TSTP Solution File: ALG399-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ALG399-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n007.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 : Wed Aug 30 15:59:51 EDT 2023
% Result : Unsatisfiable 0.83s 1.00s
% Output : CNFRefutation 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG399-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 04:16:43 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.83/0.95 %-------------------------------------------
% 0.83/0.95 % File :CSE---1.6
% 0.83/0.95 % Problem :theBenchmark
% 0.83/0.95 % Transform :cnf
% 0.83/0.95 % Format :tptp:raw
% 0.83/0.95 % Command :java -jar mcs_scs.jar %d %s
% 0.83/0.95
% 0.83/0.95 % Result :Theorem 0.050000s
% 0.83/0.96 % Output :CNFRefutation 0.050000s
% 0.83/0.96 %-------------------------------------------
% 0.83/0.96 %------------------------------------------------------------------------------
% 0.83/0.96 % File : ALG399-1 : TPTP v8.1.2. Released v4.1.0.
% 0.83/0.96 % Domain : General Algebra
% 0.83/0.96 % Problem : Fundamental theorem of algebra 0670_62
% 0.83/0.96 % Version : Especial.
% 0.83/0.96 % English :
% 0.83/0.96
% 0.83/0.96 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.83/0.96 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.83/0.96 % Source : [Nip10]
% 0.83/0.96 % Names : Fundamental_Theorem_Algebra-0670_62 [Nip10]
% 0.83/0.96
% 0.83/0.96 % Status : Unsatisfiable
% 0.83/0.96 % Rating : 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.15 v5.4.0, 0.10 v5.3.0, 0.11 v5.2.0, 0.12 v5.1.0, 0.18 v5.0.0, 0.07 v4.1.0
% 0.83/0.96 % Syntax : Number of clauses : 961 ( 78 unt; 154 nHn; 608 RR)
% 0.83/0.96 % Number of literals : 2897 ( 567 equ;1780 neg)
% 0.83/0.96 % Maximal clause size : 6 ( 3 avg)
% 0.83/0.96 % Maximal term depth : 7 ( 1 avg)
% 0.83/0.96 % Number of predicates : 71 ( 70 usr; 0 prp; 1-5 aty)
% 0.83/0.96 % Number of functors : 27 ( 27 usr; 6 con; 0-3 aty)
% 0.83/0.96 % Number of variables : 2698 ( 125 sgn)
% 0.83/0.96 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.83/0.96
% 0.83/0.96 % Comments :
% 0.83/0.96 %------------------------------------------------------------------------------
% 0.83/0.96 cnf(cls_zero__le__divide__iff_2,axiom,
% 0.83/0.96 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.96 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.96 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.96 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/0.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.83/0.96
% 0.83/0.96 cnf(cls_zero__le__divide__iff_1,axiom,
% 0.83/0.96 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.96 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.96 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.96 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.83/0.96
% 0.83/0.96 cnf(cls_zero__le__divide__iff_0,axiom,
% 0.83/0.96 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.96 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.96 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.96 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.83/0.96
% 0.83/0.96 cnf(cls_add__strict__increasing2_0,axiom,
% 0.83/0.96 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.83/0.96 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.83/0.96 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.83/0.96 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.83/0.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.96
% 0.83/0.96 cnf(cls_power__mono_0,axiom,
% 0.83/0.96 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.83/0.96 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 0.83/0.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.96 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/0.96
% 0.83/0.96 cnf(cls_eq__eqI_0,axiom,
% 0.83/0.96 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.83/0.96 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.83/0.96 | V_x_H = V_y_H ) ).
% 0.83/0.96
% 0.83/0.96 cnf(cls_eq__eqI_1,axiom,
% 0.83/0.96 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.83/0.96 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.83/0.96 | V_xa = V_y ) ).
% 0.83/0.96
% 0.83/0.96 cnf(cls_mod__poly__eq_0,axiom,
% 0.83/0.96 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.96 | c_Divides_Odiv__class_Omod(V_x,V_y,tc_Polynomial_Opoly(T_a)) = V_r
% 0.83/0.96 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q,V_r,T_a) ) ).
% 0.83/0.96
% 0.83/0.96 cnf(cls_power__less__zero__eq_1,axiom,
% 0.83/0.96 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/0.96 | c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.96 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.96
% 0.83/0.96 cnf(cls_power__le__zero__eq_3,axiom,
% 0.83/0.96 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/0.96 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.96 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.96 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.96
% 0.83/0.96 cnf(cls_minus__divide__divide_0,axiom,
% 0.83/0.96 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.96 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.96 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) ) ).
% 0.83/0.96
% 0.83/0.96 cnf(cls_divide_Ominus_0,axiom,
% 0.83/0.96 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.83/0.96 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) ) ).
% 0.83/0.96
% 0.83/0.96 cnf(cls_mult_Oprod__diff__prod_0,axiom,
% 0.83/0.96 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.83/0.96 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),T_a) ) ).
% 0.83/0.96
% 0.83/0.97 cnf(cls_one__le__inverse__iff_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.97 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.83/0.97 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_eq__neg__iff__add__eq__0_0,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.97 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_ab__left__minus_0,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.83/0.97 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_right__minus_0,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.97 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_left__minus_0,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.97 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_add__neg__neg_0,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.83/0.97 | 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)
% 0.83/0.97 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.97 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_coeff__0_0,axiom,
% 0.83/0.97 ( ~ class_HOL_Ozero(T_a)
% 0.83/0.97 | c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_Deriv_Oadd__diff__add_0,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.83/0.97 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ominus__class_Ominus(V_c,V_d,T_a),T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_dvd__div__mult_0,axiom,
% 0.83/0.97 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.97 | 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)
% 0.83/0.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_inverse__less__1__iff_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.97 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.97 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a)
% 0.83/0.97 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_dvd__iff__poly__eq__0_1,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/0.97 | c_Polynomial_Opoly(V_p,c_HOL_Ouminus__class_Ouminus(V_c,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.97 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(V_c,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_dvd__iff__poly__eq__0_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/0.97 | c_Polynomial_Opoly(V_p,c_HOL_Ouminus__class_Ouminus(V_c,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(V_c,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_power__abs_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/0.97 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_a,T_a),V_n,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_dvd__power__same_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.97 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_n,T_a),T_a)
% 0.83/0.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_abs__diff__less__iff_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/0.97 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a)
% 0.83/0.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_abs__divide_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.97 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.97 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_abs__of__pos_0,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/0.97 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.83/0.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_divide__less__0__iff_3,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.97 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/0.97 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.97 | ~ 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) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_divide__less__0__iff_2,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.97 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.97 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.97 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.97 | ~ 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) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_divide__less__0__iff_1,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.97 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/0.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.97 | ~ 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) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_divide__less__0__iff_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.97 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.97 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.97 | ~ 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) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_add__cancel__end_0,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.83/0.97 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y
% 0.83/0.97 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_zero__le__divide__iff_3,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.97 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.97 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.97 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/0.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_mod__add__left__eq_0,axiom,
% 0.83/0.97 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.97 | 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) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_mod__add__right__eq_0,axiom,
% 0.83/0.97 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.97 | 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) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_divide__self__if_1,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.97 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.97 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.83/0.97 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_divide__self_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.97 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.83/0.97 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_right__inverse__eq_1,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.97 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.97 | c_HOL_Oinverse__class_Odivide(V_x,V_x,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_linorder__not__le_1,axiom,
% 0.83/0.97 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/0.97 | ~ c_lessequals(V_x,V_y,T_a)
% 0.83/0.97 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_linorder__not__le_0,axiom,
% 0.83/0.97 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/0.97 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.83/0.97 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_linorder__not__less_0,axiom,
% 0.83/0.97 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/0.97 | c_lessequals(V_y,V_x,T_a)
% 0.83/0.97 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_linorder__not__less_1,axiom,
% 0.83/0.97 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/0.97 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.83/0.97 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.83/0.97 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/0.97 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.83/0.97 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.83/0.97 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/0.97 | ~ c_lessequals(V_x,V_x,T_a)
% 0.83/0.97 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_not__leE_0,axiom,
% 0.83/0.97 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/0.97 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.83/0.97 | c_lessequals(V_y,V_x,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_less__le__not__le_1,axiom,
% 0.83/0.97 ( ~ class_Orderings_Opreorder(T_a)
% 0.83/0.97 | ~ c_lessequals(V_y,V_x,T_a)
% 0.83/0.97 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_abs__triangle__ineq_0,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/0.97 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.97 | 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) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.97 | 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) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.97 | 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) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.97 | 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) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.83/0.97 | 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) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_add__cancel__21_1,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.83/0.97 | 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) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.97 | 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) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.83/0.97 | 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) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.83/0.97 | 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) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_coeff__monom_1,axiom,
% 0.83/0.97 ( ~ class_HOL_Ozero(T_a)
% 0.83/0.97 | c_Polynomial_Ocoeff(c_Polynomial_Omonom(V_a,V_m,T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.97 | V_m = V_n ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_order__less__trans_0,axiom,
% 0.83/0.97 ( ~ class_Orderings_Opreorder(T_a)
% 0.83/0.97 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.83/0.97 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.83/0.97 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_xt1_I10_J_0,axiom,
% 0.83/0.97 ( ~ class_Orderings_Oorder(T_a)
% 0.83/0.97 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.83/0.97 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.83/0.97 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_mod__add__eq_0,axiom,
% 0.83/0.97 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.97 | 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) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.83/0.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.97 | 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) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_diff__add__cancel_0,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.97 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_abs__mult__less_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/0.97 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a)
% 0.83/0.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a)
% 0.83/0.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_abs__triangle__ineq3_0,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/0.97 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_neg__less__0__iff__less_0,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_neg__less__0__iff__less_1,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.97 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_nonzero__minus__divide__right_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.97 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.83/0.97 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_power__one__over_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.97 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.97 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a),V_n,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_frac__less2_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.97 | 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)
% 0.83/0.97 | ~ c_HOL_Oord__class_Oless(V_w,V_z,T_a)
% 0.83/0.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 0.83/0.97 | ~ c_lessequals(V_x,V_y,T_a)
% 0.83/0.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_pdivmod__rel_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.97 | 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) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_poly__replicate__append_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.83/0.97 | c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(c_Polynomial_Omonom(c_HOL_Oone__class_Oone(T_a),V_n,T_a),V_p,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Polynomial_Opoly(V_p,V_x,T_a),T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_divide__left__mono_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.97 | 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)
% 0.83/0.97 | ~ 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)
% 0.83/0.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.97 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_divide__left__mono__neg_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.97 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.97 | 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)
% 0.83/0.97 | ~ 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)
% 0.83/0.97 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.97 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_class__fieldgb_Oinverse__divide_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.97 | ~ class_Int_Onumber__ring(T_a)
% 0.83/0.97 | 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) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_inverse__eq__divide_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.97 | 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) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_abs__le__D1_0,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/0.97 | c_lessequals(V_a,V_b,T_a)
% 0.83/0.97 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_monom__eq__0_0,axiom,
% 0.83/0.97 ( ~ class_HOL_Ozero(T_a)
% 0.83/0.97 | c_Polynomial_Omonom(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_abs__le__mult_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Olordered__ring(T_a)
% 0.83/0.97 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_le__imp__neg__le_0,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.97 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.83/0.97 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_neg__le__iff__le_0,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.97 | c_lessequals(V_a,V_b,T_a)
% 0.83/0.97 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_div__add_0,axiom,
% 0.83/0.97 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.97 | 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)
% 0.83/0.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,T_a)
% 0.83/0.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_eq__add__iff2_1,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.83/0.97 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_abs__minus__le__zero_0,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/0.97 | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_add__increasing_0,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.83/0.97 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.83/0.97 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.83/0.97 | ~ c_lessequals(V_b,V_c,T_a)
% 0.83/0.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_add__increasing2_0,axiom,
% 0.83/0.97 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.83/0.97 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.83/0.97 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.83/0.97 | ~ c_lessequals(V_b,V_a,T_a)
% 0.83/0.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_divide__le__0__iff_4,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.97 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.97 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.97 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_divide__le__0__iff_5,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.97 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.97 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/0.97 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_le__add__iff1_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.83/0.97 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a)
% 0.83/0.97 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_le__add__iff1_1,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.83/0.97 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 0.83/0.97 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_le__add__iff2_0,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.83/0.97 | c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)
% 0.83/0.97 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_le__add__iff2_1,axiom,
% 0.83/0.97 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.83/0.97 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 0.83/0.97 | ~ c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_dvd__mod_0,axiom,
% 0.83/0.97 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.97 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 0.83/0.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 0.83/0.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_dvd__mod__iff_0,axiom,
% 0.83/0.97 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.97 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 0.83/0.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 0.83/0.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_dvd__mod__iff_1,axiom,
% 0.83/0.97 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.97 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 0.83/0.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 0.83/0.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 0.83/0.97
% 0.83/0.97 cnf(cls_dvd__mod__imp__dvd_0,axiom,
% 0.83/0.97 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.97 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 0.83/0.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 0.83/0.97 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) ) ).
% 0.83/0.97
% 0.83/0.98 cnf(cls_zero__le__divide__1__iff_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/0.98 | ~ 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) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_zero__le__divide__1__iff_1,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | 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)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_dvd__power_1,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.98 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_divide__le__eq_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_divide__le__eq_6,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.98 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_le__divide__eq_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.98 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_le__divide__eq_6,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_mult__imp__div__pos__le_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)
% 0.83/0.98 | ~ c_lessequals(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_mult__imp__le__div__pos_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | c_lessequals(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_abs__if__lattice_0,axiom,
% 0.83/0.98 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/0.98 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 0.83/0.98 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_abs__if_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 0.83/0.98 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_abs__of__neg_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/0.98 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_dvd__diff_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.83/0.98 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a)
% 0.83/0.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,T_a)
% 0.83/0.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.83/0.98 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.83/0.98 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.83/0.98 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.83/0.98 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_divide_Odiff_0,axiom,
% 0.83/0.98 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.83/0.98 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_diff__divide__distrib_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.98 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_even__less__0__iff_1,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/0.98 | 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)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_even__less__0__iff_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | ~ 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) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | ~ 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) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.83/0.98 | 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)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_power__less__imp__less__base_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_abs__less__iff_1,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_divide__le__eq_8,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.83/0.98 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_le__divide__eq_8,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_abs__div__pos_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_x,T_a),V_y,T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_neg__less__iff__less_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_neg__less__iff__less_1,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_add__neg__nonpos_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.83/0.98 | 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)
% 0.83/0.98 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_add__nonpos__neg_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.83/0.98 | 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)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_inverse__less__1__iff_1,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.83/0.98 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_abs__le__zero__iff_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/0.98 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_divide__le__0__1__iff_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | ~ 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) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_divide__le__0__1__iff_1,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | 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)
% 0.83/0.98 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_estimate__by__abs_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 0.83/0.98 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_neg__equal__iff__equal_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.98 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 0.83/0.98 | V_a = V_b ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_compl__eq__compl__iff_0,axiom,
% 0.83/0.98 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.83/0.98 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 0.83/0.98 | V_x = V_y ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_dvd__mult__div__cancel_0,axiom,
% 0.83/0.98 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.98 | c_HOL_Otimes__class_Otimes(V_a,c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),T_a) = V_b
% 0.83/0.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_dvd__div__mult__self_0,axiom,
% 0.83/0.98 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.98 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),V_a,T_a) = V_b
% 0.83/0.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_abs__of__nonpos_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/0.98 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.83/0.98 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_diff__minus__eq__add_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.98 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_mod__mult__self2_0,axiom,
% 0.83/0.98 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.98 | 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) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_mod__mult__self1_0,axiom,
% 0.83/0.98 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.98 | 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) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_le__divide__eq_3,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.83/0.98 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_le__divide__eq_2,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.98 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_divide__le__eq_3,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_divide__le__eq_2,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_add__diff__cancel_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.98 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_add__divide__distrib_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.98 | 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) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_divide_Oadd_0,axiom,
% 0.83/0.98 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.83/0.98 | 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) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_abs__diff__less__iff_2,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_less__1__mult_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.83/0.98 | 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)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_minus__equation__iff_1,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.98 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_equation__minus__iff_1,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.98 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_equation__minus__iff_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.98 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_double__compl_0,axiom,
% 0.83/0.98 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.83/0.98 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_minus__minus_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.98 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_div__by__1_0,axiom,
% 0.83/0.98 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.98 | c_Divides_Odiv__class_Odiv(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_minus__diff__eq_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.83/0.98 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Ominus__class_Ominus(V_b,V_a,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_add__less__le__mono_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.83/0.98 | 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)
% 0.83/0.98 | ~ c_lessequals(V_c,V_d,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_add__le__less__mono_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.83/0.98 | 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)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.83/0.98 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_minus__less__iff_1,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_minus__less__iff_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_less__minus__iff_1,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_less__minus__iff_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_minus__le__iff_1,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.98 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_minus__le__iff_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.98 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_le__minus__iff_1,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.98 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.83/0.98 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_le__minus__iff_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.98 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.83/0.98 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_eq__divide__eq_2,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_abs__eq__0_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/0.98 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.98 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_neg__equal__zero_1,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.83/0.98 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_minus__zero_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.98 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_neg__0__equal__iff__equal_1,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.98 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_dvd__0__right_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.98 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_mod__self_0,axiom,
% 0.83/0.98 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.98 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_mod__by__0_0,axiom,
% 0.83/0.98 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.98 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_zero__neq__one_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.83/0.98 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_dvd__0__left_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.98 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.98 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_divide__self__if_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | 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) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_neg__equal__zero_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.83/0.98 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a
% 0.83/0.98 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_field__power__not__zero_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 0.83/0.98 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.98 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_power__eq__0__iff_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.83/0.98 | ~ class_Power_Opower(T_a)
% 0.83/0.98 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.98 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_neg__equal__0__iff__equal_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.98 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.98 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_one__neq__zero_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.83/0.98 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_div__by__0_0,axiom,
% 0.83/0.98 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.98 | c_Divides_Odiv__class_Odiv(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_div__0_0,axiom,
% 0.83/0.98 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.98 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_double__eq__0__iff_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.83/0.98 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.98 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.83/0.98 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_right__minus__eq_1,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.98 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_diff__0__right_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.98 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_diff__self_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.98 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/0.98 | ~ class_Int_Onumber__ring(T_a)
% 0.83/0.98 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/0.98 | ~ class_Int_Onumber__ring(T_a)
% 0.83/0.98 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 0.83/0.98 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_mod__0_0,axiom,
% 0.83/0.98 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.98 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_double__eq__0__iff_1,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.83/0.98 | 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) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_abs__eq__0_1,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/0.98 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_neg__0__equal__iff__equal_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.98 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.83/0.98 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.83/0.98 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.98 | V_a = V_b ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_right__minus__eq_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.98 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.98 | V_a = V_b ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/0.98 | ~ class_Int_Onumber__ring(T_a)
% 0.83/0.98 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.98 | V_x = V_y ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_divide__zero__left_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.98 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_divide__eq__eq_1,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_divide__zero_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_divide_Ozero_0,axiom,
% 0.83/0.98 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.83/0.98 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.83/0.98 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_add__0__left_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.83/0.98 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.83/0.98 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/0.98 | ~ class_Int_Onumber__ring(T_a)
% 0.83/0.98 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.98 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.83/0.98 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.83/0.98 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.98 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.98 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_mult__less__le__imp__less_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.83/0.98 | 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)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.98 | ~ c_lessequals(V_c,V_d,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_mult__le__less__imp__less_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.83/0.98 | 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)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.83/0.98 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_divide__strict__left__mono__neg_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | 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)
% 0.83/0.98 | ~ 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)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_divide__strict__left__mono_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | 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)
% 0.83/0.98 | ~ 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)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_abs__mult__pos_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/0.98 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_y,T_a),V_x,T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_add__frac__eq_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.98 | 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)
% 0.83/0.98 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.98 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_less__divide__eq_7,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_less__divide__eq_5,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_less__divide__eq_4,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_less__divide__eq_1,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_divide__less__eq_7,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_divide__less__eq_5,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_divide__less__eq_4,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_divide__less__eq_1,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_div__mult__self2_0,axiom,
% 0.83/0.98 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.98 | 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)
% 0.83/0.98 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_div__mult__self1_0,axiom,
% 0.83/0.98 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.98 | 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)
% 0.83/0.98 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_mult__right__le__one__le_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/0.98 | c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a)
% 0.83/0.98 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_mult__left__le__one__le_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/0.98 | c_lessequals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a)
% 0.83/0.98 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.83/0.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_add__num__frac_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | 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)
% 0.83/0.98 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_add__frac__num_0,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | 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)
% 0.83/0.98 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.98
% 0.83/0.98 cnf(cls_less__divide__eq_9,axiom,
% 0.83/0.98 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.98 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.98 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_less__divide__eq_8,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__less__eq_9,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__less__eq_8,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_power__divide_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_power__gt1__lemma_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_order__antisym_0,axiom,
% 0.83/0.99 ( ~ class_Orderings_Oorder(T_a)
% 0.83/0.99 | V_x = V_y
% 0.83/0.99 | ~ c_lessequals(V_y,V_x,T_a)
% 0.83/0.99 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_linorder__neqE_0,axiom,
% 0.83/0.99 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.83/0.99 | V_x = V_y ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_order__eq__iff_2,axiom,
% 0.83/0.99 ( ~ class_Orderings_Oorder(T_a)
% 0.83/0.99 | V_x = V_y
% 0.83/0.99 | ~ c_lessequals(V_y,V_x,T_a)
% 0.83/0.99 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_order__antisym__conv_0,axiom,
% 0.83/0.99 ( ~ class_Orderings_Oorder(T_a)
% 0.83/0.99 | V_x = V_y
% 0.83/0.99 | ~ c_lessequals(V_x,V_y,T_a)
% 0.83/0.99 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_pdivmod__rel__unique_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.99 | V_q1 = V_q2
% 0.83/0.99 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q2,V_r2,T_a)
% 0.83/0.99 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q1,V_r1,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_pdivmod__rel__unique_1,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.99 | V_r1 = V_r2
% 0.83/0.99 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q2,V_r2,T_a)
% 0.83/0.99 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q1,V_r1,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_linorder__less__linear_0,axiom,
% 0.83/0.99 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.83/0.99 | V_x = V_y
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.83/0.99 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/0.99 | V_x = V_y
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.83/0.99 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/0.99 | V_x = V_y
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.83/0.99 | V_x = V_y ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_abs__of__nonneg_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/0.99 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_dvd__refl_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.99 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_dvd__trans_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.99 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_leading__coeff__0__iff_0,axiom,
% 0.83/0.99 ( ~ class_HOL_Ozero(T_a)
% 0.83/0.99 | c_Polynomial_Ocoeff(V_p,c_Polynomial_Odegree(V_p,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.99 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_add__left__mono_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_add__right__mono_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_add__le__cancel__left_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.83/0.99 | c_lessequals(V_a,V_b,T_a)
% 0.83/0.99 | ~ 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_add__le__cancel__left_1,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_add__le__cancel__right_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.83/0.99 | c_lessequals(V_a,V_b,T_a)
% 0.83/0.99 | ~ 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_add__le__cancel__right_1,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_le__eq__neg_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_le__eq__neg_1,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.83/0.99 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_less__add__one_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_div__mult__div__if__dvd_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_w,T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_neg__le__0__iff__le_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_neg__le__0__iff__le_1,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_one__dvd_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.99 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_pdivmod__rel__by__0__iff_1,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.99 | V_r = V_x
% 0.83/0.99 | ~ c_Polynomial_Opdivmod__rel(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,V_r,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_abs__less__iff_2,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mod__add__self1_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mod__add__self2_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_abs__le__D2_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_add__minus__cancel_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.99 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a),T_a) = V_b ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_pCons__eq__iff_1,axiom,
% 0.83/0.99 ( ~ class_HOL_Ozero(T_a)
% 0.83/0.99 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_Polynomial_OpCons(V_b,V_q,T_a)
% 0.83/0.99 | V_p = V_q ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_pCons__eq__iff_0,axiom,
% 0.83/0.99 ( ~ class_HOL_Ozero(T_a)
% 0.83/0.99 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_Polynomial_OpCons(V_b,V_q,T_a)
% 0.83/0.99 | V_a = V_b ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_pos__add__strict_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_power__less__power__Suc_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_monom__eq__0__iff_0,axiom,
% 0.83/0.99 ( ~ class_HOL_Ozero(T_a)
% 0.83/0.99 | c_Polynomial_Omonom(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.83/0.99 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_zero__less__divide__iff_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.99 | ~ 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_zero__less__divide__iff_1,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.99 | ~ 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_zero__less__divide__iff_2,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/0.99 | ~ 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_zero__less__divide__iff_3,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/0.99 | ~ 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__nonneg__neg_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__nonpos__pos_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.83/0.99 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_pdivmod__rel__def_1,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.99 | ~ c_Polynomial_Opdivmod__rel(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,V_r,T_a)
% 0.83/0.99 | V_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_pdivmod__rel__0__iff_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.99 | V_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.83/0.99 | ~ c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_y,V_q,V_r,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_pdivmod__rel__0__iff_1,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.99 | V_r = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.83/0.99 | ~ c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_y,V_q,V_r,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_pdivmod__rel__by__0__iff_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.99 | V_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.83/0.99 | ~ c_Polynomial_Opdivmod__rel(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,V_r,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_less__eqI_1,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.99 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_less__eqI_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.99 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_le__eqI_1,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.99 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.83/0.99 | c_lessequals(V_y,V_x,T_a)
% 0.83/0.99 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_le__eqI_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.99 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.83/0.99 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.83/0.99 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_zmod__simps_I2_J_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_zmod__simps_I1_J_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_inf__period_I4_J_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Odvd(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 0.83/0.99 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_inf__period_I4_J_1,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Odvd(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 0.83/0.99 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mod__div__decomp_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mod__div__equality_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | 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 ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mod__div__equality2_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | 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 ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_order__less__le_2,axiom,
% 0.83/0.99 ( ~ class_Orderings_Oorder(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.83/0.99 | V_x = V_y
% 0.83/0.99 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_order__le__less_0,axiom,
% 0.83/0.99 ( ~ class_Orderings_Oorder(T_a)
% 0.83/0.99 | V_x = V_y
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.83/0.99 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_order__le__neq__trans_0,axiom,
% 0.83/0.99 ( ~ class_Orderings_Oorder(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.83/0.99 | V_a = V_b
% 0.83/0.99 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_order__neq__le__trans_0,axiom,
% 0.83/0.99 ( ~ class_Orderings_Oorder(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.83/0.99 | ~ c_lessequals(V_a,V_b,T_a)
% 0.83/0.99 | V_a = V_b ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.83/0.99 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/0.99 | V_x = V_y
% 0.83/0.99 | ~ c_lessequals(V_x,V_y,T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.83/0.99 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/0.99 | V_x = V_y
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.83/0.99 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_xt1_I12_J_0,axiom,
% 0.83/0.99 ( ~ class_Orderings_Oorder(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.83/0.99 | ~ c_lessequals(V_b,V_a,T_a)
% 0.83/0.99 | V_a = V_b ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_xt1_I11_J_0,axiom,
% 0.83/0.99 ( ~ class_Orderings_Oorder(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.83/0.99 | V_a = V_b
% 0.83/0.99 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__right__mono_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.99 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__right__mono__neg_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_smult__dvd__iff_4,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.99 | 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))
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_right__inverse__eq_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.99 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a)
% 0.83/0.99 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.99 | V_a = V_b ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_class__ring_Oneg__mul_0,axiom,
% 0.83/0.99 ( ~ class_Int_Onumber__ring(T_a)
% 0.83/0.99 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_x,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_abs__triangle__ineq2_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_dvd__div__neg_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Oring__div(T_a)
% 0.83/0.99 | c_Divides_Odiv__class_Odiv(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(V_x,V_y,T_a),T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_dvd__neg__div_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Oring__div(T_a)
% 0.83/0.99 | c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(V_x,V_y,T_a),T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_frac__less_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_lessequals(V_w,V_z,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.99 | ~ 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_abs__minus__commute_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/0.99 | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_minus__divide__right_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_minus__divide__left_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.99 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_one__le__inverse__iff_2,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_synthetic__div__unique__lemma_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.83/0.99 | c_Polynomial_Osmult(V_c,V_p,T_a) != c_Polynomial_OpCons(V_a,V_p,T_a)
% 0.83/0.99 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_div__add__self1_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_div__add__self2_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_abs__one_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/0.99 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_zero__less__two_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_poly__eq__0__iff__dvd_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/0.99 | c_Polynomial_Opoly(V_p,V_c,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.99 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(V_c,T_a),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_poly__eq__0__iff__dvd_1,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/0.99 | c_Polynomial_Opoly(V_p,V_c,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(V_c,T_a),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__less__eq_2,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__less__eq_3,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_less__divide__eq_2,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_less__divide__eq_3,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_power__Suc__less_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mod__minus__eq_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Oring__div(T_a)
% 0.83/0.99 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a),V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__neg__neg_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__pos__pos_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_zero__less__divide__iff_4,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_diff__frac__eq_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.99 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)
% 0.83/0.99 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.99 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/0.99 | ~ 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__strict__mono_H_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__imp__less__div__pos_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__imp__div__pos__less_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_less__divide__eq_6,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_less__divide__eq_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__less__eq_6,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__less__eq_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_abs__eq__mult_3,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.83/0.99 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_abs__eq__mult_2,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.83/0.99 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/0.99 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_abs__eq__mult_1,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.83/0.99 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_abs__eq__mult_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.83/0.99 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/0.99 | ~ 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__less__imp__less__right_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.99 | ~ 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__less__imp__less__left_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.99 | ~ 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__right__less__imp__less_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.99 | ~ 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__left__less__imp__less_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.99 | ~ 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_sum__squares__ge__zero_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__strict__mono_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__right__le__imp__le_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.83/0.99 | c_lessequals(V_a,V_b,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__left__le__imp__le_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.83/0.99 | c_lessequals(V_a,V_b,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_a,V_b,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/0.99 | c_lessequals(V_a,V_b,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_b,V_a,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/0.99 | c_lessequals(V_b,V_a,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/0.99 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.99 | ~ 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/0.99 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.99 | ~ 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_le__divide__eq_9,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__le__eq_9,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.83/0.99 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mod__mult__mult2_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mod__mult__mult1_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__dvd__mono_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_minus__mult__commute_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.83/0.99 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mod__mult__cong_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.83/0.99 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_abs__mult__self_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/0.99 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/0.99 | ~ class_Int_Onumber__ring(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | V_y = V_z
% 0.83/0.99 | V_w = V_x ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/0.99 | ~ class_Int_Onumber__ring(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | V_c = V_d
% 0.83/0.99 | V_a = V_b ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_power__commutes_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.83/0.99 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mod__mult__eq_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_dvd__mult__cancel__right_2,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_dvd__mult__cancel__left_2,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.83/0.99 | ~ 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.83/0.99 | ~ 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_minus__mult__minus_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.83/0.99 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_square__eq__iff_1,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/0.99 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_b,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__right_Ominus_0,axiom,
% 0.83/0.99 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.83/0.99 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult_Ominus__right_0,axiom,
% 0.83/0.99 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.83/0.99 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__left_Ominus_0,axiom,
% 0.83/0.99 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.83/0.99 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult_Ominus__left_0,axiom,
% 0.83/0.99 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.83/0.99 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_class__semiring_Omul__d_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult_Oadd__left_0,axiom,
% 0.83/0.99 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__left_Oadd_0,axiom,
% 0.83/0.99 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult_Oadd__right_0,axiom,
% 0.83/0.99 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__right_Oadd_0,axiom,
% 0.83/0.99 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_power__mult__distrib_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 0.83/0.99 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_class__semiring_Opwr__mul_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.99 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_q,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),c_Power_Opower__class_Opower(V_y,V_q,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_dvd__mult__right_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.99 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_dvd__mult__left_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.99 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_dvd__mult2_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.99 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_dvd__mult_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.99 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_minus__mult__right_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.83/0.99 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_minus__mult__left_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.83/0.99 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__frac__frac_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_abs__mult_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/0.99 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_square__eq__iff_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/0.99 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a)
% 0.83/0.99 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 0.83/0.99 | V_a = V_b ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_zmod__simps_I4_J_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__1__right_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.83/0.99 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__1__left_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.83/0.99 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__1_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 0.83/0.99 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_class__semiring_Omul__1_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.99 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.99 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.99 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_dvd__triv__right_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.99 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_dvd__triv__left_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.99 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_dvdI_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Odvd(T_a)
% 0.83/0.99 | c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/0.99 | ~ class_Int_Onumber__ring(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/0.99 | ~ class_Int_Onumber__ring(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_combine__common__factor_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__right_Odiff_0,axiom,
% 0.83/0.99 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.83/0.99 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult_Odiff__right_0,axiom,
% 0.83/0.99 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.83/0.99 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult_Odiff__left_0,axiom,
% 0.83/0.99 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.83/0.99 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_a_H,T_a),V_b,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__left_Odiff_0,axiom,
% 0.83/0.99 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.83/0.99 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mod__mult__right__eq_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mod__mult__left__eq_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mult__frac__num_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_DERIV__inverse__lemma_0,axiom,
% 0.83/0.99 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.83/0.99 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a),V_h,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_h,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a),T_a)
% 0.83/0.99 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.99 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_one__less__inverse__iff_2,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_le__imp__inverse__le__neg_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_inverse__le__imp__le__neg_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | c_lessequals(V_b,V_a,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_le__imp__inverse__le_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.99 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_inverse__le__imp__le_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | c_lessequals(V_b,V_a,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_nonzero__inverse__eq__divide_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_one__less__inverse__iff_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_zero__less__divide__iff_5,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_one__less__inverse__iff_1,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_dvd__add_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.99 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_group__add__class_Odiff__0_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.99 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_gt__half__sum_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_less__half__sum_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_diff__def_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.83/0.99 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_class__ring_Osub__add_0,axiom,
% 0.83/0.99 ( ~ class_Int_Onumber__ring(T_a)
% 0.83/0.99 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_diff__minus_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/0.99 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_ab__diff__minus_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.83/0.99 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_nonzero__minus__divide__divide_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.99 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)
% 0.83/0.99 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_div__dvd__div_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 0.83/0.99 | ~ 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)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_div__dvd__div_1,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_dvd__minus__iff_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.83/0.99 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_dvd__minus__iff_1,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.83/0.99 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_minus__dvd__iff_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.83/0.99 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_minus__dvd__iff_1,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.83/0.99 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__strict__right__mono_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__strict__right__mono__neg_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mod__diff__eq_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Oring__div(T_a)
% 0.83/0.99 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__nonneg__pos_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__nonpos__neg_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__1_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.99 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_abs__leI_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.83/0.99 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_abs__le__iff_2,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.83/0.99 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_abs__minus__cancel_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/0.99 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/0.99 | ~ class_Int_Onumber__ring(T_a)
% 0.83/0.99 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 0.83/0.99 | V_y = V_z ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_add__imp__eq_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.83/0.99 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 0.83/0.99 | V_b = V_c ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_add__left__cancel_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.83/0.99 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 0.83/0.99 | V_b = V_c ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_add__right__cancel_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.83/0.99 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 0.83/0.99 | V_b = V_c ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_pdivmod__rel__0_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_abs__le__zero__iff_1,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_add__nonneg__pos_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_add__pos__nonneg_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_dvd__imp__mod__0_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.99 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_dvd__eq__mod__eq__0_1,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.83/0.99 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_pCons__0__0_0,axiom,
% 0.83/0.99 ( ~ class_HOL_Ozero(T_a)
% 0.83/0.99 | c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__le__eq_5,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__le__eq_7,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_le__divide__eq_5,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_le__divide__eq_7,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_neg__0__le__iff__le_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.99 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_neg__0__le__iff__le_1,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_power__one_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.83/0.99 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_nonzero__abs__divide_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 0.83/0.99 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_coeff__monom_0,axiom,
% 0.83/0.99 ( ~ class_HOL_Ozero(T_a)
% 0.83/0.99 | c_Polynomial_Ocoeff(c_Polynomial_Omonom(V_a,V_x,T_a),V_x,T_a) = V_a ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mod__diff__left__eq_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Oring__div(T_a)
% 0.83/0.99 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mod__diff__right__eq_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Oring__div(T_a)
% 0.83/0.99 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_add__cancel__21_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_zero__le__power__abs_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_a,T_a),V_n,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_add__nonneg__nonneg_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_add__mono_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_lessequals(V_c,V_d,T_a)
% 0.83/0.99 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_leading__coeff__0__iff_1,axiom,
% 0.83/0.99 ( ~ class_HOL_Ozero(T_a)
% 0.83/0.99 | c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__less__0__1__iff_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_divide__less__0__1__iff_1,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/0.99 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/0.99 | 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)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_DERIV__mult__lemma_0,axiom,
% 0.83/0.99 ( ~ class_RealVector_Oreal__field(T_a)
% 0.83/0.99 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a),V_h,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),V_h,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),V_h,T_a),V_d,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_mod__mod__trivial_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_div__self_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | c_Divides_Odiv__class_Odiv(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.83/0.99 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_abs__diff__triangle__ineq_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),T_a),T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_add__strict__increasing_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.83/0.99 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.83/0.99 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_b,V_c,T_a)
% 0.83/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_zero__le__power__iff_1,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_zero__le__power_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_le__minus__self__iff_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.83/0.99 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_le__minus__self__iff_1,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.83/0.99 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_minus__le__self__iff_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_minus__le__self__iff_1,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_less__eq__neg__nonpos_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.83/0.99 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_less__eq__neg__nonpos_1,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.83/0.99 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_neg__less__eq__nonneg_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_neg__less__eq__nonneg_1,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_eq__add__iff1_1,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.83/0.99 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_one__le__power_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.83/0.99 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.83/0.99 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_abs__idempotent_0,axiom,
% 0.83/0.99 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/0.99 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_eq__add__iff1_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.83/0.99 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 0.83/0.99 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) = V_d ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_eq__add__iff2_0,axiom,
% 0.83/0.99 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.83/0.99 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 0.83/0.99 | V_c = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_div__mod__equality_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/0.99 | 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) ) ).
% 0.83/0.99
% 0.83/0.99 cnf(cls_div__mod__equality2_0,axiom,
% 0.83/0.99 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_zero__less__abs__iff_1,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_pdivmod__rel__by__0_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.83/1.00 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_divide__le__0__iff_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_divide__le__0__iff_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_divide__le__0__iff_2,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_divide__le__0__iff_3,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.00 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_power__minus_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oring__1(T_a)
% 0.83/1.00 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_n,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mod__div__trivial_0,axiom,
% 0.83/1.00 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_pCons__eq__0__iff_1,axiom,
% 0.83/1.00 ( ~ class_HOL_Ozero(T_a)
% 0.83/1.00 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.83/1.00 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_pCons__eq__0__iff_0,axiom,
% 0.83/1.00 ( ~ class_HOL_Ozero(T_a)
% 0.83/1.00 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mod__minus__cong_0,axiom,
% 0.83/1.00 ( ~ class_Divides_Oring__div(T_a)
% 0.83/1.00 | c_Divides_Odiv__class_Omod(V_a,V_b,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_b,T_a)
% 0.83/1.00 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a_H,T_a),V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__le__1__iff_2,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_div__poly__eq_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | c_Divides_Odiv__class_Odiv(V_x,V_y,tc_Polynomial_Opoly(T_a)) = V_q
% 0.83/1.00 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q,V_r,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_abs__ge__minus__self_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_abs__ge__self_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/1.00 | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_less__add__iff1_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__le__1__iff_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__le__1__iff_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a)
% 0.83/1.00 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_smult__dvd__iff_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | ~ 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))
% 0.83/1.00 | V_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_smult__dvd__iff_3,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | 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)) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_poly__pCons_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.83/1.00 | c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,V_p,T_a),V_x,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_x,c_Polynomial_Opoly(V_p,V_x,T_a),T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_poly__monom_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | c_Polynomial_Opoly(c_Polynomial_Omonom(V_a,V_n,T_a),V_x,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__1_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.83/1.00 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__eq__1__iff_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__minus__eq_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_power__inverse_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__divide_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__eq__1__iff_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_HOL_Oinverse__class_Oinverse(V_x,T_a) != c_HOL_Oone__class_Oone(T_a)
% 0.83/1.00 | V_x = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_abs__inverse_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_smult__0__right_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.83/1.00 | 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)) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_smult__eq__0__iff_2,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/1.00 | 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)) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_smult__1__left_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | c_Polynomial_Osmult(c_HOL_Oone__class_Oone(T_a),V_p,T_a) = V_p ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mod__smult__left_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_pdivmod__rel__smult__left_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q,V_r,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_div__smult__left_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_smult__dvd__cancel_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a))
% 0.83/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_dvd__smult_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a))
% 0.83/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__smult__right_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_Osmult(V_a,c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__smult__left_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) = c_Polynomial_Osmult(V_a,c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_Deriv_Oinverse__diff__inverse_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.83/1.00 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a),T_a)
% 0.83/1.00 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_divide__eq__eq_4,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_frac__eq__eq_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) != c_HOL_Otimes__class_Otimes(V_w,V_y,T_a)
% 0.83/1.00 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_frac__eq__eq_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) != c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a)
% 0.83/1.00 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) = c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.83/1.00 | ~ 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/1.00 | ~ 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mod__mult__self2__is__0_0,axiom,
% 0.83/1.00 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mod__mult__self1__is__0_0,axiom,
% 0.83/1.00 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_eq__divide__eq_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b
% 0.83/1.00 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_divide__eq__eq_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a)
% 0.83/1.00 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_eq__divide__eq_4,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.00 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_split__mult__neg__le_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.00 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_split__mult__neg__le_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__le__0__iff_5,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.00 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__le__0__iff_4,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_not__square__less__zero_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | ~ 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/1.00 | ~ 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_div__mult__mult2_0,axiom,
% 0.83/1.00 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_div__mult__mult1_0,axiom,
% 0.83/1.00 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__mono_H_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/1.00 | ~ c_lessequals(V_c,V_d,T_a)
% 0.83/1.00 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__mono_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.00 | ~ c_lessequals(V_c,V_d,T_a)
% 0.83/1.00 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_zero__le__mult__iff_3,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_zero__le__mult__iff_2,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_zero__le__mult__iff_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_zero__le__mult__iff_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_zero__le__mult__iff_5,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_zero__le__mult__iff_4,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_zero__le__square_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_split__mult__pos__le_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_split__mult__pos__le_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/1.00 | ~ class_Int_Onumber__ring(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | V_c = V_d
% 0.83/1.00 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__right__mono__neg_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__left__mono__neg_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__right__mono_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/1.00 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__left__mono_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/1.00 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__mono1_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/1.00 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__pos__neg2_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__pos__neg_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__neg__pos_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__le__0__iff_3,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.00 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__le__0__iff_2,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__le__0__iff_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__le__0__iff_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_div__mult__mult1__if_0,axiom,
% 0.83/1.00 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_dvd__mult__cancel__right_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_dvd__mult__cancel__left_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_eq__divide__imp_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_divide__eq__imp_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_eq__divide__eq_3,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)
% 0.83/1.00 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_divide__eq__eq_3,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a
% 0.83/1.00 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_div__mult__self2__is__id_0,axiom,
% 0.83/1.00 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/1.00 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_b,T_a) = V_a
% 0.83/1.00 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_div__mult__self1__is__id_0,axiom,
% 0.83/1.00 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/1.00 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),V_b,T_a) = V_a
% 0.83/1.00 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_zero__less__mult__pos2_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/1.00 | ~ 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_zero__less__mult__pos_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/1.00 | ~ 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__pos__pos_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__neg__neg_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__divide__mult__cancel__right_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__divide__mult__cancel__left_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__strict__right__mono_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__strict__left__mono_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_less__add__iff1_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_less__add__iff2_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_less__add__iff2_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mod__add__cong_0,axiom,
% 0.83/1.00 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/1.00 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.83/1.00 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_zero__less__power_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_minus__unique_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/1.00 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_eq__neg__iff__add__eq__0_1,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/1.00 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_div__power_0,axiom,
% 0.83/1.00 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/1.00 | c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(V_x,V_y,T_a),V_n,T_a) = c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_n,T_a),T_a)
% 0.83/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_not__one__less__zero_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_abs__less__iff_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_degree__monom__eq_0,axiom,
% 0.83/1.00 ( ~ class_HOL_Ozero(T_a)
% 0.83/1.00 | c_Polynomial_Odegree(c_Polynomial_Omonom(V_a,V_n,T_a),T_a) = V_n
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_zero__le__one_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__poly__0__left_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,tc_Polynomial_Opoly(T_a)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__poly__0__right_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_abs__power__minus_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/1.00 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a),T_a) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mod__by__1_0,axiom,
% 0.83/1.00 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/1.00 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_one__le__inverse__iff_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_abs__dvd__iff_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/1.00 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)
% 0.83/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_abs__dvd__iff_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/1.00 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a)
% 0.83/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_dvd__abs__iff_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/1.00 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)
% 0.83/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_dvd__abs__iff_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/1.00 | c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a)
% 0.83/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_linorder__neq__iff_1,axiom,
% 0.83/1.00 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_order__less__le_1,axiom,
% 0.83/1.00 ( ~ class_Orderings_Oorder(T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_order__less__irrefl_0,axiom,
% 0.83/1.00 ( ~ class_Orderings_Opreorder(T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_less__le__not__le_2,axiom,
% 0.83/1.00 ( ~ class_Orderings_Opreorder(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.83/1.00 | c_lessequals(V_y,V_x,T_a)
% 0.83/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_add__pos__pos_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_not__one__le__zero_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mod__diff__cong_0,axiom,
% 0.83/1.00 ( ~ class_Divides_Oring__div(T_a)
% 0.83/1.00 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.83/1.00 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.83/1.00 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_le__iff__diff__le__0_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_le__iff__diff__le__0_1,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/1.00 | c_lessequals(V_a,V_b,T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_add__strict__mono_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_order__le__less_1,axiom,
% 0.83/1.00 ( ~ class_Orderings_Oorder(T_a)
% 0.83/1.00 | c_lessequals(V_x,V_y,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_order__less__imp__le_0,axiom,
% 0.83/1.00 ( ~ class_Orderings_Opreorder(T_a)
% 0.83/1.00 | c_lessequals(V_x,V_y,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_add__cancel__end_1,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.83/1.00 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = V_y ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_minus__add__cancel_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/1.00 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = V_b ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_zero__le__divide__iff_4,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_zero__le__divide__iff_5,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_frac__le_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_lessequals(V_w,V_z,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 0.83/1.00 | ~ c_lessequals(V_x,V_y,T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_less__iff__diff__less__0_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_less__iff__diff__less__0_1,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_abs__not__less__zero_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_zero__less__one_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_power__inject__exp_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.83/1.00 | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 0.83/1.00 | V_m = V_n ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_abs__triangle__ineq4_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mod__mod__cancel_0,axiom,
% 0.83/1.00 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_zero__less__divide__1__iff_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.00 | ~ 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_zero__less__divide__1__iff_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_poly__dvd__antisym_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/1.00 | c_Polynomial_Ocoeff(V_p,c_Polynomial_Odegree(V_p,T_a),T_a) != c_Polynomial_Ocoeff(V_q,c_Polynomial_Odegree(V_q,T_a),T_a)
% 0.83/1.00 | V_p = V_q
% 0.83/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_q,V_p,tc_Polynomial_Opoly(T_a))
% 0.83/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.83/1.00 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_abs__if__lattice_1,axiom,
% 0.83/1.00 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/1.00 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 0.83/1.00 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_abs__if_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 0.83/1.00 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_Lim_Ominus__diff__minus_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.83/1.00 | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_nonzero__power__divide_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 0.83/1.00 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_poly__div__mult__right_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | c_Divides_Odiv__class_Odiv(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) = c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Odiv(V_x,V_y,tc_Polynomial_Opoly(T_a)),V_z,tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_abs__add__abs_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/1.00 | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_divide__le__eq_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_divide__le__eq_4,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_le__divide__eq_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/1.00 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_le__divide__eq_4,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_zero__less__abs__iff_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_divide__neg__pos_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_divide__pos__neg_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_divide__less__0__iff_4,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_divide__less__0__iff_5,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_add__less__cancel__left_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.83/1.00 | ~ 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_add__less__cancel__left_1,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_add__strict__left__mono_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_add__less__cancel__right_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.83/1.00 | ~ 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_add__less__cancel__right_1,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_add__strict__right__mono_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_order__eq__refl_0,axiom,
% 0.83/1.00 ( ~ class_Orderings_Opreorder(T_a)
% 0.83/1.00 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_order__eq__iff_0,axiom,
% 0.83/1.00 ( ~ class_Orderings_Oorder(T_a)
% 0.83/1.00 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_order__le__less__trans_0,axiom,
% 0.83/1.00 ( ~ class_Orderings_Opreorder(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.83/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_order__less__le__trans_0,axiom,
% 0.83/1.00 ( ~ class_Orderings_Opreorder(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.83/1.00 | ~ c_lessequals(V_y,V_z,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_le__add__right__mono_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/1.00 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_c,V_d,T_a)
% 0.83/1.00 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_order__trans_0,axiom,
% 0.83/1.00 ( ~ class_Orderings_Opreorder(T_a)
% 0.83/1.00 | c_lessequals(V_x,V_z,T_a)
% 0.83/1.00 | ~ c_lessequals(V_y,V_z,T_a)
% 0.83/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_add__nonpos__nonpos_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_xt1_I8_J_0,axiom,
% 0.83/1.00 ( ~ class_Orderings_Oorder(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.83/1.00 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_xt1_I7_J_0,axiom,
% 0.83/1.00 ( ~ class_Orderings_Oorder(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.83/1.00 | ~ c_lessequals(V_z,V_y,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_xt1_I6_J_0,axiom,
% 0.83/1.00 ( ~ class_Orderings_Oorder(T_a)
% 0.83/1.00 | c_lessequals(V_z,V_x,T_a)
% 0.83/1.00 | ~ c_lessequals(V_z,V_y,T_a)
% 0.83/1.00 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__less__1__iff_2,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_semiring__div__class_Omod__div__equality_H_0,axiom,
% 0.83/1.00 ( ~ class_Divides_Osemiring__div(T_a)
% 0.83/1.00 | 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 ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_abs__diff__less__iff_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_neg__0__less__iff__less_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_neg__0__less__iff__less_1,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_less__minus__self__iff_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_less__minus__self__iff_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_abs__ge__zero_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_monom__eq__iff_0,axiom,
% 0.83/1.00 ( ~ class_HOL_Ozero(T_a)
% 0.83/1.00 | c_Polynomial_Omonom(V_a,V_n,T_a) != c_Polynomial_Omonom(V_b,V_n,T_a)
% 0.83/1.00 | V_a = V_b ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_dvd__if__abs__eq_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.83/1.00 | c_HOL_Oabs__class_Oabs(V_l,T_a) != c_HOL_Oabs__class_Oabs(V_k,T_a)
% 0.83/1.00 | c_Ring__and__Field_Odvd__class_Odvd(V_l,V_k,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_minus__add_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.83/1.00 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_minus__add__distrib_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.83/1.00 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_order__less__asym_H_0,axiom,
% 0.83/1.00 ( ~ class_Orderings_Opreorder(T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_order__less__asym_0,axiom,
% 0.83/1.00 ( ~ class_Orderings_Opreorder(T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_linorder__linear_0,axiom,
% 0.83/1.00 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/1.00 | c_lessequals(V_y,V_x,T_a)
% 0.83/1.00 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.83/1.00 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_xt1_I9_J_0,axiom,
% 0.83/1.00 ( ~ class_Orderings_Oorder(T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.83/1.00 | ~ 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.83/1.00 | ~ 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_dvd__mult__cancel__right_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/1.00 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 0.83/1.00 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | ~ 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_dvd__mult__cancel__left_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/1.00 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 0.83/1.00 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | ~ 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_negative__imp__inverse__negative_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__negative__iff__negative_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__negative__iff__negative_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_nonzero__inverse__minus__eq_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.83/1.00 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_nonzero__power__inverse_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.83/1.00 | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__nonnegative__iff__nonnegative_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__nonnegative__iff__nonnegative_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_less__imp__inverse__less__neg_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__less__imp__less__neg_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_less__imp__inverse__less_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__less__imp__less_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/1.00 | ~ 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__positive__imp__positive_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_nonzero__abs__inverse_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__negative__imp__negative_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__nonpositive__iff__nonpositive_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__nonpositive__iff__nonpositive_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.83/1.00 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_positive__imp__inverse__positive_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__positive__iff__positive_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__positive__iff__positive_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.83/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_class__fieldgb_Odivide__inverse_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | ~ class_Int_Onumber__ring(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_divide__inverse_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__unique_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a)
% 0.83/1.00 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = V_b ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_poly__0_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.83/1.00 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_order__root_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/1.00 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_poly__decompose__lemma_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oidom(t_a)
% 0.83/1.00 | v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2(V_p) != c_HOL_Ozero__class_Ozero(t_a)
% 0.83/1.00 | c_Polynomial_Opoly(V_p,V_z,t_a) = c_HOL_Ozero__class_Ozero(t_a)
% 0.83/1.00 | V_z = c_HOL_Ozero__class_Ozero(t_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_smult__0__left_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.83/1.00 | c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_smult__eq__0__iff_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/1.00 | c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mod__smult__right_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | 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))
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_smult__eq__0__iff_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/1.00 | c_Polynomial_Osmult(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.83/1.00 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_dvd__smult__cancel_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a))
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_smult__dvd_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a))
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_dvd__smult__iff_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a))
% 0.83/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a))
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_dvd__smult__iff_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a))
% 0.83/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a))
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_smult__dvd__iff_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a))
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_smult__dvd__iff_2,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a))
% 0.83/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a))
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_degree__smult__eq_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.83/1.00 | c_Polynomial_Odegree(c_Polynomial_Osmult(V_a,V_p,T_a),T_a) = c_Polynomial_Odegree(V_p,T_a)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_poly__mult_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.83/1.00 | c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(V_p,V_x,T_a),c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_smult__monom_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.83/1.00 | c_Polynomial_Osmult(V_a,c_Polynomial_Omonom(V_b,V_n,T_a),T_a) = c_Polynomial_Omonom(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_n,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_smult__pCons_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.83/1.00 | c_Polynomial_Osmult(V_a,c_Polynomial_OpCons(V_b,V_p,T_a),T_a) = c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_Polynomial_Osmult(V_a,V_p,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_coeff__smult_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.83/1.00 | c_Polynomial_Ocoeff(c_Polynomial_Osmult(V_a,V_p,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Polynomial_Ocoeff(V_p,V_n,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_complex__divide__def_0,axiom,
% 0.83/1.00 c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oinverse__class_Oinverse(V_y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_division__ring__inverse__diff_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.83/1.00 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)
% 0.83/1.00 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_division__ring__inverse__add_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__add_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_right__inverse_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_left__inverse_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_field__inverse_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_div__smult__right_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_pdivmod__rel__smult__right_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q,V_r,T_a)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_lgqr_0,axiom,
% 0.83/1.00 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) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_calculation_0,axiom,
% 0.83/1.00 c_Polynomial_Opoly(v_q____,v_x____,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_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__zero__imp__zero_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.83/1.00 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__nonzero__iff__nonzero_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__eq__0__iff_2,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__eq__0__iff_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__zero__right_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__zero__left_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_class__semiring_Omul__0_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__right_Ozero_0,axiom,
% 0.83/1.00 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult_Ozero__right_0,axiom,
% 0.83/1.00 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult_Ozero__left_0,axiom,
% 0.83/1.00 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__left_Ozero_0,axiom,
% 0.83/1.00 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_qr_0,axiom,
% 0.83/1.00 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) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_nonzero__inverse__inverse__eq_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.83/1.00 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_nonzero__inverse__mult__distrib_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.83/1.00 | 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)
% 0.83/1.00 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__mult__distrib_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_a00_0,axiom,
% 0.83/1.00 c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_class__semiring_Omul__a_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(V_lx,V_ry,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ry,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,V_rx,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ly,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__zero_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__nonzero__iff__nonzero_1,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_nonzero__inverse__eq__imp__eq_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.83/1.00 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 0.83/1.00 | V_a = V_b
% 0.83/1.00 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__eq__iff__eq_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 0.83/1.00 | V_a = V_b ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__idem_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_h_0,axiom,
% 0.83/1.00 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) = 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_y,tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__left__idem_0,axiom,
% 0.83/1.00 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_mult__eq__0__iff_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_no__zero__divisors_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.83/1.00 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_inverse__inverse__eq_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.83/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.83/1.00 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_class__semiring_Omul__c_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.83/1.00 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_poly__smult_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_smult__smult_0,axiom,
% 0.83/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.83/1.00 | 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) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_CHAINED_0,axiom,
% 0.83/1.00 c_Polynomial_Opoly(v_q____,v_y____,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_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(cls_conjecture_0,negated_conjecture,
% 0.83/1.00 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_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 0.83/1.00 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 0.83/1.00 class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 0.83/1.00 class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.83/1.00 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.83/1.00 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 0.83/1.00 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 0.83/1.00 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 0.83/1.00 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.83/1.00 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.83/1.00 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.83/1.00 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.83/1.00 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
% 0.83/1.00 class_Ring__and__Field_Opordered__semiring(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom,
% 0.83/1.00 class_Ring__and__Field_Oordered__semiring(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.83/1.00 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.83/1.00 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.83/1.00 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__0,axiom,
% 0.83/1.00 class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.83/1.00 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom,
% 0.83/1.00 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 0.83/1.00 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 0.83/1.00 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.83/1.00 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 0.83/1.00 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
% 0.83/1.00 class_Ring__and__Field_Omult__mono1(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 0.83/1.00 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
% 0.83/1.00 class_Ring__and__Field_Omult__mono(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 0.83/1.00 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 0.83/1.00 class_Ring__and__Field_Osemiring(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 0.83/1.00 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__Divides_Osemiring__div,axiom,
% 0.83/1.00 class_Divides_Osemiring__div(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__Ring__and__Field_Odvd,axiom,
% 0.83/1.00 class_Ring__and__Field_Odvd(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.83/1.00 class_Orderings_Opreorder(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.83/1.00 class_Orderings_Olinorder(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.83/1.00 class_Orderings_Oorder(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__Power_Opower,axiom,
% 0.83/1.00 class_Power_Opower(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_nat__HOL_Ozero,axiom,
% 0.83/1.00 class_HOL_Ozero(tc_nat) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 0.83/1.00 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 0.83/1.00 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.83/1.00 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.83/1.00 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.83/1.00 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom,
% 0.83/1.00 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.83/1.00 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom,
% 0.83/1.00 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
% 0.83/1.00 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.83/1.00 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom,
% 0.83/1.00 class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom,
% 0.83/1.00 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,axiom,
% 0.83/1.00 class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom,
% 0.83/1.00 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom,
% 0.83/1.00 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.83/1.00 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom,
% 0.83/1.00 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1,axiom,
% 0.83/1.00 class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
% 0.83/1.00 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom,
% 0.83/1.00 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring,axiom,
% 0.83/1.00 class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
% 0.83/1.00 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom,
% 0.83/1.00 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom,
% 0.83/1.00 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
% 0.83/1.00 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1,axiom,
% 0.83/1.00 class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__field,axiom,
% 0.83/1.00 class_RealVector_Oreal__field(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
% 0.83/1.00 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom,
% 0.83/1.00 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
% 0.83/1.00 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odvd,axiom,
% 0.83/1.00 class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
% 0.83/1.00 class_Int_Onumber__ring(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__Power_Opower,axiom,
% 0.83/1.00 class_Power_Opower(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Complex__Ocomplex__HOL_Ozero,axiom,
% 0.83/1.00 class_HOL_Ozero(tc_Complex_Ocomplex) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.83/1.00 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.83/1.00 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring__strict,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.83/1.00 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 0.83/1.00 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.83/1.00 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.83/1.00 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add,axiom,
% 0.83/1.00 ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oordered__ab__group__add,axiom,
% 0.83/1.00 ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.83/1.00 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__semiring,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring__abs,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semidom,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.83/1.00 ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__mult,axiom,
% 0.83/1.00 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__add,axiom,
% 0.83/1.00 ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.83/1.00 ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ozero__neq__one,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__idom,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono1,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add,axiom,
% 0.83/1.00 ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__mult,axiom,
% 0.83/1.00 ( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add,axiom,
% 0.83/1.00 ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add,axiom,
% 0.83/1.00 ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oabs__if,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Divides_Osemiring__div,axiom,
% 0.83/1.00 ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Ofield(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oidom,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Odvd,axiom,
% 0.83/1.00 ( class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Orderings_Opreorder,axiom,
% 0.83/1.00 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Orderings_Olinorder,axiom,
% 0.83/1.00 ( class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Divides_Oring__div,axiom,
% 0.83/1.00 ( class_Divides_Oring__div(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Ofield(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Orderings_Oorder,axiom,
% 0.83/1.00 ( class_Orderings_Oorder(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Int_Onumber__ring,axiom,
% 0.83/1.00 ( class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__Power_Opower,axiom,
% 0.83/1.00 ( class_Power_Opower(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 cnf(clsarity_Polynomial__Opoly__HOL_Ozero,axiom,
% 0.83/1.00 ( class_HOL_Ozero(tc_Polynomial_Opoly(T_1))
% 0.83/1.00 | ~ class_HOL_Ozero(T_1) ) ).
% 0.83/1.00
% 0.83/1.00 %------------------------------------------------------------------------------
% 0.83/1.00 %-------------------------------------------
% 0.83/1.00 % Proof found
% 0.83/1.00 % SZS status Theorem for theBenchmark
% 0.83/1.00 % SZS output start Proof
% 0.83/1.00 %ClaNum:1094(EqnAxiom:133)
% 0.83/1.00 %VarNum:8144(SingletonVarNum:2400)
% 0.83/1.00 %MaxLitNum:6
% 0.83/1.00 %MaxfuncDepth:5
% 0.83/1.00 %SharedTerms:93
% 0.83/1.00 %goalClause: 211
% 0.83/1.00 %singleGoalClaCount:1
% 0.83/1.00 [134]P1(a1)
% 0.83/1.00 [135]P2(a22)
% 0.83/1.00 [136]P3(a1)
% 0.83/1.00 [137]P3(a22)
% 0.83/1.00 [138]P45(a22)
% 0.83/1.00 [139]P4(a1)
% 0.83/1.00 [140]P46(a1)
% 0.83/1.00 [141]P30(a1)
% 0.83/1.00 [142]P31(a1)
% 0.83/1.00 [143]P20(a1)
% 0.83/1.00 [144]P32(a22)
% 0.83/1.00 [145]P5(a1)
% 0.83/1.00 [146]P5(a22)
% 0.83/1.00 [147]P6(a22)
% 0.83/1.00 [148]P49(a1)
% 0.83/1.00 [149]P39(a1)
% 0.83/1.00 [150]P39(a22)
% 0.83/1.00 [151]P34(a22)
% 0.83/1.00 [152]P35(a22)
% 0.83/1.00 [153]P14(a1)
% 0.83/1.00 [154]P14(a22)
% 0.83/1.00 [155]P36(a22)
% 0.83/1.00 [156]P40(a1)
% 0.83/1.00 [157]P12(a1)
% 0.83/1.00 [158]P59(a1)
% 0.83/1.00 [159]P33(a22)
% 0.83/1.00 [160]P66(a1)
% 0.83/1.00 [161]P66(a22)
% 0.83/1.00 [162]P67(a1)
% 0.83/1.00 [163]P50(a1)
% 0.83/1.00 [164]P50(a22)
% 0.83/1.00 [165]P51(a1)
% 0.83/1.00 [166]P51(a22)
% 0.83/1.00 [167]P37(a1)
% 0.83/1.00 [168]P37(a22)
% 0.83/1.00 [169]P22(a1)
% 0.83/1.00 [170]P22(a22)
% 0.83/1.00 [171]P60(a22)
% 0.83/1.00 [172]P25(a22)
% 0.83/1.00 [173]P47(a1)
% 0.83/1.00 [174]P47(a22)
% 0.83/1.00 [175]P41(a1)
% 0.83/1.00 [176]P43(a1)
% 0.83/1.00 [177]P43(a22)
% 0.83/1.00 [178]P61(a22)
% 0.83/1.00 [179]P26(a1)
% 0.83/1.00 [180]P26(a22)
% 0.83/1.00 [181]P44(a1)
% 0.83/1.00 [182]P44(a22)
% 0.83/1.00 [183]P21(a1)
% 0.83/1.00 [184]P21(a22)
% 0.83/1.00 [185]P69(a1)
% 0.83/1.00 [186]P69(a22)
% 0.83/1.00 [187]P15(a1)
% 0.83/1.00 [188]P15(a22)
% 0.83/1.00 [189]P18(a1)
% 0.83/1.00 [190]P18(a22)
% 0.83/1.00 [191]P38(a1)
% 0.83/1.00 [192]P68(a1)
% 0.83/1.00 [193]P48(a1)
% 0.83/1.00 [194]P62(a22)
% 0.83/1.00 [195]P63(a22)
% 0.83/1.00 [196]P52(a22)
% 0.83/1.00 [197]P54(a22)
% 0.83/1.00 [198]P55(a22)
% 0.83/1.00 [199]P70(a1)
% 0.83/1.00 [200]P16(a1)
% 0.83/1.00 [201]P16(a22)
% 0.83/1.00 [202]P19(a1)
% 0.83/1.00 [203]P19(a22)
% 0.83/1.00 [210]~E(f14(a24,f12(a1),a1),f12(a1))
% 0.83/1.00 [207]E(f8(f14(f19(f2(f14(a24,f12(a1),a1),a1),a24,a1),a25,a1),f14(a24,f12(a1),a1),a1),f14(a24,a26,a1))
% 0.83/1.00 [211]~E(f8(f14(f19(f2(f14(a24,f12(a1),a1),a1),a24,a1),a25,a1),f14(a24,f12(a1),a1),a1),f14(a24,a25,a1))
% 0.83/1.00 [205]E(f4(f19(f2(f14(a24,f12(a1),a1),a1),a24,a1),a1),f4(a24,a1))
% 0.83/1.00 [209]E(f8(f14(f19(f2(f14(a24,f12(a1),a1),a1),a24,a1),x2091,a1),f14(a24,f12(a1),a1),a1),f14(a24,x2091,a1))
% 0.83/1.00 [204]E(f8(x2041,f2(x2042,a1),a1),f3(x2041,x2042,a1))
% 0.83/1.00 [206]E(f14(f19(f2(f14(a24,f12(a1),a1),a1),a24,a1),x2061,a1),f14(f19(f2(f14(a24,f12(a1),a1),a1),a24,a1),x2062,a1))
% 0.83/1.00 [212]~P56(x2121)+P2(f23(x2121))
% 0.83/1.00 [213]~P3(x2131)+P3(f23(x2131))
% 0.83/1.00 [214]~P56(x2141)+P45(f23(x2141))
% 0.83/1.00 [215]~P4(x2151)+P4(f23(x2151))
% 0.83/1.00 [216]~P56(x2161)+P56(f23(x2161))
% 0.83/1.00 [217]~P4(x2171)+P20(f23(x2171))
% 0.83/1.00 [218]~P56(x2181)+P32(f23(x2181))
% 0.83/1.00 [219]~P5(x2191)+P5(f23(x2191))
% 0.83/1.00 [220]~P46(x2201)+P6(f23(x2201))
% 0.83/1.00 [221]~P49(x2211)+P49(f23(x2211))
% 0.83/1.00 [222]~P39(x2221)+P39(f23(x2221))
% 0.83/1.00 [223]~P56(x2231)+P27(f23(x2231))
% 0.83/1.00 [224]~P56(x2241)+P34(f23(x2241))
% 0.83/1.00 [225]~P56(x2251)+P35(f23(x2251))
% 0.83/1.00 [226]~P3(x2261)+P14(f23(x2261))
% 0.83/1.00 [227]~P56(x2271)+P36(f23(x2271))
% 0.83/1.00 [228]~P56(x2281)+P28(f23(x2281))
% 0.83/1.00 [229]~P40(x2291)+P40(f23(x2291))
% 0.83/1.00 [230]~P40(x2301)+P12(f23(x2301))
% 0.83/1.00 [231]~P41(x2311)+P59(f23(x2311))
% 0.83/1.00 [232]~P56(x2321)+P64(f23(x2321))
% 0.83/1.00 [233]~P56(x2331)+P42(f23(x2331))
% 0.83/1.00 [234]~P56(x2341)+P33(f23(x2341))
% 0.83/1.00 [235]~P56(x2351)+P29(f23(x2351))
% 0.83/1.00 [236]~P39(x2361)+P66(f23(x2361))
% 0.83/1.00 [237]~P49(x2371)+P67(f23(x2371))
% 0.83/1.00 [238]~P49(x2381)+P50(f23(x2381))
% 0.83/1.00 [239]~P43(x2391)+P51(f23(x2391))
% 0.83/1.00 [240]~P39(x2401)+P37(f23(x2401))
% 0.83/1.00 [241]~P3(x2411)+P22(f23(x2411))
% 0.83/1.00 [242]~P56(x2421)+P60(f23(x2421))
% 0.83/1.00 [243]~P56(x2431)+P25(f23(x2431))
% 0.83/1.00 [244]~P39(x2441)+P47(f23(x2441))
% 0.83/1.00 [245]~P41(x2451)+P41(f23(x2451))
% 0.83/1.00 [246]~P46(x2461)+P7(f23(x2461))
% 0.83/1.00 [247]~P43(x2471)+P43(f23(x2471))
% 0.83/1.00 [248]~P56(x2481)+P58(f23(x2481))
% 0.83/1.00 [249]~P56(x2491)+P65(f23(x2491))
% 0.83/1.00 [250]~P56(x2501)+P61(f23(x2501))
% 0.83/1.00 [251]~P39(x2511)+P26(f23(x2511))
% 0.83/1.00 [252]~P43(x2521)+P44(f23(x2521))
% 0.83/1.00 [253]~P39(x2531)+P21(f23(x2531))
% 0.83/1.00 [254]~P43(x2541)+P69(f23(x2541))
% 0.83/1.00 [255]~P19(x2551)+P15(f23(x2551))
% 0.83/1.00 [256]~P19(x2561)+P18(f23(x2561))
% 0.83/1.00 [257]~P40(x2571)+P68(f23(x2571))
% 0.83/1.00 [258]~P56(x2581)+P62(f23(x2581))
% 0.83/1.00 [259]~P56(x2591)+P63(f23(x2591))
% 0.83/1.00 [260]~P56(x2601)+P52(f23(x2601))
% 0.83/1.00 [261]~P56(x2611)+P54(f23(x2611))
% 0.83/1.00 [262]~P56(x2621)+P55(f23(x2621))
% 0.83/1.00 [263]~P49(x2631)+P70(f23(x2631))
% 0.83/1.00 [264]~P43(x2641)+P16(f23(x2641))
% 0.83/1.00 [265]~P19(x2651)+P19(f23(x2651))
% 0.83/1.00 [267]~P66(x2671)+~E(f9(x2671),f12(x2671))
% 0.83/1.00 [347]~P45(x3471)+P8(f12(x3471),f9(x3471),x3471)
% 0.83/1.00 [348]~P45(x3481)+P10(f12(x3481),f9(x3481),x3481)
% 0.83/1.00 [404]~P45(x4041)+~P8(f9(x4041),f12(x4041),x4041)
% 0.83/1.00 [405]~P45(x4051)+~P10(f9(x4051),f12(x4051),x4051)
% 0.83/1.00 [269]~P20(x2691)+E(f13(f12(x2691),x2691),f12(x2691))
% 0.83/1.00 [270]~P29(x2701)+E(f13(f12(x2701),x2701),f12(x2701))
% 0.83/1.00 [271]~P1(x2711)+E(f2(f12(x2711),x2711),f12(x2711))
% 0.83/1.00 [272]~P48(x2721)+E(f2(f9(x2721),x2721),f9(x2721))
% 0.83/1.00 [273]~P27(x2731)+E(f7(f12(x2731),x2731),f12(x2731))
% 0.83/1.00 [274]~P56(x2741)+E(f7(f9(x2741),x2741),f9(x2741))
% 0.83/1.00 [354]~P23(x3541)+E(f11(f12(x3541),f12(x3541),x3541),f12(x3541))
% 0.83/1.00 [395]~P27(x3951)+P8(f7(f12(x3951),x3951),f12(x3951),x3951)
% 0.83/1.00 [463]~P27(x4631)+~P10(f12(x4631),f7(f12(x4631),x4631),x4631)
% 0.83/1.00 [554]~P45(x5541)+P10(f12(x5541),f11(f9(x5541),f9(x5541),x5541),x5541)
% 0.83/1.00 [385]~P5(x3851)+E(f18(f12(x3851),f12(f23(x3851)),x3851),f12(f23(x3851)))
% 0.83/1.00 [689]~P58(x6891)+E(f11(f8(f12(x6891),f12(x6891),x6891),f8(f12(x6891),f12(x6891),x6891),x6891),f12(x6891))
% 0.83/1.00 [1028]~P58(x10281)+P8(f11(f8(f12(x10281),f12(x10281),x10281),f8(f12(x10281),f12(x10281),x10281),x10281),f12(x10281),x10281)
% 0.83/1.00 [1066]~P58(x10661)+~P10(f12(x10661),f11(f8(f12(x10661),f12(x10661),x10661),f8(f12(x10661),f12(x10661),x10661),x10661),x10661)
% 0.83/1.00 [296]~P35(x2962)+P8(x2961,x2961,x2962)
% 0.83/1.00 [297]~P36(x2972)+P8(x2971,x2971,x2972)
% 0.83/1.00 [298]~P39(x2982)+P9(x2981,x2981,x2982)
% 0.83/1.00 [378]~P10(x3782,x3782,x3781)+~P34(x3781)
% 0.83/1.00 [379]~P10(x3792,x3792,x3791)+~P35(x3791)
% 0.83/1.00 [380]~P10(x3802,x3802,x3801)+~P36(x3801)
% 0.83/1.00 [299]~P17(x2992)+E(f8(x2991,x2991,x2992),x2991)
% 0.83/1.00 [301]~P4(x3012)+E(f10(x3011,x3011,x3012),f12(x3012))
% 0.83/1.00 [303]~P20(x3032)+E(f10(x3031,x3031,x3032),f12(x3032))
% 0.83/1.00 [304]~P6(x3042)+E(f5(x3041,x3041,x3042),f12(x3042))
% 0.83/1.00 [305]~P39(x3052)+P9(x3051,f12(x3052),x3052)
% 0.83/1.00 [306]~P39(x3061)+P9(f9(x3061),x3062,x3061)
% 0.83/1.00 [367]~P27(x3672)+P8(x3671,f7(x3671,x3672),x3672)
% 0.83/1.00 [381]~P27(x3811)+P8(f12(x3811),f7(x3812,x3811),x3811)
% 0.83/1.00 [406]~P27(x4062)+P8(f13(x4061,x4062),f7(x4061,x4062),x4062)
% 0.83/1.00 [444]~P27(x4441)+~P10(f7(x4442,x4441),f12(x4441),x4441)
% 0.83/1.00 [482]~P58(x4821)+P8(f12(x4821),f8(x4822,x4822,x4821),x4821)
% 0.83/1.00 [640]~P58(x6401)+~P10(f8(x6402,x6402,x6401),f12(x6401),x6401)
% 0.83/1.00 [285]~P20(x2852)+E(f13(f13(x2851,x2852),x2852),x2851)
% 0.83/1.00 [286]~P13(x2862)+E(f13(f13(x2861,x2862),x2862),x2861)
% 0.83/1.00 [294]~P27(x2942)+E(f7(f13(x2941,x2942),x2942),f7(x2941,x2942))
% 0.83/1.00 [295]~P27(x2952)+E(f7(f7(x2951,x2952),x2952),f7(x2951,x2952))
% 0.83/1.00 [307]~P46(x3072)+E(f3(x3071,f9(x3072),x3072),x3071)
% 0.83/1.00 [308]~P3(x3082)+E(f11(x3081,f12(x3082),x3082),x3081)
% 0.83/1.00 [309]~P39(x3092)+E(f11(x3091,f12(x3092),x3092),x3091)
% 0.83/1.00 [310]~P22(x3102)+E(f11(x3101,f12(x3102),x3102),x3101)
% 0.83/1.00 [311]~P20(x3112)+E(f10(x3111,f12(x3112),x3112),x3111)
% 0.83/1.00 [312]~P6(x3122)+E(f5(x3121,f12(x3122),x3122),x3121)
% 0.83/1.00 [313]~P39(x3132)+E(f8(x3131,f9(x3132),x3132),x3131)
% 0.83/1.00 [314]~P26(x3142)+E(f8(x3141,f9(x3142),x3142),x3141)
% 0.83/1.00 [315]~P6(x3152)+E(f6(x3151,f9(x3152),x3152),x3151)
% 0.83/1.00 [316]~P3(x3161)+E(f11(f12(x3161),x3162,x3161),x3162)
% 0.83/1.00 [318]~P39(x3181)+E(f11(f12(x3181),x3182,x3181),x3182)
% 0.83/1.00 [319]~P22(x3191)+E(f11(f12(x3191),x3192,x3191),x3192)
% 0.83/1.00 [321]~P39(x3211)+E(f8(f9(x3211),x3212,x3211),x3212)
% 0.83/1.00 [322]~P26(x3221)+E(f8(f9(x3221),x3222,x3221),x3222)
% 0.83/1.00 [323]~P21(x3231)+E(f8(f9(x3231),x3232,x3231),x3232)
% 0.83/1.00 [324]~P39(x3241)+E(f19(f9(x3241),x3242,x3241),x3242)
% 0.83/1.00 [328]~P6(x3282)+E(f5(x3281,f9(x3282),x3282),f12(x3282))
% 0.83/1.00 [330]~P31(x3302)+E(f8(x3301,f12(x3302),x3302),f12(x3302))
% 0.83/1.00 [331]~P39(x3312)+E(f8(x3311,f12(x3312),x3312),f12(x3312))
% 0.83/1.00 [332]~P51(x3322)+E(f8(x3321,f12(x3322),x3322),f12(x3322))
% 0.83/1.00 [333]~P70(x3332)+E(f8(x3331,f12(x3332),x3332),f12(x3332))
% 0.83/1.00 [334]~P6(x3342)+E(f6(x3341,f12(x3342),x3342),f12(x3342))
% 0.83/1.00 [335]~P46(x3351)+E(f3(f12(x3351),x3352,x3351),f12(x3351))
% 0.83/1.00 [336]~P30(x3361)+E(f3(f12(x3361),x3362,x3361),f12(x3361))
% 0.83/1.00 [337]~P26(x3371)+E(f20(f9(x3371),x3372,x3371),f9(x3371))
% 0.83/1.00 [338]~P6(x3381)+E(f5(f12(x3381),x3382,x3381),f12(x3381))
% 0.83/1.00 [340]~P31(x3401)+E(f8(f12(x3401),x3402,x3401),f12(x3401))
% 0.83/1.00 [342]~P39(x3421)+E(f8(f12(x3421),x3422,x3421),f12(x3421))
% 0.83/1.00 [343]~P51(x3431)+E(f8(f12(x3431),x3432,x3431),f12(x3431))
% 0.83/1.00 [344]~P70(x3441)+E(f8(f12(x3441),x3442,x3441),f12(x3441))
% 0.83/1.00 [345]~P6(x3451)+E(f6(f12(x3451),x3452,x3451),f12(x3451))
% 0.83/1.00 [351]~P5(x3511)+E(f15(f12(x3511),x3512,x3511),f12(f23(x3511)))
% 0.83/1.00 [352]~P49(x3521)+E(f19(f12(x3521),x3522,x3521),f12(f23(x3521)))
% 0.83/1.00 [353]~P43(x3531)+E(f19(f12(x3531),x3532,x3531),f12(f23(x3531)))
% 0.83/1.00 [359]~P46(x3591)+E(f3(f9(x3591),x3592,x3591),f2(x3592,x3591))
% 0.83/1.00 [360]~P20(x3601)+E(f10(f12(x3601),x3602,x3601),f13(x3602,x3601))
% 0.83/1.00 [372]~P20(x3722)+E(f11(x3721,f13(x3721,x3722),x3722),f12(x3722))
% 0.83/1.00 [373]~P4(x3732)+E(f11(f13(x3731,x3732),x3731,x3732),f12(x3732))
% 0.83/1.00 [375]~P20(x3752)+E(f11(f13(x3751,x3752),x3751,x3752),f12(x3752))
% 0.83/1.00 [384]~P43(x3842)+E(f8(x3841,f12(f23(x3842)),f23(x3842)),f12(f23(x3842)))
% 0.83/1.00 [386]~P43(x3861)+E(f8(f12(f23(x3861)),x3862,f23(x3861)),f12(f23(x3861)))
% 0.83/1.00 [445]~P27(x4452)+P8(f13(f7(x4451,x4452),x4452),f12(x4452),x4452)
% 0.83/1.00 [466]~P49(x4662)+E(f8(f13(x4661,x4662),f13(x4661,x4662),x4662),f8(x4661,x4661,x4662))
% 0.83/1.00 [467]~P56(x4672)+E(f8(f7(x4671,x4672),f7(x4671,x4672),x4672),f8(x4671,x4671,x4672))
% 0.83/1.00 [505]~P45(x5052)+P10(x5051,f11(x5051,f9(x5052),x5052),x5052)
% 0.83/1.00 [562]~P46(x5621)+P9(f19(f12(x5621),x5622,x5621),f12(f23(x5621)),f23(x5621))
% 0.83/1.00 [1068]~P46(x10682)+P11(x10681,f12(f23(x10682)),f12(f23(x10682)),x10681,x10682)
% 0.83/1.00 [1069]~P46(x10691)+P11(f12(f23(x10691)),x10692,f12(f23(x10691)),f12(f23(x10691)),x10691)
% 0.83/1.00 [362]~P5(x3621)+E(f16(f12(f23(x3621)),x3622,x3621),f12(x3621))
% 0.83/1.00 [363]~P49(x3631)+E(f14(f12(f23(x3631)),x3632,x3631),f12(x3631))
% 0.83/1.00 [364]~P43(x3641)+E(f14(f12(f23(x3641)),x3642,x3641),f12(x3641))
% 0.83/1.00 [369]~P49(x3692)+E(f19(x3691,f12(f23(x3692)),x3692),f12(f23(x3692)))
% 0.83/1.00 [370]~P43(x3702)+E(f19(x3701,f12(f23(x3702)),x3702),f12(f23(x3702)))
% 0.83/1.00 [407]~P12(x4071)+E(f8(f13(f9(x4071),x4071),x4072,x4071),f13(x4072,x4071))
% 0.83/1.00 [622]~P39(x6222)+E(f11(x6221,x6221,x6222),f8(f11(f9(x6222),f9(x6222),x6222),x6221,x6222))
% 0.83/1.00 [413]~P3(x4133)+E(f11(x4131,x4132,x4133),f11(x4132,x4131,x4133))
% 0.83/1.00 [415]~P39(x4153)+E(f11(x4151,x4152,x4153),f11(x4152,x4151,x4153))
% 0.83/1.00 [417]~P39(x4173)+E(f8(x4171,x4172,x4173),f8(x4172,x4171,x4173))
% 0.83/1.00 [468]~P39(x4683)+P9(x4681,f8(x4682,x4681,x4683),x4683)
% 0.83/1.00 [469]~P39(x4693)+P9(x4691,f8(x4691,x4692,x4693),x4693)
% 0.83/1.00 [470]~P47(x4703)+P9(x4701,f8(x4701,x4702,x4703),x4703)
% 0.83/1.00 [438]~P46(x4383)+E(f8(x4381,f2(x4382,x4383),x4383),f3(x4381,x4382,x4383))
% 0.83/1.00 [440]~P4(x4403)+E(f11(x4401,f13(x4402,x4403),x4403),f10(x4401,x4402,x4403))
% 0.83/1.00 [441]~P20(x4413)+E(f11(x4411,f13(x4412,x4413),x4413),f10(x4411,x4412,x4413))
% 0.83/1.00 [442]~P12(x4423)+E(f11(x4421,f13(x4422,x4423),x4423),f10(x4421,x4422,x4423))
% 0.83/1.00 [443]~P20(x4433)+E(f10(x4431,f13(x4432,x4433),x4433),f11(x4431,x4432,x4433))
% 0.83/1.00 [464]~P59(x4642)+E(f8(f13(x4641,x4642),x4643,x4642),f8(x4641,f13(x4643,x4642),x4642))
% 0.83/1.01 [465]~P59(x4652)+E(f8(f13(x4651,x4652),f13(x4653,x4652),x4652),f8(x4651,x4653,x4652))
% 0.83/1.01 [471]~P20(x4713)+E(f11(f10(x4711,x4712,x4713),x4712,x4713),x4711)
% 0.83/1.01 [472]~P20(x4723)+E(f10(f11(x4721,x4722,x4723),x4722,x4723),x4721)
% 0.83/1.01 [473]~P5(x4733)+E(f16(f15(x4731,x4732,x4733),x4732,x4733),x4731)
% 0.83/1.01 [474]~P6(x4743)+E(f5(f8(x4741,x4742,x4743),x4742,x4743),f12(x4743))
% 0.83/1.01 [475]~P6(x4753)+E(f5(f8(x4751,x4752,x4753),x4751,x4753),f12(x4753))
% 0.83/1.01 [476]~P6(x4763)+E(f6(f5(x4761,x4762,x4763),x4762,x4763),f12(x4763))
% 0.83/1.01 [513]~P4(x5133)+E(f13(f10(x5131,x5132,x5133),x5133),f10(x5132,x5131,x5133))
% 0.83/1.01 [543]~P4(x5432)+E(f11(f13(x5431,x5432),f11(x5433,x5431,x5432),x5432),x5433)
% 0.83/1.01 [544]~P20(x5442)+E(f11(f13(x5441,x5442),f11(x5441,x5443,x5442),x5442),x5443)
% 0.83/1.01 [563]~P59(x5633)+E(f8(x5631,f13(x5632,x5633),x5633),f13(f8(x5631,x5632,x5633),x5633))
% 0.83/1.01 [564]~P46(x5642)+E(f3(f13(x5641,x5642),x5643,x5642),f13(f3(x5641,x5643,x5642),x5642))
% 0.83/1.01 [565]~P59(x5652)+E(f8(f13(x5651,x5652),x5653,x5652),f13(f8(x5651,x5653,x5652),x5652))
% 0.83/1.01 [566]~P56(x5662)+E(f20(f7(x5661,x5662),x5663,x5662),f7(f20(x5661,x5663,x5662),x5662))
% 0.83/1.01 [568]~P31(x5683)+E(f8(x5681,f13(x5682,x5683),x5683),f13(f8(x5681,x5682,x5683),x5683))
% 0.83/1.01 [569]~P30(x5692)+E(f3(f13(x5691,x5692),x5693,x5692),f13(f3(x5691,x5693,x5692),x5692))
% 0.83/1.01 [571]~P31(x5712)+E(f8(f13(x5711,x5712),x5713,x5712),f13(f8(x5711,x5713,x5712),x5712))
% 0.83/1.01 [597]~P17(x5973)+E(f8(x5971,f8(x5971,x5972,x5973),x5973),f8(x5971,x5972,x5973))
% 0.83/1.01 [598]~P6(x5983)+E(f5(f11(x5981,x5982,x5983),x5982,x5983),f5(x5981,x5982,x5983))
% 0.83/1.01 [599]~P6(x5993)+E(f5(f11(x5991,x5992,x5993),x5991,x5993),f5(x5992,x5991,x5993))
% 0.83/1.01 [600]~P6(x6003)+E(f5(f5(x6001,x6002,x6003),x6002,x6003),f5(x6001,x6002,x6003))
% 0.83/1.01 [601]~P56(x6011)+P8(f12(x6011),f20(f7(x6012,x6011),x6013,x6011),x6011)
% 0.83/1.01 [604]~P20(x6042)+E(f11(f13(x6041,x6042),f13(x6043,x6042),x6042),f13(f11(x6043,x6041,x6042),x6042))
% 0.83/1.01 [605]~P4(x6052)+E(f11(f13(x6051,x6052),f13(x6053,x6052),x6052),f13(f11(x6051,x6053,x6052),x6052))
% 0.83/1.01 [606]~P56(x6062)+E(f8(f7(x6061,x6062),f7(x6063,x6062),x6062),f7(f8(x6061,x6063,x6062),x6062))
% 0.83/1.01 [607]~P4(x6072)+E(f10(f13(x6071,x6072),f13(x6073,x6072),x6072),f13(f10(x6071,x6073,x6072),x6072))
% 0.83/1.01 [623]~P27(x6233)+E(f7(f10(x6231,x6232,x6233),x6233),f7(f10(x6232,x6231,x6233),x6233))
% 0.83/1.01 [664]~P49(x6642)+P9(f8(x6641,f12(x6642),x6642),f8(x6643,f12(x6642),x6642),x6642)
% 0.83/1.01 [665]~P49(x6651)+P9(f8(f12(x6651),x6652,x6651),f8(f12(x6651),x6653,x6651),x6651)
% 0.83/1.01 [703]~P26(x7033)+E(f8(f20(x7031,x7032,x7033),x7031,x7033),f8(x7031,f20(x7031,x7032,x7033),x7033))
% 0.83/1.01 [847]~P68(x8471)+E(f8(f20(f13(f9(x8471),x8471),x8472,x8471),f20(x8473,x8472,x8471),x8471),f20(f13(x8473,x8471),x8472,x8471))
% 0.83/1.01 [921]~P6(x9213)+E(f11(f8(x9211,f6(x9212,x9211,x9213),x9213),f5(x9212,x9211,x9213),x9213),x9212)
% 0.83/1.01 [922]~P6(x9223)+E(f11(f8(f6(x9221,x9222,x9223),x9222,x9223),f5(x9221,x9222,x9223),x9223),x9221)
% 0.83/1.01 [924]~P27(x9243)+P8(f7(f11(x9241,x9242,x9243),x9243),f11(f7(x9241,x9243),f7(x9242,x9243),x9243),x9243)
% 0.83/1.01 [925]~P27(x9253)+P8(f7(f10(x9251,x9252,x9253),x9253),f11(f7(x9251,x9253),f7(x9252,x9253),x9253),x9253)
% 0.83/1.01 [926]~P53(x9263)+P8(f7(f8(x9261,x9262,x9263),x9263),f8(f7(x9261,x9263),f7(x9262,x9263),x9263),x9263)
% 0.83/1.01 [927]~P27(x9272)+P8(f10(f7(x9271,x9272),f7(x9273,x9272),x9272),f7(f10(x9271,x9273,x9272),x9272),x9272)
% 0.83/1.01 [1002]~P58(x10021)+P8(f12(x10021),f11(f8(x10022,x10022,x10021),f8(x10023,x10023,x10021),x10021),x10021)
% 0.83/1.01 [1056]~P58(x10561)+~P10(f11(f8(x10562,x10562,x10561),f8(x10563,x10563,x10561),x10561),f12(x10561),x10561)
% 0.83/1.01 [1070]~P46(x10703)+P11(x10701,x10702,f6(x10701,x10702,f23(x10703)),f5(x10701,x10702,f23(x10703)),x10703)
% 0.83/1.01 [596]~P20(x5962)+E(f11(x5961,f11(f13(x5961,x5962),x5963,x5962),x5962),x5963)
% 0.83/1.01 [666]~P56(x6662)+E(f7(f20(f13(x6661,x6662),x6663,x6662),x6662),f7(f20(x6661,x6663,x6662),x6662))
% 0.83/1.01 [672]~P6(x6721)+E(f6(f8(f12(x6721),x6722,x6721),f8(f12(x6721),x6723,x6721),x6721),f12(x6721))
% 0.83/1.01 [725]~P27(x7252)+E(f7(f11(f7(x7251,x7252),f7(x7253,x7252),x7252),x7252),f11(f7(x7251,x7252),f7(x7253,x7252),x7252))
% 0.83/1.01 [733]~P39(x7333)+E(f11(x7331,f8(x7332,x7331,x7333),x7333),f8(f11(x7332,f9(x7333),x7333),x7331,x7333))
% 0.83/1.01 [734]~P39(x7343)+E(f11(f8(x7341,x7342,x7343),x7342,x7343),f8(f11(x7341,f9(x7343),x7343),x7342,x7343))
% 0.83/1.01 [808]~P7(x8083)+E(f5(f13(f5(x8081,x8082,x8083),x8083),x8082,x8083),f5(f13(x8081,x8083),x8082,x8083))
% 0.83/1.01 [920]~P6(x9203)+E(f11(f5(x9201,x9202,x9203),f8(f6(x9201,x9202,x9203),x9202,x9203),x9203),x9201)
% 0.83/1.01 [1036]~P27(x10362)+P8(f7(f10(f7(x10361,x10362),f7(x10363,x10362),x10362),x10362),f7(f10(x10361,x10363,x10362),x10362),x10362)
% 0.83/1.01 [690]~P3(x6904)+E(f11(x6901,f11(x6902,x6903,x6904),x6904),f11(x6902,f11(x6901,x6903,x6904),x6904))
% 0.83/1.01 [691]~P4(x6914)+E(f11(x6911,f11(x6912,x6913,x6914),x6914),f11(x6912,f11(x6911,x6913,x6914),x6914))
% 0.83/1.01 [692]~P39(x6924)+E(f11(x6921,f11(x6922,x6923,x6924),x6924),f11(x6922,f11(x6921,x6923,x6924),x6924))
% 0.83/1.01 [693]~P39(x6934)+E(f8(x6931,f8(x6932,x6933,x6934),x6934),f8(x6932,f8(x6931,x6933,x6934),x6934))
% 0.83/1.01 [698]~P43(x6983)+E(f15(f8(x6981,x6982,x6983),x6984,x6983),f19(x6981,f15(x6982,x6984,x6983),x6983))
% 0.83/1.01 [699]~P43(x6993)+E(f19(f8(x6991,x6992,x6993),x6994,x6993),f19(x6991,f19(x6992,x6994,x6993),x6993))
% 0.83/1.01 [700]~P3(x7003)+E(f11(f11(x7001,x7002,x7003),x7004,x7003),f11(x7001,f11(x7002,x7004,x7003),x7003))
% 0.83/1.01 [701]~P39(x7013)+E(f11(f11(x7011,x7012,x7013),x7014,x7013),f11(x7011,f11(x7012,x7014,x7013),x7013))
% 0.83/1.01 [702]~P14(x7023)+E(f11(f11(x7021,x7022,x7023),x7024,x7023),f11(x7021,f11(x7022,x7024,x7023),x7023))
% 0.83/1.01 [704]~P39(x7043)+E(f8(f8(x7041,x7042,x7043),x7044,x7043),f8(x7041,f8(x7042,x7044,x7043),x7043))
% 0.83/1.01 [705]~P16(x7053)+E(f8(f8(x7051,x7052,x7053),x7054,x7053),f8(x7051,f8(x7052,x7054,x7053),x7053))
% 0.83/1.01 [706]~P43(x7063)+E(f16(f19(x7061,x7062,x7063),x7064,x7063),f8(x7061,f16(x7062,x7064,x7063),x7063))
% 0.83/1.01 [707]~P39(x7073)+E(f14(f15(x7071,x7072,x7073),x7074,x7073),f8(x7071,f20(x7074,x7072,x7073),x7073))
% 0.83/1.01 [708]~P43(x7083)+E(f14(f19(x7081,x7082,x7083),x7084,x7083),f8(x7081,f14(x7082,x7084,x7083),x7083))
% 0.83/1.01 [709]~P39(x7093)+E(f11(f11(x7091,x7092,x7093),x7094,x7093),f11(f11(x7091,x7094,x7093),x7092,x7093))
% 0.83/1.01 [710]~P39(x7103)+E(f8(f8(x7101,x7102,x7103),x7104,x7103),f8(f8(x7101,x7104,x7103),x7102,x7103))
% 0.83/1.01 [763]~P46(x7633)+E(f6(f6(x7631,x7632,f23(x7633)),x7634,f23(x7633)),f6(x7631,f8(x7632,x7634,f23(x7633)),f23(x7633)))
% 0.83/1.01 [851]~P31(x8513)+E(f11(f8(x8511,x8512,x8513),f8(x8511,x8514,x8513),x8513),f8(x8511,f11(x8512,x8514,x8513),x8513))
% 0.83/1.01 [852]~P39(x8523)+E(f11(f8(x8521,x8522,x8523),f8(x8521,x8524,x8523),x8523),f8(x8521,f11(x8522,x8524,x8523),x8523))
% 0.83/1.01 [854]~P31(x8543)+E(f10(f8(x8541,x8542,x8543),f8(x8541,x8544,x8543),x8543),f8(x8541,f10(x8542,x8544,x8543),x8543))
% 0.83/1.01 [855]~P43(x8553)+E(f18(f8(x8551,x8552,x8553),f19(x8551,x8554,x8553),x8553),f19(x8551,f18(x8552,x8554,x8553),x8553))
% 0.83/1.01 [856]~P46(x8563)+E(f11(f3(x8561,x8562,x8563),f3(x8564,x8562,x8563),x8563),f3(f11(x8561,x8564,x8563),x8562,x8563))
% 0.83/1.01 [857]~P30(x8573)+E(f11(f3(x8571,x8572,x8573),f3(x8574,x8572,x8573),x8573),f3(f11(x8571,x8574,x8573),x8572,x8573))
% 0.83/1.01 [858]~P46(x8583)+E(f10(f3(x8581,x8582,x8583),f3(x8584,x8582,x8583),x8583),f3(f10(x8581,x8584,x8583),x8582,x8583))
% 0.83/1.01 [859]~P30(x8593)+E(f10(f3(x8591,x8592,x8593),f3(x8594,x8592,x8593),x8593),f3(f10(x8591,x8594,x8593),x8592,x8593))
% 0.83/1.01 [860]~P39(x8603)+E(f8(f20(x8601,x8602,x8603),f20(x8604,x8602,x8603),x8603),f20(f8(x8601,x8604,x8603),x8602,x8603))
% 0.83/1.01 [861]~P21(x8613)+E(f8(f20(x8611,x8612,x8613),f20(x8614,x8612,x8613),x8613),f20(f8(x8611,x8614,x8613),x8612,x8613))
% 0.83/1.01 [863]~P31(x8633)+E(f11(f8(x8631,x8632,x8633),f8(x8634,x8632,x8633),x8633),f8(f11(x8631,x8634,x8633),x8632,x8633))
% 0.83/1.01 [865]~P44(x8653)+E(f11(f8(x8651,x8652,x8653),f8(x8654,x8652,x8653),x8653),f8(f11(x8651,x8654,x8653),x8652,x8653))
% 0.83/1.01 [867]~P31(x8673)+E(f10(f8(x8671,x8672,x8673),f8(x8674,x8672,x8673),x8673),f8(f10(x8671,x8674,x8673),x8672,x8673))
% 0.83/1.01 [868]~P6(x8683)+E(f5(f8(x8681,x8682,x8683),f8(x8681,x8684,x8683),x8683),f8(x8681,f5(x8682,x8684,x8683),x8683))
% 0.83/1.01 [869]~P39(x8693)+E(f11(f8(x8691,x8692,x8693),f8(x8694,x8692,x8693),x8693),f8(f11(x8691,x8694,x8693),x8692,x8693))
% 0.83/1.01 [870]~P6(x8703)+E(f5(f8(x8701,x8702,x8703),f8(x8704,x8702,x8703),x8703),f8(f5(x8701,x8704,x8703),x8702,x8703))
% 0.83/1.01 [737]~P43(x7374)+E(f19(x7371,f8(x7372,x7373,f23(x7374)),x7374),f8(x7372,f19(x7371,x7373,x7374),f23(x7374)))
% 0.83/1.01 [738]~P46(x7383)+E(f5(f19(x7381,x7382,x7383),x7384,f23(x7383)),f19(x7381,f5(x7382,x7384,f23(x7383)),x7383))
% 0.83/1.01 [739]~P43(x7394)+E(f19(x7391,f8(x7392,x7393,f23(x7394)),x7394),f8(f19(x7391,x7392,x7394),x7393,f23(x7394)))
% 0.83/1.01 [740]~P46(x7403)+E(f6(f19(x7401,x7402,x7403),x7404,f23(x7403)),f19(x7401,f6(x7402,x7404,f23(x7403)),x7403))
% 0.83/1.01 [848]~P6(x8484)+E(f5(f11(x8481,f8(x8482,x8483,x8484),x8484),x8483,x8484),f5(x8481,x8483,x8484))
% 0.83/1.01 [849]~P6(x8494)+E(f5(f11(x8491,f8(x8492,x8493,x8494),x8494),x8492,x8494),f5(x8491,x8492,x8494))
% 0.83/1.01 [880]~P43(x8803)+E(f8(f14(x8801,x8802,x8803),f14(x8804,x8802,x8803),x8803),f14(f8(x8801,x8804,f23(x8803)),x8802,x8803))
% 0.83/1.01 [945]~P43(x9454)+E(f11(x9451,f8(x9452,f14(x9453,x9452,x9454),x9454),x9454),f14(f18(x9451,x9453,x9454),x9452,x9454))
% 0.83/1.01 [947]~P7(x9474)+E(f5(f10(x9471,f5(x9472,x9473,x9474),x9474),x9473,x9474),f5(f10(x9471,x9472,x9474),x9473,x9474))
% 0.83/1.01 [948]~P6(x9484)+E(f5(f8(x9481,f5(x9482,x9483,x9484),x9484),x9483,x9484),f5(f8(x9481,x9482,x9484),x9483,x9484))
% 0.83/1.01 [950]~P7(x9503)+E(f5(f10(f5(x9501,x9502,x9503),x9504,x9503),x9502,x9503),f5(f10(x9501,x9504,x9503),x9502,x9503))
% 0.83/1.01 [952]~P6(x9524)+E(f5(f11(x9521,f5(x9522,x9523,x9524),x9524),x9523,x9524),f5(f11(x9521,x9522,x9524),x9523,x9524))
% 0.83/1.01 [953]~P6(x9533)+E(f5(f11(f5(x9531,x9532,x9533),x9534,x9533),x9532,x9533),f5(f11(x9531,x9534,x9533),x9532,x9533))
% 0.83/1.01 [954]~P6(x9543)+E(f5(f8(f5(x9541,x9542,x9543),x9544,x9543),x9542,x9543),f5(f8(x9541,x9544,x9543),x9542,x9543))
% 0.83/1.01 [1027]~P40(x10271)+E(f14(f8(f15(f9(x10271),x10272,x10271),x10273,f23(x10271)),x10274,x10271),f8(f20(x10274,x10272,x10271),f14(x10273,x10274,x10271),x10271))
% 0.83/1.01 [1037]~P6(x10373)+E(f5(f11(f5(x10371,x10372,x10373),f5(x10374,x10372,x10373),x10373),x10372,x10373),f5(f11(x10371,x10374,x10373),x10372,x10373))
% 0.83/1.01 [1038]~P7(x10383)+E(f5(f10(f5(x10381,x10382,x10383),f5(x10384,x10382,x10383),x10383),x10382,x10383),f5(f10(x10381,x10384,x10383),x10382,x10383))
% 0.83/1.01 [1039]~P6(x10393)+E(f5(f8(f5(x10391,x10392,x10393),f5(x10394,x10392,x10393),x10393),x10392,x10393),f5(f8(x10391,x10394,x10393),x10392,x10393))
% 0.83/1.01 [1062]~P6(x10623)+E(f11(f11(f8(x10621,f6(x10622,x10621,x10623),x10623),f5(x10622,x10621,x10623),x10623),x10624,x10623),f11(x10622,x10624,x10623))
% 0.83/1.01 [1063]~P6(x10633)+E(f11(f11(f8(f6(x10631,x10632,x10633),x10632,x10633),f5(x10631,x10632,x10633),x10633),x10634,x10633),f11(x10631,x10634,x10633))
% 0.83/1.01 [955]~P39(x9553)+E(f11(f11(x9551,x9552,x9553),f11(x9554,x9555,x9553),x9553),f11(f11(x9551,x9554,x9553),f11(x9552,x9555,x9553),x9553))
% 0.83/1.01 [956]~P4(x9563)+E(f11(f10(x9561,x9562,x9563),f10(x9564,x9565,x9563),x9563),f10(f11(x9561,x9564,x9563),f11(x9562,x9565,x9563),x9563))
% 0.83/1.01 [957]~P39(x9573)+E(f8(f8(x9571,x9572,x9573),f8(x9574,x9575,x9573),x9573),f8(f8(x9571,x9574,x9573),f8(x9572,x9575,x9573),x9573))
% 0.83/1.01 [1052]~P69(x10523)+E(f11(f8(x10521,x10522,x10523),f11(f8(x10524,x10522,x10523),x10525,x10523),x10523),f11(f8(f11(x10521,x10524,x10523),x10522,x10523),x10525,x10523))
% 0.83/1.01 [1089]~P27(x10893)+P8(f7(f10(f11(x10891,x10892,x10893),f11(x10894,x10895,x10893),x10893),x10893),f11(f7(f10(x10891,x10894,x10893),x10893),f7(f10(x10892,x10895,x10893),x10893),x10893),x10893)
% 0.83/1.01 [1090]~P31(x10903)+E(f11(f11(f8(f10(x10901,x10902,x10903),f10(x10904,x10905,x10903),x10903),f8(f10(x10901,x10902,x10903),x10905,x10903),x10903),f8(x10902,f10(x10904,x10905,x10903),x10903),x10903),f10(f8(x10901,x10904,x10903),f8(x10902,x10905,x10903),x10903))
% 0.83/1.01 [1065]~P59(x10653)+E(f11(f8(x10651,x10652,x10653),f11(f8(f10(x10654,x10651,x10653),x10652,x10653),x10655,x10653),x10653),f11(f8(x10654,x10652,x10653),x10655,x10653))
% 0.83/1.01 [1088]~P38(x10884)+E(f11(f8(x10881,f3(f10(x10882,x10883,x10884),x10885,x10884),x10884),f8(f3(f10(x10881,x10886,x10884),x10885,x10884),x10883,x10884),x10884),f3(f10(f8(x10881,x10882,x10884),f8(x10886,x10883,x10884),x10884),x10885,x10884))
% 0.83/1.01 [277]~P1(x2771)+~P46(x2771)+E(f2(f9(x2771),x2771),f9(x2771))
% 0.83/1.01 [514]~P32(x5141)+~P8(f12(x5141),f12(x5141),x5141)+E(f11(f12(x5141),f12(x5141),x5141),f12(x5141))
% 0.83/1.01 [275]~P29(x2752)+~E(f13(x2751,x2752),x2751)+E(x2751,f12(x2752))
% 0.83/1.01 [278]~P20(x2782)+~E(f13(x2781,x2782),f12(x2782))+E(x2781,f12(x2782))
% 0.83/1.01 [279]~P48(x2792)+~E(f2(x2791,x2792),f12(x2792))+E(x2791,f12(x2792))
% 0.83/1.01 [280]~P27(x2802)+~E(f7(x2801,x2802),f12(x2802))+E(x2801,f12(x2802))
% 0.83/1.01 [281]~P20(x2811)+~E(f13(x2812,x2811),f12(x2811))+E(f12(x2811),x2812)
% 0.83/1.01 [326]~P46(x3262)+E(f3(x3261,x3261,x3262),f9(x3262))+E(x3261,f12(x3262))
% 0.83/1.01 [327]~P6(x3272)+E(f6(x3271,x3271,x3272),f9(x3272))+E(x3271,f12(x3272))
% 0.83/1.01 [346]~P49(x3462)+~P12(x3462)+E(f10(x3461,x3461,x3462),f12(x3462))
% 0.83/1.01 [361]~P42(x3612)+P10(x3611,f12(x3612),x3612)+E(f7(x3611,x3612),x3611)
% 0.83/1.01 [390]~P27(x3902)+P10(f12(x3902),f7(x3901,x3902),x3902)+E(x3901,f12(x3902))
% 0.83/1.01 [393]~P23(x3932)+~E(f11(x3931,x3931,x3932),f12(x3932))+E(x3931,f12(x3932))
% 0.83/1.01 [399]~P39(x3992)+~P9(f12(x3992),x3991,x3992)+E(x3991,f12(x3992))
% 0.83/1.01 [423]~P27(x4232)+~P8(f12(x4232),x4231,x4232)+E(f7(x4231,x4232),x4231)
% 0.83/1.01 [424]~P27(x4242)+~P10(f12(x4242),x4241,x4242)+E(f7(x4241,x4242),x4241)
% 0.83/1.01 [433]~P27(x4332)+~P8(x4331,f12(x4332),x4332)+E(f7(x4331,x4332),f13(x4331,x4332))
% 0.83/1.01 [434]~P27(x4342)+~P10(x4341,f12(x4342),x4342)+E(f7(x4341,x4342),f13(x4341,x4342))
% 0.83/1.01 [435]~P42(x4352)+~P10(x4351,f12(x4352),x4352)+E(f7(x4351,x4352),f13(x4351,x4352))
% 0.83/1.01 [450]~P27(x4502)+~P8(f7(x4501,x4502),f12(x4502),x4502)+E(x4501,f12(x4502))
% 0.83/1.01 [515]~P23(x5152)+~P8(x5151,f12(x5152),x5152)+P8(x5151,f13(x5151,x5152),x5152)
% 0.83/1.01 [516]~P29(x5162)+~P8(x5161,f12(x5162),x5162)+P8(x5161,f13(x5161,x5162),x5162)
% 0.83/1.01 [517]~P56(x5172)+~P10(x5171,f12(x5172),x5172)+P10(x5171,f13(x5171,x5172),x5172)
% 0.83/1.01 [518]~P23(x5182)+~P8(f12(x5182),x5181,x5182)+P8(f13(x5181,x5182),x5181,x5182)
% 0.83/1.01 [519]~P29(x5192)+~P8(f12(x5192),x5191,x5192)+P8(f13(x5191,x5192),x5191,x5192)
% 0.83/1.01 [530]~P28(x5301)+~P8(x5302,f12(x5301),x5301)+P8(f12(x5301),f13(x5302,x5301),x5301)
% 0.83/1.01 [531]~P28(x5311)+~P10(x5312,f12(x5311),x5311)+P10(f12(x5311),f13(x5312,x5311),x5311)
% 0.83/1.01 [532]~P57(x5321)+~P10(f12(x5321),x5322,x5321)+P10(f12(x5321),f2(x5322,x5321),x5321)
% 0.83/1.01 [533]~P57(x5332)+~P10(x5331,f12(x5332),x5332)+P10(f2(x5331,x5332),f12(x5332),x5332)
% 0.83/1.01 [534]~P28(x5342)+~P8(f12(x5342),x5341,x5342)+P8(f13(x5341,x5342),f12(x5342),x5342)
% 0.83/1.01 [535]~P28(x5352)+~P10(f12(x5352),x5351,x5352)+P10(f13(x5351,x5352),f12(x5352),x5352)
% 0.83/1.01 [538]~P23(x5382)+~P8(x5381,f13(x5381,x5382),x5382)+P8(x5381,f12(x5382),x5382)
% 0.83/1.01 [539]~P29(x5392)+~P8(x5391,f13(x5391,x5392),x5392)+P8(x5391,f12(x5392),x5392)
% 0.83/1.01 [540]~P56(x5402)+~P10(x5401,f13(x5401,x5402),x5402)+P10(x5401,f12(x5402),x5402)
% 0.83/1.01 [541]~P23(x5411)+~P8(f13(x5412,x5411),x5412,x5411)+P8(f12(x5411),x5412,x5411)
% 0.83/1.01 [542]~P29(x5421)+~P8(f13(x5422,x5421),x5422,x5421)+P8(f12(x5421),x5422,x5421)
% 0.83/1.01 [558]~P28(x5582)+~P8(f12(x5582),f13(x5581,x5582),x5582)+P8(x5581,f12(x5582),x5582)
% 0.83/1.01 [559]~P28(x5592)+~P10(f12(x5592),f13(x5591,x5592),x5592)+P10(x5591,f12(x5592),x5592)
% 0.83/1.01 [560]~P28(x5601)+~P8(f13(x5602,x5601),f12(x5601),x5601)+P8(f12(x5601),x5602,x5601)
% 0.83/1.01 [561]~P28(x5611)+~P10(f13(x5612,x5611),f12(x5611),x5611)+P10(f12(x5611),x5612,x5611)
% 0.83/1.01 [631]~P23(x6311)+~P8(f12(x6311),x6312,x6311)+P8(f12(x6311),f11(x6312,x6312,x6311),x6311)
% 0.83/1.01 [635]~P23(x6351)+~P10(f12(x6351),x6352,x6351)+P10(f12(x6351),f11(x6352,x6352,x6351),x6351)
% 0.83/1.01 [637]~P23(x6372)+~P8(x6371,f12(x6372),x6372)+P8(f11(x6371,x6371,x6372),f12(x6372),x6372)
% 0.83/1.01 [638]~P56(x6382)+~P10(x6381,f12(x6382),x6382)+P10(f11(x6381,x6381,x6382),f12(x6382),x6382)
% 0.83/1.01 [639]~P23(x6392)+~P10(x6391,f12(x6392),x6392)+P10(f11(x6391,x6391,x6392),f12(x6392),x6392)
% 0.83/1.01 [712]~P23(x7122)+~P8(f11(x7121,x7121,x7122),f12(x7122),x7122)+P8(x7121,f12(x7122),x7122)
% 0.83/1.01 [713]~P56(x7132)+~P10(f11(x7131,x7131,x7132),f12(x7132),x7132)+P10(x7131,f12(x7132),x7132)
% 0.83/1.01 [715]~P23(x7152)+~P10(f11(x7151,x7151,x7152),f12(x7152),x7152)+P10(x7151,f12(x7152),x7152)
% 0.83/1.01 [716]~P23(x7161)+~P8(f12(x7161),f11(x7162,x7162,x7161),x7161)+P8(f12(x7161),x7162,x7161)
% 0.83/1.01 [717]~P23(x7171)+~P10(f12(x7171),f11(x7172,x7172,x7171),x7171)+P10(f12(x7171),x7172,x7171)
% 0.83/1.01 [289]~P48(x2892)+E(x2891,f12(x2892))+E(f2(f2(x2891,x2892),x2892),x2891)
% 0.83/1.01 [292]~P1(x2922)+~P48(x2922)+E(f2(f2(x2921,x2922),x2922),x2921)
% 0.83/1.01 [350]~P49(x3502)+~P12(x3502)+E(f11(x3501,f12(x3502),x3502),x3501)
% 0.83/1.01 [358]~P1(x3582)+~P46(x3582)+E(f3(x3581,f12(x3582),x3582),f12(x3582))
% 0.83/1.01 [376]~P48(x3762)+E(x3761,f12(x3762))+E(f13(f2(x3761,x3762),x3762),f2(f13(x3761,x3762),x3762))
% 0.83/1.01 [377]~P57(x3772)+E(x3771,f12(x3772))+E(f7(f2(x3771,x3772),x3772),f2(f7(x3771,x3772),x3772))
% 0.83/1.01 [382]~P1(x3822)+~P48(x3822)+E(f13(f2(x3821,x3822),x3822),f2(f13(x3821,x3822),x3822))
% 0.83/1.01 [383]~P57(x3832)+~P1(x3832)+E(f7(f2(x3831,x3832),x3832),f2(f7(x3831,x3832),x3832))
% 0.83/1.01 [387]~P48(x3872)+E(x3871,f12(x3872))+E(f8(x3871,f2(x3871,x3872),x3872),f9(x3872))
% 0.83/1.01 [388]~P46(x3882)+E(x3881,f12(x3882))+E(f8(f2(x3881,x3882),x3881,x3882),f9(x3882))
% 0.83/1.01 [389]~P48(x3892)+E(x3891,f12(x3892))+E(f8(f2(x3891,x3892),x3891,x3892),f9(x3892))
% 0.83/1.01 [460]~P5(x4602)+~E(f16(x4601,f17(x4601,x4602),x4602),f12(x4602))+E(x4601,f12(f23(x4602)))
% 0.83/1.01 [537]~P1(x5371)+~P46(x5371)+E(f3(f8(f12(x5371),x5372,x5371),x5372,x5371),f12(x5371))
% 0.83/1.01 [418]P8(x4182,x4181,x4183)+~P34(x4183)+P8(x4181,x4182,x4183)
% 0.83/1.01 [421]P10(x4212,x4211,x4213)+~P34(x4213)+P8(x4211,x4212,x4213)
% 0.83/1.01 [448]~P35(x4483)+~P10(x4481,x4482,x4483)+P8(x4481,x4482,x4483)
% 0.83/1.01 [449]~P36(x4493)+~P10(x4491,x4492,x4493)+P8(x4491,x4492,x4493)
% 0.83/1.01 [490]~P10(x4903,x4902,x4901)+~P34(x4901)+~P8(x4902,x4903,x4901)
% 0.83/1.01 [492]~P10(x4923,x4922,x4921)+~P34(x4921)+~P10(x4922,x4923,x4921)
% 0.83/1.01 [493]~P10(x4933,x4932,x4931)+~P35(x4931)+~P8(x4932,x4933,x4931)
% 0.83/1.01 [495]~P10(x4953,x4952,x4951)+~P35(x4951)+~P10(x4952,x4953,x4951)
% 0.83/1.01 [496]~P10(x4963,x4962,x4961)+~P36(x4961)+~P10(x4962,x4963,x4961)
% 0.83/1.01 [290]~P20(x2903)+E(x2901,x2902)+~E(f13(x2901,x2903),f13(x2902,x2903))
% 0.83/1.01 [291]~P13(x2913)+E(x2911,x2912)+~E(f13(x2911,x2913),f13(x2912,x2913))
% 0.83/1.01 [391]~P4(x3913)+E(x3911,x3912)+~E(f10(x3911,x3912,x3913),f12(x3913))
% 0.83/1.01 [392]~P20(x3923)+E(x3921,x3922)+~E(f10(x3921,x3922,x3923),f12(x3923))
% 0.83/1.01 [394]~P67(x3942)+~E(f20(x3941,x3943,x3942),f12(x3942))+E(x3941,f12(x3942))
% 0.83/1.01 [396]~P56(x3963)+P9(x3961,x3962,x3963)+~E(f7(x3961,x3963),f7(x3962,x3963))
% 0.83/1.01 [410]~P20(x4103)+~E(f11(x4101,x4102,x4103),f12(x4103))+E(x4101,f13(x4102,x4103))
% 0.83/1.01 [411]~P20(x4112)+~E(f11(x4111,x4113,x4112),f12(x4112))+E(f13(x4111,x4112),x4113)
% 0.83/1.01 [412]~P48(x4122)+~E(f8(x4121,x4123,x4122),f9(x4122))+E(f2(x4121,x4122),x4123)
% 0.83/1.01 [461]~P6(x4613)+~P9(x4612,x4611,x4613)+E(f5(x4611,x4612,x4613),f12(x4613))
% 0.83/1.01 [462]~P6(x4623)+P9(x4621,x4622,x4623)+~E(f5(x4622,x4621,x4623),f12(x4623))
% 0.83/1.01 [478]~P40(x4783)+~P9(x4781,x4782,x4783)+P9(x4781,f13(x4782,x4783),x4783)
% 0.83/1.01 [479]~P56(x4793)+~P9(x4791,x4792,x4793)+P9(x4791,f7(x4792,x4793),x4793)
% 0.83/1.01 [480]~P40(x4802)+~P9(x4801,x4803,x4802)+P9(f13(x4801,x4802),x4803,x4802)
% 0.83/1.01 [481]~P56(x4812)+~P9(x4811,x4813,x4812)+P9(f7(x4811,x4812),x4813,x4812)
% 0.83/1.01 [522]~P56(x5223)+P9(x5221,x5222,x5223)+~P9(x5221,f7(x5222,x5223),x5223)
% 0.83/1.01 [523]~P40(x5233)+P9(x5231,x5232,x5233)+~P9(x5231,f13(x5232,x5233),x5233)
% 0.83/1.01 [524]~P27(x5243)+P8(x5241,x5242,x5243)+~P8(f7(x5241,x5243),x5242,x5243)
% 0.83/1.01 [525]~P56(x5253)+P10(x5251,x5252,x5253)+~P10(f7(x5251,x5253),x5252,x5253)
% 0.83/1.01 [526]~P56(x5263)+P9(x5261,x5262,x5263)+~P9(f7(x5261,x5263),x5262,x5263)
% 0.83/1.01 [527]~P40(x5273)+P9(x5271,x5272,x5273)+~P9(f13(x5271,x5273),x5272,x5273)
% 0.83/1.01 [555]~P28(x5552)+~P8(x5553,x5551,x5552)+P8(f13(x5551,x5552),f13(x5553,x5552),x5552)
% 0.83/1.01 [556]~P28(x5562)+~P10(x5563,x5561,x5562)+P10(f13(x5561,x5562),f13(x5563,x5562),x5562)
% 0.83/1.01 [585]~P28(x5853)+~P8(x5852,f13(x5851,x5853),x5853)+P8(x5851,f13(x5852,x5853),x5853)
% 0.83/1.01 [587]~P28(x5873)+~P10(x5872,f13(x5871,x5873),x5873)+P10(x5871,f13(x5872,x5873),x5873)
% 0.83/1.01 [588]~P27(x5882)+~P8(f7(x5881,x5882),x5883,x5882)+P8(f13(x5881,x5882),x5883,x5882)
% 0.83/1.01 [590]~P28(x5902)+~P8(f13(x5903,x5902),x5901,x5902)+P8(f13(x5901,x5902),x5903,x5902)
% 0.83/1.01 [591]~P56(x5912)+~P10(f7(x5911,x5912),x5913,x5912)+P10(f13(x5911,x5912),x5913,x5912)
% 0.83/1.01 [593]~P28(x5932)+~P10(f13(x5933,x5932),x5931,x5932)+P10(f13(x5931,x5932),x5933,x5932)
% 0.83/1.01 [602]~P28(x6023)+P8(x6021,x6022,x6023)+~P8(f13(x6022,x6023),f13(x6021,x6023),x6023)
% 0.83/1.01 [603]~P28(x6033)+P10(x6031,x6032,x6033)+~P10(f13(x6032,x6033),f13(x6031,x6033),x6033)
% 0.83/1.01 [628]~P28(x6283)+~P8(x6281,x6282,x6283)+P8(f10(x6281,x6282,x6283),f12(x6283),x6283)
% 0.83/1.01 [629]~P28(x6293)+~P10(x6291,x6292,x6293)+P10(f10(x6291,x6292,x6293),f12(x6293),x6293)
% 0.83/1.01 [632]~P45(x6321)+~P8(f12(x6321),x6322,x6321)+P8(f12(x6321),f20(x6322,x6323,x6321),x6321)
% 0.83/1.01 [633]~P56(x6331)+~P8(f12(x6331),x6332,x6331)+P8(f12(x6331),f20(x6332,x6333,x6331),x6331)
% 0.83/1.01 [634]~P45(x6341)+~P8(f9(x6341),x6342,x6341)+P8(f9(x6341),f20(x6342,x6343,x6341),x6341)
% 0.83/1.01 [636]~P45(x6361)+~P10(f12(x6361),x6362,x6361)+P10(f12(x6361),f20(x6362,x6363,x6361),x6361)
% 0.83/1.01 [671]~P23(x6713)+~P8(x6711,f13(x6712,x6713),x6713)+P8(f11(x6711,x6712,x6713),f12(x6713),x6713)
% 0.83/1.01 [683]~P28(x6833)+P8(x6831,x6832,x6833)+~P8(f10(x6831,x6832,x6833),f12(x6833),x6833)
% 0.83/1.01 [684]~P28(x6843)+P10(x6841,x6842,x6843)+~P10(f10(x6841,x6842,x6843),f12(x6843),x6843)
% 0.83/1.01 [714]~P56(x7142)+~P10(f20(x7141,x7143,x7142),f12(x7142),x7142)+P10(x7141,f12(x7142),x7142)
% 0.83/1.01 [742]~P23(x7423)+~P8(f11(x7421,x7422,x7423),f12(x7423),x7423)+P8(x7421,f13(x7422,x7423),x7423)
% 0.83/1.01 [408]~P5(x4082)+E(x4081,f12(x4082))+~E(f18(x4081,x4083,x4082),f12(f23(x4082)))
% 0.83/1.01 [409]~P5(x4092)+E(x4091,f12(x4092))+~E(f15(x4091,x4093,x4092),f12(f23(x4092)))
% 0.83/1.01 [430]~P5(x4302)+~E(f18(x4303,x4301,x4302),f12(f23(x4302)))+E(x4301,f12(f23(x4302)))
% 0.83/1.01 [436]~P5(x4362)+E(x4361,f12(x4362))+E(f17(f15(x4361,x4363,x4362),x4362),x4363)
% 0.83/1.01 [447]~P49(x4472)+E(x4471,f12(x4472))+E(f17(f19(x4471,x4473,x4472),x4472),f17(x4473,x4472))
% 0.83/1.01 [477]~P46(x4772)+E(x4771,f12(x4772))+E(f3(f13(x4773,x4772),f13(x4771,x4772),x4772),f3(x4773,x4771,x4772))
% 0.83/1.01 [485]~P6(x4852)+E(x4851,f12(x4852))+E(f6(f8(x4853,x4851,x4852),x4851,x4852),x4853)
% 0.83/1.01 [486]~P46(x4862)+E(x4861,f12(x4862))+E(f3(f8(x4863,x4861,x4862),x4861,x4862),x4863)
% 0.83/1.01 [487]~P6(x4872)+E(x4871,f12(x4872))+E(f6(f8(x4871,x4873,x4872),x4871,x4872),x4873)
% 0.83/1.01 [488]~P1(x4882)+~P46(x4882)+E(f3(f13(x4881,x4882),f13(x4883,x4882),x4882),f3(x4881,x4883,x4882))
% 0.83/1.01 [528]~P1(x5283)+~P46(x5283)+E(f2(f3(x5281,x5282,x5283),x5283),f3(x5282,x5281,x5283))
% 0.83/1.01 [582]~P46(x5822)+E(x5821,f12(x5822))+E(f3(x5823,f13(x5821,x5822),x5822),f13(f3(x5823,x5821,x5822),x5822))
% 0.83/1.01 [583]~P48(x5832)+E(x5831,f12(x5832))+E(f20(f2(x5831,x5832),x5833,x5832),f2(f20(x5831,x5833,x5832),x5832))
% 0.83/1.01 [594]~P1(x5943)+~P46(x5943)+E(f3(x5941,f13(x5942,x5943),x5943),f13(f3(x5941,x5942,x5943),x5943))
% 0.83/1.01 [595]~P1(x5952)+~P48(x5952)+E(f20(f2(x5951,x5952),x5953,x5952),f2(f20(x5951,x5953,x5952),x5952))
% 0.83/1.01 [617]~P57(x6172)+E(x6171,f12(x6172))+E(f3(f7(x6173,x6172),f7(x6171,x6172),x6172),f7(f3(x6173,x6171,x6172),x6172))
% 0.83/1.01 [619]~P1(x6192)+~P46(x6192)+E(f8(f2(x6191,x6192),f2(x6193,x6192),x6192),f2(f8(x6191,x6193,x6192),x6192))
% 0.83/1.01 [620]~P57(x6202)+~P1(x6202)+E(f3(f7(x6201,x6202),f7(x6203,x6202),x6202),f7(f3(x6201,x6203,x6202),x6202))
% 0.83/1.01 [626]~P6(x6263)+~P9(x6261,x6262,x6263)+E(f8(x6261,f6(x6262,x6261,x6263),x6263),x6262)
% 0.83/1.01 [627]~P6(x6273)+~P9(x6272,x6271,x6273)+E(f8(f6(x6271,x6272,x6273),x6272,x6273),x6271)
% 0.83/1.01 [654]~P7(x6543)+~P9(x6542,x6541,x6543)+E(f6(x6541,f13(x6542,x6543),x6543),f13(f6(x6541,x6542,x6543),x6543))
% 0.83/1.01 [655]~P7(x6552)+~P9(x6553,x6551,x6552)+E(f6(f13(x6551,x6552),x6553,x6552),f13(f6(x6551,x6553,x6552),x6552))
% 0.83/1.01 [670]~P46(x6702)+~P9(f19(f12(x6702),x6703,x6702),x6701,f23(x6702))+E(x6701,f12(f23(x6702)))
% 0.83/1.01 [673]~P56(x6732)+~P8(f12(x6732),x6733,x6732)+E(f8(f7(x6731,x6732),x6733,x6732),f7(f8(x6731,x6733,x6732),x6732))
% 0.83/1.01 [678]~P46(x6783)+~P9(x6782,f12(f23(x6783)),f23(x6783))+P9(f19(x6781,x6782,x6783),f12(f23(x6783)),f23(x6783))
% 0.83/1.01 [727]~P6(x7272)+E(x7271,f12(x7272))+E(f6(f11(x7273,x7271,x7272),x7271,x7272),f11(f6(x7273,x7271,x7272),f9(x7272),x7272))
% 0.83/1.01 [728]~P6(x7282)+E(x7281,f12(x7282))+E(f6(f11(x7281,x7283,x7282),x7281,x7282),f11(f6(x7283,x7281,x7282),f9(x7282),x7282))
% 0.83/1.01 [871]~P58(x8712)+E(x8711,f12(x8712))+~E(f11(f8(x8713,x8713,x8712),f8(x8711,x8711,x8712),x8712),f12(x8712))
% 0.83/1.01 [872]~P58(x8722)+E(x8721,f12(x8722))+~E(f11(f8(x8721,x8721,x8722),f8(x8723,x8723,x8722),x8722),f12(x8722))
% 0.83/1.01 [916]~P45(x9161)+~P10(f9(x9161),x9162,x9161)+P10(f9(x9161),f8(x9162,f20(x9162,x9163,x9161),x9161),x9161)
% 0.83/1.01 [985]~P45(x9853)+~P10(f9(x9853),x9851,x9853)+P10(f20(x9851,x9852,x9853),f8(x9851,f20(x9851,x9852,x9853),x9853),x9853)
% 0.83/1.01 [1003]~P58(x10032)+E(x10031,f12(x10032))+P10(f12(x10032),f11(f8(x10033,x10033,x10032),f8(x10031,x10031,x10032),x10032),x10032)
% 0.83/1.01 [1004]~P58(x10042)+E(x10041,f12(x10042))+P10(f12(x10042),f11(f8(x10041,x10041,x10042),f8(x10043,x10043,x10042),x10042),x10042)
% 0.83/1.01 [1057]~P58(x10572)+E(x10571,f12(x10572))+~P8(f11(f8(x10573,x10573,x10572),f8(x10571,x10571,x10572),x10572),f12(x10572),x10572)
% 0.83/1.01 [1058]~P58(x10582)+E(x10581,f12(x10582))+~P8(f11(f8(x10581,x10581,x10582),f8(x10583,x10583,x10582),x10582),f12(x10582),x10582)
% 0.83/1.01 [743]~P1(x7431)+~P46(x7431)+E(f20(f3(f9(x7431),x7432,x7431),x7433,x7431),f3(f9(x7431),f20(x7432,x7433,x7431),x7431))
% 0.83/1.01 [1034]~P57(x10343)+~P10(x10341,x10342,x10343)+P10(x10341,f3(f11(x10341,x10342,x10343),f11(f9(x10343),f9(x10343),x10343),x10343),x10343)
% 0.83/1.01 [1035]~P57(x10353)+~P10(x10351,x10352,x10353)+P10(f3(f11(x10351,x10352,x10353),f11(f9(x10353),f9(x10353),x10353),x10353),x10352,x10353)
% 0.83/1.01 [1006]~P49(x10062)+~E(f14(x10063,f13(x10061,x10062),x10062),f12(x10062))+P9(f18(x10061,f18(f9(x10062),f12(f23(x10062)),x10062),x10062),x10063,f23(x10062))
% 0.83/1.01 [1007]~P49(x10072)+~E(f14(x10073,x10071,x10072),f12(x10072))+P9(f18(f13(x10071,x10072),f18(f9(x10072),f12(f23(x10072)),x10072),x10072),x10073,f23(x10072))
% 0.83/1.01 [1049]~P49(x10493)+E(f14(x10491,f13(x10492,x10493),x10493),f12(x10493))+~P9(f18(x10492,f18(f9(x10493),f12(f23(x10493)),x10493),x10493),x10491,f23(x10493))
% 0.83/1.01 [1055]~P49(x10553)+E(f14(x10551,x10552,x10553),f12(x10553))+~P9(f18(f13(x10552,x10553),f18(f9(x10553),f12(f23(x10553)),x10553),x10553),x10551,f23(x10553))
% 0.83/1.01 [498]~P15(x4984)+E(x4981,x4982)+~E(f11(x4983,x4981,x4984),f11(x4983,x4982,x4984))
% 0.83/1.01 [499]~P18(x4994)+E(x4991,x4992)+~E(f11(x4993,x4991,x4994),f11(x4993,x4992,x4994))
% 0.83/1.01 [500]~P4(x5004)+E(x5001,x5002)+~E(f10(x5003,x5003,x5004),f10(x5001,x5002,x5004))
% 0.83/1.01 [501]~P18(x5014)+E(x5011,x5012)+~E(f11(x5011,x5013,x5014),f11(x5012,x5013,x5014))
% 0.83/1.01 [503]~P5(x5034)+E(x5031,x5032)+~E(f15(x5031,x5033,x5034),f15(x5032,x5033,x5034))
% 0.83/1.01 [504]~P4(x5043)+E(x5041,x5042)+~E(f10(x5041,x5042,x5043),f10(x5044,x5044,x5043))
% 0.83/1.01 [624]~P39(x6244)+~P9(x6241,x6243,x6244)+P9(x6241,f8(x6242,x6243,x6244),x6244)
% 0.83/1.01 [625]~P39(x6254)+~P9(x6251,x6252,x6254)+P9(x6251,f8(x6252,x6253,x6254),x6254)
% 0.83/1.01 [630]~P39(x6304)+~P9(x6301,x6303,f23(x6304))+P9(x6301,f19(x6302,x6303,x6304),f23(x6304))
% 0.83/1.01 [676]~P39(x6763)+P9(x6761,x6762,x6763)+~P9(f8(x6764,x6761,x6763),x6762,x6763)
% 0.83/1.01 [677]~P39(x6773)+P9(x6771,x6772,x6773)+~P9(f8(x6771,x6774,x6773),x6772,x6773)
% 0.83/1.01 [711]~P39(x7113)+~P9(f19(x7114,x7111,x7113),x7112,f23(x7113))+P9(x7111,x7112,f23(x7113))
% 0.83/1.01 [752]~P2(x7523)+~P8(x7521,x7524,x7523)+P8(f11(x7521,x7522,x7523),f11(x7524,x7522,x7523),x7523)
% 0.83/1.01 [753]~P25(x7533)+~P8(x7531,x7534,x7533)+P8(f11(x7531,x7532,x7533),f11(x7534,x7532,x7533),x7533)
% 0.83/1.01 [754]~P2(x7543)+~P8(x7542,x7544,x7543)+P8(f11(x7541,x7542,x7543),f11(x7541,x7544,x7543),x7543)
% 0.83/1.01 [755]~P25(x7553)+~P8(x7552,x7554,x7553)+P8(f11(x7551,x7552,x7553),f11(x7551,x7554,x7553),x7553)
% 0.83/1.01 [756]~P2(x7563)+~P10(x7561,x7564,x7563)+P10(f11(x7561,x7562,x7563),f11(x7564,x7562,x7563),x7563)
% 0.83/1.01 [757]~P33(x7573)+~P10(x7571,x7574,x7573)+P10(f11(x7571,x7572,x7573),f11(x7574,x7572,x7573),x7573)
% 0.83/1.01 [758]~P2(x7583)+~P10(x7582,x7584,x7583)+P10(f11(x7581,x7582,x7583),f11(x7581,x7584,x7583),x7583)
% 0.83/1.01 [759]~P33(x7593)+~P10(x7592,x7594,x7593)+P10(f11(x7591,x7592,x7593),f11(x7591,x7594,x7593),x7593)
% 0.83/1.01 [760]~P39(x7603)+~P9(x7601,x7604,x7603)+P9(f20(x7601,x7602,x7603),f20(x7604,x7602,x7603),x7603)
% 0.83/1.01 [761]~P49(x7613)+~P9(x7611,x7614,x7613)+P9(f8(x7611,x7612,x7613),f8(x7614,x7612,x7613),x7613)
% 0.83/1.01 [762]~P49(x7623)+~P9(x7622,x7624,x7623)+P9(f8(x7621,x7622,x7623),f8(x7621,x7624,x7623),x7623)
% 0.83/1.01 [912]~P2(x9123)+P8(x9121,x9122,x9123)+~P8(f11(x9124,x9121,x9123),f11(x9124,x9122,x9123),x9123)
% 0.83/1.01 [913]~P2(x9133)+P8(x9131,x9132,x9133)+~P8(f11(x9131,x9134,x9133),f11(x9132,x9134,x9133),x9133)
% 0.83/1.01 [914]~P2(x9143)+P10(x9141,x9142,x9143)+~P10(f11(x9144,x9141,x9143),f11(x9144,x9142,x9143),x9143)
% 0.83/1.01 [915]~P2(x9153)+P10(x9151,x9152,x9153)+~P10(f11(x9151,x9154,x9153),f11(x9152,x9154,x9153),x9153)
% 0.83/1.01 [483]~P5(x4834)+E(x4831,x4832)+E(f16(f15(x4833,x4831,x4834),x4832,x4834),f12(x4834))
% 0.83/1.01 [529]~P43(x5292)+~E(f19(x5293,x5291,x5292),f18(x5294,x5291,x5292))+E(x5291,f12(f23(x5292)))
% 0.83/1.01 [618]~P46(x6182)+E(x6181,f12(x6182))+E(f5(x6183,f19(x6181,x6184,x6182),f23(x6182)),f5(x6183,x6184,f23(x6182)))
% 0.83/1.01 [647]~P4(x6473)+E(x6471,f13(x6472,x6473))+~E(f11(x6471,f11(x6474,x6472,x6473),x6473),x6474)
% 0.83/1.01 [674]~P6(x6743)+~P9(x6744,x6742,x6743)+E(f5(f5(x6741,x6742,x6743),x6744,x6743),f5(x6741,x6744,x6743))
% 0.83/1.01 [718]~P6(x7182)+E(x7181,f12(x7182))+E(f6(f8(x7183,x7181,x7182),f8(x7184,x7181,x7182),x7182),f6(x7183,x7184,x7182))
% 0.83/1.01 [719]~P6(x7192)+E(x7191,f12(x7192))+E(f6(f8(x7191,x7193,x7192),f8(x7191,x7194,x7192),x7192),f6(x7193,x7194,x7192))
% 0.83/1.01 [720]~P1(x7203)+~P46(x7203)+E(f8(f3(x7201,x7202,x7203),x7204,x7203),f3(f8(x7201,x7204,x7203),x7202,x7203))
% 0.83/1.01 [726]~P7(x7262)+~E(f5(x7261,x7263,x7262),f5(x7264,x7263,x7262))+E(f5(f13(x7261,x7262),x7263,x7262),f5(f13(x7264,x7262),x7263,x7262))
% 0.83/1.01 [840]~P6(x8403)+~P9(x8404,x8401,x8403)+E(f6(f8(x8401,x8402,x8403),x8404,x8403),f8(f6(x8401,x8404,x8403),x8402,x8403))
% 0.83/1.01 [873]~P46(x8732)+E(x8731,f12(x8732))+E(f3(f20(x8733,x8734,x8732),f20(x8731,x8734,x8732),x8732),f20(f3(x8733,x8731,x8732),x8734,x8732))
% 0.83/1.01 [874]~P1(x8743)+~P46(x8743)+E(f3(f20(x8741,x8742,x8743),f20(x8744,x8742,x8743),x8743),f20(f3(x8741,x8744,x8743),x8742,x8743))
% 0.83/1.01 [911]~P24(x9114)+~P8(f11(x9111,x9113,x9114),x9112,x9114)+P8(x9111,f11(x9112,f7(x9113,x9114),x9114),x9114)
% 0.83/1.01 [932]~P6(x9323)+~P9(x9324,x9321,x9323)+E(f6(f20(x9321,x9322,x9323),f20(x9324,x9322,x9323),x9323),f20(f6(x9321,x9324,x9323),x9322,x9323))
% 0.83/1.01 [965]~P49(x9653)+~P12(x9653)+E(f11(f8(x9651,x9652,x9653),f8(x9651,x9654,x9653),x9653),f11(f8(x9651,x9654,x9653),f8(x9651,x9652,x9653),x9653))
% 0.83/1.01 [1008]~P56(x10084)+P10(x10081,f11(x10082,x10083,x10084),x10084)+~P10(f7(f10(x10081,x10082,x10084),x10084),x10083,x10084)
% 0.83/1.01 [1009]~P56(x10093)+P10(f10(x10091,x10092,x10093),x10094,x10093)+~P10(f7(f10(x10094,x10091,x10093),x10093),x10092,x10093)
% 0.83/1.01 [1076]E(x10761,x10762)+~P46(x10763)+~P11(x10762,f12(f23(x10763)),x10764,x10761,x10763)
% 0.83/1.01 [1078]~P46(x10782)+~P11(x10783,f12(f23(x10782)),x10781,x10784,x10782)+E(x10781,f12(f23(x10782)))
% 0.83/1.01 [1079]~P46(x10792)+~P11(f12(f23(x10792)),x10793,x10794,x10791,x10792)+E(x10791,f12(f23(x10792)))
% 0.83/1.01 [1080]~P46(x10802)+~P11(f12(f23(x10802)),x10803,x10801,x10804,x10802)+E(x10801,f12(f23(x10802)))
% 0.83/1.01 [807]~P46(x8072)+E(x8071,f12(x8072))+E(f19(f2(x8071,x8072),f6(x8073,x8074,f23(x8072)),x8072),f6(x8073,f19(x8071,x8074,x8072),f23(x8072)))
% 0.83/1.01 [962]~P6(x9622)+E(x9621,f12(x9622))+E(f6(f11(x9623,f8(x9624,x9621,x9622),x9622),x9621,x9622),f11(x9624,f6(x9623,x9621,x9622),x9622))
% 0.83/1.01 [963]~P6(x9632)+E(x9631,f12(x9632))+E(f6(f11(x9633,f8(x9631,x9634,x9632),x9632),x9631,x9632),f11(x9634,f6(x9633,x9631,x9632),x9632))
% 0.83/1.01 [497]~P5(x4974)+E(x4971,x4972)+~E(f18(x4973,x4971,x4974),f18(x4975,x4972,x4974))
% 0.83/1.01 [502]~P5(x5024)+E(x5021,x5022)+~E(f18(x5021,x5023,x5024),f18(x5022,x5025,x5024))
% 0.83/1.01 [837]~P4(x8373)+E(f11(x8371,x8372,x8373),x8374)+~E(f11(x8371,f11(x8375,x8372,x8373),x8373),f11(x8375,x8374,x8373))
% 0.83/1.01 [966]~P1(x9663)+~P46(x9663)+E(f8(f3(x9661,x9662,x9663),f3(x9664,x9665,x9663),x9663),f3(f8(x9661,x9664,x9663),f8(x9662,x9665,x9663),x9663))
% 0.83/1.01 [1081]~P46(x10813)+~P11(x10811,x10812,x10815,x10814,x10813)+E(f5(x10811,x10812,f23(x10813)),x10814)
% 0.83/1.01 [1082]~P46(x10823)+~P11(x10821,x10822,x10824,x10825,x10823)+E(f6(x10821,x10822,f23(x10823)),x10824)
% 0.83/1.01 [1092]~P46(x10923)+~P11(x10922,x10924,x10925,x10926,x10923)+P11(f19(x10921,x10922,x10923),x10924,f19(x10921,x10925,x10923),f19(x10921,x10926,x10923),x10923)
% 0.83/1.01 [1053]~P59(x10534)+~E(f11(f8(x10533,x10535,x10534),x10531,x10534),f11(f8(x10532,x10535,x10534),x10536,x10534))+E(x10531,f11(f8(f10(x10532,x10533,x10534),x10535,x10534),x10536,x10534))
% 0.83/1.01 [1054]~P59(x10543)+~E(f11(f8(x10541,x10544,x10543),x10545,x10543),f11(f8(x10542,x10544,x10543),x10546,x10543))+E(f11(f8(f10(x10541,x10542,x10543),x10544,x10543),x10545,x10543),x10546)
% 0.83/1.01 [1072]~P64(x10724)+~P8(f11(f8(x10723,x10725,x10724),x10721,x10724),f11(f8(x10722,x10725,x10724),x10726,x10724),x10724)+P8(x10721,f11(f8(f10(x10722,x10723,x10724),x10725,x10724),x10726,x10724),x10724)
% 0.83/1.01 [1073]~P64(x10734)+~P10(f11(f8(x10733,x10735,x10734),x10731,x10734),f11(f8(x10732,x10735,x10734),x10736,x10734),x10734)+P10(x10731,f11(f8(f10(x10732,x10733,x10734),x10735,x10734),x10736,x10734),x10734)
% 0.83/1.01 [1074]~P64(x10743)+~P8(f11(f8(x10741,x10744,x10743),x10745,x10743),f11(f8(x10742,x10744,x10743),x10746,x10743),x10743)+P8(f11(f8(f10(x10741,x10742,x10743),x10744,x10743),x10745,x10743),x10746,x10743)
% 0.83/1.01 [1075]~P64(x10753)+~P10(f11(f8(x10751,x10754,x10753),x10755,x10753),f11(f8(x10752,x10754,x10753),x10756,x10753),x10753)+P10(f11(f8(f10(x10751,x10752,x10753),x10754,x10753),x10755,x10753),x10756,x10753)
% 0.83/1.01 [1083]~P64(x10833)+P8(f11(f8(x10831,x10832,x10833),x10834,x10833),f11(f8(x10835,x10832,x10833),x10836,x10833),x10833)+~P8(x10834,f11(f8(f10(x10835,x10831,x10833),x10832,x10833),x10836,x10833),x10833)
% 0.83/1.01 [1084]~P64(x10843)+P10(f11(f8(x10841,x10842,x10843),x10844,x10843),f11(f8(x10845,x10842,x10843),x10846,x10843),x10843)+~P10(x10844,f11(f8(f10(x10845,x10841,x10843),x10842,x10843),x10846,x10843),x10843)
% 0.83/1.01 [1085]~P64(x10853)+P8(f11(f8(x10851,x10852,x10853),x10854,x10853),f11(f8(x10855,x10852,x10853),x10856,x10853),x10853)+~P8(f11(f8(f10(x10851,x10855,x10853),x10852,x10853),x10854,x10853),x10856,x10853)
% 0.83/1.01 [1086]~P64(x10863)+P10(f11(f8(x10861,x10862,x10863),x10864,x10863),f11(f8(x10865,x10862,x10863),x10866,x10863),x10863)+~P10(f11(f8(f10(x10861,x10865,x10863),x10862,x10863),x10864,x10863),x10866,x10863)
% 0.83/1.01 [288]~P1(x2882)+~P46(x2882)+~E(f2(x2881,x2882),f9(x2882))+E(x2881,f9(x2882))
% 0.83/1.01 [349]~E(f27(x3492),f12(a21))+E(x3491,f12(a21))+E(f14(x3492,x3491,a21),f12(a21))+~P49(a21)
% 0.83/1.01 [371]~P34(x3712)+~P24(x3712)+P10(x3711,f12(x3712),x3712)+E(f7(x3711,x3712),x3711)
% 0.83/1.01 [437]~P34(x4372)+~P24(x4372)+~P10(x4371,f12(x4372),x4372)+E(f7(x4371,x4372),f13(x4371,x4372))
% 0.83/1.01 [546]~P57(x5461)+~P1(x5461)+~P8(f12(x5461),x5462,x5461)+P8(f12(x5461),f2(x5462,x5461),x5461)
% 0.83/1.01 [548]~P57(x5482)+~P1(x5482)+~P8(x5481,f12(x5482),x5482)+P8(f2(x5481,x5482),f12(x5482),x5482)
% 0.83/1.01 [549]~P57(x5492)+~P1(x5492)+~P8(x5491,f12(x5492),x5492)+P8(f2(x5491,x5492),f9(x5492),x5492)
% 0.83/1.01 [551]~P57(x5512)+~P1(x5512)+~P8(x5511,f12(x5512),x5512)+P10(f2(x5511,x5512),f9(x5512),x5512)
% 0.83/1.01 [552]~P57(x5522)+~P1(x5522)+~P8(f9(x5522),x5521,x5522)+P8(f2(x5521,x5522),f9(x5522),x5522)
% 0.83/1.01 [553]~P57(x5532)+~P1(x5532)+~P10(f9(x5532),x5531,x5532)+P10(f2(x5531,x5532),f9(x5532),x5532)
% 0.83/1.01 [572]~P57(x5722)+~P10(f2(x5721,x5722),f12(x5722),x5722)+P10(x5721,f12(x5722),x5722)+E(x5721,f12(x5722))
% 0.83/1.01 [573]~P57(x5732)+~P10(f12(x5732),f2(x5731,x5732),x5732)+P10(f12(x5732),x5731,x5732)+E(x5731,f12(x5732))
% 0.83/1.01 [574]~P57(x5742)+~P1(x5742)+~P8(f9(x5742),f2(x5741,x5742),x5742)+P8(x5741,f9(x5742),x5742)
% 0.83/1.01 [575]~P57(x5752)+~P1(x5752)+~P10(f9(x5752),f2(x5751,x5752),x5752)+P10(x5751,f9(x5752),x5752)
% 0.83/1.01 [576]~P57(x5762)+~P1(x5762)+~P8(f2(x5761,x5762),f12(x5762),x5762)+P8(x5761,f12(x5762),x5762)
% 0.83/1.01 [577]~P57(x5772)+~P1(x5772)+~P10(f2(x5771,x5772),f12(x5772),x5772)+P10(x5771,f12(x5772),x5772)
% 0.83/1.01 [578]~P57(x5781)+~P1(x5781)+~P8(f12(x5781),f2(x5782,x5781),x5781)+P8(f12(x5781),x5782,x5781)
% 0.83/1.01 [579]~P57(x5791)+~P1(x5791)+~P8(f9(x5791),f2(x5792,x5791),x5791)+P10(f12(x5791),x5792,x5791)
% 0.83/1.01 [580]~P57(x5801)+~P1(x5801)+~P10(f12(x5801),f2(x5802,x5801),x5801)+P10(f12(x5801),x5802,x5801)
% 0.83/1.01 [581]~P57(x5811)+~P1(x5811)+~P10(f9(x5811),f2(x5812,x5811),x5811)+P10(f12(x5811),x5812,x5811)
% 0.83/1.01 [648]~P57(x6481)+~P1(x6481)+~P8(f12(x6481),x6482,x6481)+P8(f12(x6481),f3(f9(x6481),x6482,x6481),x6481)
% 0.83/1.01 [649]~P57(x6491)+~P1(x6491)+~P10(f12(x6491),x6492,x6491)+P10(f12(x6491),f3(f9(x6491),x6492,x6491),x6491)
% 0.83/1.01 [650]~P57(x6501)+~P1(x6501)+~P8(x6502,f12(x6501),x6501)+P8(f3(f9(x6501),x6502,x6501),f12(x6501),x6501)
% 0.83/1.01 [651]~P57(x6511)+~P1(x6511)+~P10(x6512,f12(x6511),x6511)+P10(f3(f9(x6511),x6512,x6511),f12(x6511),x6511)
% 0.83/1.01 [744]~P57(x7442)+~P1(x7442)+P8(x7441,f12(x7442),x7442)+~P8(f3(f9(x7442),x7441,x7442),f12(x7442),x7442)
% 0.83/1.01 [745]~P57(x7452)+~P1(x7452)+P10(x7451,f12(x7452),x7452)+~P10(f3(f9(x7452),x7451,x7452),f12(x7452),x7452)
% 0.83/1.01 [746]~P57(x7461)+~P1(x7461)+P8(f12(x7461),x7462,x7461)+~P8(f12(x7461),f3(f9(x7461),x7462,x7461),x7461)
% 0.83/1.01 [747]~P57(x7471)+~P1(x7471)+P10(f12(x7471),x7472,x7471)+~P10(f12(x7471),f3(f9(x7471),x7472,x7471),x7471)
% 0.83/1.01 [425]P10(x4251,x4252,x4253)+~P56(x4253)+E(x4251,x4252)+P10(x4252,x4251,x4253)
% 0.83/1.01 [429]P10(x4291,x4292,x4293)+~P34(x4293)+E(x4291,x4292)+P10(x4292,x4291,x4293)
% 0.83/1.01 [453]~P34(x4533)+~P8(x4531,x4532,x4533)+E(x4531,x4532)+P10(x4531,x4532,x4533)
% 0.83/1.01 [459]~P36(x4593)+~P8(x4591,x4592,x4593)+E(x4591,x4592)+P10(x4591,x4592,x4593)
% 0.83/1.01 [508]~P8(x5082,x5081,x5083)+~P8(x5081,x5082,x5083)+E(x5081,x5082)+~P36(x5083)
% 0.83/1.01 [557]P10(x5572,x5571,x5573)+~P35(x5573)+~P8(x5572,x5571,x5573)+P8(x5571,x5572,x5573)
% 0.83/1.01 [293]~P1(x2933)+~P48(x2933)+E(x2931,x2932)+~E(f2(x2931,x2933),f2(x2932,x2933))
% 0.83/1.01 [397]~P46(x3973)+E(x3971,x3972)+~E(f3(x3971,x3972,x3973),f9(x3973))+E(x3972,f12(x3973))
% 0.83/1.01 [398]~P49(x3982)+~P12(x3982)+~E(f11(x3983,x3981,x3982),x3983)+E(x3981,f12(x3982))
% 0.83/1.01 [400]~P49(x4003)+~P12(x4003)+E(x4001,x4002)+~E(f10(x4001,x4002,x4003),f12(x4003))
% 0.83/1.01 [402]~P50(x4022)+~E(f8(x4023,x4021,x4022),f12(x4022))+E(x4021,f12(x4022))+E(x4023,f12(x4022))
% 0.83/1.01 [403]~P70(x4032)+~E(f8(x4033,x4031,x4032),f12(x4032))+E(x4031,f12(x4032))+E(x4033,f12(x4032))
% 0.83/1.01 [545]~P49(x5453)+E(x5451,x5452)+~E(f8(x5451,x5451,x5453),f8(x5452,x5452,x5453))+E(x5451,f13(x5452,x5453))
% 0.83/1.01 [656]~P57(x6562)+~P8(x6563,x6561,x6562)+~P10(x6561,f12(x6562),x6562)+P8(f2(x6561,x6562),f2(x6563,x6562),x6562)
% 0.83/1.01 [657]~P57(x6572)+~P10(x6573,x6571,x6572)+~P10(x6571,f12(x6572),x6572)+P10(f2(x6571,x6572),f2(x6573,x6572),x6572)
% 0.83/1.01 [658]~P57(x6582)+~P8(x6583,x6581,x6582)+~P10(f12(x6582),x6583,x6582)+P8(f2(x6581,x6582),f2(x6583,x6582),x6582)
% 0.83/1.01 [659]~P57(x6592)+~P10(x6593,x6591,x6592)+~P10(f12(x6592),x6593,x6592)+P10(f2(x6591,x6592),f2(x6593,x6592),x6592)
% 0.83/1.01 [668]~P27(x6682)+~P8(x6681,x6683,x6682)+~P8(f13(x6681,x6682),x6683,x6682)+P8(f7(x6681,x6682),x6683,x6682)
% 0.83/1.01 [669]~P56(x6692)+~P10(x6691,x6693,x6692)+~P10(f13(x6691,x6692),x6693,x6692)+P10(f7(x6691,x6692),x6693,x6692)
% 0.83/1.01 [685]~P57(x6853)+P8(x6851,x6852,x6853)+~P10(x6851,f12(x6853),x6853)+~P8(f2(x6852,x6853),f2(x6851,x6853),x6853)
% 0.83/1.01 [686]~P57(x6863)+P10(x6861,x6862,x6863)+~P10(x6861,f12(x6863),x6863)+~P10(f2(x6862,x6863),f2(x6861,x6863),x6863)
% 0.83/1.01 [687]~P57(x6873)+P8(x6871,x6872,x6873)+~P10(f12(x6873),x6872,x6873)+~P8(f2(x6872,x6873),f2(x6871,x6873),x6873)
% 0.83/1.01 [688]~P57(x6883)+P10(x6881,x6882,x6883)+~P10(f12(x6883),x6882,x6883)+~P10(f2(x6882,x6883),f2(x6881,x6883),x6883)
% 0.83/1.01 [724]~P56(x7242)+~P8(f20(x7241,x7243,x7242),f12(x7242),x7242)+P8(x7241,f12(x7242),x7242)+E(x7241,f12(x7242))
% 0.83/1.01 [764]~P57(x7641)+~P8(x7642,f12(x7641),x7641)+~P10(x7643,f12(x7641),x7641)+P8(f12(x7641),f3(x7642,x7643,x7641),x7641)
% 0.83/1.01 [766]~P64(x7661)+~P8(x7663,f12(x7661),x7661)+~P8(x7662,f12(x7661),x7661)+P8(f12(x7661),f8(x7662,x7663,x7661),x7661)
% 0.83/1.01 [767]~P58(x7671)+~P8(x7673,f12(x7671),x7671)+~P8(x7672,f12(x7671),x7671)+P8(f12(x7671),f8(x7672,x7673,x7671),x7671)
% 0.83/1.01 [768]~P57(x7681)+~P10(x7683,f12(x7681),x7681)+~P10(x7682,f12(x7681),x7681)+P10(f12(x7681),f3(x7682,x7683,x7681),x7681)
% 0.83/1.01 [769]~P58(x7691)+~P10(x7693,f12(x7691),x7691)+~P10(x7692,f12(x7691),x7691)+P10(f12(x7691),f8(x7692,x7693,x7691),x7691)
% 0.83/1.01 [770]~P57(x7701)+~P8(f12(x7701),x7702,x7701)+~P10(f12(x7701),x7703,x7701)+P8(f12(x7701),f3(x7702,x7703,x7701),x7701)
% 0.83/1.01 [771]~P32(x7711)+~P8(f12(x7711),x7713,x7711)+~P8(f12(x7711),x7712,x7711)+P8(f12(x7711),f11(x7712,x7713,x7711),x7711)
% 0.83/1.01 [772]~P64(x7721)+~P8(f12(x7721),x7723,x7721)+~P8(f12(x7721),x7722,x7721)+P8(f12(x7721),f8(x7722,x7723,x7721),x7721)
% 0.83/1.01 [773]~P58(x7731)+~P8(f12(x7731),x7733,x7731)+~P8(f12(x7731),x7732,x7731)+P8(f12(x7731),f8(x7732,x7733,x7731),x7731)
% 0.83/1.01 [774]~P62(x7741)+~P8(f12(x7741),x7743,x7741)+~P8(f12(x7741),x7742,x7741)+P8(f12(x7741),f8(x7742,x7743,x7741),x7741)
% 0.83/1.01 [775]~P57(x7751)+~P10(f12(x7751),x7753,x7751)+~P10(f12(x7751),x7752,x7751)+P10(f12(x7751),f3(x7752,x7753,x7751),x7751)
% 0.83/1.01 [776]~P32(x7761)+~P8(f12(x7761),x7763,x7761)+~P10(f12(x7761),x7762,x7761)+P10(f12(x7761),f11(x7762,x7763,x7761),x7761)
% 0.83/1.01 [777]~P32(x7771)+~P8(f12(x7771),x7772,x7771)+~P10(f12(x7771),x7773,x7771)+P10(f12(x7771),f11(x7772,x7773,x7771),x7771)
% 0.83/1.01 [778]~P32(x7781)+~P10(f12(x7781),x7783,x7781)+~P10(f12(x7781),x7782,x7781)+P10(f12(x7781),f11(x7782,x7783,x7781),x7781)
% 0.83/1.01 [779]~P60(x7791)+~P10(f12(x7791),x7793,x7791)+~P10(f12(x7791),x7792,x7791)+P10(f12(x7791),f8(x7792,x7793,x7791),x7791)
% 0.83/1.01 [780]~P45(x7801)+~P10(f9(x7801),x7803,x7801)+~P10(f9(x7801),x7802,x7801)+P10(f9(x7801),f8(x7802,x7803,x7801),x7801)
% 0.83/1.01 [781]~P32(x7813)+~P8(x7812,f12(x7813),x7813)+~P8(x7811,f12(x7813),x7813)+P8(f11(x7811,x7812,x7813),f12(x7813),x7813)
% 0.83/1.01 [782]~P32(x7823)+~P8(x7822,f12(x7823),x7823)+~P10(x7821,f12(x7823),x7823)+P10(f11(x7821,x7822,x7823),f12(x7823),x7823)
% 0.83/1.01 [783]~P32(x7833)+~P8(x7831,f12(x7833),x7833)+~P10(x7832,f12(x7833),x7833)+P10(f11(x7831,x7832,x7833),f12(x7833),x7833)
% 0.83/1.01 [784]~P32(x7843)+~P10(x7842,f12(x7843),x7843)+~P10(x7841,f12(x7843),x7843)+P10(f11(x7841,x7842,x7843),f12(x7843),x7843)
% 0.83/1.01 [785]~P57(x7853)+~P8(x7851,f12(x7853),x7853)+~P10(f12(x7853),x7852,x7853)+P8(f3(x7851,x7852,x7853),f12(x7853),x7853)
% 0.83/1.01 [786]~P57(x7863)+~P10(x7862,f12(x7863),x7863)+~P8(f12(x7863),x7861,x7863)+P8(f3(x7861,x7862,x7863),f12(x7863),x7863)
% 0.83/1.01 [787]~P58(x7873)+~P8(x7872,f12(x7873),x7873)+~P8(f12(x7873),x7871,x7873)+P8(f8(x7871,x7872,x7873),f12(x7873),x7873)
% 0.83/1.01 [788]~P58(x7883)+~P8(x7881,f12(x7883),x7883)+~P8(f12(x7883),x7882,x7883)+P8(f8(x7881,x7882,x7883),f12(x7883),x7883)
% 0.83/1.01 [790]~P62(x7903)+~P8(x7902,f12(x7903),x7903)+~P8(f12(x7903),x7901,x7903)+P8(f8(x7901,x7902,x7903),f12(x7903),x7903)
% 0.83/1.01 [793]~P62(x7933)+~P8(x7931,f12(x7933),x7933)+~P8(f12(x7933),x7932,x7933)+P8(f8(x7931,x7932,x7933),f12(x7933),x7933)
% 0.83/1.01 [794]~P57(x7943)+~P10(x7942,f12(x7943),x7943)+~P10(f12(x7943),x7941,x7943)+P10(f3(x7941,x7942,x7943),f12(x7943),x7943)
% 0.83/1.01 [795]~P57(x7953)+~P10(x7951,f12(x7953),x7953)+~P10(f12(x7953),x7952,x7953)+P10(f3(x7951,x7952,x7953),f12(x7953),x7953)
% 0.83/1.01 [796]~P60(x7963)+~P10(x7962,f12(x7963),x7963)+~P10(f12(x7963),x7961,x7963)+P10(f8(x7961,x7962,x7963),f12(x7963),x7963)
% 0.83/1.01 [798]~P60(x7983)+~P10(x7981,f12(x7983),x7983)+~P10(f12(x7983),x7982,x7983)+P10(f8(x7981,x7982,x7983),f12(x7983),x7983)
% 0.83/1.01 [809]~P58(x8092)+~P8(f8(x8093,x8091,x8092),f12(x8092),x8092)+P8(x8091,f12(x8092),x8092)+P8(x8093,f12(x8092),x8092)
% 0.83/1.01 [810]~P58(x8102)+~P8(f12(x8102),f8(x8103,x8101,x8102),x8102)+P8(x8101,f12(x8102),x8102)+P8(f12(x8102),x8103,x8102)
% 0.83/1.01 [811]~P58(x8112)+~P8(f12(x8112),f8(x8111,x8113,x8112),x8112)+P8(x8111,f12(x8112),x8112)+P8(f12(x8112),x8113,x8112)
% 0.83/1.01 [812]~P58(x8122)+~P8(f12(x8122),f8(x8123,x8121,x8122),x8122)+P8(x8121,f12(x8122),x8122)+P8(f12(x8122),x8121,x8122)
% 0.83/1.01 [813]~P58(x8132)+~P8(f12(x8132),f8(x8131,x8133,x8132),x8132)+P8(x8131,f12(x8132),x8132)+P8(f12(x8132),x8131,x8132)
% 0.83/1.01 [814]~P58(x8142)+~P8(f8(x8143,x8141,x8142),f12(x8142),x8142)+P8(x8141,f12(x8142),x8142)+P8(f12(x8142),x8141,x8142)
% 0.83/1.01 [815]~P58(x8152)+~P8(f8(x8151,x8153,x8152),f12(x8152),x8152)+P8(x8151,f12(x8152),x8152)+P8(f12(x8152),x8151,x8152)
% 0.83/1.01 [816]~P58(x8161)+~P8(f8(x8162,x8163,x8161),f12(x8161),x8161)+P8(f12(x8161),x8162,x8161)+P8(f12(x8161),x8163,x8161)
% 0.83/1.01 [845]~P60(x8451)+~P10(f12(x8451),f8(x8453,x8452,x8451),x8451)+P10(f12(x8451),x8452,x8451)+~P10(f12(x8451),x8453,x8451)
% 0.83/1.01 [846]~P60(x8461)+~P10(f12(x8461),f8(x8462,x8463,x8461),x8461)+P10(f12(x8461),x8462,x8461)+~P10(f12(x8461),x8463,x8461)
% 0.83/1.01 [431]~P49(x4312)+E(x4311,f12(x4312))+~E(f19(x4311,x4313,x4312),f12(f23(x4312)))+E(x4313,f12(f23(x4312)))
% 0.83/1.01 [512]~P1(x5122)+~P46(x5122)+E(x5121,f12(x5122))+E(f8(f3(x5123,x5121,x5122),x5121,x5122),x5123)
% 0.83/1.01 [621]~P48(x6212)+E(x6211,f12(x6212))+E(x6213,f12(x6212))+E(f8(f2(x6211,x6212),f2(x6213,x6212),x6212),f2(f8(x6213,x6211,x6212),x6212))
% 0.83/1.01 [675]~P57(x6752)+~P1(x6752)+~P10(f12(x6752),x6753,x6752)+E(f3(f7(x6751,x6752),x6753,x6752),f7(f3(x6751,x6753,x6752),x6752))
% 0.83/1.01 [841]~P65(x8412)+~P8(x8413,f12(x8412),x8412)+~P8(x8411,f12(x8412),x8412)+E(f8(f7(x8411,x8412),f7(x8413,x8412),x8412),f7(f8(x8411,x8413,x8412),x8412))
% 0.83/1.01 [842]~P65(x8422)+~P8(x8423,f12(x8422),x8422)+~P8(f12(x8422),x8421,x8422)+E(f8(f7(x8421,x8422),f7(x8423,x8422),x8422),f7(f8(x8421,x8423,x8422),x8422))
% 0.83/1.01 [843]~P65(x8432)+~P8(x8431,f12(x8432),x8432)+~P8(f12(x8432),x8433,x8432)+E(f8(f7(x8431,x8432),f7(x8433,x8432),x8432),f7(f8(x8431,x8433,x8432),x8432))
% 0.83/1.01 [844]~P65(x8442)+~P8(f12(x8442),x8443,x8442)+~P8(f12(x8442),x8441,x8442)+E(f8(f7(x8441,x8442),f7(x8443,x8442),x8442),f7(f8(x8441,x8443,x8442),x8442))
% 0.83/1.01 [971]~P48(x9712)+E(x9711,f12(x9712))+E(x9713,f12(x9712))+E(f8(f8(f2(x9713,x9712),f11(x9713,x9711,x9712),x9712),f2(x9711,x9712),x9712),f11(f2(x9713,x9712),f2(x9711,x9712),x9712))
% 0.83/1.01 [972]~P48(x9722)+E(x9721,f12(x9722))+E(x9723,f12(x9722))+E(f8(f8(f2(x9723,x9722),f10(x9721,x9723,x9722),x9722),f2(x9721,x9722),x9722),f10(f2(x9723,x9722),f2(x9721,x9722),x9722))
% 0.83/1.01 [973]~P46(x9732)+E(x9731,f12(x9732))+E(x9733,f12(x9732))+E(f8(f8(f11(x9733,x9731,x9732),f2(x9733,x9732),x9732),f2(x9731,x9732),x9732),f11(f2(x9733,x9732),f2(x9731,x9732),x9732))
% 0.83/1.01 [1026]~P45(x10263)+~P10(x10261,f9(x10263),x10263)+~P10(f12(x10263),x10261,x10263)+P10(f8(x10261,f20(x10261,x10262,x10263),x10263),f20(x10261,x10262,x10263),x10263)
% 0.83/1.01 [1061]~P48(x10612)+E(x10611,f12(x10612))+E(x10613,f12(x10612))+E(f13(f8(f8(f2(x10613,x10612),f10(x10613,x10611,x10612),x10612),f2(x10611,x10612),x10612),x10612),f10(f2(x10613,x10612),f2(x10611,x10612),x10612))
% 0.83/1.01 [608]~P35(x6083)+~P8(x6081,x6084,x6083)+P8(x6081,x6082,x6083)+~P8(x6084,x6082,x6083)
% 0.83/1.01 [609]~P36(x6093)+~P8(x6091,x6094,x6093)+P8(x6091,x6092,x6093)+~P8(x6094,x6092,x6093)
% 0.83/1.01 [610]~P35(x6103)+~P10(x6101,x6104,x6103)+P10(x6101,x6102,x6103)+~P8(x6104,x6102,x6103)
% 0.83/1.01 [611]~P35(x6113)+~P10(x6114,x6112,x6113)+P10(x6111,x6112,x6113)+~P8(x6111,x6114,x6113)
% 0.83/1.01 [612]~P35(x6123)+~P10(x6121,x6124,x6123)+P10(x6121,x6122,x6123)+~P10(x6124,x6122,x6123)
% 0.83/1.01 [613]~P36(x6133)+~P10(x6131,x6134,x6133)+P10(x6131,x6132,x6133)+~P8(x6134,x6132,x6133)
% 0.83/1.01 [614]~P36(x6143)+~P10(x6144,x6142,x6143)+P10(x6141,x6142,x6143)+~P8(x6141,x6144,x6143)
% 0.83/1.01 [615]~P36(x6153)+~P10(x6151,x6154,x6153)+P10(x6151,x6152,x6153)+~P10(x6154,x6152,x6153)
% 0.83/1.01 [616]~P39(x6163)+~P9(x6161,x6164,x6163)+P9(x6161,x6162,x6163)+~P9(x6164,x6162,x6163)
% 0.83/1.01 [521]~P49(x5214)+~P12(x5214)+E(x5211,x5212)+~E(f11(x5213,x5211,x5214),f11(x5213,x5212,x5214))
% 0.83/1.01 [643]~P46(x6432)+~P9(x6433,x6434,f23(x6432))+P9(x6433,f19(x6431,x6434,x6432),f23(x6432))+E(x6431,f12(x6432))
% 0.83/1.01 [645]~P46(x6452)+~P9(x6453,x6454,f23(x6452))+P9(f19(x6451,x6453,x6452),x6454,f23(x6452))+E(x6451,f12(x6452))
% 0.83/1.01 [646]~P45(x6464)+E(x6461,x6462)+~P10(f9(x6464),x6463,x6464)+~E(f20(x6463,x6461,x6464),f20(x6463,x6462,x6464))
% 0.83/1.01 [722]~P46(x7222)+~P9(x7223,f19(x7221,x7224,x7222),f23(x7222))+P9(x7223,x7224,f23(x7222))+E(x7221,f12(x7222))
% 0.83/1.01 [723]~P46(x7232)+~P9(f19(x7231,x7233,x7232),x7234,f23(x7232))+P9(x7233,x7234,f23(x7232))+E(x7231,f12(x7232))
% 0.83/1.01 [729]~P39(x7294)+~P9(x7291,x7293,x7294)+~P9(x7291,x7292,x7294)+P9(x7291,f11(x7292,x7293,x7294),x7294)
% 0.83/1.01 [730]~P40(x7304)+~P9(x7301,x7303,x7304)+~P9(x7301,x7302,x7304)+P9(x7301,f10(x7302,x7303,x7304),x7304)
% 0.83/1.01 [732]~P6(x7324)+~P9(x7321,x7323,x7324)+~P9(x7321,x7322,x7324)+P9(x7321,f5(x7322,x7323,x7324),x7324)
% 0.83/1.01 [741]~P45(x7414)+~P10(x7411,x7413,x7414)+~P10(f12(x7414),x7412,x7414)+P10(x7411,f11(x7412,x7413,x7414),x7414)
% 0.83/1.01 [839]~P6(x8393)+P9(x8391,x8392,x8393)+~P9(x8391,x8394,x8393)+~P9(x8391,f5(x8392,x8394,x8393),x8393)
% 0.83/1.01 [888]~P64(x8883)+~P8(x8884,x8881,x8883)+~P8(x8882,f12(x8883),x8883)+P8(f8(x8881,x8882,x8883),f8(x8884,x8882,x8883),x8883)
% 0.83/1.01 [889]~P64(x8893)+~P8(x8894,x8892,x8893)+~P8(x8891,f12(x8893),x8893)+P8(f8(x8891,x8892,x8893),f8(x8891,x8894,x8893),x8893)
% 0.83/1.01 [890]~P58(x8903)+~P8(x8904,x8902,x8903)+~P10(x8901,f12(x8903),x8903)+P8(f8(x8901,x8902,x8903),f8(x8901,x8904,x8903),x8903)
% 0.83/1.01 [891]~P57(x8913)+~P10(x8914,x8911,x8913)+~P10(x8912,f12(x8913),x8913)+P10(f3(x8911,x8912,x8913),f3(x8914,x8912,x8913),x8913)
% 0.83/1.01 [893]~P58(x8933)+~P10(x8934,x8931,x8933)+~P10(x8932,f12(x8933),x8933)+P10(f8(x8931,x8932,x8933),f8(x8934,x8932,x8933),x8933)
% 0.83/1.01 [896]~P58(x8963)+~P10(x8964,x8962,x8963)+~P10(x8961,f12(x8963),x8963)+P10(f8(x8961,x8962,x8963),f8(x8961,x8964,x8963),x8963)
% 0.83/1.01 [897]~P45(x8973)+~P8(x8971,x8974,x8973)+~P8(f12(x8973),x8971,x8973)+P8(f20(x8971,x8972,x8973),f20(x8974,x8972,x8973),x8973)
% 0.83/1.01 [898]~P52(x8983)+~P8(x8981,x8984,x8983)+~P8(f12(x8983),x8982,x8983)+P8(f8(x8981,x8982,x8983),f8(x8984,x8982,x8983),x8983)
% 0.83/1.01 [899]~P58(x8993)+~P8(x8992,x8994,x8993)+~P10(f12(x8993),x8991,x8993)+P8(f8(x8991,x8992,x8993),f8(x8991,x8994,x8993),x8993)
% 0.83/1.01 [900]~P52(x9003)+~P8(x9002,x9004,x9003)+~P8(f12(x9003),x9001,x9003)+P8(f8(x9001,x9002,x9003),f8(x9001,x9004,x9003),x9003)
% 0.83/1.01 [901]~P54(x9013)+~P8(x9012,x9014,x9013)+~P8(f12(x9013),x9011,x9013)+P8(f8(x9011,x9012,x9013),f8(x9011,x9014,x9013),x9013)
% 0.83/1.01 [902]~P57(x9023)+~P10(x9021,x9024,x9023)+~P10(f12(x9023),x9022,x9023)+P10(f3(x9021,x9022,x9023),f3(x9024,x9022,x9023),x9023)
% 0.83/1.01 [903]~P60(x9033)+~P10(x9031,x9034,x9033)+~P10(f12(x9033),x9032,x9033)+P10(f8(x9031,x9032,x9033),f8(x9034,x9032,x9033),x9033)
% 0.83/1.01 [904]~P58(x9043)+~P10(x9041,x9044,x9043)+~P10(f12(x9043),x9042,x9043)+P10(f8(x9041,x9042,x9043),f8(x9044,x9042,x9043),x9043)
% 0.83/1.01 [905]~P60(x9053)+~P10(x9052,x9054,x9053)+~P10(f12(x9053),x9051,x9053)+P10(f8(x9051,x9052,x9053),f8(x9051,x9054,x9053),x9053)
% 0.83/1.01 [907]~P58(x9073)+~P10(x9072,x9074,x9073)+~P10(f12(x9073),x9071,x9073)+P10(f8(x9071,x9072,x9073),f8(x9071,x9074,x9073),x9073)
% 0.83/1.01 [908]~P55(x9083)+~P10(x9082,x9084,x9083)+~P10(f12(x9083),x9081,x9083)+P10(f8(x9081,x9082,x9083),f8(x9081,x9084,x9083),x9083)
% 0.83/1.01 [917]~P49(x9172)+P9(x9173,x9174,x9172)+~P9(f8(x9171,x9173,x9172),f8(x9171,x9174,x9172),x9172)+E(x9171,f12(x9172))
% 0.83/1.01 [918]~P49(x9182)+P9(x9183,x9184,x9182)+~P9(f8(x9183,x9181,x9182),f8(x9184,x9181,x9182),x9182)+E(x9181,f12(x9182))
% 0.83/1.01 [928]~P57(x9284)+~P10(f12(x9284),x9283,x9284)+~P8(f8(x9281,x9283,x9284),x9282,x9284)+P8(x9281,f3(x9282,x9283,x9284),x9284)
% 0.83/1.01 [929]~P57(x9294)+~P10(f12(x9294),x9293,x9294)+~P10(f8(x9291,x9293,x9294),x9292,x9294)+P10(x9291,f3(x9292,x9293,x9294),x9294)
% 0.83/1.01 [930]~P57(x9303)+~P10(f12(x9303),x9302,x9303)+~P8(x9301,f8(x9304,x9302,x9303),x9303)+P8(f3(x9301,x9302,x9303),x9304,x9303)
% 0.83/1.01 [931]~P57(x9313)+~P10(f12(x9313),x9312,x9313)+~P10(x9311,f8(x9314,x9312,x9313),x9313)+P10(f3(x9311,x9312,x9313),x9314,x9313)
% 0.83/1.01 [943]P10(x9432,x9431,x9433)+~P58(x9433)+P10(x9431,x9432,x9433)+~P10(f8(x9434,x9431,x9433),f8(x9434,x9432,x9433),x9433)
% 0.83/1.01 [944]P10(x9442,x9441,x9443)+~P58(x9443)+P10(x9441,x9442,x9443)+~P10(f8(x9441,x9444,x9443),f8(x9442,x9444,x9443),x9443)
% 0.83/1.01 [958]~P58(x9583)+P10(x9581,x9582,x9583)+~P10(f8(x9581,x9584,x9583),f8(x9582,x9584,x9583),x9583)+P10(x9584,f12(x9583),x9583)
% 0.83/1.01 [959]~P58(x9593)+P10(x9591,x9592,x9593)+~P10(f8(x9594,x9591,x9593),f8(x9594,x9592,x9593),x9593)+P10(x9594,f12(x9593),x9593)
% 0.83/1.01 [960]~P58(x9603)+P10(x9601,x9602,x9603)+~P10(f8(x9604,x9602,x9603),f8(x9604,x9601,x9603),x9603)+P10(f12(x9603),x9604,x9603)
% 0.83/1.01 [961]~P58(x9613)+P10(x9611,x9612,x9613)+~P10(f8(x9612,x9614,x9613),f8(x9611,x9614,x9613),x9613)+P10(f12(x9613),x9614,x9613)
% 0.83/1.01 [967]~P58(x9672)+~P10(f8(x9673,x9671,x9672),f8(x9674,x9671,x9672),x9672)+P10(x9671,f12(x9672),x9672)+P10(f12(x9672),x9671,x9672)
% 0.83/1.01 [968]~P58(x9682)+~P10(f8(x9681,x9683,x9682),f8(x9681,x9684,x9682),x9682)+P10(x9681,f12(x9682),x9682)+P10(f12(x9682),x9681,x9682)
% 0.83/1.01 [974]~P58(x9743)+P8(x9741,x9742,x9743)+~P8(f8(x9744,x9742,x9743),f8(x9744,x9741,x9743),x9743)+~P10(x9744,f12(x9743),x9743)
% 0.83/1.01 [975]~P58(x9753)+P10(x9751,x9752,x9753)+~P10(f8(x9754,x9752,x9753),f8(x9754,x9751,x9753),x9753)+~P10(x9754,f12(x9753),x9753)
% 0.83/1.01 [976]~P60(x9763)+P8(x9761,x9762,x9763)+~P8(f8(x9764,x9761,x9763),f8(x9764,x9762,x9763),x9763)+~P10(f12(x9763),x9764,x9763)
% 0.83/1.01 [977]~P60(x9773)+P8(x9771,x9772,x9773)+~P8(f8(x9771,x9774,x9773),f8(x9772,x9774,x9773),x9773)+~P10(f12(x9773),x9774,x9773)
% 0.83/1.01 [978]~P58(x9783)+P8(x9781,x9782,x9783)+~P8(f8(x9784,x9781,x9783),f8(x9784,x9782,x9783),x9783)+~P10(f12(x9783),x9784,x9783)
% 0.83/1.01 [979]~P45(x9793)+P10(x9791,x9792,x9793)+~P8(f12(x9793),x9792,x9793)+~P10(f20(x9791,x9794,x9793),f20(x9792,x9794,x9793),x9793)
% 0.83/1.01 [980]~P60(x9803)+P10(x9801,x9802,x9803)+~P10(f8(x9804,x9801,x9803),f8(x9804,x9802,x9803),x9803)+~P8(f12(x9803),x9804,x9803)
% 0.83/1.01 [981]~P60(x9813)+P10(x9811,x9812,x9813)+~P10(f8(x9811,x9814,x9813),f8(x9812,x9814,x9813),x9813)+~P8(f12(x9813),x9814,x9813)
% 0.83/1.01 [982]~P58(x9823)+P10(x9821,x9822,x9823)+~P10(f8(x9824,x9821,x9823),f8(x9824,x9822,x9823),x9823)+~P10(f12(x9823),x9824,x9823)
% 0.83/1.01 [983]~P61(x9833)+P10(x9831,x9832,x9833)+~P10(f8(x9834,x9831,x9833),f8(x9834,x9832,x9833),x9833)+~P8(f12(x9833),x9834,x9833)
% 0.83/1.01 [984]~P61(x9843)+P10(x9841,x9842,x9843)+~P10(f8(x9841,x9844,x9843),f8(x9842,x9844,x9843),x9843)+~P8(f12(x9843),x9844,x9843)
% 0.83/1.01 [735]~P1(x7352)+~P46(x7352)+E(x7351,f12(x7352))+E(f3(f8(x7353,x7351,x7352),f8(x7354,x7351,x7352),x7352),f3(x7353,x7354,x7352))
% 0.83/1.01 [736]~P1(x7362)+~P46(x7362)+E(x7361,f12(x7362))+E(f3(f8(x7361,x7363,x7362),f8(x7361,x7364,x7362),x7362),f3(x7363,x7364,x7362))
% 0.83/1.01 [1005]~P6(x10053)+~P9(x10052,x10054,x10053)+~P9(x10052,x10051,x10053)+E(f11(f6(x10051,x10052,x10053),f6(x10054,x10052,x10053),x10053),f6(f11(x10051,x10054,x10053),x10052,x10053))
% 0.83/1.01 [1048]~P56(x10483)+~P10(x10481,f11(x10482,x10484,x10483),x10483)+~P10(f10(x10482,x10484,x10483),x10481,x10483)+P10(f7(f10(x10481,x10482,x10483),x10483),x10484,x10483)
% 0.83/1.01 [969]~P1(x9692)+~P46(x9692)+E(x9691,f12(x9692))+E(f3(f11(x9693,f8(x9694,x9691,x9692),x9692),x9691,x9692),f11(x9694,f3(x9693,x9691,x9692),x9692))
% 0.83/1.01 [970]~P1(x9702)+~P46(x9702)+E(x9701,f12(x9702))+E(f3(f11(x9703,f8(x9704,x9701,x9702),x9702),x9701,x9702),f11(f3(x9703,x9701,x9702),x9704,x9702))
% 0.83/1.01 [1087]~P30(x10872)+E(x10871,f12(x10872))+E(x10873,f12(x10872))+E(f13(f8(f8(f2(x10873,x10872),f3(f10(x10873,x10871,x10872),x10874,x10872),x10872),f2(x10871,x10872),x10872),x10872),f3(f10(f2(x10873,x10872),f2(x10871,x10872),x10872),x10874,x10872))
% 0.83/1.01 [679]~P28(x6793)+~P8(x6795,x6794,x6793)+P8(x6791,x6792,x6793)+~E(f10(x6794,x6795,x6793),f10(x6792,x6791,x6793))
% 0.83/1.01 [680]~P28(x6803)+~P8(x6805,x6804,x6803)+P8(x6801,x6802,x6803)+~E(f10(x6802,x6801,x6803),f10(x6804,x6805,x6803))
% 0.83/1.01 [681]~P28(x6813)+~P10(x6814,x6815,x6813)+P10(x6811,x6812,x6813)+~E(f10(x6814,x6815,x6813),f10(x6811,x6812,x6813))
% 0.83/1.01 [682]~P28(x6823)+~P10(x6824,x6825,x6823)+P10(x6821,x6822,x6823)+~E(f10(x6821,x6822,x6823),f10(x6824,x6825,x6823))
% 0.83/1.01 [875]~P25(x8753)+~P8(x8752,x8755,x8753)+~P8(x8751,x8754,x8753)+P8(f11(x8751,x8752,x8753),f11(x8754,x8755,x8753),x8753)
% 0.83/1.01 [876]~P33(x8763)+~P8(x8762,x8765,x8763)+~P10(x8761,x8764,x8763)+P10(f11(x8761,x8762,x8763),f11(x8764,x8765,x8763),x8763)
% 0.83/1.01 [877]~P33(x8773)+~P8(x8771,x8774,x8773)+~P10(x8772,x8775,x8773)+P10(f11(x8771,x8772,x8773),f11(x8774,x8775,x8773),x8773)
% 0.83/1.01 [878]~P33(x8783)+~P10(x8782,x8785,x8783)+~P10(x8781,x8784,x8783)+P10(f11(x8781,x8782,x8783),f11(x8784,x8785,x8783),x8783)
% 0.83/1.01 [879]~P39(x8793)+~P9(x8792,x8795,x8793)+~P9(x8791,x8794,x8793)+P9(f8(x8791,x8792,x8793),f8(x8794,x8795,x8793),x8793)
% 0.83/1.01 [923]~P28(x9234)+~P8(x9235,x9233,x9234)+~P8(x9231,f11(x9232,x9235,x9234),x9234)+P8(x9231,f11(x9232,x9233,x9234),x9234)
% 0.83/1.01 [1010]~P56(x10102)+~P10(f7(x10101,x10102),x10104,x10102)+~P10(f7(x10103,x10102),x10105,x10102)+P10(f8(f7(x10101,x10102),f7(x10103,x10102),x10102),f8(x10104,x10105,x10102),x10102)
% 0.83/1.01 [1029]~P6(x10293)+~P9(x10295,x10292,x10293)+~P9(x10294,x10291,x10293)+E(f6(f8(x10291,x10292,x10293),f8(x10294,x10295,x10293),x10293),f8(f6(x10291,x10294,x10293),f6(x10292,x10295,x10293),x10293))
% 0.83/1.01 [1059]~P46(x10592)+E(x10591,f12(x10592))+E(x10593,f12(x10592))+E(f3(f11(f8(x10594,x10591,x10592),f8(x10595,x10593,x10592),x10592),f8(x10593,x10591,x10592),x10592),f11(f3(x10594,x10593,x10592),f3(x10595,x10591,x10592),x10592))
% 0.83/1.01 [1060]~P46(x10602)+E(x10601,f12(x10602))+E(x10603,f12(x10602))+E(f3(f10(f8(x10604,x10601,x10602),f8(x10605,x10603,x10602),x10602),f8(x10603,x10601,x10602),x10602),f10(f3(x10604,x10603,x10602),f3(x10605,x10601,x10602),x10602))
% 0.83/1.01 [1023]~P6(x10233)+~E(f5(x10231,x10234,x10233),f5(x10235,x10234,x10233))+~E(f5(x10232,x10234,x10233),f5(x10236,x10234,x10233))+E(f5(f11(x10231,x10232,x10233),x10234,x10233),f5(f11(x10235,x10236,x10233),x10234,x10233))
% 0.83/1.01 [1024]~P7(x10243)+~E(f5(x10241,x10244,x10243),f5(x10245,x10244,x10243))+~E(f5(x10242,x10244,x10243),f5(x10246,x10244,x10243))+E(f5(f10(x10241,x10242,x10243),x10244,x10243),f5(f10(x10245,x10246,x10243),x10244,x10243))
% 0.83/1.01 [1025]~P6(x10253)+~E(f5(x10251,x10254,x10253),f5(x10255,x10254,x10253))+~E(f5(x10252,x10254,x10253),f5(x10256,x10254,x10253))+E(f5(f8(x10251,x10252,x10253),x10254,x10253),f5(f8(x10255,x10256,x10253),x10254,x10253))
% 0.83/1.01 [1091]~P46(x10912)+~P11(x10913,x10914,x10915,x10916,x10912)+P11(x10913,f19(x10911,x10914,x10912),f19(f2(x10911,x10912),x10915,x10912),x10916,x10912)+E(x10911,f12(x10912))
% 0.83/1.01 [1093]E(x10931,x10932)+~P11(x10934,x10935,x10936,x10931,x10933)+~P11(x10934,x10935,x10937,x10932,x10933)+~P46(x10933)
% 0.83/1.01 [1094]E(x10941,x10942)+~P11(x10944,x10945,x10942,x10946,x10943)+~P11(x10944,x10945,x10941,x10947,x10943)+~P46(x10943)
% 0.83/1.01 [641]~P57(x6412)+~P1(x6412)+P8(f9(x6412),x6411,x6412)+~P8(f2(x6411,x6412),f9(x6412),x6412)+P8(x6411,f12(x6412),x6412)
% 0.83/1.01 [642]~P57(x6422)+~P1(x6422)+P10(f9(x6422),x6421,x6422)+~P10(f2(x6421,x6422),f9(x6422),x6422)+P8(x6421,f12(x6422),x6422)
% 0.83/1.01 [652]~P57(x6521)+~P1(x6521)+~P10(f12(x6521),x6522,x6521)+~P8(x6522,f9(x6521),x6521)+P8(f9(x6521),f2(x6522,x6521),x6521)
% 0.83/1.01 [653]~P57(x6531)+~P1(x6531)+~P10(f12(x6531),x6532,x6531)+~P10(x6532,f9(x6531),x6531)+P10(f9(x6531),f2(x6532,x6531),x6531)
% 0.83/1.01 [300]~P48(x3003)+E(x3001,x3002)+~E(f2(x3001,x3003),f2(x3002,x3003))+E(x3002,f12(x3003))+E(x3001,f12(x3003))
% 0.83/1.01 [660]~P32(x6602)+~P8(f12(x6602),x6601,x6602)+~P8(f12(x6602),x6603,x6602)+~E(f11(x6603,x6601,x6602),f12(x6602))+E(x6601,f12(x6602))
% 0.83/1.01 [661]~P32(x6612)+~P8(f12(x6612),x6613,x6612)+~P8(f12(x6612),x6611,x6612)+~E(f11(x6611,x6613,x6612),f12(x6612))+E(x6611,f12(x6612))
% 0.83/1.01 [799]~P57(x7991)+~P1(x7991)+~P8(x7993,f12(x7991),x7991)+~P8(x7992,f12(x7991),x7991)+P8(f12(x7991),f3(x7992,x7993,x7991),x7991)
% 0.83/1.01 [801]~P57(x8011)+~P1(x8011)+~P8(f12(x8011),x8013,x8011)+~P8(f12(x8011),x8012,x8011)+P8(f12(x8011),f3(x8012,x8013,x8011),x8011)
% 0.83/1.01 [803]~P57(x8033)+~P1(x8033)+~P8(x8032,f12(x8033),x8033)+~P8(f12(x8033),x8031,x8033)+P8(f3(x8031,x8032,x8033),f12(x8033),x8033)
% 0.83/1.01 [804]~P57(x8043)+~P1(x8043)+~P8(x8041,f12(x8043),x8043)+~P8(f12(x8043),x8042,x8043)+P8(f3(x8041,x8042,x8043),f12(x8043),x8043)
% 0.83/1.01 [821]~P57(x8212)+~P1(x8212)+~P8(f3(x8213,x8211,x8212),f12(x8212),x8212)+P8(x8211,f12(x8212),x8212)+P8(x8213,f12(x8212),x8212)
% 0.83/1.01 [822]~P57(x8222)+~P1(x8222)+~P10(f3(x8223,x8221,x8222),f12(x8222),x8222)+P10(x8221,f12(x8222),x8222)+P10(x8223,f12(x8222),x8222)
% 0.83/1.01 [823]~P57(x8232)+~P1(x8232)+~P8(f12(x8232),f3(x8233,x8231,x8232),x8232)+P8(x8231,f12(x8232),x8232)+P8(f12(x8232),x8233,x8232)
% 0.83/1.01 [824]~P57(x8242)+~P1(x8242)+~P8(f12(x8242),f3(x8241,x8243,x8242),x8242)+P8(x8241,f12(x8242),x8242)+P8(f12(x8242),x8243,x8242)
% 0.83/1.01 [825]~P57(x8252)+~P1(x8252)+~P8(f12(x8252),f3(x8253,x8251,x8252),x8252)+P8(x8251,f12(x8252),x8252)+P8(f12(x8252),x8251,x8252)
% 0.83/1.01 [826]~P57(x8262)+~P1(x8262)+~P8(f12(x8262),f3(x8261,x8263,x8262),x8262)+P8(x8261,f12(x8262),x8262)+P8(f12(x8262),x8261,x8262)
% 0.83/1.01 [827]~P57(x8272)+~P1(x8272)+~P10(f12(x8272),f3(x8273,x8271,x8272),x8272)+P10(x8271,f12(x8272),x8272)+P10(f12(x8272),x8273,x8272)
% 0.83/1.01 [828]~P57(x8282)+~P1(x8282)+~P10(f12(x8282),f3(x8281,x8283,x8282),x8282)+P10(x8281,f12(x8282),x8282)+P10(f12(x8282),x8283,x8282)
% 0.83/1.01 [829]~P57(x8292)+~P1(x8292)+~P10(f12(x8292),f3(x8293,x8291,x8292),x8292)+P10(x8291,f12(x8292),x8292)+P10(f12(x8292),x8291,x8292)
% 0.83/1.01 [830]~P57(x8302)+~P1(x8302)+~P10(f12(x8302),f3(x8301,x8303,x8302),x8302)+P10(x8301,f12(x8302),x8302)+P10(f12(x8302),x8301,x8302)
% 0.83/1.01 [831]~P57(x8312)+~P1(x8312)+~P8(f3(x8313,x8311,x8312),f12(x8312),x8312)+P8(x8311,f12(x8312),x8312)+P8(f12(x8312),x8311,x8312)
% 0.83/1.01 [832]~P57(x8322)+~P1(x8322)+~P8(f3(x8321,x8323,x8322),f12(x8322),x8322)+P8(x8321,f12(x8322),x8322)+P8(f12(x8322),x8321,x8322)
% 0.83/1.01 [833]~P57(x8332)+~P1(x8332)+~P10(f3(x8333,x8331,x8332),f12(x8332),x8332)+P10(x8331,f12(x8332),x8332)+P10(f12(x8332),x8331,x8332)
% 0.83/1.01 [834]~P57(x8342)+~P1(x8342)+~P10(f3(x8341,x8343,x8342),f12(x8342),x8342)+P10(x8341,f12(x8342),x8342)+P10(f12(x8342),x8341,x8342)
% 0.83/1.01 [835]~P57(x8351)+~P1(x8351)+~P8(f3(x8352,x8353,x8351),f12(x8351),x8351)+P8(f12(x8351),x8352,x8351)+P8(f12(x8351),x8353,x8351)
% 0.83/1.01 [836]~P57(x8361)+~P1(x8361)+~P10(f3(x8362,x8363,x8361),f12(x8361),x8361)+P10(f12(x8361),x8362,x8361)+P10(f12(x8361),x8363,x8361)
% 0.83/1.01 [886]~P56(x8863)+~P8(x8861,f9(x8863),x8863)+~P8(f12(x8863),x8862,x8863)+~P8(f12(x8863),x8861,x8863)+P8(f8(x8861,x8862,x8863),x8862,x8863)
% 0.83/1.01 [887]~P56(x8873)+~P8(x8872,f9(x8873),x8873)+~P8(f12(x8873),x8872,x8873)+~P8(f12(x8873),x8871,x8873)+P8(f8(x8871,x8872,x8873),x8871,x8873)
% 0.83/1.01 [885]~P49(x8853)+E(x8851,x8852)+~P9(x8852,x8851,f23(x8853))+~P9(x8851,x8852,f23(x8853))+~E(f16(x8851,f17(x8851,x8853),x8853),f16(x8852,f17(x8852,x8853),x8853))
% 0.83/1.01 [748]~P2(x7484)+~P3(x7484)+~P8(x7481,x7483,x7484)+~P8(f12(x7484),x7482,x7484)+P8(x7481,f11(x7482,x7483,x7484),x7484)
% 0.83/1.01 [749]~P2(x7494)+~P3(x7494)+~P8(x7491,x7492,x7494)+~P8(f12(x7494),x7493,x7494)+P8(x7491,f11(x7492,x7493,x7494),x7494)
% 0.83/1.01 [750]~P2(x7504)+~P3(x7504)+~P8(x7501,x7503,x7504)+~P10(f12(x7504),x7502,x7504)+P10(x7501,f11(x7502,x7503,x7504),x7504)
% 0.83/1.01 [751]~P2(x7514)+~P3(x7514)+~P10(x7511,x7513,x7514)+~P8(f12(x7514),x7512,x7514)+P10(x7511,f11(x7512,x7513,x7514),x7514)
% 0.83/1.01 [909]~P57(x9093)+~P1(x9093)+~P8(x9094,x9091,x9093)+~P8(x9092,f12(x9093),x9093)+P8(f3(x9091,x9092,x9093),f3(x9094,x9092,x9093),x9093)
% 0.83/1.01 [910]~P57(x9103)+~P1(x9103)+~P8(x9101,x9104,x9103)+~P8(f12(x9103),x9102,x9103)+P8(f3(x9101,x9102,x9103),f3(x9104,x9102,x9103),x9103)
% 0.83/1.01 [934]~P57(x9344)+~P1(x9344)+~P10(f12(x9344),x9343,x9344)+~P8(f3(x9341,x9343,x9344),x9342,x9344)+P8(x9341,f8(x9342,x9343,x9344),x9344)
% 0.83/1.01 [936]~P57(x9364)+~P1(x9364)+~P10(f12(x9364),x9363,x9364)+~P10(f3(x9361,x9363,x9364),x9362,x9364)+P10(x9361,f8(x9362,x9363,x9364),x9364)
% 0.83/1.01 [938]~P57(x9383)+~P1(x9383)+~P10(f12(x9383),x9382,x9383)+~P8(x9381,f3(x9384,x9382,x9383),x9383)+P8(f8(x9381,x9382,x9383),x9384,x9383)
% 0.83/1.01 [940]~P57(x9403)+~P1(x9403)+~P10(f12(x9403),x9402,x9403)+~P10(x9401,f3(x9404,x9402,x9403),x9403)+P10(f8(x9401,x9402,x9403),x9404,x9403)
% 0.83/1.01 [942]~P6(x9423)+~P9(x9422,x9424,x9423)+~P9(x9422,x9421,x9423)+~P9(x9421,x9424,x9423)+P9(f6(x9421,x9422,x9423),f6(x9424,x9422,x9423),x9423)
% 0.83/1.01 [1022]~P6(x10223)+~P9(x10224,x10221,x10223)+P9(x10221,x10222,x10223)+~P9(x10224,x10222,x10223)+~P9(f6(x10221,x10224,x10223),f6(x10222,x10224,x10223),x10223)
% 0.83/1.01 [1030]~P57(x10303)+~P10(x10302,x10304,x10303)+~P10(x10301,f12(x10303),x10303)+~P10(f12(x10303),f8(x10302,x10304,x10303),x10303)+P10(f3(x10301,x10302,x10303),f3(x10301,x10304,x10303),x10303)
% 0.83/1.01 [1031]~P57(x10313)+~P8(x10314,x10312,x10313)+~P8(f12(x10313),x10311,x10313)+~P10(f12(x10313),f8(x10312,x10314,x10313),x10313)+P8(f3(x10311,x10312,x10313),f3(x10311,x10314,x10313),x10313)
% 0.83/1.01 [1032]~P57(x10323)+~P10(x10324,x10322,x10323)+~P10(f12(x10323),x10321,x10323)+~P10(f12(x10323),f8(x10322,x10324,x10323),x10323)+P10(f3(x10321,x10322,x10323),f3(x10321,x10324,x10323),x10323)
% 0.83/1.01 [662]~P46(x6622)+~E(f8(x6624,x6623,x6622),f8(x6625,x6621,x6622))+E(f3(x6624,x6621,x6622),f3(x6625,x6623,x6622))+E(x6621,f12(x6622))+E(x6623,f12(x6622))
% 0.83/1.01 [663]~P46(x6632)+~E(f3(x6634,x6633,x6632),f3(x6635,x6631,x6632))+E(f8(x6634,x6631,x6632),f8(x6635,x6633,x6632))+E(x6631,f12(x6632))+E(x6633,f12(x6632))
% 0.83/1.01 [941]~P49(x9414)+~P12(x9414)+E(x9411,x9412)+E(x9413,f12(x9414))+~E(f11(x9415,f8(x9413,x9411,x9414),x9414),f11(x9415,f8(x9413,x9412,x9414),x9414))
% 0.83/1.01 [1051]~P49(x10515)+~P12(x10515)+E(x10511,x10512)+E(x10513,x10514)+~E(f11(f8(x10513,x10511,x10515),f8(x10514,x10512,x10515),x10515),f11(f8(x10513,x10512,x10515),f8(x10514,x10511,x10515),x10515))
% 0.83/1.01 [1067]~P47(x10675)+~P41(x10675)+~P9(x10671,x10674,x10675)+~P9(x10671,f11(x10672,x10676,x10675),x10675)+P9(x10671,f11(f10(x10672,f8(x10673,x10674,x10675),x10675),x10676,x10675),x10675)
% 0.83/1.01 [1071]~P47(x10714)+~P41(x10714)+~P9(x10711,x10715,x10714)+P9(x10711,f11(x10712,x10713,x10714),x10714)+~P9(x10711,f11(f10(x10712,f8(x10716,x10715,x10714),x10714),x10713,x10714),x10714)
% 0.83/1.01 [432]~P66(x4322)+~P50(x4322)+~P51(x4322)+~P37(x4322)+~E(f20(x4321,x4323,x4322),f12(x4322))+E(x4321,f12(x4322))
% 0.83/1.01 [817]~P57(x8172)+~P1(x8172)+P10(x8171,f12(x8172),x8172)+P10(f12(x8172),x8171,x8172)+~P8(x8173,f12(x8172),x8172)+P8(x8173,f3(x8174,x8171,x8172),x8172)
% 0.83/1.01 [818]~P57(x8182)+~P1(x8182)+P10(x8181,f12(x8182),x8182)+P10(f12(x8182),x8181,x8182)+~P10(x8183,f12(x8182),x8182)+P10(x8183,f3(x8184,x8181,x8182),x8182)
% 0.83/1.01 [819]~P57(x8192)+~P1(x8192)+P10(x8191,f12(x8192),x8192)+P10(f12(x8192),x8191,x8192)+~P8(f12(x8192),x8194,x8192)+P8(f3(x8193,x8191,x8192),x8194,x8192)
% 0.83/1.01 [820]~P57(x8202)+~P1(x8202)+P10(x8201,f12(x8202),x8202)+P10(f12(x8202),x8201,x8202)+~P10(f12(x8202),x8204,x8202)+P10(f3(x8203,x8201,x8202),x8204,x8202)
% 0.83/1.01 [881]~P57(x8812)+~P1(x8812)+P8(x8811,f12(x8812),x8812)+P10(f12(x8812),x8813,x8812)+~P8(x8811,f3(x8814,x8813,x8812),x8812)+P10(x8813,f12(x8812),x8812)
% 0.83/1.01 [882]~P57(x8822)+~P1(x8822)+P10(x8821,f12(x8822),x8822)+P10(f12(x8822),x8821,x8822)+~P10(x8823,f3(x8824,x8821,x8822),x8822)+P10(x8823,f12(x8822),x8822)
% 0.83/1.01 [883]~P57(x8832)+~P1(x8832)+P10(x8831,f12(x8832),x8832)+P10(f12(x8832),x8831,x8832)+~P8(f3(x8834,x8831,x8832),x8833,x8832)+P8(f12(x8832),x8833,x8832)
% 0.83/1.01 [884]~P57(x8842)+~P1(x8842)+P10(x8841,f12(x8842),x8842)+P10(f12(x8842),x8841,x8842)+~P10(f3(x8844,x8841,x8842),x8843,x8842)+P10(f12(x8842),x8843,x8842)
% 0.83/1.01 [986]~P57(x9862)+~P1(x9862)+~P8(f8(x9863,x9861,x9862),x9864,x9862)+P10(x9861,f12(x9862),x9862)+~P8(x9863,f12(x9862),x9862)+P8(x9863,f3(x9864,x9861,x9862),x9862)
% 0.83/1.01 [987]~P57(x9872)+~P1(x9872)+~P10(f8(x9873,x9871,x9872),x9874,x9872)+P10(x9871,f12(x9872),x9872)+~P10(x9873,f12(x9872),x9872)+P10(x9873,f3(x9874,x9871,x9872),x9872)
% 0.83/1.01 [988]~P57(x9882)+~P1(x9882)+~P8(x9883,f8(x9884,x9881,x9882),x9882)+P10(x9881,f12(x9882),x9882)+~P8(f12(x9882),x9884,x9882)+P8(f3(x9883,x9881,x9882),x9884,x9882)
% 0.83/1.01 [989]~P57(x9892)+~P1(x9892)+~P10(x9893,f8(x9894,x9891,x9892),x9892)+P10(x9891,f12(x9892),x9892)+~P10(f12(x9892),x9894,x9892)+P10(f3(x9893,x9891,x9892),x9894,x9892)
% 0.83/1.01 [990]~P57(x9901)+~P1(x9901)+~P8(x9904,f8(x9903,x9902,x9901),x9901)+~P8(x9903,f12(x9901),x9901)+P10(f12(x9901),x9902,x9901)+P8(x9903,f3(x9904,x9902,x9901),x9901)
% 0.83/1.01 [991]~P57(x9911)+~P1(x9911)+~P8(x9914,f8(x9913,x9912,x9911),x9911)+~P10(x9912,f12(x9911),x9911)+P10(f12(x9911),x9912,x9911)+P8(x9913,f3(x9914,x9912,x9911),x9911)
% 0.83/1.01 [992]~P57(x9921)+~P1(x9921)+~P8(x9924,f3(x9923,x9922,x9921),x9921)+~P10(x9922,f12(x9921),x9921)+P10(f12(x9921),x9922,x9921)+P8(x9923,f8(x9924,x9922,x9921),x9921)
% 0.83/1.01 [993]~P57(x9931)+~P1(x9931)+~P10(x9934,f8(x9933,x9932,x9931),x9931)+~P10(x9932,f12(x9931),x9931)+P10(f12(x9931),x9932,x9931)+P10(x9933,f3(x9934,x9932,x9931),x9931)
% 0.83/1.01 [994]~P57(x9941)+~P1(x9941)+~P10(x9944,f8(x9943,x9942,x9941),x9941)+~P10(x9943,f12(x9941),x9941)+P10(f12(x9941),x9942,x9941)+P10(x9943,f3(x9944,x9942,x9941),x9941)
% 0.83/1.01 [995]~P57(x9951)+~P1(x9951)+~P10(x9954,f3(x9953,x9952,x9951),x9951)+~P10(x9952,f12(x9951),x9951)+P10(f12(x9951),x9952,x9951)+P10(x9953,f8(x9954,x9952,x9951),x9951)
% 0.83/1.01 [996]~P57(x9961)+~P1(x9961)+~P8(f8(x9964,x9962,x9961),x9963,x9961)+~P10(x9962,f12(x9961),x9961)+P10(f12(x9961),x9962,x9961)+P8(f3(x9963,x9962,x9961),x9964,x9961)
% 0.83/1.01 [997]~P57(x9971)+~P1(x9971)+~P8(f3(x9974,x9972,x9971),x9973,x9971)+~P10(x9972,f12(x9971),x9971)+P10(f12(x9971),x9972,x9971)+P8(f8(x9973,x9972,x9971),x9974,x9971)
% 0.83/1.01 [998]~P57(x9981)+~P1(x9981)+~P10(f8(x9984,x9982,x9981),x9983,x9981)+~P10(x9982,f12(x9981),x9981)+P10(f12(x9981),x9982,x9981)+P10(f3(x9983,x9982,x9981),x9984,x9981)
% 0.83/1.01 [999]~P57(x9991)+~P1(x9991)+~P10(f3(x9994,x9992,x9991),x9993,x9991)+~P10(x9992,f12(x9991),x9991)+P10(f12(x9991),x9992,x9991)+P10(f8(x9993,x9992,x9991),x9994,x9991)
% 0.83/1.01 [1000]~P57(x10001)+~P1(x10001)+~P8(f8(x10004,x10002,x10001),x10003,x10001)+~P8(f12(x10001),x10004,x10001)+P10(f12(x10001),x10002,x10001)+P8(f3(x10003,x10002,x10001),x10004,x10001)
% 0.83/1.01 [1001]~P57(x10011)+~P1(x10011)+~P10(f8(x10014,x10012,x10011),x10013,x10011)+~P10(f12(x10011),x10014,x10011)+P10(f12(x10011),x10012,x10011)+P10(f3(x10013,x10012,x10011),x10014,x10011)
% 0.83/1.01 [1033]~P57(x10333)+~P1(x10333)+~P8(x10332,x10334,x10333)+~P8(x10331,f12(x10333),x10333)+~P10(f12(x10333),f8(x10332,x10334,x10333),x10333)+P8(f3(x10331,x10332,x10333),f3(x10331,x10334,x10333),x10333)
% 0.83/1.01 [1040]~P57(x10404)+~P1(x10404)+~P8(x10401,f12(x10404),x10404)+~P8(x10402,f8(x10401,x10403,x10404),x10404)+~P8(f8(x10401,x10403,x10404),x10402,x10404)+P8(x10401,f3(x10402,x10403,x10404),x10404)
% 0.83/1.01 [1041]~P57(x10414)+~P1(x10414)+~P10(x10413,f12(x10414),x10414)+~P8(x10412,f8(x10411,x10413,x10414),x10414)+~P8(f8(x10411,x10413,x10414),x10412,x10414)+P8(x10411,f3(x10412,x10413,x10414),x10414)
% 0.83/1.01 [1042]~P57(x10424)+~P1(x10424)+~P10(x10423,f12(x10424),x10424)+~P10(x10422,f8(x10421,x10423,x10424),x10424)+~P10(f8(x10421,x10423,x10424),x10422,x10424)+P10(x10421,f3(x10422,x10423,x10424),x10424)
% 0.83/1.01 [1043]~P57(x10434)+~P1(x10434)+~P10(x10431,f12(x10434),x10434)+~P10(x10432,f8(x10431,x10433,x10434),x10434)+~P10(f8(x10431,x10433,x10434),x10432,x10434)+P10(x10431,f3(x10432,x10433,x10434),x10434)
% 0.83/1.01 [1044]~P57(x10443)+~P1(x10443)+~P10(x10442,f12(x10443),x10443)+~P8(x10441,f8(x10444,x10442,x10443),x10443)+~P8(f8(x10444,x10442,x10443),x10441,x10443)+P8(f3(x10441,x10442,x10443),x10444,x10443)
% 0.83/1.01 [1045]~P57(x10453)+~P1(x10453)+~P10(x10452,f12(x10453),x10453)+~P10(x10451,f8(x10454,x10452,x10453),x10453)+~P10(f8(x10454,x10452,x10453),x10451,x10453)+P10(f3(x10451,x10452,x10453),x10454,x10453)
% 0.83/1.01 [1046]~P57(x10463)+~P1(x10463)+~P8(f12(x10463),x10464,x10463)+~P8(x10461,f8(x10464,x10462,x10463),x10463)+~P8(f8(x10464,x10462,x10463),x10461,x10463)+P8(f3(x10461,x10462,x10463),x10464,x10463)
% 0.83/1.01 [1047]~P57(x10473)+~P1(x10473)+~P10(f12(x10473),x10474,x10473)+~P10(x10471,f8(x10474,x10472,x10473),x10473)+~P10(f8(x10474,x10472,x10473),x10471,x10473)+P10(f3(x10471,x10472,x10473),x10474,x10473)
% 0.83/1.01 [1011]~P57(x10113)+~P8(x10115,x10112,x10113)+~P8(x10111,x10114,x10113)+~P8(f12(x10113),x10111,x10113)+~P10(f12(x10113),x10115,x10113)+P8(f3(x10111,x10112,x10113),f3(x10114,x10115,x10113),x10113)
% 0.83/1.01 [1012]~P63(x10123)+~P8(x10122,x10125,x10123)+~P8(x10121,x10124,x10123)+~P8(f12(x10123),x10124,x10123)+~P8(f12(x10123),x10122,x10123)+P8(f8(x10121,x10122,x10123),f8(x10124,x10125,x10123),x10123)
% 0.83/1.01 [1013]~P63(x10133)+~P8(x10132,x10135,x10133)+~P8(x10131,x10134,x10133)+~P8(f12(x10133),x10132,x10133)+~P8(f12(x10133),x10131,x10133)+P8(f8(x10131,x10132,x10133),f8(x10134,x10135,x10133),x10133)
% 0.83/1.01 [1014]~P57(x10143)+~P8(x10145,x10142,x10143)+~P10(x10141,x10144,x10143)+~P8(f12(x10143),x10141,x10143)+~P10(f12(x10143),x10145,x10143)+P10(f3(x10141,x10142,x10143),f3(x10144,x10145,x10143),x10143)
% 0.83/1.01 [1015]~P57(x10153)+~P8(x10151,x10154,x10153)+~P10(x10155,x10152,x10153)+~P10(f12(x10153),x10155,x10153)+~P10(f12(x10153),x10151,x10153)+P10(f3(x10151,x10152,x10153),f3(x10154,x10155,x10153),x10153)
% 0.83/1.01 [1016]~P60(x10163)+~P8(x10162,x10165,x10163)+~P10(x10161,x10164,x10163)+~P8(f12(x10163),x10161,x10163)+~P10(f12(x10163),x10162,x10163)+P10(f8(x10161,x10162,x10163),f8(x10164,x10165,x10163),x10163)
% 0.83/1.01 [1017]~P60(x10173)+~P8(x10171,x10174,x10173)+~P10(x10172,x10175,x10173)+~P8(f12(x10173),x10172,x10173)+~P10(f12(x10173),x10171,x10173)+P10(f8(x10171,x10172,x10173),f8(x10174,x10175,x10173),x10173)
% 0.83/1.01 [1018]~P60(x10183)+~P10(x10182,x10185,x10183)+~P10(x10181,x10184,x10183)+~P8(f12(x10183),x10182,x10183)+~P8(f12(x10183),x10181,x10183)+P10(f8(x10181,x10182,x10183),f8(x10184,x10185,x10183),x10183)
% 0.83/1.01 [1019]~P60(x10193)+~P10(x10192,x10195,x10193)+~P10(x10191,x10194,x10193)+~P8(f12(x10193),x10192,x10193)+~P10(f12(x10193),x10194,x10193)+P10(f8(x10191,x10192,x10193),f8(x10194,x10195,x10193),x10193)
% 0.83/1.01 %EqnAxiom
% 0.83/1.01 [1]E(x11,x11)
% 0.83/1.01 [2]E(x22,x21)+~E(x21,x22)
% 0.83/1.01 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.83/1.01 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.83/1.01 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.83/1.01 [6]~E(x61,x62)+E(f8(x61,x63,x64),f8(x62,x63,x64))
% 0.83/1.01 [7]~E(x71,x72)+E(f8(x73,x71,x74),f8(x73,x72,x74))
% 0.83/1.01 [8]~E(x81,x82)+E(f8(x83,x84,x81),f8(x83,x84,x82))
% 0.83/1.01 [9]~E(x91,x92)+E(f3(x91,x93,x94),f3(x92,x93,x94))
% 0.83/1.01 [10]~E(x101,x102)+E(f3(x103,x101,x104),f3(x103,x102,x104))
% 0.83/1.01 [11]~E(x111,x112)+E(f3(x113,x114,x111),f3(x113,x114,x112))
% 0.83/1.01 [12]~E(x121,x122)+E(f12(x121),f12(x122))
% 0.83/1.01 [13]~E(x131,x132)+E(f14(x131,x133,x134),f14(x132,x133,x134))
% 0.83/1.01 [14]~E(x141,x142)+E(f14(x143,x141,x144),f14(x143,x142,x144))
% 0.83/1.01 [15]~E(x151,x152)+E(f14(x153,x154,x151),f14(x153,x154,x152))
% 0.83/1.01 [16]~E(x161,x162)+E(f19(x161,x163,x164),f19(x162,x163,x164))
% 0.83/1.01 [17]~E(x171,x172)+E(f19(x173,x171,x174),f19(x173,x172,x174))
% 0.83/1.01 [18]~E(x181,x182)+E(f19(x183,x184,x181),f19(x183,x184,x182))
% 0.83/1.01 [19]~E(x191,x192)+E(f16(x191,x193,x194),f16(x192,x193,x194))
% 0.83/1.01 [20]~E(x201,x202)+E(f16(x203,x201,x204),f16(x203,x202,x204))
% 0.83/1.01 [21]~E(x211,x212)+E(f16(x213,x214,x211),f16(x213,x214,x212))
% 0.83/1.01 [22]~E(x221,x222)+E(f4(x221,x223),f4(x222,x223))
% 0.83/1.01 [23]~E(x231,x232)+E(f4(x233,x231),f4(x233,x232))
% 0.83/1.01 [24]~E(x241,x242)+E(f10(x241,x243,x244),f10(x242,x243,x244))
% 0.83/1.01 [25]~E(x251,x252)+E(f10(x253,x251,x254),f10(x253,x252,x254))
% 0.83/1.01 [26]~E(x261,x262)+E(f10(x263,x264,x261),f10(x263,x264,x262))
% 0.83/1.01 [27]~E(x271,x272)+E(f6(x271,x273,x274),f6(x272,x273,x274))
% 0.83/1.01 [28]~E(x281,x282)+E(f6(x283,x281,x284),f6(x283,x282,x284))
% 0.83/1.01 [29]~E(x291,x292)+E(f6(x293,x294,x291),f6(x293,x294,x292))
% 0.83/1.01 [30]~E(x301,x302)+E(f5(x301,x303,x304),f5(x302,x303,x304))
% 0.83/1.01 [31]~E(x311,x312)+E(f5(x313,x311,x314),f5(x313,x312,x314))
% 0.83/1.01 [32]~E(x321,x322)+E(f5(x323,x324,x321),f5(x323,x324,x322))
% 0.83/1.01 [33]~E(x331,x332)+E(f23(x331),f23(x332))
% 0.83/1.01 [34]~E(x341,x342)+E(f11(x341,x343,x344),f11(x342,x343,x344))
% 0.83/1.01 [35]~E(x351,x352)+E(f11(x353,x351,x354),f11(x353,x352,x354))
% 0.83/1.01 [36]~E(x361,x362)+E(f11(x363,x364,x361),f11(x363,x364,x362))
% 0.83/1.01 [37]~E(x371,x372)+E(f20(x371,x373,x374),f20(x372,x373,x374))
% 0.83/1.01 [38]~E(x381,x382)+E(f20(x383,x381,x384),f20(x383,x382,x384))
% 0.83/1.01 [39]~E(x391,x392)+E(f20(x393,x394,x391),f20(x393,x394,x392))
% 0.83/1.01 [40]~E(x401,x402)+E(f9(x401),f9(x402))
% 0.83/1.01 [41]~E(x411,x412)+E(f7(x411,x413),f7(x412,x413))
% 0.83/1.01 [42]~E(x421,x422)+E(f7(x423,x421),f7(x423,x422))
% 0.83/1.01 [43]~E(x431,x432)+E(f18(x431,x433,x434),f18(x432,x433,x434))
% 0.83/1.01 [44]~E(x441,x442)+E(f18(x443,x441,x444),f18(x443,x442,x444))
% 0.83/1.01 [45]~E(x451,x452)+E(f18(x453,x454,x451),f18(x453,x454,x452))
% 0.83/1.01 [46]~E(x461,x462)+E(f13(x461,x463),f13(x462,x463))
% 0.83/1.01 [47]~E(x471,x472)+E(f13(x473,x471),f13(x473,x472))
% 0.83/1.01 [48]~E(x481,x482)+E(f15(x481,x483,x484),f15(x482,x483,x484))
% 0.83/1.01 [49]~E(x491,x492)+E(f15(x493,x491,x494),f15(x493,x492,x494))
% 0.83/1.01 [50]~E(x501,x502)+E(f15(x503,x504,x501),f15(x503,x504,x502))
% 0.83/1.01 [51]~E(x511,x512)+E(f17(x511,x513),f17(x512,x513))
% 0.83/1.01 [52]~E(x521,x522)+E(f17(x523,x521),f17(x523,x522))
% 0.83/1.01 [53]~E(x531,x532)+E(f27(x531),f27(x532))
% 0.83/1.01 [54]~P1(x541)+P1(x542)+~E(x541,x542)
% 0.83/1.01 [55]~P2(x551)+P2(x552)+~E(x551,x552)
% 0.83/1.01 [56]~P3(x561)+P3(x562)+~E(x561,x562)
% 0.83/1.01 [57]P8(x572,x573,x574)+~E(x571,x572)+~P8(x571,x573,x574)
% 0.83/1.01 [58]P8(x583,x582,x584)+~E(x581,x582)+~P8(x583,x581,x584)
% 0.83/1.01 [59]P8(x593,x594,x592)+~E(x591,x592)+~P8(x593,x594,x591)
% 0.83/1.01 [60]~P45(x601)+P45(x602)+~E(x601,x602)
% 0.83/1.01 [61]~P4(x611)+P4(x612)+~E(x611,x612)
% 0.83/1.01 [62]~P46(x621)+P46(x622)+~E(x621,x622)
% 0.83/1.01 [63]~P30(x631)+P30(x632)+~E(x631,x632)
% 0.83/1.01 [64]~P31(x641)+P31(x642)+~E(x641,x642)
% 0.83/1.01 [65]~P20(x651)+P20(x652)+~E(x651,x652)
% 0.83/1.01 [66]~P32(x661)+P32(x662)+~E(x661,x662)
% 0.83/1.01 [67]~P5(x671)+P5(x672)+~E(x671,x672)
% 0.83/1.01 [68]P10(x682,x683,x684)+~E(x681,x682)+~P10(x681,x683,x684)
% 0.83/1.01 [69]P10(x693,x692,x694)+~E(x691,x692)+~P10(x693,x691,x694)
% 0.83/1.01 [70]P10(x703,x704,x702)+~E(x701,x702)+~P10(x703,x704,x701)
% 0.83/1.01 [71]~P6(x711)+P6(x712)+~E(x711,x712)
% 0.83/1.01 [72]~P49(x721)+P49(x722)+~E(x721,x722)
% 0.83/1.01 [73]~P39(x731)+P39(x732)+~E(x731,x732)
% 0.83/1.01 [74]P9(x742,x743,x744)+~E(x741,x742)+~P9(x741,x743,x744)
% 0.83/1.01 [75]P9(x753,x752,x754)+~E(x751,x752)+~P9(x753,x751,x754)
% 0.83/1.01 [76]P9(x763,x764,x762)+~E(x761,x762)+~P9(x763,x764,x761)
% 0.83/1.01 [77]~P34(x771)+P34(x772)+~E(x771,x772)
% 0.83/1.01 [78]~P35(x781)+P35(x782)+~E(x781,x782)
% 0.83/1.01 [79]~P14(x791)+P14(x792)+~E(x791,x792)
% 0.83/1.01 [80]~P58(x801)+P58(x802)+~E(x801,x802)
% 0.83/1.01 [81]~P36(x811)+P36(x812)+~E(x811,x812)
% 0.83/1.01 [82]~P40(x821)+P40(x822)+~E(x821,x822)
% 0.83/1.01 [83]~P12(x831)+P12(x832)+~E(x831,x832)
% 0.83/1.01 [84]~P59(x841)+P59(x842)+~E(x841,x842)
% 0.83/1.01 [85]~P33(x851)+P33(x852)+~E(x851,x852)
% 0.83/1.01 [86]~P66(x861)+P66(x862)+~E(x861,x862)
% 0.83/1.01 [87]~P23(x871)+P23(x872)+~E(x871,x872)
% 0.83/1.01 [88]~P67(x881)+P67(x882)+~E(x881,x882)
% 0.83/1.01 [89]~P50(x891)+P50(x892)+~E(x891,x892)
% 0.83/1.01 [90]~P56(x901)+P56(x902)+~E(x901,x902)
% 0.83/1.01 [91]~P51(x911)+P51(x912)+~E(x911,x912)
% 0.83/1.01 [92]~P52(x921)+P52(x922)+~E(x921,x922)
% 0.83/1.01 [93]~P37(x931)+P37(x932)+~E(x931,x932)
% 0.83/1.01 [94]~P60(x941)+P60(x942)+~E(x941,x942)
% 0.83/1.01 [95]~P22(x951)+P22(x952)+~E(x951,x952)
% 0.83/1.01 [96]~P57(x961)+P57(x962)+~E(x961,x962)
% 0.83/1.01 [97]~P61(x971)+P61(x972)+~E(x971,x972)
% 0.83/1.01 [98]~P25(x981)+P25(x982)+~E(x981,x982)
% 0.83/1.01 [99]~P47(x991)+P47(x992)+~E(x991,x992)
% 0.83/1.01 [100]~P27(x1001)+P27(x1002)+~E(x1001,x1002)
% 0.83/1.01 [101]~P41(x1011)+P41(x1012)+~E(x1011,x1012)
% 0.83/1.01 [102]~P43(x1021)+P43(x1022)+~E(x1021,x1022)
% 0.83/1.01 [103]~P26(x1031)+P26(x1032)+~E(x1031,x1032)
% 0.83/1.01 [104]~P42(x1041)+P42(x1042)+~E(x1041,x1042)
% 0.83/1.01 [105]~P28(x1051)+P28(x1052)+~E(x1051,x1052)
% 0.83/1.01 [106]~P65(x1061)+P65(x1062)+~E(x1061,x1062)
% 0.83/1.01 [107]~P44(x1071)+P44(x1072)+~E(x1071,x1072)
% 0.83/1.01 [108]~P29(x1081)+P29(x1082)+~E(x1081,x1082)
% 0.83/1.01 [109]~P21(x1091)+P21(x1092)+~E(x1091,x1092)
% 0.83/1.01 [110]~P17(x1101)+P17(x1102)+~E(x1101,x1102)
% 0.83/1.01 [111]~P69(x1111)+P69(x1112)+~E(x1111,x1112)
% 0.83/1.01 [112]~P54(x1121)+P54(x1122)+~E(x1121,x1122)
% 0.83/1.01 [113]~P15(x1131)+P15(x1132)+~E(x1131,x1132)
% 0.83/1.01 [114]~P48(x1141)+P48(x1142)+~E(x1141,x1142)
% 0.83/1.01 [115]~P18(x1151)+P18(x1152)+~E(x1151,x1152)
% 0.83/1.01 [116]~P62(x1161)+P62(x1162)+~E(x1161,x1162)
% 0.83/1.01 [117]~P38(x1171)+P38(x1172)+~E(x1171,x1172)
% 0.83/1.01 [118]~P68(x1181)+P68(x1182)+~E(x1181,x1182)
% 0.83/1.01 [119]~P24(x1191)+P24(x1192)+~E(x1191,x1192)
% 0.83/1.01 [120]P11(x1202,x1203,x1204,x1205,x1206)+~E(x1201,x1202)+~P11(x1201,x1203,x1204,x1205,x1206)
% 0.83/1.01 [121]P11(x1213,x1212,x1214,x1215,x1216)+~E(x1211,x1212)+~P11(x1213,x1211,x1214,x1215,x1216)
% 0.83/1.01 [122]P11(x1223,x1224,x1222,x1225,x1226)+~E(x1221,x1222)+~P11(x1223,x1224,x1221,x1225,x1226)
% 0.83/1.01 [123]P11(x1233,x1234,x1235,x1232,x1236)+~E(x1231,x1232)+~P11(x1233,x1234,x1235,x1231,x1236)
% 0.83/1.01 [124]P11(x1243,x1244,x1245,x1246,x1242)+~E(x1241,x1242)+~P11(x1243,x1244,x1245,x1246,x1241)
% 0.83/1.01 [125]~P63(x1251)+P63(x1252)+~E(x1251,x1252)
% 0.83/1.01 [126]~P19(x1261)+P19(x1262)+~E(x1261,x1262)
% 0.83/1.01 [127]~P64(x1271)+P64(x1272)+~E(x1271,x1272)
% 0.83/1.01 [128]~P55(x1281)+P55(x1282)+~E(x1281,x1282)
% 0.83/1.01 [129]~P70(x1291)+P70(x1292)+~E(x1291,x1292)
% 0.83/1.01 [130]~P16(x1301)+P16(x1302)+~E(x1301,x1302)
% 0.83/1.01 [131]~P13(x1311)+P13(x1312)+~E(x1311,x1312)
% 0.83/1.01 [132]~P7(x1321)+P7(x1322)+~E(x1321,x1322)
% 0.83/1.01 [133]~P53(x1331)+P53(x1332)+~E(x1331,x1332)
% 0.83/1.01
% 0.83/1.01 %-------------------------------------------
% 0.83/1.01 cnf(1095,plain,
% 0.83/1.01 ($false),
% 0.83/1.01 inference(scs_inference,[],[211,209]),
% 0.83/1.01 ['proof']).
% 0.83/1.01 % SZS output end Proof
% 0.83/1.01 % Total time :0.050000s
%------------------------------------------------------------------------------