,x5582,x5583)+~P5(x5581,x5584,x5583) % 0.80/1.06 [559]~P32(x5593)+~P7(x5591,x5594,x5593)+P7(x5591,x5592,x5593)+~P7(x5594,x5592,x5593) % 0.80/1.06 [560]~P35(x5603)+~P7(x5601,x5604,x5603)+P7(x5601,x5602,x5603)+~P5(x5604,x5602,x5603) % 0.80/1.06 [561]~P35(x5613)+~P7(x5614,x5612,x5613)+P7(x5611,x5612,x5613)+~P5(x5611,x5614,x5613) % 0.80/1.06 [562]~P35(x5623)+~P7(x5621,x5624,x5623)+P7(x5621,x5622,x5623)+~P7(x5624,x5622,x5623) % 0.80/1.06 [563]~P41(x5633)+~P6(x5631,x5634,x5633)+P6(x5631,x5632,x5633)+~P6(x5634,x5632,x5633) % 0.80/1.06 [490]~P38(x4904)+E(x4901,x4902)+~E(f18(x4901,x4903,x4904),f18(x4902,x4903,x4904))+E(x4903,f3(x4904)) % 0.80/1.06 [491]~P2(x4914)+~P3(x4914)+E(x4911,x4912)+~E(f7(x4913,x4911,x4914),f7(x4913,x4912,x4914)) % 0.80/1.06 [669]~P11(x6694)+~P5(x6691,x6693,x6694)+~P5(x6691,x6692,x6694)+P5(x6691,f15(x6692,x6693,x6694),x6694) % 0.80/1.06 [670]~P11(x6704)+~P7(x6701,x6703,x6704)+~P7(x6701,x6702,x6704)+P7(x6701,f15(x6702,x6703,x6704),x6704) % 0.80/1.06 [671]~P41(x6714)+~P6(x6711,x6713,x6714)+~P6(x6711,x6712,x6714)+P6(x6711,f7(x6712,x6713,x6714),x6714) % 0.80/1.06 [673]~P4(x6734)+~P6(x6731,x6733,x6734)+~P6(x6731,x6732,x6734)+P6(x6731,f6(x6732,x6733,x6734),x6734) % 0.80/1.06 [674]~P43(x6744)+~P6(x6741,x6743,x6744)+~P6(x6741,x6742,x6744)+P6(x6741,f8(x6742,x6743,x6744),x6744) % 0.80/1.06 [677]~P11(x6773)+~P5(x6772,x6774,x6773)+~P5(x6771,x6774,x6773)+P5(f16(x6771,x6772,x6773),x6774,x6773) % 0.80/1.06 [678]~P11(x6783)+~P7(x6782,x6784,x6783)+~P7(x6781,x6784,x6783)+P7(f16(x6781,x6782,x6783),x6784,x6783) % 0.80/1.06 [681]~P57(x6814)+~P7(x6811,x6813,x6814)+~P7(f3(x6814),x6812,x6814)+P7(x6811,f7(x6812,x6813,x6814),x6814) % 0.80/1.06 [731]~P11(x7313)+P5(x7311,x7312,x7313)+P5(x7311,x7314,x7313)+~P5(x7311,f16(x7312,x7314,x7313),x7313) % 0.80/1.06 [732]~P11(x7323)+P7(x7321,x7322,x7323)+P7(x7321,x7324,x7323)+~P7(x7321,f16(x7322,x7324,x7323),x7323) % 0.80/1.06 [733]~P11(x7333)+P5(x7331,x7332,x7333)+P5(x7334,x7332,x7333)+~P5(f15(x7331,x7334,x7333),x7332,x7333) % 0.80/1.06 [734]~P11(x7343)+P7(x7341,x7342,x7343)+P7(x7344,x7342,x7343)+~P7(f15(x7341,x7344,x7343),x7342,x7343) % 0.80/1.06 [774]~P4(x7743)+P6(x7741,x7742,x7743)+~P6(x7741,x7744,x7743)+~P6(x7741,f6(x7742,x7744,x7743),x7743) % 0.80/1.06 [825]~P48(x8253)+~P5(x8254,x8251,x8253)+~P5(x8252,f3(x8253),x8253)+P5(f12(x8251,x8252,x8253),f12(x8254,x8252,x8253),x8253) % 0.80/1.06 [826]~P48(x8263)+~P5(x8264,x8262,x8263)+~P5(x8261,f3(x8263),x8263)+P5(f12(x8261,x8262,x8263),f12(x8261,x8264,x8263),x8263) % 0.80/1.06 [827]~P49(x8273)+~P5(x8274,x8272,x8273)+~P7(x8271,f3(x8273),x8273)+P5(f12(x8271,x8272,x8273),f12(x8271,x8274,x8273),x8273) % 0.80/1.06 [829]~P49(x8293)+~P7(x8294,x8291,x8293)+~P7(x8292,f3(x8293),x8293)+P7(f12(x8291,x8292,x8293),f12(x8294,x8292,x8293),x8293) % 0.80/1.06 [832]~P49(x8323)+~P7(x8324,x8322,x8323)+~P7(x8321,f3(x8323),x8323)+P7(f12(x8321,x8322,x8323),f12(x8321,x8324,x8323),x8323) % 0.80/1.06 [833]~P50(x8333)+~P7(x8334,x8331,x8333)+~P7(x8332,f3(x8333),x8333)+P7(f10(x8331,x8332,x8333),f10(x8334,x8332,x8333),x8333) % 0.80/1.06 [834]~P1(x8343)+~P5(x8341,x8344,x8343)+~P5(f3(x8343),x8342,x8343)+P5(f12(x8341,x8342,x8343),f12(x8344,x8342,x8343),x8343) % 0.80/1.06 [835]~P1(x8353)+~P5(x8352,x8354,x8353)+~P5(f3(x8353),x8351,x8353)+P5(f12(x8351,x8352,x8353),f12(x8351,x8354,x8353),x8353) % 0.80/1.06 [836]~P49(x8363)+~P5(x8362,x8364,x8363)+~P7(f3(x8363),x8361,x8363)+P5(f12(x8361,x8362,x8363),f12(x8361,x8364,x8363),x8363) % 0.80/1.06 [837]~P51(x8373)+~P5(x8372,x8374,x8373)+~P5(f3(x8373),x8371,x8373)+P5(f12(x8371,x8372,x8373),f12(x8371,x8374,x8373),x8373) % 0.80/1.06 [838]~P49(x8383)+~P7(x8381,x8384,x8383)+~P7(f3(x8383),x8382,x8383)+P7(f12(x8381,x8382,x8383),f12(x8384,x8382,x8383),x8383) % 0.80/1.06 [839]~P56(x8393)+~P7(x8391,x8394,x8393)+~P7(f3(x8393),x8392,x8393)+P7(f12(x8391,x8392,x8393),f12(x8394,x8392,x8393),x8393) % 0.80/1.06 [841]~P49(x8413)+~P7(x8412,x8414,x8413)+~P7(f3(x8413),x8411,x8413)+P7(f12(x8411,x8412,x8413),f12(x8411,x8414,x8413),x8413) % 0.80/1.06 [842]~P56(x8423)+~P7(x8422,x8424,x8423)+~P7(f3(x8423),x8421,x8423)+P7(f12(x8421,x8422,x8423),f12(x8421,x8424,x8423),x8423) % 0.80/1.06 [843]~P54(x8433)+~P7(x8432,x8434,x8433)+~P7(f3(x8433),x8431,x8433)+P7(f12(x8431,x8432,x8433),f12(x8431,x8434,x8433),x8433) % 0.80/1.06 [844]~P50(x8443)+~P7(x8441,x8444,x8443)+~P7(f3(x8443),x8442,x8443)+P7(f10(x8441,x8442,x8443),f10(x8444,x8442,x8443),x8443) % 0.80/1.06 [852]~P2(x8522)+P6(x8523,x8524,x8522)+~P6(f12(x8521,x8523,x8522),f12(x8521,x8524,x8522),x8522)+E(x8521,f3(x8522)) % 0.80/1.06 [853]~P2(x8532)+P6(x8533,x8534,x8532)+~P6(f12(x8533,x8531,x8532),f12(x8534,x8531,x8532),x8532)+E(x8531,f3(x8532)) % 0.80/1.06 [859]~P50(x8594)+~P7(f3(x8594),x8593,x8594)+~P5(f12(x8591,x8593,x8594),x8592,x8594)+P5(x8591,f10(x8592,x8593,x8594),x8594) % 0.80/1.06 [860]~P50(x8604)+~P7(f3(x8604),x8603,x8604)+~P7(f12(x8601,x8603,x8604),x8602,x8604)+P7(x8601,f10(x8602,x8603,x8604),x8604) % 0.80/1.06 [861]~P50(x8613)+~P7(f3(x8613),x8612,x8613)+~P5(x8611,f12(x8614,x8612,x8613),x8613)+P5(f10(x8611,x8612,x8613),x8614,x8613) % 0.80/1.06 [862]~P50(x8623)+~P7(f3(x8623),x8622,x8623)+~P7(x8621,f12(x8624,x8622,x8623),x8623)+P7(f10(x8621,x8622,x8623),x8624,x8623) % 0.80/1.06 [872]P7(x8722,x8721,x8723)+~P49(x8723)+P7(x8721,x8722,x8723)+~P7(f12(x8724,x8721,x8723),f12(x8724,x8722,x8723),x8723) % 0.80/1.06 [873]P7(x8732,x8731,x8733)+~P49(x8733)+P7(x8731,x8732,x8733)+~P7(f12(x8731,x8734,x8733),f12(x8732,x8734,x8733),x8733) % 0.80/1.06 [886]~P49(x8863)+P7(x8861,x8862,x8863)+~P7(f12(x8861,x8864,x8863),f12(x8862,x8864,x8863),x8863)+P7(x8864,f3(x8863),x8863) % 0.80/1.06 [887]~P49(x8873)+P7(x8871,x8872,x8873)+~P7(f12(x8874,x8871,x8873),f12(x8874,x8872,x8873),x8873)+P7(x8874,f3(x8873),x8873) % 0.80/1.06 [888]~P49(x8883)+P7(x8881,x8882,x8883)+~P7(f12(x8884,x8882,x8883),f12(x8884,x8881,x8883),x8883)+P7(f3(x8883),x8884,x8883) % 0.80/1.06 [889]~P49(x8893)+P7(x8891,x8892,x8893)+~P7(f12(x8892,x8894,x8893),f12(x8891,x8894,x8893),x8893)+P7(f3(x8893),x8894,x8893) % 0.80/1.06 [893]~P49(x8932)+~P7(f12(x8933,x8931,x8932),f12(x8934,x8931,x8932),x8932)+P7(x8931,f3(x8932),x8932)+P7(f3(x8932),x8931,x8932) % 0.80/1.06 [894]~P49(x8942)+~P7(f12(x8941,x8943,x8942),f12(x8941,x8944,x8942),x8942)+P7(x8941,f3(x8942),x8942)+P7(f3(x8942),x8941,x8942) % 0.80/1.06 [897]~P49(x8973)+P5(x8971,x8972,x8973)+~P5(f12(x8974,x8972,x8973),f12(x8974,x8971,x8973),x8973)+~P7(x8974,f3(x8973),x8973) % 0.80/1.06 [898]~P49(x8983)+P7(x8981,x8982,x8983)+~P7(f12(x8984,x8982,x8983),f12(x8984,x8981,x8983),x8983)+~P7(x8984,f3(x8983),x8983) % 0.80/1.06 [899]~P49(x8993)+P5(x8991,x8992,x8993)+~P5(f12(x8994,x8991,x8993),f12(x8994,x8992,x8993),x8993)+~P7(f3(x8993),x8994,x8993) % 0.80/1.06 [900]~P56(x9003)+P5(x9001,x9002,x9003)+~P5(f12(x9004,x9001,x9003),f12(x9004,x9002,x9003),x9003)+~P7(f3(x9003),x9004,x9003) % 0.80/1.06 [901]~P56(x9013)+P5(x9011,x9012,x9013)+~P5(f12(x9011,x9014,x9013),f12(x9012,x9014,x9013),x9013)+~P7(f3(x9013),x9014,x9013) % 0.80/1.06 [902]~P49(x9023)+P7(x9021,x9022,x9023)+~P7(f12(x9024,x9021,x9023),f12(x9024,x9022,x9023),x9023)+~P7(f3(x9023),x9024,x9023) % 0.80/1.06 [903]~P56(x9033)+P7(x9031,x9032,x9033)+~P7(f12(x9034,x9031,x9033),f12(x9034,x9032,x9033),x9033)+~P5(f3(x9033),x9034,x9033) % 0.80/1.06 [904]~P56(x9043)+P7(x9041,x9042,x9043)+~P7(f12(x9041,x9044,x9043),f12(x9042,x9044,x9043),x9043)+~P5(f3(x9043),x9044,x9043) % 0.80/1.06 [905]~P58(x9053)+P7(x9051,x9052,x9053)+~P7(f12(x9054,x9051,x9053),f12(x9054,x9052,x9053),x9053)+~P5(f3(x9053),x9054,x9053) % 0.80/1.06 [906]~P58(x9063)+P7(x9061,x9062,x9063)+~P7(f12(x9061,x9064,x9063),f12(x9062,x9064,x9063),x9063)+~P5(f3(x9063),x9064,x9063) % 0.80/1.06 [679]~P9(x6792)+~P46(x6792)+E(x6791,f3(x6792))+E(f10(f12(x6793,x6791,x6792),f12(x6794,x6791,x6792),x6792),f10(x6793,x6794,x6792)) % 0.80/1.06 [680]~P9(x6802)+~P46(x6802)+E(x6801,f3(x6802))+E(f10(f12(x6801,x6803,x6802),f12(x6801,x6804,x6802),x6802),f10(x6803,x6804,x6802)) % 0.80/1.06 [960]~P55(x9603)+~P7(x9601,f7(x9602,x9604,x9603),x9603)+~P7(f8(x9602,x9604,x9603),x9601,x9603)+P7(f9(f8(x9601,x9602,x9603),x9603),x9604,x9603) % 0.80/1.06 [895]~P9(x8952)+~P46(x8952)+E(x8951,f3(x8952))+E(f10(f7(x8953,f12(x8954,x8951,x8952),x8952),x8951,x8952),f7(x8954,f10(x8953,x8951,x8952),x8952)) % 0.80/1.06 [896]~P9(x8962)+~P46(x8962)+E(x8961,f3(x8962))+E(f10(f7(x8963,f12(x8964,x8961,x8962),x8962),x8961,x8962),f7(f10(x8963,x8961,x8962),x8964,x8962)) % 0.80/1.06 [622]~P24(x6223)+~P5(x6225,x6224,x6223)+P5(x6221,x6222,x6223)+~E(f8(x6224,x6225,x6223),f8(x6222,x6221,x6223)) % 0.80/1.06 [623]~P24(x6233)+~P5(x6235,x6234,x6233)+P5(x6231,x6232,x6233)+~E(f8(x6232,x6231,x6233),f8(x6234,x6235,x6233)) % 0.80/1.06 [624]~P24(x6243)+~P7(x6244,x6245,x6243)+P7(x6241,x6242,x6243)+~E(f8(x6244,x6245,x6243),f8(x6241,x6242,x6243)) % 0.80/1.06 [625]~P24(x6253)+~P7(x6254,x6255,x6253)+P7(x6251,x6252,x6253)+~E(f8(x6251,x6252,x6253),f8(x6254,x6255,x6253)) % 0.80/1.06 [815]~P29(x8153)+~P5(x8152,x8155,x8153)+~P5(x8151,x8154,x8153)+P5(f7(x8151,x8152,x8153),f7(x8154,x8155,x8153),x8153) % 0.80/1.06 [816]~P31(x8163)+~P5(x8162,x8165,x8163)+~P7(x8161,x8164,x8163)+P7(f7(x8161,x8162,x8163),f7(x8164,x8165,x8163),x8163) % 0.80/1.06 [817]~P31(x8173)+~P5(x8171,x8174,x8173)+~P7(x8172,x8175,x8173)+P7(f7(x8171,x8172,x8173),f7(x8174,x8175,x8173),x8173) % 0.80/1.06 [818]~P31(x8183)+~P7(x8182,x8185,x8183)+~P7(x8181,x8184,x8183)+P7(f7(x8181,x8182,x8183),f7(x8184,x8185,x8183),x8183) % 0.80/1.06 [819]~P41(x8193)+~P6(x8192,x8195,x8193)+~P6(x8191,x8194,x8193)+P6(f12(x8191,x8192,x8193),f12(x8194,x8195,x8193),x8193) % 0.80/1.06 [854]~P24(x8544)+~P5(x8545,x8543,x8544)+~P5(x8541,f7(x8542,x8545,x8544),x8544)+P5(x8541,f7(x8542,x8543,x8544),x8544) % 0.80/1.06 [928]~P55(x9282)+~P7(f9(x9281,x9282),x9284,x9282)+~P7(f9(x9283,x9282),x9285,x9282)+P7(f12(f9(x9281,x9282),f9(x9283,x9282),x9282),f12(x9284,x9285,x9282),x9282) % 0.80/1.06 [971]~P46(x9712)+E(x9711,f3(x9712))+E(x9713,f3(x9712))+E(f10(f7(f12(x9714,x9711,x9712),f12(x9715,x9713,x9712),x9712),f12(x9713,x9711,x9712),x9712),f7(f10(x9714,x9713,x9712),f10(x9715,x9711,x9712),x9712)) % 0.80/1.06 [972]~P46(x9722)+E(x9721,f3(x9722))+E(x9723,f3(x9722))+E(f10(f8(f12(x9724,x9721,x9722),f12(x9725,x9723,x9722),x9722),f12(x9723,x9721,x9722),x9722),f8(f10(x9724,x9723,x9722),f10(x9725,x9721,x9722),x9722)) % 0.80/1.06 [940]~P4(x9403)+~E(f6(x9401,x9404,x9403),f6(x9405,x9404,x9403))+~E(f6(x9402,x9404,x9403),f6(x9406,x9404,x9403))+E(f6(f12(x9401,x9402,x9403),x9404,x9403),f6(f12(x9405,x9406,x9403),x9404,x9403)) % 0.80/1.06 [941]~P4(x9413)+~E(f6(x9411,x9414,x9413),f6(x9415,x9414,x9413))+~E(f6(x9412,x9414,x9413),f6(x9416,x9414,x9413))+E(f6(f7(x9411,x9412,x9413),x9414,x9413),f6(f7(x9415,x9416,x9413),x9414,x9413)) % 0.80/1.06 [942]~P8(x9423)+~E(f6(x9421,x9424,x9423),f6(x9425,x9424,x9423))+~E(f6(x9422,x9424,x9423),f6(x9426,x9424,x9423))+E(f6(f8(x9421,x9422,x9423),x9424,x9423),f6(f8(x9425,x9426,x9423),x9424,x9423)) % 0.80/1.06 [595]~P30(x5952)+~P5(f3(x5952),x5951,x5952)+~P5(f3(x5952),x5953,x5952)+~E(f7(x5953,x5951,x5952),f3(x5952))+E(x5951,f3(x5952)) % 0.80/1.06 [596]~P30(x5962)+~P5(f3(x5962),x5963,x5962)+~P5(f3(x5962),x5961,x5962)+~E(f7(x5961,x5963,x5962),f3(x5962))+E(x5961,f3(x5962)) % 0.80/1.06 [735]~P50(x7351)+~P9(x7351)+~P5(x7353,f3(x7351),x7351)+~P5(x7352,f3(x7351),x7351)+P5(f3(x7351),f10(x7352,x7353,x7351),x7351) % 0.80/1.06 [737]~P50(x7371)+~P9(x7371)+~P5(f3(x7371),x7373,x7371)+~P5(f3(x7371),x7372,x7371)+P5(f3(x7371),f10(x7372,x7373,x7371),x7371) % 0.80/1.06 [739]~P50(x7393)+~P9(x7393)+~P5(x7392,f3(x7393),x7393)+~P5(f3(x7393),x7391,x7393)+P5(f10(x7391,x7392,x7393),f3(x7393),x7393) % 0.80/1.06 [740]~P50(x7403)+~P9(x7403)+~P5(x7401,f3(x7403),x7403)+~P5(f3(x7403),x7402,x7403)+P5(f10(x7401,x7402,x7403),f3(x7403),x7403) % 0.80/1.06 [756]~P50(x7562)+~P9(x7562)+~P5(f10(x7563,x7561,x7562),f3(x7562),x7562)+P5(x7561,f3(x7562),x7562)+P5(x7563,f3(x7562),x7562) % 0.80/1.06 [757]~P50(x7572)+~P9(x7572)+~P7(f10(x7573,x7571,x7572),f3(x7572),x7572)+P7(x7571,f3(x7572),x7572)+P7(x7573,f3(x7572),x7572) % 0.80/1.06 [758]~P50(x7582)+~P9(x7582)+~P5(f3(x7582),f10(x7583,x7581,x7582),x7582)+P5(x7581,f3(x7582),x7582)+P5(f3(x7582),x7583,x7582) % 0.80/1.06 [759]~P50(x7592)+~P9(x7592)+~P5(f3(x7592),f10(x7591,x7593,x7592),x7592)+P5(x7591,f3(x7592),x7592)+P5(f3(x7592),x7593,x7592) % 0.80/1.06 [760]~P50(x7602)+~P9(x7602)+~P5(f3(x7602),f10(x7603,x7601,x7602),x7602)+P5(x7601,f3(x7602),x7602)+P5(f3(x7602),x7601,x7602) % 0.80/1.06 [761]~P50(x7612)+~P9(x7612)+~P5(f3(x7612),f10(x7611,x7613,x7612),x7612)+P5(x7611,f3(x7612),x7612)+P5(f3(x7612),x7611,x7612) % 0.80/1.06 [762]~P50(x7622)+~P9(x7622)+~P7(f3(x7622),f10(x7623,x7621,x7622),x7622)+P7(x7621,f3(x7622),x7622)+P7(f3(x7622),x7623,x7622) % 0.80/1.06 [763]~P50(x7632)+~P9(x7632)+~P7(f3(x7632),f10(x7631,x7633,x7632),x7632)+P7(x7631,f3(x7632),x7632)+P7(f3(x7632),x7633,x7632) % 0.80/1.06 [764]~P50(x7642)+~P9(x7642)+~P7(f3(x7642),f10(x7643,x7641,x7642),x7642)+P7(x7641,f3(x7642),x7642)+P7(f3(x7642),x7641,x7642) % 0.80/1.06 [765]~P50(x7652)+~P9(x7652)+~P7(f3(x7652),f10(x7651,x7653,x7652),x7652)+P7(x7651,f3(x7652),x7652)+P7(f3(x7652),x7651,x7652) % 0.80/1.06 [766]~P50(x7662)+~P9(x7662)+~P5(f10(x7663,x7661,x7662),f3(x7662),x7662)+P5(x7661,f3(x7662),x7662)+P5(f3(x7662),x7661,x7662) % 0.80/1.06 [767]~P50(x7672)+~P9(x7672)+~P5(f10(x7671,x7673,x7672),f3(x7672),x7672)+P5(x7671,f3(x7672),x7672)+P5(f3(x7672),x7671,x7672) % 0.80/1.06 [768]~P50(x7682)+~P9(x7682)+~P7(f10(x7683,x7681,x7682),f3(x7682),x7682)+P7(x7681,f3(x7682),x7682)+P7(f3(x7682),x7681,x7682) % 0.80/1.06 [769]~P50(x7692)+~P9(x7692)+~P7(f10(x7691,x7693,x7692),f3(x7692),x7692)+P7(x7691,f3(x7692),x7692)+P7(f3(x7692),x7691,x7692) % 0.80/1.06 [770]~P50(x7701)+~P9(x7701)+~P5(f10(x7702,x7703,x7701),f3(x7701),x7701)+P5(f3(x7701),x7702,x7701)+P5(f3(x7701),x7703,x7701) % 0.80/1.06 [771]~P50(x7711)+~P9(x7711)+~P7(f10(x7712,x7713,x7711),f3(x7711),x7711)+P7(f3(x7711),x7712,x7711)+P7(f3(x7711),x7713,x7711) % 0.80/1.06 [683]~P28(x6834)+~P23(x6834)+~P5(x6831,x6833,x6834)+~P5(f3(x6834),x6832,x6834)+P5(x6831,f7(x6832,x6833,x6834),x6834) % 0.80/1.06 [684]~P28(x6844)+~P23(x6844)+~P5(x6841,x6842,x6844)+~P5(f3(x6844),x6843,x6844)+P5(x6841,f7(x6842,x6843,x6844),x6844) % 0.80/1.06 [685]~P28(x6854)+~P23(x6854)+~P5(x6851,x6853,x6854)+~P7(f3(x6854),x6852,x6854)+P7(x6851,f7(x6852,x6853,x6854),x6854) % 0.80/1.06 [686]~P28(x6864)+~P23(x6864)+~P7(x6861,x6863,x6864)+~P5(f3(x6864),x6862,x6864)+P7(x6861,f7(x6862,x6863,x6864),x6864) % 0.80/1.06 [845]~P50(x8453)+~P9(x8453)+~P5(x8454,x8451,x8453)+~P5(x8452,f3(x8453),x8453)+P5(f10(x8451,x8452,x8453),f10(x8454,x8452,x8453),x8453) % 0.80/1.06 [846]~P50(x8463)+~P9(x8463)+~P5(x8461,x8464,x8463)+~P5(f3(x8463),x8462,x8463)+P5(f10(x8461,x8462,x8463),f10(x8464,x8462,x8463),x8463) % 0.80/1.06 [863]~P50(x8634)+~P9(x8634)+~P7(f3(x8634),x8633,x8634)+~P5(f10(x8631,x8633,x8634),x8632,x8634)+P5(x8631,f12(x8632,x8633,x8634),x8634) % 0.80/1.06 [865]~P50(x8654)+~P9(x8654)+~P7(f3(x8654),x8653,x8654)+~P7(f10(x8651,x8653,x8654),x8652,x8654)+P7(x8651,f12(x8652,x8653,x8654),x8654) % 0.80/1.06 [867]~P50(x8673)+~P9(x8673)+~P7(f3(x8673),x8672,x8673)+~P5(x8671,f10(x8674,x8672,x8673),x8673)+P5(f12(x8671,x8672,x8673),x8674,x8673) % 0.80/1.06 [869]~P50(x8693)+~P9(x8693)+~P7(f3(x8693),x8692,x8693)+~P7(x8691,f10(x8694,x8692,x8693),x8693)+P7(f12(x8691,x8692,x8693),x8694,x8693) % 0.80/1.06 [944]~P50(x9443)+~P7(x9442,x9444,x9443)+~P7(x9441,f3(x9443),x9443)+~P7(f3(x9443),f12(x9442,x9444,x9443),x9443)+P7(f10(x9441,x9442,x9443),f10(x9441,x9444,x9443),x9443) % 0.80/1.06 [945]~P50(x9453)+~P5(x9454,x9452,x9453)+~P5(f3(x9453),x9451,x9453)+~P7(f3(x9453),f12(x9452,x9454,x9453),x9453)+P5(f10(x9451,x9452,x9453),f10(x9451,x9454,x9453),x9453) % 0.80/1.06 [946]~P50(x9463)+~P7(x9464,x9462,x9463)+~P7(f3(x9463),x9461,x9463)+~P7(f3(x9463),f12(x9462,x9464,x9463),x9463)+P7(f10(x9461,x9462,x9463),f10(x9461,x9464,x9463),x9463) % 0.80/1.06 [597]~P46(x5972)+~E(f10(x5974,x5973,x5972),f10(x5975,x5971,x5972))+E(f12(x5974,x5971,x5972),f12(x5975,x5973,x5972))+E(x5971,f3(x5972))+E(x5973,f3(x5972)) % 0.80/1.06 [598]~P46(x5982)+~E(f12(x5984,x5983,x5982),f12(x5985,x5981,x5982))+E(f10(x5984,x5981,x5982),f10(x5985,x5983,x5982))+E(x5981,f3(x5982))+E(x5983,f3(x5982)) % 0.80/1.06 [871]~P2(x8714)+~P3(x8714)+E(x8711,x8712)+E(x8713,f3(x8714))+~E(f7(x8715,f12(x8713,x8711,x8714),x8714),f7(x8715,f12(x8713,x8712,x8714),x8714)) % 0.80/1.06 [962]~P2(x9625)+~P3(x9625)+E(x9621,x9622)+E(x9623,x9624)+~E(f7(f12(x9623,x9621,x9625),f12(x9624,x9622,x9625),x9625),f7(f12(x9623,x9622,x9625),f12(x9624,x9621,x9625),x9625)) % 0.80/1.06 [976]~P45(x9765)+~P10(x9765)+~P6(x9761,x9764,x9765)+~P6(x9761,f7(x9762,x9766,x9765),x9765)+P6(x9761,f7(f8(x9762,f12(x9763,x9764,x9765),x9765),x9766,x9765),x9765) % 0.80/1.06 [977]~P45(x9774)+~P10(x9774)+~P6(x9771,x9775,x9774)+P6(x9771,f7(x9772,x9773,x9774),x9774)+~P6(x9771,f7(f8(x9772,f12(x9776,x9775,x9774),x9774),x9773,x9774),x9774) % 0.80/1.06 [752]~P50(x7522)+~P9(x7522)+P7(x7521,f3(x7522),x7522)+P7(f3(x7522),x7521,x7522)+~P5(x7523,f3(x7522),x7522)+P5(x7523,f10(x7524,x7521,x7522),x7522) % 0.80/1.06 [753]~P50(x7532)+~P9(x7532)+P7(x7531,f3(x7532),x7532)+P7(f3(x7532),x7531,x7532)+~P7(x7533,f3(x7532),x7532)+P7(x7533,f10(x7534,x7531,x7532),x7532) % 0.80/1.06 [754]~P50(x7542)+~P9(x7542)+P7(x7541,f3(x7542),x7542)+P7(f3(x7542),x7541,x7542)+~P5(f3(x7542),x7544,x7542)+P5(f10(x7543,x7541,x7542),x7544,x7542) % 0.80/1.06 [755]~P50(x7552)+~P9(x7552)+P7(x7551,f3(x7552),x7552)+P7(f3(x7552),x7551,x7552)+~P7(f3(x7552),x7554,x7552)+P7(f10(x7553,x7551,x7552),x7554,x7552) % 0.80/1.06 [821]~P50(x8212)+~P9(x8212)+P5(x8211,f3(x8212),x8212)+P7(f3(x8212),x8213,x8212)+~P5(x8211,f10(x8214,x8213,x8212),x8212)+P7(x8213,f3(x8212),x8212) % 0.80/1.06 [822]~P50(x8222)+~P9(x8222)+P7(x8221,f3(x8222),x8222)+P7(f3(x8222),x8221,x8222)+~P7(x8223,f10(x8224,x8221,x8222),x8222)+P7(x8223,f3(x8222),x8222) % 0.80/1.06 [823]~P50(x8232)+~P9(x8232)+P7(x8231,f3(x8232),x8232)+P7(f3(x8232),x8231,x8232)+~P5(f10(x8234,x8231,x8232),x8233,x8232)+P5(f3(x8232),x8233,x8232) % 0.80/1.06 [824]~P50(x8242)+~P9(x8242)+P7(x8241,f3(x8242),x8242)+P7(f3(x8242),x8241,x8242)+~P7(f10(x8244,x8241,x8242),x8243,x8242)+P7(f3(x8242),x8243,x8242) % 0.80/1.06 [907]~P50(x9072)+~P9(x9072)+~P5(f12(x9073,x9071,x9072),x9074,x9072)+P7(x9071,f3(x9072),x9072)+~P5(x9073,f3(x9072),x9072)+P5(x9073,f10(x9074,x9071,x9072),x9072) % 0.80/1.06 [908]~P50(x9082)+~P9(x9082)+~P7(f12(x9083,x9081,x9082),x9084,x9082)+P7(x9081,f3(x9082),x9082)+~P7(x9083,f3(x9082),x9082)+P7(x9083,f10(x9084,x9081,x9082),x9082) % 0.80/1.06 [909]~P50(x9092)+~P9(x9092)+~P5(x9093,f12(x9094,x9091,x9092),x9092)+P7(x9091,f3(x9092),x9092)+~P5(f3(x9092),x9094,x9092)+P5(f10(x9093,x9091,x9092),x9094,x9092) % 0.80/1.06 [910]~P50(x9102)+~P9(x9102)+~P7(x9103,f12(x9104,x9101,x9102),x9102)+P7(x9101,f3(x9102),x9102)+~P7(f3(x9102),x9104,x9102)+P7(f10(x9103,x9101,x9102),x9104,x9102) % 0.80/1.06 [911]~P50(x9111)+~P9(x9111)+~P5(x9114,f10(x9113,x9112,x9111),x9111)+~P7(x9112,f3(x9111),x9111)+P7(f3(x9111),x9112,x9111)+P5(x9113,f12(x9114,x9112,x9111),x9111) % 0.80/1.06 [912]~P50(x9121)+~P9(x9121)+~P5(x9124,f12(x9123,x9122,x9121),x9121)+~P5(x9123,f3(x9121),x9121)+P7(f3(x9121),x9122,x9121)+P5(x9123,f10(x9124,x9122,x9121),x9121) % 0.80/1.06 [913]~P50(x9131)+~P9(x9131)+~P5(x9134,f12(x9133,x9132,x9131),x9131)+~P7(x9132,f3(x9131),x9131)+P7(f3(x9131),x9132,x9131)+P5(x9133,f10(x9134,x9132,x9131),x9131) % 0.80/1.06 [914]~P50(x9141)+~P9(x9141)+~P7(x9144,f10(x9143,x9142,x9141),x9141)+~P7(x9142,f3(x9141),x9141)+P7(f3(x9141),x9142,x9141)+P7(x9143,f12(x9144,x9142,x9141),x9141) % 0.80/1.06 [915]~P50(x9151)+~P9(x9151)+~P7(x9154,f12(x9153,x9152,x9151),x9151)+~P7(x9152,f3(x9151),x9151)+P7(f3(x9151),x9152,x9151)+P7(x9153,f10(x9154,x9152,x9151),x9151) % 0.80/1.06 [916]~P50(x9161)+~P9(x9161)+~P7(x9164,f12(x9163,x9162,x9161),x9161)+~P7(x9163,f3(x9161),x9161)+P7(f3(x9161),x9162,x9161)+P7(x9163,f10(x9164,x9162,x9161),x9161) % 0.80/1.06 [917]~P50(x9171)+~P9(x9171)+~P5(f10(x9174,x9172,x9171),x9173,x9171)+~P7(x9172,f3(x9171),x9171)+P7(f3(x9171),x9172,x9171)+P5(f12(x9173,x9172,x9171),x9174,x9171) % 0.80/1.06 [918]~P50(x9181)+~P9(x9181)+~P5(f12(x9184,x9182,x9181),x9183,x9181)+~P7(x9182,f3(x9181),x9181)+P7(f3(x9181),x9182,x9181)+P5(f10(x9183,x9182,x9181),x9184,x9181) % 0.80/1.06 [919]~P50(x9191)+~P9(x9191)+~P7(f10(x9194,x9192,x9191),x9193,x9191)+~P7(x9192,f3(x9191),x9191)+P7(f3(x9191),x9192,x9191)+P7(f12(x9193,x9192,x9191),x9194,x9191) % 0.80/1.06 [920]~P50(x9201)+~P9(x9201)+~P7(f12(x9204,x9202,x9201),x9203,x9201)+~P7(x9202,f3(x9201),x9201)+P7(f3(x9201),x9202,x9201)+P7(f10(x9203,x9202,x9201),x9204,x9201) % 0.80/1.06 [921]~P50(x9211)+~P9(x9211)+~P5(f12(x9214,x9212,x9211),x9213,x9211)+~P5(f3(x9211),x9214,x9211)+P7(f3(x9211),x9212,x9211)+P5(f10(x9213,x9212,x9211),x9214,x9211) % 0.80/1.06 [922]~P50(x9221)+~P9(x9221)+~P7(f12(x9224,x9222,x9221),x9223,x9221)+~P7(f3(x9221),x9224,x9221)+P7(f3(x9221),x9222,x9221)+P7(f10(x9223,x9222,x9221),x9224,x9221) % 0.80/1.06 [947]~P50(x9473)+~P9(x9473)+~P5(x9472,x9474,x9473)+~P5(x9471,f3(x9473),x9473)+~P7(f3(x9473),f12(x9472,x9474,x9473),x9473)+P5(f10(x9471,x9472,x9473),f10(x9471,x9474,x9473),x9473) % 0.80/1.06 [952]~P50(x9524)+~P9(x9524)+~P5(x9521,f3(x9524),x9524)+~P5(x9522,f12(x9521,x9523,x9524),x9524)+~P5(f12(x9521,x9523,x9524),x9522,x9524)+P5(x9521,f10(x9522,x9523,x9524),x9524) % 0.80/1.06 [953]~P50(x9534)+~P9(x9534)+~P7(x9533,f3(x9534),x9534)+~P5(x9532,f12(x9531,x9533,x9534),x9534)+~P5(f12(x9531,x9533,x9534),x9532,x9534)+P5(x9531,f10(x9532,x9533,x9534),x9534) % 0.80/1.06 [954]~P50(x9544)+~P9(x9544)+~P7(x9543,f3(x9544),x9544)+~P7(x9542,f12(x9541,x9543,x9544),x9544)+~P7(f12(x9541,x9543,x9544),x9542,x9544)+P7(x9541,f10(x9542,x9543,x9544),x9544) % 0.80/1.06 [955]~P50(x9554)+~P9(x9554)+~P7(x9551,f3(x9554),x9554)+~P7(x9552,f12(x9551,x9553,x9554),x9554)+~P7(f12(x9551,x9553,x9554),x9552,x9554)+P7(x9551,f10(x9552,x9553,x9554),x9554) % 0.80/1.06 [956]~P50(x9563)+~P9(x9563)+~P7(x9562,f3(x9563),x9563)+~P5(x9561,f12(x9564,x9562,x9563),x9563)+~P5(f12(x9564,x9562,x9563),x9561,x9563)+P5(f10(x9561,x9562,x9563),x9564,x9563) % 0.80/1.06 [957]~P50(x9573)+~P9(x9573)+~P7(x9572,f3(x9573),x9573)+~P7(x9571,f12(x9574,x9572,x9573),x9573)+~P7(f12(x9574,x9572,x9573),x9571,x9573)+P7(f10(x9571,x9572,x9573),x9574,x9573) % 0.80/1.06 [958]~P50(x9583)+~P9(x9583)+~P5(f3(x9583),x9584,x9583)+~P5(x9581,f12(x9584,x9582,x9583),x9583)+~P5(f12(x9584,x9582,x9583),x9581,x9583)+P5(f10(x9581,x9582,x9583),x9584,x9583) % 0.80/1.06 [959]~P50(x9593)+~P9(x9593)+~P7(f3(x9593),x9594,x9593)+~P7(x9591,f12(x9594,x9592,x9593),x9593)+~P7(f12(x9594,x9592,x9593),x9591,x9593)+P7(f10(x9591,x9592,x9593),x9594,x9593) % 0.80/1.06 [929]~P62(x9293)+~P5(x9292,x9295,x9293)+~P5(x9291,x9294,x9293)+~P5(f3(x9293),x9294,x9293)+~P5(f3(x9293),x9292,x9293)+P5(f12(x9291,x9292,x9293),f12(x9294,x9295,x9293),x9293) % 0.80/1.06 [930]~P62(x9303)+~P5(x9302,x9305,x9303)+~P5(x9301,x9304,x9303)+~P5(f3(x9303),x9302,x9303)+~P5(f3(x9303),x9301,x9303)+P5(f12(x9301,x9302,x9303),f12(x9304,x9305,x9303),x9303) % 0.80/1.06 [931]~P50(x9313)+~P5(x9315,x9312,x9313)+~P5(x9311,x9314,x9313)+~P5(f3(x9313),x9311,x9313)+~P7(f3(x9313),x9315,x9313)+P5(f10(x9311,x9312,x9313),f10(x9314,x9315,x9313),x9313) % 0.80/1.06 [932]~P56(x9323)+~P5(x9322,x9325,x9323)+~P7(x9321,x9324,x9323)+~P5(f3(x9323),x9321,x9323)+~P7(f3(x9323),x9322,x9323)+P7(f12(x9321,x9322,x9323),f12(x9324,x9325,x9323),x9323) % 0.80/1.06 [933]~P56(x9333)+~P5(x9331,x9334,x9333)+~P7(x9332,x9335,x9333)+~P5(f3(x9333),x9332,x9333)+~P7(f3(x9333),x9331,x9333)+P7(f12(x9331,x9332,x9333),f12(x9334,x9335,x9333),x9333) % 0.80/1.06 [934]~P56(x9343)+~P7(x9342,x9345,x9343)+~P7(x9341,x9344,x9343)+~P5(f3(x9343),x9342,x9343)+~P5(f3(x9343),x9341,x9343)+P7(f12(x9341,x9342,x9343),f12(x9344,x9345,x9343),x9343) % 0.80/1.06 [935]~P56(x9353)+~P7(x9352,x9355,x9353)+~P7(x9351,x9354,x9353)+~P5(f3(x9353),x9352,x9353)+~P7(f3(x9353),x9354,x9353)+P7(f12(x9351,x9352,x9353),f12(x9354,x9355,x9353),x9353) % 0.80/1.06 [936]~P50(x9363)+~P5(x9365,x9362,x9363)+~P7(x9361,x9364,x9363)+~P5(f3(x9363),x9361,x9363)+~P7(f3(x9363),x9365,x9363)+P7(f10(x9361,x9362,x9363),f10(x9364,x9365,x9363),x9363) % 0.80/1.06 [937]~P50(x9373)+~P5(x9371,x9374,x9373)+~P7(x9375,x9372,x9373)+~P7(f3(x9373),x9375,x9373)+~P7(f3(x9373),x9371,x9373)+P7(f10(x9371,x9372,x9373),f10(x9374,x9375,x9373),x9373) % 0.80/1.06 %EqnAxiom % 0.80/1.06 [1]E(x11,x11) % 0.80/1.06 [2]E(x22,x21)+~E(x21,x22) % 0.80/1.06 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.80/1.06 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 0.80/1.06 [5]~E(x51,x52)+E(f4(x51),f4(x52)) % 0.80/1.06 [6]~E(x61,x62)+E(f8(x61,x63,x64),f8(x62,x63,x64)) % 0.80/1.06 [7]~E(x71,x72)+E(f8(x73,x71,x74),f8(x73,x72,x74)) % 0.80/1.06 [8]~E(x81,x82)+E(f8(x83,x84,x81),f8(x83,x84,x82)) % 0.80/1.06 [9]~E(x91,x92)+E(f12(x91,x93,x94),f12(x92,x93,x94)) % 0.80/1.06 [10]~E(x101,x102)+E(f12(x103,x101,x104),f12(x103,x102,x104)) % 0.80/1.06 [11]~E(x111,x112)+E(f12(x113,x114,x111),f12(x113,x114,x112)) % 0.80/1.06 [12]~E(x121,x122)+E(f6(x121,x123,x124),f6(x122,x123,x124)) % 0.80/1.06 [13]~E(x131,x132)+E(f6(x133,x131,x134),f6(x133,x132,x134)) % 0.80/1.06 [14]~E(x141,x142)+E(f6(x143,x144,x141),f6(x143,x144,x142)) % 0.80/1.06 [15]~E(x151,x152)+E(f5(x151,x153),f5(x152,x153)) % 0.80/1.06 [16]~E(x161,x162)+E(f5(x163,x161),f5(x163,x162)) % 0.80/1.06 [17]~E(x171,x172)+E(f16(x171,x173,x174),f16(x172,x173,x174)) % 0.80/1.06 [18]~E(x181,x182)+E(f16(x183,x181,x184),f16(x183,x182,x184)) % 0.80/1.06 [19]~E(x191,x192)+E(f16(x193,x194,x191),f16(x193,x194,x192)) % 0.80/1.06 [20]~E(x201,x202)+E(f10(x201,x203,x204),f10(x202,x203,x204)) % 0.80/1.06 [21]~E(x211,x212)+E(f10(x213,x211,x214),f10(x213,x212,x214)) % 0.80/1.06 [22]~E(x221,x222)+E(f10(x223,x224,x221),f10(x223,x224,x222)) % 0.80/1.06 [23]~E(x231,x232)+E(f13(x231,x233),f13(x232,x233)) % 0.80/1.06 [24]~E(x241,x242)+E(f13(x243,x241),f13(x243,x242)) % 0.80/1.06 [25]~E(x251,x252)+E(f7(x251,x253,x254),f7(x252,x253,x254)) % 0.80/1.06 [26]~E(x261,x262)+E(f7(x263,x261,x264),f7(x263,x262,x264)) % 0.80/1.06 [27]~E(x271,x272)+E(f7(x273,x274,x271),f7(x273,x274,x272)) % 0.80/1.06 [28]~E(x281,x282)+E(f15(x281,x283,x284),f15(x282,x283,x284)) % 0.80/1.06 [29]~E(x291,x292)+E(f15(x293,x291,x294),f15(x293,x292,x294)) % 0.80/1.06 [30]~E(x301,x302)+E(f15(x303,x304,x301),f15(x303,x304,x302)) % 0.80/1.06 [31]~E(x311,x312)+E(f18(x311,x313,x314),f18(x312,x313,x314)) % 0.80/1.06 [32]~E(x321,x322)+E(f18(x323,x321,x324),f18(x323,x322,x324)) % 0.80/1.06 [33]~E(x331,x332)+E(f18(x333,x334,x331),f18(x333,x334,x332)) % 0.80/1.06 [34]~E(x341,x342)+E(f11(x341,x343),f11(x342,x343)) % 0.80/1.06 [35]~E(x351,x352)+E(f11(x353,x351),f11(x353,x352)) % 0.80/1.06 [36]~E(x361,x362)+E(f9(x361,x363),f9(x362,x363)) % 0.80/1.06 [37]~E(x371,x372)+E(f9(x373,x371),f9(x373,x372)) % 0.80/1.06 [38]~E(x381,x382)+E(f14(x381,x383,x384),f14(x382,x383,x384)) % 0.80/1.06 [39]~E(x391,x392)+E(f14(x393,x391,x394),f14(x393,x392,x394)) % 0.80/1.06 [40]~E(x401,x402)+E(f14(x403,x404,x401),f14(x403,x404,x402)) % 0.80/1.06 [41]~E(x411,x412)+E(f17(x411,x413,x414),f17(x412,x413,x414)) % 0.80/1.06 [42]~E(x421,x422)+E(f17(x423,x421,x424),f17(x423,x422,x424)) % 0.80/1.06 [43]~E(x431,x432)+E(f17(x433,x434,x431),f17(x433,x434,x432)) % 0.80/1.06 [44]~E(x441,x442)+E(f19(x441),f19(x442)) % 0.80/1.06 [45]~E(x451,x452)+E(f25(x451),f25(x452)) % 0.80/1.06 [46]~P1(x461)+P1(x462)+~E(x461,x462) % 0.80/1.06 [47]~P33(x471)+P33(x472)+~E(x471,x472) % 0.80/1.06 [48]~P48(x481)+P48(x482)+~E(x481,x482) % 0.80/1.06 [49]~P2(x491)+P2(x492)+~E(x491,x492) % 0.80/1.06 [50]~P60(x501)+P60(x502)+~E(x501,x502) % 0.80/1.06 [51]~P3(x511)+P3(x512)+~E(x511,x512) % 0.80/1.06 [52]P5(x522,x523,x524)+~E(x521,x522)+~P5(x521,x523,x524) % 0.80/1.06 [53]P5(x533,x532,x534)+~E(x531,x532)+~P5(x533,x531,x534) % 0.80/1.06 [54]P5(x543,x544,x542)+~E(x541,x542)+~P5(x543,x544,x541) % 0.80/1.06 [55]~P49(x551)+P49(x552)+~E(x551,x552) % 0.80/1.06 [56]~P50(x561)+P50(x562)+~E(x561,x562) % 0.80/1.06 [57]~P9(x571)+P9(x572)+~E(x571,x572) % 0.80/1.06 [58]P7(x582,x583,x584)+~E(x581,x582)+~P7(x581,x583,x584) % 0.80/1.06 [59]P7(x593,x592,x594)+~E(x591,x592)+~P7(x593,x591,x594) % 0.80/1.06 [60]P7(x603,x604,x602)+~E(x601,x602)+~P7(x603,x604,x601) % 0.80/1.06 [61]~P56(x611)+P56(x612)+~E(x611,x612) % 0.80/1.06 [62]~P11(x621)+P11(x622)+~E(x621,x622) % 0.80/1.06 [63]~P4(x631)+P4(x632)+~E(x631,x632) % 0.80/1.06 [64]~P45(x641)+P45(x642)+~E(x641,x642) % 0.80/1.06 [65]~P34(x651)+P34(x652)+~E(x651,x652) % 0.80/1.06 [66]~P39(x661)+P39(x662)+~E(x661,x662) % 0.80/1.06 [67]~P10(x671)+P10(x672)+~E(x671,x672) % 0.80/1.06 [68]~P24(x681)+P24(x682)+~E(x681,x682) % 0.80/1.06 [69]~P18(x691)+P18(x692)+~E(x691,x692) % 0.80/1.06 [70]~P62(x701)+P62(x702)+~E(x701,x702) % 0.80/1.06 [71]~P32(x711)+P32(x712)+~E(x711,x712) % 0.80/1.06 [72]~P43(x721)+P43(x722)+~E(x721,x722) % 0.80/1.06 [73]~P59(x731)+P59(x732)+~E(x731,x732) % 0.80/1.06 [74]~P46(x741)+P46(x742)+~E(x741,x742) % 0.80/1.06 [75]~P12(x751)+P12(x752)+~E(x751,x752) % 0.80/1.06 [76]~P13(x761)+P13(x762)+~E(x761,x762) % 0.80/1.06 [77]~P35(x771)+P35(x772)+~E(x771,x772) % 0.80/1.06 [78]~P28(x781)+P28(x782)+~E(x781,x782) % 0.80/1.06 [79]~P41(x791)+P41(x792)+~E(x791,x792) % 0.80/1.06 [80]P6(x802,x803,x804)+~E(x801,x802)+~P6(x801,x803,x804) % 0.80/1.06 [81]P6(x813,x812,x814)+~E(x811,x812)+~P6(x813,x811,x814) % 0.80/1.06 [82]P6(x823,x824,x822)+~E(x821,x822)+~P6(x823,x824,x821) % 0.80/1.06 [83]~P55(x831)+P55(x832)+~E(x831,x832) % 0.80/1.06 [84]~P19(x841)+P19(x842)+~E(x841,x842) % 0.80/1.06 [85]~P14(x851)+P14(x852)+~E(x851,x852) % 0.80/1.06 [86]~P42(x861)+P42(x862)+~E(x861,x862) % 0.80/1.06 [87]~P27(x871)+P27(x872)+~E(x871,x872) % 0.80/1.06 [88]~P23(x881)+P23(x882)+~E(x881,x882) % 0.80/1.06 [89]~P25(x891)+P25(x892)+~E(x891,x892) % 0.80/1.06 [90]~P26(x901)+P26(x902)+~E(x901,x902) % 0.80/1.06 [91]~P40(x911)+P40(x912)+~E(x911,x912) % 0.80/1.06 [92]~P51(x921)+P51(x922)+~E(x921,x922) % 0.80/1.06 [93]~P37(x931)+P37(x932)+~E(x931,x932) % 0.80/1.06 [94]~P57(x941)+P57(x942)+~E(x941,x942) % 0.80/1.06 [95]~P30(x951)+P30(x952)+~E(x951,x952) % 0.80/1.06 [96]~P29(x961)+P29(x962)+~E(x961,x962) % 0.80/1.06 [97]~P8(x971)+P8(x972)+~E(x971,x972) % 0.80/1.06 [98]~P38(x981)+P38(x982)+~E(x981,x982) % 0.80/1.06 [99]~P16(x991)+P16(x992)+~E(x991,x992) % 0.80/1.06 [100]~P61(x1001)+P61(x1002)+~E(x1001,x1002) % 0.80/1.06 [101]~P21(x1011)+P21(x1012)+~E(x1011,x1012) % 0.80/1.06 [102]~P64(x1021)+P64(x1022)+~E(x1021,x1022) % 0.80/1.06 [103]~P44(x1031)+P44(x1032)+~E(x1031,x1032) % 0.80/1.06 [104]~P31(x1041)+P31(x1042)+~E(x1041,x1042) % 0.80/1.06 [105]~P52(x1051)+P52(x1052)+~E(x1051,x1052) % 0.80/1.06 [106]~P53(x1061)+P53(x1062)+~E(x1061,x1062) % 0.80/1.06 [107]~P22(x1071)+P22(x1072)+~E(x1071,x1072) % 0.80/1.06 [108]~P54(x1081)+P54(x1082)+~E(x1081,x1082) % 0.80/1.06 [109]~P58(x1091)+P58(x1092)+~E(x1091,x1092) % 0.80/1.06 [110]~P63(x1101)+P63(x1102)+~E(x1101,x1102) % 0.80/1.06 [111]~P15(x1111)+P15(x1112)+~E(x1111,x1112) % 0.80/1.06 [112]~P20(x1121)+P20(x1122)+~E(x1121,x1122) % 0.80/1.06 [113]~P47(x1131)+P47(x1132)+~E(x1131,x1132) % 0.80/1.06 [114]~P36(x1141)+P36(x1142)+~E(x1141,x1142) % 0.80/1.06 [115]~P17(x1151)+P17(x1152)+~E(x1151,x1152) % 0.80/1.06 % 0.80/1.06 %------------------------------------------- % 0.80/1.06 cnf(1013,plain, % 0.80/1.06 ($false), % 0.80/1.06 inference(scs_inference,[],[245,242]), % 0.80/1.06 ['proof']). % 0.80/1.06 % SZS output end Proof % 0.80/1.06 % Total time :0.040000s %------------------------------------------------------------------------------