%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : ALG410-1 : TPTP v8.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Jun 24 03:41:39 EDT 2024 % Result : Unsatisfiable 0.63s 0.86s % Output : CNFRefutation 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.09 % Problem : ALG410-1 : TPTP v8.2.0. Released v4.1.0. % 0.05/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.09/0.29 % Computer : n015.cluster.edu % 0.09/0.29 % Model : x86_64 x86_64 % 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.29 % Memory : 8042.1875MB % 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.29 % CPULimit : 300 % 0.09/0.29 % WCLimit : 300 % 0.09/0.29 % DateTime : Wed Jun 19 17:43:08 EDT 2024 % 0.09/0.29 % CPUTime : % 0.15/0.53 start to proof:theBenchmark % 0.49/0.81 %------------------------------------------- % 0.49/0.81 % File :CSE---1.7 % 0.49/0.81 % Problem :theBenchmark % 0.49/0.81 % Transform :cnf % 0.49/0.81 % Format :tptp:raw % 0.49/0.81 % Command :java -jar mcs_scs.jar %d %s % 0.49/0.81 % 0.49/0.81 % Result :Theorem 0.030000s % 0.49/0.81 % Output :CNFRefutation 0.030000s % 0.49/0.81 %------------------------------------------- % 0.49/0.82 %------------------------------------------------------------------------------ % 0.49/0.82 % File : ALG410-1 : TPTP v8.2.0. Released v4.1.0. % 0.49/0.82 % Domain : General Algebra % 0.49/0.82 % Problem : Fundamental theorem of algebra 0754_44 % 0.49/0.82 % Version : Especial. % 0.49/0.82 % English : % 0.49/0.82 % 0.49/0.82 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.49/0.82 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.49/0.82 % Source : [Nip10] % 0.49/0.82 % Names : Fundamental_Theorem_Algebra-0754_44 [Nip10] % 0.49/0.82 % 0.49/0.82 % Status : Unsatisfiable % 0.49/0.82 % 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 v5.3.0, 0.11 v5.2.0, 0.06 v5.0.0, 0.07 v4.1.0 % 0.49/0.82 % Syntax : Number of clauses : 773 ( 127 unt; 142 nHn; 543 RR) % 0.49/0.82 % Number of literals : 2296 ( 374 equ;1385 neg) % 0.49/0.82 % Maximal clause size : 6 ( 2 avg) % 0.49/0.82 % Maximal term depth : 7 ( 1 avg) % 0.49/0.82 % Number of predicates : 59 ( 58 usr; 0 prp; 1-5 aty) % 0.49/0.82 % Number of functors : 25 ( 25 usr; 8 con; 0-3 aty) % 0.49/0.82 % Number of variables : 1939 ( 96 sgn) % 0.49/0.82 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.49/0.82 % 0.49/0.82 % Comments : % 0.49/0.82 %------------------------------------------------------------------------------ % 0.49/0.82 cnf(cls_mult__le__less__imp__less_0,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.49/0.82 | 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) % 0.49/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.49/0.82 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_divide__strict__left__mono__neg_0,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.49/0.82 | 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) % 0.49/0.82 | ~ 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) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_divide__strict__left__mono_0,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.49/0.82 | 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) % 0.49/0.82 | ~ 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) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_frac__le_0,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.49/0.82 | 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) % 0.49/0.82 | ~ c_lessequals(V_w,V_z,T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 0.49/0.82 | ~ c_lessequals(V_x,V_y,T_a) % 0.49/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_less__divide__eq_7,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.49/0.82 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.49/0.82 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.49/0.82 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_less__divide__eq_5,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.49/0.82 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.49/0.82 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.49/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_less__divide__eq_4,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.49/0.82 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.49/0.82 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.49/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_less__divide__eq_1,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.49/0.82 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.49/0.82 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.49/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_divide__less__eq_7,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.49/0.82 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.49/0.82 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.49/0.82 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_divide__less__eq_5,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.49/0.82 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.49/0.82 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.49/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_divide__less__eq_4,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.49/0.82 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.49/0.82 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.49/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_divide__less__eq_1,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.49/0.82 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.49/0.82 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.49/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_add__strict__increasing_0,axiom, % 0.49/0.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.49/0.82 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.49/0.82 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.49/0.82 | ~ c_lessequals(V_b,V_c,T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_mult__less__le__imp__less_0,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.49/0.82 | 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) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.49/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.49/0.82 | ~ c_lessequals(V_c,V_d,T_a) % 0.49/0.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.49/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.49/0.82 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 0.49/0.82 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.49/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_class__semiring_Oadd__0_0,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.49/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.49/0.82 | ~ class_Int_Onumber__ring(T_a) % 0.49/0.82 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 0.49/0.82 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.49/0.82 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_add__0__left_0,axiom, % 0.49/0.82 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.49/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 0.49/0.82 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.49/0.82 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_sgn__zero__iff_0,axiom, % 0.49/0.82 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.49/0.82 | c_HOL_Osgn__class_Osgn(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.49/0.82 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_sgn__0__0_0,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.49/0.82 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.49/0.82 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_divide_Ozero_0,axiom, % 0.49/0.82 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.49/0.82 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_divide__zero_0,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.49/0.82 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.49/0.82 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_divide__eq__eq_1,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.49/0.82 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.49/0.82 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_divide__zero__left_0,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.49/0.82 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_double__eq__0__iff_1,axiom, % 0.49/0.82 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.49/0.82 | 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) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_mod__0_0,axiom, % 0.49/0.82 ( ~ class_Divides_Osemiring__div(T_a) % 0.49/0.82 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.49/0.82 | ~ class_Int_Onumber__ring(T_a) % 0.49/0.82 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a) % 0.49/0.82 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_double__eq__0__iff_0,axiom, % 0.49/0.82 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.49/0.82 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.49/0.82 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_div__0_0,axiom, % 0.49/0.82 ( ~ class_Divides_Osemiring__div(T_a) % 0.49/0.82 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_div__by__0_0,axiom, % 0.49/0.82 ( ~ class_Divides_Osemiring__div(T_a) % 0.49/0.82 | c_Divides_Odiv__class_Odiv(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_no__zero__divirors__neq0_0,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.49/0.82 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.49/0.82 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.49/0.82 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_no__zero__divisors_0,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.49/0.82 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.49/0.82 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.49/0.82 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_mult__eq__0__iff_0,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.49/0.82 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.49/0.82 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.49/0.82 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.82 % 0.49/0.82 cnf(cls_divide__self__if_0,axiom, % 0.49/0.82 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.49/0.82 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.49/0.82 | 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) ) ). % 0.49/0.83 % 0.49/0.83 cnf(cls_dvd__0__left_0,axiom, % 0.49/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.49/0.83 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.49/0.83 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.49/0.83 % 0.49/0.83 cnf(cls_mod__by__0_0,axiom, % 0.49/0.83 ( ~ class_Divides_Osemiring__div(T_a) % 0.49/0.83 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.49/0.83 % 0.49/0.83 cnf(cls_mod__self_0,axiom, % 0.49/0.83 ( ~ class_Divides_Osemiring__div(T_a) % 0.49/0.83 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.83 % 0.49/0.83 cnf(cls_dvd__0__right_0,axiom, % 0.49/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.49/0.83 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.49/0.83 % 0.49/0.83 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom, % 0.49/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.49/0.83 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.83 % 0.49/0.83 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom, % 0.49/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.49/0.83 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.83 % 0.49/0.83 cnf(cls_mult__left_Ozero_0,axiom, % 0.49/0.83 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.49/0.83 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.83 % 0.49/0.83 cnf(cls_mult_Ozero__left_0,axiom, % 0.49/0.83 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.49/0.83 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.83 % 0.49/0.83 cnf(cls_mult_Ozero__right_0,axiom, % 0.49/0.83 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.49/0.83 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.83 % 0.49/0.83 cnf(cls_mult__right_Ozero_0,axiom, % 0.49/0.83 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.49/0.83 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.83 % 0.49/0.83 cnf(cls_class__semiring_Omul__0_0,axiom, % 0.49/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.49/0.83 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.83 % 0.49/0.83 cnf(cls_mult__zero__left_0,axiom, % 0.49/0.83 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.49/0.83 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.83 % 0.49/0.83 cnf(cls_mult__zero__right_0,axiom, % 0.49/0.83 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.49/0.83 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.83 % 0.49/0.83 cnf(cls_mult__eq__0__iff_1,axiom, % 0.49/0.83 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.49/0.83 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.83 % 0.49/0.83 cnf(cls_mult__eq__0__iff_2,axiom, % 0.49/0.83 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.49/0.83 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.83 % 0.49/0.83 cnf(cls_sgn__zero_0,axiom, % 0.49/0.83 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.49/0.83 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.83 % 0.49/0.83 cnf(cls_sgn0_0,axiom, % 0.49/0.83 ( ~ class_Ring__and__Field_Osgn__if(T_a) % 0.49/0.83 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.83 % 0.49/0.83 cnf(cls_sgn__0__0_1,axiom, % 0.49/0.83 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.49/0.83 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.49/0.83 % 0.49/0.83 cnf(cls_eq__divide__eq_2,axiom, % 0.49/0.83 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.49/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.49/0.83 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.49/0.83 % 0.49/0.83 cnf(cls_add__le__less__mono_0,axiom, % 0.49/0.83 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.49/0.83 | 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) % 0.49/0.83 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.49/0.83 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.49/0.83 % 0.52/0.83 cnf(cls_add__less__le__mono_0,axiom, % 0.52/0.83 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.52/0.83 | 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) % 0.52/0.83 | ~ c_lessequals(V_c,V_d,T_a) % 0.52/0.83 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_divide_Oadd_0,axiom, % 0.52/0.83 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.52/0.83 | 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) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_add__divide__distrib_0,axiom, % 0.52/0.83 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.83 | 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) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_divide__le__eq_9,axiom, % 0.52/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.83 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.52/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.83 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.52/0.83 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_le__divide__eq_9,axiom, % 0.52/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.83 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.52/0.83 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.83 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.52/0.83 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_dvd__mult__cancel__left_0,axiom, % 0.52/0.83 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.83 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) % 0.52/0.83 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.83 | ~ 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) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_dvd__mult__cancel__right_0,axiom, % 0.52/0.83 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.83 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) % 0.52/0.83 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.83 | ~ 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) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_mod__mult__self1_0,axiom, % 0.52/0.83 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.83 | 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) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_mod__mult__self2_0,axiom, % 0.52/0.83 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.83 | 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) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_dvd__div__mult__self_0,axiom, % 0.52/0.83 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.83 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),V_a,T_a) = V_b % 0.52/0.83 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_dvd__mult__div__cancel_0,axiom, % 0.52/0.83 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.83 | c_HOL_Otimes__class_Otimes(V_a,c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),T_a) = V_b % 0.52/0.83 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_mult__frac__num_0,axiom, % 0.52/0.83 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.83 | 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) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_mult__divide__mult__cancel__left_0,axiom, % 0.52/0.83 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.83 | 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) % 0.52/0.83 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_mult__divide__mult__cancel__right_0,axiom, % 0.52/0.83 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.83 | 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) % 0.52/0.83 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_mod__mult__left__eq_0,axiom, % 0.52/0.83 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.83 | 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) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_mod__mult__right__eq_0,axiom, % 0.52/0.83 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.83 | 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) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_dvd__div__mult_0,axiom, % 0.52/0.83 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.83 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),V_c,T_a) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),V_a,T_a) % 0.52/0.83 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_sum__squares__le__zero__iff_0,axiom, % 0.52/0.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.83 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.83 | ~ 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) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_sum__squares__le__zero__iff_1,axiom, % 0.52/0.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.83 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.83 | ~ 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) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_combine__common__factor_0,axiom, % 0.52/0.83 ( ~ class_Ring__and__Field_Osemiring(T_a) % 0.52/0.83 | 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) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_mod__poly__eq_0,axiom, % 0.52/0.83 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.83 | c_Divides_Odiv__class_Omod(V_x,V_y,tc_Polynomial_Opoly(T_a)) = V_r % 0.52/0.83 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q,V_r,T_a) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_zero__le__divide__iff_0,axiom, % 0.52/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.83 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_zero__le__divide__iff_1,axiom, % 0.52/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.83 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_zero__le__divide__iff_2,axiom, % 0.52/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.83 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_zero__le__divide__iff_3,axiom, % 0.52/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.83 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_mod__add__left__eq_0,axiom, % 0.52/0.83 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.83 | 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) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_mod__add__right__eq_0,axiom, % 0.52/0.83 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.83 | 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) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 0.52/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.83 | 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) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 0.52/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.83 | 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) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 0.52/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.83 | 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) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 0.52/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.83 | 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) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 0.52/0.83 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.52/0.83 | 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) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_add__cancel__21_1,axiom, % 0.52/0.83 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.83 | 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) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_class__semiring_Oadd__a_0,axiom, % 0.52/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.83 | 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) ) ). % 0.52/0.83 % 0.52/0.83 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 0.52/0.83 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.52/0.83 | 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) ) ). % 0.52/0.83 % 0.52/0.84 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.52/0.84 | 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) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mod__add__eq_0,axiom, % 0.52/0.84 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.84 | 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) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.84 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_class__semiring_Omul__c_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.84 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_add__nonneg__eq__0__iff_2,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | 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) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_class__ringb_Onoteq__reduce_1,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.84 | ~ class_Int_Onumber__ring(T_a) % 0.52/0.84 | 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) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.84 | ~ class_Int_Onumber__ring(T_a) % 0.52/0.84 | 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) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_pdivmod__rel_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.84 | c_Polynomial_Opdivmod__rel(V_x,V_y,c_Divides_Odiv__class_Odiv(V_x,V_y,tc_Polynomial_Opoly(T_a)),c_Divides_Odiv__class_Omod(V_x,V_y,tc_Polynomial_Opoly(T_a)),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_dvdI_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Odvd(T_a) % 0.52/0.84 | c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_dvd__triv__left_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.84 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_dvd__triv__right_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.84 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__left__mono_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | 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) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.84 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__left__mono__neg_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | 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) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.52/0.84 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_zmod__simps_I4_J_0,axiom, % 0.52/0.84 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.84 | 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) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_div__add_0,axiom, % 0.52/0.84 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.84 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(V_x,V_z,T_a),c_Divides_Odiv__class_Odiv(V_y,V_z,T_a),T_a) % 0.52/0.84 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,T_a) % 0.52/0.84 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_add__increasing_0,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.52/0.84 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.52/0.84 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.52/0.84 | ~ c_lessequals(V_b,V_c,T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_add__increasing2_0,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.52/0.84 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.52/0.84 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.52/0.84 | ~ c_lessequals(V_b,V_a,T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__le__0__iff_4,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__le__0__iff_5,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.84 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_dvd__mod_0,axiom, % 0.52/0.84 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.84 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) % 0.52/0.84 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) % 0.52/0.84 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_add__pos__nonneg_0,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.52/0.84 | 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) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_add__nonneg__pos_0,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.52/0.84 | 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) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__nonpos__neg_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__nonneg__pos_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_less__divide__eq_9,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_less__divide__eq_8,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__less__eq_9,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__less__eq_8,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_sum__squares__gt__zero__iff_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.84 | ~ 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) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_frac__less_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | 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) % 0.52/0.84 | ~ c_lessequals(V_w,V_z,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__strict__mono_H_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.84 | 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) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__nonpos__pos_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.52/0.84 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__nonneg__neg_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__imp__less__div__pos_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__imp__div__pos__less_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_less__divide__eq_6,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_less__divide__eq_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__less__eq_6,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__less__eq_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_add__nonpos__neg_0,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.52/0.84 | 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) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_add__neg__nonpos_0,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.52/0.84 | 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) % 0.52/0.84 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_not__sum__squares__lt__zero_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__less__imp__less__right_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.84 | ~ 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) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__less__imp__less__left_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.84 | ~ 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) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__right__less__imp__less_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.84 | ~ 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) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__left__less__imp__less_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.84 | ~ 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) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__strict__mono_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.84 | 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) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_frac__less2_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | 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) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_w,V_z,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 0.52/0.84 | ~ c_lessequals(V_x,V_y,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_add__strict__increasing2_0,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.52/0.84 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__right__le__imp__le_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.84 | c_lessequals(V_a,V_b,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.84 | ~ 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) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__left__le__imp__le_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.84 | c_lessequals(V_a,V_b,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.84 | ~ 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) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__le__cancel__left__pos_1,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.84 | 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) % 0.52/0.84 | ~ c_lessequals(V_a,V_b,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__le__cancel__left__pos_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.84 | c_lessequals(V_a,V_b,T_a) % 0.52/0.84 | ~ 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) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__le__cancel__left__neg_1,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.84 | 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) % 0.52/0.84 | ~ c_lessequals(V_b,V_a,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__le__cancel__left__neg_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.84 | c_lessequals(V_b,V_a,T_a) % 0.52/0.84 | ~ 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) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_sum__squares__gt__zero__iff_2,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.84 | 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) % 0.52/0.84 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_sum__squares__gt__zero__iff_1,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.84 | 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) % 0.52/0.84 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_le__divide__eq_3,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.52/0.84 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_le__divide__eq_2,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.84 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__le__eq_3,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__le__eq_2,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_xt1_I7_J_0,axiom, % 0.52/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.52/0.84 | ~ c_lessequals(V_z,V_y,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_xt1_I8_J_0,axiom, % 0.52/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.52/0.84 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_order__less__le__trans_0,axiom, % 0.52/0.84 ( ~ class_Orderings_Opreorder(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.52/0.84 | ~ c_lessequals(V_y,V_z,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_order__le__less__trans_0,axiom, % 0.52/0.84 ( ~ class_Orderings_Opreorder(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.52/0.84 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_add__strict__right__mono_0,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.52/0.84 | 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) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_add__less__cancel__right_1,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.52/0.84 | 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) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_add__less__cancel__right_0,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.84 | ~ 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) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_add__strict__left__mono_0,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.52/0.84 | 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) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_add__less__cancel__left_1,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.52/0.84 | 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) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_add__less__cancel__left_0,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.84 | ~ 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) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_order__less__imp__le_0,axiom, % 0.52/0.84 ( ~ class_Orderings_Opreorder(T_a) % 0.52/0.84 | c_lessequals(V_x,V_y,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_order__le__less_1,axiom, % 0.52/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.52/0.84 | c_lessequals(V_x,V_y,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_add__strict__mono_0,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.52/0.84 | 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) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_less__le__not__le_2,axiom, % 0.52/0.84 ( ~ class_Orderings_Opreorder(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.52/0.84 | c_lessequals(V_y,V_x,T_a) % 0.52/0.84 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__less__cancel__right__disj_3,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.84 | ~ 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) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__less__cancel__left__disj_3,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.84 | ~ 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) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_xt1_I11_J_0,axiom, % 0.52/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.52/0.84 | V_a = V_b % 0.52/0.84 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_xt1_I12_J_0,axiom, % 0.52/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.52/0.84 | ~ c_lessequals(V_b,V_a,T_a) % 0.52/0.84 | V_a = V_b ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_linorder__antisym__conv2_0,axiom, % 0.52/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.52/0.84 | V_x = V_y % 0.52/0.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.52/0.84 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_linorder__antisym__conv1_0,axiom, % 0.52/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.52/0.84 | V_x = V_y % 0.52/0.84 | ~ c_lessequals(V_x,V_y,T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_order__neq__le__trans_0,axiom, % 0.52/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.84 | ~ c_lessequals(V_a,V_b,T_a) % 0.52/0.84 | V_a = V_b ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_order__le__neq__trans_0,axiom, % 0.52/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.84 | V_a = V_b % 0.52/0.84 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_order__le__less_0,axiom, % 0.52/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.52/0.84 | V_x = V_y % 0.52/0.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.52/0.84 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_order__less__le_2,axiom, % 0.52/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.52/0.84 | V_x = V_y % 0.52/0.84 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_less__le__not__le_1,axiom, % 0.52/0.84 ( ~ class_Orderings_Opreorder(T_a) % 0.52/0.84 | ~ c_lessequals(V_y,V_x,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_not__leE_0,axiom, % 0.52/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.52/0.84 | c_lessequals(V_y,V_x,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_linorder__antisym__conv2_1,axiom, % 0.52/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.52/0.84 | ~ c_lessequals(V_x,V_x,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_linorder__antisym__conv1_1,axiom, % 0.52/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_x,V_x,T_a) % 0.52/0.84 | c_lessequals(V_x,V_x,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_linorder__not__less_1,axiom, % 0.52/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.52/0.84 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_linorder__not__less_0,axiom, % 0.52/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.52/0.84 | c_lessequals(V_y,V_x,T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_linorder__not__le_0,axiom, % 0.52/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.52/0.84 | c_lessequals(V_x,V_y,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_linorder__not__le_1,axiom, % 0.52/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.52/0.84 | ~ c_lessequals(V_x,V_y,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__right__le__one__le_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.84 | c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a) % 0.52/0.84 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__left__le__one__le_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.84 | c_lessequals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a) % 0.52/0.84 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_div__add__self2_0,axiom, % 0.52/0.84 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.84 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.52/0.84 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_div__add__self1_0,axiom, % 0.52/0.84 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.84 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(V_b,V_a,T_a),V_b,T_a) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.52/0.84 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__le__0__1__iff_1,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__le__0__1__iff_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_zero__le__divide__1__iff_1,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_zero__le__divide__1__iff_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_less__half__sum_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_gt__half__sum_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a),V_b,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__1_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.84 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_one__dvd_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.84 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__1__right_0,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.52/0.84 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__1__left_0,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.52/0.84 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__1_0,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 0.52/0.84 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_class__semiring_Omul__1_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.84 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.84 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.84 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_sgn__one_0,axiom, % 0.52/0.84 ( ~ class_RealVector_Oreal__normed__algebra__1(T_a) % 0.52/0.84 | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_div__by__1_0,axiom, % 0.52/0.84 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.84 | c_Divides_Odiv__class_Odiv(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_norm__sgn_0,axiom, % 0.52/0.84 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.52/0.84 | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_norm__le__zero__iff_1,axiom, % 0.52/0.84 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.52/0.84 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_norm__le__zero__iff_0,axiom, % 0.52/0.84 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.52/0.84 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.84 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_division__ring__inverse__add_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.52/0.84 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) % 0.52/0.84 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_inverse__add_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.84 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) % 0.52/0.84 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_real__less__def_0,axiom, % 0.52/0.84 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_real__less__def_2,axiom, % 0.52/0.84 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 0.52/0.84 | V_x = V_y % 0.52/0.84 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_dvd__mod__iff_0,axiom, % 0.52/0.84 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.84 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) % 0.52/0.84 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) % 0.52/0.84 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_dvd__mod__iff_1,axiom, % 0.52/0.84 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.84 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) % 0.52/0.84 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) % 0.52/0.84 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_dvd__mod__imp__dvd_0,axiom, % 0.52/0.84 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.84 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) % 0.52/0.84 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) % 0.52/0.84 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_sum__squares__ge__zero_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.84 | 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) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__le__eq_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__le__eq_6,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.84 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_le__divide__eq_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.84 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_le__divide__eq_6,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__imp__div__pos__le_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) % 0.52/0.84 | ~ c_lessequals(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_mult__imp__le__div__pos_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | c_lessequals(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_add__nonneg__eq__0__iff_0,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.52/0.84 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.52/0.84 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_add__nonneg__eq__0__iff_1,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.52/0.84 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.52/0.84 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__le__eq_8,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.52/0.84 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_le__divide__eq_8,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.52/0.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.84 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.52/0.84 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_div__mult__self1__is__id_0,axiom, % 0.52/0.84 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.84 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),V_b,T_a) = V_a % 0.52/0.84 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_div__mult__self2__is__id_0,axiom, % 0.52/0.84 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.84 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_b,T_a) = V_a % 0.52/0.84 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_sum__squares__le__zero__iff_2,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.84 | 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) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.84 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),c_HOL_Otimes__class_Otimes(V_ly,V_ry,T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.84 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.84 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_ry,T_a),T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__eq__eq_3,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a % 0.52/0.84 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_eq__divide__eq_3,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.84 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) % 0.52/0.84 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_divide__eq__imp_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.84 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.84 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_eq__divide__imp_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.84 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.84 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_real__le__antisym_0,axiom, % 0.52/0.84 ( V_z = V_w % 0.52/0.84 | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal) % 0.52/0.84 | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_order__antisym_0,axiom, % 0.52/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.52/0.84 | V_x = V_y % 0.52/0.84 | ~ c_lessequals(V_y,V_x,T_a) % 0.52/0.84 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_order__eq__iff_2,axiom, % 0.52/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.52/0.84 | V_x = V_y % 0.52/0.84 | ~ c_lessequals(V_y,V_x,T_a) % 0.52/0.84 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_order__antisym__conv_0,axiom, % 0.52/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.52/0.84 | V_x = V_y % 0.52/0.84 | ~ c_lessequals(V_x,V_y,T_a) % 0.52/0.84 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_pdivmod__rel__unique_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.84 | V_q1 = V_q2 % 0.52/0.84 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q2,V_r2,T_a) % 0.52/0.84 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q1,V_r1,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_pdivmod__rel__unique_1,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.84 | V_r1 = V_r2 % 0.52/0.84 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q2,V_r2,T_a) % 0.52/0.84 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q1,V_r1,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_dvd__refl_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.84 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_dvd__trans_0,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.84 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 0.52/0.84 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a) % 0.52/0.84 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_dvd__mult__cancel__left_1,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.84 | 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) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_dvd__mult__cancel__right_1,axiom, % 0.52/0.84 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.84 | 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) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_add__left__mono_0,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.52/0.84 | 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) % 0.52/0.84 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_add__right__mono_0,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.52/0.84 | 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) % 0.52/0.84 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.52/0.84 % 0.52/0.84 cnf(cls_add__le__cancel__left_0,axiom, % 0.52/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.52/0.84 | c_lessequals(V_a,V_b,T_a) % 0.52/0.85 | ~ 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_add__le__cancel__left_1,axiom, % 0.52/0.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_add__le__cancel__right_0,axiom, % 0.52/0.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.52/0.85 | c_lessequals(V_a,V_b,T_a) % 0.52/0.85 | ~ 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_add__le__cancel__right_1,axiom, % 0.52/0.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__frac__frac_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__left__idem_0,axiom, % 0.52/0.85 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_div__mult__div__if__dvd_0,axiom, % 0.52/0.85 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.85 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_x,V_y,T_a),c_Divides_Odiv__class_Odiv(V_w,V_z,T_a),T_a) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_x,V_w,T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) % 0.52/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_w,T_a) % 0.52/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_pdivmod__rel__by__0__iff_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | V_r = V_x % 0.52/0.85 | ~ c_Polynomial_Opdivmod__rel(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,V_r,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_div__mult__mult1__if_0,axiom, % 0.52/0.85 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.85 | c_Divides_Odiv__class_Odiv(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) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mod__add__self1_0,axiom, % 0.52/0.85 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mod__add__self2_0,axiom, % 0.52/0.85 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__le__0__iff_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__le__0__iff_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__le__0__iff_2,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__le__0__iff_3,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_dvd__mult_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.85 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.52/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_dvd__mult2_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.85 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.52/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_dvd__mult__left_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.85 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 0.52/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_dvd__mult__right_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.85 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a) % 0.52/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__mono1_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Omult__mono1(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__left__mono_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__right__mono_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__left__mono__neg_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.85 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__right__mono__neg_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.52/0.85 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.85 | ~ class_Int_Onumber__ring(T_a) % 0.52/0.85 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,T_a),T_a) % 0.52/0.85 | V_c = V_d % 0.52/0.85 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_sum__squares__eq__zero__iff_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.85 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_sum__squares__eq__zero__iff_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.85 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__idem_0,axiom, % 0.52/0.85 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.52/0.85 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_pdivmod__rel__def_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | ~ c_Polynomial_Opdivmod__rel(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,V_r,T_a) % 0.52/0.85 | V_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_pdivmod__rel__0__iff_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | V_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.52/0.85 | ~ c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_y,V_q,V_r,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_pdivmod__rel__0__iff_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | V_r = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.52/0.85 | ~ c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_y,V_q,V_r,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_pdivmod__rel__by__0__iff_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | V_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.52/0.85 | ~ c_Polynomial_Opdivmod__rel(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,V_r,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_INVERSE__ZERO_0,axiom, % 0.52/0.85 c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zmod__simps_I2_J_0,axiom, % 0.52/0.85 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zmod__simps_I1_J_0,axiom, % 0.52/0.85 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mod__div__decomp_0,axiom, % 0.52/0.85 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.85 | V_a = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),V_b,T_a),c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mod__div__equality_0,axiom, % 0.52/0.85 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.85 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),V_b,T_a),c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a) = V_a ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mod__div__equality2_0,axiom, % 0.52/0.85 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.85 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),T_a),c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a) = V_a ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__right__mono_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__right__mono__neg_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_smult__dvd__iff_4,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) % 0.52/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_split__mult__pos__le_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_split__mult__pos__le_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.52/0.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__nonpos__nonpos_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.52/0.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zero__le__square_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zero__le__mult__iff_4,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zero__le__mult__iff_5,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.52/0.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__nonneg__nonneg_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom, % 0.52/0.85 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_class__semiring_Omul__a_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__right_Oadd_0,axiom, % 0.52/0.85 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult_Oadd__right_0,axiom, % 0.52/0.85 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__left_Oadd_0,axiom, % 0.52/0.85 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult_Oadd__left_0,axiom, % 0.52/0.85 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_class__semiring_Omul__d_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_comm__semiring__class_Odistrib_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zero__le__mult__iff_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zero__le__mult__iff_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zero__le__mult__iff_2,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_real__inverse__gt__one_0,axiom, % 0.52/0.85 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_smult__dvd__iff_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.85 | V_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_smult__dvd__iff_3,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_Bseq__inverse__lemma_0,axiom, % 0.52/0.85 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a) % 0.52/0.85 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_r,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_r,tc_RealDef_Oreal) % 0.52/0.85 | ~ c_lessequals(V_r,c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_real__zero__not__eq__one_0,axiom, % 0.52/0.85 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_inverse__mult__distrib_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_inverse__divide_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_b,V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_smult__0__right_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.85 | c_Polynomial_Osmult(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_smult__eq__0__iff_2,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.85 | c_Polynomial_Osmult(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mod__smult__left_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | c_Divides_Odiv__class_Omod(c_Polynomial_Osmult(V_a,V_x,T_a),V_y,tc_Polynomial_Opoly(T_a)) = c_Polynomial_Osmult(V_a,c_Divides_Odiv__class_Omod(V_x,V_y,tc_Polynomial_Opoly(T_a)),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_pdivmod__rel__smult__left_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | c_Polynomial_Opdivmod__rel(c_Polynomial_Osmult(V_a,V_x,T_a),V_y,c_Polynomial_Osmult(V_a,V_q,T_a),c_Polynomial_Osmult(V_a,V_r,T_a),T_a) % 0.52/0.85 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q,V_r,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_div__smult__left_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | c_Divides_Odiv__class_Odiv(c_Polynomial_Osmult(V_a,V_x,T_a),V_y,tc_Polynomial_Opoly(T_a)) = c_Polynomial_Osmult(V_a,c_Divides_Odiv__class_Odiv(V_x,V_y,tc_Polynomial_Opoly(T_a)),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_smult__dvd__cancel_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.85 | c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_dvd__smult_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.85 | c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) % 0.52/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_smult__smult_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.85 | c_Polynomial_Osmult(V_a,c_Polynomial_Osmult(V_b,V_p,T_a),T_a) = c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_p,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__less__cancel__right__disj_2,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__less__cancel__right__disj_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__less__cancel__left__disj_2,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__less__cancel__left__disj_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__less__0__iff_5,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__less__0__iff_4,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__pos__neg_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__neg__pos_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_add__pos__pos_0,axiom, % 0.52/0.85 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_not__square__less__zero_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | ~ 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__strict__right__mono__neg_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__strict__right__mono_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_Rational_Oordered__idom__class_Osgn__less_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_Rational_Oordered__idom__class_Osgn__less_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zero__less__divide__iff_5,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zero__less__divide__iff_4,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__pos__pos_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__neg__neg_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__less__cancel__right__disj_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__less__cancel__left__disj_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_less__divide__eq_3,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_less__divide__eq_2,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__less__eq_3,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__less__eq_2,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom, % 0.52/0.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom, % 0.52/0.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.85 | ~ 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zero__less__divide__iff_3,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | ~ 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zero__less__divide__iff_2,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | ~ 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zero__less__divide__iff_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.85 | ~ 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zero__less__divide__iff_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.85 | ~ 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_pos__add__strict_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__pos__neg2_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__pos__neg_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__neg__pos_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zero__less__mult__pos2_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.85 | ~ 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zero__less__mult__pos_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.85 | ~ 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__pos__pos_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__neg__neg_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom, % 0.52/0.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom, % 0.52/0.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_even__less__0__iff_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_even__less__0__iff_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_Rational_Oordered__idom__class_Osgn__greater_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_Rational_Oordered__idom__class_Osgn__greater_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_add__neg__neg_0,axiom, % 0.52/0.85 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__less__0__iff_3,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__less__0__iff_2,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__less__0__iff_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.85 | ~ 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__less__0__iff_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.85 | ~ 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__strict__left__mono__comm_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__less__cancel__right__disj_5,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__less__cancel__right__disj_4,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__strict__right__mono_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__strict__right__mono__neg_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__less__cancel__left__disj_5,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__less__cancel__left__disj_4,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__strict__left__mono_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__strict__left__mono__neg_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__less__cancel__left__pos_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__less__cancel__left__pos_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__less__cancel__left__neg_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__less__cancel__left__neg_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_not__one__le__zero_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mod__by__1_0,axiom, % 0.52/0.85 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.85 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zero__le__one_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_div__self_0,axiom, % 0.52/0.85 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.85 | c_Divides_Odiv__class_Odiv(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.52/0.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_right__inverse__eq_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a) % 0.52/0.85 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.85 | V_a = V_b ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_right__inverse__eq_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.85 | c_HOL_Oinverse__class_Odivide(V_x,V_x,T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__self_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.52/0.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__self__if_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.52/0.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_less__add__one_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_less__1__mult_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_m,V_n,T_a),T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a) % 0.52/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_norm__zero_0,axiom, % 0.52/0.85 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.52/0.85 | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_norm__eq__zero_0,axiom, % 0.52/0.85 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.52/0.85 | c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.52/0.85 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_inverse__nonnegative__iff__nonnegative_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_inverse__nonnegative__iff__nonnegative_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_nonzero__inverse__mult__distrib_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.52/0.85 | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.52/0.85 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_inverse__nonpositive__iff__nonpositive_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_inverse__nonpositive__iff__nonpositive_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_one__le__inverse__iff_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_inverse__le__1__iff_2,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_inverse__unique_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.52/0.85 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a) % 0.52/0.85 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = V_b ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_inverse__eq__divide_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_class__fieldgb_Oinverse__divide_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | ~ class_Int_Onumber__ring(T_a) % 0.52/0.85 | c_HOL_Oinverse__class_Oinverse(V_x,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_poly__0_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.85 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zero__le__mult__iff_3,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_q_I1_J_0,axiom, % 0.52/0.85 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v_q____,tc_Complex_Ocomplex) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v_pa____,tc_Complex_Ocomplex) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__mono_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | ~ c_lessequals(V_c,V_d,T_a) % 0.52/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__mono_H_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.85 | ~ c_lessequals(V_c,V_d,T_a) % 0.52/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_div__mult__mult1_0,axiom, % 0.52/0.85 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.85 | c_Divides_Odiv__class_Odiv(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_Divides_Odiv__class_Odiv(V_a,V_b,T_a) % 0.52/0.85 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_div__mult__mult2_0,axiom, % 0.52/0.85 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.85 | c_Divides_Odiv__class_Odiv(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_Divides_Odiv__class_Odiv(V_a,V_b,T_a) % 0.52/0.85 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_sgn__sgn_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.85 | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) = c_HOL_Osgn__class_Osgn(V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_norm__ge__zero_0,axiom, % 0.52/0.85 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_dvd__add_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.85 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 0.52/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 0.52/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_add__frac__num_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_add__num__frac_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_div__dvd__div_0,axiom, % 0.52/0.85 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.85 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a) % 0.52/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),c_Divides_Odiv__class_Odiv(V_c,V_a,T_a),T_a) % 0.52/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 0.52/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_div__dvd__div_1,axiom, % 0.52/0.85 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.85 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),c_Divides_Odiv__class_Odiv(V_c,V_a,T_a),T_a) % 0.52/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a) % 0.52/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 0.52/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.85 | ~ class_Int_Onumber__ring(T_a) % 0.52/0.85 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) % 0.52/0.85 | V_y = V_z ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_add__imp__eq_0,axiom, % 0.52/0.85 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 0.52/0.85 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 0.52/0.85 | V_b = V_c ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_add__left__cancel_0,axiom, % 0.52/0.85 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.52/0.85 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 0.52/0.85 | V_b = V_c ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_add__right__cancel_0,axiom, % 0.52/0.85 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.52/0.85 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) % 0.52/0.85 | V_b = V_c ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__le__0__iff_4,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__le__0__iff_5,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_split__mult__neg__le_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_split__mult__neg__le_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__nonneg__nonpos_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__nonpos__nonneg_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mult__nonneg__nonpos2_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_pdivmod__rel__0_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_y,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_dvd__imp__mod__0_0,axiom, % 0.52/0.85 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.85 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_dvd__eq__mod__eq__0_1,axiom, % 0.52/0.85 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.85 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.85 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__le__eq_5,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__le__eq_7,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_le__divide__eq_5,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.52/0.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_le__divide__eq_7,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.52/0.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_add__cancel__21_0,axiom, % 0.52/0.85 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_add__nonneg__nonneg_0,axiom, % 0.52/0.85 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_add__mono_0,axiom, % 0.52/0.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_lessequals(V_c,V_d,T_a) % 0.52/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom, % 0.52/0.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom, % 0.52/0.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mod__mod__trivial_0,axiom, % 0.52/0.85 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.85 | 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) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_dvd__mult__cancel__left_2,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_dvd__mult__cancel__right_2,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.85 | 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) % 0.52/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_div__mod__equality_0,axiom, % 0.52/0.85 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.85 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),V_b,T_a),c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_div__mod__equality2_0,axiom, % 0.52/0.85 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.85 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),T_a),c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_pdivmod__rel__by__0_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.85 | c_Polynomial_Opdivmod__rel(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.85 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_class__semiring_Oadd__c_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.85 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 0.52/0.85 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.52/0.85 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__le__0__iff_0,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__le__0__iff_1,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__le__0__iff_2,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_divide__le__0__iff_3,axiom, % 0.52/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.85 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.85 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.85 % 0.52/0.85 cnf(cls_mod__div__trivial_0,axiom, % 0.52/0.86 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.86 | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_mod__mult__eq_0,axiom, % 0.52/0.86 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.86 | 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) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_div__mult__self1_0,axiom, % 0.52/0.86 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.86 | c_Divides_Odiv__class_Odiv(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_HOL_Oplus__class_Oplus(V_c,c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),T_a) % 0.52/0.86 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_div__mult__self2_0,axiom, % 0.52/0.86 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.86 | c_Divides_Odiv__class_Odiv(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_HOL_Oplus__class_Oplus(V_c,c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),T_a) % 0.52/0.86 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.86 | c_HOL_Oplus__class_Oplus(V_m,V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_div__poly__eq_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.86 | c_Divides_Odiv__class_Odiv(V_x,V_y,tc_Polynomial_Opoly(T_a)) = V_q % 0.52/0.86 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q,V_r,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_eq__divide__eq_4,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.86 | 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) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_mod__add__cong_0,axiom, % 0.52/0.86 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.86 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a) % 0.52/0.86 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a) % 0.52/0.86 | 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) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_class__ringb_Onoteq__reduce_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.86 | ~ class_Int_Onumber__ring(T_a) % 0.52/0.86 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_d,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.52/0.86 | V_c = V_d % 0.52/0.86 | V_a = V_b ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.86 | ~ class_Int_Onumber__ring(T_a) % 0.52/0.86 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) % 0.52/0.86 | V_y = V_z % 0.52/0.86 | V_w = V_x ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_mod__mult__cong_0,axiom, % 0.52/0.86 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.86 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a) % 0.52/0.86 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a) % 0.52/0.86 | 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) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_add__frac__eq_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.86 | 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) % 0.52/0.86 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.86 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_divide__eq__eq_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.86 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) % 0.52/0.86 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_eq__divide__eq_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.86 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b % 0.52/0.86 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.86 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.86 | c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_zero__le__divide__iff_4,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 0.52/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_zero__le__divide__iff_5,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 0.52/0.86 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_divide__inverse_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.86 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_class__fieldgb_Odivide__inverse_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.86 | ~ class_Int_Onumber__ring(T_a) % 0.52/0.86 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oinverse__class_Oinverse(V_y,T_a),T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_mod__mod__cancel_0,axiom, % 0.52/0.86 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.86 | 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) % 0.52/0.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_b,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom, % 0.52/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.52/0.86 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.86 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom, % 0.52/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.52/0.86 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_mult__dvd__mono_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.86 | 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) % 0.52/0.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a) % 0.52/0.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_divide__le__eq_1,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.86 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.52/0.86 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.86 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_divide__le__eq_4,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.86 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.52/0.86 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.86 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.52/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_le__divide__eq_1,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.86 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.52/0.86 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.86 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_le__divide__eq_4,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.86 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.52/0.86 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.86 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.52/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_order__eq__refl_0,axiom, % 0.52/0.86 ( ~ class_Orderings_Opreorder(T_a) % 0.52/0.86 | c_lessequals(V_x,V_x,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_order__eq__iff_0,axiom, % 0.52/0.86 ( ~ class_Orderings_Oorder(T_a) % 0.52/0.86 | c_lessequals(V_x,V_x,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_real__le__trans_0,axiom, % 0.52/0.86 ( c_lessequals(V_i,V_k,tc_RealDef_Oreal) % 0.52/0.86 | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal) % 0.52/0.86 | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_real__le__refl_0,axiom, % 0.52/0.86 c_lessequals(V_w,V_w,tc_RealDef_Oreal) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_le__add__right__mono_0,axiom, % 0.52/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.52/0.86 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 0.52/0.86 | ~ c_lessequals(V_c,V_d,T_a) % 0.52/0.86 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_order__trans_0,axiom, % 0.52/0.86 ( ~ class_Orderings_Opreorder(T_a) % 0.52/0.86 | c_lessequals(V_x,V_z,T_a) % 0.52/0.86 | ~ c_lessequals(V_y,V_z,T_a) % 0.52/0.86 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_add__nonpos__nonpos_0,axiom, % 0.52/0.86 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.52/0.86 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.86 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_xt1_I6_J_0,axiom, % 0.52/0.86 ( ~ class_Orderings_Oorder(T_a) % 0.52/0.86 | c_lessequals(V_z,V_x,T_a) % 0.52/0.86 | ~ c_lessequals(V_z,V_y,T_a) % 0.52/0.86 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_mod__mult__self1__is__0_0,axiom, % 0.52/0.86 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.86 | 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) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_mod__mult__self2__is__0_0,axiom, % 0.52/0.86 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.86 | 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) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_semiring__div__class_Omod__div__equality_H_0,axiom, % 0.52/0.86 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.86 | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),V_b,T_a),T_a) = V_a ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_sum__squares__eq__zero__iff_2,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.86 | 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) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_frac__eq__eq_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.86 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) != c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) % 0.52/0.86 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.86 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.86 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) = c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_frac__eq__eq_1,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.86 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) != c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) % 0.52/0.86 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.86 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.86 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_sgn__mult_0,axiom, % 0.52/0.86 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a) % 0.52/0.86 | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_x,T_a),c_HOL_Osgn__class_Osgn(V_y,T_a),T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_sgn__times_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.86 | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Osgn__class_Osgn(V_b,T_a),T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_mod__mult__mult1_0,axiom, % 0.52/0.86 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.86 | 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) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_mod__mult__mult2_0,axiom, % 0.52/0.86 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.86 | 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) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_divide__eq__eq_4,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.86 | 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) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_linorder__linear_0,axiom, % 0.52/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.52/0.86 | c_lessequals(V_y,V_x,T_a) % 0.52/0.86 | c_lessequals(V_x,V_y,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_real__le__linear_0,axiom, % 0.52/0.86 ( c_lessequals(V_w,V_z,tc_RealDef_Oreal) % 0.52/0.86 | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_order__root_1,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.86 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_poly__decompose__lemma_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oidom(t_a) % 0.52/0.86 | v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2(V_p) != c_HOL_Ozero__class_Ozero(t_a) % 0.52/0.86 | c_Polynomial_Opoly(V_p,V_z,t_a) = c_HOL_Ozero__class_Ozero(t_a) % 0.52/0.86 | V_z = c_HOL_Ozero__class_Ozero(t_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_norm__not__less__zero_0,axiom, % 0.52/0.86 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.52/0.86 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_smult__0__left_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.86 | c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_smult__eq__0__iff_1,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.86 | c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_mod__smult__right_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.86 | c_Divides_Odiv__class_Omod(V_x,c_Polynomial_Osmult(V_a,V_y,T_a),tc_Polynomial_Opoly(T_a)) = c_Divides_Odiv__class_Omod(V_x,V_y,tc_Polynomial_Opoly(T_a)) % 0.52/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_smult__eq__0__iff_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.86 | c_Polynomial_Osmult(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.52/0.86 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.52/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_dvd__smult__cancel_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.86 | c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_smult__dvd_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.86 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_dvd__smult__iff_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.86 | c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) % 0.52/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_dvd__smult__iff_1,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.86 | c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) % 0.52/0.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_smult__dvd__iff_1,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.86 | c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_smult__dvd__iff_2,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.86 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_degree__smult__eq_1,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.86 | c_Polynomial_Odegree(c_Polynomial_Osmult(V_a,V_p,T_a),T_a) = c_Polynomial_Odegree(V_p,T_a) % 0.52/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_poly__1_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.86 | c_Polynomial_Opoly(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_norm__inverse_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.86 | ~ class_RealVector_Oreal__normed__div__algebra(T_a) % 0.52/0.86 | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_poly__smult_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.86 | c_Polynomial_Opoly(c_Polynomial_Osmult(V_a,V_p,T_a),V_x,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Polynomial_Opoly(V_p,V_x,T_a),T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_cq0_0,axiom, % 0.52/0.86 c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),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) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_sgn__1__pos_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.86 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Oone__class_Oone(T_a) % 0.52/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_sgn__pos_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.86 | c_HOL_Osgn__class_Osgn(V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.52/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_zero__less__divide__1__iff_1,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) % 0.52/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_zero__less__divide__1__iff_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_divide__less__0__1__iff_1,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.86 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.86 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_divide__less__0__1__iff_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.86 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_zero__less__two_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.52/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_sgn__if_1,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Osgn__if(T_a) % 0.52/0.86 | c_HOL_Osgn__class_Osgn(V_x,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.52/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.52/0.86 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_le__imp__inverse__le__neg_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.86 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.52/0.86 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.86 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_inverse__le__imp__le__neg_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.86 | c_lessequals(V_b,V_a,T_a) % 0.52/0.86 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.86 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_le__imp__inverse__le_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.86 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.52/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.86 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_inverse__le__imp__le_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.86 | c_lessequals(V_b,V_a,T_a) % 0.52/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.86 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_right__inverse_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.52/0.86 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oone__class_Oone(T_a) % 0.52/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_left__inverse_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.52/0.86 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.52/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_field__inverse_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.86 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.52/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_nonzero__inverse__eq__divide_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.86 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a) % 0.52/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_inverse__le__1__iff_1,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.86 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.52/0.86 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_inverse__le__1__iff_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.86 | c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a) % 0.52/0.86 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.86 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_zero__less__norm__iff_1,axiom, % 0.52/0.86 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.52/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) % 0.52/0.86 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_zero__less__norm__iff_0,axiom, % 0.52/0.86 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.52/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),tc_RealDef_Oreal) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_norm__sgn_1,axiom, % 0.52/0.86 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.52/0.86 | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(V_x,T_a),T_a) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) % 0.52/0.86 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_nonzero__norm__inverse_0,axiom, % 0.52/0.86 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a) % 0.52/0.86 | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) % 0.52/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_div__smult__right_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.86 | c_Divides_Odiv__class_Odiv(V_x,c_Polynomial_Osmult(V_a,V_y,T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_Divides_Odiv__class_Odiv(V_x,V_y,tc_Polynomial_Opoly(T_a)),T_a) % 0.52/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_pdivmod__rel__smult__right_0,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.86 | c_Polynomial_Opdivmod__rel(V_x,c_Polynomial_Osmult(V_a,V_y,T_a),c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_q,T_a),V_r,T_a) % 0.52/0.86 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q,V_r,T_a) % 0.52/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.86 % 0.52/0.86 cnf(cls_one__le__inverse__iff_2,axiom, % 0.52/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.86 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) % 0.52/0.86 | ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 0.52/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_inverse__less__1__iff_1,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.63/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.63/0.86 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_one__le__inverse__iff_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.63/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.63/0.86 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_inverse__less__1__iff_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.63/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a) % 0.63/0.86 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_lgqr_0,axiom, % 0.63/0.86 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v_q____,tc_Complex_Ocomplex) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_qr_0,axiom, % 0.63/0.86 c_Polynomial_Opoly(v_q____,V_z,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_r01_0,axiom, % 0.63/0.86 c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_xt1_I9_J_0,axiom, % 0.63/0.86 ( ~ class_Orderings_Oorder(T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 0.63/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_order__less__asym_0,axiom, % 0.63/0.86 ( ~ class_Orderings_Opreorder(T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_order__less__asym_H_0,axiom, % 0.63/0.86 ( ~ class_Orderings_Opreorder(T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_inverse__less__1__iff_2,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.63/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_inverse__zero__imp__zero_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.63/0.86 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.63/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_inverse__nonzero__iff__nonzero_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.63/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.63/0.86 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.63/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_zero__less__one_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_inverse__1_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.63/0.86 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_one__less__inverse__iff_2,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.63/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_inverse__eq__1__iff_1,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.63/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.63/0.86 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_negative__imp__inverse__negative_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_inverse__negative__iff__negative_1,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.63/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_inverse__negative__iff__negative_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.63/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_order__less__irrefl_0,axiom, % 0.63/0.86 ( ~ class_Orderings_Opreorder(T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_real__less__def_1,axiom, % 0.63/0.86 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_order__less__le_1,axiom, % 0.63/0.86 ( ~ class_Orderings_Oorder(T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_linorder__neq__iff_1,axiom, % 0.63/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_not__one__less__zero_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_less__imp__inverse__less__neg_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_inverse__less__imp__less__neg_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_less__imp__inverse__less_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_inverse__less__imp__less_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_inverse__positive__imp__positive_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.63/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_zero__neq__one_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.63/0.86 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_norm__one_0,axiom, % 0.63/0.86 ( ~ class_RealVector_Oreal__normed__algebra__1(T_a) % 0.63/0.86 | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_nonzero__inverse__inverse__eq_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.63/0.86 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a % 0.63/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_a00_0,axiom, % 0.63/0.86 c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_one__less__inverse__iff_1,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.63/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_smult__1__left_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.63/0.86 | c_Polynomial_Osmult(c_HOL_Oone__class_Oone(T_a),V_p,T_a) = V_p ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_inverse__zero_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.63/0.86 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_inverse__nonzero__iff__nonzero_1,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.63/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.63/0.86 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_nonzero__inverse__eq__imp__eq_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.63/0.86 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a) % 0.63/0.86 | V_a = V_b % 0.63/0.86 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.63/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_inverse__eq__iff__eq_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.63/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.63/0.86 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a) % 0.63/0.86 | V_a = V_b ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_mrmq__eq_0,axiom, % 0.63/0.86 ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_q____,V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_mrmq__eq_1,axiom, % 0.63/0.86 ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_q____,V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_inverse__negative__imp__negative_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.63/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_one__less__inverse__iff_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.63/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.63/0.86 | V_x = V_y ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 0.63/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.63/0.86 | V_x = V_y % 0.63/0.86 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_linorder__antisym__conv3_0,axiom, % 0.63/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.63/0.86 | V_x = V_y % 0.63/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_linorder__less__linear_0,axiom, % 0.63/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.63/0.86 | V_x = V_y % 0.63/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_linorder__neqE_0,axiom, % 0.63/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.63/0.86 | V_x = V_y ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_one__neq__zero_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.63/0.86 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_inverse__inverse__eq_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.63/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.63/0.86 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_xt1_I10_J_0,axiom, % 0.63/0.86 ( ~ class_Orderings_Oorder(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_order__less__trans_0,axiom, % 0.63/0.86 ( ~ class_Orderings_Opreorder(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_inverse__eq__1__iff_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.63/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.63/0.86 | c_HOL_Oinverse__class_Oinverse(V_x,T_a) != c_HOL_Oone__class_Oone(T_a) % 0.63/0.86 | V_x = c_HOL_Oone__class_Oone(T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_positive__imp__inverse__positive_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_inverse__positive__iff__positive_1,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.63/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_inverse__positive__iff__positive_0,axiom, % 0.63/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.63/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.63/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.63/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_CHAINED_0,axiom, % 0.63/0.86 c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(cls_conjecture_0,negated_conjecture, % 0.63/0.86 ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),V_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.63/0.86 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1,axiom, % 0.63/0.86 ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.63/0.86 class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1,axiom, % 0.63/0.86 class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.63/0.86 class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1,axiom, % 0.63/0.86 class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.63/0.86 class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.63/0.86 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.63/0.86 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.63/0.86 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.63/0.86 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.63/0.86 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.63/0.86 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.63/0.86 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.63/0.86 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.63/0.86 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom, % 0.63/0.86 class_Ring__and__Field_Opordered__semiring(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom, % 0.63/0.86 class_Ring__and__Field_Oordered__semiring(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom, % 0.63/0.86 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom, % 0.63/0.86 class_Ring__and__Field_Oordered__semidom(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.63/0.86 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.63/0.86 class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom, % 0.63/0.86 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.63/0.86 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 0.63/0.86 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom, % 0.63/0.86 class_Ring__and__Field_Ocomm__semiring(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 0.63/0.86 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom, % 0.63/0.86 class_Ring__and__Field_Ozero__neq__one(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom, % 0.63/0.86 class_Ring__and__Field_Omult__mono1(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom, % 0.63/0.86 class_Ring__and__Field_Omult__zero(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom, % 0.63/0.86 class_Ring__and__Field_Omult__mono(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom, % 0.63/0.86 class_OrderedGroup_Omonoid__mult(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom, % 0.63/0.86 class_Ring__and__Field_Osemiring(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom, % 0.63/0.86 class_OrderedGroup_Omonoid__add(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__Divides_Osemiring__div,axiom, % 0.63/0.86 class_Divides_Osemiring__div(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__Ring__and__Field_Odvd,axiom, % 0.63/0.86 class_Ring__and__Field_Odvd(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 0.63/0.86 class_Orderings_Opreorder(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 0.63/0.86 class_Orderings_Olinorder(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_nat__Orderings_Oorder,axiom, % 0.63/0.86 class_Orderings_Oorder(tc_nat) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.63/0.86 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.63/0.86 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.63/0.86 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.63/0.86 class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.63/0.86 class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.63/0.86 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.63/0.86 class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.63/0.86 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.63/0.86 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom, % 0.63/0.86 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom, % 0.63/0.86 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom, % 0.63/0.86 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom, % 0.63/0.86 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.63/0.86 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom, % 0.63/0.86 class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom, % 0.63/0.86 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom, % 0.63/0.86 class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom, % 0.63/0.86 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom, % 0.63/0.86 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom, % 0.63/0.86 class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.63/0.86 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.63/0.86 class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom, % 0.63/0.86 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom, % 0.63/0.86 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom, % 0.63/0.86 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.63/0.86 class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom, % 0.63/0.86 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom, % 0.63/0.86 class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom, % 0.63/0.86 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring,axiom, % 0.63/0.86 class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom, % 0.63/0.86 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom, % 0.63/0.86 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom, % 0.63/0.86 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom, % 0.63/0.86 class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom, % 0.63/0.86 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom, % 0.63/0.86 class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom, % 0.63/0.86 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom, % 0.63/0.86 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom, % 0.63/0.86 class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,axiom, % 0.63/0.86 class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom, % 0.63/0.86 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom, % 0.63/0.86 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osgn__if,axiom, % 0.63/0.86 class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom, % 0.63/0.86 class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom, % 0.63/0.86 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odvd,axiom, % 0.63/0.86 class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom, % 0.63/0.86 class_Orderings_Opreorder(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom, % 0.63/0.86 class_Orderings_Olinorder(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom, % 0.63/0.86 class_Orderings_Oorder(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom, % 0.63/0.86 class_Int_Onumber__ring(tc_RealDef_Oreal) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.63/0.86 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.63/0.86 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom, % 0.63/0.86 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.63/0.86 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom, % 0.63/0.86 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom, % 0.63/0.86 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom, % 0.63/0.86 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.63/0.86 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.63/0.86 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom, % 0.63/0.86 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom, % 0.63/0.86 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom, % 0.63/0.86 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.63/0.86 class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom, % 0.63/0.86 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,axiom, % 0.63/0.86 class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom, % 0.63/0.86 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom, % 0.63/0.86 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom, % 0.63/0.86 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom, % 0.63/0.86 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom, % 0.63/0.86 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom, % 0.63/0.86 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom, % 0.63/0.86 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom, % 0.63/0.86 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom, % 0.63/0.86 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom, % 0.63/0.86 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom, % 0.63/0.86 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odvd,axiom, % 0.63/0.86 class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom, % 0.63/0.86 class_Int_Onumber__ring(tc_Complex_Ocomplex) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.63/0.86 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.63/0.86 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.63/0.86 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.63/0.86 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.63/0.86 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.63/0.86 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.63/0.86 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.63/0.86 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.63/0.86 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict,axiom, % 0.63/0.86 ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add,axiom, % 0.63/0.86 ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.63/0.86 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__semiring,axiom, % 0.63/0.86 ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring,axiom, % 0.63/0.86 ( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ono__zero__divisors,axiom, % 0.63/0.86 ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semidom,axiom, % 0.63/0.86 ( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.63/0.86 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.63/0.86 ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult,axiom, % 0.63/0.86 ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.63/0.86 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__add,axiom, % 0.63/0.86 ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring,axiom, % 0.63/0.86 ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring,axiom, % 0.63/0.86 ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__add,axiom, % 0.63/0.86 ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ozero__neq__one,axiom, % 0.63/0.86 ( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__idom,axiom, % 0.63/0.86 ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono1,axiom, % 0.63/0.86 ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add,axiom, % 0.63/0.86 ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero,axiom, % 0.63/0.86 ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono,axiom, % 0.63/0.86 ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__mult,axiom, % 0.63/0.86 ( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring,axiom, % 0.63/0.86 ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add,axiom, % 0.63/0.86 ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Osgn__if,axiom, % 0.63/0.86 ( class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Divides_Osemiring__div,axiom, % 0.63/0.86 ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Ofield(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oidom,axiom, % 0.63/0.86 ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Odvd,axiom, % 0.63/0.86 ( class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Orderings_Opreorder,axiom, % 0.63/0.86 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Orderings_Olinorder,axiom, % 0.63/0.86 ( class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Orderings_Oorder,axiom, % 0.63/0.86 ( class_Orderings_Oorder(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.63/0.86 % 0.63/0.86 cnf(clsarity_Polynomial__Opoly__Int_Onumber__ring,axiom, % 0.63/0.86 ( class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1)) % 0.63/0.86 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ). % 0.63/0.86 % 0.63/0.86 %------------------------------------------------------------------------------ % 0.63/0.86 %------------------------------------------- % 0.63/0.86 % Proof found % 0.63/0.86 % SZS status Theorem for theBenchmark % 0.63/0.86 % SZS output start Proof % 0.63/0.88 %ClaNum:881(EqnAxiom:108) % 0.63/0.88 %VarNum:5780(SingletonVarNum:1691) % 0.63/0.88 %MaxLitNum:6 % 0.63/0.88 %MaxfuncDepth:6 % 0.63/0.88 %SharedTerms:149 % 0.63/0.88 %goalClause: 235 % 0.63/0.88 %singleGoalClaCount:1 % 0.63/0.88 [109]P1(a1) % 0.63/0.88 [110]P1(a20) % 0.63/0.88 [111]P2(a1) % 0.63/0.88 [112]P3(a1) % 0.63/0.88 [113]P3(a2) % 0.63/0.88 [114]P4(a1) % 0.63/0.88 [115]P4(a20) % 0.63/0.88 [116]P5(a1) % 0.63/0.88 [117]P5(a2) % 0.63/0.88 [118]P5(a20) % 0.63/0.88 [119]P25(a1) % 0.63/0.88 [120]P25(a2) % 0.63/0.88 [121]P25(a20) % 0.63/0.88 [122]P39(a1) % 0.63/0.88 [123]P39(a2) % 0.63/0.88 [124]P6(a1) % 0.63/0.88 [125]P6(a2) % 0.63/0.88 [126]P19(a1) % 0.63/0.88 [127]P19(a2) % 0.63/0.88 [128]P19(a20) % 0.63/0.88 [129]P26(a1) % 0.63/0.88 [130]P26(a2) % 0.63/0.88 [131]P48(a1) % 0.63/0.88 [132]P27(a1) % 0.63/0.88 [133]P27(a2) % 0.63/0.88 [134]P40(a1) % 0.63/0.88 [135]P40(a2) % 0.63/0.88 [136]P20(a1) % 0.63/0.88 [137]P7(a20) % 0.63/0.88 [138]P43(a1) % 0.63/0.88 [139]P43(a2) % 0.63/0.88 [140]P43(a20) % 0.63/0.88 [141]P52(a1) % 0.63/0.88 [142]P52(a2) % 0.63/0.88 [143]P28(a1) % 0.63/0.88 [144]P28(a2) % 0.63/0.88 [145]P44(a1) % 0.63/0.88 [146]P44(a2) % 0.63/0.88 [147]P44(a20) % 0.63/0.88 [148]P56(a1) % 0.63/0.88 [149]P29(a1) % 0.63/0.88 [150]P29(a20) % 0.63/0.88 [151]P49(a1) % 0.63/0.88 [152]P57(a1) % 0.63/0.88 [153]P57(a2) % 0.63/0.88 [154]P57(a20) % 0.63/0.88 [155]P12(a1) % 0.63/0.88 [156]P12(a2) % 0.63/0.88 [157]P12(a20) % 0.63/0.88 [158]P13(a1) % 0.63/0.88 [159]P13(a2) % 0.63/0.88 [160]P30(a1) % 0.63/0.88 [161]P30(a20) % 0.63/0.88 [162]P41(a1) % 0.63/0.88 [163]P41(a2) % 0.63/0.88 [164]P41(a20) % 0.63/0.88 [165]P50(a1) % 0.63/0.88 [166]P50(a20) % 0.63/0.88 [167]P31(a1) % 0.63/0.88 [168]P31(a20) % 0.63/0.88 [169]P33(a1) % 0.63/0.88 [170]P33(a20) % 0.63/0.88 [171]P32(a1) % 0.63/0.88 [172]P32(a20) % 0.63/0.88 [173]P22(a1) % 0.63/0.88 [174]P22(a2) % 0.63/0.88 [175]P22(a20) % 0.63/0.88 [176]P21(a1) % 0.63/0.88 [177]P21(a2) % 0.63/0.88 [178]P21(a20) % 0.63/0.88 [179]P34(a1) % 0.63/0.88 [180]P34(a2) % 0.63/0.88 [181]P42(a1) % 0.63/0.88 [182]P42(a2) % 0.63/0.88 [183]P23(a1) % 0.63/0.88 [184]P23(a20) % 0.63/0.88 [185]P45(a1) % 0.63/0.88 [186]P45(a20) % 0.63/0.88 [187]P46(a1) % 0.63/0.88 [188]P46(a20) % 0.63/0.88 [189]P53(a1) % 0.63/0.88 [190]P54(a1) % 0.63/0.88 [191]P54(a20) % 0.63/0.88 [192]P14(a1) % 0.63/0.88 [193]P14(a2) % 0.63/0.88 [194]P14(a20) % 0.63/0.88 [195]P36(a1) % 0.63/0.88 [196]P36(a2) % 0.63/0.88 [197]P36(a20) % 0.63/0.88 [198]P35(a1) % 0.63/0.88 [199]P35(a2) % 0.63/0.88 [200]P38(a1) % 0.63/0.88 [201]P38(a2) % 0.63/0.88 [202]P38(a20) % 0.63/0.88 [203]P51(a1) % 0.63/0.88 [204]P51(a20) % 0.63/0.88 [205]P47(a1) % 0.63/0.88 [206]P47(a20) % 0.63/0.88 [207]P55(a1) % 0.63/0.88 [208]P55(a20) % 0.63/0.88 [209]P16(a1) % 0.63/0.88 [210]P16(a2) % 0.63/0.88 [211]P16(a20) % 0.63/0.88 [212]P17(a1) % 0.63/0.88 [213]P17(a2) % 0.63/0.88 [214]P17(a20) % 0.63/0.88 [215]P24(a1) % 0.63/0.88 [216]P58(a1) % 0.63/0.88 [217]P58(a2) % 0.63/0.88 [218]P58(a20) % 0.63/0.88 [219]P18(a1) % 0.63/0.88 [220]P18(a2) % 0.63/0.88 [221]P18(a20) % 0.63/0.88 [222]P37(a1) % 0.63/0.88 [223]P37(a2) % 0.63/0.88 [225]E(f5(a21,a2),f5(a22,a2)) % 0.63/0.88 [232]~E(f9(a1),f3(a1)) % 0.63/0.88 [224]E(f4(f3(a1),a1),f3(a1)) % 0.63/0.88 [229]E(f13(f16(f4(f13(a21,f3(a2),a2),a2),a21,a2),f3(a2),a2),f9(a2)) % 0.63/0.88 [234]~E(f13(a21,f3(a2),a2),f3(a2)) % 0.63/0.88 [231]P9(f15(f13(f16(f4(f13(a21,f3(a2),a2),a2),a21,a2),f10(f17(a23,a2),a25,a2),a2),a2),f9(a1),a1) % 0.63/0.88 [228]E(f5(f16(f4(f13(a21,f3(a2),a2),a2),a21,a2),a2),f5(a21,a2)) % 0.63/0.88 [226]P8(x2261,x2261,a1) % 0.63/0.88 [233]~P9(x2331,x2331,a1) % 0.63/0.88 [227]P8(f15(f13(a21,f3(a2),a2),a2),f15(f13(a22,x2271,a2),a2),a1) % 0.63/0.88 [230]E(f10(f13(f16(f4(f13(a21,f3(a2),a2),a2),a21,a2),x2301,a2),f13(a21,f3(a2),a2),a2),f13(a21,x2301,a2)) % 0.63/0.88 [235]~P9(f15(f13(f16(f4(f13(a21,f3(a2),a2),a2),a21,a2),x2351,a2),a2),f9(a1),a1) % 0.63/0.88 [236]~P48(x2361)+P1(f19(x2361)) % 0.63/0.88 [237]~P48(x2371)+P4(f19(x2371)) % 0.63/0.88 [238]~P5(x2381)+P5(f19(x2381)) % 0.63/0.88 [239]~P25(x2391)+P25(f19(x2391)) % 0.63/0.88 [240]~P39(x2401)+P39(f19(x2401)) % 0.63/0.88 [241]~P37(x2411)+P6(f19(x2411)) % 0.63/0.88 [242]~P5(x2421)+P19(f19(x2421)) % 0.63/0.88 [243]~P48(x2431)+P48(f19(x2431)) % 0.63/0.88 [244]~P40(x2441)+P7(f19(x2441)) % 0.63/0.88 [245]~P39(x2451)+P43(f19(x2451)) % 0.63/0.88 [246]~P39(x2461)+P52(f19(x2461)) % 0.63/0.88 [247]~P38(x2471)+P44(f19(x2471)) % 0.63/0.88 [248]~P48(x2481)+P56(f19(x2481)) % 0.63/0.88 [249]~P48(x2491)+P29(f19(x2491)) % 0.63/0.88 [250]~P48(x2501)+P49(f19(x2501)) % 0.63/0.88 [251]~P38(x2511)+P57(f19(x2511)) % 0.63/0.88 [252]~P5(x2521)+P12(f19(x2521)) % 0.63/0.88 [253]~P13(x2531)+P13(f19(x2531)) % 0.63/0.88 [254]~P48(x2541)+P30(f19(x2541)) % 0.63/0.88 [255]~P25(x2551)+P41(f19(x2551)) % 0.63/0.88 [256]~P48(x2561)+P50(f19(x2561)) % 0.63/0.88 [257]~P48(x2571)+P31(f19(x2571)) % 0.63/0.88 [258]~P48(x2581)+P33(f19(x2581)) % 0.63/0.88 [259]~P48(x2591)+P32(f19(x2591)) % 0.63/0.88 [260]~P25(x2601)+P22(f19(x2601)) % 0.63/0.88 [261]~P25(x2611)+P21(f19(x2611)) % 0.63/0.88 [262]~P48(x2621)+P23(f19(x2621)) % 0.63/0.88 [263]~P48(x2631)+P45(f19(x2631)) % 0.63/0.88 [264]~P48(x2641)+P46(f19(x2641)) % 0.63/0.88 [265]~P48(x2651)+P53(f19(x2651)) % 0.63/0.88 [266]~P48(x2661)+P54(f19(x2661)) % 0.63/0.88 [267]~P38(x2671)+P14(f19(x2671)) % 0.63/0.88 [268]~P38(x2681)+P36(f19(x2681)) % 0.63/0.88 [269]~P38(x2691)+P38(f19(x2691)) % 0.63/0.88 [270]~P48(x2701)+P51(f19(x2701)) % 0.63/0.88 [271]~P48(x2711)+P47(f19(x2711)) % 0.63/0.88 [272]~P48(x2721)+P55(f19(x2721)) % 0.63/0.88 [273]~P18(x2731)+P16(f19(x2731)) % 0.63/0.88 [274]~P18(x2741)+P17(f19(x2741)) % 0.63/0.88 [275]~P48(x2751)+P24(f19(x2751)) % 0.63/0.88 [276]~P25(x2761)+P58(f19(x2761)) % 0.63/0.88 [277]~P18(x2771)+P18(f19(x2771)) % 0.63/0.88 [278]~P37(x2781)+P37(f19(x2781)) % 0.63/0.88 [280]~P58(x2801)+~E(f9(x2801),f3(x2801)) % 0.63/0.88 [348]~P51(x3481)+P9(f3(x3481),f9(x3481),x3481) % 0.63/0.88 [349]~P51(x3491)+P8(f3(x3491),f9(x3491),x3491) % 0.63/0.88 [388]~P51(x3881)+~P9(f9(x3881),f3(x3881),x3881) % 0.63/0.88 [389]~P51(x3891)+~P8(f9(x3891),f3(x3891),x3891) % 0.63/0.88 [281]~P26(x2811)+E(f15(f3(x2811),x2811),f3(a1)) % 0.63/0.88 [282]~P34(x2821)+E(f15(f9(x2821),x2821),f9(a1)) % 0.63/0.88 [283]~P26(x2831)+E(f11(f3(x2831),x2831),f3(x2831)) % 0.63/0.88 [284]~P48(x2841)+E(f11(f3(x2841),x2841),f3(x2841)) % 0.63/0.88 [285]~P56(x2851)+E(f11(f3(x2851),x2851),f3(x2851)) % 0.63/0.88 [286]~P34(x2861)+E(f11(f9(x2861),x2861),f9(x2861)) % 0.63/0.88 [287]~P3(x2871)+E(f4(f3(x2871),x2871),f3(x2871)) % 0.63/0.88 [288]~P42(x2881)+E(f4(f9(x2881),x2881),f9(x2881)) % 0.63/0.88 [354]~P20(x3541)+E(f12(f3(x3541),f3(x3541),x3541),f3(x3541)) % 0.63/0.88 [379]~P26(x3791)+P8(f15(f3(x3791),x3791),f3(a1),a1) % 0.63/0.88 [428]~P26(x4281)+~P9(f3(a1),f15(f3(x4281),x4281),a1) % 0.63/0.88 [477]~P51(x4771)+P9(f3(x4771),f12(f9(x4771),f9(x4771),x4771),x4771) % 0.63/0.88 [305]~P26(x3051)+E(f15(f11(f3(x3051),x3051),x3051),f3(a1)) % 0.63/0.88 [555]~P49(x5551)+E(f12(f10(f3(x5551),f3(x5551),x5551),f10(f3(x5551),f3(x5551),x5551),x5551),f3(x5551)) % 0.63/0.88 [838]~P49(x8381)+P8(f12(f10(f3(x8381),f3(x8381),x8381),f10(f3(x8381),f3(x8381),x8381),x8381),f3(x8381),x8381) % 0.63/0.88 [865]~P49(x8651)+~P9(f3(x8651),f12(f10(f3(x8651),f3(x8651),x8651),f10(f3(x8651),f3(x8651),x8651),x8651),x8651) % 0.63/0.88 [877]~P9(f15(f13(a21,x8771,a2),a2),f15(f13(a21,f3(a2),a2),a2),a1)+P9(f15(f13(f16(f4(f13(a21,f3(a2),a2),a2),a21,a2),x8771,a2),a2),f9(a1),a1) % 0.63/0.88 [302]~P31(x3022)+P8(x3021,x3021,x3022) % 0.63/0.88 [303]~P33(x3032)+P8(x3031,x3031,x3032) % 0.63/0.88 [304]~P25(x3042)+P10(x3041,x3041,x3042) % 0.63/0.88 [371]~P9(x3712,x3712,x3711)+~P31(x3711) % 0.63/0.88 [372]~P9(x3722,x3722,x3721)+~P33(x3721) % 0.63/0.88 [373]~P9(x3732,x3732,x3731)+~P32(x3731) % 0.63/0.88 [381]P8(x3812,x3811,a1)+P8(x3811,x3812,a1) % 0.63/0.88 [410]~P9(x4101,x4102,a1)+P8(x4101,x4102,a1) % 0.63/0.88 [306]~P15(x3062)+E(f10(x3061,x3061,x3062),x3061) % 0.63/0.88 [308]~P7(x3082)+E(f6(x3081,x3081,x3082),f3(x3082)) % 0.63/0.88 [309]~P25(x3092)+P10(x3091,f3(x3092),x3092) % 0.63/0.88 [310]~P25(x3101)+P10(f9(x3101),x3102,x3101) % 0.63/0.88 [366]~P26(x3662)+P8(f3(a1),f15(x3661,x3662),a1) % 0.63/0.88 [409]~P26(x4091)+~P9(f15(x4092,x4091),f3(a1),a1) % 0.63/0.88 [436]~P49(x4361)+P8(f3(x4361),f10(x4362,x4362,x4361),x4361) % 0.63/0.88 [523]~P49(x5231)+~P9(f10(x5232,x5232,x5231),f3(x5231),x5231) % 0.63/0.88 [301]~P48(x3012)+E(f11(f11(x3011,x3012),x3012),f11(x3011,x3012)) % 0.63/0.88 [311]~P25(x3112)+E(f10(x3111,f9(x3112),x3112),x3111) % 0.63/0.88 [312]~P22(x3122)+E(f10(x3121,f9(x3122),x3122),x3121) % 0.63/0.88 [313]~P40(x3132)+E(f8(x3131,f9(x3132),x3132),x3131) % 0.63/0.88 [314]~P5(x3142)+E(f12(x3141,f3(x3142),x3142),x3141) % 0.63/0.88 [315]~P25(x3152)+E(f12(x3151,f3(x3152),x3152),x3151) % 0.63/0.88 [316]~P19(x3162)+E(f12(x3161,f3(x3162),x3162),x3161) % 0.63/0.88 [317]~P7(x3172)+E(f6(x3171,f3(x3172),x3172),x3171) % 0.63/0.88 [318]~P7(x3182)+E(f7(x3181,f9(x3182),x3182),x3181) % 0.63/0.88 [320]~P25(x3201)+E(f10(f9(x3201),x3202,x3201),x3202) % 0.63/0.88 [321]~P22(x3211)+E(f10(f9(x3211),x3212,x3211),x3212) % 0.63/0.88 [322]~P21(x3221)+E(f10(f9(x3221),x3222,x3221),x3222) % 0.63/0.88 [323]~P5(x3231)+E(f12(f3(x3231),x3232,x3231),x3232) % 0.63/0.88 [325]~P25(x3251)+E(f12(f3(x3251),x3252,x3251),x3252) % 0.63/0.88 [326]~P19(x3261)+E(f12(f3(x3261),x3262,x3261),x3262) % 0.63/0.88 [327]~P25(x3271)+E(f16(f9(x3271),x3272,x3271),x3272) % 0.63/0.88 [331]~P25(x3312)+E(f10(x3311,f3(x3312),x3312),f3(x3312)) % 0.63/0.88 [332]~P52(x3322)+E(f10(x3321,f3(x3322),x3322),f3(x3322)) % 0.63/0.88 [334]~P28(x3342)+E(f10(x3341,f3(x3342),x3342),f3(x3342)) % 0.63/0.88 [335]~P44(x3352)+E(f10(x3351,f3(x3352),x3352),f3(x3352)) % 0.63/0.88 [336]~P7(x3362)+E(f6(x3361,f9(x3362),x3362),f3(x3362)) % 0.63/0.88 [337]~P7(x3372)+E(f7(x3371,f3(x3372),x3372),f3(x3372)) % 0.63/0.88 [339]~P25(x3391)+E(f10(f3(x3391),x3392,x3391),f3(x3391)) % 0.63/0.88 [340]~P52(x3401)+E(f10(f3(x3401),x3402,x3401),f3(x3401)) % 0.63/0.88 [342]~P28(x3421)+E(f10(f3(x3421),x3422,x3421),f3(x3421)) % 0.63/0.88 [343]~P44(x3431)+E(f10(f3(x3431),x3432,x3431),f3(x3431)) % 0.63/0.88 [344]~P27(x3441)+E(f8(f3(x3441),x3442,x3441),f3(x3441)) % 0.63/0.88 [345]~P40(x3451)+E(f8(f3(x3451),x3452,x3451),f3(x3451)) % 0.63/0.88 [346]~P7(x3461)+E(f6(f3(x3461),x3462,x3461),f3(x3461)) % 0.63/0.88 [347]~P7(x3471)+E(f7(f3(x3471),x3472,x3471),f3(x3471)) % 0.63/0.88 [352]~P39(x3521)+E(f16(f3(x3521),x3522,x3521),f3(f19(x3521))) % 0.63/0.88 [353]~P38(x3531)+E(f16(f3(x3531),x3532,x3531),f3(f19(x3531))) % 0.63/0.88 [359]~P40(x3591)+E(f8(f9(x3591),x3592,x3591),f4(x3592,x3591)) % 0.63/0.88 [452]~P51(x4522)+P9(x4521,f12(x4521,f9(x4522),x4522),x4522) % 0.63/0.88 [481]~P40(x4811)+P10(f16(f3(x4811),x4812,x4811),f3(f19(x4811)),f19(x4811)) % 0.63/0.88 [866]~P40(x8662)+P11(x8661,f3(f19(x8662)),f3(f19(x8662)),x8661,x8662) % 0.63/0.88 [867]~P40(x8671)+P11(f3(f19(x8671)),x8672,f3(f19(x8671)),f3(f19(x8671)),x8671) % 0.63/0.88 [360]~P39(x3601)+E(f13(f3(f19(x3601)),x3602,x3601),f3(x3601)) % 0.63/0.88 [361]~P38(x3611)+E(f13(f3(f19(x3611)),x3612,x3611),f3(x3611)) % 0.63/0.88 [362]~P25(x3621)+E(f13(f9(f19(x3621)),x3622,x3621),f9(x3621)) % 0.63/0.88 [367]~P39(x3672)+E(f16(x3671,f3(f19(x3672)),x3672),f3(f19(x3672))) % 0.63/0.88 [368]~P38(x3682)+E(f16(x3681,f3(f19(x3682)),x3682),f3(f19(x3682))) % 0.63/0.88 [511]~P25(x5112)+E(f12(x5111,x5111,x5112),f10(f12(f9(x5112),f9(x5112),x5112),x5111,x5112)) % 0.63/0.88 [392]~P25(x3923)+E(f10(x3921,x3922,x3923),f10(x3922,x3921,x3923)) % 0.63/0.88 [393]~P5(x3933)+E(f12(x3931,x3932,x3933),f12(x3932,x3931,x3933)) % 0.63/0.88 [395]~P25(x3953)+E(f12(x3951,x3952,x3953),f12(x3952,x3951,x3953)) % 0.63/0.88 [429]~P25(x4293)+P10(x4291,f10(x4292,x4291,x4293),x4293) % 0.63/0.88 [430]~P25(x4303)+P10(x4301,f10(x4301,x4302,x4303),x4303) % 0.63/0.88 [431]~P41(x4313)+P10(x4311,f10(x4311,x4312,x4313),x4313) % 0.63/0.88 [413]~P40(x4133)+E(f10(x4131,f4(x4132,x4133),x4133),f8(x4131,x4132,x4133)) % 0.63/0.88 [433]~P7(x4333)+E(f6(f10(x4331,x4332,x4333),x4332,x4333),f3(x4333)) % 0.63/0.88 [434]~P7(x4343)+E(f6(f10(x4341,x4342,x4343),x4341,x4343),f3(x4343)) % 0.63/0.88 [435]~P7(x4353)+E(f7(f6(x4351,x4352,x4353),x4352,x4353),f3(x4353)) % 0.63/0.88 [493]~P15(x4933)+E(f10(x4931,f10(x4931,x4932,x4933),x4933),f10(x4931,x4932,x4933)) % 0.63/0.88 [494]~P7(x4943)+E(f6(f12(x4941,x4942,x4943),x4942,x4943),f6(x4941,x4942,x4943)) % 0.63/0.88 [495]~P7(x4953)+E(f6(f12(x4951,x4952,x4953),x4951,x4953),f6(x4952,x4951,x4953)) % 0.63/0.88 [496]~P7(x4963)+E(f6(f6(x4961,x4962,x4963),x4962,x4963),f6(x4961,x4962,x4963)) % 0.63/0.88 [497]~P48(x4972)+E(f10(f11(x4971,x4972),f11(x4973,x4972),x4972),f11(f10(x4971,x4973,x4972),x4972)) % 0.63/0.88 [498]~P35(x4982)+E(f10(f11(x4981,x4982),f11(x4983,x4982),x4982),f11(f10(x4981,x4983,x4982),x4982)) % 0.63/0.88 [543]~P39(x5432)+P10(f10(x5431,f3(x5432),x5432),f10(x5433,f3(x5432),x5432),x5432) % 0.63/0.88 [544]~P39(x5441)+P10(f10(f3(x5441),x5442,x5441),f10(f3(x5441),x5443,x5441),x5441) % 0.63/0.88 [751]~P7(x7513)+E(f12(f10(x7511,f7(x7512,x7511,x7513),x7513),f6(x7512,x7511,x7513),x7513),x7512) % 0.63/0.88 [752]~P7(x7523)+E(f12(f10(f7(x7521,x7522,x7523),x7522,x7523),f6(x7521,x7522,x7523),x7523),x7521) % 0.63/0.88 [820]~P49(x8201)+P8(f3(x8201),f12(f10(x8202,x8202,x8201),f10(x8203,x8203,x8201),x8201),x8201) % 0.63/0.88 [859]~P49(x8591)+~P9(f12(f10(x8592,x8592,x8591),f10(x8593,x8593,x8591),x8591),f3(x8591),x8591) % 0.63/0.88 [868]~P40(x8683)+P11(x8681,x8682,f7(x8681,x8682,f19(x8683)),f6(x8681,x8682,f19(x8683)),x8683) % 0.63/0.88 [546]~P7(x5461)+E(f7(f10(f3(x5461),x5462,x5461),f10(f3(x5461),x5463,x5461),x5461),f3(x5461)) % 0.63/0.88 [590]~P25(x5903)+E(f12(x5901,f10(x5902,x5901,x5903),x5903),f10(f12(x5902,f9(x5903),x5903),x5901,x5903)) % 0.63/0.88 [591]~P25(x5913)+E(f12(f10(x5911,x5912,x5913),x5912,x5913),f10(f12(x5911,f9(x5913),x5913),x5912,x5913)) % 0.63/0.88 [750]~P7(x7503)+E(f12(f6(x7501,x7502,x7503),f10(f7(x7501,x7502,x7503),x7502,x7503),x7503),x7501) % 0.63/0.88 [556]~P25(x5564)+E(f10(x5561,f10(x5562,x5563,x5564),x5564),f10(x5562,f10(x5561,x5563,x5564),x5564)) % 0.63/0.88 [557]~P5(x5574)+E(f12(x5571,f12(x5572,x5573,x5574),x5574),f12(x5572,f12(x5571,x5573,x5574),x5574)) % 0.63/0.88 [558]~P25(x5584)+E(f12(x5581,f12(x5582,x5583,x5584),x5584),f12(x5582,f12(x5581,x5583,x5584),x5584)) % 0.63/0.88 [559]~P13(x5594)+E(f12(x5591,f12(x5592,x5593,x5594),x5594),f12(x5592,f12(x5591,x5593,x5594),x5594)) % 0.63/0.88 [564]~P38(x5643)+E(f16(f10(x5641,x5642,x5643),x5644,x5643),f16(x5641,f16(x5642,x5644,x5643),x5643)) % 0.63/0.88 [565]~P25(x5653)+E(f10(f10(x5651,x5652,x5653),x5654,x5653),f10(x5651,f10(x5652,x5654,x5653),x5653)) % 0.63/0.88 [566]~P14(x5663)+E(f10(f10(x5661,x5662,x5663),x5664,x5663),f10(x5661,f10(x5662,x5664,x5663),x5663)) % 0.63/0.88 [567]~P5(x5673)+E(f12(f12(x5671,x5672,x5673),x5674,x5673),f12(x5671,f12(x5672,x5674,x5673),x5673)) % 0.63/0.88 [568]~P25(x5683)+E(f12(f12(x5681,x5682,x5683),x5684,x5683),f12(x5681,f12(x5682,x5684,x5683),x5683)) % 0.63/0.88 [569]~P12(x5693)+E(f12(f12(x5691,x5692,x5693),x5694,x5693),f12(x5691,f12(x5692,x5694,x5693),x5693)) % 0.63/0.88 [570]~P38(x5704)+E(f10(x5701,f13(x5702,x5703,x5704),x5704),f13(f16(x5701,x5702,x5704),x5703,x5704)) % 0.63/0.88 [571]~P25(x5713)+E(f10(f10(x5711,x5712,x5713),x5714,x5713),f10(f10(x5711,x5714,x5713),x5712,x5713)) % 0.63/0.88 [572]~P25(x5723)+E(f12(f12(x5721,x5722,x5723),x5724,x5723),f12(f12(x5721,x5724,x5723),x5722,x5723)) % 0.63/0.88 [696]~P25(x6963)+E(f12(f10(x6961,x6962,x6963),f10(x6961,x6964,x6963),x6963),f10(x6961,f12(x6962,x6964,x6963),x6963)) % 0.63/0.88 [698]~P28(x6983)+E(f12(f10(x6981,x6982,x6983),f10(x6981,x6984,x6983),x6983),f10(x6981,f12(x6982,x6984,x6983),x6983)) % 0.63/0.88 [701]~P28(x7013)+E(f12(f10(x7011,x7012,x7013),f10(x7014,x7012,x7013),x7013),f10(f12(x7011,x7014,x7013),x7012,x7013)) % 0.63/0.88 [702]~P36(x7023)+E(f12(f10(x7021,x7022,x7023),f10(x7024,x7022,x7023),x7023),f10(f12(x7021,x7024,x7023),x7022,x7023)) % 0.63/0.88 [703]~P27(x7033)+E(f12(f8(x7031,x7032,x7033),f8(x7034,x7032,x7033),x7033),f8(f12(x7031,x7034,x7033),x7032,x7033)) % 0.63/0.88 [704]~P40(x7043)+E(f12(f8(x7041,x7042,x7043),f8(x7044,x7042,x7043),x7043),f8(f12(x7041,x7044,x7043),x7042,x7043)) % 0.63/0.88 [705]~P7(x7053)+E(f6(f10(x7051,x7052,x7053),f10(x7051,x7054,x7053),x7053),f10(x7051,f6(x7052,x7054,x7053),x7053)) % 0.63/0.88 [706]~P25(x7063)+E(f12(f10(x7061,x7062,x7063),f10(x7064,x7062,x7063),x7063),f10(f12(x7061,x7064,x7063),x7062,x7063)) % 0.63/0.88 [707]~P7(x7073)+E(f6(f10(x7071,x7072,x7073),f10(x7074,x7072,x7073),x7073),f10(f6(x7071,x7074,x7073),x7072,x7073)) % 0.63/0.88 [594]~P40(x5943)+E(f6(f16(x5941,x5942,x5943),x5944,f19(x5943)),f16(x5941,f6(x5942,x5944,f19(x5943)),x5943)) % 0.63/0.88 [595]~P40(x5953)+E(f7(f16(x5951,x5952,x5953),x5954,f19(x5953)),f16(x5951,f7(x5952,x5954,f19(x5953)),x5953)) % 0.63/0.88 [694]~P7(x6944)+E(f6(f12(x6941,f10(x6942,x6943,x6944),x6944),x6943,x6944),f6(x6941,x6943,x6944)) % 0.63/0.88 [695]~P7(x6954)+E(f6(f12(x6951,f10(x6952,x6953,x6954),x6954),x6952,x6954),f6(x6951,x6952,x6954)) % 0.63/0.88 [770]~P7(x7704)+E(f6(f10(x7701,f6(x7702,x7703,x7704),x7704),x7703,x7704),f6(f10(x7701,x7702,x7704),x7703,x7704)) % 0.63/0.88 [774]~P7(x7744)+E(f6(f12(x7741,f6(x7742,x7743,x7744),x7744),x7743,x7744),f6(f12(x7741,x7742,x7744),x7743,x7744)) % 0.63/0.88 [775]~P7(x7753)+E(f6(f10(f6(x7751,x7752,x7753),x7754,x7753),x7752,x7753),f6(f10(x7751,x7754,x7753),x7752,x7753)) % 0.63/0.88 [776]~P7(x7763)+E(f6(f12(f6(x7761,x7762,x7763),x7764,x7763),x7762,x7763),f6(f12(x7761,x7764,x7763),x7762,x7763)) % 0.63/0.88 [846]~P7(x8463)+E(f6(f10(f6(x8461,x8462,x8463),f6(x8464,x8462,x8463),x8463),x8462,x8463),f6(f10(x8461,x8464,x8463),x8462,x8463)) % 0.63/0.88 [847]~P7(x8473)+E(f6(f12(f6(x8471,x8472,x8473),f6(x8474,x8472,x8473),x8473),x8472,x8473),f6(f12(x8471,x8474,x8473),x8472,x8473)) % 0.63/0.88 [863]~P7(x8633)+E(f12(f12(f10(x8631,f7(x8632,x8631,x8633),x8633),f6(x8632,x8631,x8633),x8633),x8634,x8633),f12(x8632,x8634,x8633)) % 0.63/0.88 [864]~P7(x8643)+E(f12(f12(f10(f7(x8641,x8642,x8643),x8642,x8643),f6(x8641,x8642,x8643),x8643),x8644,x8643),f12(x8641,x8644,x8643)) % 0.63/0.88 [777]~P25(x7773)+E(f10(f10(x7771,x7772,x7773),f10(x7774,x7775,x7773),x7773),f10(f10(x7771,x7774,x7773),f10(x7772,x7775,x7773),x7773)) % 0.63/0.88 [778]~P25(x7783)+E(f12(f12(x7781,x7782,x7783),f12(x7784,x7785,x7783),x7783),f12(f12(x7781,x7784,x7783),f12(x7782,x7785,x7783),x7783)) % 0.63/0.88 [858]~P57(x8583)+E(f12(f10(x8581,x8582,x8583),f12(f10(x8584,x8582,x8583),x8585,x8583),x8583),f12(f10(f12(x8581,x8584,x8583),x8582,x8583),x8585,x8583)) % 0.63/0.88 [516]~P9(x5161,f9(a1),a1)+~P9(f3(a1),x5161,a1)+P9(f9(a1),f4(x5161,a1),a1) % 0.63/0.88 [290]~P3(x2901)+~P40(x2901)+E(f4(f9(x2901),x2901),f9(x2901)) % 0.63/0.88 [460]~P30(x4601)+~P8(f3(x4601),f3(x4601),x4601)+E(f12(f3(x4601),f3(x4601),x4601),f3(x4601)) % 0.63/0.88 [411]E(x4111,x4112)+P9(x4111,x4112,a1)+~P8(x4111,x4112,a1) % 0.63/0.88 [432]E(x4321,x4322)+~P8(x4322,x4321,a1)+~P8(x4321,x4322,a1) % 0.63/0.88 [291]~P26(x2912)+E(x2911,f3(x2912))+~E(f15(x2911,x2912),f3(a1)) % 0.63/0.88 [292]~P26(x2922)+~E(f11(x2921,x2922),f3(x2922))+E(x2921,f3(x2922)) % 0.63/0.88 [293]~P48(x2932)+~E(f11(x2931,x2932),f3(x2932))+E(x2931,f3(x2932)) % 0.63/0.88 [294]~P42(x2942)+~E(f4(x2941,x2942),f3(x2942))+E(x2941,f3(x2942)) % 0.63/0.88 [329]~P40(x3292)+E(f8(x3291,x3291,x3292),f9(x3292))+E(x3291,f3(x3292)) % 0.63/0.88 [330]~P7(x3302)+E(f7(x3301,x3301,x3302),f9(x3302))+E(x3301,f3(x3302)) % 0.63/0.88 [374]~P26(x3742)+E(x3741,f3(x3742))+P9(f3(a1),f15(x3741,x3742),a1) % 0.63/0.88 [375]~P48(x3751)+P9(f3(x3751),x3752,x3751)+~E(f11(x3752,x3751),f9(x3751)) % 0.63/0.88 [380]~P20(x3802)+~E(f12(x3801,x3801,x3802),f3(x3802))+E(x3801,f3(x3802)) % 0.63/0.88 [384]~P25(x3842)+~P10(f3(x3842),x3841,x3842)+E(x3841,f3(x3842)) % 0.63/0.88 [406]~P48(x4062)+~P9(f3(x4062),x4061,x4062)+E(f11(x4061,x4062),f9(x4062)) % 0.63/0.88 [412]~P26(x4122)+E(x4121,f3(x4122))+~P8(f15(x4121,x4122),f3(a1),a1) % 0.63/0.88 [463]~P48(x4631)+~P9(f3(x4631),x4632,x4631)+P9(f3(x4631),f11(x4632,x4631),x4631) % 0.63/0.88 [464]~P2(x4641)+~P9(f3(x4641),x4642,x4641)+P9(f3(x4641),f4(x4642,x4641),x4641) % 0.63/0.88 [465]~P48(x4652)+~P9(x4651,f3(x4652),x4652)+P9(f11(x4651,x4652),f3(x4652),x4652) % 0.63/0.88 [466]~P2(x4662)+~P9(x4661,f3(x4662),x4662)+P9(f4(x4661,x4662),f3(x4662),x4662) % 0.63/0.88 [479]~P48(x4792)+~P9(f11(x4791,x4792),f3(x4792),x4792)+P9(x4791,f3(x4792),x4792) % 0.63/0.88 [480]~P48(x4801)+~P9(f3(x4801),f11(x4802,x4801),x4801)+P9(f3(x4801),x4802,x4801) % 0.63/0.88 [518]~P20(x5181)+~P9(f3(x5181),x5182,x5181)+P9(f3(x5181),f12(x5182,x5182,x5181),x5181) % 0.63/0.88 [519]~P20(x5191)+~P8(f3(x5191),x5192,x5191)+P8(f3(x5191),f12(x5192,x5192,x5191),x5191) % 0.63/0.88 [520]~P48(x5202)+~P9(x5201,f3(x5202),x5202)+P9(f12(x5201,x5201,x5202),f3(x5202),x5202) % 0.63/0.88 [521]~P20(x5212)+~P9(x5211,f3(x5212),x5212)+P9(f12(x5211,x5211,x5212),f3(x5212),x5212) % 0.63/0.88 [522]~P20(x5222)+~P8(x5221,f3(x5222),x5222)+P8(f12(x5221,x5221,x5222),f3(x5222),x5222) % 0.63/0.88 [574]~P48(x5742)+~P9(f12(x5741,x5741,x5742),f3(x5742),x5742)+P9(x5741,f3(x5742),x5742) % 0.63/0.88 [575]~P20(x5752)+~P9(f12(x5751,x5751,x5752),f3(x5752),x5752)+P9(x5751,f3(x5752),x5752) % 0.63/0.88 [576]~P20(x5762)+~P8(f12(x5761,x5761,x5762),f3(x5762),x5762)+P8(x5761,f3(x5762),x5762) % 0.63/0.88 [577]~P20(x5771)+~P9(f3(x5771),f12(x5772,x5772,x5771),x5771)+P9(f3(x5771),x5772,x5771) % 0.63/0.88 [578]~P20(x5781)+~P8(f3(x5781),f12(x5782,x5782,x5781),x5781)+P8(f3(x5781),x5782,x5781) % 0.63/0.88 [297]~P42(x2972)+E(x2971,f3(x2972))+E(f4(f4(x2971,x2972),x2972),x2971) % 0.63/0.88 [298]~P26(x2982)+E(x2981,f3(x2982))+E(f15(f11(x2981,x2982),x2982),f9(a1)) % 0.63/0.88 [299]~P3(x2992)+~P42(x2992)+E(f4(f4(x2991,x2992),x2992),x2991) % 0.63/0.88 [351]~P39(x3512)+~P6(x3512)+E(f12(x3511,f3(x3512),x3512),x3511) % 0.63/0.88 [358]~P3(x3582)+~P40(x3582)+E(f8(x3581,f3(x3582),x3582),f3(x3582)) % 0.63/0.88 [369]~P35(x3692)+E(x3691,f3(x3692))+E(f15(f4(x3691,x3692),x3692),f4(f15(x3691,x3692),a1)) % 0.63/0.88 [370]~P3(x3702)+~P35(x3702)+E(f15(f4(x3701,x3702),x3702),f4(f15(x3701,x3702),a1)) % 0.63/0.88 [376]~P42(x3762)+E(x3761,f3(x3762))+E(f10(x3761,f4(x3761,x3762),x3762),f9(x3762)) % 0.63/0.88 [377]~P40(x3772)+E(x3771,f3(x3772))+E(f10(f4(x3771,x3772),x3771,x3772),f9(x3772)) % 0.63/0.88 [378]~P42(x3782)+E(x3781,f3(x3782))+E(f10(f4(x3781,x3782),x3781,x3782),f9(x3782)) % 0.63/0.88 [468]~P3(x4681)+~P40(x4681)+E(f8(f10(f3(x4681),x4682,x4681),x4682,x4681),f3(x4681)) % 0.63/0.88 [398]P8(x3982,x3981,x3983)+~P32(x3983)+P9(x3981,x3982,x3983) % 0.63/0.88 [400]P8(x4002,x4001,x4003)+~P32(x4003)+P8(x4001,x4002,x4003) % 0.63/0.88 [415]~P31(x4153)+~P9(x4151,x4152,x4153)+P8(x4151,x4152,x4153) % 0.63/0.88 [416]~P33(x4163)+~P9(x4161,x4162,x4163)+P8(x4161,x4162,x4163) % 0.63/0.88 [441]~P9(x4413,x4412,x4411)+~P31(x4411)+~P9(x4412,x4413,x4411) % 0.63/0.88 [443]~P9(x4433,x4432,x4431)+~P33(x4431)+~P9(x4432,x4433,x4431) % 0.63/0.88 [444]~P8(x4443,x4442,x4441)+~P33(x4441)+~P9(x4442,x4443,x4441) % 0.63/0.88 [445]~P9(x4453,x4452,x4451)+~P32(x4451)+~P9(x4452,x4453,x4451) % 0.63/0.88 [447]~P8(x4473,x4472,x4471)+~P32(x4471)+~P9(x4472,x4473,x4471) % 0.63/0.88 [492]~P8(x4921,x4923,a1)+P8(x4921,x4922,a1)+~P8(x4923,x4922,a1) % 0.63/0.88 [390]~P42(x3902)+~E(f10(x3901,x3903,x3902),f9(x3902))+E(f4(x3901,x3902),x3903) % 0.63/0.88 [426]~P7(x4263)+~P10(x4262,x4261,x4263)+E(f6(x4261,x4262,x4263),f3(x4263)) % 0.63/0.88 [427]~P7(x4273)+P10(x4271,x4272,x4273)+~E(f6(x4272,x4271,x4273),f3(x4273)) % 0.63/0.88 [414]~P39(x4142)+E(x4141,f3(x4142))+E(f14(f16(x4141,x4143,x4142),x4142),f14(x4143,x4142)) % 0.63/0.88 [438]~P7(x4382)+E(x4381,f3(x4382))+E(f7(f10(x4383,x4381,x4382),x4381,x4382),x4383) % 0.63/0.88 [439]~P40(x4392)+E(x4391,f3(x4392))+E(f8(f10(x4393,x4391,x4392),x4391,x4392),x4393) % 0.63/0.88 [440]~P7(x4402)+E(x4401,f3(x4402))+E(f7(f10(x4401,x4403,x4402),x4401,x4402),x4403) % 0.63/0.88 [462]~P3(x4623)+~P40(x4623)+E(f4(f8(x4621,x4622,x4623),x4623),f8(x4622,x4621,x4623)) % 0.63/0.88 [509]~P3(x5092)+~P40(x5092)+E(f10(f4(x5091,x5092),f4(x5093,x5092),x5092),f4(f10(x5091,x5093,x5092),x5092)) % 0.63/0.88 [514]~P7(x5143)+~P10(x5141,x5142,x5143)+E(f10(x5141,f7(x5142,x5141,x5143),x5143),x5142) % 0.63/0.88 [515]~P7(x5153)+~P10(x5152,x5151,x5153)+E(f10(f7(x5151,x5152,x5153),x5152,x5153),x5151) % 0.63/0.88 [545]~P40(x5452)+~P10(f16(f3(x5452),x5453,x5452),x5451,f19(x5452))+E(x5451,f3(f19(x5452))) % 0.63/0.88 [550]~P40(x5503)+~P10(x5502,f3(f19(x5503)),f19(x5503))+P10(f16(x5501,x5502,x5503),f3(f19(x5503)),f19(x5503)) % 0.63/0.88 [585]~P7(x5852)+E(x5851,f3(x5852))+E(f7(f12(x5853,x5851,x5852),x5851,x5852),f12(f7(x5853,x5851,x5852),f9(x5852),x5852)) % 0.63/0.88 [586]~P7(x5862)+E(x5861,f3(x5862))+E(f7(f12(x5861,x5863,x5862),x5861,x5862),f12(f7(x5863,x5861,x5862),f9(x5862),x5862)) % 0.63/0.88 [708]~P49(x7082)+E(x7081,f3(x7082))+~E(f12(f10(x7083,x7083,x7082),f10(x7081,x7081,x7082),x7082),f3(x7082)) % 0.63/0.88 [709]~P49(x7092)+E(x7091,f3(x7092))+~E(f12(f10(x7091,x7091,x7092),f10(x7093,x7093,x7092),x7092),f3(x7092)) % 0.63/0.88 [821]~P49(x8212)+E(x8211,f3(x8212))+P9(f3(x8212),f12(f10(x8213,x8213,x8212),f10(x8211,x8211,x8212),x8212),x8212) % 0.63/0.88 [822]~P49(x8222)+E(x8221,f3(x8222))+P9(f3(x8222),f12(f10(x8221,x8221,x8222),f10(x8223,x8223,x8222),x8222),x8222) % 0.63/0.88 [860]~P49(x8602)+E(x8601,f3(x8602))+~P8(f12(f10(x8603,x8603,x8602),f10(x8601,x8601,x8602),x8602),f3(x8602),x8602) % 0.63/0.88 [861]~P49(x8612)+E(x8611,f3(x8612))+~P8(f12(f10(x8611,x8611,x8612),f10(x8613,x8613,x8612),x8612),f3(x8612),x8612) % 0.63/0.88 [844]~P2(x8443)+~P9(x8441,x8442,x8443)+P9(x8441,f8(f12(x8441,x8442,x8443),f12(f9(x8443),f9(x8443),x8443),x8443),x8443) % 0.63/0.88 [845]~P2(x8453)+~P9(x8451,x8452,x8453)+P9(f8(f12(x8451,x8452,x8453),f12(f9(x8453),f9(x8453),x8453),x8453),x8452,x8453) % 0.63/0.88 [449]~P16(x4494)+E(x4491,x4492)+~E(f12(x4493,x4491,x4494),f12(x4493,x4492,x4494)) % 0.63/0.88 [450]~P17(x4504)+E(x4501,x4502)+~E(f12(x4503,x4501,x4504),f12(x4503,x4502,x4504)) % 0.63/0.88 [451]~P17(x4514)+E(x4511,x4512)+~E(f12(x4511,x4513,x4514),f12(x4512,x4513,x4514)) % 0.63/0.88 [512]~P25(x5124)+~P10(x5121,x5123,x5124)+P10(x5121,f10(x5122,x5123,x5124),x5124) % 0.63/0.88 [513]~P25(x5134)+~P10(x5131,x5132,x5134)+P10(x5131,f10(x5132,x5133,x5134),x5134) % 0.63/0.88 [517]~P25(x5174)+~P10(x5171,x5173,f19(x5174))+P10(x5171,f16(x5172,x5173,x5174),f19(x5174)) % 0.63/0.88 [548]~P25(x5483)+P10(x5481,x5482,x5483)+~P10(f10(x5484,x5481,x5483),x5482,x5483) % 0.63/0.88 [549]~P25(x5493)+P10(x5491,x5492,x5493)+~P10(f10(x5491,x5494,x5493),x5492,x5493) % 0.63/0.88 [573]~P25(x5733)+~P10(f16(x5734,x5731,x5733),x5732,f19(x5733))+P10(x5731,x5732,f19(x5733)) % 0.63/0.88 [605]~P4(x6053)+~P9(x6051,x6054,x6053)+P9(f12(x6051,x6052,x6053),f12(x6054,x6052,x6053),x6053) % 0.63/0.88 [606]~P29(x6063)+~P9(x6061,x6064,x6063)+P9(f12(x6061,x6062,x6063),f12(x6064,x6062,x6063),x6063) % 0.63/0.88 [607]~P4(x6073)+~P9(x6072,x6074,x6073)+P9(f12(x6071,x6072,x6073),f12(x6071,x6074,x6073),x6073) % 0.63/0.88 [608]~P29(x6083)+~P9(x6082,x6084,x6083)+P9(f12(x6081,x6082,x6083),f12(x6081,x6084,x6083),x6083) % 0.63/0.88 [609]~P4(x6093)+~P8(x6091,x6094,x6093)+P8(f12(x6091,x6092,x6093),f12(x6094,x6092,x6093),x6093) % 0.63/0.88 [610]~P23(x6103)+~P8(x6101,x6104,x6103)+P8(f12(x6101,x6102,x6103),f12(x6104,x6102,x6103),x6103) % 0.63/0.88 [611]~P4(x6113)+~P8(x6112,x6114,x6113)+P8(f12(x6111,x6112,x6113),f12(x6111,x6114,x6113),x6113) % 0.63/0.88 [612]~P23(x6123)+~P8(x6122,x6124,x6123)+P8(f12(x6121,x6122,x6123),f12(x6121,x6124,x6123),x6123) % 0.63/0.88 [613]~P39(x6133)+~P10(x6131,x6134,x6133)+P10(f10(x6131,x6132,x6133),f10(x6134,x6132,x6133),x6133) % 0.63/0.88 [614]~P39(x6143)+~P10(x6142,x6144,x6143)+P10(f10(x6141,x6142,x6143),f10(x6141,x6144,x6143),x6143) % 0.63/0.88 [743]~P4(x7433)+P9(x7431,x7432,x7433)+~P9(f12(x7434,x7431,x7433),f12(x7434,x7432,x7433),x7433) % 0.63/0.88 [744]~P4(x7443)+P9(x7441,x7442,x7443)+~P9(f12(x7441,x7444,x7443),f12(x7442,x7444,x7443),x7443) % 0.63/0.88 [745]~P4(x7453)+P8(x7451,x7452,x7453)+~P8(f12(x7454,x7451,x7453),f12(x7454,x7452,x7453),x7453) % 0.63/0.88 [746]~P4(x7463)+P8(x7461,x7462,x7463)+~P8(f12(x7461,x7464,x7463),f12(x7462,x7464,x7463),x7463) % 0.63/0.88 [508]~P40(x5082)+E(x5081,f3(x5082))+E(f6(x5083,f16(x5081,x5084,x5082),f19(x5082)),f6(x5083,x5084,f19(x5082))) % 0.63/0.88 [547]~P7(x5473)+~P10(x5474,x5472,x5473)+E(f6(f6(x5471,x5472,x5473),x5474,x5473),f6(x5471,x5474,x5473)) % 0.63/0.88 [579]~P7(x5792)+E(x5791,f3(x5792))+E(f7(f10(x5793,x5791,x5792),f10(x5794,x5791,x5792),x5792),f7(x5793,x5794,x5792)) % 0.63/0.88 [580]~P7(x5802)+E(x5801,f3(x5802))+E(f7(f10(x5801,x5803,x5802),f10(x5801,x5804,x5802),x5802),f7(x5803,x5804,x5802)) % 0.63/0.88 [581]~P3(x5813)+~P40(x5813)+E(f8(f10(x5811,x5812,x5813),x5814,x5813),f10(f8(x5811,x5814,x5813),x5812,x5813)) % 0.63/0.88 [691]~P7(x6913)+~P10(x6914,x6911,x6913)+E(f7(f10(x6911,x6912,x6913),x6914,x6913),f10(f7(x6911,x6914,x6913),x6912,x6913)) % 0.63/0.88 [787]~P39(x7873)+~P6(x7873)+E(f12(f10(x7871,x7872,x7873),f10(x7871,x7874,x7873),x7873),f12(f10(x7871,x7874,x7873),f10(x7871,x7872,x7873),x7873)) % 0.63/0.88 [869]E(x8691,x8692)+~P40(x8693)+~P11(x8692,f3(f19(x8693)),x8694,x8691,x8693) % 0.63/0.88 [871]~P40(x8712)+~P11(x8713,f3(f19(x8712)),x8711,x8714,x8712)+E(x8711,f3(f19(x8712))) % 0.63/0.88 [872]~P40(x8722)+~P11(f3(f19(x8722)),x8723,x8724,x8721,x8722)+E(x8721,f3(f19(x8722))) % 0.63/0.88 [873]~P40(x8732)+~P11(f3(f19(x8732)),x8733,x8731,x8734,x8732)+E(x8731,f3(f19(x8732))) % 0.63/0.88 [659]~P40(x6592)+E(x6591,f3(x6592))+E(f16(f4(x6591,x6592),f7(x6593,x6594,f19(x6592)),x6592),f7(x6593,f16(x6591,x6594,x6592),f19(x6592))) % 0.63/0.88 [783]~P7(x7832)+E(x7831,f3(x7832))+E(f7(f12(x7833,f10(x7834,x7831,x7832),x7832),x7831,x7832),f12(x7834,f7(x7833,x7831,x7832),x7832)) % 0.63/0.88 [784]~P7(x7842)+E(x7841,f3(x7842))+E(f7(f12(x7843,f10(x7841,x7844,x7842),x7842),x7841,x7842),f12(x7844,f7(x7843,x7841,x7842),x7842)) % 0.63/0.88 [688]~P13(x6883)+E(f12(x6881,x6882,x6883),x6884)+~E(f12(x6881,f12(x6885,x6882,x6883),x6883),f12(x6885,x6884,x6883)) % 0.63/0.88 [785]~P3(x7853)+~P40(x7853)+E(f8(f10(x7851,x7852,x7853),f10(x7854,x7855,x7853),x7853),f10(f8(x7851,x7854,x7853),f8(x7852,x7855,x7853),x7853)) % 0.63/0.88 [874]~P40(x8743)+~P11(x8741,x8742,x8745,x8744,x8743)+E(f6(x8741,x8742,f19(x8743)),x8744) % 0.63/0.88 [875]~P40(x8753)+~P11(x8751,x8752,x8754,x8755,x8753)+E(f7(x8751,x8752,f19(x8753)),x8754) % 0.63/0.88 [878]~P40(x8783)+~P11(x8782,x8784,x8785,x8786,x8783)+P11(f16(x8781,x8782,x8783),x8784,f16(x8781,x8785,x8783),f16(x8781,x8786,x8783),x8783) % 0.63/0.88 [296]~P3(x2962)+~P40(x2962)+~E(f4(x2961,x2962),f9(x2962))+E(x2961,f9(x2962)) % 0.63/0.88 [350]~E(f24(x3502),f3(a18))+E(x3501,f3(a18))+E(f13(x3502,x3501,a18),f3(a18))+~P39(a18) % 0.63/0.88 [408]~P56(x4082)+~P9(f3(x4082),x4081,x4082)+E(f11(x4081,x4082),f9(x4082))+E(x4081,f3(x4082)) % 0.63/0.88 [470]~P2(x4701)+~P3(x4701)+~P8(f3(x4701),x4702,x4701)+P8(f3(x4701),f4(x4702,x4701),x4701) % 0.63/0.88 [472]~P2(x4722)+~P3(x4722)+~P8(x4721,f3(x4722),x4722)+P9(f4(x4721,x4722),f9(x4722),x4722) % 0.63/0.88 [473]~P2(x4732)+~P3(x4732)+~P8(x4731,f3(x4732),x4732)+P8(f4(x4731,x4732),f3(x4732),x4732) % 0.63/0.88 [474]~P2(x4742)+~P3(x4742)+~P8(x4741,f3(x4742),x4742)+P8(f4(x4741,x4742),f9(x4742),x4742) % 0.63/0.88 [475]~P2(x4752)+~P3(x4752)+~P9(f9(x4752),x4751,x4752)+P9(f4(x4751,x4752),f9(x4752),x4752) % 0.63/0.88 [476]~P2(x4762)+~P3(x4762)+~P8(f9(x4762),x4761,x4762)+P8(f4(x4761,x4762),f9(x4762),x4762) % 0.63/0.88 [482]~P2(x4822)+~P9(f4(x4821,x4822),f3(x4822),x4822)+P9(x4821,f3(x4822),x4822)+E(x4821,f3(x4822)) % 0.63/0.88 [483]~P2(x4832)+~P9(f3(x4832),f4(x4831,x4832),x4832)+P9(f3(x4832),x4831,x4832)+E(x4831,f3(x4832)) % 0.63/0.88 [484]~P2(x4842)+~P3(x4842)+~P9(f9(x4842),f4(x4841,x4842),x4842)+P9(x4841,f9(x4842),x4842) % 0.63/0.88 [485]~P2(x4852)+~P3(x4852)+~P8(f9(x4852),f4(x4851,x4852),x4852)+P8(x4851,f9(x4852),x4852) % 0.63/0.88 [486]~P2(x4862)+~P3(x4862)+~P9(f4(x4861,x4862),f3(x4862),x4862)+P9(x4861,f3(x4862),x4862) % 0.63/0.88 [487]~P2(x4872)+~P3(x4872)+~P8(f4(x4871,x4872),f3(x4872),x4872)+P8(x4871,f3(x4872),x4872) % 0.63/0.88 [488]~P2(x4881)+~P3(x4881)+~P9(f3(x4881),f4(x4882,x4881),x4881)+P9(f3(x4881),x4882,x4881) % 0.63/0.88 [489]~P2(x4891)+~P3(x4891)+~P9(f9(x4891),f4(x4892,x4891),x4891)+P9(f3(x4891),x4892,x4891) % 0.63/0.88 [490]~P2(x4901)+~P3(x4901)+~P8(f9(x4901),f4(x4902,x4901),x4901)+P9(f3(x4901),x4902,x4901) % 0.63/0.88 [491]~P2(x4911)+~P3(x4911)+~P8(f3(x4911),f4(x4912,x4911),x4911)+P8(f3(x4911),x4912,x4911) % 0.63/0.88 [529]~P2(x5291)+~P3(x5291)+~P9(f3(x5291),x5292,x5291)+P9(f3(x5291),f8(f9(x5291),x5292,x5291),x5291) % 0.63/0.88 [530]~P2(x5301)+~P3(x5301)+~P8(f3(x5301),x5302,x5301)+P8(f3(x5301),f8(f9(x5301),x5302,x5301),x5301) % 0.63/0.88 [531]~P2(x5311)+~P3(x5311)+~P9(x5312,f3(x5311),x5311)+P9(f8(f9(x5311),x5312,x5311),f3(x5311),x5311) % 0.63/0.88 [532]~P2(x5321)+~P3(x5321)+~P8(x5322,f3(x5321),x5321)+P8(f8(f9(x5321),x5322,x5321),f3(x5321),x5321) % 0.63/0.88 [597]~P2(x5972)+~P3(x5972)+P9(x5971,f3(x5972),x5972)+~P9(f8(f9(x5972),x5971,x5972),f3(x5972),x5972) % 0.63/0.88 [598]~P2(x5982)+~P3(x5982)+P8(x5981,f3(x5982),x5982)+~P8(f8(f9(x5982),x5981,x5982),f3(x5982),x5982) % 0.63/0.88 [599]~P2(x5991)+~P3(x5991)+P9(f3(x5991),x5992,x5991)+~P9(f3(x5991),f8(f9(x5991),x5992,x5991),x5991) % 0.63/0.88 [600]~P2(x6001)+~P3(x6001)+P8(f3(x6001),x6002,x6001)+~P8(f3(x6001),f8(f9(x6001),x6002,x6001),x6001) % 0.63/0.88 [401]P9(x4011,x4012,x4013)+~P48(x4013)+E(x4011,x4012)+P9(x4012,x4011,x4013) % 0.63/0.88 [405]P9(x4051,x4052,x4053)+~P32(x4053)+E(x4051,x4052)+P9(x4052,x4051,x4053) % 0.63/0.88 [423]~P31(x4233)+~P8(x4231,x4232,x4233)+E(x4231,x4232)+P9(x4231,x4232,x4233) % 0.63/0.88 [425]~P32(x4253)+~P8(x4251,x4252,x4253)+E(x4251,x4252)+P9(x4251,x4252,x4253) % 0.63/0.88 [455]~P8(x4552,x4551,x4553)+~P8(x4551,x4552,x4553)+E(x4551,x4552)+~P31(x4553) % 0.63/0.88 [478]P8(x4782,x4781,x4783)+~P33(x4783)+~P8(x4781,x4782,x4783)+P9(x4781,x4782,x4783) % 0.63/0.88 [300]~P3(x3003)+~P42(x3003)+E(x3001,x3002)+~E(f4(x3001,x3003),f4(x3002,x3003)) % 0.63/0.88 [382]~P40(x3823)+E(x3821,x3822)+~E(f8(x3821,x3822,x3823),f9(x3823))+E(x3822,f3(x3823)) % 0.63/0.88 [383]~P39(x3832)+~P6(x3832)+~E(f12(x3833,x3831,x3832),x3833)+E(x3831,f3(x3832)) % 0.63/0.88 [386]~P43(x3862)+~E(f10(x3863,x3861,x3862),f3(x3862))+E(x3861,f3(x3862))+E(x3863,f3(x3862)) % 0.63/0.88 [387]~P52(x3872)+~E(f10(x3873,x3871,x3872),f3(x3872))+E(x3871,f3(x3872))+E(x3873,f3(x3872)) % 0.63/0.88 [535]~P2(x5352)+~P9(x5353,x5351,x5352)+~P9(x5351,f3(x5352),x5352)+P9(f4(x5351,x5352),f4(x5353,x5352),x5352) % 0.63/0.88 [536]~P2(x5362)+~P8(x5363,x5361,x5362)+~P9(x5361,f3(x5362),x5362)+P8(f4(x5361,x5362),f4(x5363,x5362),x5362) % 0.63/0.88 [537]~P2(x5372)+~P9(x5373,x5371,x5372)+~P9(f3(x5372),x5373,x5372)+P9(f4(x5371,x5372),f4(x5373,x5372),x5372) % 0.63/0.88 [538]~P2(x5382)+~P8(x5383,x5381,x5382)+~P9(f3(x5382),x5383,x5382)+P8(f4(x5381,x5382),f4(x5383,x5382),x5382) % 0.63/0.88 [551]~P2(x5513)+P9(x5511,x5512,x5513)+~P9(x5511,f3(x5513),x5513)+~P9(f4(x5512,x5513),f4(x5511,x5513),x5513) % 0.63/0.88 [552]~P2(x5523)+P8(x5521,x5522,x5523)+~P9(x5521,f3(x5523),x5523)+~P8(f4(x5522,x5523),f4(x5521,x5523),x5523) % 0.63/0.88 [553]~P2(x5533)+P9(x5531,x5532,x5533)+~P9(f3(x5533),x5532,x5533)+~P9(f4(x5532,x5533),f4(x5531,x5533),x5533) % 0.63/0.88 [554]~P2(x5543)+P8(x5541,x5542,x5543)+~P9(f3(x5543),x5542,x5543)+~P8(f4(x5542,x5543),f4(x5541,x5543),x5543) % 0.63/0.88 [615]~P49(x6151)+~P9(x6153,f3(x6151),x6151)+~P9(x6152,f3(x6151),x6151)+P9(f3(x6151),f10(x6152,x6153,x6151),x6151) % 0.63/0.88 [616]~P2(x6161)+~P9(x6163,f3(x6161),x6161)+~P9(x6162,f3(x6161),x6161)+P9(f3(x6161),f8(x6162,x6163,x6161),x6161) % 0.63/0.88 [617]~P49(x6171)+~P8(x6173,f3(x6171),x6171)+~P8(x6172,f3(x6171),x6171)+P8(f3(x6171),f10(x6172,x6173,x6171),x6171) % 0.63/0.88 [619]~P53(x6191)+~P8(x6193,f3(x6191),x6191)+~P8(x6192,f3(x6191),x6191)+P8(f3(x6191),f10(x6192,x6193,x6191),x6191) % 0.63/0.88 [620]~P2(x6201)+~P9(x6203,f3(x6201),x6201)+~P8(x6202,f3(x6201),x6201)+P8(f3(x6201),f8(x6202,x6203,x6201),x6201) % 0.63/0.88 [621]~P1(x6211)+~P9(f3(x6211),x6213,x6211)+~P9(f3(x6211),x6212,x6211)+P9(f3(x6211),f10(x6212,x6213,x6211),x6211) % 0.63/0.88 [622]~P2(x6221)+~P9(f3(x6221),x6223,x6221)+~P9(f3(x6221),x6222,x6221)+P9(f3(x6221),f8(x6222,x6223,x6221),x6221) % 0.63/0.88 [623]~P30(x6231)+~P9(f3(x6231),x6233,x6231)+~P9(f3(x6231),x6232,x6231)+P9(f3(x6231),f12(x6232,x6233,x6231),x6231) % 0.63/0.88 [624]~P30(x6241)+~P9(f3(x6241),x6243,x6241)+~P8(f3(x6241),x6242,x6241)+P9(f3(x6241),f12(x6242,x6243,x6241),x6241) % 0.63/0.88 [625]~P30(x6251)+~P9(f3(x6251),x6252,x6251)+~P8(f3(x6251),x6253,x6251)+P9(f3(x6251),f12(x6252,x6253,x6251),x6251) % 0.63/0.88 [626]~P51(x6261)+~P9(f9(x6261),x6263,x6261)+~P9(f9(x6261),x6262,x6261)+P9(f9(x6261),f10(x6262,x6263,x6261),x6261) % 0.63/0.88 [627]~P49(x6271)+~P8(f3(x6271),x6273,x6271)+~P8(f3(x6271),x6272,x6271)+P8(f3(x6271),f10(x6272,x6273,x6271),x6271) % 0.63/0.88 [628]~P53(x6281)+~P8(f3(x6281),x6283,x6281)+~P8(f3(x6281),x6282,x6281)+P8(f3(x6281),f10(x6282,x6283,x6281),x6281) % 0.63/0.88 [629]~P54(x6291)+~P8(f3(x6291),x6293,x6291)+~P8(f3(x6291),x6292,x6291)+P8(f3(x6291),f10(x6292,x6293,x6291),x6291) % 0.63/0.88 [630]~P2(x6301)+~P9(f3(x6301),x6303,x6301)+~P8(f3(x6301),x6302,x6301)+P8(f3(x6301),f8(x6302,x6303,x6301),x6301) % 0.63/0.88 [631]~P30(x6311)+~P8(f3(x6311),x6313,x6311)+~P8(f3(x6311),x6312,x6311)+P8(f3(x6311),f12(x6312,x6313,x6311),x6311) % 0.63/0.88 [632]~P30(x6323)+~P9(x6322,f3(x6323),x6323)+~P9(x6321,f3(x6323),x6323)+P9(f12(x6321,x6322,x6323),f3(x6323),x6323) % 0.63/0.88 [633]~P30(x6333)+~P9(x6332,f3(x6333),x6333)+~P8(x6331,f3(x6333),x6333)+P9(f12(x6331,x6332,x6333),f3(x6333),x6333) % 0.63/0.88 [634]~P30(x6343)+~P9(x6341,f3(x6343),x6343)+~P8(x6342,f3(x6343),x6343)+P9(f12(x6341,x6342,x6343),f3(x6343),x6343) % 0.63/0.88 [635]~P30(x6353)+~P8(x6352,f3(x6353),x6353)+~P8(x6351,f3(x6353),x6353)+P8(f12(x6351,x6352,x6353),f3(x6353),x6353) % 0.63/0.88 [636]~P1(x6363)+~P9(x6362,f3(x6363),x6363)+~P9(f3(x6363),x6361,x6363)+P9(f10(x6361,x6362,x6363),f3(x6363),x6363) % 0.63/0.88 [638]~P1(x6383)+~P9(x6381,f3(x6383),x6383)+~P9(f3(x6383),x6382,x6383)+P9(f10(x6381,x6382,x6383),f3(x6383),x6383) % 0.63/0.88 [639]~P2(x6393)+~P9(x6392,f3(x6393),x6393)+~P9(f3(x6393),x6391,x6393)+P9(f8(x6391,x6392,x6393),f3(x6393),x6393) % 0.63/0.88 [640]~P2(x6403)+~P9(x6401,f3(x6403),x6403)+~P9(f3(x6403),x6402,x6403)+P9(f8(x6401,x6402,x6403),f3(x6403),x6403) % 0.63/0.88 [641]~P49(x6413)+~P8(x6412,f3(x6413),x6413)+~P8(f3(x6413),x6411,x6413)+P8(f10(x6411,x6412,x6413),f3(x6413),x6413) % 0.63/0.88 [642]~P49(x6423)+~P8(x6421,f3(x6423),x6423)+~P8(f3(x6423),x6422,x6423)+P8(f10(x6421,x6422,x6423),f3(x6423),x6423) % 0.63/0.88 [644]~P54(x6443)+~P8(x6442,f3(x6443),x6443)+~P8(f3(x6443),x6441,x6443)+P8(f10(x6441,x6442,x6443),f3(x6443),x6443) % 0.63/0.88 [647]~P54(x6473)+~P8(x6471,f3(x6473),x6473)+~P8(f3(x6473),x6472,x6473)+P8(f10(x6471,x6472,x6473),f3(x6473),x6473) % 0.63/0.88 [648]~P2(x6483)+~P9(x6482,f3(x6483),x6483)+~P8(f3(x6483),x6481,x6483)+P8(f8(x6481,x6482,x6483),f3(x6483),x6483) % 0.63/0.88 [649]~P2(x6493)+~P8(x6491,f3(x6493),x6493)+~P9(f3(x6493),x6492,x6493)+P8(f8(x6491,x6492,x6493),f3(x6493),x6493) % 0.63/0.88 [660]~P49(x6602)+~P8(f10(x6603,x6601,x6602),f3(x6602),x6602)+P8(x6601,f3(x6602),x6602)+P8(x6603,f3(x6602),x6602) % 0.63/0.88 [661]~P49(x6612)+~P8(f3(x6612),f10(x6613,x6611,x6612),x6612)+P8(x6611,f3(x6612),x6612)+P8(f3(x6612),x6613,x6612) % 0.63/0.88 [662]~P49(x6622)+~P8(f3(x6622),f10(x6621,x6623,x6622),x6622)+P8(x6621,f3(x6622),x6622)+P8(f3(x6622),x6623,x6622) % 0.63/0.88 [663]~P49(x6632)+~P8(f3(x6632),f10(x6633,x6631,x6632),x6632)+P8(x6631,f3(x6632),x6632)+P8(f3(x6632),x6631,x6632) % 0.63/0.88 [664]~P49(x6642)+~P8(f3(x6642),f10(x6641,x6643,x6642),x6642)+P8(x6641,f3(x6642),x6642)+P8(f3(x6642),x6641,x6642) % 0.63/0.88 [665]~P49(x6652)+~P8(f10(x6653,x6651,x6652),f3(x6652),x6652)+P8(x6651,f3(x6652),x6652)+P8(f3(x6652),x6651,x6652) % 0.63/0.88 [666]~P49(x6662)+~P8(f10(x6661,x6663,x6662),f3(x6662),x6662)+P8(x6661,f3(x6662),x6662)+P8(f3(x6662),x6661,x6662) % 0.63/0.88 [667]~P49(x6671)+~P8(f10(x6672,x6673,x6671),f3(x6671),x6671)+P8(f3(x6671),x6672,x6671)+P8(f3(x6671),x6673,x6671) % 0.63/0.88 [692]~P1(x6921)+~P9(f3(x6921),f10(x6923,x6922,x6921),x6921)+P9(f3(x6921),x6922,x6921)+~P9(f3(x6921),x6923,x6921) % 0.63/0.88 [693]~P1(x6931)+~P9(f3(x6931),f10(x6932,x6933,x6931),x6931)+P9(f3(x6931),x6932,x6931)+~P9(f3(x6931),x6933,x6931) % 0.63/0.88 [407]~P39(x4072)+E(x4071,f3(x4072))+~E(f16(x4071,x4073,x4072),f3(f19(x4072)))+E(x4073,f3(f19(x4072))) % 0.63/0.88 [458]~P3(x4582)+~P40(x4582)+E(x4581,f3(x4582))+E(f10(f8(x4583,x4581,x4582),x4581,x4582),x4583) % 0.63/0.88 [510]~P42(x5102)+E(x5101,f3(x5102))+E(x5103,f3(x5102))+E(f10(f4(x5101,x5102),f4(x5103,x5102),x5102),f4(f10(x5103,x5101,x5102),x5102)) % 0.63/0.88 [658]~P35(x6582)+~P8(x6583,f15(x6581,x6582),a1)+~P9(f3(a1),x6583,a1)+P8(f15(f4(x6581,x6582),x6582),f4(x6583,a1),a1) % 0.63/0.88 [792]~P42(x7922)+E(x7921,f3(x7922))+E(x7923,f3(x7922))+E(f10(f10(f4(x7923,x7922),f12(x7923,x7921,x7922),x7922),f4(x7921,x7922),x7922),f12(f4(x7923,x7922),f4(x7921,x7922),x7922)) % 0.63/0.88 [793]~P40(x7932)+E(x7931,f3(x7932))+E(x7933,f3(x7932))+E(f10(f10(f12(x7933,x7931,x7932),f4(x7933,x7932),x7932),f4(x7931,x7932),x7932),f12(f4(x7933,x7932),f4(x7931,x7932),x7932)) % 0.63/0.88 [499]~P31(x4993)+~P9(x4991,x4994,x4993)+P9(x4991,x4992,x4993)+~P9(x4994,x4992,x4993) % 0.63/0.88 [500]~P31(x5003)+~P8(x5001,x5004,x5003)+P9(x5001,x5002,x5003)+~P9(x5004,x5002,x5003) % 0.63/0.88 [501]~P31(x5013)+~P8(x5014,x5012,x5013)+P9(x5011,x5012,x5013)+~P9(x5011,x5014,x5013) % 0.63/0.88 [502]~P33(x5023)+~P9(x5021,x5024,x5023)+P9(x5021,x5022,x5023)+~P9(x5024,x5022,x5023) % 0.63/0.88 [503]~P33(x5033)+~P8(x5031,x5034,x5033)+P9(x5031,x5032,x5033)+~P9(x5034,x5032,x5033) % 0.63/0.88 [504]~P33(x5043)+~P8(x5044,x5042,x5043)+P9(x5041,x5042,x5043)+~P9(x5041,x5044,x5043) % 0.63/0.88 [505]~P31(x5053)+~P8(x5051,x5054,x5053)+P8(x5051,x5052,x5053)+~P8(x5054,x5052,x5053) % 0.63/0.88 [506]~P33(x5063)+~P8(x5061,x5064,x5063)+P8(x5061,x5062,x5063)+~P8(x5064,x5062,x5063) % 0.63/0.88 [507]~P25(x5073)+~P10(x5071,x5074,x5073)+P10(x5071,x5072,x5073)+~P10(x5074,x5072,x5073) % 0.63/0.88 [461]~P39(x4614)+~P6(x4614)+E(x4611,x4612)+~E(f12(x4613,x4611,x4614),f12(x4613,x4612,x4614)) % 0.63/0.88 [526]~P40(x5262)+~P10(x5263,x5264,f19(x5262))+P10(x5263,f16(x5261,x5264,x5262),f19(x5262))+E(x5261,f3(x5262)) % 0.63/0.88 [528]~P40(x5282)+~P10(x5283,x5284,f19(x5282))+P10(f16(x5281,x5283,x5282),x5284,f19(x5282))+E(x5281,f3(x5282)) % 0.63/0.88 [583]~P40(x5832)+~P10(x5833,f16(x5831,x5834,x5832),f19(x5832))+P10(x5833,x5834,f19(x5832))+E(x5831,f3(x5832)) % 0.63/0.88 [584]~P40(x5842)+~P10(f16(x5841,x5843,x5842),x5844,f19(x5842))+P10(x5843,x5844,f19(x5842))+E(x5841,f3(x5842)) % 0.63/0.88 [587]~P25(x5874)+~P10(x5871,x5873,x5874)+~P10(x5871,x5872,x5874)+P10(x5871,f12(x5872,x5873,x5874),x5874) % 0.63/0.88 [589]~P7(x5894)+~P10(x5891,x5893,x5894)+~P10(x5891,x5892,x5894)+P10(x5891,f6(x5892,x5893,x5894),x5894) % 0.63/0.88 [596]~P51(x5964)+~P9(x5961,x5963,x5964)+~P9(f3(x5964),x5962,x5964)+P9(x5961,f12(x5962,x5963,x5964),x5964) % 0.63/0.88 [690]~P7(x6903)+P10(x6901,x6902,x6903)+~P10(x6901,x6904,x6903)+~P10(x6901,f6(x6902,x6904,x6903),x6903) % 0.63/0.88 [722]~P49(x7223)+~P9(x7224,x7221,x7223)+~P9(x7222,f3(x7223),x7223)+P9(f10(x7221,x7222,x7223),f10(x7224,x7222,x7223),x7223) % 0.63/0.88 [725]~P49(x7253)+~P9(x7254,x7252,x7253)+~P9(x7251,f3(x7253),x7253)+P9(f10(x7251,x7252,x7253),f10(x7251,x7254,x7253),x7253) % 0.63/0.88 [726]~P2(x7263)+~P9(x7264,x7261,x7263)+~P9(x7262,f3(x7263),x7263)+P9(f8(x7261,x7262,x7263),f8(x7264,x7262,x7263),x7263) % 0.63/0.88 [727]~P53(x7273)+~P8(x7274,x7271,x7273)+~P8(x7272,f3(x7273),x7273)+P8(f10(x7271,x7272,x7273),f10(x7274,x7272,x7273),x7273) % 0.63/0.88 [728]~P49(x7283)+~P8(x7284,x7282,x7283)+~P9(x7281,f3(x7283),x7283)+P8(f10(x7281,x7282,x7283),f10(x7281,x7284,x7283),x7283) % 0.63/0.88 [729]~P53(x7293)+~P8(x7294,x7292,x7293)+~P8(x7291,f3(x7293),x7293)+P8(f10(x7291,x7292,x7293),f10(x7291,x7294,x7293),x7293) % 0.63/0.88 [730]~P1(x7303)+~P9(x7301,x7304,x7303)+~P9(f3(x7303),x7302,x7303)+P9(f10(x7301,x7302,x7303),f10(x7304,x7302,x7303),x7303) % 0.63/0.88 [731]~P49(x7313)+~P9(x7311,x7314,x7313)+~P9(f3(x7313),x7312,x7313)+P9(f10(x7311,x7312,x7313),f10(x7314,x7312,x7313),x7313) % 0.63/0.88 [732]~P1(x7323)+~P9(x7322,x7324,x7323)+~P9(f3(x7323),x7321,x7323)+P9(f10(x7321,x7322,x7323),f10(x7321,x7324,x7323),x7323) % 0.63/0.88 [734]~P49(x7343)+~P9(x7342,x7344,x7343)+~P9(f3(x7343),x7341,x7343)+P9(f10(x7341,x7342,x7343),f10(x7341,x7344,x7343),x7343) % 0.63/0.88 [735]~P47(x7353)+~P9(x7352,x7354,x7353)+~P9(f3(x7353),x7351,x7353)+P9(f10(x7351,x7352,x7353),f10(x7351,x7354,x7353),x7353) % 0.63/0.88 [736]~P2(x7363)+~P9(x7361,x7364,x7363)+~P9(f3(x7363),x7362,x7363)+P9(f8(x7361,x7362,x7363),f8(x7364,x7362,x7363),x7363) % 0.63/0.88 [737]~P46(x7373)+~P8(x7371,x7374,x7373)+~P8(f3(x7373),x7372,x7373)+P8(f10(x7371,x7372,x7373),f10(x7374,x7372,x7373),x7373) % 0.63/0.88 [738]~P49(x7383)+~P8(x7382,x7384,x7383)+~P9(f3(x7383),x7381,x7383)+P8(f10(x7381,x7382,x7383),f10(x7381,x7384,x7383),x7383) % 0.63/0.88 [739]~P45(x7393)+~P8(x7392,x7394,x7393)+~P8(f3(x7393),x7391,x7393)+P8(f10(x7391,x7392,x7393),f10(x7391,x7394,x7393),x7393) % 0.63/0.88 [740]~P46(x7403)+~P8(x7402,x7404,x7403)+~P8(f3(x7403),x7401,x7403)+P8(f10(x7401,x7402,x7403),f10(x7401,x7404,x7403),x7403) % 0.63/0.88 [747]~P39(x7472)+P10(x7473,x7474,x7472)+~P10(f10(x7471,x7473,x7472),f10(x7471,x7474,x7472),x7472)+E(x7471,f3(x7472)) % 0.63/0.88 [748]~P39(x7482)+P10(x7483,x7484,x7482)+~P10(f10(x7483,x7481,x7482),f10(x7484,x7481,x7482),x7482)+E(x7481,f3(x7482)) % 0.63/0.88 [754]~P2(x7544)+~P9(f3(x7544),x7543,x7544)+~P9(f10(x7541,x7543,x7544),x7542,x7544)+P9(x7541,f8(x7542,x7543,x7544),x7544) % 0.63/0.88 [755]~P2(x7554)+~P9(f3(x7554),x7553,x7554)+~P8(f10(x7551,x7553,x7554),x7552,x7554)+P8(x7551,f8(x7552,x7553,x7554),x7554) % 0.63/0.88 [756]~P2(x7563)+~P9(f3(x7563),x7562,x7563)+~P9(x7561,f10(x7564,x7562,x7563),x7563)+P9(f8(x7561,x7562,x7563),x7564,x7563) % 0.63/0.88 [757]~P2(x7573)+~P9(f3(x7573),x7572,x7573)+~P8(x7571,f10(x7574,x7572,x7573),x7573)+P8(f8(x7571,x7572,x7573),x7574,x7573) % 0.63/0.88 [768]P9(x7682,x7681,x7683)+~P49(x7683)+P9(x7681,x7682,x7683)+~P9(f10(x7684,x7681,x7683),f10(x7684,x7682,x7683),x7683) % 0.63/0.88 [769]P9(x7692,x7691,x7693)+~P49(x7693)+P9(x7691,x7692,x7693)+~P9(f10(x7691,x7694,x7693),f10(x7692,x7694,x7693),x7693) % 0.63/0.88 [779]~P49(x7793)+P9(x7791,x7792,x7793)+~P9(f10(x7791,x7794,x7793),f10(x7792,x7794,x7793),x7793)+P9(x7794,f3(x7793),x7793) % 0.63/0.88 [780]~P49(x7803)+P9(x7801,x7802,x7803)+~P9(f10(x7804,x7801,x7803),f10(x7804,x7802,x7803),x7803)+P9(x7804,f3(x7803),x7803) % 0.63/0.88 [781]~P49(x7813)+P9(x7811,x7812,x7813)+~P9(f10(x7814,x7812,x7813),f10(x7814,x7811,x7813),x7813)+P9(f3(x7813),x7814,x7813) % 0.63/0.88 [782]~P49(x7823)+P9(x7821,x7822,x7823)+~P9(f10(x7822,x7824,x7823),f10(x7821,x7824,x7823),x7823)+P9(f3(x7823),x7824,x7823) % 0.63/0.88 [788]~P49(x7882)+~P9(f10(x7883,x7881,x7882),f10(x7884,x7881,x7882),x7882)+P9(x7881,f3(x7882),x7882)+P9(f3(x7882),x7881,x7882) % 0.63/0.88 [789]~P49(x7892)+~P9(f10(x7891,x7893,x7892),f10(x7891,x7894,x7892),x7892)+P9(x7891,f3(x7892),x7892)+P9(f3(x7892),x7891,x7892) % 0.63/0.88 [794]~P49(x7943)+P9(x7941,x7942,x7943)+~P9(f10(x7944,x7942,x7943),f10(x7944,x7941,x7943),x7943)+~P9(x7944,f3(x7943),x7943) % 0.63/0.88 [795]~P49(x7953)+P8(x7951,x7952,x7953)+~P8(f10(x7954,x7952,x7953),f10(x7954,x7951,x7953),x7953)+~P9(x7954,f3(x7953),x7953) % 0.63/0.88 [796]~P1(x7963)+P9(x7961,x7962,x7963)+~P9(f10(x7964,x7961,x7963),f10(x7964,x7962,x7963),x7963)+~P8(f3(x7963),x7964,x7963) % 0.63/0.88 [797]~P1(x7973)+P9(x7971,x7972,x7973)+~P9(f10(x7971,x7974,x7973),f10(x7972,x7974,x7973),x7973)+~P8(f3(x7973),x7974,x7973) % 0.63/0.88 [798]~P49(x7983)+P9(x7981,x7982,x7983)+~P9(f10(x7984,x7981,x7983),f10(x7984,x7982,x7983),x7983)+~P9(f3(x7983),x7984,x7983) % 0.63/0.88 [799]~P50(x7993)+P9(x7991,x7992,x7993)+~P9(f10(x7994,x7991,x7993),f10(x7994,x7992,x7993),x7993)+~P8(f3(x7993),x7994,x7993) % 0.63/0.88 [800]~P50(x8003)+P9(x8001,x8002,x8003)+~P9(f10(x8001,x8004,x8003),f10(x8002,x8004,x8003),x8003)+~P8(f3(x8003),x8004,x8003) % 0.63/0.88 [801]~P1(x8013)+P8(x8011,x8012,x8013)+~P8(f10(x8014,x8011,x8013),f10(x8014,x8012,x8013),x8013)+~P9(f3(x8013),x8014,x8013) % 0.63/0.88 [802]~P1(x8023)+P8(x8021,x8022,x8023)+~P8(f10(x8021,x8024,x8023),f10(x8022,x8024,x8023),x8023)+~P9(f3(x8023),x8024,x8023) % 0.63/0.88 [803]~P49(x8033)+P8(x8031,x8032,x8033)+~P8(f10(x8034,x8031,x8033),f10(x8034,x8032,x8033),x8033)+~P9(f3(x8033),x8034,x8033) % 0.63/0.88 [592]~P3(x5922)+~P40(x5922)+E(x5921,f3(x5922))+E(f8(f10(x5923,x5921,x5922),f10(x5924,x5921,x5922),x5922),f8(x5923,x5924,x5922)) % 0.63/0.88 [593]~P3(x5932)+~P40(x5932)+E(x5931,f3(x5932))+E(f8(f10(x5931,x5933,x5932),f10(x5931,x5934,x5932),x5932),f8(x5933,x5934,x5932)) % 0.63/0.88 [823]~P7(x8233)+~P10(x8232,x8234,x8233)+~P10(x8232,x8231,x8233)+E(f12(f7(x8231,x8232,x8233),f7(x8234,x8232,x8233),x8233),f7(f12(x8231,x8234,x8233),x8232,x8233)) % 0.63/0.88 [790]~P3(x7902)+~P40(x7902)+E(x7901,f3(x7902))+E(f8(f12(x7903,f10(x7904,x7901,x7902),x7902),x7901,x7902),f12(x7904,f8(x7903,x7901,x7902),x7902)) % 0.63/0.88 [791]~P3(x7912)+~P40(x7912)+E(x7911,f3(x7912))+E(f8(f12(x7913,f10(x7914,x7911,x7912),x7912),x7911,x7912),f12(f8(x7913,x7911,x7912),x7914,x7912)) % 0.63/0.88 [710]~P29(x7103)+~P9(x7102,x7105,x7103)+~P9(x7101,x7104,x7103)+P9(f12(x7101,x7102,x7103),f12(x7104,x7105,x7103),x7103) % 0.63/0.88 [711]~P29(x7113)+~P9(x7112,x7115,x7113)+~P8(x7111,x7114,x7113)+P9(f12(x7111,x7112,x7113),f12(x7114,x7115,x7113),x7113) % 0.63/0.88 [712]~P29(x7123)+~P9(x7121,x7124,x7123)+~P8(x7122,x7125,x7123)+P9(f12(x7121,x7122,x7123),f12(x7124,x7125,x7123),x7123) % 0.63/0.88 [713]~P23(x7133)+~P8(x7132,x7135,x7133)+~P8(x7131,x7134,x7133)+P8(f12(x7131,x7132,x7133),f12(x7134,x7135,x7133),x7133) % 0.63/0.88 [714]~P25(x7143)+~P10(x7142,x7145,x7143)+~P10(x7141,x7144,x7143)+P10(f10(x7141,x7142,x7143),f10(x7144,x7145,x7143),x7143) % 0.63/0.88 [753]~P24(x7534)+~P8(x7535,x7533,x7534)+~P8(x7531,f12(x7532,x7535,x7534),x7534)+P8(x7531,f12(x7532,x7533,x7534),x7534) % 0.63/0.88 [839]~P7(x8393)+~P10(x8395,x8392,x8393)+~P10(x8394,x8391,x8393)+E(f7(f10(x8391,x8392,x8393),f10(x8394,x8395,x8393),x8393),f10(f7(x8391,x8394,x8393),f7(x8392,x8395,x8393),x8393)) % 0.63/0.88 [862]~P40(x8622)+E(x8621,f3(x8622))+E(x8623,f3(x8622))+E(f8(f12(f10(x8624,x8621,x8622),f10(x8625,x8623,x8622),x8622),f10(x8623,x8621,x8622),x8622),f12(f8(x8624,x8623,x8622),f8(x8625,x8621,x8622),x8622)) % 0.63/0.88 [836]~P7(x8363)+~E(f6(x8361,x8364,x8363),f6(x8365,x8364,x8363))+~E(f6(x8362,x8364,x8363),f6(x8366,x8364,x8363))+E(f6(f10(x8361,x8362,x8363),x8364,x8363),f6(f10(x8365,x8366,x8363),x8364,x8363)) % 0.63/0.88 [837]~P7(x8373)+~E(f6(x8371,x8374,x8373),f6(x8375,x8374,x8373))+~E(f6(x8372,x8374,x8373),f6(x8376,x8374,x8373))+E(f6(f12(x8371,x8372,x8373),x8374,x8373),f6(f12(x8375,x8376,x8373),x8374,x8373)) % 0.63/0.88 [876]~P40(x8762)+~P11(x8763,x8764,x8765,x8766,x8762)+P11(x8763,f16(x8761,x8764,x8762),f16(f4(x8761,x8762),x8765,x8762),x8766,x8762)+E(x8761,f3(x8762)) % 0.63/0.88 [879]E(x8791,x8792)+~P11(x8794,x8795,x8796,x8791,x8793)+~P11(x8794,x8795,x8797,x8792,x8793)+~P40(x8793) % 0.63/0.88 [880]E(x8801,x8802)+~P11(x8804,x8805,x8802,x8806,x8803)+~P11(x8804,x8805,x8801,x8807,x8803)+~P40(x8803) % 0.63/0.88 [524]~P2(x5242)+~P3(x5242)+P9(f9(x5242),x5241,x5242)+~P9(f4(x5241,x5242),f9(x5242),x5242)+P8(x5241,f3(x5242),x5242) % 0.63/0.88 [525]~P2(x5252)+~P3(x5252)+P8(f9(x5252),x5251,x5252)+~P8(f4(x5251,x5252),f9(x5252),x5252)+P8(x5251,f3(x5252),x5252) % 0.63/0.88 [533]~P2(x5331)+~P3(x5331)+~P9(f3(x5331),x5332,x5331)+~P9(x5332,f9(x5331),x5331)+P9(f9(x5331),f4(x5332,x5331),x5331) % 0.63/0.88 [534]~P2(x5341)+~P3(x5341)+~P9(f3(x5341),x5342,x5341)+~P8(x5342,f9(x5341),x5341)+P8(f9(x5341),f4(x5342,x5341),x5341) % 0.63/0.88 [307]~P42(x3073)+E(x3071,x3072)+~E(f4(x3071,x3073),f4(x3072,x3073))+E(x3072,f3(x3073))+E(x3071,f3(x3073)) % 0.63/0.88 [539]~P30(x5392)+~P8(f3(x5392),x5391,x5392)+~P8(f3(x5392),x5393,x5392)+~E(f12(x5393,x5391,x5392),f3(x5392))+E(x5391,f3(x5392)) % 0.63/0.88 [540]~P30(x5402)+~P8(f3(x5402),x5403,x5402)+~P8(f3(x5402),x5401,x5402)+~E(f12(x5401,x5403,x5402),f3(x5402))+E(x5401,f3(x5402)) % 0.63/0.88 [651]~P2(x6511)+~P3(x6511)+~P8(x6513,f3(x6511),x6511)+~P8(x6512,f3(x6511),x6511)+P8(f3(x6511),f8(x6512,x6513,x6511),x6511) % 0.63/0.88 [653]~P2(x6531)+~P3(x6531)+~P8(f3(x6531),x6533,x6531)+~P8(f3(x6531),x6532,x6531)+P8(f3(x6531),f8(x6532,x6533,x6531),x6531) % 0.63/0.88 [656]~P2(x6563)+~P3(x6563)+~P8(x6562,f3(x6563),x6563)+~P8(f3(x6563),x6561,x6563)+P8(f8(x6561,x6562,x6563),f3(x6563),x6563) % 0.63/0.88 [657]~P2(x6573)+~P3(x6573)+~P8(x6571,f3(x6573),x6573)+~P8(f3(x6573),x6572,x6573)+P8(f8(x6571,x6572,x6573),f3(x6573),x6573) % 0.63/0.88 [672]~P2(x6722)+~P3(x6722)+~P9(f8(x6723,x6721,x6722),f3(x6722),x6722)+P9(x6721,f3(x6722),x6722)+P9(x6723,f3(x6722),x6722) % 0.63/0.88 [673]~P2(x6732)+~P3(x6732)+~P8(f8(x6733,x6731,x6732),f3(x6732),x6732)+P8(x6731,f3(x6732),x6732)+P8(x6733,f3(x6732),x6732) % 0.63/0.88 [674]~P2(x6742)+~P3(x6742)+~P9(f3(x6742),f8(x6743,x6741,x6742),x6742)+P9(x6741,f3(x6742),x6742)+P9(f3(x6742),x6743,x6742) % 0.63/0.88 [675]~P2(x6752)+~P3(x6752)+~P9(f3(x6752),f8(x6751,x6753,x6752),x6752)+P9(x6751,f3(x6752),x6752)+P9(f3(x6752),x6753,x6752) % 0.63/0.88 [676]~P2(x6762)+~P3(x6762)+~P9(f3(x6762),f8(x6763,x6761,x6762),x6762)+P9(x6761,f3(x6762),x6762)+P9(f3(x6762),x6761,x6762) % 0.63/0.88 [677]~P2(x6772)+~P3(x6772)+~P9(f3(x6772),f8(x6771,x6773,x6772),x6772)+P9(x6771,f3(x6772),x6772)+P9(f3(x6772),x6771,x6772) % 0.63/0.88 [678]~P2(x6782)+~P3(x6782)+~P8(f3(x6782),f8(x6783,x6781,x6782),x6782)+P8(x6781,f3(x6782),x6782)+P8(f3(x6782),x6783,x6782) % 0.63/0.88 [679]~P2(x6792)+~P3(x6792)+~P8(f3(x6792),f8(x6791,x6793,x6792),x6792)+P8(x6791,f3(x6792),x6792)+P8(f3(x6792),x6793,x6792) % 0.63/0.88 [680]~P2(x6802)+~P3(x6802)+~P8(f3(x6802),f8(x6803,x6801,x6802),x6802)+P8(x6801,f3(x6802),x6802)+P8(f3(x6802),x6801,x6802) % 0.63/0.88 [681]~P2(x6812)+~P3(x6812)+~P8(f3(x6812),f8(x6811,x6813,x6812),x6812)+P8(x6811,f3(x6812),x6812)+P8(f3(x6812),x6811,x6812) % 0.63/0.88 [682]~P2(x6822)+~P3(x6822)+~P9(f8(x6823,x6821,x6822),f3(x6822),x6822)+P9(x6821,f3(x6822),x6822)+P9(f3(x6822),x6821,x6822) % 0.63/0.88 [683]~P2(x6832)+~P3(x6832)+~P9(f8(x6831,x6833,x6832),f3(x6832),x6832)+P9(x6831,f3(x6832),x6832)+P9(f3(x6832),x6831,x6832) % 0.63/0.88 [684]~P2(x6842)+~P3(x6842)+~P8(f8(x6843,x6841,x6842),f3(x6842),x6842)+P8(x6841,f3(x6842),x6842)+P8(f3(x6842),x6841,x6842) % 0.63/0.88 [685]~P2(x6852)+~P3(x6852)+~P8(f8(x6851,x6853,x6852),f3(x6852),x6852)+P8(x6851,f3(x6852),x6852)+P8(f3(x6852),x6851,x6852) % 0.63/0.88 [686]~P2(x6861)+~P3(x6861)+~P9(f8(x6862,x6863,x6861),f3(x6861),x6861)+P9(f3(x6861),x6862,x6861)+P9(f3(x6861),x6863,x6861) % 0.63/0.88 [687]~P2(x6871)+~P3(x6871)+~P8(f8(x6872,x6873,x6871),f3(x6871),x6871)+P8(f3(x6871),x6872,x6871)+P8(f3(x6871),x6873,x6871) % 0.63/0.88 [719]~P48(x7193)+~P8(x7191,f9(x7193),x7193)+~P8(f3(x7193),x7192,x7193)+~P8(f3(x7193),x7191,x7193)+P8(f10(x7191,x7192,x7193),x7192,x7193) % 0.63/0.88 [720]~P48(x7203)+~P8(x7202,f9(x7203),x7203)+~P8(f3(x7203),x7202,x7203)+~P8(f3(x7203),x7201,x7203)+P8(f10(x7201,x7202,x7203),x7201,x7203) % 0.63/0.88 [601]~P4(x6014)+~P5(x6014)+~P9(x6011,x6013,x6014)+~P8(f3(x6014),x6012,x6014)+P9(x6011,f12(x6012,x6013,x6014),x6014) % 0.63/0.88 [602]~P4(x6024)+~P5(x6024)+~P8(x6021,x6023,x6024)+~P9(f3(x6024),x6022,x6024)+P9(x6021,f12(x6022,x6023,x6024),x6024) % 0.63/0.88 [603]~P4(x6034)+~P5(x6034)+~P8(x6031,x6033,x6034)+~P8(f3(x6034),x6032,x6034)+P8(x6031,f12(x6032,x6033,x6034),x6034) % 0.63/0.88 [604]~P4(x6044)+~P5(x6044)+~P8(x6041,x6042,x6044)+~P8(f3(x6044),x6043,x6044)+P8(x6041,f12(x6042,x6043,x6044),x6044) % 0.63/0.88 [741]~P2(x7413)+~P3(x7413)+~P8(x7414,x7411,x7413)+~P8(x7412,f3(x7413),x7413)+P8(f8(x7411,x7412,x7413),f8(x7414,x7412,x7413),x7413) % 0.63/0.88 [742]~P2(x7423)+~P3(x7423)+~P8(x7421,x7424,x7423)+~P8(f3(x7423),x7422,x7423)+P8(f8(x7421,x7422,x7423),f8(x7424,x7422,x7423),x7423) % 0.63/0.88 [758]~P2(x7584)+~P3(x7584)+~P9(f3(x7584),x7583,x7584)+~P9(f8(x7581,x7583,x7584),x7582,x7584)+P9(x7581,f10(x7582,x7583,x7584),x7584) % 0.63/0.88 [760]~P2(x7604)+~P3(x7604)+~P9(f3(x7604),x7603,x7604)+~P8(f8(x7601,x7603,x7604),x7602,x7604)+P8(x7601,f10(x7602,x7603,x7604),x7604) % 0.63/0.88 [762]~P2(x7623)+~P3(x7623)+~P9(f3(x7623),x7622,x7623)+~P9(x7621,f8(x7624,x7622,x7623),x7623)+P9(f10(x7621,x7622,x7623),x7624,x7623) % 0.63/0.88 [764]~P2(x7643)+~P3(x7643)+~P9(f3(x7643),x7642,x7643)+~P8(x7641,f8(x7644,x7642,x7643),x7643)+P8(f10(x7641,x7642,x7643),x7644,x7643) % 0.63/0.88 [767]~P7(x7673)+~P10(x7672,x7674,x7673)+~P10(x7672,x7671,x7673)+~P10(x7671,x7674,x7673)+P10(f7(x7671,x7672,x7673),f7(x7674,x7672,x7673),x7673) % 0.63/0.88 [835]~P7(x8353)+~P10(x8354,x8351,x8353)+P10(x8351,x8352,x8353)+~P10(x8354,x8352,x8353)+~P10(f7(x8351,x8354,x8353),f7(x8352,x8354,x8353),x8353) % 0.63/0.88 [840]~P2(x8403)+~P9(x8402,x8404,x8403)+~P9(x8401,f3(x8403),x8403)+~P9(f3(x8403),f10(x8402,x8404,x8403),x8403)+P9(f8(x8401,x8402,x8403),f8(x8401,x8404,x8403),x8403) % 0.63/0.88 [841]~P2(x8413)+~P9(x8414,x8412,x8413)+~P9(f3(x8413),x8411,x8413)+~P9(f3(x8413),f10(x8412,x8414,x8413),x8413)+P9(f8(x8411,x8412,x8413),f8(x8411,x8414,x8413),x8413) % 0.63/0.88 [842]~P2(x8423)+~P8(x8424,x8422,x8423)+~P8(f3(x8423),x8421,x8423)+~P9(f3(x8423),f10(x8422,x8424,x8423),x8423)+P8(f8(x8421,x8422,x8423),f8(x8421,x8424,x8423),x8423) % 0.63/0.88 [541]~P40(x5412)+~E(f8(x5414,x5413,x5412),f8(x5415,x5411,x5412))+E(f10(x5414,x5411,x5412),f10(x5415,x5413,x5412))+E(x5411,f3(x5412))+E(x5413,f3(x5412)) % 0.63/0.88 [542]~P40(x5422)+~E(f10(x5424,x5423,x5422),f10(x5425,x5421,x5422))+E(f8(x5424,x5421,x5422),f8(x5425,x5423,x5422))+E(x5421,f3(x5422))+E(x5423,f3(x5422)) % 0.63/0.88 [766]~P39(x7664)+~P6(x7664)+E(x7661,x7662)+E(x7663,f3(x7664))+~E(f12(x7665,f10(x7663,x7661,x7664),x7664),f12(x7665,f10(x7663,x7662,x7664),x7664)) % 0.63/0.88 [857]~P39(x8575)+~P6(x8575)+E(x8571,x8572)+E(x8573,x8574)+~E(f12(f10(x8573,x8571,x8575),f10(x8574,x8572,x8575),x8575),f12(f10(x8573,x8572,x8575),f10(x8574,x8571,x8575),x8575)) % 0.63/0.88 [668]~P2(x6682)+~P3(x6682)+P9(x6681,f3(x6682),x6682)+P9(f3(x6682),x6681,x6682)+~P9(x6683,f3(x6682),x6682)+P9(x6683,f8(x6684,x6681,x6682),x6682) % 0.63/0.88 [669]~P2(x6692)+~P3(x6692)+P9(x6691,f3(x6692),x6692)+P9(f3(x6692),x6691,x6692)+~P8(x6693,f3(x6692),x6692)+P8(x6693,f8(x6694,x6691,x6692),x6692) % 0.63/0.88 [670]~P2(x6702)+~P3(x6702)+P9(x6701,f3(x6702),x6702)+P9(f3(x6702),x6701,x6702)+~P9(f3(x6702),x6704,x6702)+P9(f8(x6703,x6701,x6702),x6704,x6702) % 0.63/0.88 [671]~P2(x6712)+~P3(x6712)+P9(x6711,f3(x6712),x6712)+P9(f3(x6712),x6711,x6712)+~P8(f3(x6712),x6714,x6712)+P8(f8(x6713,x6711,x6712),x6714,x6712) % 0.63/0.88 [715]~P2(x7152)+~P3(x7152)+P9(x7151,f3(x7152),x7152)+P9(f3(x7152),x7151,x7152)+~P9(x7153,f8(x7154,x7151,x7152),x7152)+P9(x7153,f3(x7152),x7152) % 0.63/0.88 [716]~P2(x7162)+~P3(x7162)+P9(x7161,f3(x7162),x7162)+P9(f3(x7162),x7161,x7162)+~P8(x7163,f8(x7164,x7161,x7162),x7162)+P8(x7163,f3(x7162),x7162) % 0.63/0.88 [717]~P2(x7172)+~P3(x7172)+P9(x7171,f3(x7172),x7172)+P9(f3(x7172),x7171,x7172)+~P9(f8(x7174,x7171,x7172),x7173,x7172)+P9(f3(x7172),x7173,x7172) % 0.63/0.88 [718]~P2(x7182)+~P3(x7182)+P9(x7181,f3(x7182),x7182)+P9(f3(x7182),x7181,x7182)+~P8(f8(x7184,x7181,x7182),x7183,x7182)+P8(f3(x7182),x7183,x7182) % 0.63/0.88 [804]~P2(x8042)+~P3(x8042)+~P9(f10(x8043,x8041,x8042),x8044,x8042)+P9(x8041,f3(x8042),x8042)+~P9(x8043,f3(x8042),x8042)+P9(x8043,f8(x8044,x8041,x8042),x8042) % 0.63/0.88 [805]~P2(x8052)+~P3(x8052)+~P8(f10(x8053,x8051,x8052),x8054,x8052)+P9(x8051,f3(x8052),x8052)+~P8(x8053,f3(x8052),x8052)+P8(x8053,f8(x8054,x8051,x8052),x8052) % 0.63/0.88 [806]~P2(x8062)+~P3(x8062)+~P9(x8063,f10(x8064,x8061,x8062),x8062)+P9(x8061,f3(x8062),x8062)+~P9(f3(x8062),x8064,x8062)+P9(f8(x8063,x8061,x8062),x8064,x8062) % 0.63/0.88 [807]~P2(x8072)+~P3(x8072)+~P8(x8073,f10(x8074,x8071,x8072),x8072)+P9(x8071,f3(x8072),x8072)+~P8(f3(x8072),x8074,x8072)+P8(f8(x8073,x8071,x8072),x8074,x8072) % 0.63/0.88 [808]~P2(x8081)+~P3(x8081)+~P9(x8084,f8(x8083,x8082,x8081),x8081)+~P9(x8082,f3(x8081),x8081)+P9(f3(x8081),x8082,x8081)+P9(x8083,f10(x8084,x8082,x8081),x8081) % 0.63/0.88 [809]~P2(x8091)+~P3(x8091)+~P9(x8094,f10(x8093,x8092,x8091),x8091)+~P9(x8092,f3(x8091),x8091)+P9(f3(x8091),x8092,x8091)+P9(x8093,f8(x8094,x8092,x8091),x8091) % 0.63/0.88 [810]~P2(x8101)+~P3(x8101)+~P9(x8104,f10(x8103,x8102,x8101),x8101)+~P9(x8103,f3(x8101),x8101)+P9(f3(x8101),x8102,x8101)+P9(x8103,f8(x8104,x8102,x8101),x8101) % 0.63/0.88 [811]~P2(x8111)+~P3(x8111)+~P8(x8114,f8(x8113,x8112,x8111),x8111)+~P9(x8112,f3(x8111),x8111)+P9(f3(x8111),x8112,x8111)+P8(x8113,f10(x8114,x8112,x8111),x8111) % 0.63/0.88 [812]~P2(x8121)+~P3(x8121)+~P8(x8124,f10(x8123,x8122,x8121),x8121)+~P9(x8122,f3(x8121),x8121)+P9(f3(x8121),x8122,x8121)+P8(x8123,f8(x8124,x8122,x8121),x8121) % 0.63/0.88 [813]~P2(x8131)+~P3(x8131)+~P8(x8134,f10(x8133,x8132,x8131),x8131)+~P8(x8133,f3(x8131),x8131)+P9(f3(x8131),x8132,x8131)+P8(x8133,f8(x8134,x8132,x8131),x8131) % 0.63/0.88 [814]~P2(x8141)+~P3(x8141)+~P9(f8(x8144,x8142,x8141),x8143,x8141)+~P9(x8142,f3(x8141),x8141)+P9(f3(x8141),x8142,x8141)+P9(f10(x8143,x8142,x8141),x8144,x8141) % 0.63/0.88 [815]~P2(x8151)+~P3(x8151)+~P9(f10(x8154,x8152,x8151),x8153,x8151)+~P9(x8152,f3(x8151),x8151)+P9(f3(x8151),x8152,x8151)+P9(f8(x8153,x8152,x8151),x8154,x8151) % 0.63/0.88 [816]~P2(x8161)+~P3(x8161)+~P8(f8(x8164,x8162,x8161),x8163,x8161)+~P9(x8162,f3(x8161),x8161)+P9(f3(x8161),x8162,x8161)+P8(f10(x8163,x8162,x8161),x8164,x8161) % 0.63/0.88 [817]~P2(x8171)+~P3(x8171)+~P8(f10(x8174,x8172,x8171),x8173,x8171)+~P9(x8172,f3(x8171),x8171)+P9(f3(x8171),x8172,x8171)+P8(f8(x8173,x8172,x8171),x8174,x8171) % 0.63/0.88 [818]~P2(x8181)+~P3(x8181)+~P9(f10(x8184,x8182,x8181),x8183,x8181)+~P9(f3(x8181),x8184,x8181)+P9(f3(x8181),x8182,x8181)+P9(f8(x8183,x8182,x8181),x8184,x8181) % 0.63/0.88 [819]~P2(x8191)+~P3(x8191)+~P8(f10(x8194,x8192,x8191),x8193,x8191)+~P8(f3(x8191),x8194,x8191)+P9(f3(x8191),x8192,x8191)+P8(f8(x8193,x8192,x8191),x8194,x8191) % 0.63/0.88 [843]~P2(x8433)+~P3(x8433)+~P8(x8432,x8434,x8433)+~P8(x8431,f3(x8433),x8433)+~P9(f3(x8433),f10(x8432,x8434,x8433),x8433)+P8(f8(x8431,x8432,x8433),f8(x8431,x8434,x8433),x8433) % 0.63/0.88 [848]~P2(x8484)+~P3(x8484)+~P9(x8483,f3(x8484),x8484)+~P9(x8482,f10(x8481,x8483,x8484),x8484)+~P9(f10(x8481,x8483,x8484),x8482,x8484)+P9(x8481,f8(x8482,x8483,x8484),x8484) % 0.63/0.88 [849]~P2(x8494)+~P3(x8494)+~P9(x8491,f3(x8494),x8494)+~P9(x8492,f10(x8491,x8493,x8494),x8494)+~P9(f10(x8491,x8493,x8494),x8492,x8494)+P9(x8491,f8(x8492,x8493,x8494),x8494) % 0.63/0.88 [850]~P2(x8504)+~P3(x8504)+~P9(x8503,f3(x8504),x8504)+~P8(x8502,f10(x8501,x8503,x8504),x8504)+~P8(f10(x8501,x8503,x8504),x8502,x8504)+P8(x8501,f8(x8502,x8503,x8504),x8504) % 0.63/0.88 [851]~P2(x8514)+~P3(x8514)+~P8(x8511,f3(x8514),x8514)+~P8(x8512,f10(x8511,x8513,x8514),x8514)+~P8(f10(x8511,x8513,x8514),x8512,x8514)+P8(x8511,f8(x8512,x8513,x8514),x8514) % 0.63/0.88 [852]~P2(x8523)+~P3(x8523)+~P9(x8522,f3(x8523),x8523)+~P9(x8521,f10(x8524,x8522,x8523),x8523)+~P9(f10(x8524,x8522,x8523),x8521,x8523)+P9(f8(x8521,x8522,x8523),x8524,x8523) % 0.63/0.88 [853]~P2(x8533)+~P3(x8533)+~P9(x8532,f3(x8533),x8533)+~P8(x8531,f10(x8534,x8532,x8533),x8533)+~P8(f10(x8534,x8532,x8533),x8531,x8533)+P8(f8(x8531,x8532,x8533),x8534,x8533) % 0.63/0.88 [854]~P2(x8543)+~P3(x8543)+~P9(f3(x8543),x8544,x8543)+~P9(x8541,f10(x8544,x8542,x8543),x8543)+~P9(f10(x8544,x8542,x8543),x8541,x8543)+P9(f8(x8541,x8542,x8543),x8544,x8543) % 0.63/0.88 [855]~P2(x8553)+~P3(x8553)+~P8(f3(x8553),x8554,x8553)+~P8(x8551,f10(x8554,x8552,x8553),x8553)+~P8(f10(x8554,x8552,x8553),x8551,x8553)+P8(f8(x8551,x8552,x8553),x8554,x8553) % 0.63/0.88 [824]~P1(x8243)+~P9(x8242,x8245,x8243)+~P9(x8241,x8244,x8243)+~P9(f3(x8243),x8244,x8243)+~P8(f3(x8243),x8242,x8243)+P9(f10(x8241,x8242,x8243),f10(x8244,x8245,x8243),x8243) % 0.63/0.88 [825]~P1(x8253)+~P9(x8252,x8255,x8253)+~P9(x8251,x8254,x8253)+~P8(f3(x8253),x8252,x8253)+~P8(f3(x8253),x8251,x8253)+P9(f10(x8251,x8252,x8253),f10(x8254,x8255,x8253),x8253) % 0.63/0.88 [826]~P1(x8263)+~P9(x8262,x8265,x8263)+~P8(x8261,x8264,x8263)+~P9(f3(x8263),x8261,x8263)+~P8(f3(x8263),x8262,x8263)+P9(f10(x8261,x8262,x8263),f10(x8264,x8265,x8263),x8263) % 0.63/0.88 [827]~P1(x8273)+~P9(x8271,x8274,x8273)+~P8(x8272,x8275,x8273)+~P9(f3(x8273),x8272,x8273)+~P8(f3(x8273),x8271,x8273)+P9(f10(x8271,x8272,x8273),f10(x8274,x8275,x8273),x8273) % 0.63/0.88 [828]~P2(x8283)+~P9(x8285,x8282,x8283)+~P8(x8281,x8284,x8283)+~P9(f3(x8283),x8285,x8283)+~P9(f3(x8283),x8281,x8283)+P9(f8(x8281,x8282,x8283),f8(x8284,x8285,x8283),x8283) % 0.63/0.88 [829]~P2(x8293)+~P9(x8291,x8294,x8293)+~P8(x8295,x8292,x8293)+~P9(f3(x8293),x8295,x8293)+~P8(f3(x8293),x8291,x8293)+P9(f8(x8291,x8292,x8293),f8(x8294,x8295,x8293),x8293) % 0.63/0.88 [830]~P55(x8303)+~P8(x8302,x8305,x8303)+~P8(x8301,x8304,x8303)+~P8(f3(x8303),x8304,x8303)+~P8(f3(x8303),x8302,x8303)+P8(f10(x8301,x8302,x8303),f10(x8304,x8305,x8303),x8303) % 0.63/0.88 [831]~P55(x8313)+~P8(x8312,x8315,x8313)+~P8(x8311,x8314,x8313)+~P8(f3(x8313),x8312,x8313)+~P8(f3(x8313),x8311,x8313)+P8(f10(x8311,x8312,x8313),f10(x8314,x8315,x8313),x8313) % 0.63/0.88 [832]~P2(x8323)+~P8(x8325,x8322,x8323)+~P8(x8321,x8324,x8323)+~P9(f3(x8323),x8325,x8323)+~P8(f3(x8323),x8321,x8323)+P8(f8(x8321,x8322,x8323),f8(x8324,x8325,x8323),x8323) % 0.63/0.88 %EqnAxiom % 0.63/0.88 [1]E(x11,x11) % 0.63/0.88 [2]E(x22,x21)+~E(x21,x22) % 0.63/0.88 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.63/0.88 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 0.63/0.88 [5]~E(x51,x52)+E(f4(x51,x53),f4(x52,x53)) % 0.63/0.88 [6]~E(x61,x62)+E(f4(x63,x61),f4(x63,x62)) % 0.63/0.88 [7]~E(x71,x72)+E(f9(x71),f9(x72)) % 0.63/0.88 [8]~E(x81,x82)+E(f5(x81,x83),f5(x82,x83)) % 0.63/0.88 [9]~E(x91,x92)+E(f5(x93,x91),f5(x93,x92)) % 0.63/0.88 [10]~E(x101,x102)+E(f15(x101,x103),f15(x102,x103)) % 0.63/0.88 [11]~E(x111,x112)+E(f15(x113,x111),f15(x113,x112)) % 0.63/0.88 [12]~E(x121,x122)+E(f12(x121,x123,x124),f12(x122,x123,x124)) % 0.63/0.88 [13]~E(x131,x132)+E(f12(x133,x131,x134),f12(x133,x132,x134)) % 0.63/0.88 [14]~E(x141,x142)+E(f12(x143,x144,x141),f12(x143,x144,x142)) % 0.63/0.88 [15]~E(x151,x152)+E(f13(x151,x153,x154),f13(x152,x153,x154)) % 0.63/0.88 [16]~E(x161,x162)+E(f13(x163,x161,x164),f13(x163,x162,x164)) % 0.63/0.88 [17]~E(x171,x172)+E(f13(x173,x174,x171),f13(x173,x174,x172)) % 0.63/0.88 [18]~E(x181,x182)+E(f10(x181,x183,x184),f10(x182,x183,x184)) % 0.63/0.88 [19]~E(x191,x192)+E(f10(x193,x191,x194),f10(x193,x192,x194)) % 0.63/0.88 [20]~E(x201,x202)+E(f10(x203,x204,x201),f10(x203,x204,x202)) % 0.63/0.88 [21]~E(x211,x212)+E(f7(x211,x213,x214),f7(x212,x213,x214)) % 0.63/0.88 [22]~E(x221,x222)+E(f7(x223,x221,x224),f7(x223,x222,x224)) % 0.63/0.88 [23]~E(x231,x232)+E(f7(x233,x234,x231),f7(x233,x234,x232)) % 0.63/0.88 [24]~E(x241,x242)+E(f6(x241,x243,x244),f6(x242,x243,x244)) % 0.63/0.88 [25]~E(x251,x252)+E(f6(x253,x251,x254),f6(x253,x252,x254)) % 0.63/0.88 [26]~E(x261,x262)+E(f6(x263,x264,x261),f6(x263,x264,x262)) % 0.63/0.88 [27]~E(x271,x272)+E(f8(x271,x273,x274),f8(x272,x273,x274)) % 0.63/0.88 [28]~E(x281,x282)+E(f8(x283,x281,x284),f8(x283,x282,x284)) % 0.63/0.88 [29]~E(x291,x292)+E(f8(x293,x294,x291),f8(x293,x294,x292)) % 0.63/0.88 [30]~E(x301,x302)+E(f11(x301,x303),f11(x302,x303)) % 0.63/0.88 [31]~E(x311,x312)+E(f11(x313,x311),f11(x313,x312)) % 0.63/0.88 [32]~E(x321,x322)+E(f19(x321),f19(x322)) % 0.63/0.88 [33]~E(x331,x332)+E(f16(x331,x333,x334),f16(x332,x333,x334)) % 0.63/0.88 [34]~E(x341,x342)+E(f16(x343,x341,x344),f16(x343,x342,x344)) % 0.63/0.88 [35]~E(x351,x352)+E(f16(x353,x354,x351),f16(x353,x354,x352)) % 0.63/0.88 [36]~E(x361,x362)+E(f14(x361,x363),f14(x362,x363)) % 0.63/0.88 [37]~E(x371,x372)+E(f14(x373,x371),f14(x373,x372)) % 0.63/0.88 [38]~E(x381,x382)+E(f17(x381,x383),f17(x382,x383)) % 0.63/0.88 [39]~E(x391,x392)+E(f17(x393,x391),f17(x393,x392)) % 0.63/0.88 [40]~E(x401,x402)+E(f24(x401),f24(x402)) % 0.63/0.88 [41]~P1(x411)+P1(x412)+~E(x411,x412) % 0.63/0.88 [42]P9(x422,x423,x424)+~E(x421,x422)+~P9(x421,x423,x424) % 0.63/0.88 [43]P9(x433,x432,x434)+~E(x431,x432)+~P9(x433,x431,x434) % 0.63/0.88 [44]P9(x443,x444,x442)+~E(x441,x442)+~P9(x443,x444,x441) % 0.63/0.88 [45]~P2(x451)+P2(x452)+~E(x451,x452) % 0.63/0.88 [46]~P3(x461)+P3(x462)+~E(x461,x462) % 0.63/0.88 [47]P8(x472,x473,x474)+~E(x471,x472)+~P8(x471,x473,x474) % 0.63/0.88 [48]P8(x483,x482,x484)+~E(x481,x482)+~P8(x483,x481,x484) % 0.63/0.88 [49]P8(x493,x494,x492)+~E(x491,x492)+~P8(x493,x494,x491) % 0.63/0.88 [50]~P4(x501)+P4(x502)+~E(x501,x502) % 0.63/0.88 [51]~P40(x511)+P40(x512)+~E(x511,x512) % 0.63/0.88 [52]~P5(x521)+P5(x522)+~E(x521,x522) % 0.63/0.88 [53]~P20(x531)+P20(x532)+~E(x531,x532) % 0.63/0.88 [54]~P48(x541)+P48(x542)+~E(x541,x542) % 0.63/0.88 [55]~P25(x551)+P25(x552)+~E(x551,x552) % 0.63/0.88 [56]P10(x562,x563,x564)+~E(x561,x562)+~P10(x561,x563,x564) % 0.63/0.88 [57]P10(x573,x572,x574)+~E(x571,x572)+~P10(x573,x571,x574) % 0.63/0.88 [58]P10(x583,x584,x582)+~E(x581,x582)+~P10(x583,x584,x581) % 0.63/0.88 [59]~P31(x591)+P31(x592)+~E(x591,x592) % 0.63/0.88 [60]~P39(x601)+P39(x602)+~E(x601,x602) % 0.63/0.88 [61]~P49(x611)+P49(x612)+~E(x611,x612) % 0.63/0.88 [62]~P6(x621)+P6(x622)+~E(x621,x622) % 0.63/0.88 [63]~P51(x631)+P51(x632)+~E(x631,x632) % 0.63/0.88 [64]~P19(x641)+P19(x642)+~E(x641,x642) % 0.63/0.88 [65]~P28(x651)+P28(x652)+~E(x651,x652) % 0.63/0.88 [66]~P32(x661)+P32(x662)+~E(x661,x662) % 0.63/0.88 [67]~P26(x671)+P26(x672)+~E(x671,x672) % 0.63/0.88 [68]~P17(x681)+P17(x682)+~E(x681,x682) % 0.63/0.88 [69]~P16(x691)+P16(x692)+~E(x691,x692) % 0.63/0.88 [70]~P27(x701)+P27(x702)+~E(x701,x702) % 0.63/0.88 [71]~P30(x711)+P30(x712)+~E(x711,x712) % 0.63/0.88 [72]~P23(x721)+P23(x722)+~E(x721,x722) % 0.63/0.88 [73]~P35(x731)+P35(x732)+~E(x731,x732) % 0.63/0.88 [74]~P33(x741)+P33(x742)+~E(x741,x742) % 0.63/0.88 [75]~P7(x751)+P7(x752)+~E(x751,x752) % 0.63/0.88 [76]~P43(x761)+P43(x762)+~E(x761,x762) % 0.63/0.88 [77]~P34(x771)+P34(x772)+~E(x771,x772) % 0.63/0.88 [78]~P56(x781)+P56(x782)+~E(x781,x782) % 0.63/0.88 [79]~P52(x791)+P52(x792)+~E(x791,x792) % 0.63/0.88 [80]~P18(x801)+P18(x802)+~E(x801,x802) % 0.63/0.88 [81]~P53(x811)+P53(x812)+~E(x811,x812) % 0.63/0.88 [82]~P55(x821)+P55(x822)+~E(x821,x822) % 0.63/0.88 [83]~P44(x831)+P44(x832)+~E(x831,x832) % 0.63/0.88 [84]P11(x842,x843,x844,x845,x846)+~E(x841,x842)+~P11(x841,x843,x844,x845,x846) % 0.63/0.88 [85]P11(x853,x852,x854,x855,x856)+~E(x851,x852)+~P11(x853,x851,x854,x855,x856) % 0.63/0.88 [86]P11(x863,x864,x862,x865,x866)+~E(x861,x862)+~P11(x863,x864,x861,x865,x866) % 0.63/0.88 [87]P11(x873,x874,x875,x872,x876)+~E(x871,x872)+~P11(x873,x874,x875,x871,x876) % 0.63/0.88 [88]P11(x883,x884,x885,x886,x882)+~E(x881,x882)+~P11(x883,x884,x885,x886,x881) % 0.63/0.88 [89]~P54(x891)+P54(x892)+~E(x891,x892) % 0.63/0.88 [90]~P37(x901)+P37(x902)+~E(x901,x902) % 0.63/0.88 [91]~P29(x911)+P29(x912)+~E(x911,x912) % 0.63/0.88 [92]~P42(x921)+P42(x922)+~E(x921,x922) % 0.63/0.88 [93]~P13(x931)+P13(x932)+~E(x931,x932) % 0.63/0.88 [94]~P57(x941)+P57(x942)+~E(x941,x942) % 0.63/0.88 [95]~P14(x951)+P14(x952)+~E(x951,x952) % 0.63/0.88 [96]~P15(x961)+P15(x962)+~E(x961,x962) % 0.63/0.88 [97]~P12(x971)+P12(x972)+~E(x971,x972) % 0.63/0.88 [98]~P50(x981)+P50(x982)+~E(x981,x982) % 0.63/0.88 [99]~P38(x991)+P38(x992)+~E(x991,x992) % 0.63/0.88 [100]~P45(x1001)+P45(x1002)+~E(x1001,x1002) % 0.63/0.88 [101]~P22(x1011)+P22(x1012)+~E(x1011,x1012) % 0.63/0.88 [102]~P47(x1021)+P47(x1022)+~E(x1021,x1022) % 0.63/0.88 [103]~P58(x1031)+P58(x1032)+~E(x1031,x1032) % 0.63/0.88 [104]~P41(x1041)+P41(x1042)+~E(x1041,x1042) % 0.63/0.88 [105]~P24(x1051)+P24(x1052)+~E(x1051,x1052) % 0.63/0.88 [106]~P36(x1061)+P36(x1062)+~E(x1061,x1062) % 0.63/0.88 [107]~P21(x1071)+P21(x1072)+~E(x1071,x1072) % 0.63/0.88 [108]~P46(x1081)+P46(x1082)+~E(x1081,x1082) % 0.63/0.88 % 0.63/0.88 %------------------------------------------- % 0.63/0.88 cnf(893,plain, % 0.63/0.88 ($false), % 0.63/0.88 inference(scs_inference,[],[235,231]), % 0.63/0.88 ['proof']). % 0.63/0.88 % SZS output end Proof % 0.63/0.88 % Total time :0.030000s %------------------------------------------------------------------------------