TSTP Solution File: SWV594-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SWV594-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n001.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 : Thu Aug 31 21:34:35 EDT 2023

% Result   : Unsatisfiable 7.04s 7.27s
% Output   : CNFRefutation 7.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV594-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33  % Computer : n001.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 29 10:55:37 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.19/0.56  start to proof:theBenchmark
% 7.04/7.20  %-------------------------------------------
% 7.04/7.20  % File        :CSE---1.6
% 7.04/7.20  % Problem     :theBenchmark
% 7.04/7.20  % Transform   :cnf
% 7.04/7.20  % Format      :tptp:raw
% 7.04/7.20  % Command     :java -jar mcs_scs.jar %d %s
% 7.04/7.20  
% 7.04/7.20  % Result      :Theorem 6.210000s
% 7.04/7.20  % Output      :CNFRefutation 6.210000s
% 7.04/7.20  %-------------------------------------------
% 7.04/7.20  %------------------------------------------------------------------------------
% 7.04/7.20  % File     : SWV594-1 : TPTP v8.1.2. Released v4.1.0.
% 7.04/7.20  % Domain   : Software Verification
% 7.04/7.20  % Problem  : Fast Fourier Transform 127_27
% 7.04/7.20  % Version  : Especial.
% 7.04/7.20  % English  : Formalization of a functional implementation of the FFT algorithm
% 7.04/7.20  %            over the complex numbers, and its inverse. Both are shown
% 7.04/7.20  %            equivalent to the usual definitions of these operations through
% 7.04/7.20  %            Vandermonde matrices. They are also shown to be inverse to each
% 7.04/7.20  %            other, more precisely, that composition of the inverse and the
% 7.04/7.20  %            transformation yield the identity up to a scalar.
% 7.04/7.20  
% 7.04/7.20  % Refs     : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 7.04/7.20  %          : [BN10]  Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 7.04/7.20  % Source   : [Nip10]
% 7.04/7.20  % Names    : FFT-127_27 [Nip10]
% 7.04/7.20  
% 7.04/7.20  % Status   : Unsatisfiable
% 7.04/7.20  % Rating   : 0.10 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.20 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.21 v6.0.0, 0.20 v5.5.0, 0.40 v5.3.0, 0.33 v5.2.0, 0.38 v5.1.0, 0.47 v5.0.0, 0.36 v4.1.0
% 7.04/7.20  % Syntax   : Number of clauses     : 1205 ( 163 unt; 162 nHn; 737 RR)
% 7.04/7.20  %            Number of literals    : 3400 ( 728 equ;2038 neg)
% 7.04/7.20  %            Maximal clause size   :    6 (   2 avg)
% 7.04/7.20  %            Maximal term depth    :    6 (   1 avg)
% 7.04/7.20  %            Number of predicates  :   85 (  84 usr;   0 prp; 1-3 aty)
% 7.04/7.20  %            Number of functors    :   35 (  35 usr;   5 con; 0-3 aty)
% 7.04/7.20  %            Number of variables   : 3169 ( 140 sgn)
% 7.04/7.20  % SPC      : CNF_UNS_RFO_SEQ_NHN
% 7.04/7.20  
% 7.04/7.20  % Comments :
% 7.04/7.20  %------------------------------------------------------------------------------
% 7.04/7.20  cnf(cls_mod__div__equality_0,axiom,
% 7.04/7.20      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.20      | 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 ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_mod__div__decomp_0,axiom,
% 7.04/7.21      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.21      | 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) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_inf__period_I4_J_1,axiom,
% 7.04/7.21      ( ~ class_Ring__and__Field_Odvd(T_a)
% 7.04/7.21      | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 7.04/7.21      | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)
% 7.04/7.21      | ~ 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)
% 7.04/7.21      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_inf__period_I4_J_0,axiom,
% 7.04/7.21      ( ~ class_Ring__and__Field_Odvd(T_a)
% 7.04/7.21      | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 7.04/7.21      | 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)
% 7.04/7.21      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)
% 7.04/7.21      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_zmod__simps_I1_J_0,axiom,
% 7.04/7.21      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.21      | 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) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_zmod__simps_I2_J_0,axiom,
% 7.04/7.21      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.21      | 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) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_power__mult__distrib_0,axiom,
% 7.04/7.21      ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 7.04/7.21      | 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) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_class__semiring_Opwr__mul_0,axiom,
% 7.04/7.21      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.21      | 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) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_le__eqI_0,axiom,
% 7.04/7.21      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.21      | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 7.04/7.21      | c_lessequals(V_y_H,V_x_H,T_a)
% 7.04/7.21      | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_le__eqI_1,axiom,
% 7.04/7.21      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.21      | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 7.04/7.21      | c_lessequals(V_y,V_x,T_a)
% 7.04/7.21      | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_less__eqI_0,axiom,
% 7.04/7.21      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.21      | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 7.04/7.21      | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 7.04/7.21      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_less__eqI_1,axiom,
% 7.04/7.21      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.21      | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 7.04/7.21      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 7.04/7.21      | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_of__real__mult_0,axiom,
% 7.04/7.21      ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 7.04/7.21      | c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal),T_a) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(V_x,T_a),c_RealVector_Oof__real(V_y,T_a),T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_inverse__eq__iff__eq_0,axiom,
% 7.04/7.21      ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 7.04/7.21      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.21      | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 7.04/7.21      | V_a = V_b ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_mult__strict__mono_H_0,axiom,
% 7.04/7.21      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 7.04/7.21      | 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)
% 7.04/7.21      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.21      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.21      | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 7.04/7.21      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_sgn__div__norm_0,axiom,
% 7.04/7.21      ( ~ class_RealVector_Osgn__div__norm(T_a)
% 7.04/7.21      | c_HOL_Osgn__class_Osgn(V_x,T_a) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal),V_x,T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_mult__idem_0,axiom,
% 7.04/7.21      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 7.04/7.21      | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_divide__nonpos__pos_0,axiom,
% 7.04/7.21      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.21      | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.21      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 7.04/7.21      | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_divide__nonneg__neg_0,axiom,
% 7.04/7.21      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.21      | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.21      | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.21      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_zero__less__divide__iff_3,axiom,
% 7.04/7.21      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.21      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.21      | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.21      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.21      | ~ 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) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_zero__less__divide__iff_2,axiom,
% 7.04/7.21      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.21      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.21      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.21      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.21      | ~ 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) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_zero__less__divide__iff_1,axiom,
% 7.04/7.21      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.21      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.21      | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.21      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.21      | ~ 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) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_zero__less__divide__iff_0,axiom,
% 7.04/7.21      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.21      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.21      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.21      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.21      | ~ 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) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_zero__le__dist_0,axiom,
% 7.04/7.21      ( ~ class_RealVector_Ometric__space(T_a)
% 7.04/7.21      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(V_x,V_y,T_a),tc_RealDef_Oreal) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_le__sup__iff_1,axiom,
% 7.04/7.21      ( ~ class_Lattices_Oupper__semilattice(T_a)
% 7.04/7.21      | c_lessequals(V_y,V_z,T_a)
% 7.04/7.21      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_le__sup__iff_0,axiom,
% 7.04/7.21      ( ~ class_Lattices_Oupper__semilattice(T_a)
% 7.04/7.21      | c_lessequals(V_x,V_z,T_a)
% 7.04/7.21      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_le__supI2_0,axiom,
% 7.04/7.21      ( ~ class_Lattices_Oupper__semilattice(T_a)
% 7.04/7.21      | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 7.04/7.21      | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_le__supI1_0,axiom,
% 7.04/7.21      ( ~ class_Lattices_Oupper__semilattice(T_a)
% 7.04/7.21      | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 7.04/7.21      | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_le__supE_1,axiom,
% 7.04/7.21      ( ~ class_Lattices_Oupper__semilattice(T_a)
% 7.04/7.21      | c_lessequals(V_b,V_x,T_a)
% 7.04/7.21      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_le__supE_0,axiom,
% 7.04/7.21      ( ~ class_Lattices_Oupper__semilattice(T_a)
% 7.04/7.21      | c_lessequals(V_a,V_x,T_a)
% 7.04/7.21      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_mult__imp__less__div__pos_0,axiom,
% 7.04/7.21      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.21      | c_HOL_Oord__class_Oless(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 7.04/7.21      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)
% 7.04/7.21      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_mult__imp__div__pos__less_0,axiom,
% 7.04/7.21      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.21      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)
% 7.04/7.21      | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)
% 7.04/7.21      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_less__divide__eq_6,axiom,
% 7.04/7.21      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.21      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.21      | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 7.04/7.21      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.21      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_less__divide__eq_0,axiom,
% 7.04/7.21      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.21      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.21      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 7.04/7.21      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.21      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_divide__less__eq_6,axiom,
% 7.04/7.21      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.21      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.21      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 7.04/7.21      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.21      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_divide__less__eq_0,axiom,
% 7.04/7.21      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.21      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.21      | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 7.04/7.21      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.21      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_inverse__unique_0,axiom,
% 7.04/7.21      ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 7.04/7.21      | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a)
% 7.04/7.21      | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = V_b ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_real__vector_Oscale__one_0,axiom,
% 7.04/7.21      ( ~ class_RealVector_Oreal__vector(T_a)
% 7.04/7.21      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,T_a) = V_x ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 7.04/7.21      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.21      | 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)
% 7.04/7.21      | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 7.04/7.21      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.21      | 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)
% 7.04/7.21      | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 7.04/7.21      ( ~ class_Ring__and__Field_Oidom(T_a)
% 7.04/7.21      | ~ class_Int_Onumber__ring(T_a)
% 7.04/7.21      | 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)
% 7.04/7.21      | V_c = V_d
% 7.04/7.21      | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_prts_0,axiom,
% 7.04/7.21      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.21      | V_a = c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a),T_a) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_ge__one__powr__ge__zero_0,axiom,
% 7.04/7.21      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(V_x,V_a),tc_RealDef_Oreal)
% 7.04/7.21      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_a,tc_RealDef_Oreal)
% 7.04/7.21      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 7.04/7.21  
% 7.04/7.21  cnf(cls_sup__eq__if_1,axiom,
% 7.04/7.22      ( ~ class_Orderings_Olinorder(T_a)
% 7.04/7.22      | ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.22      | c_Lattices_Oupper__semilattice__class_Osup(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a
% 7.04/7.22      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_mult__right__mono__neg_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 7.04/7.22      | 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)
% 7.04/7.22      | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.22      | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_mult__left__mono__neg_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 7.04/7.22      | 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)
% 7.04/7.22      | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.22      | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_mult__right__mono_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 7.04/7.22      | 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)
% 7.04/7.22      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.22      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_mult__left__mono_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 7.04/7.22      | 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)
% 7.04/7.22      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.22      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_mult__mono1_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 7.04/7.22      | 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)
% 7.04/7.22      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.22      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_inverse__divide_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.22      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.22      | 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) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_power__less__power__Suc_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 7.04/7.22      | 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)
% 7.04/7.22      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_inverse__negative__imp__negative_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.22      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.22      | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.22      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_DERIV__inverse__lemma_0,axiom,
% 7.04/7.22      ( ~ class_RealVector_Oreal__normed__field(T_a)
% 7.04/7.22      | 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)
% 7.04/7.22      | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.22      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_norm__sgn_1,axiom,
% 7.04/7.22      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.22      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(V_x,T_a),T_a) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 7.04/7.22      | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_real__sqrt__eq__iff_0,axiom,
% 7.04/7.22      ( c_NthRoot_Osqrt(V_x) != c_NthRoot_Osqrt(V_y)
% 7.04/7.22      | V_x = V_y ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_pos__add__strict_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 7.04/7.22      | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 7.04/7.22      | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 7.04/7.22      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_of__real__inverse_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.22      | ~ class_RealVector_Oreal__div__algebra(T_a)
% 7.04/7.22      | c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(V_x,tc_RealDef_Oreal),T_a) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(V_x,T_a),T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_dvd__mult__right_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.22      | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 7.04/7.22      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_dvd__mult__left_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.22      | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 7.04/7.22      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_dvd__mult2_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.22      | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 7.04/7.22      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_dvd__mult_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.22      | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 7.04/7.22      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_real__sqrt__ge__zero_0,axiom,
% 7.04/7.22      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal)
% 7.04/7.22      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_real__sqrt__ge__0__iff_0,axiom,
% 7.04/7.22      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 7.04/7.22      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_real__sqrt__ge__0__iff_1,axiom,
% 7.04/7.22      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 7.04/7.22      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_sup__inf__distrib2_0,axiom,
% 7.04/7.22      ( ~ class_Lattices_Odistrib__lattice(T_a)
% 7.04/7.22      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_sup__inf__distrib1_0,axiom,
% 7.04/7.22      ( ~ class_Lattices_Odistrib__lattice(T_a)
% 7.04/7.22      | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_add__minus__cancel_0,axiom,
% 7.04/7.22      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.22      | 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 ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_abs__le__D2_0,axiom,
% 7.04/7.22      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.22      | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 7.04/7.22      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_cos__le__one_0,axiom,
% 7.04/7.22      c_lessequals(c_Transcendental_Ocos(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_mult__pos__neg2_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 7.04/7.22      | 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)
% 7.04/7.22      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.22      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_mult__pos__neg_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 7.04/7.22      | 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)
% 7.04/7.22      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.22      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_mult__neg__pos_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 7.04/7.22      | 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)
% 7.04/7.22      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.22      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_mult__le__0__iff_3,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.22      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.22      | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.22      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_mult__le__0__iff_2,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.22      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.22      | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.22      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_mult__le__0__iff_1,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.22      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.22      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.22      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_mult__le__0__iff_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.22      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.22      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.22      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_zero__less__dist__iff_1,axiom,
% 7.04/7.22      ( ~ class_RealVector_Ometric__space(T_a)
% 7.04/7.22      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(V_x,V_y,T_a),tc_RealDef_Oreal)
% 7.04/7.22      | V_x = V_y ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_mod__add__self2_0,axiom,
% 7.04/7.22      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.22      | 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) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_mod__add__self1_0,axiom,
% 7.04/7.22      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.22      | 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) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_abs__less__iff_2,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.22      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 7.04/7.22      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 7.04/7.22      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_div__mult__mult1__if_0,axiom,
% 7.04/7.22      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.22      | 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) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_inf__greatest_0,axiom,
% 7.04/7.22      ( ~ class_Lattices_Olower__semilattice(T_a)
% 7.04/7.22      | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 7.04/7.22      | ~ c_lessequals(V_x,V_z,T_a)
% 7.04/7.22      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_le__inf__iff_2,axiom,
% 7.04/7.22      ( ~ class_Lattices_Olower__semilattice(T_a)
% 7.04/7.22      | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 7.04/7.22      | ~ c_lessequals(V_x,V_z,T_a)
% 7.04/7.22      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_le__infI_0,axiom,
% 7.04/7.22      ( ~ class_Lattices_Olower__semilattice(T_a)
% 7.04/7.22      | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)
% 7.04/7.22      | ~ c_lessequals(V_x,V_b,T_a)
% 7.04/7.22      | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_inf__le2_0,axiom,
% 7.04/7.22      ( ~ class_Lattices_Olower__semilattice(T_a)
% 7.04/7.22      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_inf__le1_0,axiom,
% 7.04/7.22      ( ~ class_Lattices_Olower__semilattice(T_a)
% 7.04/7.22      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 7.04/7.22      ( ~ class_Lattices_Olattice(T_a)
% 7.04/7.22      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 7.04/7.22      ( ~ class_Lattices_Olattice(T_a)
% 7.04/7.22      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_one__dvd_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.22      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_mod__div__equality2_0,axiom,
% 7.04/7.22      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.22      | 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 ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_order__less__le_2,axiom,
% 7.04/7.22      ( ~ class_Orderings_Oorder(T_a)
% 7.04/7.22      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 7.04/7.22      | V_x = V_y
% 7.04/7.22      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_order__le__less_0,axiom,
% 7.04/7.22      ( ~ class_Orderings_Oorder(T_a)
% 7.04/7.22      | V_x = V_y
% 7.04/7.22      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 7.04/7.22      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_real__less__def_2,axiom,
% 7.04/7.22      ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 7.04/7.22      | V_x = V_y
% 7.04/7.22      | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_order__le__neq__trans_0,axiom,
% 7.04/7.22      ( ~ class_Orderings_Oorder(T_a)
% 7.04/7.22      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 7.04/7.22      | V_a = V_b
% 7.04/7.22      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_order__neq__le__trans_0,axiom,
% 7.04/7.22      ( ~ class_Orderings_Oorder(T_a)
% 7.04/7.22      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 7.04/7.22      | ~ c_lessequals(V_a,V_b,T_a)
% 7.04/7.22      | V_a = V_b ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_linorder__antisym__conv1_0,axiom,
% 7.04/7.22      ( ~ class_Orderings_Olinorder(T_a)
% 7.04/7.22      | V_x = V_y
% 7.04/7.22      | ~ c_lessequals(V_x,V_y,T_a)
% 7.04/7.22      | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_linorder__antisym__conv2_0,axiom,
% 7.04/7.22      ( ~ class_Orderings_Olinorder(T_a)
% 7.04/7.22      | V_x = V_y
% 7.04/7.22      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 7.04/7.22      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_xt1_I12_J_0,axiom,
% 7.04/7.22      ( ~ class_Orderings_Oorder(T_a)
% 7.04/7.22      | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 7.04/7.22      | ~ c_lessequals(V_b,V_a,T_a)
% 7.04/7.22      | V_a = V_b ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_xt1_I11_J_0,axiom,
% 7.04/7.22      ( ~ class_Orderings_Oorder(T_a)
% 7.04/7.22      | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 7.04/7.22      | V_a = V_b
% 7.04/7.22      | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_divide__right__mono_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.22      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.22      | 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)
% 7.04/7.22      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.22      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_divide__right__mono__neg_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.22      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.22      | 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)
% 7.04/7.22      | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.22      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_power__inverse_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 7.04/7.22      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.22      | 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) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_inverse__minus__eq_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 7.04/7.22      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.22      | 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) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_split__mult__pos__le_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 7.04/7.22      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 7.04/7.22      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.22      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_split__mult__pos__le_1,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 7.04/7.22      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 7.04/7.22      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.22      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_mult__nonpos__nonpos_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 7.04/7.22      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 7.04/7.22      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.22      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_zero__le__square_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.22      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_zero__le__mult__iff_4,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.22      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 7.04/7.22      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.22      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_zero__le__mult__iff_5,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.22      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 7.04/7.22      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.22      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_mult__nonneg__nonneg_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 7.04/7.22      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 7.04/7.22      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.22      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_norm__mult__less_0,axiom,
% 7.04/7.22      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.22      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_r,V_s,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.22      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal)
% 7.04/7.22      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_right__inverse__eq_0,axiom,
% 7.04/7.22      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.22      | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a)
% 7.04/7.22      | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.22      | V_a = V_b ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_class__ring_Oneg__mul_0,axiom,
% 7.04/7.22      ( ~ class_Int_Onumber__ring(T_a)
% 7.04/7.22      | 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) ) ).
% 7.04/7.22  
% 7.04/7.22  cnf(cls_of__real__def_0,axiom,
% 7.04/7.22      ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 7.04/7.23      | c_RealVector_Oof__real(V_r,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_abs__triangle__ineq2_0,axiom,
% 7.04/7.23      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_dvd__div__neg_0,axiom,
% 7.04/7.23      ( ~ class_Divides_Oring__div(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_dvd__neg__div_0,axiom,
% 7.04/7.23      ( ~ class_Divides_Oring__div(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 7.04/7.23      ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_real__mult__assoc_0,axiom,
% 7.04/7.23      c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_z1,V_z2,tc_RealDef_Oreal),V_z3,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_z1,c_HOL_Otimes__class_Otimes(V_z2,V_z3,tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_class__semiring_Omul__a_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_mult__right_Oadd_0,axiom,
% 7.04/7.23      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_mult_Oadd__right_0,axiom,
% 7.04/7.23      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_mult__left_Oadd_0,axiom,
% 7.04/7.23      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_mult_Oadd__left_0,axiom,
% 7.04/7.23      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_class__semiring_Omul__d_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_frac__less_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | ~ c_lessequals(V_w,V_z,T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 7.04/7.23      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_tan__minus_0,axiom,
% 7.04/7.23      c_Transcendental_Otan(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Otan(V_x),tc_RealDef_Oreal) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 7.04/7.23      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.23      | ~ 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 7.04/7.23      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_less__supI1_0,axiom,
% 7.04/7.23      ( ~ class_Lattices_Oupper__semilattice(T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_less__supI2_0,axiom,
% 7.04/7.23      ( ~ class_Lattices_Oupper__semilattice(T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_abs__minus__commute_0,axiom,
% 7.04/7.23      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_minus__divide__right_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.23      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_minus__divide__left_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_one__le__inverse__iff_2,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.23      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.23      | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
% 7.04/7.23      | ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_zero__le__mult__iff_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.23      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.23      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.23      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_zero__le__mult__iff_1,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.23      | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.23      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.23      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_zero__le__mult__iff_2,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.23      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.23      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.23      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_zero__le__mult__iff_3,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.23      | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.23      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.23      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_sin__le__one_0,axiom,
% 7.04/7.23      c_lessequals(c_Transcendental_Osin(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.23      | ~ 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_nonzero__inverse__eq__divide_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_div__add__self1_0,axiom,
% 7.04/7.23      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_div__add__self2_0,axiom,
% 7.04/7.23      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_abs__one_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.23      | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_diff__frac__eq_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.23      | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_zero__less__two_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_mult_Ominus__left_0,axiom,
% 7.04/7.23      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_mult__left_Ominus_0,axiom,
% 7.04/7.23      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_mult_Ominus__right_0,axiom,
% 7.04/7.23      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_mult__right_Ominus_0,axiom,
% 7.04/7.23      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_square__eq__iff_1,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oidom(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_minus__mult__minus_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oring(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_real__mult__inverse__left_0,axiom,
% 7.04/7.23      ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_x,tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 7.04/7.23      | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_field__inverse_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_left__inverse_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_right__inverse_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_mult__mono_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.23      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.23      | ~ c_lessequals(V_c,V_d,T_a)
% 7.04/7.23      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_mult__mono_H_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.23      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.23      | ~ c_lessequals(V_c,V_d,T_a)
% 7.04/7.23      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_div__mult__mult1_0,axiom,
% 7.04/7.23      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_div__mult__mult2_0,axiom,
% 7.04/7.23      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_sgn__sgn_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.23      | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) = c_HOL_Osgn__class_Osgn(V_a,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_norm__ge__zero_0,axiom,
% 7.04/7.23      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.23      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_divide__less__eq_2,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.23      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_divide__less__eq_3,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.23      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_divide__less__eq_8,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.23      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_divide__less__eq_9,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.23      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_less__divide__eq_2,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.23      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_less__divide__eq_3,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.23      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_less__divide__eq_8,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.23      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_less__divide__eq_9,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.23      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_of__real__minus_0,axiom,
% 7.04/7.23      ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 7.04/7.23      | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(V_x,T_a),T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_of__real_Ominus_0,axiom,
% 7.04/7.23      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.23      | ~ class_RealVector_Oreal__algebra__1(T_a)
% 7.04/7.23      | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(V_x,T_a),T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_power__Suc__less_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.23      | ~ 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 7.04/7.23      | ~ 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.23      | ~ 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 7.04/7.23      | ~ 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_pprt__neg_0,axiom,
% 7.04/7.23      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.23      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_x,T_a),T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_mod__minus__eq_0,axiom,
% 7.04/7.23      ( ~ class_Divides_Oring__div(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_NthRoot_Oroot__def_2,axiom,
% 7.04/7.23      ( c_NthRoot_Oroot(V_n,V_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.23      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_compl__sup_0,axiom,
% 7.04/7.23      ( ~ class_Lattices_Oboolean__algebra(T_a)
% 7.04/7.23      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_real__mult__is__one_0,axiom,
% 7.04/7.23      ( c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 7.04/7.23      | V_x = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.23      | V_x = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_neg__le__0__iff__le_1,axiom,
% 7.04/7.23      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.23      | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.23      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_neg__le__0__iff__le_0,axiom,
% 7.04/7.23      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.23      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.23      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_div__mult__div__if__dvd_0,axiom,
% 7.04/7.23      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_w,T_a)
% 7.04/7.23      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_one__less__inverse__iff_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.23      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_mult__left__idem_0,axiom,
% 7.04/7.23      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_less__add__one_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_le__eq__neg_1,axiom,
% 7.04/7.23      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.23      | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 7.04/7.23      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_le__eq__neg_0,axiom,
% 7.04/7.23      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.23      | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.23      | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_minus__mult__right_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oring(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_minus__mult__left_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oring(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_sgn__minus_0,axiom,
% 7.04/7.23      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.23      | c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(V_x,T_a),T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_dist__not__less__zero_0,axiom,
% 7.04/7.23      ( ~ class_RealVector_Ometric__space(T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_mult__frac__frac_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.23      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_abs__eq__mult_3,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.23      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_abs__eq__mult_2,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.23      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_abs__eq__mult_1,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.23      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_abs__eq__mult_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.23      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_abs__mult_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_add__le__cancel__right_1,axiom,
% 7.04/7.23      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_add__le__cancel__right_0,axiom,
% 7.04/7.23      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 7.04/7.23      | c_lessequals(V_a,V_b,T_a)
% 7.04/7.23      | ~ 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_add__le__cancel__left_1,axiom,
% 7.04/7.23      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_add__le__cancel__left_0,axiom,
% 7.04/7.23      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 7.04/7.23      | c_lessequals(V_a,V_b,T_a)
% 7.04/7.23      | ~ 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_add__right__mono_0,axiom,
% 7.04/7.23      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_add__left__mono_0,axiom,
% 7.04/7.23      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_dvd__mult__cancel__right_1,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oidom(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_dvd__mult__cancel__left_1,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oidom(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_dvd__trans_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.23      | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 7.04/7.23      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 7.04/7.23      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_dvd__refl_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.23      | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_scaleR__right_Odiff_0,axiom,
% 7.04/7.23      ( ~ class_RealVector_Oreal__vector(T_a)
% 7.04/7.23      | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_scaleR_Odiff__right_0,axiom,
% 7.04/7.23      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.23      | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b_H,T_a),T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_less__infI2_0,axiom,
% 7.04/7.23      ( ~ class_Lattices_Olower__semilattice(T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_less__infI1_0,axiom,
% 7.04/7.23      ( ~ class_Lattices_Olower__semilattice(T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_inf__sup__absorb_0,axiom,
% 7.04/7.23      ( ~ class_Lattices_Olattice(T_a)
% 7.04/7.23      | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_abs__of__nonneg_0,axiom,
% 7.04/7.23      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.23      | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 7.04/7.23      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 7.04/7.23      | V_x = V_y ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 7.04/7.23      ( ~ class_Orderings_Olinorder(T_a)
% 7.04/7.23      | V_x = V_y
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_linorder__antisym__conv3_0,axiom,
% 7.04/7.23      ( ~ class_Orderings_Olinorder(T_a)
% 7.04/7.23      | V_x = V_y
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_linorder__less__linear_0,axiom,
% 7.04/7.23      ( ~ class_Orderings_Olinorder(T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 7.04/7.23      | V_x = V_y
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_order__antisym__conv_0,axiom,
% 7.04/7.23      ( ~ class_Orderings_Oorder(T_a)
% 7.04/7.23      | V_x = V_y
% 7.04/7.23      | ~ c_lessequals(V_x,V_y,T_a)
% 7.04/7.23      | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_order__eq__iff_2,axiom,
% 7.04/7.23      ( ~ class_Orderings_Oorder(T_a)
% 7.04/7.23      | V_x = V_y
% 7.04/7.23      | ~ c_lessequals(V_y,V_x,T_a)
% 7.04/7.23      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_linorder__neqE_0,axiom,
% 7.04/7.23      ( ~ class_Orderings_Olinorder(T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 7.04/7.23      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 7.04/7.23      | V_x = V_y ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_order__antisym_0,axiom,
% 7.04/7.23      ( ~ class_Orderings_Oorder(T_a)
% 7.04/7.23      | V_x = V_y
% 7.04/7.23      | ~ c_lessequals(V_y,V_x,T_a)
% 7.04/7.23      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_real__le__antisym_0,axiom,
% 7.04/7.23      ( V_z = V_w
% 7.04/7.23      | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 7.04/7.23      | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_power__gt1__lemma_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 7.04/7.23      | 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)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_power__divide_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.23      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.23      | 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) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_compl__eq__compl__iff_0,axiom,
% 7.04/7.23      ( ~ class_Lattices_Oboolean__algebra(T_a)
% 7.04/7.23      | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 7.04/7.23      | V_x = V_y ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_neg__equal__iff__equal_0,axiom,
% 7.04/7.23      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.23      | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 7.04/7.23      | V_a = V_b ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_cos__monotone__minus__pi__0_H_0,axiom,
% 7.04/7.23      ( c_lessequals(c_Transcendental_Ocos(V_y),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal)
% 7.04/7.23      | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.23      | ~ c_lessequals(V_y,V_x,tc_RealDef_Oreal)
% 7.04/7.23      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_real__sqrt__not__eq__zero_0,axiom,
% 7.04/7.23      ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 7.04/7.23      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_eq__divide__imp_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.23      | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.23      | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_divide__eq__imp_0,axiom,
% 7.04/7.23      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.23      | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.23      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a ) ).
% 7.04/7.23  
% 7.04/7.23  cnf(cls_estimate__by__abs_0,axiom,
% 7.04/7.23      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 7.04/7.23      | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_eq__divide__eq_3,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)
% 7.04/7.24      | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_divide__eq__eq_3,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a
% 7.04/7.24      | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_divide__le__0__1__iff_1,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_divide__le__0__1__iff_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_distrib__sup__le_0,axiom,
% 7.04/7.24      ( ~ class_Lattices_Olattice(T_a)
% 7.04/7.24      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_abs__le__zero__iff_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.24      | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_cos__monotone__0__pi_H_0,axiom,
% 7.04/7.24      ( c_lessequals(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_lessequals(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_lessequals(V_y,V_x,tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_zero__le__iff__zero__nprt_1,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.24      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_zero__le__iff__zero__nprt_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.24      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_inverse__less__1__iff_1,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_abs__lattice_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 7.04/7.24      | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_dist__le__zero__iff_1,axiom,
% 7.04/7.24      ( ~ class_RealVector_Ometric__space(T_a)
% 7.04/7.24      | c_lessequals(c_RealVector_Odist__class_Odist(V_x,V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_sup__0__imp__0_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.24      | c_Lattices_Oupper__semilattice__class_Osup(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.24      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_div__mult__self2__is__id_0,axiom,
% 7.04/7.24      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.24      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_b,T_a) = V_a
% 7.04/7.24      | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_div__mult__self1__is__id_0,axiom,
% 7.04/7.24      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.24      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),V_b,T_a) = V_a
% 7.04/7.24      | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_add__nonpos__neg_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_add__neg__nonpos_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_neg__less__iff__less_1,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_neg__less__iff__less_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.24      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 7.04/7.24      | ~ 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_nonzero__inverse__scaleR__distrib_0,axiom,
% 7.04/7.24      ( ~ class_RealVector_Oreal__div__algebra(T_a)
% 7.04/7.24      | c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(V_a,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
% 7.04/7.24      | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.24      | V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_inverse__scaleR__distrib_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | ~ class_RealVector_Oreal__div__algebra(T_a)
% 7.04/7.24      | c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(V_a,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_abs__div__pos_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_le__divide__eq_8,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_divide__le__eq_8,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 7.04/7.24      | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.24      | ~ 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_sgn__if_1,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Osgn__if(T_a)
% 7.04/7.24      | c_HOL_Osgn__class_Osgn(V_x,T_a) = c_HOL_Oone__class_Oone(T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 7.04/7.24      | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_real__sgn__def_1,axiom,
% 7.04/7.24      ( c_HOL_Osgn__class_Osgn(V_x,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 7.04/7.24      | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_inf__left__commute_0,axiom,
% 7.04/7.24      ( ~ class_Lattices_Olower__semilattice(T_a)
% 7.04/7.24      | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_inf__assoc_0,axiom,
% 7.04/7.24      ( ~ class_Lattices_Olower__semilattice(T_a)
% 7.04/7.24      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 7.04/7.24      ( ~ class_Lattices_Olattice(T_a)
% 7.04/7.24      | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 7.04/7.24      ( ~ class_Lattices_Olattice(T_a)
% 7.04/7.24      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_abs__less__iff_1,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.24      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_power__less__imp__less__base_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 7.04/7.24      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.24      | ~ 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_zero__less__mult__pos2_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 7.04/7.24      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.24      | ~ 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_zero__less__mult__pos_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 7.04/7.24      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.24      | ~ 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_mult__pos__pos_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_mult__neg__neg_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_real__mult__order_0,axiom,
% 7.04/7.24      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.24      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_even__less__0__iff_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.24      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_even__less__0__iff_1,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_powr__minus_0,axiom,
% 7.04/7.24      c_Log_Opowr(V_x,c_HOL_Ouminus__class_Ouminus(V_a,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Oinverse(c_Log_Opowr(V_x,V_a),tc_RealDef_Oreal) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_neg__sup__eq__inf_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.24      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_divide__neg__neg_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_divide__pos__pos_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_zero__less__divide__iff_4,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_zero__less__divide__iff_5,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_zero__le__pprt_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_of__real__1_0,axiom,
% 7.04/7.24      ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 7.04/7.24      | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_real__sqrt__le__1__iff_1,axiom,
% 7.04/7.24      ( c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_real__sqrt__le__1__iff_0,axiom,
% 7.04/7.24      ( c_lessequals(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_one__less__inverse__iff_1,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_dvd__add_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.24      | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_inverse__add_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.24      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_division__ring__inverse__add_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.24      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_abs__sgn_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.24      | c_HOL_Oabs__class_Oabs(V_k,T_a) = c_HOL_Otimes__class_Otimes(V_k,c_HOL_Osgn__class_Osgn(V_k,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_group__add__class_Odiff__0_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_gt__half__sum_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_less__half__sum_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_cos__arctan__not__zero_0,axiom,
% 7.04/7.24      c_Transcendental_Ocos(c_Transcendental_Oarctan(V_x)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_add__frac__num_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_add__num__frac_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_real__sum__squares__cancel__a_0,axiom,
% 7.04/7.24      ( c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.24      | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_real__sum__squares__cancel__a_1,axiom,
% 7.04/7.24      ( c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.24      | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_Deriv_Oinverse__diff__inverse_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.24      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_diff__def_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_class__ring_Osub__add_0,axiom,
% 7.04/7.24      ( ~ class_Int_Onumber__ring(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_diff__minus_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_ab__diff__minus_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_nonzero__minus__divide__divide_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_div__dvd__div_0,axiom,
% 7.04/7.24      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.24      | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 7.04/7.24      | ~ 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)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_div__dvd__div_1,axiom,
% 7.04/7.24      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_dvd__minus__iff_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 7.04/7.24      | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_dvd__minus__iff_1,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 7.04/7.24      | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_minus__dvd__iff_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 7.04/7.24      | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_minus__dvd__iff_1,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 7.04/7.24      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_Rational_Oordered__idom__class_Osgn__less_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.24      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_Rational_Oordered__idom__class_Osgn__less_1,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.24      | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_le__infE_0,axiom,
% 7.04/7.24      ( ~ class_Lattices_Olower__semilattice(T_a)
% 7.04/7.24      | c_lessequals(V_x,V_a,T_a)
% 7.04/7.24      | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_le__infE_1,axiom,
% 7.04/7.24      ( ~ class_Lattices_Olower__semilattice(T_a)
% 7.04/7.24      | c_lessequals(V_x,V_b,T_a)
% 7.04/7.24      | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_le__infI1_0,axiom,
% 7.04/7.24      ( ~ class_Lattices_Olower__semilattice(T_a)
% 7.04/7.24      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 7.04/7.24      | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_le__infI2_0,axiom,
% 7.04/7.24      ( ~ class_Lattices_Olower__semilattice(T_a)
% 7.04/7.24      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 7.04/7.24      | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_le__inf__iff_0,axiom,
% 7.04/7.24      ( ~ class_Lattices_Olower__semilattice(T_a)
% 7.04/7.24      | c_lessequals(V_x,V_y,T_a)
% 7.04/7.24      | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_le__inf__iff_1,axiom,
% 7.04/7.24      ( ~ class_Lattices_Olower__semilattice(T_a)
% 7.04/7.24      | c_lessequals(V_x,V_z,T_a)
% 7.04/7.24      | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_divide__strict__right__mono_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_divide__strict__right__mono__neg_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_mod__diff__eq_0,axiom,
% 7.04/7.24      ( ~ class_Divides_Oring__div(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_divide__nonneg__pos_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_divide__nonpos__neg_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_mult__left__le__one__le_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a)
% 7.04/7.24      | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_mult__right__le__one__le_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a)
% 7.04/7.24      | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_powr__mono_0,axiom,
% 7.04/7.24      ( c_lessequals(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_lessequals(V_a,V_b,tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_divide__1_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.24      | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_abs__leI_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 7.04/7.24      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_abs__le__iff_2,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 7.04/7.24      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_abs__minus__cancel_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oidom(T_a)
% 7.04/7.24      | ~ class_Int_Onumber__ring(T_a)
% 7.04/7.24      | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 7.04/7.24      | V_y = V_z ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_add__imp__eq_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 7.04/7.24      | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 7.04/7.24      | V_b = V_c ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_add__left__cancel_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 7.04/7.24      | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 7.04/7.24      | V_b = V_c ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_add__right__cancel_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 7.04/7.24      | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 7.04/7.24      | V_b = V_c ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_powr__gt__zero_0,axiom,
% 7.04/7.24      c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(V_x,V_a),tc_RealDef_Oreal) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_not__square__less__zero_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.24      | ~ 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_mult__le__0__iff_4,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_mult__le__0__iff_5,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.24      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_split__mult__neg__le_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_split__mult__neg__le_1,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.24      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_mult__nonneg__nonpos_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_mult__nonpos__nonneg_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.24      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_inverse__mult__distrib_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_nonzero__inverse__mult__distrib_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.24      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_abs__le__zero__iff_1,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_cos__monotone__minus__pi__0_0,axiom,
% 7.04/7.24      ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(V_y),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_y,V_x,tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_add__nonneg__pos_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_add__pos__nonneg_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_cos__monotone__0__pi_0,axiom,
% 7.04/7.24      ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_lessequals(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_y,V_x,tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_dvd__imp__mod__0_0,axiom,
% 7.04/7.24      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.24      | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_dvd__eq__mod__eq__0_1,axiom,
% 7.04/7.24      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.24      | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.24      | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_nonzero__norm__inverse_0,axiom,
% 7.04/7.24      ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 7.04/7.24      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal)
% 7.04/7.24      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_distrib__inf__le_0,axiom,
% 7.04/7.24      ( ~ class_Lattices_Olattice(T_a)
% 7.04/7.24      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 7.04/7.24      ( ~ class_Lattices_Olattice(T_a)
% 7.04/7.24      | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 7.04/7.24      ( ~ class_Lattices_Olattice(T_a)
% 7.04/7.24      | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_le__supI_0,axiom,
% 7.04/7.24      ( ~ class_Lattices_Oupper__semilattice(T_a)
% 7.04/7.24      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 7.04/7.24      | ~ c_lessequals(V_b,V_x,T_a)
% 7.04/7.24      | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_sup__ge1_0,axiom,
% 7.04/7.24      ( ~ class_Lattices_Oupper__semilattice(T_a)
% 7.04/7.24      | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_sup__ge2_0,axiom,
% 7.04/7.24      ( ~ class_Lattices_Oupper__semilattice(T_a)
% 7.04/7.24      | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_sup__least_0,axiom,
% 7.04/7.24      ( ~ class_Lattices_Oupper__semilattice(T_a)
% 7.04/7.24      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 7.04/7.24      | ~ c_lessequals(V_z,V_x,T_a)
% 7.04/7.24      | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_le__sup__iff_2,axiom,
% 7.04/7.24      ( ~ class_Lattices_Oupper__semilattice(T_a)
% 7.04/7.24      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 7.04/7.24      | ~ c_lessequals(V_y,V_z,T_a)
% 7.04/7.24      | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_norm__one_0,axiom,
% 7.04/7.24      ( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
% 7.04/7.24      | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_divide__le__eq_5,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 7.04/7.24      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_divide__le__eq_7,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.24      | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_le__divide__eq_5,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 7.04/7.24      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_le__divide__eq_7,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_cos__zero_0,axiom,
% 7.04/7.24      c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_real__sqrt__gt__0__iff_1,axiom,
% 7.04/7.24      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_real__sqrt__gt__0__iff_0,axiom,
% 7.04/7.24      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_real__sqrt__gt__zero_0,axiom,
% 7.04/7.24      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_dist__commute_0,axiom,
% 7.04/7.24      ( ~ class_RealVector_Ometric__space(T_a)
% 7.04/7.24      | c_RealVector_Odist__class_Odist(V_x,V_y,T_a) = c_RealVector_Odist__class_Odist(V_y,V_x,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.24      | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.24      | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_add__inf__distrib__left_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a)
% 7.04/7.24      | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_add__inf__distrib__right_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a)
% 7.04/7.24      | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_diff__divide__distrib_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_divide_Odiff_0,axiom,
% 7.04/7.24      ( ~ class_RealVector_Oreal__normed__field(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 7.04/7.24      | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 7.04/7.24      | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 7.04/7.24      | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 7.04/7.24      | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_Rational_Oordered__idom__class_Osgn__greater_1,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.24      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_Rational_Oordered__idom__class_Osgn__greater_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.24      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_powr__mono2_0,axiom,
% 7.04/7.24      ( c_lessequals(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_y,V_a),tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_a,tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_dvd__diff_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 7.04/7.24      | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,T_a)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_abs__of__neg_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.24      | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_abs__if_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 7.04/7.24      | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_abs__if__lattice_0,axiom,
% 7.04/7.24      ( ~ class_Orderings_Olinorder(T_a)
% 7.04/7.24      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 7.04/7.24      | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_square__eq__iff_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oidom(T_a)
% 7.04/7.24      | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a)
% 7.04/7.24      | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 7.04/7.24      | V_a = V_b ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_mult__less__imp__less__right_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 7.04/7.24      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.24      | ~ 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_mult__less__imp__less__left_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 7.04/7.24      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.24      | ~ 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_mult__right__less__imp__less_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 7.04/7.24      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.24      | ~ 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_mult__left__less__imp__less_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 7.04/7.24      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.24      | ~ 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_mult__imp__le__div__pos_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | c_lessequals(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_mult__imp__div__pos__le_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)
% 7.04/7.24      | ~ c_lessequals(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_le__divide__eq_6,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_le__divide__eq_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.24      | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_divide__le__eq_6,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.24      | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_divide__le__eq_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_dvd__power_1,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_real__sqrt__eq__1__iff_0,axiom,
% 7.04/7.24      ( c_NthRoot_Osqrt(V_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 7.04/7.24      | V_x = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_mult__sgn__abs_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.24      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_x,T_a),c_HOL_Oabs__class_Oabs(V_x,T_a),T_a) = V_x ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_inverse__le__1__iff_1,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_norm__mult__ineq_0,axiom,
% 7.04/7.24      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.24      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_sum__squares__ge__zero_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_arctan__monotone_H_0,axiom,
% 7.04/7.24      ( c_lessequals(c_Transcendental_Oarctan(V_x),c_Transcendental_Oarctan(V_y),tc_RealDef_Oreal)
% 7.04/7.24      | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_zero__le__divide__1__iff_1,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_zero__le__divide__1__iff_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.24      | ~ 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_zero__less__dist__iff_0,axiom,
% 7.04/7.24      ( ~ class_RealVector_Ometric__space(T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(V_x,V_x,T_a),tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_dvd__mod__imp__dvd_0,axiom,
% 7.04/7.24      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.24      | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_dvd__mod__iff_1,axiom,
% 7.04/7.24      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.24      | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_dvd__mod__iff_0,axiom,
% 7.04/7.24      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.24      | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_dvd__mod_0,axiom,
% 7.04/7.24      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.24      | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_le__add__iff2_1,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_le__add__iff2_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_le__add__iff1_1,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_le__add__iff1_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_divide__le__0__iff_5,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.24      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_divide__le__0__iff_4,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_powr__powr__swap_0,axiom,
% 7.04/7.24      c_Log_Opowr(c_Log_Opowr(V_x,V_a),V_b) = c_Log_Opowr(c_Log_Opowr(V_x,V_b),V_a) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_add__eq__inf__sup_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.24      | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_add__increasing2_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 7.04/7.24      | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 7.04/7.24      | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(V_b,V_a,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_add__increasing_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 7.04/7.24      | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 7.04/7.24      | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(V_b,V_c,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_scaleR__minus__right_0,axiom,
% 7.04/7.24      ( ~ class_RealVector_Oreal__vector(T_a)
% 7.04/7.24      | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_scaleR_Ominus__right_0,axiom,
% 7.04/7.24      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.24      | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_scaleR__minus__left_0,axiom,
% 7.04/7.24      ( ~ class_RealVector_Oreal__vector(T_a)
% 7.04/7.24      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(V_a,tc_RealDef_Oreal),V_x,T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_scaleR__left_Ominus_0,axiom,
% 7.04/7.24      ( ~ class_RealVector_Oreal__vector(T_a)
% 7.04/7.24      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_xa,T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_x,V_xa,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_scaleR_Ominus__left_0,axiom,
% 7.04/7.24      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.24      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(V_a,tc_RealDef_Oreal),V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_abs__minus__le__zero_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_of__real__eq__iff_0,axiom,
% 7.04/7.24      ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 7.04/7.24      | c_RealVector_Oof__real(V_x,T_a) != c_RealVector_Oof__real(V_y,T_a)
% 7.04/7.24      | V_x = V_y ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_eq__add__iff2_1,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oring(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_div__add_0,axiom,
% 7.04/7.24      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,T_a)
% 7.04/7.24      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_neg__le__iff__le_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.24      | c_lessequals(V_a,V_b,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_le__imp__neg__le_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.24      | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_abs__le__mult_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Olordered__ring(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_abs__le__D1_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.24      | c_lessequals(V_a,V_b,T_a)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_mult__strict__mono_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_inverse__eq__divide_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_class__fieldgb_Oinverse__divide_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.24      | ~ class_Int_Onumber__ring(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_zmod__simps_I4_J_0,axiom,
% 7.04/7.24      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.24      | 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) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_divide__left__mono__neg_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ 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)
% 7.04/7.24      | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.24      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_divide__left__mono_0,axiom,
% 7.04/7.24      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.24      | 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)
% 7.04/7.24      | ~ 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)
% 7.04/7.24      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.24      | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_exp__diff_0,axiom,
% 7.04/7.24      ( ~ class_SEQ_Obanach(T_a)
% 7.04/7.24      | ~ class_RealVector_Oreal__normed__field(T_a)
% 7.04/7.24      | c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(V_x,T_a),c_Transcendental_Oexp(V_y,T_a),T_a) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_norm__not__less__zero_0,axiom,
% 7.04/7.24      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.24      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_mult__1__right_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 7.04/7.24      | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_mult__1__left_0,axiom,
% 7.04/7.24      ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 7.04/7.24      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 7.04/7.24  
% 7.04/7.24  cnf(cls_mult__1_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 7.04/7.25      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_class__semiring_Omul__1_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.25      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__mult__1_0,axiom,
% 7.04/7.25      c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) = V_z ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.25      | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.25      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_dvd__triv__right_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.25      | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_dvd__triv__left_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.25      | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_dvdI_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Odvd(T_a)
% 7.04/7.25      | c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_abs__prts_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 7.04/7.25      | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_arctan_2,axiom,
% 7.04/7.25      c_Transcendental_Otan(c_Transcendental_Oarctan(V_y)) = V_y ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_frac__less2_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_w,V_z,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 7.04/7.25      | ~ c_lessequals(V_x,V_y,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_power__one__over_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_nonzero__minus__divide__right_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_neg__less__0__iff__less_1,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_neg__less__0__iff__less_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oidom(T_a)
% 7.04/7.25      | ~ class_Int_Onumber__ring(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oidom(T_a)
% 7.04/7.25      | ~ class_Int_Onumber__ring(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_arctan__minus_0,axiom,
% 7.04/7.25      c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(V_x),tc_RealDef_Oreal) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_abs__triangle__ineq3_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_abs__mult__less_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_norm__inverse_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 7.04/7.25      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_diff__add__cancel_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.25      | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inverse__inverse__eq_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__sqrt__lt__0__iff_0,axiom,
% 7.04/7.25      ( c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__sqrt__lt__0__iff_1,axiom,
% 7.04/7.25      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inf__sup__distrib2_0,axiom,
% 7.04/7.25      ( ~ class_Lattices_Odistrib__lattice(T_a)
% 7.04/7.25      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inf__sup__distrib1_0,axiom,
% 7.04/7.25      ( ~ class_Lattices_Odistrib__lattice(T_a)
% 7.04/7.25      | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_class__semiring_Omul__c_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.25      | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__mult__commute_0,axiom,
% 7.04/7.25      c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.25      | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_neg__0__le__iff__le_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.25      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_neg__0__le__iff__le_1,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mult_OscaleR__left_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.25      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_a,T_a),V_b,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mult__left_OscaleR_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.25      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mult_OscaleR__right_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.25      | c_HOL_Otimes__class_Otimes(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mult__right_OscaleR_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.25      | c_HOL_Otimes__class_Otimes(V_xa,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mult__scaleR__left_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__algebra(T_a)
% 7.04/7.25      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mult__scaleR__right_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__algebra(T_a)
% 7.04/7.25      | c_HOL_Otimes__class_Otimes(V_x,c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_nonzero__abs__inverse_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_power__one_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 7.04/7.25      | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_nonzero__abs__divide_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inverse__positive__imp__positive_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.25      | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mod__diff__left__eq_0,axiom,
% 7.04/7.25      ( ~ class_Divides_Oring__div(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mod__diff__right__eq_0,axiom,
% 7.04/7.25      ( ~ class_Divides_Oring__div(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mult__exp__exp_0,axiom,
% 7.04/7.25      ( ~ class_SEQ_Obanach(T_a)
% 7.04/7.25      | ~ class_RealVector_Oreal__normed__field(T_a)
% 7.04/7.25      | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(V_x,T_a),c_Transcendental_Oexp(V_y,T_a),T_a) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_add__cancel__21_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mult__le__prts_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Olordered__ring(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a2,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_b2,T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a1,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_b2,T_a),T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a2,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_b1,T_a),T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a1,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_b1,T_a),T_a),T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(V_b,V_b2,T_a)
% 7.04/7.25      | ~ c_lessequals(V_b1,V_b,T_a)
% 7.04/7.25      | ~ c_lessequals(V_a,V_a2,T_a)
% 7.04/7.25      | ~ c_lessequals(V_a1,V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__sgn__def_2,axiom,
% 7.04/7.25      ( c_HOL_Osgn__class_Osgn(V_x,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 7.04/7.25      | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_sgn__if_2,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Osgn__if(T_a)
% 7.04/7.25      | c_HOL_Osgn__class_Osgn(V_x,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 7.04/7.25      | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__sqrt__eq__zero__cancel_0,axiom,
% 7.04/7.25      ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 7.04/7.25      | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_nprt__neg_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.25      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_x,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_le__zero__iff__pprt__id_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.25      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a) = V_a
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_le__zero__iff__pprt__id_1,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.25      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a) != V_a
% 7.04/7.25      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inverse__less__imp__less_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.25      | ~ 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_less__imp__inverse__less_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inverse__less__imp__less__neg_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_less__imp__inverse__less__neg_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_zero__le__power__abs_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_add__nonneg__nonneg_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__sqrt__le__iff_1,axiom,
% 7.04/7.25      ( c_lessequals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__sqrt__le__iff_0,axiom,
% 7.04/7.25      ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_exp__zero_0,axiom,
% 7.04/7.25      ( ~ class_SEQ_Obanach(T_a)
% 7.04/7.25      | ~ class_RealVector_Oreal__normed__field(T_a)
% 7.04/7.25      | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_divide_OscaleR_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__normed__field(T_a)
% 7.04/7.25      | c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_add__mono_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ c_lessequals(V_c,V_d,T_a)
% 7.04/7.25      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_powr__less__cancel__iff_1,axiom,
% 7.04/7.25      ( c_HOL_Oord__class_Oless(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_powr__less__cancel__iff_0,axiom,
% 7.04/7.25      ( c_HOL_Oord__class_Oless(V_a,V_b,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_powr__less__cancel_0,axiom,
% 7.04/7.25      ( c_HOL_Oord__class_Oless(V_a,V_b,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_powr__less__mono_0,axiom,
% 7.04/7.25      ( c_HOL_Oord__class_Oless(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inverse__nonnegative__iff__nonnegative_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inverse__nonnegative__iff__nonnegative_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_sup__eq__if_0,axiom,
% 7.04/7.25      ( ~ class_Orderings_Olinorder(T_a)
% 7.04/7.25      | ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.25      | c_Lattices_Oupper__semilattice__class_Osup(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inf__0__imp__0_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.25      | c_Lattices_Olower__semilattice__class_Oinf(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.25      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_powr__le__cancel__iff_1,axiom,
% 7.04/7.25      ( c_lessequals(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_lessequals(V_a,V_b,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_powr__le__cancel__iff_0,axiom,
% 7.04/7.25      ( c_lessequals(V_a,V_b,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_lessequals(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_divide__less__0__1__iff_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_divide__less__0__1__iff_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_DERIV__mult__lemma_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__field(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mod__mod__trivial_0,axiom,
% 7.04/7.25      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_div__self_0,axiom,
% 7.04/7.25      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.25      | c_Divides_Odiv__class_Odiv(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 7.04/7.25      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_abs__diff__triangle__ineq_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_add__strict__increasing_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 7.04/7.25      | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(V_b,V_c,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_powr__mult_0,axiom,
% 7.04/7.25      ( c_Log_Opowr(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal),V_a) = c_HOL_Otimes__class_Otimes(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_y,V_a),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_powr__one__gt__zero__iff_1,axiom,
% 7.04/7.25      ( c_Log_Opowr(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = V_x
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_powr__one__gt__zero__iff_0,axiom,
% 7.04/7.25      ( c_Log_Opowr(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) != V_x
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_arctan__monotone_0,axiom,
% 7.04/7.25      ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(V_x),c_Transcendental_Oarctan(V_y),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_zero__le__power__iff_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_zero__le__power_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_le__minus__self__iff_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.25      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_le__minus__self__iff_1,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.25      | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_minus__le__self__iff_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_minus__le__self__iff_1,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_less__eq__neg__nonpos_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 7.04/7.25      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_less__eq__neg__nonpos_1,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 7.04/7.25      | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_neg__less__eq__nonneg_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_neg__less__eq__nonneg_1,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_eq__add__iff1_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oring(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_sgn__of__real_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
% 7.04/7.25      | c_HOL_Osgn__class_Osgn(c_RealVector_Oof__real(V_r,T_a),T_a) = c_RealVector_Oof__real(c_HOL_Osgn__class_Osgn(V_r,tc_RealDef_Oreal),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_dvd__mult__cancel__left_2,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oidom(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_dvd__mult__cancel__right_2,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oidom(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_one__le__power_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_abs__idempotent_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_eq__add__iff1_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oring(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | 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 ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_eq__add__iff2_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oring(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_div__mod__equality_0,axiom,
% 7.04/7.25      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_div__mod__equality2_0,axiom,
% 7.04/7.25      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_zero__less__abs__iff_1,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)
% 7.04/7.25      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_norm__minus__cancel_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.25      | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_RealVector_Onorm__class_Onorm(V_x,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__sqrt__minus_0,axiom,
% 7.04/7.25      c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_le__zero__iff__zero__pprt_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.25      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.25      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_le__zero__iff__zero__pprt_1,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.25      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.25      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_scaleR_OscaleR__right_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.25      | c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_scaleR__left__commute_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__vector(T_a)
% 7.04/7.25      | c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_b,c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_scaleR__right_OscaleR_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.25      | c_RealVector_OscaleR__class_OscaleR(V_ra,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_ra,V_x,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_not__real__square__gt__zero_1,axiom,
% 7.04/7.25      ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mult__ge__prts_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Olordered__ring(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a1,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_b2,T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a2,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_b2,T_a),T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a1,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_b1,T_a),T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a2,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_b1,T_a),T_a),T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(V_b,V_b2,T_a)
% 7.04/7.25      | ~ c_lessequals(V_b1,V_b,T_a)
% 7.04/7.25      | ~ c_lessequals(V_a,V_a2,T_a)
% 7.04/7.25      | ~ c_lessequals(V_a1,V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.25      | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_class__semiring_Oadd__c_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.25      | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 7.04/7.25      | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_divide__le__0__iff_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_divide__le__0__iff_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_divide__le__0__iff_2,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_divide__le__0__iff_3,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.25      | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_power__minus_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oring__1(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inverse__le__imp__le_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | c_lessequals(V_b,V_a,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_le__imp__inverse__le_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.25      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inverse__le__imp__le__neg_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | c_lessequals(V_b,V_a,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_le__imp__inverse__le__neg_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__mult__inverse__cancel_0,axiom,
% 7.04/7.25      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_x1,tc_RealDef_Oreal),V_u,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x1,V_y,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_u,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mod__add__eq_0,axiom,
% 7.04/7.25      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_add__sup__distrib__right_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(T_a)
% 7.04/7.25      | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_add__sup__distrib__left_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(T_a)
% 7.04/7.25      | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_b,V_c,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I4_J_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.25      | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_b,V_c,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I3_J_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.25      | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_sup__idem_0,axiom,
% 7.04/7.25      ( ~ class_Lattices_Oupper__semilattice(T_a)
% 7.04/7.25      | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_xt1_I10_J_0,axiom,
% 7.04/7.25      ( ~ class_Orderings_Oorder(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_order__less__trans_0,axiom,
% 7.04/7.25      ( ~ class_Orderings_Opreorder(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_class__semiring_Oadd__a_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_add__cancel__21_1,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_scaleR__conv__of__real_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 7.04/7.25      | c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(V_r,T_a),V_x,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_abs__triangle__ineq_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_pi__not__less__zero_0,axiom,
% 7.04/7.25      ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_less__le__not__le_1,axiom,
% 7.04/7.25      ( ~ class_Orderings_Opreorder(T_a)
% 7.04/7.25      | ~ c_lessequals(V_y,V_x,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_not__leE_0,axiom,
% 7.04/7.25      ( ~ class_Orderings_Olinorder(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 7.04/7.25      | c_lessequals(V_y,V_x,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_linorder__antisym__conv2_1,axiom,
% 7.04/7.25      ( ~ class_Orderings_Olinorder(T_a)
% 7.04/7.25      | ~ c_lessequals(V_x,V_x,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_linorder__antisym__conv1_1,axiom,
% 7.04/7.25      ( ~ class_Orderings_Olinorder(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 7.04/7.25      | c_lessequals(V_x,V_x,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_linorder__not__less_1,axiom,
% 7.04/7.25      ( ~ class_Orderings_Olinorder(T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 7.04/7.25      | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_linorder__not__less_0,axiom,
% 7.04/7.25      ( ~ class_Orderings_Olinorder(T_a)
% 7.04/7.25      | c_lessequals(V_y,V_x,T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_linorder__not__le_0,axiom,
% 7.04/7.25      ( ~ class_Orderings_Olinorder(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 7.04/7.25      | c_lessequals(V_x,V_y,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_linorder__not__le_1,axiom,
% 7.04/7.25      ( ~ class_Orderings_Olinorder(T_a)
% 7.04/7.25      | ~ c_lessequals(V_x,V_y,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_right__inverse__eq_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.25      | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.25      | c_HOL_Oinverse__class_Odivide(V_x,V_x,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_divide__self_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.25      | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 7.04/7.25      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_divide__self__if_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 7.04/7.25      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mod__add__right__eq_0,axiom,
% 7.04/7.25      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mod__add__left__eq_0,axiom,
% 7.04/7.25      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_zero__le__divide__iff_3,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_zero__le__divide__iff_2,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_zero__le__divide__iff_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_zero__le__divide__iff_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_add__strict__increasing2_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 7.04/7.25      | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_power__mono_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.25      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_eq__eqI_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 7.04/7.25      | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 7.04/7.25      | V_x_H = V_y_H ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_eq__eqI_1,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 7.04/7.25      | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 7.04/7.25      | V_xa = V_y ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inverse__le__1__iff_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a)
% 7.04/7.25      | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_power__less__zero__eq_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_diff__eq_0,axiom,
% 7.04/7.25      ( ~ class_Lattices_Oboolean__algebra(T_a)
% 7.04/7.25      | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_power__le__zero__eq_3,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.25      | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.25      | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mult__right__le__imp__le_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 7.04/7.25      | c_lessequals(V_a,V_b,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.25      | ~ 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mult__left__le__imp__le_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 7.04/7.25      | c_lessequals(V_a,V_b,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.25      | ~ 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ c_lessequals(V_a,V_b,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.25      | c_lessequals(V_a,V_b,T_a)
% 7.04/7.25      | ~ 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)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ c_lessequals(V_b,V_a,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.25      | c_lessequals(V_b,V_a,T_a)
% 7.04/7.25      | ~ 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)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__mult__le__cancel__iff2_1,axiom,
% 7.04/7.25      ( c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__mult__le__cancel__iff2_0,axiom,
% 7.04/7.25      ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__mult__le__cancel__iff1_1,axiom,
% 7.04/7.25      ( c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__mult__le__cancel__iff1_0,axiom,
% 7.04/7.25      ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_sup__left__commute_0,axiom,
% 7.04/7.25      ( ~ class_Lattices_Oupper__semilattice(T_a)
% 7.04/7.25      | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_sup__assoc_0,axiom,
% 7.04/7.25      ( ~ class_Lattices_Oupper__semilattice(T_a)
% 7.04/7.25      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 7.04/7.25      ( ~ class_Lattices_Olattice(T_a)
% 7.04/7.25      | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 7.04/7.25      ( ~ class_Lattices_Olattice(T_a)
% 7.04/7.25      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_minus__divide__divide_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_divide_Ominus_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__normed__field(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mult_Oprod__diff__prod_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__vector_Oscale__scale_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__vector(T_a)
% 7.04/7.25      | c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Otimes__class_Otimes(V_a,V_b,tc_RealDef_Oreal),V_x,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inf__absorb2_0,axiom,
% 7.04/7.25      ( ~ class_Lattices_Olower__semilattice(T_a)
% 7.04/7.25      | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y
% 7.04/7.25      | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_le__iff__inf_1,axiom,
% 7.04/7.25      ( ~ class_Lattices_Olower__semilattice(T_a)
% 7.04/7.25      | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x
% 7.04/7.25      | c_lessequals(V_x,V_y,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_le__iff__inf_0,axiom,
% 7.04/7.25      ( ~ class_Lattices_Olower__semilattice(T_a)
% 7.04/7.25      | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x
% 7.04/7.25      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__sqrt__gt__1__iff_0,axiom,
% 7.04/7.25      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__sqrt__gt__1__iff_1,axiom,
% 7.04/7.25      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_one__le__inverse__iff_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inf__commute_0,axiom,
% 7.04/7.25      ( ~ class_Lattices_Olower__semilattice(T_a)
% 7.04/7.25      | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 7.04/7.25      ( ~ class_Lattices_Olattice(T_a)
% 7.04/7.25      | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_combine__common__factor_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Osemiring(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_eq__neg__iff__add__eq__0_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_ab__left__minus_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_right__minus_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_left__minus_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_add__neg__neg_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.25      | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.25      | ~ 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.25      | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.25      | ~ 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mult__right_Odiff_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mult_Odiff__right_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mult_Odiff__left_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mult__left_Odiff_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_Deriv_Oadd__diff__add_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_sgn__one_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
% 7.04/7.25      | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__sqrt__mult_0,axiom,
% 7.04/7.25      c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inverse__nonpositive__iff__nonpositive_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inverse__nonpositive__iff__nonpositive_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_dvd__div__mult_0,axiom,
% 7.04/7.25      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__sqrt__le__0__iff_0,axiom,
% 7.04/7.25      ( c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__sqrt__le__0__iff_1,axiom,
% 7.04/7.25      ( c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inverse__eq__1__iff_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_HOL_Oinverse__class_Oinverse(V_x,T_a) != c_HOL_Oone__class_Oone(T_a)
% 7.04/7.25      | V_x = c_HOL_Oone__class_Oone(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inverse__less__1__iff_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a)
% 7.04/7.25      | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_powr__less__mono2_0,axiom,
% 7.04/7.25      ( c_HOL_Oord__class_Oless(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_y,V_a),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_a,tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_powr__less__mono2__neg_0,axiom,
% 7.04/7.25      ( c_HOL_Oord__class_Oless(c_Log_Opowr(V_y,V_a),c_Log_Opowr(V_x,V_a),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_power__abs_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_dvd__power__same_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_abs__diff__less__iff_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a)
% 7.04/7.25      | ~ 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_abs__inverse_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_abs__divide_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__mult__inverse__cancel2_0,axiom,
% 7.04/7.25      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_y,c_HOL_Oinverse__class_Oinverse(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_u,c_HOL_Oinverse__class_Oinverse(V_x1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x1,V_y,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_u,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mod__div__trivial_0,axiom,
% 7.04/7.25      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mod__minus__cong_0,axiom,
% 7.04/7.25      ( ~ class_Divides_Oring__div(T_a)
% 7.04/7.25      | c_Divides_Odiv__class_Omod(V_a,V_b,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_b,T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_norm__mult_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 7.04/7.25      | c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_nprt__le__zero_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.25      | c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mod__mult__eq_0,axiom,
% 7.04/7.25      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_power__commutes_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_powr__zero__eq__one_0,axiom,
% 7.04/7.25      c_Log_Opowr(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_div__mult__self1_0,axiom,
% 7.04/7.25      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_div__mult__self2_0,axiom,
% 7.04/7.25      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_divide__less__eq_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_divide__less__eq_4,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_divide__less__eq_5,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_divide__less__eq_7,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_less__divide__eq_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_less__divide__eq_4,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_less__divide__eq_5,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_less__divide__eq_7,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inverse__le__1__iff_2,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_abs__ge__minus__self_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_abs__ge__self_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.25      | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_less__add__iff1_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_less__add__iff1_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_less__add__iff2_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_less__add__iff2_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_eq__divide__eq_4,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mod__add__cong_0,axiom,
% 7.04/7.25      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.25      | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 7.04/7.25      | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_zero__less__power_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_minus__unique_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.25      | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.25      | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_eq__neg__iff__add__eq__0_1,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.25      | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.25      | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_div__power_0,axiom,
% 7.04/7.25      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_not__one__less__zero_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_abs__less__iff_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oidom(T_a)
% 7.04/7.25      | ~ class_Int_Onumber__ring(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | V_c = V_d
% 7.04/7.25      | V_a = V_b ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oidom(T_a)
% 7.04/7.25      | ~ class_Int_Onumber__ring(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | V_y = V_z
% 7.04/7.25      | V_w = V_x ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_abs__mult__self_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_nonzero__power__inverse_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_nonzero__inverse__minus__eq_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mod__mult__cong_0,axiom,
% 7.04/7.25      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.25      | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 7.04/7.25      | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__sqrt__ge__1__iff_1,axiom,
% 7.04/7.25      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__sqrt__ge__1__iff_0,axiom,
% 7.04/7.25      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__sqrt__ge__one_0,axiom,
% 7.04/7.25      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_add__frac__eq_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.25      | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_divide__eq__eq_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a)
% 7.04/7.25      | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_eq__divide__eq_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b
% 7.04/7.25      | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_zero__le__one_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_abs__power__minus_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_powr__powr_0,axiom,
% 7.04/7.25      c_Log_Opowr(c_Log_Opowr(V_x,V_a),V_b) = c_Log_Opowr(V_x,c_HOL_Otimes__class_Otimes(V_a,V_b,tc_RealDef_Oreal)) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_Bseq__inverse__lemma_0,axiom,
% 7.04/7.25      ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 7.04/7.25      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_r,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_r,tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_lessequals(V_r,c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__sqrt__lt__1__iff_1,axiom,
% 7.04/7.25      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__sqrt__lt__1__iff_0,axiom,
% 7.04/7.25      ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mod__by__1_0,axiom,
% 7.04/7.25      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.25      | c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_abs__mult__pos_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_one__le__inverse__iff_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_abs__dvd__iff_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.25      | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)
% 7.04/7.25      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_abs__dvd__iff_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.25      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a)
% 7.04/7.25      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_dvd__abs__iff_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.25      | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)
% 7.04/7.25      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_dvd__abs__iff_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.25      | c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a)
% 7.04/7.25      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_linorder__neq__iff_1,axiom,
% 7.04/7.25      ( ~ class_Orderings_Olinorder(T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_order__less__le_1,axiom,
% 7.04/7.25      ( ~ class_Orderings_Oorder(T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_real__less__def_1,axiom,
% 7.04/7.25      ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_order__less__irrefl_0,axiom,
% 7.04/7.25      ( ~ class_Orderings_Opreorder(T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_less__le__not__le_2,axiom,
% 7.04/7.25      ( ~ class_Orderings_Opreorder(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 7.04/7.25      | c_lessequals(V_y,V_x,T_a)
% 7.04/7.25      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_sup__inf__absorb_0,axiom,
% 7.04/7.25      ( ~ class_Lattices_Olattice(T_a)
% 7.04/7.25      | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_add__pos__pos_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_not__one__le__zero_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inverse__negative__iff__negative_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_inverse__negative__iff__negative_1,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_negative__imp__inverse__negative_0,axiom,
% 7.04/7.25      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.25      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_mod__diff__cong_0,axiom,
% 7.04/7.25      ( ~ class_Divides_Oring__div(T_a)
% 7.04/7.25      | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 7.04/7.25      | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 7.04/7.25      | 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) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_le__iff__diff__le__0_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.25      | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.25      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_le__iff__diff__le__0_1,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.25      | c_lessequals(V_a,V_b,T_a)
% 7.04/7.25      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.25  
% 7.04/7.25  cnf(cls_add__strict__mono_0,axiom,
% 7.04/7.25      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 7.04/7.25      | 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)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 7.04/7.25      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_order__le__less_1,axiom,
% 7.04/7.26      ( ~ class_Orderings_Oorder(T_a)
% 7.04/7.26      | c_lessequals(V_x,V_y,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__less__def_0,axiom,
% 7.04/7.26      ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_order__less__imp__le_0,axiom,
% 7.04/7.26      ( ~ class_Orderings_Opreorder(T_a)
% 7.04/7.26      | c_lessequals(V_x,V_y,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_le__iff__sup_0,axiom,
% 7.04/7.26      ( ~ class_Lattices_Oupper__semilattice(T_a)
% 7.04/7.26      | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 7.04/7.26      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_le__iff__sup_1,axiom,
% 7.04/7.26      ( ~ class_Lattices_Oupper__semilattice(T_a)
% 7.04/7.26      | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 7.04/7.26      | c_lessequals(V_x,V_y,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sup__absorb1_0,axiom,
% 7.04/7.26      ( ~ class_Lattices_Oupper__semilattice(T_a)
% 7.04/7.26      | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 7.04/7.26      | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_add__cancel__end_1,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 7.04/7.26      | 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 ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_minus__add__cancel_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.26      | 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 ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__inverse__gt__one_0,axiom,
% 7.04/7.26      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_inverse__eq__1__iff_1,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_one__less__inverse__iff_2,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_inverse__1_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 7.04/7.26      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_zero__le__divide__iff_4,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 7.04/7.26      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.26      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_zero__le__divide__iff_5,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 7.04/7.26      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_nonzero__of__real__inverse_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__div__algebra(T_a)
% 7.04/7.26      | c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(V_x,tc_RealDef_Oreal),T_a) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(V_x,T_a),T_a)
% 7.04/7.26      | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_frac__le_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_lessequals(V_w,V_z,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 7.04/7.26      | ~ c_lessequals(V_x,V_y,T_a)
% 7.04/7.26      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_cos__minus_0,axiom,
% 7.04/7.26      c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_Transcendental_Ocos(V_x) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_less__iff__diff__less__0_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_less__iff__diff__less__0_1,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 7.04/7.26      | ~ 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_abs__not__less__zero_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_zero__less__one_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide__strict__left__mono_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide__strict__left__mono__neg_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_powr__ge__pzero_0,axiom,
% 7.04/7.26      c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(V_x,V_y),tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_abs__of__pos_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.26      | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_positive__imp__inverse__positive_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_inverse__positive__iff__positive_1,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_inverse__positive__iff__positive_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mod__mult__right__eq_0,axiom,
% 7.04/7.26      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mod__mult__left__eq_0,axiom,
% 7.04/7.26      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_scaleR__right_Oadd_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__vector(T_a)
% 7.04/7.26      | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_scaleR_Oadd__right_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.26      | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b_H,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_inf__eq__neg__sup_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.26      | c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sup__commute_0,axiom,
% 7.04/7.26      ( ~ class_Lattices_Oupper__semilattice(T_a)
% 7.04/7.26      | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 7.04/7.26      ( ~ class_Lattices_Olattice(T_a)
% 7.04/7.26      | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_neg__inf__eq__sup_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.26      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_compl__inf_0,axiom,
% 7.04/7.26      ( ~ class_Lattices_Oboolean__algebra(T_a)
% 7.04/7.26      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide__less__0__iff_3,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | ~ 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide__less__0__iff_2,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | ~ 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide__less__0__iff_1,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.26      | ~ 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide__less__0__iff_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.26      | ~ 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__minus__mult__self__le_0,axiom,
% 7.04/7.26      c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_u,V_u,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_add__cancel__end_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 7.04/7.26      | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y
% 7.04/7.26      | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__divide__mult__cancel__right_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__divide__mult__cancel__left_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sup__left__idem_0,axiom,
% 7.04/7.26      ( ~ class_Lattices_Oupper__semilattice(T_a)
% 7.04/7.26      | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 7.04/7.26      ( ~ class_Lattices_Olattice(T_a)
% 7.04/7.26      | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_exp__add_0,axiom,
% 7.04/7.26      ( ~ class_SEQ_Obanach(T_a)
% 7.04/7.26      | ~ class_RealVector_Oreal__normed__field(T_a)
% 7.04/7.26      | c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(V_x,T_a),c_Transcendental_Oexp(V_y,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__sqrt__less__iff_0,axiom,
% 7.04/7.26      ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__sqrt__less__iff_1,axiom,
% 7.04/7.26      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__frac__num_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__mult__is__one_1,axiom,
% 7.04/7.26      c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_dvd__mult__div__cancel_0,axiom,
% 7.04/7.26      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.26      | c_HOL_Otimes__class_Otimes(V_a,c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),T_a) = V_b
% 7.04/7.26      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_dvd__div__mult__self_0,axiom,
% 7.04/7.26      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.26      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),V_a,T_a) = V_b
% 7.04/7.26      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_dist__le__zero__iff_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Ometric__space(T_a)
% 7.04/7.26      | V_x = V_y
% 7.04/7.26      | ~ c_lessequals(c_RealVector_Odist__class_Odist(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_abs__of__nonpos_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.26      | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 7.04/7.26      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__strict__right__mono_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__strict__left__mono_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 7.04/7.26      | ~ 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 7.04/7.26      | ~ 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__mult__less__mono2_0,axiom,
% 7.04/7.26      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__mult__less__iff1_1,axiom,
% 7.04/7.26      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__mult__less__iff1_0,axiom,
% 7.04/7.26      ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_norm__minus__commute_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.26      | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_diff__minus__eq__add_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mod__mult__self2_0,axiom,
% 7.04/7.26      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mod__mult__self1_0,axiom,
% 7.04/7.26      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_dvd__mult__cancel__right_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oidom(T_a)
% 7.04/7.26      | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 7.04/7.26      | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | ~ 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_dvd__mult__cancel__left_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oidom(T_a)
% 7.04/7.26      | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 7.04/7.26      | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | ~ 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_le__divide__eq_9,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 7.04/7.26      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 7.04/7.26      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_le__divide__eq_3,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 7.04/7.26      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_le__divide__eq_2,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.26      | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide__le__eq_9,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 7.04/7.26      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.26      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 7.04/7.26      | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide__le__eq_3,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 7.04/7.26      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide__le__eq_2,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.26      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_id__apply_0,axiom,
% 7.04/7.26      c_Fun_Oid(V_x,T_a) = V_x ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_add__diff__cancel_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.26      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_add__divide__distrib_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide_Oadd_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__field(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_abs__diff__less__iff_2,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_less__1__mult_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_minus__equation__iff_1,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.26      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_equation__minus__iff_1,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.26      | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_equation__minus__iff_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.26      | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_double__compl_0,axiom,
% 7.04/7.26      ( ~ class_Lattices_Oboolean__algebra(T_a)
% 7.04/7.26      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_minus__minus_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.26      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_div__by__1_0,axiom,
% 7.04/7.26      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.26      | c_Divides_Odiv__class_Odiv(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_minus__diff__eq_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_add__less__le__mono_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_lessequals(V_c,V_d,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_add__le__less__mono_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 7.04/7.26      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_minus__less__iff_1,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_minus__less__iff_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_less__minus__iff_1,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_less__minus__iff_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_minus__le__iff_1,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.26      | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 7.04/7.26      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_minus__le__iff_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.26      | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 7.04/7.26      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_le__minus__iff_1,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.26      | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 7.04/7.26      | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_le__minus__iff_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.26      | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 7.04/7.26      | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_eq__divide__eq_2,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_scaleR__cancel__right_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__vector(T_a)
% 7.04/7.26      | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a)
% 7.04/7.26      | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_a = V_b ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_scaleR__cancel__right_1,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__vector(T_a)
% 7.04/7.26      | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_abs__eq__0_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.26      | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_neg__equal__zero_1,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 7.04/7.26      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_minus__zero_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.26      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_inverse__zero__imp__zero_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 7.04/7.26      | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_inverse__nonzero__iff__nonzero_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_neg__0__equal__iff__equal_1,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.26      | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sgn__0__0_1,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.26      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sgn0_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Osgn__if(T_a)
% 7.04/7.26      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sgn__zero_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.26      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__eq__0__iff_2,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 7.04/7.26      | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__eq__0__iff_1,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 7.04/7.26      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__zero__right_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 7.04/7.26      | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__le__less__imp__less_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 7.04/7.26      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__less__le__imp__less_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.26      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 7.04/7.26      | ~ c_lessequals(V_c,V_d,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_power__inject__exp_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 7.04/7.26      | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 7.04/7.26      | V_m = V_n ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sgn__neg_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.26      | c_HOL_Osgn__class_Osgn(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sgn__1__neg_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.26      | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_minus__mult__commute_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oring(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_abs__triangle__ineq4_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sgn__scaleR_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.26      | c_HOL_Osgn__class_Osgn(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Osgn__class_Osgn(V_r,tc_RealDef_Oreal),c_HOL_Osgn__class_Osgn(V_x,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__sqrt__one_0,axiom,
% 7.04/7.26      c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide__inverse_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_class__fieldgb_Odivide__inverse_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.26      | ~ class_Int_Onumber__ring(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 7.04/7.26      ( ~ class_Lattices_Olattice(T_a)
% 7.04/7.26      | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_inf__left__idem_0,axiom,
% 7.04/7.26      ( ~ class_Lattices_Olower__semilattice(T_a)
% 7.04/7.26      | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_zero__le__iff__nprt__id_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.26      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a) = V_a
% 7.04/7.26      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_zero__le__iff__nprt__id_1,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.26      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a) != V_a
% 7.04/7.26      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mod__mod__cancel_0,axiom,
% 7.04/7.26      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_zero__less__divide__1__iff_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.26      | ~ 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_zero__less__divide__1__iff_1,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_tan__pi_0,axiom,
% 7.04/7.26      c_Transcendental_Otan(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.26      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.26      | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_abs__if__lattice_1,axiom,
% 7.04/7.26      ( ~ class_Orderings_Olinorder(T_a)
% 7.04/7.26      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 7.04/7.26      | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_abs__if_1,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 7.04/7.26      | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_Lim_Ominus__diff__minus_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_nonzero__power__divide_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__dvd__mono_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a)
% 7.04/7.26      | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_abs__add__abs_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide__le__eq_1,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.26      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide__le__eq_4,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_le__divide__eq_1,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.26      | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_le__divide__eq_4,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_inf__idem_0,axiom,
% 7.04/7.26      ( ~ class_Lattices_Olower__semilattice(T_a)
% 7.04/7.26      | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_zero__less__abs__iff_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.26      | ~ 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_pi__ge__zero_0,axiom,
% 7.04/7.26      c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide__neg__pos_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide__pos__neg_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide__less__0__iff_4,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide__less__0__iff_5,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_add__less__cancel__left_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 7.04/7.26      | ~ 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_add__less__cancel__left_1,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_add__strict__left__mono_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_add__less__cancel__right_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 7.04/7.26      | ~ 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_add__less__cancel__right_1,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_add__strict__right__mono_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_order__eq__refl_0,axiom,
% 7.04/7.26      ( ~ class_Orderings_Opreorder(T_a)
% 7.04/7.26      | c_lessequals(V_x,V_x,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_order__eq__iff_0,axiom,
% 7.04/7.26      ( ~ class_Orderings_Oorder(T_a)
% 7.04/7.26      | c_lessequals(V_x,V_x,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__le__trans_0,axiom,
% 7.04/7.26      ( c_lessequals(V_i,V_k,tc_RealDef_Oreal)
% 7.04/7.26      | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal)
% 7.04/7.26      | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__le__refl_0,axiom,
% 7.04/7.26      c_lessequals(V_w,V_w,tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_order__le__less__trans_0,axiom,
% 7.04/7.26      ( ~ class_Orderings_Opreorder(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 7.04/7.26      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_order__less__le__trans_0,axiom,
% 7.04/7.26      ( ~ class_Orderings_Opreorder(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 7.04/7.26      | ~ c_lessequals(V_y,V_z,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_le__add__right__mono_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.26      | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 7.04/7.26      | ~ c_lessequals(V_c,V_d,T_a)
% 7.04/7.26      | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_order__trans_0,axiom,
% 7.04/7.26      ( ~ class_Orderings_Opreorder(T_a)
% 7.04/7.26      | c_lessequals(V_x,V_z,T_a)
% 7.04/7.26      | ~ c_lessequals(V_y,V_z,T_a)
% 7.04/7.26      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_add__nonpos__nonpos_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 7.04/7.26      | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_xt1_I8_J_0,axiom,
% 7.04/7.26      ( ~ class_Orderings_Oorder(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 7.04/7.26      | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_xt1_I7_J_0,axiom,
% 7.04/7.26      ( ~ class_Orderings_Oorder(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 7.04/7.26      | ~ c_lessequals(V_z,V_y,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_xt1_I6_J_0,axiom,
% 7.04/7.26      ( ~ class_Orderings_Oorder(T_a)
% 7.04/7.26      | c_lessequals(V_z,V_x,T_a)
% 7.04/7.26      | ~ c_lessequals(V_z,V_y,T_a)
% 7.04/7.26      | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_inverse__less__1__iff_2,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mod__mult__self1__is__0_0,axiom,
% 7.04/7.26      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mod__mult__self2__is__0_0,axiom,
% 7.04/7.26      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_exp__minus_0,axiom,
% 7.04/7.26      ( ~ class_SEQ_Obanach(T_a)
% 7.04/7.26      | ~ class_RealVector_Oreal__normed__field(T_a)
% 7.04/7.26      | c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(V_x,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_division__ring__inverse__diff_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 7.04/7.26      | 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)
% 7.04/7.26      | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_powr__one__eq__one_0,axiom,
% 7.04/7.26      c_Log_Opowr(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_a) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_semiring__div__class_Omod__div__equality_H_0,axiom,
% 7.04/7.26      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.26      | 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 ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_norm__ratiotest__lemma_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.26      | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Otimes__class_Otimes(V_c,c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 7.04/7.26      | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.26      | ~ 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 7.04/7.26      | ~ 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 7.04/7.26      | ~ 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 7.04/7.26      | ~ 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_abs__diff__less__iff_1,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)
% 7.04/7.26      | ~ 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__mult__is__one_2,axiom,
% 7.04/7.26      c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_not__real__square__gt__zero_0,axiom,
% 7.04/7.26      ( V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sup__eq__neg__inf_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.26      | c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_neg__0__less__iff__less_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_neg__0__less__iff__less_1,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_pi__gt__zero_0,axiom,
% 7.04/7.26      c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_frac__eq__eq_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.26      | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) != c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a)
% 7.04/7.26      | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) = c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_frac__eq__eq_1,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.26      | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) != c_HOL_Otimes__class_Otimes(V_w,V_y,T_a)
% 7.04/7.26      | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sgn__mult_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 7.04/7.26      | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_x,T_a),c_HOL_Osgn__class_Osgn(V_y,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sgn__times_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.26      | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Osgn__class_Osgn(V_b,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_dist__norm_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Odist__norm(T_a)
% 7.04/7.26      | c_RealVector_Odist__class_Odist(V_x,V_y,T_a) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mod__mult__mult1_0,axiom,
% 7.04/7.26      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mod__mult__mult2_0,axiom,
% 7.04/7.26      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_less__minus__self__iff_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_less__minus__self__iff_1,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_abs__ge__zero_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.26      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide__eq__eq_4,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__sgn__pos_0,axiom,
% 7.04/7.26      ( c_HOL_Osgn__class_Osgn(V_x,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sgn__pos_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.26      | c_HOL_Osgn__class_Osgn(V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sgn__1__pos_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.26      | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Oone__class_Oone(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__sqrt__inverse_0,axiom,
% 7.04/7.26      c_NthRoot_Osqrt(c_HOL_Oinverse__class_Oinverse(V_x,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Oinverse(c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_dvd__if__abs__eq_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.26      | c_HOL_Oabs__class_Oabs(V_l,T_a) != c_HOL_Oabs__class_Oabs(V_k,T_a)
% 7.04/7.26      | c_Ring__and__Field_Odvd__class_Odvd(V_l,V_k,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_minus__add_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_minus__add__distrib_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_order__less__asym_H_0,axiom,
% 7.04/7.26      ( ~ class_Orderings_Opreorder(T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_order__less__asym_0,axiom,
% 7.04/7.26      ( ~ class_Orderings_Opreorder(T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_linorder__linear_0,axiom,
% 7.04/7.26      ( ~ class_Orderings_Olinorder(T_a)
% 7.04/7.26      | c_lessequals(V_y,V_x,T_a)
% 7.04/7.26      | c_lessequals(V_x,V_y,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__le__linear_0,axiom,
% 7.04/7.26      ( c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 7.04/7.26      | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 7.04/7.26      ( ~ class_Orderings_Olinorder(T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_xt1_I9_J_0,axiom,
% 7.04/7.26      ( ~ class_Orderings_Oorder(T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__zero__left_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 7.04/7.26      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_class__semiring_Omul__0_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.26      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__right_Ozero_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.26      | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult_Ozero__right_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.26      | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult_Ozero__left_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.26      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__left_Ozero_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 7.04/7.26      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.26      | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.26      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_dvd__0__right_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.26      | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mod__self_0,axiom,
% 7.04/7.26      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.26      | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mod__by__0_0,axiom,
% 7.04/7.26      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.26      | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_zero__neq__one_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 7.04/7.26      | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_nonzero__inverse__inverse__eq_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 7.04/7.26      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a
% 7.04/7.26      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_dvd__0__left_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.26      | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide__self__if_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_neg__equal__zero_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 7.04/7.26      | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a
% 7.04/7.26      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_inverse__zero_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_inverse__nonzero__iff__nonzero_1,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_nonzero__inverse__eq__imp__eq_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 7.04/7.26      | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 7.04/7.26      | V_a = V_b
% 7.04/7.26      | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_nprt__0_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.26      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_field__power__not__zero_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 7.04/7.26      | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_power__eq__0__iff_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Omult__zero(T_a)
% 7.04/7.26      | ~ class_Power_Opower(T_a)
% 7.04/7.26      | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_neg__equal__0__iff__equal_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.26      | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_one__neq__zero_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 7.04/7.26      | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mult__eq__0__iff_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 7.04/7.26      | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_no__zero__divisors_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 7.04/7.26      | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_no__zero__divirors__neq0_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 7.04/7.26      | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_div__by__0_0,axiom,
% 7.04/7.26      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.26      | c_Divides_Odiv__class_Odiv(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_div__0_0,axiom,
% 7.04/7.26      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.26      | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_double__eq__0__iff_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.26      | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 7.04/7.26      | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_right__minus__eq_1,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.26      | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_diff__0__right_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.26      | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_diff__self_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.26      | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oidom(T_a)
% 7.04/7.26      | ~ class_Int_Onumber__ring(T_a)
% 7.04/7.26      | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oidom(T_a)
% 7.04/7.26      | ~ class_Int_Onumber__ring(T_a)
% 7.04/7.26      | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 7.04/7.26      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_pprt__0_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.26      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_mod__0_0,axiom,
% 7.04/7.26      ( ~ class_Divides_Osemiring__div(T_a)
% 7.04/7.26      | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_double__eq__0__iff_1,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 7.04/7.26      | 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) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_abs__eq__0_1,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 7.04/7.26      | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_neg__0__equal__iff__equal_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.26      | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 7.04/7.26      | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_scaleR_Ozero__right_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.26      | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_scaleR__eq__0__iff_2,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__vector(T_a)
% 7.04/7.26      | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 7.04/7.26      | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_a = V_b ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_right__minus__eq_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 7.04/7.26      | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_a = V_b ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oidom(T_a)
% 7.04/7.26      | ~ class_Int_Onumber__ring(T_a)
% 7.04/7.26      | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_x = V_y ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide__zero__left_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.26      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide__eq__eq_1,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide__zero_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ofield(T_a)
% 7.04/7.26      | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 7.04/7.26      | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_divide_Ozero_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__field(T_a)
% 7.04/7.26      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sgn__0__0_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 7.04/7.26      | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sgn__zero__iff_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.26      | c_HOL_Osgn__class_Osgn(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_exp__not__eq__zero_0,axiom,
% 7.04/7.26      ( ~ class_SEQ_Obanach(T_a)
% 7.04/7.26      | ~ class_RealVector_Oreal__normed__field(T_a)
% 7.04/7.26      | c_Transcendental_Oexp(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 7.04/7.26      | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_add__0__left_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 7.04/7.26      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 7.04/7.26      | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Oidom(T_a)
% 7.04/7.26      | ~ class_Int_Onumber__ring(T_a)
% 7.04/7.26      | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_class__semiring_Oadd__0_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.26      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 7.04/7.26      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.26      | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 7.04/7.26      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 7.04/7.26      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_norm__sgn_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.26      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_zero__less__norm__iff_1,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.26      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal)
% 7.04/7.26      | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_zero__less__norm__iff_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_norm__le__zero__iff_1,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.26      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_norm__le__zero__iff_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.26      | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_scaleR__cancel__left_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__vector(T_a)
% 7.04/7.26      | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a)
% 7.04/7.26      | V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 7.04/7.26      | V_x = V_y ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_scaleR__cancel__left_1,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__vector(T_a)
% 7.04/7.26      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,T_a) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__sgn__def_0,axiom,
% 7.04/7.26      c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_powr__not__zero_0,axiom,
% 7.04/7.26      c_Log_Opowr(V_x,V_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__mult__right__cancel_0,axiom,
% 7.04/7.26      ( c_HOL_Otimes__class_Otimes(V_a,V_c,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_b,V_c,tc_RealDef_Oreal)
% 7.04/7.26      | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 7.04/7.26      | V_a = V_b ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__mult__left__cancel_0,axiom,
% 7.04/7.26      ( c_HOL_Otimes__class_Otimes(V_c,V_a,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_c,V_b,tc_RealDef_Oreal)
% 7.04/7.26      | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 7.04/7.26      | V_a = V_b ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_tan__zero_0,axiom,
% 7.04/7.26      c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__sqrt__eq__0__iff_0,axiom,
% 7.04/7.26      ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 7.04/7.26      | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_pi__neq__zero_0,axiom,
% 7.04/7.26      c_Transcendental_Opi != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__zero__not__eq__one_0,axiom,
% 7.04/7.26      c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__sqrt__zero_0,axiom,
% 7.04/7.26      c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_INVERSE__ZERO_0,axiom,
% 7.04/7.26      c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_arctan__zero__zero_0,axiom,
% 7.04/7.26      c_Transcendental_Oarctan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_real__root__zero_0,axiom,
% 7.04/7.26      c_NthRoot_Oroot(V_n,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_dist__self_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Ometric__space(T_a)
% 7.04/7.26      | c_RealVector_Odist__class_Odist(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_dist__eq__0__iff_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Ometric__space(T_a)
% 7.04/7.26      | c_RealVector_Odist__class_Odist(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 7.04/7.26      | V_x = V_y ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_pprt__def__raw_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
% 7.04/7.26      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a) = c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_nprt__def__raw_0,axiom,
% 7.04/7.26      ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
% 7.04/7.26      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(v_x,t_a) = c_Lattices_Olower__semilattice__class_Oinf(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sin__gt__zero__pi_0,axiom,
% 7.04/7.26      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(V_x),tc_RealDef_Oreal)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)
% 7.04/7.26      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_cos__one__sin__zero_0,axiom,
% 7.04/7.26      ( c_Transcendental_Ocos(V_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 7.04/7.26      | c_Transcendental_Osin(V_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sin__ge__zero_0,axiom,
% 7.04/7.26      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(V_x),tc_RealDef_Oreal)
% 7.04/7.26      | ~ c_lessequals(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)
% 7.04/7.26      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sin__minus_0,axiom,
% 7.04/7.26      c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_id__def_0,axiom,
% 7.04/7.26      c_Fun_Oid(v_x,t_a) = v_x ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_norm__zero_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.26      | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_scaleR__eq__0__iff_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__vector(T_a)
% 7.04/7.26      | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_of__real__eq__0__iff_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 7.04/7.26      | c_RealVector_Oof__real(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 7.04/7.26      | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_of__real__0_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 7.04/7.26      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_of__real_Ozero_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.26      | ~ class_RealVector_Oreal__algebra__1(T_a)
% 7.04/7.26      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_norm__eq__zero_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.26      | c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 7.04/7.26      | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_scaleR_Ozero__left_0,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 7.04/7.26      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_scaleR__eq__0__iff_1,axiom,
% 7.04/7.26      ( ~ class_RealVector_Oreal__vector(T_a)
% 7.04/7.26      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sin__pi_0,axiom,
% 7.04/7.26      c_Transcendental_Osin(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_0_0,axiom,
% 7.04/7.26      c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_sin__zero_0,axiom,
% 7.04/7.26      c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_CHAINED_0,axiom,
% 7.04/7.26      c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_CHAINED_0_01,axiom,
% 7.04/7.26      c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(cls_conjecture_0,negated_conjecture,
% 7.04/7.26      c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 7.04/7.26      class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 7.04/7.26      class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 7.04/7.26      class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 7.04/7.26      class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 7.04/7.26      class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 7.04/7.26      class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 7.04/7.26      class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 7.04/7.26      class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 7.04/7.26      class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
% 7.04/7.26      class_Ring__and__Field_Opordered__semiring(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom,
% 7.04/7.26      class_Ring__and__Field_Oordered__semiring(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 7.04/7.26      class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 7.04/7.26      class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 7.04/7.26      class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 7.04/7.26      class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom,
% 7.04/7.26      class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 7.04/7.26      class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 7.04/7.26      class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 7.04/7.26      class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 7.04/7.26      class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 7.04/7.26      class_Lattices_Oupper__semilattice(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
% 7.04/7.26      class_Lattices_Olower__semilattice(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
% 7.04/7.26      class_Ring__and__Field_Omult__mono1(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 7.04/7.26      class_Ring__and__Field_Omult__zero(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
% 7.04/7.26      class_Ring__and__Field_Omult__mono(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 7.04/7.26      class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
% 7.04/7.26      class_Lattices_Odistrib__lattice(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 7.04/7.26      class_Ring__and__Field_Osemiring(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 7.04/7.26      class_OrderedGroup_Omonoid__add(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Divides_Osemiring__div,axiom,
% 7.04/7.26      class_Divides_Osemiring__div(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Ring__and__Field_Odvd,axiom,
% 7.04/7.26      class_Ring__and__Field_Odvd(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 7.04/7.26      class_Orderings_Opreorder(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 7.04/7.26      class_Orderings_Olinorder(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Lattices_Olattice,axiom,
% 7.04/7.26      class_Lattices_Olattice(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Orderings_Oorder,axiom,
% 7.04/7.26      class_Orderings_Oorder(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_nat__Power_Opower,axiom,
% 7.04/7.26      class_Power_Opower(tc_nat) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 7.04/7.26      class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 7.04/7.26      class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 7.04/7.26      class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 7.04/7.26      class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__meet,axiom,
% 7.04/7.26      class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__join,axiom,
% 7.04/7.26      class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 7.04/7.26      class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom,
% 7.04/7.26      class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 7.04/7.26      class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ).
% 7.04/7.26  
% 7.04/7.26  cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 7.04/7.26      class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom,
% 7.04/7.27      class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 7.04/7.27      class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 7.04/7.27      class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 7.04/7.27      class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom,
% 7.04/7.27      class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom,
% 7.04/7.27      class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom,
% 7.04/7.27      class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom,
% 7.04/7.27      class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom,
% 7.04/7.27      class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom,
% 7.04/7.27      class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom,
% 7.04/7.27      class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs,axiom,
% 7.04/7.27      class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom,
% 7.04/7.27      class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom,
% 7.04/7.27      class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom,
% 7.04/7.27      class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom,
% 7.04/7.27      class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom,
% 7.04/7.27      class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
% 7.04/7.27      class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
% 7.04/7.27      class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom,
% 7.04/7.27      class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
% 7.04/7.27      class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,axiom,
% 7.04/7.27      class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom,
% 7.04/7.27      class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom,
% 7.04/7.27      class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom,
% 7.04/7.27      class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring,axiom,
% 7.04/7.27      class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring,axiom,
% 7.04/7.27      class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom,
% 7.04/7.27      class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom,
% 7.04/7.27      class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom,
% 7.04/7.27      class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom,
% 7.04/7.27      class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
% 7.04/7.27      class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__RealVector_Oreal__div__algebra,axiom,
% 7.04/7.27      class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1,axiom,
% 7.04/7.27      class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Lattices_Oupper__semilattice,axiom,
% 7.04/7.27      class_Lattices_Oupper__semilattice(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Lattices_Olower__semilattice,axiom,
% 7.04/7.27      class_Lattices_Olower__semilattice(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom,
% 7.04/7.27      class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra__1,axiom,
% 7.04/7.27      class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom,
% 7.04/7.27      class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom,
% 7.04/7.27      class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom,
% 7.04/7.27      class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring,axiom,
% 7.04/7.27      class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,axiom,
% 7.04/7.27      class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Lattices_Odistrib__lattice,axiom,
% 7.04/7.27      class_Lattices_Odistrib__lattice(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom,
% 7.04/7.27      class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__RealVector_Osgn__div__norm,axiom,
% 7.04/7.27      class_RealVector_Osgn__div__norm(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra,axiom,
% 7.04/7.27      class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__RealVector_Ometric__space,axiom,
% 7.04/7.27      class_RealVector_Ometric__space(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom,
% 7.04/7.27      class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__RealVector_Oreal__vector,axiom,
% 7.04/7.27      class_RealVector_Oreal__vector(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
% 7.04/7.27      class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osgn__if,axiom,
% 7.04/7.27      class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1,axiom,
% 7.04/7.27      class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,axiom,
% 7.04/7.27      class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__RealVector_Oreal__field,axiom,
% 7.04/7.27      class_RealVector_Oreal__field(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom,
% 7.04/7.27      class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__RealVector_Odist__norm,axiom,
% 7.04/7.27      class_RealVector_Odist__norm(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom,
% 7.04/7.27      class_Ring__and__Field_Oring(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom,
% 7.04/7.27      class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odvd,axiom,
% 7.04/7.27      class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
% 7.04/7.27      class_Orderings_Opreorder(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
% 7.04/7.27      class_Orderings_Olinorder(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Lattices_Olattice,axiom,
% 7.04/7.27      class_Lattices_Olattice(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom,
% 7.04/7.27      class_Orderings_Oorder(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom,
% 7.04/7.27      class_Int_Onumber__ring(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__Power_Opower,axiom,
% 7.04/7.27      class_Power_Opower(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  cnf(clsarity_RealDef__Oreal__SEQ_Obanach,axiom,
% 7.04/7.27      class_SEQ_Obanach(tc_RealDef_Oreal) ).
% 7.04/7.27  
% 7.04/7.27  %------------------------------------------------------------------------------
% 7.04/7.27  %-------------------------------------------
% 7.04/7.27  % Proof found
% 7.04/7.27  % SZS status Theorem for theBenchmark
% 7.04/7.27  % SZS output start Proof
% 7.04/7.27  %ClaNum:1358(EqnAxiom:155)
% 7.04/7.27  %VarNum:9372(SingletonVarNum:2818)
% 7.04/7.27  %MaxLitNum:6
% 7.04/7.27  %MaxfuncDepth:4
% 7.04/7.27  %SharedTerms:158
% 7.04/7.27  %goalClause: 271
% 7.04/7.27  %singleGoalClaCount:1
% 7.04/7.27  [156]P1(a1)
% 7.04/7.27  [157]P6(a2)
% 7.04/7.27  [158]P6(a1)
% 7.04/7.27  [159]P7(a2)
% 7.04/7.27  [160]P8(a2)
% 7.04/7.27  [161]P8(a1)
% 7.04/7.27  [162]P54(a2)
% 7.04/7.27  [163]P54(a1)
% 7.04/7.27  [164]P22(a2)
% 7.04/7.27  [165]P31(a2)
% 7.04/7.27  [166]P57(a2)
% 7.04/7.27  [167]P58(a2)
% 7.04/7.27  [168]P59(a2)
% 7.04/7.27  [169]P59(a1)
% 7.04/7.27  [170]P44(a2)
% 7.04/7.27  [171]P60(a2)
% 7.04/7.27  [172]P32(a2)
% 7.04/7.27  [173]P9(a2)
% 7.04/7.27  [174]P9(a1)
% 7.04/7.27  [175]P45(a2)
% 7.04/7.27  [176]P69(a2)
% 7.04/7.27  [177]P61(a2)
% 7.04/7.27  [178]P10(a2)
% 7.04/7.27  [179]P23(a2)
% 7.04/7.27  [180]P33(a2)
% 7.04/7.27  [181]P33(a1)
% 7.04/7.27  [182]P73(a2)
% 7.04/7.27  [183]P63(a2)
% 7.04/7.27  [184]P63(a1)
% 7.04/7.27  [185]P65(a2)
% 7.04/7.27  [186]P65(a1)
% 7.04/7.27  [187]P62(a2)
% 7.04/7.27  [188]P71(a2)
% 7.04/7.27  [189]P71(a1)
% 7.04/7.27  [190]P46(a2)
% 7.04/7.27  [191]P52(a2)
% 7.04/7.27  [192]P47(a2)
% 7.04/7.27  [193]P11(a2)
% 7.04/7.27  [194]P11(a1)
% 7.04/7.27  [195]P24(a2)
% 7.04/7.27  [196]P34(a2)
% 7.04/7.27  [197]P70(a2)
% 7.04/7.27  [198]P13(a2)
% 7.04/7.27  [199]P13(a1)
% 7.04/7.27  [200]P14(a2)
% 7.04/7.27  [201]P14(a1)
% 7.04/7.27  [202]P39(a2)
% 7.04/7.27  [203]P39(a1)
% 7.04/7.27  [204]P74(a2)
% 7.04/7.27  [205]P74(a1)
% 7.04/7.27  [206]P48(a2)
% 7.04/7.27  [207]P15(a2)
% 7.04/7.27  [208]P15(a1)
% 7.04/7.27  [209]P55(a2)
% 7.04/7.27  [210]P55(a1)
% 7.04/7.27  [211]P75(a2)
% 7.04/7.27  [212]P76(a2)
% 7.04/7.27  [213]P76(a1)
% 7.04/7.27  [214]P77(a2)
% 7.04/7.27  [215]P35(a2)
% 7.04/7.27  [216]P35(a1)
% 7.04/7.27  [217]P36(a2)
% 7.04/7.27  [218]P36(a1)
% 7.04/7.27  [219]P25(a2)
% 7.04/7.27  [220]P37(a2)
% 7.04/7.27  [221]P37(a1)
% 7.04/7.27  [222]P78(a2)
% 7.04/7.27  [223]P16(a2)
% 7.04/7.27  [224]P56(a2)
% 7.04/7.27  [225]P19(a2)
% 7.04/7.27  [226]P19(a1)
% 7.04/7.27  [227]P20(a2)
% 7.04/7.27  [228]P20(a1)
% 7.04/7.27  [229]P50(a2)
% 7.04/7.27  [230]P51(a2)
% 7.04/7.27  [231]P26(a2)
% 7.04/7.27  [232]P53(a2)
% 7.04/7.27  [233]P72(a2)
% 7.04/7.27  [234]P72(a1)
% 7.04/7.27  [235]P21(a2)
% 7.04/7.27  [236]P21(a1)
% 7.04/7.27  [237]P64(a2)
% 7.04/7.27  [238]P83(a2)
% 7.04/7.27  [239]P28(a2)
% 7.04/7.27  [240]P28(a1)
% 7.04/7.27  [241]P43(a2)
% 7.04/7.27  [242]P49(a2)
% 7.04/7.27  [243]P30(a2)
% 7.04/7.27  [244]P79(a2)
% 7.04/7.27  [245]P27(a2)
% 7.04/7.27  [246]P40(a2)
% 7.04/7.27  [247]P40(a1)
% 7.04/7.27  [248]P17(a2)
% 7.04/7.27  [249]P17(a1)
% 7.04/7.27  [250]P80(a2)
% 7.04/7.27  [251]P80(a1)
% 7.04/7.27  [252]P38(a2)
% 7.04/7.27  [253]P38(a1)
% 7.04/7.27  [254]P66(a2)
% 7.04/7.27  [255]P66(a1)
% 7.04/7.27  [256]P81(a2)
% 7.04/7.27  [257]P67(a2)
% 7.04/7.27  [258]P67(a1)
% 7.04/7.27  [259]P41(a2)
% 7.04/7.27  [260]P84(a2)
% 7.04/7.27  [261]P84(a1)
% 7.04/7.27  [262]P82(a2)
% 7.04/7.27  [263]P68(a2)
% 7.04/7.27  [264]P68(a1)
% 7.04/7.27  [265]P42(a2)
% 7.04/7.27  [266]P42(a1)
% 7.04/7.27  [267]P29(a2)
% 7.04/7.27  [268]P29(a1)
% 7.04/7.27  [290]P2(a34,a15,a2)
% 7.04/7.27  [269]E(f3(a2),f31(a15))
% 7.04/7.27  [270]E(f32(a15),f3(a2))
% 7.04/7.27  [271]E(f32(a34),f3(a2))
% 7.04/7.27  [292]P3(f3(a2),a15,a2)
% 7.04/7.27  [293]P2(f3(a2),a15,a2)
% 7.04/7.27  [295]P2(f3(a2),a34,a2)
% 7.04/7.27  [310]~E(f3(a2),a15)
% 7.04/7.27  [311]~E(f4(a2),f3(a2))
% 7.04/7.27  [315]~P2(a15,f3(a2),a2)
% 7.04/7.27  [272]E(f16(f3(a2)),f3(a2))
% 7.04/7.27  [273]E(f16(f4(a2)),f4(a2))
% 7.04/7.27  [274]E(f21(f3(a2)),f4(a2))
% 7.04/7.27  [275]E(f31(f3(a2)),f3(a2))
% 7.04/7.27  [276]E(f32(f3(a2)),f3(a2))
% 7.04/7.27  [277]E(f22(f3(a2)),f3(a2))
% 7.04/7.27  [279]E(f5(f3(a2),a2),f3(a2))
% 7.04/7.27  [280]E(f11(f3(a2),a2),f3(a2))
% 7.04/7.27  [316]~P2(f3(a2),f14(f3(a2),f3(a2),a2),a2)
% 7.04/7.27  [305]E(f14(f13(f4(a2),a2),f13(f4(a2),a2),a2),f4(a2))
% 7.04/7.27  [291]P3(x2911,x2911,a2)
% 7.04/7.27  [314]~P2(x3141,x3141,a2)
% 7.04/7.27  [298]P3(f21(x2981),f4(a2),a2)
% 7.04/7.27  [299]P3(f32(x2991),f4(a2),a2)
% 7.04/7.27  [278]E(f31(f22(x2781)),x2781)
% 7.04/7.27  [281]E(f17(x2811,f3(a2)),f4(a2))
% 7.04/7.27  [282]E(f20(x2821,f3(a2)),f3(a2))
% 7.04/7.27  [283]E(f17(f4(a2),x2831),f4(a2))
% 7.04/7.27  [284]E(f21(f13(x2841,a2)),f21(x2841))
% 7.04/7.27  [285]E(f16(f5(x2851,a2)),f5(f16(x2851),a2))
% 7.04/7.27  [286]E(f16(f13(x2861,a2)),f13(f16(x2861),a2))
% 7.04/7.27  [287]E(f31(f13(x2871,a2)),f13(f31(x2871),a2))
% 7.04/7.27  [288]E(f32(f13(x2881,a2)),f13(f32(x2881),a2))
% 7.04/7.27  [289]E(f22(f13(x2891,a2)),f13(f22(x2891),a2))
% 7.04/7.27  [296]E(f14(f4(a2),x2961,a2),x2961)
% 7.04/7.27  [312]~E(f21(f22(x3121)),f3(a2))
% 7.04/7.27  [302]P3(f3(a2),f17(x3021,x3022),a2)
% 7.04/7.27  [303]P2(f3(a2),f17(x3031,x3032),a2)
% 7.04/7.27  [304]E(f14(x3041,x3042,a2),f14(x3042,x3041,a2))
% 7.04/7.27  [313]~E(f17(x3131,x3132),f3(a2))
% 7.04/7.27  [300]E(f5(f17(x3001,x3002),a2),f17(x3001,f13(x3002,a2)))
% 7.04/7.27  [307]E(f14(f16(x3071),f16(x3072),a2),f16(f14(x3071,x3072,a2)))
% 7.04/7.27  [309]P3(f13(f14(x3091,x3091,a2),a2),f14(x3092,x3092,a2),a2)
% 7.04/7.27  [301]E(f17(f17(x3011,x3012),x3013),f17(f17(x3011,x3013),x3012))
% 7.04/7.27  [306]E(f17(x3061,f14(x3062,x3063,a2)),f17(f17(x3061,x3062),x3063))
% 7.04/7.27  [308]E(f14(f14(x3081,x3082,a2),x3083,a2),f14(x3081,f14(x3082,x3083,a2),a2))
% 7.04/7.27  [407]~P23(a33)+E(f18(a34,f3(a33),a33),f25(a34,a33))
% 7.04/7.27  [408]~P23(a33)+E(f19(a34,f3(a33),a33),f26(a34,a33))
% 7.04/7.27  [317]~E(f16(x3171),f3(a2))+E(x3171,f3(a2))
% 7.04/7.27  [318]~E(f16(x3181),f4(a2))+E(x3181,f4(a2))
% 7.04/7.27  [320]~E(f21(x3201),f4(a2))+E(f32(x3201),f3(a2))
% 7.04/7.27  [322]~P84(x3221)+~E(f4(x3221),f3(x3221))
% 7.04/7.27  [433]~P71(x4331)+P3(f3(x4331),f4(x4331),x4331)
% 7.04/7.27  [434]~P71(x4341)+P2(f3(x4341),f4(x4341),x4341)
% 7.04/7.27  [490]~E(f16(x4901),f3(a2))+~P2(f3(a2),x4901,a2)
% 7.04/7.27  [497]~P2(f3(a2),x4971,a2)+E(f11(x4971,a2),f4(a2))
% 7.04/7.27  [515]~P71(x5151)+~P3(f4(x5151),f3(x5151),x5151)
% 7.04/7.27  [516]~P71(x5161)+~P2(f4(x5161),f3(x5161),x5161)
% 7.04/7.27  [602]~P3(x6021,f3(a2),a2)+P3(f16(x6021),f3(a2),a2)
% 7.04/7.27  [603]~P3(x6031,f4(a2),a2)+P3(f16(x6031),f4(a2),a2)
% 7.04/7.27  [604]~P2(x6041,f3(a2),a2)+P2(f16(x6041),f3(a2),a2)
% 7.04/7.27  [605]~P2(x6051,f4(a2),a2)+P2(f16(x6051),f4(a2),a2)
% 7.04/7.27  [607]~P3(f3(a2),x6071,a2)+P3(f3(a2),f16(x6071),a2)
% 7.04/7.27  [609]~P3(f4(a2),x6091,a2)+P3(f4(a2),f16(x6091),a2)
% 7.04/7.27  [611]~P2(f3(a2),x6111,a2)+P2(f3(a2),f16(x6111),a2)
% 7.04/7.27  [612]~P2(f4(a2),x6121,a2)+P2(f4(a2),f16(x6121),a2)
% 7.04/7.27  [615]~P3(f16(x6151),f3(a2),a2)+P3(x6151,f3(a2),a2)
% 7.04/7.27  [616]~P3(f16(x6161),f4(a2),a2)+P3(x6161,f4(a2),a2)
% 7.04/7.27  [617]~P2(f16(x6171),f3(a2),a2)+P2(x6171,f3(a2),a2)
% 7.04/7.27  [618]~P2(f16(x6181),f4(a2),a2)+P2(x6181,f4(a2),a2)
% 7.04/7.27  [619]~P3(f3(a2),f16(x6191),a2)+P3(f3(a2),x6191,a2)
% 7.04/7.27  [620]~P3(f4(a2),f16(x6201),a2)+P3(f4(a2),x6201,a2)
% 7.04/7.27  [621]~P2(f3(a2),f16(x6211),a2)+P2(f3(a2),x6211,a2)
% 7.04/7.27  [622]~P2(f4(a2),f16(x6221),a2)+P2(f4(a2),x6221,a2)
% 7.04/7.27  [628]E(x6281,f3(a2))+P2(f3(a2),f14(x6281,x6281,a2),a2)
% 7.04/7.27  [323]~P31(x3231)+E(f23(f3(a2),x3231),f3(x3231))
% 7.04/7.27  [324]~P31(x3241)+E(f23(f4(a2),x3241),f4(x3241))
% 7.04/7.27  [325]~P52(x3251)+E(f24(f3(x3251),x3251),f3(a2))
% 7.04/7.27  [326]~P51(x3261)+E(f24(f4(x3261),x3261),f4(a2))
% 7.04/7.27  [328]~P58(x3281)+E(f5(f3(x3281),x3281),f3(x3281))
% 7.04/7.27  [329]~P57(x3291)+E(f5(f4(x3291),x3291),f4(x3291))
% 7.04/7.27  [330]~P52(x3301)+E(f11(f3(x3301),x3301),f3(x3301))
% 7.04/7.27  [331]~P70(x3311)+E(f11(f3(x3311),x3311),f3(x3311))
% 7.04/7.27  [332]~P78(x3321)+E(f11(f3(x3321),x3321),f3(x3321))
% 7.04/7.27  [333]~P51(x3331)+E(f11(f4(x3331),x3331),f4(x3331))
% 7.04/7.27  [334]~P23(x3341)+E(f25(f3(x3341),x3341),f3(x3341))
% 7.04/7.27  [335]~P23(x3351)+E(f26(f3(x3351),x3351),f3(x3351))
% 7.04/7.27  [336]~P24(x3361)+E(f13(f3(x3361),x3361),f3(x3361))
% 7.04/7.27  [337]~P30(x3371)+E(f13(f3(x3371),x3371),f3(x3371))
% 7.04/7.27  [338]~P34(x3381)+E(f6(f3(x3381),x3381),f3(x3381))
% 7.04/7.27  [339]~P70(x3391)+E(f6(f4(x3391),x3391),f4(x3391))
% 7.04/7.27  [436]~P23(x4361)+E(f12(f3(x4361),f3(x4361),x4361),f3(x4361))
% 7.04/7.27  [444]E(x4441,f3(a2))+E(f14(f5(x4441,a2),x4441,a2),f4(a2))
% 7.04/7.27  [448]P2(f3(a2),x4481,a2)+~E(f17(x4481,f4(a2)),x4481)
% 7.04/7.27  [493]~P52(x4931)+P3(f24(f3(x4931),x4931),f3(a2),a2)
% 7.04/7.27  [500]~P34(x5001)+P3(f6(f3(x5001),x5001),f3(x5001),x5001)
% 7.04/7.27  [503]~P2(f3(a2),x5031,a2)+E(f17(x5031,f4(a2)),x5031)
% 7.04/7.27  [623]~P52(x6231)+~P2(f3(a2),f24(f3(x6231),x6231),a2)
% 7.04/7.27  [627]~P34(x6271)+~P2(f3(x6271),f6(f3(x6271),x6271),x6271)
% 7.04/7.27  [734]~P71(x7341)+P2(f3(x7341),f12(f4(x7341),f4(x7341),x7341),x7341)
% 7.04/7.27  [375]~P52(x3751)+E(f24(f11(f3(x3751),x3751),x3751),f3(a2))
% 7.04/7.27  [926]~P69(x9261)+E(f12(f14(f3(x9261),f3(x9261),x9261),f14(f3(x9261),f3(x9261),x9261),x9261),f3(x9261))
% 7.04/7.27  [1302]~P69(x13021)+P3(f12(f14(f3(x13021),f3(x13021),x13021),f14(f3(x13021),f3(x13021),x13021),x13021),f3(x13021),x13021)
% 7.04/7.27  [1342]~P69(x13421)+~P2(f3(x13421),f12(f14(f3(x13421),f3(x13421),x13421),f14(f3(x13421),f3(x13421),x13421),x13421),x13421)
% 7.04/7.27  [372]~P54(x3722)+P4(x3721,x3721,x3722)
% 7.04/7.27  [373]~P39(x3732)+P3(x3731,x3731,x3732)
% 7.04/7.27  [374]~P40(x3742)+P3(x3741,x3741,x3742)
% 7.04/7.27  [472]~P2(x4722,x4722,x4721)+~P33(x4721)
% 7.04/7.27  [473]~P2(x4732,x4732,x4731)+~P39(x4731)
% 7.04/7.27  [474]~P2(x4742,x4742,x4741)+~P40(x4741)
% 7.04/7.27  [502]P3(x5022,x5021,a2)+P3(x5021,x5022,a2)
% 7.04/7.27  [562]~P2(x5621,x5622,a2)+P3(x5621,x5622,a2)
% 7.04/7.27  [319]E(x3191,x3192)+~E(f16(x3191),f16(x3192))
% 7.04/7.27  [376]~P18(x3762)+E(f14(x3761,x3761,x3762),x3761)
% 7.04/7.27  [377]~P9(x3772)+E(f18(x3771,x3771,x3772),x3771)
% 7.04/7.27  [378]~P13(x3782)+E(f19(x3781,x3781,x3782),x3781)
% 7.04/7.27  [379]~P32(x3792)+E(f27(x3791,x3791,x3792),f3(a2))
% 7.04/7.27  [381]~P1(x3812)+E(f7(x3811,x3811,x3812),f3(x3812))
% 7.04/7.27  [383]~P24(x3832)+E(f10(x3831,x3831,x3832),f3(x3832))
% 7.04/7.27  [384]~P16(x3842)+E(f10(x3841,x3841,x3842),f3(x3842))
% 7.04/7.27  [386]~P54(x3862)+P4(x3861,f3(x3862),x3862)
% 7.04/7.27  [387]~P54(x3871)+P4(f4(x3871),x3872,x3871)
% 7.04/7.27  [454]~P34(x4542)+P3(x4541,f6(x4541,x4542),x4542)
% 7.04/7.27  [458]~P52(x4582)+P3(f3(a2),f24(x4581,x4582),a2)
% 7.04/7.27  [475]~P23(x4751)+P3(f3(x4751),f25(x4752,x4751),x4751)
% 7.04/7.27  [476]~P34(x4761)+P3(f3(x4761),f6(x4762,x4761),x4761)
% 7.04/7.27  [477]~P23(x4772)+P3(f26(x4771,x4772),f3(x4772),x4772)
% 7.04/7.27  [517]~P34(x5172)+P3(f13(x5171,x5172),f6(x5171,x5172),x5172)
% 7.04/7.27  [561]~P52(x5611)+~P2(f24(x5612,x5611),f3(a2),a2)
% 7.04/7.27  [575]~P34(x5751)+~P2(f6(x5752,x5751),f3(x5751),x5751)
% 7.04/7.27  [587]~P3(x5871,x5872,a2)+P3(f16(x5871),f16(x5872),a2)
% 7.04/7.27  [588]~P3(x5881,x5882,a2)+P3(f22(x5881),f22(x5882),a2)
% 7.04/7.27  [589]~P2(x5891,x5892,a2)+P2(f16(x5891),f16(x5892),a2)
% 7.04/7.27  [590]~P2(x5901,x5902,a2)+P2(f22(x5901),f22(x5902),a2)
% 7.04/7.27  [624]P3(x6241,x6242,a2)+~P3(f16(x6241),f16(x6242),a2)
% 7.04/7.27  [625]P2(x6251,x6252,a2)+~P2(f16(x6251),f16(x6252),a2)
% 7.04/7.27  [650]~P32(x6502)+P3(f27(x6501,x6501,x6502),f3(a2),a2)
% 7.04/7.27  [662]~P69(x6621)+P3(f3(x6621),f14(x6622,x6622,x6621),x6621)
% 7.04/7.27  [848]~P32(x8481)+~P2(f3(a2),f27(x8482,x8482,x8481),a2)
% 7.04/7.27  [862]~P69(x8621)+~P2(f14(x8622,x8622,x8621),f3(x8621),x8621)
% 7.04/7.27  [357]~P24(x3572)+E(f13(f13(x3571,x3572),x3572),x3571)
% 7.04/7.27  [358]~P12(x3582)+E(f13(f13(x3581,x3582),x3582),x3581)
% 7.04/7.27  [368]~P70(x3682)+E(f11(f11(x3681,x3682),x3682),f11(x3681,x3682))
% 7.04/7.27  [369]~P52(x3692)+E(f24(f13(x3691,x3692),x3692),f24(x3691,x3692))
% 7.04/7.27  [370]~P34(x3702)+E(f6(f13(x3701,x3702),x3702),f6(x3701,x3702))
% 7.04/7.27  [371]~P34(x3712)+E(f6(f6(x3711,x3712),x3712),f6(x3711,x3712))
% 7.04/7.27  [385]~P45(x3852)+E(f29(f4(a2),x3851,x3852),x3851)
% 7.04/7.27  [388]~P1(x3882)+E(f8(x3881,f4(x3882),x3882),x3881)
% 7.04/7.27  [389]~P54(x3892)+E(f14(x3891,f4(x3892),x3892),x3891)
% 7.04/7.27  [390]~P28(x3902)+E(f14(x3901,f4(x3902),x3902),x3901)
% 7.04/7.27  [391]~P1(x3912)+E(f7(x3911,f3(x3912),x3912),x3911)
% 7.04/7.27  [392]~P54(x3922)+E(f12(x3921,f3(x3922),x3922),x3921)
% 7.04/7.27  [393]~P21(x3932)+E(f12(x3931,f3(x3932),x3932),x3931)
% 7.04/7.27  [394]~P29(x3942)+E(f12(x3941,f3(x3942),x3942),x3941)
% 7.04/7.27  [395]~P24(x3952)+E(f10(x3951,f3(x3952),x3952),x3951)
% 7.04/7.27  [396]~P62(x3962)+E(f9(x3961,f4(x3962),x3962),x3961)
% 7.04/7.27  [397]~P8(x3971)+E(f14(f4(x3971),x3972,x3971),x3972)
% 7.04/7.27  [399]~P54(x3991)+E(f14(f4(x3991),x3992,x3991),x3992)
% 7.04/7.27  [400]~P28(x4001)+E(f14(f4(x4001),x4002,x4001),x4002)
% 7.04/7.27  [402]~P54(x4021)+E(f12(f3(x4021),x4022,x4021),x4022)
% 7.04/7.27  [403]~P21(x4031)+E(f12(f3(x4031),x4032,x4031),x4032)
% 7.04/7.27  [404]~P29(x4041)+E(f12(f3(x4041),x4042,x4041),x4042)
% 7.04/7.27  [405]~P45(x4052)+E(f29(f3(a2),x4051,x4052),f3(x4052))
% 7.04/7.27  [406]~P52(x4062)+E(f29(f3(a2),x4061,x4062),f3(x4062))
% 7.04/7.27  [412]~P1(x4122)+E(f8(x4121,f3(x4122),x4122),f3(x4122))
% 7.04/7.27  [413]~P54(x4132)+E(f14(x4131,f3(x4132),x4132),f3(x4132))
% 7.04/7.27  [415]~P48(x4152)+E(f14(x4151,f3(x4152),x4152),f3(x4152))
% 7.04/7.27  [416]~P81(x4162)+E(f14(x4161,f3(x4162),x4162),f3(x4162))
% 7.04/7.27  [417]~P67(x4172)+E(f14(x4171,f3(x4172),x4172),f3(x4172))
% 7.04/7.27  [418]~P1(x4182)+E(f7(x4181,f4(x4182),x4182),f3(x4182))
% 7.04/7.27  [419]~P45(x4192)+E(f29(x4191,f3(x4192),x4192),f3(x4192))
% 7.04/7.27  [420]~P52(x4202)+E(f29(x4201,f3(x4202),x4202),f3(x4202))
% 7.04/7.27  [421]~P1(x4211)+E(f8(f3(x4211),x4212,x4211),f3(x4211))
% 7.04/7.27  [423]~P54(x4231)+E(f14(f3(x4231),x4232,x4231),f3(x4231))
% 7.04/7.27  [425]~P48(x4251)+E(f14(f3(x4251),x4252,x4251),f3(x4251))
% 7.04/7.27  [426]~P81(x4261)+E(f14(f3(x4261),x4262,x4261),f3(x4261))
% 7.04/7.27  [427]~P67(x4271)+E(f14(f3(x4271),x4272,x4271),f3(x4271))
% 7.04/7.27  [428]~P1(x4281)+E(f7(f3(x4281),x4282,x4281),f3(x4281))
% 7.04/7.27  [429]~P28(x4291)+E(f28(f4(x4291),x4292,x4291),f4(x4291))
% 7.04/7.27  [430]~P62(x4301)+E(f9(f3(x4301),x4302,x4301),f3(x4301))
% 7.04/7.27  [431]~P46(x4311)+E(f9(f3(x4311),x4312,x4311),f3(x4311))
% 7.04/7.27  [441]~P31(x4412)+E(f29(x4411,f4(x4412),x4412),f23(x4411,x4412))
% 7.04/7.27  [442]~P62(x4421)+E(f9(f4(x4421),x4422,x4421),f5(x4422,x4421))
% 7.04/7.27  [443]~P24(x4431)+E(f10(f3(x4431),x4432,x4431),f13(x4432,x4431))
% 7.04/7.27  [446]~P51(x4462)+E(f11(f23(x4461,x4462),x4462),f23(f11(x4461,a2),x4462))
% 7.04/7.27  [447]~P31(x4472)+E(f23(f13(x4471,a2),x4472),f13(f23(x4471,x4472),x4472))
% 7.04/7.27  [450]~P52(x4502)+E(f11(f13(x4501,x4502),x4502),f13(f11(x4501,x4502),x4502))
% 7.04/7.27  [451]~P23(x4512)+E(f26(f13(x4511,x4512),x4512),f13(f25(x4511,x4512),x4512))
% 7.04/7.27  [452]~P23(x4522)+E(f25(f13(x4521,x4522),x4522),f13(f26(x4521,x4522),x4522))
% 7.04/7.27  [463]~P24(x4632)+E(f12(x4631,f13(x4631,x4632),x4632),f3(x4632))
% 7.04/7.27  [465]~P24(x4652)+E(f12(f13(x4651,x4652),x4651,x4652),f3(x4652))
% 7.04/7.27  [466]~P16(x4662)+E(f12(f13(x4661,x4662),x4661,x4662),f3(x4662))
% 7.04/7.27  [491]~P70(x4912)+E(f14(x4911,f11(x4911,x4912),x4912),f6(x4911,x4912))
% 7.04/7.27  [492]~P25(x4922)+E(f18(x4921,f13(x4921,x4922),x4922),f6(x4921,x4922))
% 7.04/7.27  [519]~P23(x5192)+E(f12(f25(x5191,x5192),f26(x5191,x5192),x5192),x5191)
% 7.04/7.27  [520]~P70(x5202)+E(f14(f11(x5201,x5202),f6(x5201,x5202),x5202),x5201)
% 7.04/7.27  [555]~P25(x5552)+E(f10(f25(x5551,x5552),f26(x5551,x5552),x5552),f6(x5551,x5552))
% 7.04/7.27  [578]~P34(x5782)+P3(f13(f6(x5781,x5782),x5782),f3(x5782),x5782)
% 7.04/7.27  [631]~P61(x6312)+E(f14(f13(x6311,x6312),f13(x6311,x6312),x6312),f14(x6311,x6311,x6312))
% 7.04/7.27  [632]~P70(x6322)+E(f14(f6(x6321,x6322),f6(x6321,x6322),x6322),f14(x6321,x6321,x6322))
% 7.04/7.27  [681]~P71(x6812)+P2(x6811,f12(x6811,f4(x6812),x6812),x6812)
% 7.04/7.27  [851]E(x8511,f3(a2))+~E(f14(x8512,x8512,a2),f13(f14(x8511,x8511,a2),a2))
% 7.04/7.27  [852]E(x8521,f3(a2))+~E(f14(x8521,x8521,a2),f13(f14(x8522,x8522,a2),a2))
% 7.04/7.27  [518]~P10(x5181)+E(f14(f13(f4(x5181),x5181),x5182,x5181),f13(x5182,x5181))
% 7.04/7.27  [593]~P44(x5932)+E(f29(f5(f24(x5931,x5932),a2),x5931,x5932),f11(x5931,x5932))
% 7.04/7.27  [829]~P54(x8292)+E(f12(x8291,x8291,x8292),f14(f12(f4(x8292),f4(x8292),x8292),x8291,x8292))
% 7.04/7.27  [525]~P54(x5253)+E(f14(x5251,x5252,x5253),f14(x5252,x5251,x5253))
% 7.04/7.27  [527]~P54(x5273)+E(f12(x5271,x5272,x5273),f12(x5272,x5271,x5273))
% 7.04/7.27  [528]~P21(x5283)+E(f12(x5281,x5282,x5283),f12(x5282,x5281,x5283))
% 7.04/7.27  [529]~P32(x5293)+E(f27(x5291,x5292,x5293),f27(x5292,x5291,x5293))
% 7.04/7.27  [530]~P9(x5303)+E(f18(x5301,x5302,x5303),f18(x5302,x5301,x5303))
% 7.04/7.27  [531]~P14(x5313)+E(f18(x5311,x5312,x5313),f18(x5312,x5311,x5313))
% 7.04/7.27  [532]~P13(x5323)+E(f19(x5321,x5322,x5323),f19(x5322,x5321,x5323))
% 7.04/7.27  [533]~P14(x5333)+E(f19(x5331,x5332,x5333),f19(x5332,x5331,x5333))
% 7.04/7.27  [633]~P54(x6333)+P4(x6331,f14(x6332,x6331,x6333),x6333)
% 7.04/7.27  [634]~P6(x6343)+P4(x6341,f14(x6341,x6342,x6343),x6343)
% 7.04/7.27  [635]~P54(x6353)+P4(x6351,f14(x6351,x6352,x6353),x6353)
% 7.04/7.27  [636]~P9(x6363)+P3(x6361,f18(x6362,x6361,x6363),x6363)
% 7.04/7.27  [637]~P14(x6373)+P3(x6371,f18(x6372,x6371,x6373),x6373)
% 7.04/7.27  [638]~P9(x6383)+P3(x6381,f18(x6381,x6382,x6383),x6383)
% 7.04/7.27  [639]~P14(x6393)+P3(x6391,f18(x6391,x6392,x6393),x6393)
% 7.04/7.27  [640]~P13(x6403)+P3(f19(x6401,x6402,x6403),x6402,x6403)
% 7.04/7.27  [641]~P14(x6413)+P3(f19(x6411,x6412,x6413),x6412,x6413)
% 7.04/7.27  [642]~P13(x6423)+P3(f19(x6421,x6422,x6423),x6421,x6423)
% 7.04/7.27  [643]~P14(x6433)+P3(f19(x6431,x6432,x6433),x6431,x6433)
% 7.04/7.27  [649]~P32(x6493)+P3(f3(a2),f27(x6491,x6492,x6493),a2)
% 7.04/7.27  [849]~P32(x8491)+~P2(f27(x8492,x8493,x8491),f3(a2),a2)
% 7.04/7.27  [552]~P45(x5522)+E(f29(f3(a2),x5521,x5522),f29(f3(a2),x5523,x5522))
% 7.04/7.27  [556]~P45(x5562)+E(f29(x5561,f3(x5562),x5562),f29(x5563,f3(x5562),x5562))
% 7.04/7.27  [567]~P10(x5673)+E(f12(x5671,f13(x5672,x5673),x5673),f10(x5671,x5672,x5673))
% 7.04/7.27  [568]~P24(x5683)+E(f12(x5681,f13(x5682,x5683),x5683),f10(x5681,x5682,x5683))
% 7.04/7.27  [570]~P16(x5703)+E(f12(x5701,f13(x5702,x5703),x5703),f10(x5701,x5702,x5703))
% 7.04/7.27  [571]~P12(x5713)+E(f19(x5711,f13(x5712,x5713),x5713),f10(x5711,x5712,x5713))
% 7.04/7.27  [572]~P62(x5723)+E(f14(x5721,f5(x5722,x5723),x5723),f9(x5721,x5722,x5723))
% 7.04/7.27  [573]~P31(x5732)+E(f14(f23(x5731,x5732),x5733,x5732),f29(x5731,x5733,x5732))
% 7.04/7.27  [574]~P24(x5743)+E(f10(x5741,f13(x5742,x5743),x5743),f12(x5741,x5742,x5743))
% 7.04/7.27  [629]~P75(x6292)+E(f14(f13(x6291,x6292),x6293,x6292),f14(x6291,f13(x6293,x6292),x6292))
% 7.04/7.27  [630]~P75(x6302)+E(f14(f13(x6301,x6302),f13(x6303,x6302),x6302),f14(x6301,x6303,x6302))
% 7.04/7.27  [644]~P14(x6443)+E(f18(x6441,f19(x6441,x6442,x6443),x6443),x6441)
% 7.04/7.27  [645]~P14(x6453)+E(f19(x6451,f18(x6451,x6452,x6453),x6453),x6451)
% 7.04/7.27  [646]~P24(x6463)+E(f12(f10(x6461,x6462,x6463),x6462,x6463),x6461)
% 7.04/7.27  [647]~P24(x6473)+E(f10(f12(x6471,x6472,x6473),x6472,x6473),x6471)
% 7.04/7.27  [651]~P1(x6513)+E(f8(f7(x6511,x6512,x6513),x6512,x6513),f3(x6513))
% 7.04/7.27  [652]~P1(x6523)+E(f7(f14(x6521,x6522,x6523),x6522,x6523),f3(x6523))
% 7.04/7.27  [653]~P1(x6533)+E(f7(f14(x6531,x6532,x6533),x6531,x6533),f3(x6533))
% 7.04/7.27  [689]~P41(x6893)+E(f24(f10(x6891,x6892,x6893),x6893),f27(x6891,x6892,x6893))
% 7.04/7.27  [690]~P16(x6903)+E(f13(f10(x6901,x6902,x6903),x6903),f10(x6902,x6901,x6903))
% 7.04/7.27  [723]~P16(x7232)+E(f12(f13(x7231,x7232),f12(x7233,x7231,x7232),x7232),x7233)
% 7.04/7.27  [724]~P24(x7242)+E(f12(f13(x7241,x7242),f12(x7241,x7243,x7242),x7242),x7243)
% 7.04/7.27  [746]~P45(x7463)+E(f29(f13(x7461,a2),x7462,x7463),f13(f29(x7461,x7462,x7463),x7463))
% 7.04/7.27  [747]~P52(x7473)+E(f29(f13(x7471,a2),x7472,x7473),f13(f29(x7471,x7472,x7473),x7473))
% 7.04/7.27  [748]~P75(x7483)+E(f14(x7481,f13(x7482,x7483),x7483),f13(f14(x7481,x7482,x7483),x7483))
% 7.04/7.27  [749]~P75(x7492)+E(f14(f13(x7491,x7492),x7493,x7492),f13(f14(x7491,x7493,x7492),x7492))
% 7.04/7.27  [750]~P62(x7502)+E(f9(f13(x7501,x7502),x7503,x7502),f13(f9(x7501,x7503,x7502),x7502))
% 7.04/7.27  [751]~P70(x7512)+E(f28(f6(x7511,x7512),x7513,x7512),f6(f28(x7511,x7513,x7512),x7512))
% 7.04/7.27  [753]~P48(x7533)+E(f14(x7531,f13(x7532,x7533),x7533),f13(f14(x7531,x7532,x7533),x7533))
% 7.04/7.27  [754]~P45(x7543)+E(f29(x7541,f13(x7542,x7543),x7543),f13(f29(x7541,x7542,x7543),x7543))
% 7.04/7.27  [755]~P52(x7553)+E(f29(x7551,f13(x7552,x7553),x7553),f13(f29(x7551,x7552,x7553),x7553))
% 7.04/7.27  [757]~P48(x7572)+E(f14(f13(x7571,x7572),x7573,x7572),f13(f14(x7571,x7573,x7572),x7572))
% 7.04/7.27  [758]~P46(x7582)+E(f9(f13(x7581,x7582),x7583,x7582),f13(f9(x7581,x7583,x7582),x7582))
% 7.04/7.27  [785]~P18(x7853)+E(f14(x7851,f14(x7851,x7852,x7853),x7853),f14(x7851,x7852,x7853))
% 7.04/7.27  [786]~P9(x7863)+E(f18(x7861,f18(x7861,x7862,x7863),x7863),f18(x7861,x7862,x7863))
% 7.04/7.27  [787]~P14(x7873)+E(f18(x7871,f18(x7871,x7872,x7873),x7873),f18(x7871,x7872,x7873))
% 7.04/7.27  [788]~P13(x7883)+E(f19(x7881,f19(x7881,x7882,x7883),x7883),f19(x7881,x7882,x7883))
% 7.04/7.27  [789]~P14(x7893)+E(f19(x7891,f19(x7891,x7892,x7893),x7893),f19(x7891,x7892,x7893))
% 7.04/7.27  [790]~P1(x7903)+E(f7(f7(x7901,x7902,x7903),x7902,x7903),f7(x7901,x7902,x7903))
% 7.04/7.27  [791]~P1(x7913)+E(f7(f12(x7911,x7912,x7913),x7912,x7913),f7(x7911,x7912,x7913))
% 7.04/7.27  [792]~P1(x7923)+E(f7(f12(x7921,x7922,x7923),x7921,x7923),f7(x7922,x7921,x7923))
% 7.04/7.27  [793]~P70(x7931)+P3(f3(x7931),f28(f6(x7932,x7931),x7933,x7931),x7931)
% 7.04/7.27  [796]~P52(x7963)+E(f29(f11(x7961,a2),f11(x7962,x7963),x7963),f11(f29(x7961,x7962,x7963),x7963))
% 7.04/7.27  [797]~P31(x7972)+E(f14(f23(x7971,x7972),f23(x7973,x7972),x7972),f23(f14(x7971,x7973,a2),x7972))
% 7.04/7.27  [800]~P50(x8002)+E(f14(f24(x8001,x8002),f24(x8003,x8002),a2),f24(f14(x8001,x8003,x8002),x8002))
% 7.04/7.27  [801]~P70(x8012)+E(f14(f11(x8011,x8012),f11(x8013,x8012),x8012),f11(f14(x8011,x8013,x8012),x8012))
% 7.04/7.27  [802]~P50(x8022)+E(f14(f11(x8021,x8022),f11(x8023,x8022),x8022),f11(f14(x8021,x8023,x8022),x8022))
% 7.04/7.27  [803]~P24(x8032)+E(f12(f13(x8031,x8032),f13(x8033,x8032),x8032),f13(f12(x8033,x8031,x8032),x8032))
% 7.04/7.27  [804]~P16(x8042)+E(f12(f13(x8041,x8042),f13(x8043,x8042),x8042),f13(f12(x8041,x8043,x8042),x8042))
% 7.04/7.27  [805]~P23(x8052)+E(f19(f13(x8051,x8052),f13(x8053,x8052),x8052),f13(f18(x8051,x8053,x8052),x8052))
% 7.04/7.27  [806]~P12(x8062)+E(f19(f13(x8061,x8062),f13(x8063,x8062),x8062),f13(f18(x8061,x8063,x8062),x8062))
% 7.04/7.27  [807]~P23(x8072)+E(f18(f13(x8071,x8072),f13(x8073,x8072),x8072),f13(f19(x8071,x8073,x8072),x8072))
% 7.04/7.27  [808]~P12(x8082)+E(f18(f13(x8081,x8082),f13(x8083,x8082),x8082),f13(f19(x8081,x8083,x8082),x8082))
% 7.04/7.27  [809]~P70(x8092)+E(f14(f6(x8091,x8092),f6(x8093,x8092),x8092),f6(f14(x8091,x8093,x8092),x8092))
% 7.04/7.27  [810]~P16(x8102)+E(f10(f13(x8101,x8102),f13(x8103,x8102),x8102),f13(f10(x8101,x8103,x8102),x8102))
% 7.04/7.27  [830]~P52(x8303)+E(f24(f10(x8301,x8302,x8303),x8303),f24(f10(x8302,x8301,x8303),x8303))
% 7.04/7.27  [831]~P34(x8313)+E(f6(f10(x8311,x8312,x8313),x8313),f6(f10(x8312,x8311,x8313),x8313))
% 7.04/7.27  [889]~P61(x8892)+P4(f14(x8891,f3(x8892),x8892),f14(x8893,f3(x8892),x8892),x8892)
% 7.04/7.27  [890]~P61(x8901)+P4(f14(f3(x8901),x8902,x8901),f14(f3(x8901),x8903,x8901),x8901)
% 7.04/7.27  [927]~P23(x9273)+E(f12(f18(x9271,x9272,x9273),f19(x9271,x9272,x9273),x9273),f12(x9271,x9272,x9273))
% 7.04/7.27  [948]~P28(x9483)+E(f14(f28(x9481,x9482,x9483),x9481,x9483),f14(x9481,f28(x9481,x9482,x9483),x9483))
% 7.04/7.27  [1102]~P79(x11021)+E(f14(f28(f13(f4(x11021),x11021),x11022,x11021),f28(x11023,x11022,x11021),x11021),f28(f13(x11023,x11021),x11022,x11021))
% 7.04/7.27  [1194]~P1(x11943)+E(f12(f14(x11941,f8(x11942,x11941,x11943),x11943),f7(x11942,x11941,x11943),x11943),x11942)
% 7.04/7.27  [1195]~P1(x11953)+E(f12(f14(f8(x11951,x11952,x11953),x11952,x11953),f7(x11951,x11952,x11953),x11953),x11951)
% 7.04/7.27  [1196]~P48(x11963)+P3(f24(f14(x11961,x11962,x11963),x11963),f14(f24(x11961,x11963),f24(x11962,x11963),a2),a2)
% 7.04/7.27  [1198]~P64(x11983)+P3(f6(f14(x11981,x11982,x11983),x11983),f14(f6(x11981,x11983),f6(x11982,x11983),x11983),x11983)
% 7.04/7.27  [1199]~P34(x11993)+P3(f6(f12(x11991,x11992,x11993),x11993),f12(f6(x11991,x11993),f6(x11992,x11993),x11993),x11993)
% 7.04/7.27  [1200]~P34(x12003)+P3(f6(f10(x12001,x12002,x12003),x12003),f12(f6(x12001,x12003),f6(x12002,x12003),x12003),x12003)
% 7.04/7.27  [1201]~P34(x12012)+P3(f10(f6(x12011,x12012),f6(x12013,x12012),x12012),f6(f10(x12011,x12013,x12012),x12012),x12012)
% 7.04/7.27  [1278]~P69(x12781)+P3(f3(x12781),f12(f14(x12782,x12782,x12781),f14(x12783,x12783,x12781),x12781),x12781)
% 7.04/7.27  [1332]~P69(x13321)+~P2(f12(f14(x13322,x13322,x13321),f14(x13323,x13323,x13321),x13321),f3(x13321),x13321)
% 7.04/7.27  [784]~P24(x7842)+E(f12(x7841,f12(f13(x7841,x7842),x7843,x7842),x7842),x7843)
% 7.04/7.27  [871]~P23(x8712)+E(f13(f19(f13(x8711,x8712),f13(x8713,x8712),x8712),x8712),f18(x8711,x8713,x8712))
% 7.04/7.27  [872]~P23(x8722)+E(f13(f18(f13(x8721,x8722),f13(x8723,x8722),x8722),x8722),f19(x8721,x8723,x8722))
% 7.04/7.27  [891]~P70(x8912)+E(f6(f28(f13(x8911,x8912),x8913,x8912),x8912),f6(f28(x8911,x8913,x8912),x8912))
% 7.04/7.27  [896]~P1(x8961)+E(f8(f14(f3(x8961),x8962,x8961),f14(f3(x8961),x8963,x8961),x8961),f3(x8961))
% 7.04/7.27  [973]~P34(x9732)+E(f6(f12(f6(x9731,x9732),f6(x9733,x9732),x9732),x9732),f12(f6(x9731,x9732),f6(x9733,x9732),x9732))
% 7.04/7.27  [987]~P54(x9873)+E(f12(x9871,f14(x9872,x9871,x9873),x9873),f14(f12(x9872,f4(x9873),x9873),x9871,x9873))
% 7.04/7.27  [988]~P54(x9883)+E(f12(f14(x9881,x9882,x9883),x9882,x9883),f14(f12(x9881,f4(x9883),x9883),x9882,x9883))
% 7.04/7.27  [1062]~P5(x10623)+E(f7(f13(f7(x10621,x10622,x10623),x10623),x10622,x10623),f7(f13(x10621,x10623),x10622,x10623))
% 7.04/7.27  [1193]~P1(x11933)+E(f12(f7(x11931,x11932,x11933),f14(f8(x11931,x11932,x11933),x11932,x11933),x11933),x11931)
% 7.04/7.27  [1310]~P34(x13102)+P3(f6(f10(f6(x13101,x13102),f6(x13103,x13102),x13102),x13102),f6(f10(x13101,x13103,x13102),x13102),x13102)
% 7.04/7.27  [925]~P45(x9254)+E(f29(x9251,f29(x9252,x9253,x9254),x9254),f29(f14(x9251,x9252,a2),x9253,x9254))
% 7.04/7.27  [928]~P54(x9284)+E(f14(x9281,f14(x9282,x9283,x9284),x9284),f14(x9282,f14(x9281,x9283,x9284),x9284))
% 7.04/7.27  [929]~P54(x9294)+E(f12(x9291,f12(x9292,x9293,x9294),x9294),f12(x9292,f12(x9291,x9293,x9294),x9294))
% 7.04/7.27  [930]~P16(x9304)+E(f12(x9301,f12(x9302,x9303,x9304),x9304),f12(x9302,f12(x9301,x9303,x9304),x9304))
% 7.04/7.27  [931]~P21(x9314)+E(f12(x9311,f12(x9312,x9313,x9314),x9314),f12(x9312,f12(x9311,x9313,x9314),x9314))
% 7.04/7.27  [933]~P48(x9334)+E(f29(x9331,f14(x9332,x9333,x9334),x9334),f14(x9332,f29(x9331,x9333,x9334),x9334))
% 7.04/7.27  [934]~P43(x9344)+E(f29(x9341,f14(x9342,x9343,x9344),x9344),f14(x9342,f29(x9341,x9343,x9344),x9344))
% 7.04/7.27  [935]~P45(x9354)+E(f29(x9351,f29(x9352,x9353,x9354),x9354),f29(x9352,f29(x9351,x9353,x9354),x9354))
% 7.04/7.27  [937]~P52(x9374)+E(f29(x9371,f29(x9372,x9373,x9374),x9374),f29(x9372,f29(x9371,x9373,x9374),x9374))
% 7.04/7.27  [938]~P9(x9384)+E(f18(x9381,f18(x9382,x9383,x9384),x9384),f18(x9382,f18(x9381,x9383,x9384),x9384))
% 7.04/7.27  [939]~P14(x9394)+E(f18(x9391,f18(x9392,x9393,x9394),x9394),f18(x9392,f18(x9391,x9393,x9394),x9394))
% 7.04/7.27  [940]~P13(x9404)+E(f19(x9401,f19(x9402,x9403,x9404),x9404),f19(x9402,f19(x9401,x9403,x9404),x9404))
% 7.04/7.27  [941]~P14(x9414)+E(f19(x9411,f19(x9412,x9413,x9414),x9414),f19(x9412,f19(x9411,x9413,x9414),x9414))
% 7.04/7.27  [946]~P54(x9463)+E(f14(f14(x9461,x9462,x9463),x9464,x9463),f14(x9461,f14(x9462,x9464,x9463),x9463))
% 7.04/7.27  [947]~P15(x9473)+E(f14(f14(x9471,x9472,x9473),x9474,x9473),f14(x9471,f14(x9472,x9474,x9473),x9473))
% 7.04/7.27  [950]~P48(x9504)+E(f29(x9501,f14(x9502,x9503,x9504),x9504),f14(f29(x9501,x9502,x9504),x9503,x9504))
% 7.04/7.27  [951]~P43(x9514)+E(f29(x9511,f14(x9512,x9513,x9514),x9514),f14(f29(x9511,x9512,x9514),x9513,x9514))
% 7.04/7.27  [952]~P54(x9523)+E(f12(f12(x9521,x9522,x9523),x9524,x9523),f12(x9521,f12(x9522,x9524,x9523),x9523))
% 7.04/7.27  [953]~P21(x9533)+E(f12(f12(x9531,x9532,x9533),x9534,x9533),f12(x9531,f12(x9532,x9534,x9533),x9533))
% 7.04/7.27  [954]~P17(x9543)+E(f12(f12(x9541,x9542,x9543),x9544,x9543),f12(x9541,f12(x9542,x9544,x9543),x9543))
% 7.04/7.27  [955]~P46(x9554)+E(f29(x9551,f9(x9552,x9553,x9554),x9554),f9(f29(x9551,x9552,x9554),x9553,x9554))
% 7.04/7.27  [956]~P9(x9563)+E(f18(f18(x9561,x9562,x9563),x9564,x9563),f18(x9561,f18(x9562,x9564,x9563),x9563))
% 7.04/7.27  [957]~P14(x9573)+E(f18(f18(x9571,x9572,x9573),x9574,x9573),f18(x9571,f18(x9572,x9574,x9573),x9573))
% 7.04/7.27  [958]~P13(x9583)+E(f19(f19(x9581,x9582,x9583),x9584,x9583),f19(x9581,f19(x9582,x9584,x9583),x9583))
% 7.04/7.27  [959]~P14(x9593)+E(f19(f19(x9591,x9592,x9593),x9594,x9593),f19(x9591,f19(x9592,x9594,x9593),x9593))
% 7.04/7.27  [960]~P54(x9603)+E(f14(f14(x9601,x9602,x9603),x9604,x9603),f14(f14(x9601,x9604,x9603),x9602,x9603))
% 7.04/7.27  [961]~P54(x9613)+E(f12(f12(x9611,x9612,x9613),x9614,x9613),f12(f12(x9611,x9614,x9613),x9612,x9613))
% 7.04/7.27  [1109]~P54(x11093)+E(f12(f14(x11091,x11092,x11093),f14(x11091,x11094,x11093),x11093),f14(x11091,f12(x11092,x11094,x11093),x11093))
% 7.04/7.27  [1111]~P48(x11113)+E(f12(f14(x11111,x11112,x11113),f14(x11111,x11114,x11113),x11113),f14(x11111,f12(x11112,x11114,x11113),x11113))
% 7.04/7.27  [1113]~P48(x11133)+E(f10(f14(x11131,x11132,x11133),f14(x11131,x11134,x11133),x11133),f14(x11131,f10(x11132,x11134,x11133),x11133))
% 7.04/7.27  [1114]~P23(x11143)+E(f18(f12(x11141,x11142,x11143),f12(x11141,x11144,x11143),x11143),f12(x11141,f18(x11142,x11144,x11143),x11143))
% 7.04/7.27  [1115]~P27(x11153)+E(f18(f12(x11151,x11152,x11153),f12(x11151,x11154,x11153),x11153),f12(x11151,f18(x11152,x11154,x11153),x11153))
% 7.04/7.27  [1116]~P23(x11163)+E(f19(f12(x11161,x11162,x11163),f12(x11161,x11164,x11163),x11163),f12(x11161,f19(x11162,x11164,x11163),x11163))
% 7.04/7.27  [1117]~P26(x11173)+E(f19(f12(x11171,x11172,x11173),f12(x11171,x11174,x11173),x11173),f12(x11171,f19(x11172,x11174,x11173),x11173))
% 7.04/7.27  [1118]~P45(x11183)+E(f12(f29(x11181,x11182,x11183),f29(x11181,x11184,x11183),x11183),f29(x11181,f12(x11182,x11184,x11183),x11183))
% 7.04/7.27  [1119]~P52(x11193)+E(f12(f29(x11191,x11192,x11193),f29(x11191,x11194,x11193),x11193),f29(x11191,f12(x11192,x11194,x11193),x11193))
% 7.04/7.27  [1120]~P45(x11203)+E(f10(f29(x11201,x11202,x11203),f29(x11201,x11204,x11203),x11203),f29(x11201,f10(x11202,x11204,x11203),x11203))
% 7.04/7.27  [1121]~P52(x11213)+E(f10(f29(x11211,x11212,x11213),f29(x11211,x11214,x11213),x11213),f29(x11211,f10(x11212,x11214,x11213),x11213))
% 7.04/7.27  [1122]~P11(x11223)+E(f19(f18(x11221,x11222,x11223),f18(x11221,x11224,x11223),x11223),f18(x11221,f19(x11222,x11224,x11223),x11223))
% 7.04/7.27  [1123]~P11(x11233)+E(f18(f19(x11231,x11232,x11233),f19(x11231,x11234,x11233),x11233),f19(x11231,f18(x11232,x11234,x11233),x11233))
% 7.04/7.27  [1126]~P48(x11263)+E(f12(f14(x11261,x11262,x11263),f14(x11264,x11262,x11263),x11263),f14(f12(x11261,x11264,x11263),x11262,x11263))
% 7.04/7.27  [1127]~P55(x11273)+E(f12(f14(x11271,x11272,x11273),f14(x11274,x11272,x11273),x11273),f14(f12(x11271,x11274,x11273),x11272,x11273))
% 7.04/7.27  [1129]~P48(x11293)+E(f10(f14(x11291,x11292,x11293),f14(x11294,x11292,x11293),x11293),f14(f10(x11291,x11294,x11293),x11292,x11293))
% 7.04/7.27  [1130]~P23(x11303)+E(f18(f12(x11301,x11302,x11303),f12(x11304,x11302,x11303),x11303),f12(f18(x11301,x11304,x11303),x11302,x11303))
% 7.04/7.27  [1131]~P27(x11313)+E(f18(f12(x11311,x11312,x11313),f12(x11314,x11312,x11313),x11313),f12(f18(x11311,x11314,x11313),x11312,x11313))
% 7.04/7.27  [1132]~P23(x11323)+E(f19(f12(x11321,x11322,x11323),f12(x11324,x11322,x11323),x11323),f12(f19(x11321,x11324,x11323),x11322,x11323))
% 7.04/7.27  [1133]~P26(x11333)+E(f19(f12(x11331,x11332,x11333),f12(x11334,x11332,x11333),x11333),f12(f19(x11331,x11334,x11333),x11332,x11333))
% 7.04/7.27  [1134]~P8(x11343)+E(f14(f28(x11341,x11342,x11343),f28(x11344,x11342,x11343),x11343),f28(f14(x11341,x11344,x11343),x11342,x11343))
% 7.04/7.27  [1135]~P54(x11353)+E(f14(f28(x11351,x11352,x11353),f28(x11354,x11352,x11353),x11353),f28(f14(x11351,x11354,x11353),x11352,x11353))
% 7.04/7.27  [1136]~P62(x11363)+E(f12(f9(x11361,x11362,x11363),f9(x11364,x11362,x11363),x11363),f9(f12(x11361,x11364,x11363),x11362,x11363))
% 7.04/7.27  [1137]~P46(x11373)+E(f12(f9(x11371,x11372,x11373),f9(x11374,x11372,x11373),x11373),f9(f12(x11371,x11374,x11373),x11372,x11373))
% 7.04/7.27  [1138]~P62(x11383)+E(f10(f9(x11381,x11382,x11383),f9(x11384,x11382,x11383),x11383),f9(f10(x11381,x11384,x11383),x11382,x11383))
% 7.04/7.27  [1139]~P46(x11393)+E(f10(f9(x11391,x11392,x11393),f9(x11394,x11392,x11393),x11393),f9(f10(x11391,x11394,x11393),x11392,x11393))
% 7.04/7.27  [1140]~P11(x11403)+E(f19(f18(x11401,x11402,x11403),f18(x11404,x11402,x11403),x11403),f18(f19(x11401,x11404,x11403),x11402,x11403))
% 7.04/7.27  [1141]~P11(x11413)+E(f18(f19(x11411,x11412,x11413),f19(x11414,x11412,x11413),x11413),f19(f18(x11411,x11414,x11413),x11412,x11413))
% 7.04/7.27  [1142]~P1(x11423)+E(f7(f14(x11421,x11422,x11423),f14(x11421,x11424,x11423),x11423),f14(x11421,f7(x11422,x11424,x11423),x11423))
% 7.04/7.27  [1143]~P1(x11433)+E(f7(f14(x11431,x11432,x11433),f14(x11434,x11432,x11433),x11433),f14(f7(x11431,x11434,x11433),x11432,x11433))
% 7.04/7.27  [1144]~P54(x11443)+E(f12(f14(x11441,x11442,x11443),f14(x11444,x11442,x11443),x11443),f14(f12(x11441,x11444,x11443),x11442,x11443))
% 7.04/7.27  [1328]~P14(x13284)+P3(f18(x13281,f19(x13282,x13283,x13284),x13284),f19(f18(x13281,x13282,x13284),f18(x13281,x13283,x13284),x13284),x13284)
% 7.04/7.27  [1329]~P14(x13293)+P3(f18(f19(x13291,x13292,x13293),f19(x13291,x13294,x13293),x13293),f19(x13291,f18(x13292,x13294,x13293),x13293),x13293)
% 7.04/7.27  [1107]~P1(x11074)+E(f7(f12(x11071,f14(x11072,x11073,x11074),x11074),x11073,x11074),f7(x11071,x11073,x11074))
% 7.04/7.27  [1108]~P1(x11084)+E(f7(f12(x11081,f14(x11082,x11083,x11084),x11084),x11082,x11084),f7(x11081,x11082,x11084))
% 7.04/7.27  [1219]~P1(x12194)+E(f7(f14(x12191,f7(x12192,x12193,x12194),x12194),x12193,x12194),f7(f14(x12191,x12192,x12194),x12193,x12194))
% 7.04/7.27  [1221]~P5(x12214)+E(f7(f10(x12211,f7(x12212,x12213,x12214),x12214),x12213,x12214),f7(f10(x12211,x12212,x12214),x12213,x12214))
% 7.04/7.27  [1224]~P5(x12243)+E(f7(f10(f7(x12241,x12242,x12243),x12244,x12243),x12242,x12243),f7(f10(x12241,x12244,x12243),x12242,x12243))
% 7.04/7.27  [1225]~P1(x12254)+E(f7(f12(x12251,f7(x12252,x12253,x12254),x12254),x12253,x12254),f7(f12(x12251,x12252,x12254),x12253,x12254))
% 7.04/7.27  [1226]~P1(x12263)+E(f7(f14(f7(x12261,x12262,x12263),x12264,x12263),x12262,x12263),f7(f14(x12261,x12264,x12263),x12262,x12263))
% 7.04/7.27  [1227]~P1(x12273)+E(f7(f12(f7(x12271,x12272,x12273),x12274,x12273),x12272,x12273),f7(f12(x12271,x12274,x12273),x12272,x12273))
% 7.04/7.27  [1311]~P1(x13113)+E(f7(f14(f7(x13111,x13112,x13113),f7(x13114,x13112,x13113),x13113),x13112,x13113),f7(f14(x13111,x13114,x13113),x13112,x13113))
% 7.04/7.27  [1312]~P1(x13123)+E(f7(f12(f7(x13121,x13122,x13123),f7(x13124,x13122,x13123),x13123),x13122,x13123),f7(f12(x13121,x13124,x13123),x13122,x13123))
% 7.04/7.27  [1313]~P5(x13133)+E(f7(f10(f7(x13131,x13132,x13133),f7(x13134,x13132,x13133),x13133),x13132,x13133),f7(f10(x13131,x13134,x13133),x13132,x13133))
% 7.04/7.27  [1338]~P1(x13383)+E(f12(f12(f14(x13381,f8(x13382,x13381,x13383),x13383),f7(x13382,x13381,x13383),x13383),x13384,x13383),f12(x13382,x13384,x13383))
% 7.04/7.27  [1339]~P1(x13393)+E(f12(f12(f14(f8(x13391,x13392,x13393),x13392,x13393),f7(x13391,x13392,x13393),x13393),x13394,x13393),f12(x13391,x13394,x13393))
% 7.04/7.27  [1228]~P54(x12283)+E(f14(f14(x12281,x12282,x12283),f14(x12284,x12285,x12283),x12283),f14(f14(x12281,x12284,x12283),f14(x12282,x12285,x12283),x12283))
% 7.04/7.27  [1229]~P54(x12293)+E(f12(f12(x12291,x12292,x12293),f12(x12294,x12295,x12293),x12293),f12(f12(x12291,x12294,x12293),f12(x12292,x12295,x12293),x12293))
% 7.04/7.27  [1230]~P16(x12303)+E(f12(f10(x12301,x12302,x12303),f10(x12304,x12305,x12303),x12303),f10(f12(x12301,x12304,x12303),f12(x12302,x12305,x12303),x12303))
% 7.04/7.27  [1325]~P80(x13253)+E(f12(f14(x13251,x13252,x13253),f12(f14(x13254,x13252,x13253),x13255,x13253),x13253),f12(f14(f12(x13251,x13254,x13253),x13252,x13253),x13255,x13253))
% 7.04/7.27  [1355]~P34(x13553)+P3(f6(f10(f12(x13551,x13552,x13553),f12(x13554,x13555,x13553),x13553),x13553),f12(f6(f10(x13551,x13554,x13553),x13553),f6(f10(x13552,x13555,x13553),x13553),x13553),x13553)
% 7.04/7.27  [1356]~P48(x13563)+E(f12(f12(f14(f10(x13561,x13562,x13563),f10(x13564,x13565,x13563),x13563),f14(f10(x13561,x13562,x13563),x13565,x13563),x13563),f14(x13562,f10(x13564,x13565,x13563),x13563),x13563),f10(f14(x13561,x13564,x13563),f14(x13562,x13565,x13563),x13563))
% 7.04/7.27  [1341]~P75(x13413)+E(f12(f14(x13411,x13412,x13413),f12(f14(f10(x13414,x13411,x13413),x13412,x13413),x13415,x13413),x13413),f12(f14(x13414,x13412,x13413),x13415,x13413))
% 7.04/7.27  [1354]~P49(x13544)+E(f12(f14(x13541,f9(f10(x13542,x13543,x13544),x13545,x13544),x13544),f14(f9(f10(x13541,x13546,x13544),x13545,x13544),x13543,x13544),x13544),f9(f10(f14(x13541,x13542,x13544),f14(x13546,x13543,x13544),x13544),x13545,x13544))
% 7.04/7.27  [798]~P3(x7981,a15,a2)+~P3(f3(a2),x7981,a2)+P3(f3(a2),f32(x7981),a2)
% 7.04/7.27  [799]~P2(x7991,a15,a2)+~P2(f3(a2),x7991,a2)+P2(f3(a2),f32(x7991),a2)
% 7.04/7.27  [844]~P2(x8441,f4(a2),a2)+~P2(f3(a2),x8441,a2)+P2(f4(a2),f5(x8441,a2),a2)
% 7.04/7.27  [343]~P58(x3431)+~P62(x3431)+E(f5(f4(x3431),x3431),f4(x3431))
% 7.04/7.27  [344]~P46(x3441)+~P83(x3441)+E(f30(f3(x3441),x3441),f4(x3441))
% 7.04/7.27  [456]E(x4561,f3(a2))+P2(f3(a2),x4561,a2)+E(f11(x4561,a2),f13(f4(a2),a2))
% 7.04/7.27  [508]E(x5081,f4(a2))+~E(f14(x5081,x5081,a2),f4(a2))+E(x5081,f13(f4(a2),a2))
% 7.04/7.27  [691]~P37(x6911)+~P3(f3(x6911),f3(x6911),x6911)+E(f12(f3(x6911),f3(x6911),x6911),f3(x6911))
% 7.04/7.27  [565]E(x5651,x5652)+P2(x5651,x5652,a2)+~P3(x5651,x5652,a2)
% 7.04/7.27  [648]E(x6481,x6482)+~P3(x6482,x6481,a2)+~P3(x6481,x6482,a2)
% 7.04/7.27  [341]~P30(x3412)+~E(f13(x3411,x3412),x3411)+E(x3411,f3(x3412))
% 7.04/7.27  [345]~P52(x3452)+E(x3451,f3(x3452))+~E(f24(x3451,x3452),f3(a2))
% 7.04/7.27  [346]~P31(x3462)+~E(f23(x3461,x3462),f3(x3462))+E(x3461,f3(a2))
% 7.04/7.27  [347]~P57(x3472)+~E(f5(x3471,x3472),f3(x3472))+E(x3471,f3(x3472))
% 7.04/7.27  [348]~P52(x3482)+~E(f11(x3481,x3482),f3(x3482))+E(x3481,f3(x3482))
% 7.04/7.27  [349]~P70(x3492)+~E(f11(x3491,x3492),f3(x3492))+E(x3491,f3(x3492))
% 7.04/7.27  [350]~P24(x3502)+~E(f13(x3501,x3502),f3(x3502))+E(x3501,f3(x3502))
% 7.04/7.27  [351]~P34(x3512)+~E(f6(x3511,x3512),f3(x3512))+E(x3511,f3(x3512))
% 7.04/7.27  [352]~P24(x3521)+~E(f13(x3522,x3521),f3(x3521))+E(f3(x3521),x3522)
% 7.04/7.27  [353]~P46(x3532)+~P83(x3532)+~E(f30(x3531,x3532),f3(x3532))
% 7.04/7.27  [409]~P1(x4092)+E(f8(x4091,x4091,x4092),f4(x4092))+E(x4091,f3(x4092))
% 7.04/7.27  [411]~P62(x4112)+E(f9(x4111,x4111,x4112),f4(x4112))+E(x4111,f3(x4112))
% 7.04/7.27  [432]~P61(x4322)+~P10(x4322)+E(f10(x4321,x4321,x4322),f3(x4322))
% 7.04/7.27  [445]~P53(x4452)+P2(x4451,f3(x4452),x4452)+E(f6(x4451,x4452),x4451)
% 7.04/7.27  [467]~P23(x4672)+P3(x4671,f3(x4672),x4672)+~E(f26(x4671,x4672),x4671)
% 7.04/7.27  [468]~P23(x4681)+P3(f3(x4681),x4682,x4681)+~E(f25(x4682,x4681),x4682)
% 7.04/7.27  [481]~P52(x4812)+E(x4811,f3(x4812))+P2(f3(a2),f24(x4811,x4812),a2)
% 7.04/7.27  [482]~P23(x4822)+P3(x4821,f3(x4822),x4822)+~E(f25(x4821,x4822),f3(x4822))
% 7.04/7.27  [483]~P23(x4831)+P3(f3(x4831),x4832,x4831)+~E(f26(x4832,x4831),f3(x4831))
% 7.04/7.27  [484]~P70(x4841)+P2(f3(x4841),x4842,x4841)+~E(f11(x4842,x4841),f4(x4841))
% 7.04/7.27  [489]~P34(x4892)+P2(f3(x4892),f6(x4891,x4892),x4892)+E(x4891,f3(x4892))
% 7.04/7.27  [498]~P23(x4982)+~E(f12(x4981,x4981,x4982),f3(x4982))+E(x4981,f3(x4982))
% 7.04/7.27  [509]~P54(x5092)+~P4(f3(x5092),x5091,x5092)+E(x5091,f3(x5092))
% 7.04/7.27  [539]~P23(x5392)+~P3(x5391,f3(x5392),x5392)+E(f26(x5391,x5392),x5391)
% 7.04/7.27  [540]~P23(x5402)+~P3(f3(x5402),x5401,x5402)+E(f25(x5401,x5402),x5401)
% 7.04/7.27  [541]~P34(x5412)+~P3(f3(x5412),x5411,x5412)+E(f6(x5411,x5412),x5411)
% 7.04/7.27  [542]~P34(x5422)+~P2(f3(x5422),x5421,x5422)+E(f6(x5421,x5422),x5421)
% 7.04/7.27  [548]~P23(x5482)+~P3(x5481,f3(x5482),x5482)+E(f25(x5481,x5482),f3(x5482))
% 7.04/7.27  [549]~P70(x5492)+~P2(f3(x5492),x5491,x5492)+E(f11(x5491,x5492),f4(x5492))
% 7.04/7.27  [550]~P23(x5502)+~P3(f3(x5502),x5501,x5502)+E(f26(x5501,x5502),f3(x5502))
% 7.04/7.27  [557]E(f20(x5571,x5572),f3(a2))+P2(x5572,f3(a2),a2)+P2(f3(a2),x5572,a2)
% 7.04/7.27  [558]~P34(x5582)+~P3(x5581,f3(x5582),x5582)+E(f6(x5581,x5582),f13(x5581,x5582))
% 7.04/7.27  [559]~P34(x5592)+~P2(x5591,f3(x5592),x5592)+E(f6(x5591,x5592),f13(x5591,x5592))
% 7.04/7.27  [560]~P53(x5602)+~P2(x5601,f3(x5602),x5602)+E(f6(x5601,x5602),f13(x5601,x5602))
% 7.04/7.27  [566]~P52(x5662)+E(x5661,f3(x5662))+~P3(f24(x5661,x5662),f3(a2),a2)
% 7.04/7.27  [585]~P34(x5852)+~P3(f6(x5851,x5852),f3(x5852),x5852)+E(x5851,f3(x5852))
% 7.04/7.27  [692]~P23(x6922)+~P3(x6921,f3(x6922),x6922)+P3(x6921,f13(x6921,x6922),x6922)
% 7.04/7.27  [693]~P30(x6932)+~P3(x6931,f3(x6932),x6932)+P3(x6931,f13(x6931,x6932),x6932)
% 7.04/7.27  [694]~P70(x6942)+~P2(x6941,f3(x6942),x6942)+P2(x6941,f13(x6941,x6942),x6942)
% 7.04/7.27  [695]~P23(x6952)+~P3(f3(x6952),x6951,x6952)+P3(f13(x6951,x6952),x6951,x6952)
% 7.04/7.27  [696]~P30(x6962)+~P3(f3(x6962),x6961,x6962)+P3(f13(x6961,x6962),x6961,x6962)
% 7.04/7.27  [708]~P22(x7081)+~P3(x7082,f3(x7081),x7081)+P3(f3(x7081),f13(x7082,x7081),x7081)
% 7.04/7.27  [709]~P22(x7091)+~P2(x7092,f3(x7091),x7091)+P2(f3(x7091),f13(x7092,x7091),x7091)
% 7.04/7.27  [710]~P60(x7101)+~P2(f3(x7101),x7102,x7101)+P2(f3(x7101),f5(x7102,x7101),x7101)
% 7.04/7.27  [711]~P70(x7111)+~P2(f3(x7111),x7112,x7111)+P2(f3(x7111),f11(x7112,x7111),x7111)
% 7.04/7.27  [712]~P60(x7122)+~P2(x7121,f3(x7122),x7122)+P2(f5(x7121,x7122),f3(x7122),x7122)
% 7.04/7.27  [713]~P70(x7132)+~P2(x7131,f3(x7132),x7132)+P2(f11(x7131,x7132),f3(x7132),x7132)
% 7.04/7.27  [714]~P22(x7142)+~P3(f3(x7142),x7141,x7142)+P3(f13(x7141,x7142),f3(x7142),x7142)
% 7.04/7.27  [715]~P22(x7152)+~P2(f3(x7152),x7151,x7152)+P2(f13(x7151,x7152),f3(x7152),x7152)
% 7.04/7.27  [718]~P23(x7182)+~P3(x7181,f13(x7181,x7182),x7182)+P3(x7181,f3(x7182),x7182)
% 7.04/7.27  [719]~P30(x7192)+~P3(x7191,f13(x7191,x7192),x7192)+P3(x7191,f3(x7192),x7192)
% 7.04/7.27  [720]~P70(x7202)+~P2(x7201,f13(x7201,x7202),x7202)+P2(x7201,f3(x7202),x7202)
% 7.04/7.27  [721]~P23(x7211)+~P3(f13(x7212,x7211),x7212,x7211)+P3(f3(x7211),x7212,x7211)
% 7.04/7.27  [722]~P30(x7221)+~P3(f13(x7222,x7221),x7222,x7221)+P3(f3(x7221),x7222,x7221)
% 7.04/7.27  [738]~P22(x7382)+~P3(f3(x7382),f13(x7381,x7382),x7382)+P3(x7381,f3(x7382),x7382)
% 7.04/7.27  [739]~P22(x7392)+~P2(f3(x7392),f13(x7391,x7392),x7392)+P2(x7391,f3(x7392),x7392)
% 7.04/7.27  [740]~P70(x7402)+~P2(f11(x7401,x7402),f3(x7402),x7402)+P2(x7401,f3(x7402),x7402)
% 7.04/7.27  [741]~P70(x7411)+~P2(f3(x7411),f11(x7412,x7411),x7411)+P2(f3(x7411),x7412,x7411)
% 7.04/7.27  [742]~P22(x7421)+~P3(f13(x7422,x7421),f3(x7421),x7421)+P3(f3(x7421),x7422,x7421)
% 7.04/7.27  [743]~P22(x7431)+~P2(f13(x7432,x7431),f3(x7431),x7431)+P2(f3(x7431),x7432,x7431)
% 7.04/7.27  [845]~P3(f3(a2),x8452,a2)+~P3(f4(a2),x8451,a2)+P3(f4(a2),f17(x8451,x8452),a2)
% 7.04/7.27  [853]~P23(x8531)+~P3(f3(x8531),x8532,x8531)+P3(f3(x8531),f12(x8532,x8532,x8531),x8531)
% 7.04/7.27  [857]~P23(x8571)+~P2(f3(x8571),x8572,x8571)+P2(f3(x8571),f12(x8572,x8572,x8571),x8571)
% 7.04/7.27  [859]~P23(x8592)+~P3(x8591,f3(x8592),x8592)+P3(f12(x8591,x8591,x8592),f3(x8592),x8592)
% 7.04/7.27  [860]~P23(x8602)+~P2(x8601,f3(x8602),x8602)+P2(f12(x8601,x8601,x8602),f3(x8602),x8602)
% 7.04/7.27  [861]~P70(x8612)+~P2(x8611,f3(x8612),x8612)+P2(f12(x8611,x8611,x8612),f3(x8612),x8612)
% 7.04/7.27  [962]~P23(x9622)+~P3(f12(x9621,x9621,x9622),f3(x9622),x9622)+P3(x9621,f3(x9622),x9622)
% 7.04/7.27  [963]~P23(x9632)+~P2(f12(x9631,x9631,x9632),f3(x9632),x9632)+P2(x9631,f3(x9632),x9632)
% 7.04/7.27  [964]~P70(x9642)+~P2(f12(x9641,x9641,x9642),f3(x9642),x9642)+P2(x9641,f3(x9642),x9642)
% 7.04/7.27  [966]~P23(x9661)+~P3(f3(x9661),f12(x9662,x9662,x9661),x9661)+P3(f3(x9661),x9662,x9661)
% 7.04/7.27  [967]~P23(x9671)+~P2(f3(x9671),f12(x9672,x9672,x9671),x9671)+P2(f3(x9671),x9672,x9671)
% 7.04/7.27  [972]~P2(f3(a2),x9722,a2)+~P2(f3(a2),x9721,a2)+P2(f3(a2),f14(x9721,x9722,a2),a2)
% 7.04/7.27  [361]~P57(x3612)+E(x3611,f3(x3612))+E(f5(f5(x3611,x3612),x3612),x3611)
% 7.04/7.27  [365]~P52(x3652)+E(x3651,f3(x3652))+E(f24(f11(x3651,x3652),x3652),f4(a2))
% 7.04/7.27  [366]~P57(x3662)+~P58(x3662)+E(f5(f5(x3661,x3662),x3662),x3661)
% 7.04/7.27  [435]~P61(x4352)+~P10(x4352)+E(f12(x4351,f3(x4352),x4352),x4351)
% 7.04/7.27  [440]~P58(x4402)+~P62(x4402)+E(f9(x4401,f3(x4402),x4402),f3(x4402))
% 7.04/7.27  [455]~P47(x4552)+E(x4551,f3(a2))+E(f23(f5(x4551,a2),x4552),f5(f23(x4551,x4552),x4552))
% 7.04/7.27  [460]~P50(x4602)+E(x4601,f3(x4602))+E(f24(f5(x4601,x4602),x4602),f5(f24(x4601,x4602),a2))
% 7.04/7.27  [461]~P58(x4612)+~P47(x4612)+E(f23(f5(x4611,a2),x4612),f5(f23(x4611,x4612),x4612))
% 7.04/7.27  [469]~P57(x4692)+E(x4691,f3(x4692))+E(f5(f13(x4691,x4692),x4692),f13(f5(x4691,x4692),x4692))
% 7.04/7.27  [470]~P60(x4702)+E(x4701,f3(x4702))+E(f6(f5(x4701,x4702),x4702),f5(f6(x4701,x4702),x4702))
% 7.04/7.27  [471]~P58(x4712)+~P50(x4712)+E(f24(f5(x4711,x4712),x4712),f5(f24(x4711,x4712),a2))
% 7.04/7.27  [478]~P57(x4782)+~P58(x4782)+E(f5(f13(x4781,x4782),x4782),f13(f5(x4781,x4782),x4782))
% 7.04/7.27  [479]~P58(x4792)+~P60(x4792)+E(f6(f5(x4791,x4792),x4792),f5(f6(x4791,x4792),x4792))
% 7.04/7.27  [480]~P46(x4802)+~P83(x4802)+E(f30(f13(x4801,x4802),x4802),f5(f30(x4801,x4802),x4802))
% 7.04/7.27  [485]~P57(x4852)+E(x4851,f3(x4852))+E(f14(x4851,f5(x4851,x4852),x4852),f4(x4852))
% 7.04/7.27  [486]~P57(x4862)+E(x4861,f3(x4862))+E(f14(f5(x4861,x4862),x4861,x4862),f4(x4862))
% 7.04/7.27  [487]~P62(x4872)+E(x4871,f3(x4872))+E(f14(f5(x4871,x4872),x4871,x4872),f4(x4872))
% 7.04/7.27  [551]~P70(x5512)+P2(x5511,f3(x5512),x5512)+~E(f11(x5511,x5512),f13(f4(x5512),x5512))
% 7.04/7.27  [563]~P70(x5632)+~P2(x5631,f3(x5632),x5632)+E(f11(x5631,x5632),f13(f4(x5632),x5632))
% 7.04/7.27  [576]~P23(x5762)+E(x5761,f3(x5762))+~E(f18(x5761,f13(x5761,x5762),x5762),f3(x5762))
% 7.04/7.27  [577]~P23(x5772)+E(x5771,f3(x5772))+~E(f19(x5771,f13(x5771,x5772),x5772),f3(x5772))
% 7.04/7.27  [717]~P58(x7171)+~P62(x7171)+E(f9(f14(f3(x7171),x7172,x7171),x7172,x7171),f3(x7171))
% 7.04/7.27  [534]P3(x5342,x5341,x5343)+~P33(x5343)+P3(x5341,x5342,x5343)
% 7.04/7.27  [537]P2(x5372,x5371,x5373)+~P33(x5373)+P3(x5371,x5372,x5373)
% 7.04/7.27  [579]~P39(x5793)+~P2(x5791,x5792,x5793)+P3(x5791,x5792,x5793)
% 7.04/7.27  [580]~P40(x5803)+~P2(x5801,x5802,x5803)+P3(x5801,x5802,x5803)
% 7.04/7.27  [669]~P2(x6693,x6692,x6691)+~P33(x6691)+~P3(x6692,x6693,x6691)
% 7.04/7.27  [671]~P2(x6713,x6712,x6711)+~P33(x6711)+~P2(x6712,x6713,x6711)
% 7.04/7.27  [672]~P2(x6723,x6722,x6721)+~P39(x6721)+~P2(x6722,x6723,x6721)
% 7.04/7.27  [673]~P2(x6733,x6732,x6731)+~P40(x6731)+~P3(x6732,x6733,x6731)
% 7.04/7.27  [675]~P2(x6753,x6752,x6751)+~P40(x6751)+~P2(x6752,x6753,x6751)
% 7.04/7.27  [783]~P3(x7831,x7833,a2)+P3(x7831,x7832,a2)+~P3(x7833,x7832,a2)
% 7.04/7.27  [362]~P31(x3623)+E(x3621,x3622)+~E(f23(x3621,x3623),f23(x3622,x3623))
% 7.04/7.27  [363]~P24(x3633)+E(x3631,x3632)+~E(f13(x3631,x3633),f13(x3632,x3633))
% 7.04/7.27  [364]~P12(x3643)+E(x3641,x3642)+~E(f13(x3641,x3643),f13(x3642,x3643))
% 7.04/7.27  [488]~P32(x4883)+E(x4881,x4882)+~E(f27(x4881,x4882,x4883),f3(a2))
% 7.04/7.27  [494]~P24(x4943)+E(x4941,x4942)+~E(f10(x4941,x4942,x4943),f3(x4943))
% 7.04/7.27  [495]~P16(x4953)+E(x4951,x4952)+~E(f10(x4951,x4952,x4953),f3(x4953))
% 7.04/7.27  [499]~P82(x4992)+~E(f28(x4991,x4993,x4992),f3(x4992))+E(x4991,f3(x4992))
% 7.04/7.27  [501]~P70(x5013)+P4(x5011,x5012,x5013)+~E(f6(x5011,x5013),f6(x5012,x5013))
% 7.04/7.27  [521]~P24(x5213)+~E(f12(x5211,x5212,x5213),f3(x5213))+E(x5211,f13(x5212,x5213))
% 7.04/7.27  [522]~P57(x5222)+~E(f14(x5221,x5223,x5222),f4(x5222))+E(f5(x5221,x5222),x5223)
% 7.04/7.27  [523]~P24(x5232)+~E(f12(x5231,x5233,x5232),f3(x5232))+E(f13(x5231,x5232),x5233)
% 7.04/7.27  [581]~P9(x5813)+~P3(x5811,x5812,x5813)+E(f18(x5811,x5812,x5813),x5812)
% 7.04/7.27  [582]~P9(x5823)+~P3(x5822,x5821,x5823)+E(f18(x5821,x5822,x5823),x5821)
% 7.04/7.27  [583]~P13(x5833)+~P3(x5832,x5831,x5833)+E(f19(x5831,x5832,x5833),x5832)
% 7.04/7.27  [584]~P13(x5843)+~P3(x5841,x5842,x5843)+E(f19(x5841,x5842,x5843),x5841)
% 7.04/7.27  [591]~P9(x5913)+P3(x5911,x5912,x5913)+~E(f18(x5911,x5912,x5913),x5912)
% 7.04/7.27  [592]~P13(x5923)+P3(x5921,x5922,x5923)+~E(f19(x5921,x5922,x5923),x5921)
% 7.04/7.27  [613]~P1(x6133)+~P4(x6132,x6131,x6133)+E(f7(x6131,x6132,x6133),f3(x6133))
% 7.04/7.27  [614]~P1(x6143)+P4(x6141,x6142,x6143)+~E(f7(x6142,x6141,x6143),f3(x6143))
% 7.04/7.27  [654]E(x6541,x6542)+~E(f14(x6543,x6541,a2),f14(x6543,x6542,a2))+E(x6543,f3(a2))
% 7.04/7.27  [655]E(x6551,x6552)+~E(f14(x6551,x6553,a2),f14(x6552,x6553,a2))+E(x6553,f3(a2))
% 7.04/7.27  [656]~P32(x6563)+E(x6561,x6562)+P2(f3(a2),f27(x6561,x6562,x6563),a2)
% 7.04/7.27  [658]~P56(x6583)+~P4(x6581,x6582,x6583)+P4(x6581,f13(x6582,x6583),x6583)
% 7.04/7.27  [659]~P70(x6593)+~P4(x6591,x6592,x6593)+P4(x6591,f6(x6592,x6593),x6593)
% 7.04/7.27  [660]~P56(x6602)+~P4(x6601,x6603,x6602)+P4(f13(x6601,x6602),x6603,x6602)
% 7.04/7.27  [661]~P70(x6612)+~P4(x6611,x6613,x6612)+P4(f6(x6611,x6612),x6613,x6612)
% 7.04/7.27  [701]~P70(x7013)+P4(x7011,x7012,x7013)+~P4(x7011,f6(x7012,x7013),x7013)
% 7.04/7.27  [702]~P56(x7023)+P4(x7021,x7022,x7023)+~P4(x7021,f13(x7022,x7023),x7023)
% 7.04/7.27  [703]~P70(x7033)+P4(x7031,x7032,x7033)+~P4(f6(x7031,x7033),x7032,x7033)
% 7.04/7.27  [704]~P56(x7043)+P4(x7041,x7042,x7043)+~P4(f13(x7041,x7043),x7042,x7043)
% 7.04/7.27  [705]~P34(x7053)+P3(x7051,x7052,x7053)+~P3(f6(x7051,x7053),x7052,x7053)
% 7.04/7.27  [706]~P70(x7063)+P2(x7061,x7062,x7063)+~P2(f6(x7061,x7063),x7062,x7063)
% 7.04/7.27  [735]~P22(x7352)+~P3(x7353,x7351,x7352)+P3(f13(x7351,x7352),f13(x7353,x7352),x7352)
% 7.04/7.27  [736]~P22(x7362)+~P2(x7363,x7361,x7362)+P2(f13(x7361,x7362),f13(x7363,x7362),x7362)
% 7.04/7.27  [772]~P22(x7723)+~P3(x7722,f13(x7721,x7723),x7723)+P3(x7721,f13(x7722,x7723),x7723)
% 7.04/7.27  [774]~P22(x7743)+~P2(x7742,f13(x7741,x7743),x7743)+P2(x7741,f13(x7742,x7743),x7743)
% 7.04/7.27  [776]~P22(x7762)+~P3(f13(x7763,x7762),x7761,x7762)+P3(f13(x7761,x7762),x7763,x7762)
% 7.04/7.27  [777]~P34(x7772)+~P3(f6(x7771,x7772),x7773,x7772)+P3(f13(x7771,x7772),x7773,x7772)
% 7.04/7.27  [779]~P22(x7792)+~P2(f13(x7793,x7792),x7791,x7792)+P2(f13(x7791,x7792),x7793,x7792)
% 7.04/7.27  [780]~P70(x7802)+~P2(f6(x7801,x7802),x7803,x7802)+P2(f13(x7801,x7802),x7803,x7802)
% 7.04/7.27  [794]~P22(x7943)+P3(x7941,x7942,x7943)+~P3(f13(x7942,x7943),f13(x7941,x7943),x7943)
% 7.04/7.27  [795]~P22(x7953)+P2(x7951,x7952,x7953)+~P2(f13(x7952,x7953),f13(x7951,x7953),x7953)
% 7.04/7.27  [846]~P22(x8463)+~P3(x8461,x8462,x8463)+P3(f10(x8461,x8462,x8463),f3(x8463),x8463)
% 7.04/7.27  [847]~P22(x8473)+~P2(x8471,x8472,x8473)+P2(f10(x8471,x8472,x8473),f3(x8473),x8473)
% 7.04/7.27  [850]E(x8501,x8502)+~P32(x8503)+~P3(f27(x8501,x8502,x8503),f3(a2),a2)
% 7.04/7.27  [854]~P71(x8541)+~P3(f3(x8541),x8542,x8541)+P3(f3(x8541),f28(x8542,x8543,x8541),x8541)
% 7.04/7.27  [855]~P70(x8551)+~P3(f3(x8551),x8552,x8551)+P3(f3(x8551),f28(x8552,x8553,x8551),x8551)
% 7.04/7.27  [856]~P71(x8561)+~P3(f4(x8561),x8562,x8561)+P3(f4(x8561),f28(x8562,x8563,x8561),x8561)
% 7.04/7.27  [858]~P71(x8581)+~P2(f3(x8581),x8582,x8581)+P2(f3(x8581),f28(x8582,x8583,x8581),x8581)
% 7.04/7.27  [867]~P3(x8672,x8673,a2)+P3(f17(x8671,x8672),f17(x8671,x8673),a2)+~P3(f4(a2),x8671,a2)
% 7.04/7.27  [868]~P3(x8682,x8683,a2)+P3(f17(x8681,x8682),f17(x8681,x8683),a2)+~P2(f4(a2),x8681,a2)
% 7.04/7.27  [870]~P2(x8702,x8703,a2)+P2(f17(x8701,x8702),f17(x8701,x8703),a2)+~P2(f4(a2),x8701,a2)
% 7.04/7.27  [895]~P23(x8953)+~P3(x8951,f13(x8952,x8953),x8953)+P3(f12(x8951,x8952,x8953),f3(x8953),x8953)
% 7.04/7.27  [898]P3(x8981,x8982,a2)+~P3(f17(x8983,x8981),f17(x8983,x8982),a2)+~P2(f4(a2),x8983,a2)
% 7.04/7.27  [900]P2(x9001,x9002,a2)+~P2(f17(x9003,x9001),f17(x9003,x9002),a2)+~P2(f4(a2),x9003,a2)
% 7.04/7.27  [919]~P22(x9193)+P3(x9191,x9192,x9193)+~P3(f10(x9191,x9192,x9193),f3(x9193),x9193)
% 7.04/7.27  [920]~P22(x9203)+P2(x9201,x9202,x9203)+~P2(f10(x9201,x9202,x9203),f3(x9203),x9203)
% 7.04/7.27  [965]~P70(x9652)+~P2(f28(x9651,x9653,x9652),f3(x9652),x9652)+P2(x9651,f3(x9652),x9652)
% 7.04/7.27  [992]~P23(x9923)+~P3(f12(x9921,x9922,x9923),f3(x9923),x9923)+P3(x9921,f13(x9922,x9923),x9923)
% 7.04/7.27  [1103]~P3(x11031,x11033,a2)+P3(f14(x11031,x11032,a2),f14(x11033,x11032,a2),a2)+~P2(f3(a2),x11032,a2)
% 7.04/7.27  [1104]~P3(x11042,x11043,a2)+P3(f14(x11041,x11042,a2),f14(x11041,x11043,a2),a2)+~P2(f3(a2),x11041,a2)
% 7.04/7.27  [1105]~P2(x11051,x11053,a2)+P2(f14(x11051,x11052,a2),f14(x11053,x11052,a2),a2)+~P2(f3(a2),x11052,a2)
% 7.04/7.27  [1106]~P2(x11062,x11063,a2)+P2(f14(x11061,x11062,a2),f14(x11061,x11063,a2),a2)+~P2(f3(a2),x11061,a2)
% 7.04/7.27  [1242]P3(x12421,x12422,a2)+~P3(f14(x12423,x12421,a2),f14(x12423,x12422,a2),a2)+~P2(f3(a2),x12423,a2)
% 7.04/7.27  [1243]P3(x12431,x12432,a2)+~P3(f14(x12431,x12433,a2),f14(x12432,x12433,a2),a2)+~P2(f3(a2),x12433,a2)
% 7.04/7.27  [1244]P2(x12441,x12442,a2)+~P2(f14(x12441,x12443,a2),f14(x12442,x12443,a2),a2)+~P2(f3(a2),x12443,a2)
% 7.04/7.27  [657]~P62(x6572)+E(x6571,f3(x6572))+E(f9(f13(x6573,x6572),f13(x6571,x6572),x6572),f9(x6573,x6571,x6572))
% 7.04/7.27  [664]~P1(x6642)+E(x6641,f3(x6642))+E(f8(f14(x6643,x6641,x6642),x6641,x6642),x6643)
% 7.04/7.27  [665]~P1(x6652)+E(x6651,f3(x6652))+E(f8(f14(x6651,x6653,x6652),x6651,x6652),x6653)
% 7.04/7.27  [666]~P62(x6662)+E(x6661,f3(x6662))+E(f9(f14(x6663,x6661,x6662),x6661,x6662),x6663)
% 7.04/7.27  [667]~P58(x6672)+~P62(x6672)+E(f9(f13(x6671,x6672),f13(x6673,x6672),x6672),f9(x6671,x6673,x6672))
% 7.04/7.27  [707]~P58(x7073)+~P62(x7073)+E(f5(f9(x7071,x7072,x7073),x7073),f9(x7072,x7071,x7073))
% 7.04/7.27  [769]~P62(x7692)+E(x7691,f3(x7692))+E(f9(x7693,f13(x7691,x7692),x7692),f13(f9(x7693,x7691,x7692),x7692))
% 7.04/7.27  [770]~P57(x7702)+E(x7701,f3(x7702))+E(f28(f5(x7701,x7702),x7703,x7702),f5(f28(x7701,x7703,x7702),x7702))
% 7.04/7.27  [781]~P58(x7813)+~P62(x7813)+E(f9(x7811,f13(x7812,x7813),x7813),f13(f9(x7811,x7812,x7813),x7813))
% 7.04/7.27  [782]~P57(x7822)+~P58(x7822)+E(f28(f5(x7821,x7822),x7823,x7822),f5(f28(x7821,x7823,x7822),x7822))
% 7.04/7.27  [820]~P58(x8203)+~P47(x8203)+E(f29(f5(x8201,a2),f5(x8202,x8203),x8203),f5(f29(x8201,x8202,x8203),x8203))
% 7.04/7.27  [821]~P60(x8212)+E(x8211,f3(x8212))+E(f9(f6(x8213,x8212),f6(x8211,x8212),x8212),f6(f9(x8213,x8211,x8212),x8212))
% 7.04/7.27  [823]~P58(x8232)+~P62(x8232)+E(f14(f5(x8231,x8232),f5(x8233,x8232),x8232),f5(f14(x8231,x8233,x8232),x8232))
% 7.04/7.27  [824]~P58(x8242)+~P60(x8242)+E(f9(f6(x8241,x8242),f6(x8243,x8242),x8242),f6(f9(x8241,x8243,x8242),x8242))
% 7.04/7.27  [826]~P46(x8262)+~P83(x8262)+E(f9(f30(x8261,x8262),f30(x8263,x8262),x8262),f30(f10(x8261,x8263,x8262),x8262))
% 7.04/7.27  [827]~P46(x8272)+~P83(x8272)+E(f14(f30(x8271,x8272),f30(x8273,x8272),x8272),f30(f12(x8271,x8273,x8272),x8272))
% 7.04/7.27  [842]~P1(x8423)+~P4(x8421,x8422,x8423)+E(f14(x8421,f8(x8422,x8421,x8423),x8423),x8422)
% 7.04/7.27  [843]~P1(x8433)+~P4(x8432,x8431,x8433)+E(f14(f8(x8431,x8432,x8433),x8432,x8433),x8431)
% 7.04/7.27  [879]~P5(x8793)+~P4(x8792,x8791,x8793)+E(f8(x8791,f13(x8792,x8793),x8793),f13(f8(x8791,x8792,x8793),x8793))
% 7.04/7.27  [880]~P5(x8802)+~P4(x8803,x8801,x8802)+E(f8(f13(x8801,x8802),x8803,x8802),f13(f8(x8801,x8803,x8802),x8802))
% 7.04/7.27  [897]~P70(x8972)+~P3(f3(x8972),x8973,x8972)+E(f14(f6(x8971,x8972),x8973,x8972),f6(f14(x8971,x8973,x8972),x8972))
% 7.04/7.27  [975]~P1(x9752)+E(x9751,f3(x9752))+E(f8(f12(x9753,x9751,x9752),x9751,x9752),f12(f8(x9753,x9751,x9752),f4(x9752),x9752))
% 7.04/7.27  [976]~P1(x9762)+E(x9761,f3(x9762))+E(f8(f12(x9761,x9763,x9762),x9761,x9762),f12(f8(x9763,x9761,x9762),f4(x9762),x9762))
% 7.04/7.27  [1075]~P2(f3(a2),x10753,a2)+~P2(f3(a2),x10751,a2)+E(f14(f17(x10751,x10752),f17(x10753,x10752),a2),f17(f14(x10751,x10753,a2),x10752))
% 7.04/7.27  [1145]~P69(x11452)+E(x11451,f3(x11452))+~E(f12(f14(x11453,x11453,x11452),f14(x11451,x11451,x11452),x11452),f3(x11452))
% 7.04/7.27  [1146]~P69(x11462)+E(x11461,f3(x11462))+~E(f12(f14(x11461,x11461,x11462),f14(x11463,x11463,x11462),x11462),f3(x11462))
% 7.04/7.27  [1189]~P71(x11891)+~P2(f4(x11891),x11892,x11891)+P2(f4(x11891),f14(x11892,f28(x11892,x11893,x11891),x11891),x11891)
% 7.04/7.27  [1261]~P71(x12613)+~P2(f4(x12613),x12611,x12613)+P2(f28(x12611,x12612,x12613),f14(x12611,f28(x12611,x12612,x12613),x12613),x12613)
% 7.04/7.27  [1279]~P69(x12792)+E(x12791,f3(x12792))+P2(f3(x12792),f12(f14(x12793,x12793,x12792),f14(x12791,x12791,x12792),x12792),x12792)
% 7.04/7.27  [1280]~P69(x12802)+E(x12801,f3(x12802))+P2(f3(x12802),f12(f14(x12801,x12801,x12802),f14(x12803,x12803,x12802),x12802),x12802)
% 7.04/7.27  [1333]~P69(x13332)+E(x13331,f3(x13332))+~P3(f12(f14(x13333,x13333,x13332),f14(x13331,x13331,x13332),x13332),f3(x13332),x13332)
% 7.04/7.27  [1334]~P69(x13342)+E(x13341,f3(x13342))+~P3(f12(f14(x13341,x13341,x13342),f14(x13343,x13343,x13342),x13342),f3(x13342),x13342)
% 7.04/7.27  [995]~P58(x9951)+~P62(x9951)+E(f28(f9(f4(x9951),x9952,x9951),x9953,x9951),f9(f4(x9951),f28(x9952,x9953,x9951),x9951))
% 7.04/7.27  [1308]~P60(x13083)+~P2(x13081,x13082,x13083)+P2(x13081,f9(f12(x13081,x13082,x13083),f12(f4(x13083),f4(x13083),x13083),x13083),x13083)
% 7.04/7.27  [1309]~P60(x13093)+~P2(x13091,x13092,x13093)+P2(f9(f12(x13091,x13092,x13093),f12(f4(x13093),f4(x13093),x13093),x13093),x13092,x13093)
% 7.04/7.27  [676]~P19(x6764)+E(x6761,x6762)+~E(f12(x6763,x6761,x6764),f12(x6763,x6762,x6764))
% 7.04/7.27  [677]~P20(x6774)+E(x6771,x6772)+~E(f12(x6773,x6771,x6774),f12(x6773,x6772,x6774))
% 7.04/7.27  [678]~P16(x6784)+E(x6781,x6782)+~E(f10(x6783,x6783,x6784),f10(x6781,x6782,x6784))
% 7.04/7.27  [679]~P20(x6794)+E(x6791,x6792)+~E(f12(x6791,x6793,x6794),f12(x6792,x6793,x6794))
% 7.04/7.27  [680]~P16(x6803)+E(x6801,x6802)+~E(f10(x6801,x6802,x6803),f10(x6804,x6804,x6803))
% 7.04/7.27  [832]~P54(x8324)+~P4(x8321,x8323,x8324)+P4(x8321,f14(x8322,x8323,x8324),x8324)
% 7.04/7.27  [833]~P54(x8334)+~P4(x8331,x8332,x8334)+P4(x8331,f14(x8332,x8333,x8334),x8334)
% 7.04/7.27  [834]~P9(x8344)+~P3(x8341,x8343,x8344)+P3(x8341,f18(x8342,x8343,x8344),x8344)
% 7.04/7.27  [835]~P9(x8354)+~P3(x8351,x8352,x8354)+P3(x8351,f18(x8352,x8353,x8354),x8354)
% 7.04/7.27  [836]~P9(x8364)+~P2(x8361,x8363,x8364)+P2(x8361,f18(x8362,x8363,x8364),x8364)
% 7.04/7.27  [837]~P9(x8374)+~P2(x8371,x8372,x8374)+P2(x8371,f18(x8372,x8373,x8374),x8374)
% 7.04/7.27  [838]~P13(x8383)+~P3(x8382,x8384,x8383)+P3(f19(x8381,x8382,x8383),x8384,x8383)
% 7.04/7.27  [839]~P13(x8393)+~P3(x8391,x8394,x8393)+P3(f19(x8391,x8392,x8393),x8394,x8393)
% 7.04/7.27  [840]~P13(x8403)+~P2(x8402,x8404,x8403)+P2(f19(x8401,x8402,x8403),x8404,x8403)
% 7.04/7.27  [841]~P13(x8413)+~P2(x8411,x8414,x8413)+P2(f19(x8411,x8412,x8413),x8414,x8413)
% 7.04/7.27  [904]~P13(x9043)+P3(x9041,x9042,x9043)+~P3(x9041,f19(x9044,x9042,x9043),x9043)
% 7.04/7.27  [906]~P13(x9063)+P3(x9061,x9062,x9063)+~P3(x9061,f19(x9062,x9064,x9063),x9063)
% 7.04/7.27  [907]~P54(x9073)+P4(x9071,x9072,x9073)+~P4(f14(x9074,x9071,x9073),x9072,x9073)
% 7.04/7.27  [908]~P54(x9083)+P4(x9081,x9082,x9083)+~P4(f14(x9081,x9084,x9083),x9082,x9083)
% 7.04/7.27  [910]~P9(x9103)+P3(x9101,x9102,x9103)+~P3(f18(x9104,x9101,x9103),x9102,x9103)
% 7.04/7.27  [912]~P9(x9123)+P3(x9121,x9122,x9123)+~P3(f18(x9121,x9124,x9123),x9122,x9123)
% 7.04/7.27  [1004]~P61(x10043)+~P4(x10041,x10044,x10043)+P4(f14(x10041,x10042,x10043),f14(x10044,x10042,x10043),x10043)
% 7.04/7.27  [1005]~P61(x10053)+~P4(x10052,x10054,x10053)+P4(f14(x10051,x10052,x10053),f14(x10051,x10054,x10053),x10053)
% 7.04/7.27  [1006]~P54(x10063)+~P4(x10061,x10064,x10063)+P4(f28(x10061,x10062,x10063),f28(x10064,x10062,x10063),x10063)
% 7.04/7.27  [1007]~P35(x10073)+~P3(x10071,x10074,x10073)+P3(f12(x10071,x10072,x10073),f12(x10074,x10072,x10073),x10073)
% 7.04/7.27  [1008]~P36(x10083)+~P3(x10081,x10084,x10083)+P3(f12(x10081,x10082,x10083),f12(x10084,x10082,x10083),x10083)
% 7.04/7.27  [1009]~P35(x10093)+~P3(x10092,x10094,x10093)+P3(f12(x10091,x10092,x10093),f12(x10091,x10094,x10093),x10093)
% 7.04/7.27  [1010]~P36(x10103)+~P3(x10102,x10104,x10103)+P3(f12(x10101,x10102,x10103),f12(x10101,x10104,x10103),x10103)
% 7.04/7.27  [1011]~P35(x10113)+~P2(x10111,x10114,x10113)+P2(f12(x10111,x10112,x10113),f12(x10114,x10112,x10113),x10113)
% 7.04/7.27  [1012]~P38(x10123)+~P2(x10121,x10124,x10123)+P2(f12(x10121,x10122,x10123),f12(x10124,x10122,x10123),x10123)
% 7.04/7.27  [1013]~P35(x10133)+~P2(x10132,x10134,x10133)+P2(f12(x10131,x10132,x10133),f12(x10131,x10134,x10133),x10133)
% 7.04/7.27  [1014]~P38(x10143)+~P2(x10142,x10144,x10143)+P2(f12(x10141,x10142,x10143),f12(x10141,x10144,x10143),x10143)
% 7.04/7.27  [1185]~P35(x11853)+P3(x11851,x11852,x11853)+~P3(f12(x11854,x11851,x11853),f12(x11854,x11852,x11853),x11853)
% 7.04/7.27  [1186]~P35(x11863)+P3(x11861,x11862,x11863)+~P3(f12(x11861,x11864,x11863),f12(x11862,x11864,x11863),x11863)
% 7.04/7.27  [1187]~P35(x11873)+P2(x11871,x11872,x11873)+~P2(f12(x11874,x11871,x11873),f12(x11874,x11872,x11873),x11873)
% 7.04/7.27  [1188]~P35(x11883)+P2(x11881,x11882,x11883)+~P2(f12(x11881,x11884,x11883),f12(x11882,x11884,x11883),x11883)
% 7.04/7.27  [866]~P16(x8663)+E(x8661,f13(x8662,x8663))+~E(f12(x8661,f12(x8664,x8662,x8663),x8663),x8664)
% 7.04/7.27  [901]~P1(x9013)+~P4(x9014,x9012,x9013)+E(f7(f7(x9011,x9012,x9013),x9014,x9013),f7(x9011,x9014,x9013))
% 7.04/7.27  [968]~P1(x9682)+E(x9681,f3(x9682))+E(f8(f14(x9683,x9681,x9682),f14(x9684,x9681,x9682),x9682),f8(x9683,x9684,x9682))
% 7.04/7.27  [969]~P1(x9692)+E(x9691,f3(x9692))+E(f8(f14(x9691,x9693,x9692),f14(x9691,x9694,x9692),x9692),f8(x9693,x9694,x9692))
% 7.04/7.27  [970]~P58(x9703)+~P62(x9703)+E(f9(f14(x9701,x9702,x9703),x9704,x9703),f14(f9(x9701,x9704,x9703),x9702,x9703))
% 7.04/7.27  [974]~P5(x9742)+~E(f7(x9741,x9743,x9742),f7(x9744,x9743,x9742))+E(f7(f13(x9741,x9742),x9743,x9742),f7(f13(x9744,x9742),x9743,x9742))
% 7.04/7.27  [1095]~P1(x10953)+~P4(x10954,x10951,x10953)+E(f8(f14(x10951,x10952,x10953),x10954,x10953),f14(f8(x10951,x10954,x10953),x10952,x10953))
% 7.04/7.27  [1147]~P62(x11472)+E(x11471,f3(x11472))+E(f9(f28(x11473,x11474,x11472),f28(x11471,x11474,x11472),x11472),f28(f9(x11473,x11471,x11472),x11474,x11472))
% 7.04/7.27  [1148]~P58(x11483)+~P62(x11483)+E(f9(f28(x11481,x11482,x11483),f28(x11484,x11482,x11483),x11483),f28(f9(x11481,x11484,x11483),x11482,x11483))
% 7.04/7.27  [1184]~P25(x11844)+~P3(f12(x11841,x11843,x11844),x11842,x11844)+P3(x11841,f12(x11842,f6(x11843,x11844),x11844),x11844)
% 7.04/7.27  [1206]~P1(x12063)+~P4(x12064,x12061,x12063)+E(f8(f28(x12061,x12062,x12063),f28(x12064,x12062,x12063),x12063),f28(f8(x12061,x12064,x12063),x12062,x12063))
% 7.04/7.27  [1238]~P61(x12383)+~P10(x12383)+E(f12(f14(x12381,x12382,x12383),f14(x12381,x12384,x12383),x12383),f12(f14(x12381,x12384,x12383),f14(x12381,x12382,x12383),x12383))
% 7.04/7.27  [1282]~P70(x12824)+P2(x12821,f12(x12822,x12823,x12824),x12824)+~P2(f6(f10(x12821,x12822,x12824),x12824),x12823,x12824)
% 7.04/7.27  [1283]~P70(x12833)+P2(f10(x12831,x12832,x12833),x12834,x12833)+~P2(f6(f10(x12834,x12831,x12833),x12833),x12832,x12833)
% 7.04/7.27  [1235]~P1(x12352)+E(x12351,f3(x12352))+E(f8(f12(x12353,f14(x12354,x12351,x12352),x12352),x12351,x12352),f12(x12354,f8(x12353,x12351,x12352),x12352))
% 7.04/7.27  [1236]~P1(x12362)+E(x12361,f3(x12362))+E(f8(f12(x12363,f14(x12361,x12364,x12362),x12362),x12361,x12362),f12(x12364,f8(x12363,x12361,x12362),x12362))
% 7.04/7.27  [1092]~P16(x10923)+E(f12(x10921,x10922,x10923),x10924)+~E(f12(x10921,f12(x10925,x10922,x10923),x10923),f12(x10925,x10924,x10923))
% 7.04/7.27  [1239]~P58(x12393)+~P62(x12393)+E(f9(f14(x12391,x12392,x12393),f14(x12394,x12395,x12393),x12393),f14(f9(x12391,x12394,x12393),f9(x12392,x12395,x12393),x12393))
% 7.04/7.27  [1326]~P75(x13264)+~E(f12(f14(x13263,x13265,x13264),x13261,x13264),f12(f14(x13262,x13265,x13264),x13266,x13264))+E(x13261,f12(f14(f10(x13262,x13263,x13264),x13265,x13264),x13266,x13264))
% 7.04/7.27  [1327]~P75(x13273)+~E(f12(f14(x13271,x13274,x13273),x13275,x13273),f12(f14(x13272,x13274,x13273),x13276,x13273))+E(f12(f14(f10(x13271,x13272,x13273),x13274,x13273),x13275,x13273),x13276)
% 7.04/7.27  [1345]~P73(x13454)+~P3(f12(f14(x13453,x13455,x13454),x13451,x13454),f12(f14(x13452,x13455,x13454),x13456,x13454),x13454)+P3(x13451,f12(f14(f10(x13452,x13453,x13454),x13455,x13454),x13456,x13454),x13454)
% 7.04/7.27  [1346]~P73(x13464)+~P2(f12(f14(x13463,x13465,x13464),x13461,x13464),f12(f14(x13462,x13465,x13464),x13466,x13464),x13464)+P2(x13461,f12(f14(f10(x13462,x13463,x13464),x13465,x13464),x13466,x13464),x13464)
% 7.04/7.27  [1347]~P73(x13473)+~P3(f12(f14(x13471,x13474,x13473),x13475,x13473),f12(f14(x13472,x13474,x13473),x13476,x13473),x13473)+P3(f12(f14(f10(x13471,x13472,x13473),x13474,x13473),x13475,x13473),x13476,x13473)
% 7.04/7.27  [1348]~P73(x13483)+~P2(f12(f14(x13481,x13484,x13483),x13485,x13483),f12(f14(x13482,x13484,x13483),x13486,x13483),x13483)+P2(f12(f14(f10(x13481,x13482,x13483),x13484,x13483),x13485,x13483),x13486,x13483)
% 7.04/7.27  [1349]~P73(x13493)+P3(f12(f14(x13491,x13492,x13493),x13494,x13493),f12(f14(x13495,x13492,x13493),x13496,x13493),x13493)+~P3(x13494,f12(f14(f10(x13495,x13491,x13493),x13492,x13493),x13496,x13493),x13493)
% 7.04/7.27  [1350]~P73(x13503)+P2(f12(f14(x13501,x13502,x13503),x13504,x13503),f12(f14(x13505,x13502,x13503),x13506,x13503),x13503)+~P2(x13504,f12(f14(f10(x13505,x13501,x13503),x13502,x13503),x13506,x13503),x13503)
% 7.04/7.27  [1351]~P73(x13513)+P3(f12(f14(x13511,x13512,x13513),x13514,x13513),f12(f14(x13515,x13512,x13513),x13516,x13513),x13513)+~P3(f12(f14(f10(x13511,x13515,x13513),x13512,x13513),x13514,x13513),x13516,x13513)
% 7.04/7.27  [1352]~P73(x13523)+P2(f12(f14(x13521,x13522,x13523),x13524,x13523),f12(f14(x13525,x13522,x13523),x13526,x13523),x13523)+~P2(f12(f14(f10(x13521,x13525,x13523),x13522,x13523),x13524,x13523),x13526,x13523)
% 7.04/7.27  [360]~P58(x3602)+~P62(x3602)+~E(f5(x3601,x3602),f4(x3602))+E(x3601,f4(x3602))
% 7.04/7.27  [459]~P33(x4592)+~P25(x4592)+P2(x4591,f3(x4592),x4592)+E(f6(x4591,x4592),x4591)
% 7.04/7.27  [554]~P78(x5542)+~P2(f3(x5542),x5541,x5542)+E(f11(x5541,x5542),f4(x5542))+E(x5541,f3(x5542))
% 7.04/7.27  [564]~P33(x5642)+~P25(x5642)+~P2(x5641,f3(x5642),x5642)+E(f6(x5641,x5642),f13(x5641,x5642))
% 7.04/7.27  [726]~P58(x7261)+~P60(x7261)+~P3(f3(x7261),x7262,x7261)+P3(f3(x7261),f5(x7262,x7261),x7261)
% 7.04/7.27  [728]~P58(x7282)+~P60(x7282)+~P3(x7281,f3(x7282),x7282)+P3(f5(x7281,x7282),f3(x7282),x7282)
% 7.04/7.27  [729]~P58(x7292)+~P60(x7292)+~P3(x7291,f3(x7292),x7292)+P3(f5(x7291,x7292),f4(x7292),x7292)
% 7.04/7.27  [731]~P58(x7312)+~P60(x7312)+~P3(x7311,f3(x7312),x7312)+P2(f5(x7311,x7312),f4(x7312),x7312)
% 7.04/7.27  [732]~P58(x7322)+~P60(x7322)+~P3(f4(x7322),x7321,x7322)+P3(f5(x7321,x7322),f4(x7322),x7322)
% 7.04/7.27  [733]~P58(x7332)+~P60(x7332)+~P2(f4(x7332),x7331,x7332)+P2(f5(x7331,x7332),f4(x7332),x7332)
% 7.04/7.27  [759]~P60(x7592)+~P2(f5(x7591,x7592),f3(x7592),x7592)+P2(x7591,f3(x7592),x7592)+E(x7591,f3(x7592))
% 7.04/7.27  [760]~P60(x7602)+~P2(f3(x7602),f5(x7601,x7602),x7602)+P2(f3(x7602),x7601,x7602)+E(x7601,f3(x7602))
% 7.04/7.27  [761]~P58(x7612)+~P60(x7612)+~P3(f4(x7612),f5(x7611,x7612),x7612)+P3(x7611,f4(x7612),x7612)
% 7.04/7.27  [762]~P58(x7622)+~P60(x7622)+~P2(f4(x7622),f5(x7621,x7622),x7622)+P2(x7621,f4(x7622),x7622)
% 7.04/7.27  [763]~P58(x7632)+~P60(x7632)+~P3(f5(x7631,x7632),f3(x7632),x7632)+P3(x7631,f3(x7632),x7632)
% 7.04/7.27  [764]~P58(x7642)+~P60(x7642)+~P2(f5(x7641,x7642),f3(x7642),x7642)+P2(x7641,f3(x7642),x7642)
% 7.04/7.27  [765]~P58(x7651)+~P60(x7651)+~P3(f3(x7651),f5(x7652,x7651),x7651)+P3(f3(x7651),x7652,x7651)
% 7.04/7.27  [766]~P58(x7661)+~P60(x7661)+~P3(f4(x7661),f5(x7662,x7661),x7661)+P2(f3(x7661),x7662,x7661)
% 7.04/7.27  [767]~P58(x7671)+~P60(x7671)+~P2(f3(x7671),f5(x7672,x7671),x7671)+P2(f3(x7671),x7672,x7671)
% 7.04/7.27  [768]~P58(x7681)+~P60(x7681)+~P2(f4(x7681),f5(x7682,x7681),x7681)+P2(f3(x7681),x7682,x7681)
% 7.04/7.27  [913]~P3(x9132,x9131,a2)+~P3(x9131,a15,a2)+P3(f21(x9131),f21(x9132),a2)+~P3(f3(a2),x9132,a2)
% 7.04/7.27  [914]~P2(x9142,x9141,a2)+~P3(x9141,a15,a2)+P2(f21(x9141),f21(x9142),a2)+~P3(f3(a2),x9142,a2)
% 7.04/7.27  [993]~P3(x9931,x9932,a2)+P3(f21(x9931),f21(x9932),a2)+~P3(x9932,f3(a2),a2)+~P3(f13(a15,a2),x9931,a2)
% 7.04/7.27  [994]~P2(x9941,x9942,a2)+P2(f21(x9941),f21(x9942),a2)+~P3(f13(a15,a2),x9941,a2)+~P3(x9942,f3(a2),a2)
% 7.04/7.27  [507]~P78(x5072)+P2(f3(x5072),x5071,x5072)+E(x5071,f3(x5072))+E(f11(x5071,x5072),f13(f4(x5072),x5072))
% 7.04/7.27  [626]~P23(x6262)+~P33(x6262)+P2(x6261,f3(x6262),x6262)+E(f18(x6261,f13(x6261,x6262),x6262),x6261)
% 7.04/7.27  [744]~P23(x7442)+~P33(x7442)+~P2(x7441,f3(x7442),x7442)+E(f18(x7441,f13(x7441,x7442),x7442),f13(x7441,x7442))
% 7.04/7.27  [873]~P58(x8731)+~P60(x8731)+~P3(f3(x8731),x8732,x8731)+P3(f3(x8731),f9(f4(x8731),x8732,x8731),x8731)
% 7.04/7.27  [874]~P58(x8741)+~P60(x8741)+~P2(f3(x8741),x8742,x8741)+P2(f3(x8741),f9(f4(x8741),x8742,x8741),x8741)
% 7.04/7.27  [875]~P58(x8751)+~P60(x8751)+~P3(x8752,f3(x8751),x8751)+P3(f9(f4(x8751),x8752,x8751),f3(x8751),x8751)
% 7.04/7.27  [876]~P58(x8761)+~P60(x8761)+~P2(x8762,f3(x8761),x8761)+P2(f9(f4(x8761),x8762,x8761),f3(x8761),x8761)
% 7.04/7.27  [996]~P58(x9962)+~P60(x9962)+P3(x9961,f3(x9962),x9962)+~P3(f9(f4(x9962),x9961,x9962),f3(x9962),x9962)
% 7.04/7.27  [997]~P58(x9972)+~P60(x9972)+P2(x9971,f3(x9972),x9972)+~P2(f9(f4(x9972),x9971,x9972),f3(x9972),x9972)
% 7.04/7.27  [998]~P58(x9981)+~P60(x9981)+P3(f3(x9981),x9982,x9981)+~P3(f3(x9981),f9(f4(x9981),x9982,x9981),x9981)
% 7.04/7.27  [999]~P58(x9991)+~P60(x9991)+P2(f3(x9991),x9992,x9991)+~P2(f3(x9991),f9(f4(x9991),x9992,x9991),x9991)
% 7.04/7.27  [546]P2(x5461,x5462,x5463)+~P33(x5463)+E(x5461,x5462)+P2(x5462,x5461,x5463)
% 7.04/7.27  [547]P2(x5471,x5472,x5473)+~P70(x5473)+E(x5471,x5472)+P2(x5472,x5471,x5473)
% 7.04/7.27  [595]~P33(x5953)+~P3(x5951,x5952,x5953)+E(x5951,x5952)+P2(x5951,x5952,x5953)
% 7.04/7.27  [601]~P39(x6013)+~P3(x6011,x6012,x6013)+E(x6011,x6012)+P2(x6011,x6012,x6013)
% 7.04/7.27  [684]~P3(x6842,x6841,x6843)+~P3(x6841,x6842,x6843)+E(x6841,x6842)+~P39(x6843)
% 7.04/7.27  [737]P2(x7372,x7371,x7373)+~P40(x7373)+~P3(x7372,x7371,x7373)+P3(x7371,x7372,x7373)
% 7.04/7.27  [367]~P57(x3673)+~P58(x3673)+E(x3671,x3672)+~E(f5(x3671,x3673),f5(x3672,x3673))
% 7.04/7.27  [504]~P62(x5043)+E(x5041,x5042)+~E(f9(x5041,x5042,x5043),f4(x5043))+E(x5042,f3(x5043))
% 7.04/7.27  [505]~P61(x5052)+~P10(x5052)+~E(f12(x5053,x5051,x5052),x5053)+E(x5051,f3(x5052))
% 7.04/7.27  [510]~P45(x5102)+~E(f29(x5103,x5101,x5102),f3(x5102))+E(x5101,f3(x5102))+E(x5103,f3(a2))
% 7.04/7.27  [511]~P61(x5113)+~P10(x5113)+E(x5111,x5112)+~E(f10(x5111,x5112,x5113),f3(x5113))
% 7.04/7.27  [512]~P81(x5122)+~E(f14(x5123,x5121,x5122),f3(x5122))+E(x5121,f3(x5122))+E(x5123,f3(x5122))
% 7.04/7.27  [514]~P68(x5142)+~E(f14(x5143,x5141,x5142),f3(x5142))+E(x5141,f3(x5142))+E(x5143,f3(x5142))
% 7.04/7.27  [725]~P61(x7253)+E(x7251,x7252)+~E(f14(x7251,x7251,x7253),f14(x7252,x7252,x7253))+E(x7251,f13(x7252,x7253))
% 7.04/7.27  [881]~P60(x8812)+~P3(x8813,x8811,x8812)+~P2(x8811,f3(x8812),x8812)+P3(f5(x8811,x8812),f5(x8813,x8812),x8812)
% 7.04/7.27  [882]~P60(x8822)+~P2(x8823,x8821,x8822)+~P2(x8821,f3(x8822),x8822)+P2(f5(x8821,x8822),f5(x8823,x8822),x8822)
% 7.04/7.27  [883]~P60(x8832)+~P3(x8833,x8831,x8832)+~P2(f3(x8832),x8833,x8832)+P3(f5(x8831,x8832),f5(x8833,x8832),x8832)
% 7.04/7.27  [884]~P60(x8842)+~P2(x8843,x8841,x8842)+~P2(f3(x8842),x8843,x8842)+P2(f5(x8841,x8842),f5(x8843,x8842),x8842)
% 7.04/7.27  [893]~P34(x8932)+~P3(x8931,x8933,x8932)+~P3(f13(x8931,x8932),x8933,x8932)+P3(f6(x8931,x8932),x8933,x8932)
% 7.04/7.27  [894]~P70(x8942)+~P2(x8941,x8943,x8942)+~P2(f13(x8941,x8942),x8943,x8942)+P2(f6(x8941,x8942),x8943,x8942)
% 7.04/7.27  [921]~P60(x9213)+P3(x9211,x9212,x9213)+~P2(x9211,f3(x9213),x9213)+~P3(f5(x9212,x9213),f5(x9211,x9213),x9213)
% 7.04/7.27  [922]~P60(x9223)+P2(x9221,x9222,x9223)+~P2(x9221,f3(x9223),x9223)+~P2(f5(x9222,x9223),f5(x9221,x9223),x9223)
% 7.04/7.27  [923]~P60(x9233)+P3(x9231,x9232,x9233)+~P2(f3(x9233),x9232,x9233)+~P3(f5(x9232,x9233),f5(x9231,x9233),x9233)
% 7.04/7.27  [924]~P60(x9243)+P2(x9241,x9242,x9243)+~P2(f3(x9243),x9242,x9243)+~P2(f5(x9242,x9243),f5(x9241,x9243),x9243)
% 7.04/7.27  [971]~P70(x9712)+~P3(f28(x9711,x9713,x9712),f3(x9712),x9712)+P3(x9711,f3(x9712),x9712)+E(x9711,f3(x9712))
% 7.04/7.27  [1015]~P2(x10153,x10151,a2)+P2(f17(x10151,x10152),f17(x10153,x10152),a2)+~P2(x10152,f3(a2),a2)+~P2(f3(a2),x10153,a2)
% 7.04/7.27  [1016]~P3(x10161,x10163,a2)+P3(f17(x10161,x10162),f17(x10163,x10162),a2)+~P3(f3(a2),x10162,a2)+~P2(f3(a2),x10161,a2)
% 7.04/7.27  [1017]~P2(x10171,x10173,a2)+P2(f17(x10171,x10172),f17(x10173,x10172),a2)+~P2(f3(a2),x10172,a2)+~P2(f3(a2),x10171,a2)
% 7.04/7.27  [1018]~P69(x10181)+~P3(x10183,f3(x10181),x10181)+~P3(x10182,f3(x10181),x10181)+P3(f3(x10181),f14(x10182,x10183,x10181),x10181)
% 7.04/7.27  [1020]~P73(x10201)+~P3(x10203,f3(x10201),x10201)+~P3(x10202,f3(x10201),x10201)+P3(f3(x10201),f14(x10202,x10203,x10201),x10201)
% 7.04/7.27  [1021]~P60(x10211)+~P3(x10212,f3(x10211),x10211)+~P2(x10213,f3(x10211),x10211)+P3(f3(x10211),f9(x10212,x10213,x10211),x10211)
% 7.04/7.27  [1022]~P69(x10221)+~P2(x10223,f3(x10221),x10221)+~P2(x10222,f3(x10221),x10221)+P2(f3(x10221),f14(x10222,x10223,x10221),x10221)
% 7.04/7.27  [1023]~P60(x10231)+~P2(x10233,f3(x10231),x10231)+~P2(x10232,f3(x10231),x10231)+P2(f3(x10231),f9(x10232,x10233,x10231),x10231)
% 7.04/7.27  [1024]~P69(x10241)+~P3(f3(x10241),x10243,x10241)+~P3(f3(x10241),x10242,x10241)+P3(f3(x10241),f14(x10242,x10243,x10241),x10241)
% 7.04/7.27  [1025]~P73(x10251)+~P3(f3(x10251),x10253,x10251)+~P3(f3(x10251),x10252,x10251)+P3(f3(x10251),f14(x10252,x10253,x10251),x10251)
% 7.04/7.27  [1026]~P74(x10261)+~P3(f3(x10261),x10263,x10261)+~P3(f3(x10261),x10262,x10261)+P3(f3(x10261),f14(x10262,x10263,x10261),x10261)
% 7.04/7.27  [1027]~P37(x10271)+~P3(f3(x10271),x10273,x10271)+~P3(f3(x10271),x10272,x10271)+P3(f3(x10271),f12(x10272,x10273,x10271),x10271)
% 7.04/7.27  [1028]~P60(x10281)+~P3(f3(x10281),x10282,x10281)+~P2(f3(x10281),x10283,x10281)+P3(f3(x10281),f9(x10282,x10283,x10281),x10281)
% 7.04/7.27  [1029]~P59(x10291)+~P2(f3(x10291),x10293,x10291)+~P2(f3(x10291),x10292,x10291)+P2(f3(x10291),f14(x10292,x10293,x10291),x10291)
% 7.04/7.27  [1030]~P37(x10301)+~P3(f3(x10301),x10303,x10301)+~P2(f3(x10301),x10302,x10301)+P2(f3(x10301),f12(x10302,x10303,x10301),x10301)
% 7.04/7.27  [1031]~P37(x10311)+~P3(f3(x10311),x10312,x10311)+~P2(f3(x10311),x10313,x10311)+P2(f3(x10311),f12(x10312,x10313,x10311),x10311)
% 7.04/7.27  [1032]~P37(x10321)+~P2(f3(x10321),x10323,x10321)+~P2(f3(x10321),x10322,x10321)+P2(f3(x10321),f12(x10322,x10323,x10321),x10321)
% 7.04/7.27  [1033]~P60(x10331)+~P2(f3(x10331),x10333,x10331)+~P2(f3(x10331),x10332,x10331)+P2(f3(x10331),f9(x10332,x10333,x10331),x10331)
% 7.04/7.27  [1034]~P71(x10341)+~P2(f4(x10341),x10343,x10341)+~P2(f4(x10341),x10342,x10341)+P2(f4(x10341),f14(x10342,x10343,x10341),x10341)
% 7.04/7.27  [1035]~P37(x10353)+~P3(x10352,f3(x10353),x10353)+~P3(x10351,f3(x10353),x10353)+P3(f12(x10351,x10352,x10353),f3(x10353),x10353)
% 7.04/7.27  [1036]~P37(x10363)+~P3(x10362,f3(x10363),x10363)+~P2(x10361,f3(x10363),x10363)+P2(f12(x10361,x10362,x10363),f3(x10363),x10363)
% 7.04/7.27  [1037]~P37(x10373)+~P3(x10371,f3(x10373),x10373)+~P2(x10372,f3(x10373),x10373)+P2(f12(x10371,x10372,x10373),f3(x10373),x10373)
% 7.04/7.27  [1038]~P37(x10383)+~P2(x10382,f3(x10383),x10383)+~P2(x10381,f3(x10383),x10383)+P2(f12(x10381,x10382,x10383),f3(x10383),x10383)
% 7.04/7.27  [1039]~P69(x10393)+~P3(x10392,f3(x10393),x10393)+~P3(f3(x10393),x10391,x10393)+P3(f14(x10391,x10392,x10393),f3(x10393),x10393)
% 7.04/7.27  [1040]~P69(x10403)+~P3(x10401,f3(x10403),x10403)+~P3(f3(x10403),x10402,x10403)+P3(f14(x10401,x10402,x10403),f3(x10403),x10403)
% 7.04/7.27  [1042]~P74(x10423)+~P3(x10422,f3(x10423),x10423)+~P3(f3(x10423),x10421,x10423)+P3(f14(x10421,x10422,x10423),f3(x10423),x10423)
% 7.04/7.28  [1045]~P74(x10453)+~P3(x10451,f3(x10453),x10453)+~P3(f3(x10453),x10452,x10453)+P3(f14(x10451,x10452,x10453),f3(x10453),x10453)
% 7.04/7.28  [1046]~P60(x10463)+~P3(x10461,f3(x10463),x10463)+~P2(f3(x10463),x10462,x10463)+P3(f9(x10461,x10462,x10463),f3(x10463),x10463)
% 7.04/7.28  [1047]~P60(x10473)+~P2(x10472,f3(x10473),x10473)+~P3(f3(x10473),x10471,x10473)+P3(f9(x10471,x10472,x10473),f3(x10473),x10473)
% 7.04/7.28  [1048]~P59(x10483)+~P2(x10482,f3(x10483),x10483)+~P2(f3(x10483),x10481,x10483)+P2(f14(x10481,x10482,x10483),f3(x10483),x10483)
% 7.04/7.28  [1050]~P59(x10503)+~P2(x10501,f3(x10503),x10503)+~P2(f3(x10503),x10502,x10503)+P2(f14(x10501,x10502,x10503),f3(x10503),x10503)
% 7.04/7.28  [1051]~P60(x10513)+~P2(x10512,f3(x10513),x10513)+~P2(f3(x10513),x10511,x10513)+P2(f9(x10511,x10512,x10513),f3(x10513),x10513)
% 7.04/7.28  [1052]~P60(x10523)+~P2(x10521,f3(x10523),x10523)+~P2(f3(x10523),x10522,x10523)+P2(f9(x10521,x10522,x10523),f3(x10523),x10523)
% 7.04/7.28  [1063]~P69(x10632)+~P3(f14(x10633,x10631,x10632),f3(x10632),x10632)+P3(x10631,f3(x10632),x10632)+P3(x10633,f3(x10632),x10632)
% 7.04/7.28  [1064]~P69(x10642)+~P3(f3(x10642),f14(x10643,x10641,x10642),x10642)+P3(x10641,f3(x10642),x10642)+P3(f3(x10642),x10643,x10642)
% 7.04/7.28  [1065]~P69(x10652)+~P3(f3(x10652),f14(x10651,x10653,x10652),x10652)+P3(x10651,f3(x10652),x10652)+P3(f3(x10652),x10653,x10652)
% 7.04/7.28  [1066]~P69(x10662)+~P3(f3(x10662),f14(x10663,x10661,x10662),x10662)+P3(x10661,f3(x10662),x10662)+P3(f3(x10662),x10661,x10662)
% 7.04/7.28  [1067]~P69(x10672)+~P3(f3(x10672),f14(x10671,x10673,x10672),x10672)+P3(x10671,f3(x10672),x10672)+P3(f3(x10672),x10671,x10672)
% 7.04/7.28  [1068]~P69(x10682)+~P3(f14(x10683,x10681,x10682),f3(x10682),x10682)+P3(x10681,f3(x10682),x10682)+P3(f3(x10682),x10681,x10682)
% 7.04/7.28  [1069]~P69(x10692)+~P3(f14(x10691,x10693,x10692),f3(x10692),x10692)+P3(x10691,f3(x10692),x10692)+P3(f3(x10692),x10691,x10692)
% 7.04/7.28  [1070]~P69(x10701)+~P3(f14(x10702,x10703,x10701),f3(x10701),x10701)+P3(f3(x10701),x10702,x10701)+P3(f3(x10701),x10703,x10701)
% 7.04/7.28  [1100]~P59(x11001)+~P2(f3(x11001),f14(x11003,x11002,x11001),x11001)+P2(f3(x11001),x11002,x11001)+~P2(f3(x11001),x11003,x11001)
% 7.04/7.28  [1101]~P59(x11011)+~P2(f3(x11011),f14(x11012,x11013,x11011),x11011)+P2(f3(x11011),x11012,x11011)+~P2(f3(x11011),x11013,x11011)
% 7.04/7.28  [687]~P58(x6872)+~P62(x6872)+E(x6871,f3(x6872))+E(f14(f9(x6873,x6871,x6872),x6871,x6872),x6873)
% 7.04/7.28  [822]~P47(x8222)+E(x8221,f3(x8222))+E(x8223,f3(a2))+E(f29(f5(x8223,a2),f5(x8221,x8222),x8222),f5(f29(x8223,x8221,x8222),x8222))
% 7.04/7.28  [828]~P57(x8282)+E(x8281,f3(x8282))+E(x8283,f3(x8282))+E(f14(f5(x8281,x8282),f5(x8283,x8282),x8282),f5(f14(x8283,x8281,x8282),x8282))
% 7.04/7.28  [902]~P58(x9022)+~P60(x9022)+~P2(f3(x9022),x9023,x9022)+E(f9(f6(x9021,x9022),x9023,x9022),f6(f9(x9021,x9023,x9022),x9022))
% 7.04/7.28  [1061]~P50(x10612)+~P3(x10613,f24(x10611,x10612),a2)+~P2(f3(a2),x10613,a2)+P3(f24(f5(x10611,x10612),x10612),f5(x10613,a2),a2)
% 7.04/7.28  [1096]~P77(x10962)+~P3(x10963,f3(x10962),x10962)+~P3(x10961,f3(x10962),x10962)+E(f14(f6(x10961,x10962),f6(x10963,x10962),x10962),f6(f14(x10961,x10963,x10962),x10962))
% 7.04/7.28  [1097]~P77(x10972)+~P3(x10973,f3(x10972),x10972)+~P3(f3(x10972),x10971,x10972)+E(f14(f6(x10971,x10972),f6(x10973,x10972),x10972),f6(f14(x10971,x10973,x10972),x10972))
% 7.04/7.28  [1098]~P77(x10982)+~P3(x10981,f3(x10982),x10982)+~P3(f3(x10982),x10983,x10982)+E(f14(f6(x10981,x10982),f6(x10983,x10982),x10982),f6(f14(x10981,x10983,x10982),x10982))
% 7.04/7.28  [1099]~P77(x10992)+~P3(f3(x10992),x10993,x10992)+~P3(f3(x10992),x10991,x10992)+E(f14(f6(x10991,x10992),f6(x10993,x10992),x10992),f6(f14(x10991,x10993,x10992),x10992))
% 7.04/7.28  [1247]~P57(x12472)+E(x12471,f3(x12472))+E(x12473,f3(x12472))+E(f14(f14(f5(x12473,x12472),f12(x12473,x12471,x12472),x12472),f5(x12471,x12472),x12472),f12(f5(x12473,x12472),f5(x12471,x12472),x12472))
% 7.04/7.28  [1248]~P57(x12482)+E(x12481,f3(x12482))+E(x12483,f3(x12482))+E(f14(f14(f5(x12483,x12482),f10(x12481,x12483,x12482),x12482),f5(x12481,x12482),x12482),f10(f5(x12483,x12482),f5(x12481,x12482),x12482))
% 7.04/7.28  [1249]~P62(x12492)+E(x12491,f3(x12492))+E(x12493,f3(x12492))+E(f14(f14(f12(x12493,x12491,x12492),f5(x12493,x12492),x12492),f5(x12491,x12492),x12492),f12(f5(x12493,x12492),f5(x12491,x12492),x12492))
% 7.04/7.28  [1301]~P71(x13013)+~P2(x13011,f4(x13013),x13013)+~P2(f3(x13013),x13011,x13013)+P2(f14(x13011,f28(x13011,x13012,x13013),x13013),f28(x13011,x13012,x13013),x13013)
% 7.04/7.28  [1337]~P57(x13372)+E(x13371,f3(x13372))+E(x13373,f3(x13372))+E(f13(f14(f14(f5(x13373,x13372),f10(x13373,x13371,x13372),x13372),f5(x13371,x13372),x13372),x13372),f10(f5(x13373,x13372),f5(x13371,x13372),x13372))
% 7.04/7.28  [811]~P54(x8113)+~P4(x8111,x8114,x8113)+P4(x8111,x8112,x8113)+~P4(x8114,x8112,x8113)
% 7.04/7.28  [812]~P39(x8123)+~P3(x8121,x8124,x8123)+P3(x8121,x8122,x8123)+~P3(x8124,x8122,x8123)
% 7.04/7.28  [813]~P40(x8133)+~P3(x8131,x8134,x8133)+P3(x8131,x8132,x8133)+~P3(x8134,x8132,x8133)
% 7.04/7.28  [814]~P39(x8143)+~P2(x8141,x8144,x8143)+P2(x8141,x8142,x8143)+~P3(x8144,x8142,x8143)
% 7.04/7.28  [815]~P39(x8153)+~P2(x8154,x8152,x8153)+P2(x8151,x8152,x8153)+~P3(x8151,x8154,x8153)
% 7.04/7.28  [816]~P39(x8163)+~P2(x8161,x8164,x8163)+P2(x8161,x8162,x8163)+~P2(x8164,x8162,x8163)
% 7.04/7.28  [817]~P40(x8173)+~P2(x8171,x8174,x8173)+P2(x8171,x8172,x8173)+~P3(x8174,x8172,x8173)
% 7.04/7.28  [818]~P40(x8183)+~P2(x8184,x8182,x8183)+P2(x8181,x8182,x8183)+~P3(x8181,x8184,x8183)
% 7.04/7.28  [819]~P40(x8193)+~P2(x8191,x8194,x8193)+P2(x8191,x8192,x8193)+~P2(x8194,x8192,x8193)
% 7.04/7.28  [697]~P45(x6974)+E(x6971,x6972)+~E(f29(x6973,x6971,x6974),f29(x6973,x6972,x6974))+E(x6973,f3(a2))
% 7.04/7.28  [698]~P45(x6984)+E(x6981,x6982)+~E(f29(x6981,x6983,x6984),f29(x6982,x6983,x6984))+E(x6983,f3(x6984))
% 7.04/7.28  [700]~P61(x7004)+~P10(x7004)+E(x7001,x7002)+~E(f12(x7003,x7001,x7004),f12(x7003,x7002,x7004))
% 7.04/7.28  [865]~P71(x8654)+E(x8651,x8652)+~P2(f4(x8654),x8653,x8654)+~E(f28(x8653,x8651,x8654),f28(x8653,x8652,x8654))
% 7.04/7.28  [978]~P1(x9784)+~P4(x9781,x9783,x9784)+~P4(x9781,x9782,x9784)+P4(x9781,f7(x9782,x9783,x9784),x9784)
% 7.04/7.28  [979]~P54(x9794)+~P4(x9791,x9793,x9794)+~P4(x9791,x9792,x9794)+P4(x9791,f12(x9792,x9793,x9794),x9794)
% 7.04/7.28  [980]~P56(x9804)+~P4(x9801,x9803,x9804)+~P4(x9801,x9802,x9804)+P4(x9801,f10(x9802,x9803,x9804),x9804)
% 7.04/7.28  [983]~P13(x9834)+~P3(x9831,x9833,x9834)+~P3(x9831,x9832,x9834)+P3(x9831,f19(x9832,x9833,x9834),x9834)
% 7.04/7.28  [986]~P9(x9863)+~P3(x9862,x9864,x9863)+~P3(x9861,x9864,x9863)+P3(f18(x9861,x9862,x9863),x9864,x9863)
% 7.04/7.28  [991]~P71(x9914)+~P2(x9911,x9913,x9914)+~P2(f3(x9914),x9912,x9914)+P2(x9911,f12(x9912,x9913,x9914),x9914)
% 7.04/7.28  [1094]~P1(x10943)+P4(x10941,x10942,x10943)+~P4(x10941,x10944,x10943)+~P4(x10941,f7(x10942,x10944,x10943),x10943)
% 7.04/7.28  [1160]~P73(x11603)+~P3(x11604,x11601,x11603)+~P3(x11602,f3(x11603),x11603)+P3(f14(x11601,x11602,x11603),f14(x11604,x11602,x11603),x11603)
% 7.04/7.28  [1161]~P69(x11613)+~P3(x11614,x11612,x11613)+~P2(x11611,f3(x11613),x11613)+P3(f14(x11611,x11612,x11613),f14(x11611,x11614,x11613),x11613)
% 7.04/7.28  [1162]~P73(x11623)+~P3(x11624,x11622,x11623)+~P3(x11621,f3(x11623),x11623)+P3(f14(x11621,x11622,x11623),f14(x11621,x11624,x11623),x11623)
% 7.04/7.28  [1164]~P69(x11643)+~P2(x11644,x11641,x11643)+~P2(x11642,f3(x11643),x11643)+P2(f14(x11641,x11642,x11643),f14(x11644,x11642,x11643),x11643)
% 7.04/7.28  [1167]~P69(x11673)+~P2(x11674,x11672,x11673)+~P2(x11671,f3(x11673),x11673)+P2(f14(x11671,x11672,x11673),f14(x11671,x11674,x11673),x11673)
% 7.04/7.28  [1168]~P60(x11683)+~P2(x11684,x11681,x11683)+~P2(x11682,f3(x11683),x11683)+P2(f9(x11681,x11682,x11683),f9(x11684,x11682,x11683),x11683)
% 7.04/7.28  [1169]~P63(x11693)+~P3(x11691,x11694,x11693)+~P3(f3(x11693),x11692,x11693)+P3(f14(x11691,x11692,x11693),f14(x11694,x11692,x11693),x11693)
% 7.04/7.28  [1170]~P69(x11703)+~P3(x11702,x11704,x11703)+~P2(f3(x11703),x11701,x11703)+P3(f14(x11701,x11702,x11703),f14(x11701,x11704,x11703),x11703)
% 7.04/7.28  [1171]~P63(x11713)+~P3(x11712,x11714,x11713)+~P3(f3(x11713),x11711,x11713)+P3(f14(x11711,x11712,x11713),f14(x11711,x11714,x11713),x11713)
% 7.04/7.28  [1172]~P65(x11723)+~P3(x11722,x11724,x11723)+~P3(f3(x11723),x11721,x11723)+P3(f14(x11721,x11722,x11723),f14(x11721,x11724,x11723),x11723)
% 7.04/7.28  [1173]~P71(x11733)+~P3(x11731,x11734,x11733)+~P3(f3(x11733),x11731,x11733)+P3(f28(x11731,x11732,x11733),f28(x11734,x11732,x11733),x11733)
% 7.04/7.28  [1174]~P59(x11743)+~P2(x11741,x11744,x11743)+~P2(f3(x11743),x11742,x11743)+P2(f14(x11741,x11742,x11743),f14(x11744,x11742,x11743),x11743)
% 7.04/7.28  [1175]~P69(x11753)+~P2(x11751,x11754,x11753)+~P2(f3(x11753),x11752,x11753)+P2(f14(x11751,x11752,x11753),f14(x11754,x11752,x11753),x11753)
% 7.04/7.28  [1176]~P59(x11763)+~P2(x11762,x11764,x11763)+~P2(f3(x11763),x11761,x11763)+P2(f14(x11761,x11762,x11763),f14(x11761,x11764,x11763),x11763)
% 7.04/7.28  [1178]~P69(x11783)+~P2(x11782,x11784,x11783)+~P2(f3(x11783),x11781,x11783)+P2(f14(x11781,x11782,x11783),f14(x11781,x11784,x11783),x11783)
% 7.04/7.28  [1179]~P66(x11793)+~P2(x11792,x11794,x11793)+~P2(f3(x11793),x11791,x11793)+P2(f14(x11791,x11792,x11793),f14(x11791,x11794,x11793),x11793)
% 7.04/7.28  [1180]~P60(x11803)+~P2(x11801,x11804,x11803)+~P2(f3(x11803),x11802,x11803)+P2(f9(x11801,x11802,x11803),f9(x11804,x11802,x11803),x11803)
% 7.04/7.28  [1190]~P61(x11902)+P4(x11903,x11904,x11902)+~P4(f14(x11901,x11903,x11902),f14(x11901,x11904,x11902),x11902)+E(x11901,f3(x11902))
% 7.04/7.28  [1191]~P61(x11912)+P4(x11913,x11914,x11912)+~P4(f14(x11913,x11911,x11912),f14(x11914,x11911,x11912),x11912)+E(x11911,f3(x11912))
% 7.04/7.28  [1202]~P60(x12024)+~P2(f3(x12024),x12023,x12024)+~P3(f14(x12021,x12023,x12024),x12022,x12024)+P3(x12021,f9(x12022,x12023,x12024),x12024)
% 7.04/7.28  [1203]~P60(x12034)+~P2(f3(x12034),x12033,x12034)+~P2(f14(x12031,x12033,x12034),x12032,x12034)+P2(x12031,f9(x12032,x12033,x12034),x12034)
% 7.04/7.28  [1204]~P60(x12043)+~P2(f3(x12043),x12042,x12043)+~P3(x12041,f14(x12044,x12042,x12043),x12043)+P3(f9(x12041,x12042,x12043),x12044,x12043)
% 7.04/7.28  [1205]~P60(x12053)+~P2(f3(x12053),x12052,x12053)+~P2(x12051,f14(x12054,x12052,x12053),x12053)+P2(f9(x12051,x12052,x12053),x12054,x12053)
% 7.04/7.28  [1217]P2(x12172,x12171,x12173)+~P69(x12173)+P2(x12171,x12172,x12173)+~P2(f14(x12174,x12171,x12173),f14(x12174,x12172,x12173),x12173)
% 7.04/7.28  [1218]P2(x12182,x12181,x12183)+~P69(x12183)+P2(x12181,x12182,x12183)+~P2(f14(x12181,x12184,x12183),f14(x12182,x12184,x12183),x12183)
% 7.04/7.28  [1231]~P69(x12313)+P2(x12311,x12312,x12313)+~P2(f14(x12311,x12314,x12313),f14(x12312,x12314,x12313),x12313)+P2(x12314,f3(x12313),x12313)
% 7.04/7.28  [1232]~P69(x12323)+P2(x12321,x12322,x12323)+~P2(f14(x12324,x12321,x12323),f14(x12324,x12322,x12323),x12323)+P2(x12324,f3(x12323),x12323)
% 7.04/7.28  [1233]~P69(x12333)+P2(x12331,x12332,x12333)+~P2(f14(x12334,x12332,x12333),f14(x12334,x12331,x12333),x12333)+P2(f3(x12333),x12334,x12333)
% 7.04/7.28  [1234]~P69(x12343)+P2(x12341,x12342,x12343)+~P2(f14(x12342,x12344,x12343),f14(x12341,x12344,x12343),x12343)+P2(f3(x12343),x12344,x12343)
% 7.04/7.28  [1240]~P69(x12402)+~P2(f14(x12403,x12401,x12402),f14(x12404,x12401,x12402),x12402)+P2(x12401,f3(x12402),x12402)+P2(f3(x12402),x12401,x12402)
% 7.04/7.28  [1241]~P69(x12412)+~P2(f14(x12411,x12413,x12412),f14(x12411,x12414,x12412),x12412)+P2(x12411,f3(x12412),x12412)+P2(f3(x12412),x12411,x12412)
% 7.04/7.28  [1250]~P69(x12503)+P3(x12501,x12502,x12503)+~P3(f14(x12504,x12502,x12503),f14(x12504,x12501,x12503),x12503)+~P2(x12504,f3(x12503),x12503)
% 7.04/7.28  [1251]~P69(x12513)+P2(x12511,x12512,x12513)+~P2(f14(x12514,x12512,x12513),f14(x12514,x12511,x12513),x12513)+~P2(x12514,f3(x12513),x12513)
% 7.04/7.28  [1252]~P59(x12523)+P3(x12521,x12522,x12523)+~P3(f14(x12524,x12521,x12523),f14(x12524,x12522,x12523),x12523)+~P2(f3(x12523),x12524,x12523)
% 7.04/7.28  [1253]~P59(x12533)+P3(x12531,x12532,x12533)+~P3(f14(x12531,x12534,x12533),f14(x12532,x12534,x12533),x12533)+~P2(f3(x12533),x12534,x12533)
% 7.04/7.28  [1254]~P69(x12543)+P3(x12541,x12542,x12543)+~P3(f14(x12544,x12541,x12543),f14(x12544,x12542,x12543),x12543)+~P2(f3(x12543),x12544,x12543)
% 7.04/7.28  [1255]~P59(x12553)+P2(x12551,x12552,x12553)+~P2(f14(x12554,x12551,x12553),f14(x12554,x12552,x12553),x12553)+~P3(f3(x12553),x12554,x12553)
% 7.04/7.28  [1256]~P59(x12563)+P2(x12561,x12562,x12563)+~P2(f14(x12561,x12564,x12563),f14(x12562,x12564,x12563),x12563)+~P3(f3(x12563),x12564,x12563)
% 7.04/7.28  [1257]~P69(x12573)+P2(x12571,x12572,x12573)+~P2(f14(x12574,x12571,x12573),f14(x12574,x12572,x12573),x12573)+~P2(f3(x12573),x12574,x12573)
% 7.04/7.28  [1258]~P71(x12583)+P2(x12581,x12582,x12583)+~P3(f3(x12583),x12582,x12583)+~P2(f28(x12581,x12584,x12583),f28(x12582,x12584,x12583),x12583)
% 7.04/7.28  [1259]~P72(x12593)+P2(x12591,x12592,x12593)+~P2(f14(x12594,x12591,x12593),f14(x12594,x12592,x12593),x12593)+~P3(f3(x12593),x12594,x12593)
% 7.04/7.28  [1260]~P72(x12603)+P2(x12601,x12602,x12603)+~P2(f14(x12601,x12604,x12603),f14(x12602,x12604,x12603),x12603)+~P3(f3(x12603),x12604,x12603)
% 7.04/7.28  [989]~P58(x9892)+~P62(x9892)+E(x9891,f3(x9892))+E(f9(f14(x9893,x9891,x9892),f14(x9894,x9891,x9892),x9892),f9(x9893,x9894,x9892))
% 7.04/7.28  [990]~P58(x9902)+~P62(x9902)+E(x9901,f3(x9902))+E(f9(f14(x9901,x9903,x9902),f14(x9901,x9904,x9902),x9902),f9(x9903,x9904,x9902))
% 7.04/7.28  [1183]~P52(x11832)+E(x11831,f3(x11832))+~P3(x11833,f3(a2),a2)+~P3(f24(x11831,x11832),f14(x11833,f24(x11834,x11832),a2),a2)
% 7.04/7.28  [1281]~P1(x12813)+~P4(x12812,x12814,x12813)+~P4(x12812,x12811,x12813)+E(f12(f8(x12811,x12812,x12813),f8(x12814,x12812,x12813),x12813),f8(f12(x12811,x12814,x12813),x12812,x12813))
% 7.04/7.28  [1322]~P70(x13223)+~P2(x13221,f12(x13222,x13224,x13223),x13223)+~P2(f10(x13222,x13224,x13223),x13221,x13223)+P2(f6(f10(x13221,x13222,x13223),x13223),x13224,x13223)
% 7.04/7.28  [1330]~P2(f14(x13304,x13301,a2),f14(x13302,x13303,a2),a2)+~P2(f3(a2),x13304,a2)+~P2(f3(a2),x13302,a2)+P2(f14(x13301,f5(x13302,a2),a2),f14(x13303,f5(x13304,a2),a2),a2)
% 7.04/7.28  [1331]~P2(f14(x13313,x13312,a2),f14(x13311,x13314,a2),a2)+~P2(f3(a2),x13313,a2)+~P2(f3(a2),x13311,a2)+P2(f14(f5(x13311,a2),x13312,a2),f14(f5(x13313,a2),x13314,a2),a2)
% 7.04/7.28  [1245]~P58(x12452)+~P62(x12452)+E(x12451,f3(x12452))+E(f9(f12(x12453,f14(x12454,x12451,x12452),x12452),x12451,x12452),f12(x12454,f9(x12453,x12451,x12452),x12452))
% 7.04/7.28  [1246]~P58(x12462)+~P62(x12462)+E(x12461,f3(x12462))+E(f9(f12(x12463,f14(x12464,x12461,x12462),x12462),x12461,x12462),f12(f9(x12463,x12461,x12462),x12464,x12462))
% 7.04/7.28  [1353]~P46(x13532)+E(x13531,f3(x13532))+E(x13533,f3(x13532))+E(f13(f14(f14(f5(x13533,x13532),f9(f10(x13533,x13531,x13532),x13534,x13532),x13532),f5(x13531,x13532),x13532),x13532),f9(f10(f5(x13533,x13532),f5(x13531,x13532),x13532),x13534,x13532))
% 7.04/7.28  [915]~P22(x9153)+~P3(x9155,x9154,x9153)+P3(x9151,x9152,x9153)+~E(f10(x9154,x9155,x9153),f10(x9152,x9151,x9153))
% 7.04/7.28  [916]~P22(x9163)+~P3(x9165,x9164,x9163)+P3(x9161,x9162,x9163)+~E(f10(x9162,x9161,x9163),f10(x9164,x9165,x9163))
% 7.04/7.28  [917]~P22(x9173)+~P2(x9174,x9175,x9173)+P2(x9171,x9172,x9173)+~E(f10(x9174,x9175,x9173),f10(x9171,x9172,x9173))
% 7.04/7.28  [918]~P22(x9183)+~P2(x9184,x9185,x9183)+P2(x9181,x9182,x9183)+~E(f10(x9181,x9182,x9183),f10(x9184,x9185,x9183))
% 7.04/7.28  [1149]~P54(x11493)+~P4(x11492,x11495,x11493)+~P4(x11491,x11494,x11493)+P4(f14(x11491,x11492,x11493),f14(x11494,x11495,x11493),x11493)
% 7.04/7.28  [1150]~P36(x11503)+~P3(x11502,x11505,x11503)+~P3(x11501,x11504,x11503)+P3(f12(x11501,x11502,x11503),f12(x11504,x11505,x11503),x11503)
% 7.04/7.28  [1151]~P38(x11513)+~P3(x11512,x11515,x11513)+~P2(x11511,x11514,x11513)+P2(f12(x11511,x11512,x11513),f12(x11514,x11515,x11513),x11513)
% 7.04/7.28  [1152]~P38(x11523)+~P3(x11521,x11524,x11523)+~P2(x11522,x11525,x11523)+P2(f12(x11521,x11522,x11523),f12(x11524,x11525,x11523),x11523)
% 7.04/7.28  [1153]~P38(x11533)+~P2(x11532,x11535,x11533)+~P2(x11531,x11534,x11533)+P2(f12(x11531,x11532,x11533),f12(x11534,x11535,x11533),x11533)
% 7.04/7.28  [1197]~P22(x11974)+~P3(x11975,x11973,x11974)+~P3(x11971,f12(x11972,x11975,x11974),x11974)+P3(x11971,f12(x11972,x11973,x11974),x11974)
% 7.04/7.28  [1284]~P70(x12842)+~P2(f6(x12841,x12842),x12844,x12842)+~P2(f6(x12843,x12842),x12845,x12842)+P2(f14(f6(x12841,x12842),f6(x12843,x12842),x12842),f14(x12844,x12845,x12842),x12842)
% 7.04/7.28  [1296]~P48(x12963)+~P2(f24(x12962,x12963),x12965,a2)+~P2(f24(x12961,x12963),x12964,a2)+P2(f24(f14(x12961,x12962,x12963),x12963),f14(x12964,x12965,a2),a2)
% 7.04/7.28  [1303]~P1(x13033)+~P4(x13035,x13032,x13033)+~P4(x13034,x13031,x13033)+E(f8(f14(x13031,x13032,x13033),f14(x13034,x13035,x13033),x13033),f14(f8(x13031,x13034,x13033),f8(x13032,x13035,x13033),x13033))
% 7.04/7.28  [1335]~P62(x13352)+E(x13351,f3(x13352))+E(x13353,f3(x13352))+E(f9(f12(f14(x13354,x13351,x13352),f14(x13355,x13353,x13352),x13352),f14(x13353,x13351,x13352),x13352),f12(f9(x13354,x13353,x13352),f9(x13355,x13351,x13352),x13352))
% 7.04/7.28  [1336]~P62(x13362)+E(x13361,f3(x13362))+E(x13363,f3(x13362))+E(f9(f10(f14(x13364,x13361,x13362),f14(x13365,x13363,x13362),x13362),f14(x13363,x13361,x13362),x13362),f10(f9(x13364,x13363,x13362),f9(x13365,x13361,x13362),x13362))
% 7.04/7.28  [1298]~P1(x12983)+~E(f7(x12981,x12984,x12983),f7(x12985,x12984,x12983))+~E(f7(x12982,x12984,x12983),f7(x12986,x12984,x12983))+E(f7(f14(x12981,x12982,x12983),x12984,x12983),f7(f14(x12985,x12986,x12983),x12984,x12983))
% 7.04/7.28  [1299]~P1(x12993)+~E(f7(x12991,x12994,x12993),f7(x12995,x12994,x12993))+~E(f7(x12992,x12994,x12993),f7(x12996,x12994,x12993))+E(f7(f12(x12991,x12992,x12993),x12994,x12993),f7(f12(x12995,x12996,x12993),x12994,x12993))
% 7.04/7.28  [1300]~P5(x13003)+~E(f7(x13001,x13004,x13003),f7(x13005,x13004,x13003))+~E(f7(x13002,x13004,x13003),f7(x13006,x13004,x13003))+E(f7(f10(x13001,x13002,x13003),x13004,x13003),f7(f10(x13005,x13006,x13003),x13004,x13003))
% 7.04/7.28  [863]~P58(x8632)+~P60(x8632)+P3(f4(x8632),x8631,x8632)+~P3(f5(x8631,x8632),f4(x8632),x8632)+P3(x8631,f3(x8632),x8632)
% 7.04/7.28  [864]~P58(x8642)+~P60(x8642)+P2(f4(x8642),x8641,x8642)+~P2(f5(x8641,x8642),f4(x8642),x8642)+P3(x8641,f3(x8642),x8642)
% 7.04/7.28  [877]~P58(x8771)+~P60(x8771)+~P2(f3(x8771),x8772,x8771)+~P3(x8772,f4(x8771),x8771)+P3(f4(x8771),f5(x8772,x8771),x8771)
% 7.04/7.28  [878]~P58(x8781)+~P60(x8781)+~P2(f3(x8781),x8782,x8781)+~P2(x8782,f4(x8781),x8781)+P2(f4(x8781),f5(x8782,x8781),x8781)
% 7.04/7.28  [380]~P57(x3803)+E(x3801,x3802)+~E(f5(x3801,x3803),f5(x3802,x3803))+E(x3802,f3(x3803))+E(x3801,f3(x3803))
% 7.04/7.28  [885]~P37(x8852)+~P3(f3(x8852),x8851,x8852)+~P3(f3(x8852),x8853,x8852)+~E(f12(x8853,x8851,x8852),f3(x8852))+E(x8851,f3(x8852))
% 7.04/7.28  [886]~P37(x8862)+~P3(f3(x8862),x8863,x8862)+~P3(f3(x8862),x8861,x8862)+~E(f12(x8861,x8863,x8862),f3(x8862))+E(x8861,f3(x8862))
% 7.04/7.28  [1053]~P58(x10531)+~P60(x10531)+~P3(x10533,f3(x10531),x10531)+~P3(x10532,f3(x10531),x10531)+P3(f3(x10531),f9(x10532,x10533,x10531),x10531)
% 7.04/7.28  [1055]~P58(x10551)+~P60(x10551)+~P3(f3(x10551),x10553,x10551)+~P3(f3(x10551),x10552,x10551)+P3(f3(x10551),f9(x10552,x10553,x10551),x10551)
% 7.04/7.28  [1057]~P58(x10573)+~P60(x10573)+~P3(x10572,f3(x10573),x10573)+~P3(f3(x10573),x10571,x10573)+P3(f9(x10571,x10572,x10573),f3(x10573),x10573)
% 7.04/7.28  [1058]~P58(x10583)+~P60(x10583)+~P3(x10581,f3(x10583),x10583)+~P3(f3(x10583),x10582,x10583)+P3(f9(x10581,x10582,x10583),f3(x10583),x10583)
% 7.04/7.28  [1076]~P58(x10762)+~P60(x10762)+~P3(f9(x10763,x10761,x10762),f3(x10762),x10762)+P3(x10761,f3(x10762),x10762)+P3(x10763,f3(x10762),x10762)
% 7.04/7.28  [1077]~P58(x10772)+~P60(x10772)+~P2(f9(x10773,x10771,x10772),f3(x10772),x10772)+P2(x10771,f3(x10772),x10772)+P2(x10773,f3(x10772),x10772)
% 7.04/7.28  [1078]~P58(x10782)+~P60(x10782)+~P3(f3(x10782),f9(x10783,x10781,x10782),x10782)+P3(x10781,f3(x10782),x10782)+P3(f3(x10782),x10783,x10782)
% 7.04/7.28  [1079]~P58(x10792)+~P60(x10792)+~P3(f3(x10792),f9(x10791,x10793,x10792),x10792)+P3(x10791,f3(x10792),x10792)+P3(f3(x10792),x10793,x10792)
% 7.04/7.28  [1080]~P58(x10802)+~P60(x10802)+~P3(f3(x10802),f9(x10803,x10801,x10802),x10802)+P3(x10801,f3(x10802),x10802)+P3(f3(x10802),x10801,x10802)
% 7.04/7.28  [1081]~P58(x10812)+~P60(x10812)+~P3(f3(x10812),f9(x10811,x10813,x10812),x10812)+P3(x10811,f3(x10812),x10812)+P3(f3(x10812),x10811,x10812)
% 7.04/7.28  [1082]~P58(x10822)+~P60(x10822)+~P2(f3(x10822),f9(x10823,x10821,x10822),x10822)+P2(x10821,f3(x10822),x10822)+P2(f3(x10822),x10823,x10822)
% 7.04/7.28  [1083]~P58(x10832)+~P60(x10832)+~P2(f3(x10832),f9(x10831,x10833,x10832),x10832)+P2(x10831,f3(x10832),x10832)+P2(f3(x10832),x10833,x10832)
% 7.04/7.28  [1084]~P58(x10842)+~P60(x10842)+~P2(f3(x10842),f9(x10843,x10841,x10842),x10842)+P2(x10841,f3(x10842),x10842)+P2(f3(x10842),x10841,x10842)
% 7.04/7.28  [1085]~P58(x10852)+~P60(x10852)+~P2(f3(x10852),f9(x10851,x10853,x10852),x10852)+P2(x10851,f3(x10852),x10852)+P2(f3(x10852),x10851,x10852)
% 7.04/7.28  [1086]~P58(x10862)+~P60(x10862)+~P3(f9(x10863,x10861,x10862),f3(x10862),x10862)+P3(x10861,f3(x10862),x10862)+P3(f3(x10862),x10861,x10862)
% 7.04/7.28  [1087]~P58(x10872)+~P60(x10872)+~P3(f9(x10871,x10873,x10872),f3(x10872),x10872)+P3(x10871,f3(x10872),x10872)+P3(f3(x10872),x10871,x10872)
% 7.04/7.28  [1088]~P58(x10882)+~P60(x10882)+~P2(f9(x10883,x10881,x10882),f3(x10882),x10882)+P2(x10881,f3(x10882),x10882)+P2(f3(x10882),x10881,x10882)
% 7.04/7.28  [1089]~P58(x10892)+~P60(x10892)+~P2(f9(x10891,x10893,x10892),f3(x10892),x10892)+P2(x10891,f3(x10892),x10892)+P2(f3(x10892),x10891,x10892)
% 7.04/7.28  [1090]~P58(x10901)+~P60(x10901)+~P3(f9(x10902,x10903,x10901),f3(x10901),x10901)+P3(f3(x10901),x10902,x10901)+P3(f3(x10901),x10903,x10901)
% 7.04/7.28  [1091]~P58(x10911)+~P60(x10911)+~P2(f9(x10912,x10913,x10911),f3(x10911),x10911)+P2(f3(x10911),x10912,x10911)+P2(f3(x10911),x10913,x10911)
% 7.04/7.28  [1158]~P70(x11583)+~P3(x11581,f4(x11583),x11583)+~P3(f3(x11583),x11582,x11583)+~P3(f3(x11583),x11581,x11583)+P3(f14(x11581,x11582,x11583),x11582,x11583)
% 7.04/7.28  [1159]~P70(x11593)+~P3(x11592,f4(x11593),x11593)+~P3(f3(x11593),x11592,x11593)+~P3(f3(x11593),x11591,x11593)+P3(f14(x11591,x11592,x11593),x11591,x11593)
% 7.04/7.28  [1000]~P35(x10004)+~P21(x10004)+~P3(x10001,x10003,x10004)+~P3(f3(x10004),x10002,x10004)+P3(x10001,f12(x10002,x10003,x10004),x10004)
% 7.04/7.28  [1001]~P35(x10014)+~P21(x10014)+~P3(x10011,x10012,x10014)+~P3(f3(x10014),x10013,x10014)+P3(x10011,f12(x10012,x10013,x10014),x10014)
% 7.04/7.28  [1002]~P35(x10024)+~P21(x10024)+~P3(x10021,x10023,x10024)+~P2(f3(x10024),x10022,x10024)+P2(x10021,f12(x10022,x10023,x10024),x10024)
% 7.04/7.28  [1003]~P35(x10034)+~P21(x10034)+~P2(x10031,x10033,x10034)+~P3(f3(x10034),x10032,x10034)+P2(x10031,f12(x10032,x10033,x10034),x10034)
% 7.04/7.28  [1181]~P58(x11813)+~P60(x11813)+~P3(x11814,x11811,x11813)+~P3(x11812,f3(x11813),x11813)+P3(f9(x11811,x11812,x11813),f9(x11814,x11812,x11813),x11813)
% 7.04/7.28  [1182]~P58(x11823)+~P60(x11823)+~P3(x11821,x11824,x11823)+~P3(f3(x11823),x11822,x11823)+P3(f9(x11821,x11822,x11823),f9(x11824,x11822,x11823),x11823)
% 7.04/7.28  [1207]~P58(x12074)+~P60(x12074)+~P2(f3(x12074),x12073,x12074)+~P3(f9(x12071,x12073,x12074),x12072,x12074)+P3(x12071,f14(x12072,x12073,x12074),x12074)
% 7.04/7.28  [1209]~P58(x12094)+~P60(x12094)+~P2(f3(x12094),x12093,x12094)+~P2(f9(x12091,x12093,x12094),x12092,x12094)+P2(x12091,f14(x12092,x12093,x12094),x12094)
% 7.04/7.28  [1211]~P58(x12113)+~P60(x12113)+~P2(f3(x12113),x12112,x12113)+~P3(x12111,f9(x12114,x12112,x12113),x12113)+P3(f14(x12111,x12112,x12113),x12114,x12113)
% 7.04/7.28  [1213]~P58(x12133)+~P60(x12133)+~P2(f3(x12133),x12132,x12133)+~P2(x12131,f9(x12134,x12132,x12133),x12133)+P2(f14(x12131,x12132,x12133),x12134,x12133)
% 7.04/7.28  [1216]~P1(x12163)+~P4(x12162,x12164,x12163)+~P4(x12162,x12161,x12163)+~P4(x12161,x12164,x12163)+P4(f8(x12161,x12162,x12163),f8(x12164,x12162,x12163),x12163)
% 7.04/7.28  [1297]~P1(x12973)+~P4(x12974,x12971,x12973)+P4(x12971,x12972,x12973)+~P4(x12974,x12972,x12973)+~P4(f8(x12971,x12974,x12973),f8(x12972,x12974,x12973),x12973)
% 7.04/7.28  [1304]~P60(x13043)+~P2(x13042,x13044,x13043)+~P2(x13041,f3(x13043),x13043)+~P2(f3(x13043),f14(x13042,x13044,x13043),x13043)+P2(f9(x13041,x13042,x13043),f9(x13041,x13044,x13043),x13043)
% 7.04/7.28  [1305]~P60(x13053)+~P3(x13054,x13052,x13053)+~P3(f3(x13053),x13051,x13053)+~P2(f3(x13053),f14(x13052,x13054,x13053),x13053)+P3(f9(x13051,x13052,x13053),f9(x13051,x13054,x13053),x13053)
% 7.04/7.28  [1306]~P60(x13063)+~P2(x13064,x13062,x13063)+~P2(f3(x13063),x13061,x13063)+~P2(f3(x13063),f14(x13062,x13064,x13063),x13063)+P2(f9(x13061,x13062,x13063),f9(x13061,x13064,x13063),x13063)
% 7.04/7.28  [887]~P62(x8872)+~E(f9(x8874,x8873,x8872),f9(x8875,x8871,x8872))+E(f14(x8874,x8871,x8872),f14(x8875,x8873,x8872))+E(x8871,f3(x8872))+E(x8873,f3(x8872))
% 7.04/7.28  [888]~P62(x8882)+~E(f14(x8884,x8883,x8882),f14(x8885,x8881,x8882))+E(f9(x8884,x8881,x8882),f9(x8885,x8883,x8882))+E(x8881,f3(x8882))+E(x8883,f3(x8882))
% 7.04/7.28  [1215]~P61(x12154)+~P10(x12154)+E(x12151,x12152)+E(x12153,f3(x12154))+~E(f12(x12155,f14(x12153,x12151,x12154),x12154),f12(x12155,f14(x12153,x12152,x12154),x12154))
% 7.04/7.28  [1324]~P61(x13245)+~P10(x13245)+E(x13241,x13242)+E(x13243,x13244)+~E(f12(f14(x13243,x13241,x13245),f14(x13244,x13242,x13245),x13245),f12(f14(x13243,x13242,x13245),f14(x13244,x13241,x13245),x13245))
% 7.04/7.28  [1343]~P6(x13435)+~P7(x13435)+~P4(x13431,x13434,x13435)+~P4(x13431,f12(x13432,x13436,x13435),x13435)+P4(x13431,f12(f10(x13432,f14(x13433,x13434,x13435),x13435),x13436,x13435),x13435)
% 7.04/7.28  [1344]~P6(x13444)+~P7(x13444)+~P4(x13441,x13445,x13444)+P4(x13441,f12(x13442,x13443,x13444),x13444)+~P4(x13441,f12(f10(x13442,f14(x13446,x13445,x13444),x13444),x13443,x13444),x13444)
% 7.04/7.28  [553]~P67(x5532)+~P84(x5532)+~P68(x5532)+~P42(x5532)+~E(f28(x5531,x5533,x5532),f3(x5532))+E(x5531,f3(x5532))
% 7.04/7.28  [1071]~P58(x10712)+~P60(x10712)+P2(x10711,f3(x10712),x10712)+P2(f3(x10712),x10711,x10712)+~P3(x10713,f3(x10712),x10712)+P3(x10713,f9(x10714,x10711,x10712),x10712)
% 7.04/7.28  [1072]~P58(x10722)+~P60(x10722)+P2(x10721,f3(x10722),x10722)+P2(f3(x10722),x10721,x10722)+~P2(x10723,f3(x10722),x10722)+P2(x10723,f9(x10724,x10721,x10722),x10722)
% 7.04/7.28  [1073]~P58(x10732)+~P60(x10732)+P2(x10731,f3(x10732),x10732)+P2(f3(x10732),x10731,x10732)+~P3(f3(x10732),x10734,x10732)+P3(f9(x10733,x10731,x10732),x10734,x10732)
% 7.04/7.28  [1074]~P58(x10742)+~P60(x10742)+P2(x10741,f3(x10742),x10742)+P2(f3(x10742),x10741,x10742)+~P2(f3(x10742),x10744,x10742)+P2(f9(x10743,x10741,x10742),x10744,x10742)
% 7.04/7.28  [1154]~P58(x11542)+~P60(x11542)+P3(x11541,f3(x11542),x11542)+P2(f3(x11542),x11543,x11542)+~P3(x11541,f9(x11544,x11543,x11542),x11542)+P2(x11543,f3(x11542),x11542)
% 7.04/7.28  [1155]~P58(x11552)+~P60(x11552)+P2(x11551,f3(x11552),x11552)+P2(f3(x11552),x11551,x11552)+~P2(x11553,f9(x11554,x11551,x11552),x11552)+P2(x11553,f3(x11552),x11552)
% 7.04/7.28  [1156]~P58(x11562)+~P60(x11562)+P2(x11561,f3(x11562),x11562)+P2(f3(x11562),x11561,x11562)+~P3(f9(x11564,x11561,x11562),x11563,x11562)+P3(f3(x11562),x11563,x11562)
% 7.04/7.28  [1157]~P58(x11572)+~P60(x11572)+P2(x11571,f3(x11572),x11572)+P2(f3(x11572),x11571,x11572)+~P2(f9(x11574,x11571,x11572),x11573,x11572)+P2(f3(x11572),x11573,x11572)
% 7.04/7.28  [1262]~P58(x12622)+~P60(x12622)+~P3(f14(x12623,x12621,x12622),x12624,x12622)+P2(x12621,f3(x12622),x12622)+~P3(x12623,f3(x12622),x12622)+P3(x12623,f9(x12624,x12621,x12622),x12622)
% 7.04/7.28  [1263]~P58(x12632)+~P60(x12632)+~P2(f14(x12633,x12631,x12632),x12634,x12632)+P2(x12631,f3(x12632),x12632)+~P2(x12633,f3(x12632),x12632)+P2(x12633,f9(x12634,x12631,x12632),x12632)
% 7.04/7.28  [1264]~P58(x12642)+~P60(x12642)+~P3(x12643,f14(x12644,x12641,x12642),x12642)+P2(x12641,f3(x12642),x12642)+~P3(f3(x12642),x12644,x12642)+P3(f9(x12643,x12641,x12642),x12644,x12642)
% 7.04/7.28  [1265]~P58(x12652)+~P60(x12652)+~P2(x12653,f14(x12654,x12651,x12652),x12652)+P2(x12651,f3(x12652),x12652)+~P2(f3(x12652),x12654,x12652)+P2(f9(x12653,x12651,x12652),x12654,x12652)
% 7.04/7.28  [1266]~P58(x12661)+~P60(x12661)+~P3(x12664,f9(x12663,x12662,x12661),x12661)+~P2(x12662,f3(x12661),x12661)+P2(f3(x12661),x12662,x12661)+P3(x12663,f14(x12664,x12662,x12661),x12661)
% 7.04/7.28  [1267]~P58(x12671)+~P60(x12671)+~P3(x12674,f14(x12673,x12672,x12671),x12671)+~P3(x12673,f3(x12671),x12671)+P2(f3(x12671),x12672,x12671)+P3(x12673,f9(x12674,x12672,x12671),x12671)
% 7.04/7.28  [1268]~P58(x12681)+~P60(x12681)+~P3(x12684,f14(x12683,x12682,x12681),x12681)+~P2(x12682,f3(x12681),x12681)+P2(f3(x12681),x12682,x12681)+P3(x12683,f9(x12684,x12682,x12681),x12681)
% 7.04/7.28  [1269]~P58(x12691)+~P60(x12691)+~P2(x12694,f9(x12693,x12692,x12691),x12691)+~P2(x12692,f3(x12691),x12691)+P2(f3(x12691),x12692,x12691)+P2(x12693,f14(x12694,x12692,x12691),x12691)
% 7.04/7.28  [1270]~P58(x12701)+~P60(x12701)+~P2(x12704,f14(x12703,x12702,x12701),x12701)+~P2(x12702,f3(x12701),x12701)+P2(f3(x12701),x12702,x12701)+P2(x12703,f9(x12704,x12702,x12701),x12701)
% 7.04/7.28  [1271]~P58(x12711)+~P60(x12711)+~P2(x12714,f14(x12713,x12712,x12711),x12711)+~P2(x12713,f3(x12711),x12711)+P2(f3(x12711),x12712,x12711)+P2(x12713,f9(x12714,x12712,x12711),x12711)
% 7.04/7.28  [1272]~P58(x12721)+~P60(x12721)+~P3(f9(x12724,x12722,x12721),x12723,x12721)+~P2(x12722,f3(x12721),x12721)+P2(f3(x12721),x12722,x12721)+P3(f14(x12723,x12722,x12721),x12724,x12721)
% 7.04/7.28  [1273]~P58(x12731)+~P60(x12731)+~P3(f14(x12734,x12732,x12731),x12733,x12731)+~P2(x12732,f3(x12731),x12731)+P2(f3(x12731),x12732,x12731)+P3(f9(x12733,x12732,x12731),x12734,x12731)
% 7.04/7.28  [1274]~P58(x12741)+~P60(x12741)+~P2(f9(x12744,x12742,x12741),x12743,x12741)+~P2(x12742,f3(x12741),x12741)+P2(f3(x12741),x12742,x12741)+P2(f14(x12743,x12742,x12741),x12744,x12741)
% 7.04/7.28  [1275]~P58(x12751)+~P60(x12751)+~P2(f14(x12754,x12752,x12751),x12753,x12751)+~P2(x12752,f3(x12751),x12751)+P2(f3(x12751),x12752,x12751)+P2(f9(x12753,x12752,x12751),x12754,x12751)
% 7.04/7.28  [1276]~P58(x12761)+~P60(x12761)+~P3(f14(x12764,x12762,x12761),x12763,x12761)+~P3(f3(x12761),x12764,x12761)+P2(f3(x12761),x12762,x12761)+P3(f9(x12763,x12762,x12761),x12764,x12761)
% 7.04/7.28  [1277]~P58(x12771)+~P60(x12771)+~P2(f14(x12774,x12772,x12771),x12773,x12771)+~P2(f3(x12771),x12774,x12771)+P2(f3(x12771),x12772,x12771)+P2(f9(x12773,x12772,x12771),x12774,x12771)
% 7.04/7.28  [1307]~P58(x13073)+~P60(x13073)+~P3(x13072,x13074,x13073)+~P3(x13071,f3(x13073),x13073)+~P2(f3(x13073),f14(x13072,x13074,x13073),x13073)+P3(f9(x13071,x13072,x13073),f9(x13071,x13074,x13073),x13073)
% 7.04/7.28  [1314]~P58(x13144)+~P60(x13144)+~P3(x13141,f3(x13144),x13144)+~P3(x13142,f14(x13141,x13143,x13144),x13144)+~P3(f14(x13141,x13143,x13144),x13142,x13144)+P3(x13141,f9(x13142,x13143,x13144),x13144)
% 7.04/7.28  [1315]~P58(x13154)+~P60(x13154)+~P2(x13153,f3(x13154),x13154)+~P3(x13152,f14(x13151,x13153,x13154),x13154)+~P3(f14(x13151,x13153,x13154),x13152,x13154)+P3(x13151,f9(x13152,x13153,x13154),x13154)
% 7.04/7.28  [1316]~P58(x13164)+~P60(x13164)+~P2(x13163,f3(x13164),x13164)+~P2(x13162,f14(x13161,x13163,x13164),x13164)+~P2(f14(x13161,x13163,x13164),x13162,x13164)+P2(x13161,f9(x13162,x13163,x13164),x13164)
% 7.04/7.28  [1317]~P58(x13174)+~P60(x13174)+~P2(x13171,f3(x13174),x13174)+~P2(x13172,f14(x13171,x13173,x13174),x13174)+~P2(f14(x13171,x13173,x13174),x13172,x13174)+P2(x13171,f9(x13172,x13173,x13174),x13174)
% 7.04/7.28  [1318]~P58(x13183)+~P60(x13183)+~P2(x13182,f3(x13183),x13183)+~P3(x13181,f14(x13184,x13182,x13183),x13183)+~P3(f14(x13184,x13182,x13183),x13181,x13183)+P3(f9(x13181,x13182,x13183),x13184,x13183)
% 7.04/7.28  [1319]~P58(x13193)+~P60(x13193)+~P2(x13192,f3(x13193),x13193)+~P2(x13191,f14(x13194,x13192,x13193),x13193)+~P2(f14(x13194,x13192,x13193),x13191,x13193)+P2(f9(x13191,x13192,x13193),x13194,x13193)
% 7.04/7.28  [1320]~P58(x13203)+~P60(x13203)+~P3(f3(x13203),x13204,x13203)+~P3(x13201,f14(x13204,x13202,x13203),x13203)+~P3(f14(x13204,x13202,x13203),x13201,x13203)+P3(f9(x13201,x13202,x13203),x13204,x13203)
% 7.04/7.28  [1321]~P58(x13213)+~P60(x13213)+~P2(f3(x13213),x13214,x13213)+~P2(x13211,f14(x13214,x13212,x13213),x13213)+~P2(f14(x13214,x13212,x13213),x13211,x13213)+P2(f9(x13211,x13212,x13213),x13214,x13213)
% 7.04/7.28  [1285]~P76(x12853)+~P3(x12852,x12855,x12853)+~P3(x12851,x12854,x12853)+~P3(f3(x12853),x12854,x12853)+~P3(f3(x12853),x12852,x12853)+P3(f14(x12851,x12852,x12853),f14(x12854,x12855,x12853),x12853)
% 7.04/7.28  [1286]~P76(x12863)+~P3(x12862,x12865,x12863)+~P3(x12861,x12864,x12863)+~P3(f3(x12863),x12862,x12863)+~P3(f3(x12863),x12861,x12863)+P3(f14(x12861,x12862,x12863),f14(x12864,x12865,x12863),x12863)
% 7.04/7.28  [1287]~P60(x12873)+~P3(x12875,x12872,x12873)+~P3(x12871,x12874,x12873)+~P3(f3(x12873),x12871,x12873)+~P2(f3(x12873),x12875,x12873)+P3(f9(x12871,x12872,x12873),f9(x12874,x12875,x12873),x12873)
% 7.04/7.28  [1288]~P59(x12883)+~P3(x12882,x12885,x12883)+~P2(x12881,x12884,x12883)+~P3(f3(x12883),x12881,x12883)+~P2(f3(x12883),x12882,x12883)+P2(f14(x12881,x12882,x12883),f14(x12884,x12885,x12883),x12883)
% 7.04/7.28  [1289]~P59(x12893)+~P3(x12891,x12894,x12893)+~P2(x12892,x12895,x12893)+~P3(f3(x12893),x12892,x12893)+~P2(f3(x12893),x12891,x12893)+P2(f14(x12891,x12892,x12893),f14(x12894,x12895,x12893),x12893)
% 7.04/7.28  [1290]~P59(x12903)+~P2(x12902,x12905,x12903)+~P2(x12901,x12904,x12903)+~P3(f3(x12903),x12902,x12903)+~P3(f3(x12903),x12901,x12903)+P2(f14(x12901,x12902,x12903),f14(x12904,x12905,x12903),x12903)
% 7.04/7.28  [1291]~P59(x12913)+~P2(x12912,x12915,x12913)+~P2(x12911,x12914,x12913)+~P3(f3(x12913),x12912,x12913)+~P2(f3(x12913),x12914,x12913)+P2(f14(x12911,x12912,x12913),f14(x12914,x12915,x12913),x12913)
% 7.04/7.28  [1292]~P60(x12923)+~P3(x12925,x12922,x12923)+~P2(x12921,x12924,x12923)+~P3(f3(x12923),x12921,x12923)+~P2(f3(x12923),x12925,x12923)+P2(f9(x12921,x12922,x12923),f9(x12924,x12925,x12923),x12923)
% 7.04/7.28  [1293]~P60(x12933)+~P3(x12931,x12934,x12933)+~P2(x12935,x12932,x12933)+~P2(f3(x12933),x12935,x12933)+~P2(f3(x12933),x12931,x12933)+P2(f9(x12931,x12932,x12933),f9(x12934,x12935,x12933),x12933)
% 7.04/7.28  [1357]~P64(x13573)+~P3(x13577,x13572,x13573)+~P3(x13576,x13571,x13573)+~P3(x13572,x13575,x13573)+~P3(x13571,x13574,x13573)+P3(f14(x13571,x13572,x13573),f12(f12(f12(f14(f25(x13574,x13573),f25(x13575,x13573),x13573),f14(f25(x13576,x13573),f26(x13575,x13573),x13573),x13573),f14(f26(x13574,x13573),f25(x13577,x13573),x13573),x13573),f14(f26(x13576,x13573),f26(x13577,x13573),x13573),x13573),x13573)
% 7.04/7.28  [1358]~P64(x13582)+~P3(x13587,x13583,x13582)+~P3(x13586,x13584,x13582)+~P3(x13585,x13587,x13582)+~P3(x13581,x13586,x13582)+P3(f12(f12(f12(f14(f26(x13581,x13582),f25(x13583,x13582),x13582),f14(f26(x13584,x13582),f26(x13583,x13582),x13582),x13582),f14(f25(x13581,x13582),f25(x13585,x13582),x13582),x13582),f14(f25(x13584,x13582),f26(x13585,x13582),x13582),x13582),f14(x13586,x13587,x13582),x13582)
% 7.04/7.28  %EqnAxiom
% 7.04/7.28  [1]E(x11,x11)
% 7.04/7.28  [2]E(x22,x21)+~E(x21,x22)
% 7.04/7.28  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 7.04/7.28  [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 7.04/7.28  [5]~E(x51,x52)+E(f31(x51),f31(x52))
% 7.04/7.28  [6]~E(x61,x62)+E(f32(x61),f32(x62))
% 7.04/7.28  [7]~E(x71,x72)+E(f14(x71,x73,x74),f14(x72,x73,x74))
% 7.04/7.28  [8]~E(x81,x82)+E(f14(x83,x81,x84),f14(x83,x82,x84))
% 7.04/7.28  [9]~E(x91,x92)+E(f14(x93,x94,x91),f14(x93,x94,x92))
% 7.04/7.28  [10]~E(x101,x102)+E(f4(x101),f4(x102))
% 7.04/7.28  [11]~E(x111,x112)+E(f12(x111,x113,x114),f12(x112,x113,x114))
% 7.04/7.28  [12]~E(x121,x122)+E(f12(x123,x121,x124),f12(x123,x122,x124))
% 7.04/7.28  [13]~E(x131,x132)+E(f12(x133,x134,x131),f12(x133,x134,x132))
% 7.04/7.28  [14]~E(x141,x142)+E(f8(x141,x143,x144),f8(x142,x143,x144))
% 7.04/7.28  [15]~E(x151,x152)+E(f8(x153,x151,x154),f8(x153,x152,x154))
% 7.04/7.28  [16]~E(x161,x162)+E(f8(x163,x164,x161),f8(x163,x164,x162))
% 7.04/7.28  [17]~E(x171,x172)+E(f16(x171),f16(x172))
% 7.04/7.28  [18]~E(x181,x182)+E(f26(x181,x183),f26(x182,x183))
% 7.04/7.28  [19]~E(x191,x192)+E(f26(x193,x191),f26(x193,x192))
% 7.04/7.28  [20]~E(x201,x202)+E(f29(x201,x203,x204),f29(x202,x203,x204))
% 7.04/7.28  [21]~E(x211,x212)+E(f29(x213,x211,x214),f29(x213,x212,x214))
% 7.04/7.28  [22]~E(x221,x222)+E(f29(x223,x224,x221),f29(x223,x224,x222))
% 7.04/7.28  [23]~E(x231,x232)+E(f9(x231,x233,x234),f9(x232,x233,x234))
% 7.04/7.28  [24]~E(x241,x242)+E(f9(x243,x241,x244),f9(x243,x242,x244))
% 7.04/7.28  [25]~E(x251,x252)+E(f9(x253,x254,x251),f9(x253,x254,x252))
% 7.04/7.28  [26]~E(x261,x262)+E(f19(x261,x263,x264),f19(x262,x263,x264))
% 7.04/7.28  [27]~E(x271,x272)+E(f19(x273,x271,x274),f19(x273,x272,x274))
% 7.04/7.28  [28]~E(x281,x282)+E(f19(x283,x284,x281),f19(x283,x284,x282))
% 7.04/7.28  [29]~E(x291,x292)+E(f25(x291,x293),f25(x292,x293))
% 7.04/7.28  [30]~E(x301,x302)+E(f25(x303,x301),f25(x303,x302))
% 7.04/7.28  [31]~E(x311,x312)+E(f21(x311),f21(x312))
% 7.04/7.28  [32]~E(x321,x322)+E(f13(x321,x323),f13(x322,x323))
% 7.04/7.28  [33]~E(x331,x332)+E(f13(x333,x331),f13(x333,x332))
% 7.04/7.28  [34]~E(x341,x342)+E(f28(x341,x343,x344),f28(x342,x343,x344))
% 7.04/7.28  [35]~E(x351,x352)+E(f28(x353,x351,x354),f28(x353,x352,x354))
% 7.04/7.28  [36]~E(x361,x362)+E(f28(x363,x364,x361),f28(x363,x364,x362))
% 7.04/7.28  [37]~E(x371,x372)+E(f18(x371,x373,x374),f18(x372,x373,x374))
% 7.04/7.28  [38]~E(x381,x382)+E(f18(x383,x381,x384),f18(x383,x382,x384))
% 7.04/7.28  [39]~E(x391,x392)+E(f18(x393,x394,x391),f18(x393,x394,x392))
% 7.04/7.28  [40]~E(x401,x402)+E(f5(x401,x403),f5(x402,x403))
% 7.04/7.28  [41]~E(x411,x412)+E(f5(x413,x411),f5(x413,x412))
% 7.04/7.28  [42]~E(x421,x422)+E(f7(x421,x423,x424),f7(x422,x423,x424))
% 7.04/7.28  [43]~E(x431,x432)+E(f7(x433,x431,x434),f7(x433,x432,x434))
% 7.04/7.28  [44]~E(x441,x442)+E(f7(x443,x444,x441),f7(x443,x444,x442))
% 7.04/7.28  [45]~E(x451,x452)+E(f23(x451,x453),f23(x452,x453))
% 7.04/7.28  [46]~E(x461,x462)+E(f23(x463,x461),f23(x463,x462))
% 7.04/7.28  [47]~E(x471,x472)+E(f6(x471,x473),f6(x472,x473))
% 7.04/7.28  [48]~E(x481,x482)+E(f6(x483,x481),f6(x483,x482))
% 7.04/7.28  [49]~E(x491,x492)+E(f10(x491,x493,x494),f10(x492,x493,x494))
% 7.04/7.28  [50]~E(x501,x502)+E(f10(x503,x501,x504),f10(x503,x502,x504))
% 7.04/7.28  [51]~E(x511,x512)+E(f10(x513,x514,x511),f10(x513,x514,x512))
% 7.04/7.28  [52]~E(x521,x522)+E(f22(x521),f22(x522))
% 7.04/7.28  [53]~E(x531,x532)+E(f27(x531,x533,x534),f27(x532,x533,x534))
% 7.04/7.28  [54]~E(x541,x542)+E(f27(x543,x541,x544),f27(x543,x542,x544))
% 7.04/7.28  [55]~E(x551,x552)+E(f27(x553,x554,x551),f27(x553,x554,x552))
% 7.04/7.28  [56]~E(x561,x562)+E(f11(x561,x563),f11(x562,x563))
% 7.04/7.28  [57]~E(x571,x572)+E(f11(x573,x571),f11(x573,x572))
% 7.04/7.28  [58]~E(x581,x582)+E(f30(x581,x583),f30(x582,x583))
% 7.04/7.28  [59]~E(x591,x592)+E(f30(x593,x591),f30(x593,x592))
% 7.04/7.28  [60]~E(x601,x602)+E(f24(x601,x603),f24(x602,x603))
% 7.04/7.28  [61]~E(x611,x612)+E(f24(x613,x611),f24(x613,x612))
% 7.04/7.28  [62]~E(x621,x622)+E(f17(x621,x623),f17(x622,x623))
% 7.04/7.28  [63]~E(x631,x632)+E(f17(x633,x631),f17(x633,x632))
% 7.04/7.28  [64]~E(x641,x642)+E(f20(x641,x643),f20(x642,x643))
% 7.04/7.28  [65]~E(x651,x652)+E(f20(x653,x651),f20(x653,x652))
% 7.04/7.28  [66]~P1(x661)+P1(x662)+~E(x661,x662)
% 7.04/7.28  [67]~P6(x671)+P6(x672)+~E(x671,x672)
% 7.04/7.28  [68]~P62(x681)+P62(x682)+~E(x681,x682)
% 7.04/7.28  [69]~P7(x691)+P7(x692)+~E(x691,x692)
% 7.04/7.28  [70]~P8(x701)+P8(x702)+~E(x701,x702)
% 7.04/7.28  [71]P2(x712,x713,x714)+~E(x711,x712)+~P2(x711,x713,x714)
% 7.04/7.28  [72]P2(x723,x722,x724)+~E(x721,x722)+~P2(x723,x721,x724)
% 7.04/7.28  [73]P2(x733,x734,x732)+~E(x731,x732)+~P2(x733,x734,x731)
% 7.04/7.28  [74]~P54(x741)+P54(x742)+~E(x741,x742)
% 7.04/7.28  [75]~P77(x751)+P77(x752)+~E(x751,x752)
% 7.04/7.28  [76]~P22(x761)+P22(x762)+~E(x761,x762)
% 7.04/7.28  [77]~P31(x771)+P31(x772)+~E(x771,x772)
% 7.04/7.28  [78]~P57(x781)+P57(x782)+~E(x781,x782)
% 7.04/7.28  [79]~P58(x791)+P58(x792)+~E(x791,x792)
% 7.04/7.28  [80]~P59(x801)+P59(x802)+~E(x801,x802)
% 7.04/7.28  [81]P3(x812,x813,x814)+~E(x811,x812)+~P3(x811,x813,x814)
% 7.04/7.28  [82]P3(x823,x822,x824)+~E(x821,x822)+~P3(x823,x821,x824)
% 7.04/7.28  [83]P3(x833,x834,x832)+~E(x831,x832)+~P3(x833,x834,x831)
% 7.04/7.28  [84]~P44(x841)+P44(x842)+~E(x841,x842)
% 7.04/7.28  [85]~P60(x851)+P60(x852)+~E(x851,x852)
% 7.04/7.28  [86]~P32(x861)+P32(x862)+~E(x861,x862)
% 7.04/7.28  [87]~P9(x871)+P9(x872)+~E(x871,x872)
% 7.04/7.28  [88]~P69(x881)+P69(x882)+~E(x881,x882)
% 7.04/7.28  [89]~P45(x891)+P45(x892)+~E(x891,x892)
% 7.04/7.28  [90]~P16(x901)+P16(x902)+~E(x901,x902)
% 7.04/7.28  [91]~P61(x911)+P61(x912)+~E(x911,x912)
% 7.04/7.28  [92]~P10(x921)+P10(x922)+~E(x921,x922)
% 7.04/7.28  [93]~P23(x931)+P23(x932)+~E(x931,x932)
% 7.04/7.28  [94]~P33(x941)+P33(x942)+~E(x941,x942)
% 7.04/7.28  [95]P4(x952,x953,x954)+~E(x951,x952)+~P4(x951,x953,x954)
% 7.04/7.28  [96]P4(x963,x962,x964)+~E(x961,x962)+~P4(x963,x961,x964)
% 7.04/7.28  [97]P4(x973,x974,x972)+~E(x971,x972)+~P4(x973,x974,x971)
% 7.04/7.28  [98]~P73(x981)+P73(x982)+~E(x981,x982)
% 7.04/7.28  [99]~P63(x991)+P63(x992)+~E(x991,x992)
% 7.04/7.28  [100]~P28(x1001)+P28(x1002)+~E(x1001,x1002)
% 7.04/7.28  [101]~P65(x1011)+P65(x1012)+~E(x1011,x1012)
% 7.04/7.28  [102]~P34(x1021)+P34(x1022)+~E(x1021,x1022)
% 7.04/7.28  [103]~P70(x1031)+P70(x1032)+~E(x1031,x1032)
% 7.04/7.28  [104]~P71(x1041)+P71(x1042)+~E(x1041,x1042)
% 7.04/7.28  [105]~P14(x1051)+P14(x1052)+~E(x1051,x1052)
% 7.04/7.28  [106]~P46(x1061)+P46(x1062)+~E(x1061,x1062)
% 7.04/7.28  [107]~P52(x1071)+P52(x1072)+~E(x1071,x1072)
% 7.04/7.28  [108]~P47(x1081)+P47(x1082)+~E(x1081,x1082)
% 7.04/7.28  [109]~P11(x1091)+P11(x1092)+~E(x1091,x1092)
% 7.04/7.28  [110]~P37(x1101)+P37(x1102)+~E(x1101,x1102)
% 7.04/7.28  [111]~P24(x1111)+P24(x1112)+~E(x1111,x1112)
% 7.04/7.28  [112]~P13(x1121)+P13(x1122)+~E(x1121,x1122)
% 7.04/7.28  [113]~P48(x1131)+P48(x1132)+~E(x1131,x1132)
% 7.04/7.28  [114]~P74(x1141)+P74(x1142)+~E(x1141,x1142)
% 7.04/7.28  [115]~P75(x1151)+P75(x1152)+~E(x1151,x1152)
% 7.04/7.28  [116]~P5(x1161)+P5(x1162)+~E(x1161,x1162)
% 7.04/7.28  [117]~P56(x1171)+P56(x1172)+~E(x1171,x1172)
% 7.04/7.28  [118]~P39(x1181)+P39(x1182)+~E(x1181,x1182)
% 7.04/7.28  [119]~P36(x1191)+P36(x1192)+~E(x1191,x1192)
% 7.04/7.28  [120]~P35(x1201)+P35(x1202)+~E(x1201,x1202)
% 7.04/7.28  [121]~P38(x1211)+P38(x1212)+~E(x1211,x1212)
% 7.04/7.28  [122]~P82(x1221)+P82(x1222)+~E(x1221,x1222)
% 7.04/7.28  [123]~P15(x1231)+P15(x1232)+~E(x1231,x1232)
% 7.04/7.28  [124]~P50(x1241)+P50(x1242)+~E(x1241,x1242)
% 7.04/7.28  [125]~P55(x1251)+P55(x1252)+~E(x1251,x1252)
% 7.04/7.28  [126]~P83(x1261)+P83(x1262)+~E(x1261,x1262)
% 7.04/7.28  [127]~P30(x1271)+P30(x1272)+~E(x1271,x1272)
% 7.04/7.28  [128]~P76(x1281)+P76(x1282)+~E(x1281,x1282)
% 7.04/7.28  [129]~P27(x1291)+P27(x1292)+~E(x1291,x1292)
% 7.04/7.28  [130]~P25(x1301)+P25(x1302)+~E(x1301,x1302)
% 7.04/7.28  [131]~P21(x1311)+P21(x1312)+~E(x1311,x1312)
% 7.04/7.28  [132]~P40(x1321)+P40(x1322)+~E(x1321,x1322)
% 7.04/7.28  [133]~P81(x1331)+P81(x1332)+~E(x1331,x1332)
% 7.04/7.28  [134]~P29(x1341)+P29(x1342)+~E(x1341,x1342)
% 7.04/7.28  [135]~P67(x1351)+P67(x1352)+~E(x1351,x1352)
% 7.04/7.28  [136]~P42(x1361)+P42(x1362)+~E(x1361,x1362)
% 7.04/7.28  [137]~P78(x1371)+P78(x1372)+~E(x1371,x1372)
% 7.04/7.28  [138]~P84(x1381)+P84(x1382)+~E(x1381,x1382)
% 7.04/7.28  [139]~P72(x1391)+P72(x1392)+~E(x1391,x1392)
% 7.04/7.28  [140]~P17(x1401)+P17(x1402)+~E(x1401,x1402)
% 7.04/7.28  [141]~P19(x1411)+P19(x1412)+~E(x1411,x1412)
% 7.04/7.28  [142]~P80(x1421)+P80(x1422)+~E(x1421,x1422)
% 7.04/7.28  [143]~P20(x1431)+P20(x1432)+~E(x1431,x1432)
% 7.04/7.28  [144]~P49(x1441)+P49(x1442)+~E(x1441,x1442)
% 7.04/7.28  [145]~P66(x1451)+P66(x1452)+~E(x1451,x1452)
% 7.04/7.28  [146]~P51(x1461)+P51(x1462)+~E(x1461,x1462)
% 7.04/7.28  [147]~P26(x1471)+P26(x1472)+~E(x1471,x1472)
% 7.04/7.28  [148]~P53(x1481)+P53(x1482)+~E(x1481,x1482)
% 7.04/7.28  [149]~P68(x1491)+P68(x1492)+~E(x1491,x1492)
% 7.04/7.28  [150]~P41(x1501)+P41(x1502)+~E(x1501,x1502)
% 7.04/7.28  [151]~P18(x1511)+P18(x1512)+~E(x1511,x1512)
% 7.04/7.28  [152]~P64(x1521)+P64(x1522)+~E(x1521,x1522)
% 7.04/7.28  [153]~P79(x1531)+P79(x1532)+~E(x1531,x1532)
% 7.04/7.28  [154]~P12(x1541)+P12(x1542)+~E(x1541,x1542)
% 7.04/7.28  [155]~P43(x1551)+P43(x1552)+~E(x1551,x1552)
% 7.04/7.28  
% 7.04/7.28  %-------------------------------------------
% 7.43/7.29  cnf(1363,plain,
% 7.43/7.29     (~P2(x13631,x13631,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1366,plain,
% 7.43/7.29     (~P2(x13661,x13661,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1376,plain,
% 7.43/7.29     (~P2(x13761,x13761,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1379,plain,
% 7.43/7.29     (~P2(x13791,x13791,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1381,plain,
% 7.43/7.29     (P3(f32(a34),f3(a2),a2)),
% 7.43/7.29     inference(scs_inference,[],[271,291,314,1363,1366,1376,247,293,311,283,2,474,618,617,490,448,317,622,621,82])).
% 7.43/7.29  cnf(1382,plain,
% 7.43/7.29     (P3(x13821,x13821,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1383,plain,
% 7.43/7.29     (P3(f3(a2),f32(a34),a2)),
% 7.43/7.29     inference(scs_inference,[],[271,291,1382,314,1363,1366,1376,247,293,311,283,2,474,618,617,490,448,317,622,621,82,81])).
% 7.43/7.29  cnf(1384,plain,
% 7.43/7.29     (P3(x13841,x13841,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1386,plain,
% 7.43/7.29     (~P2(x13861,x13861,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1388,plain,
% 7.43/7.29     (~P2(x13881,x13881,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1390,plain,
% 7.43/7.29     (~P2(a15,a34,a2)),
% 7.43/7.29     inference(scs_inference,[],[271,291,1382,314,1363,1366,1376,1379,1386,246,247,290,293,311,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675])).
% 7.43/7.29  cnf(1393,plain,
% 7.43/7.29     (P3(f32(x13931),f4(a2),a2)),
% 7.43/7.29     inference(rename_variables,[],[299])).
% 7.43/7.29  cnf(1401,plain,
% 7.43/7.29     (P2(f3(a2),f32(a34),a2)),
% 7.43/7.29     inference(scs_inference,[],[271,291,1382,314,1363,1366,1376,1379,1386,180,246,247,290,293,295,311,299,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799])).
% 7.43/7.29  cnf(1404,plain,
% 7.43/7.29     (P3(x14041,x14041,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1409,plain,
% 7.43/7.29     (P3(x14091,x14091,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1412,plain,
% 7.43/7.29     (P3(x14121,x14121,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1414,plain,
% 7.43/7.29     (P3(f19(x14141,x14142,a2),x14141,a2)),
% 7.43/7.29     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,314,1363,1366,1376,1379,1386,173,180,198,246,247,290,292,293,295,311,299,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906])).
% 7.43/7.29  cnf(1415,plain,
% 7.43/7.29     (P3(x14151,x14151,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1418,plain,
% 7.43/7.29     (P3(x14181,x14181,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1420,plain,
% 7.43/7.29     (~P2(x14201,f19(x14201,x14202,a2),a2)),
% 7.43/7.29     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,314,1363,1366,1376,1379,1386,1388,173,180,198,246,247,290,292,293,295,311,299,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841])).
% 7.43/7.29  cnf(1421,plain,
% 7.43/7.29     (~P2(x14211,x14211,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1424,plain,
% 7.43/7.29     (~P2(x14241,x14241,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1427,plain,
% 7.43/7.29     (~P2(x14271,x14271,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1430,plain,
% 7.43/7.29     (~P2(x14301,x14301,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1432,plain,
% 7.43/7.29     (P3(x14321,f6(x14321,a2),a2)),
% 7.43/7.29     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,173,180,196,198,246,247,290,292,293,295,311,299,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705])).
% 7.43/7.29  cnf(1433,plain,
% 7.43/7.29     (P3(x14331,x14331,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1442,plain,
% 7.43/7.29     (~P2(x14421,x14421,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1447,plain,
% 7.43/7.29     (~P2(x14471,x14471,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1450,plain,
% 7.43/7.29     (~P2(x14501,x14501,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1453,plain,
% 7.43/7.29     (~P2(x14531,x14531,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1456,plain,
% 7.43/7.29     (~P2(x14561,x14561,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1459,plain,
% 7.43/7.29     (~P2(x14591,x14591,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1462,plain,
% 7.43/7.29     (~P2(x14621,x14621,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1465,plain,
% 7.43/7.29     (~P2(x14651,x14651,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1469,plain,
% 7.43/7.29     (~P3(f6(f4(a2),a2),f3(a2),a2)),
% 7.43/7.29     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,162,164,165,173,180,196,197,198,243,246,247,290,292,293,295,315,311,299,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585])).
% 7.43/7.29  cnf(1488,plain,
% 7.43/7.29     (~P2(x14881,x14881,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1491,plain,
% 7.43/7.29     (~P2(x14911,x14911,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1508,plain,
% 7.43/7.29     (P3(x15081,x15081,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1511,plain,
% 7.43/7.29     (P3(x15111,x15111,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1514,plain,
% 7.43/7.29     (~P2(x15141,x15141,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1517,plain,
% 7.43/7.29     (~P2(x15171,x15171,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1520,plain,
% 7.43/7.29     (~P2(x15201,x15201,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1523,plain,
% 7.43/7.29     (~P2(x15231,x15231,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1526,plain,
% 7.43/7.29     (~P2(x15261,x15261,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1529,plain,
% 7.43/7.29     (~P2(x15291,x15291,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1532,plain,
% 7.43/7.29     (~P2(x15321,x15321,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1535,plain,
% 7.43/7.29     (~P2(x15351,x15351,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1539,plain,
% 7.43/7.29     (~P3(f4(a2),f3(a2),a2)),
% 7.43/7.29     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,162,164,165,166,173,179,180,182,187,191,195,196,197,198,202,243,246,247,262,290,292,293,295,315,310,311,313,298,299,1393,302,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601])).
% 7.43/7.29  cnf(1542,plain,
% 7.43/7.29     (~E(f17(x15421,x15422),f3(a2))),
% 7.43/7.29     inference(rename_variables,[],[313])).
% 7.43/7.29  cnf(1545,plain,
% 7.43/7.29     (P3(x15451,x15451,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1554,plain,
% 7.43/7.29     (~P2(x15541,x15541,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1559,plain,
% 7.43/7.29     (P3(x15591,x15591,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1561,plain,
% 7.43/7.29     (P3(f6(f14(x15611,x15611,a2),a2),f14(x15611,x15611,a2),a2)),
% 7.43/7.29     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,162,164,165,166,173,175,177,178,179,180,182,187,188,191,195,196,197,198,202,243,246,247,252,262,290,292,293,295,315,310,311,313,298,299,1393,302,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893])).
% 7.43/7.29  cnf(1562,plain,
% 7.43/7.29     (P3(f13(f14(x15621,x15621,a2),a2),f14(x15622,x15622,a2),a2)),
% 7.43/7.29     inference(rename_variables,[],[309])).
% 7.43/7.29  cnf(1563,plain,
% 7.43/7.29     (P3(x15631,x15631,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1566,plain,
% 7.43/7.29     (~P2(x15661,x15661,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1569,plain,
% 7.43/7.29     (~P2(x15691,x15691,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1572,plain,
% 7.43/7.29     (~P2(x15721,x15721,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1575,plain,
% 7.43/7.29     (~P2(x15751,x15751,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1580,plain,
% 7.43/7.29     (~P2(x15801,x15801,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1594,plain,
% 7.43/7.29     (~P4(f14(f4(a2),f3(a2),a2),f14(f4(a2),f4(a2),a2),a2)),
% 7.43/7.29     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,162,164,165,166,167,171,173,175,176,177,178,179,180,182,187,188,191,195,196,197,198,202,243,246,247,252,262,290,292,293,295,315,310,311,316,313,298,299,1393,302,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190])).
% 7.43/7.29  cnf(1597,plain,
% 7.43/7.29     (~P2(x15971,x15971,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1599,plain,
% 7.43/7.29     (~P2(f14(f9(x15991,a15,a2),a15,a2),x15991,a2)),
% 7.43/7.29     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,162,164,165,166,167,171,173,175,176,177,178,179,180,182,187,188,191,195,196,197,198,202,243,246,247,252,262,290,292,293,295,315,310,311,316,313,298,299,1393,302,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203])).
% 7.43/7.29  cnf(1600,plain,
% 7.43/7.29     (~P2(x16001,x16001,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1603,plain,
% 7.43/7.29     (~P2(x16031,x16031,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1606,plain,
% 7.43/7.29     (~P2(x16061,x16061,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1613,plain,
% 7.43/7.29     (P3(x16131,x16131,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1628,plain,
% 7.43/7.29     (~P2(x16281,x16281,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1631,plain,
% 7.43/7.29     (~P2(x16311,x16311,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1634,plain,
% 7.43/7.29     (~P2(x16341,x16341,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1635,plain,
% 7.43/7.29     (P3(x16351,x16351,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1637,plain,
% 7.43/7.29     (~P3(f12(a15,x16371,a2),x16371,a2)),
% 7.43/7.29     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,162,164,165,166,167,168,171,173,175,176,177,178,179,180,182,187,188,191,195,196,197,198,202,215,220,235,243,246,247,252,256,262,263,290,292,293,295,315,310,311,316,313,1542,298,299,1393,302,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002])).
% 7.43/7.29  cnf(1638,plain,
% 7.43/7.29     (~P2(x16381,x16381,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1640,plain,
% 7.43/7.29     (~P3(f12(a15,f12(x16401,f3(a2),a2),a2),x16401,a2)),
% 7.43/7.29     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,162,164,165,166,167,168,171,173,175,176,177,178,179,180,182,187,188,191,195,196,197,198,202,215,220,235,243,246,247,252,256,262,263,290,292,293,295,315,310,311,316,313,1542,298,299,1393,302,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001])).
% 7.43/7.29  cnf(1641,plain,
% 7.43/7.29     (P3(x16411,x16411,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1644,plain,
% 7.43/7.29     (P3(x16441,x16441,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1647,plain,
% 7.43/7.29     (~P2(x16471,x16471,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1652,plain,
% 7.43/7.29     (~P2(x16521,x16521,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1657,plain,
% 7.43/7.29     (~P2(x16571,x16571,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1660,plain,
% 7.43/7.29     (~P2(x16601,x16601,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1663,plain,
% 7.43/7.29     (~P2(x16631,x16631,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1666,plain,
% 7.43/7.29     (~P2(x16661,x16661,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1669,plain,
% 7.43/7.29     (~P2(x16691,x16691,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1680,plain,
% 7.43/7.29     (P3(x16801,x16801,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1683,plain,
% 7.43/7.29     (P3(f32(x16831),f4(a2),a2)),
% 7.43/7.29     inference(rename_variables,[],[299])).
% 7.43/7.29  cnf(1686,plain,
% 7.43/7.29     (P3(f32(x16861),f4(a2),a2)),
% 7.43/7.29     inference(rename_variables,[],[299])).
% 7.43/7.29  cnf(1693,plain,
% 7.43/7.29     (~P2(x16931,x16931,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1694,plain,
% 7.43/7.29     (P3(x16941,x16941,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1697,plain,
% 7.43/7.29     (~P2(x16971,x16971,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1700,plain,
% 7.43/7.29     (~P2(x17001,x17001,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1703,plain,
% 7.43/7.29     (~P2(x17031,x17031,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1706,plain,
% 7.43/7.29     (~P2(x17061,x17061,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1707,plain,
% 7.43/7.29     (P3(x17071,x17071,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1710,plain,
% 7.43/7.29     (~P2(x17101,x17101,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1713,plain,
% 7.43/7.29     (P3(x17131,x17131,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1716,plain,
% 7.43/7.29     (P3(x17161,x17161,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1719,plain,
% 7.43/7.29     (P3(x17191,x17191,a2)),
% 7.43/7.29     inference(rename_variables,[],[291])).
% 7.43/7.29  cnf(1722,plain,
% 7.43/7.29     (~P2(x17221,x17221,a2)),
% 7.43/7.29     inference(rename_variables,[],[314])).
% 7.43/7.29  cnf(1723,plain,
% 7.43/7.30     (P3(x17231,x17231,a2)),
% 7.43/7.30     inference(rename_variables,[],[291])).
% 7.43/7.30  cnf(1726,plain,
% 7.43/7.30     (~P2(x17261,x17261,a2)),
% 7.43/7.30     inference(rename_variables,[],[314])).
% 7.43/7.30  cnf(1727,plain,
% 7.43/7.30     (P3(x17271,x17271,a2)),
% 7.43/7.30     inference(rename_variables,[],[291])).
% 7.43/7.30  cnf(1730,plain,
% 7.43/7.30     (P3(x17301,x17301,a2)),
% 7.43/7.30     inference(rename_variables,[],[291])).
% 7.43/7.30  cnf(1733,plain,
% 7.43/7.30     (P3(x17331,x17331,a2)),
% 7.43/7.30     inference(rename_variables,[],[291])).
% 7.43/7.30  cnf(1739,plain,
% 7.43/7.30     (P3(x17391,x17391,a1)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,162,164,165,166,167,168,171,173,175,176,177,178,179,180,182,187,188,191,195,196,197,198,202,212,215,220,235,243,246,247,252,256,257,260,262,263,265,290,292,293,295,315,310,311,316,313,1542,298,299,1393,1683,302,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374])).
% 7.43/7.30  cnf(1741,plain,
% 7.43/7.30     (P4(x17411,x17411,a2)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,162,164,165,166,167,168,171,173,175,176,177,178,179,180,182,187,188,191,195,196,197,198,202,212,215,220,235,243,246,247,252,256,257,260,262,263,265,290,292,293,295,315,310,311,316,313,1542,298,299,1393,1683,302,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372])).
% 7.43/7.30  cnf(1782,plain,
% 7.43/7.30     (P3(x17821,x17821,a2)),
% 7.43/7.30     inference(rename_variables,[],[291])).
% 7.43/7.30  cnf(1785,plain,
% 7.43/7.30     (P3(x17851,x17851,a2)),
% 7.43/7.30     inference(rename_variables,[],[291])).
% 7.43/7.30  cnf(1798,plain,
% 7.43/7.30     (P3(x17981,x17981,a2)),
% 7.43/7.30     inference(rename_variables,[],[291])).
% 7.43/7.30  cnf(1801,plain,
% 7.43/7.30     (P3(x18011,x18011,a2)),
% 7.43/7.30     inference(rename_variables,[],[291])).
% 7.43/7.30  cnf(1867,plain,
% 7.43/7.30     (P2(x18671,f12(x18671,f4(a2),a2),a2)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,1733,1782,1785,1798,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,158,162,164,165,166,167,168,171,172,173,175,176,177,178,179,180,182,187,188,191,195,196,197,198,201,202,212,215,220,235,243,246,247,252,256,257,260,262,263,265,290,292,293,295,315,310,311,316,313,1542,298,299,1393,1683,302,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372,849,650,643,641,639,637,635,634,633,561,387,386,385,379,378,377,848,649,605,603,602,503,497,458,612,611,609,607,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,862,681])).
% 7.43/7.30  cnf(1869,plain,
% 7.43/7.30     (P3(f3(a2),f14(x18691,x18691,a2),a2)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,1733,1782,1785,1798,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,158,162,164,165,166,167,168,171,172,173,175,176,177,178,179,180,182,187,188,191,195,196,197,198,201,202,212,215,220,235,243,246,247,252,256,257,260,262,263,265,290,292,293,295,315,310,311,316,313,1542,298,299,1393,1683,302,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372,849,650,643,641,639,637,635,634,633,561,387,386,385,379,378,377,848,649,605,603,602,503,497,458,612,611,609,607,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,862,681,662])).
% 7.43/7.30  cnf(1873,plain,
% 7.43/7.30     (E(f12(f10(x18731,x18732,a2),x18732,a2),x18731)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,1733,1782,1785,1798,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,158,162,164,165,166,167,168,171,172,173,175,176,177,178,179,180,182,187,188,191,195,196,197,198,201,202,212,215,220,235,243,246,247,252,256,257,260,262,263,265,290,292,293,295,315,310,311,316,313,1542,298,299,1393,1683,302,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372,849,650,643,641,639,637,635,634,633,561,387,386,385,379,378,377,848,649,605,603,602,503,497,458,612,611,609,607,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,862,681,662,647,646])).
% 7.43/7.30  cnf(1891,plain,
% 7.43/7.30     (~P2(f6(x18911,a2),f3(a2),a2)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,1733,1782,1785,1798,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,158,162,164,165,166,167,168,171,172,173,175,176,177,178,179,180,182,187,188,191,195,196,197,198,200,201,202,212,215,220,235,243,246,247,252,256,257,260,262,263,265,290,292,293,295,315,310,311,316,313,1542,298,299,1393,1683,302,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372,849,650,643,641,639,637,635,634,633,561,387,386,385,379,378,377,848,649,605,603,602,503,497,458,612,611,609,607,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,862,681,662,647,646,645,644,625,624,590,589,588,587,575])).
% 7.43/7.30  cnf(1913,plain,
% 7.43/7.30     (~P2(f4(a1),f3(a1),a1)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,1733,1782,1785,1798,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,158,162,163,164,165,166,167,168,171,172,173,174,175,176,177,178,179,180,182,187,188,189,191,195,196,197,198,199,200,201,202,212,215,220,235,243,246,247,252,256,257,260,262,263,265,290,292,293,295,315,310,311,316,313,1542,298,299,1393,1683,302,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372,849,650,643,641,639,637,635,634,633,561,387,386,385,379,378,377,848,649,605,603,602,503,497,458,612,611,609,607,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,862,681,662,647,646,645,644,625,624,590,589,588,587,575,552,533,532,531,530,529,528,527,525,517,516])).
% 7.43/7.30  cnf(1915,plain,
% 7.43/7.30     (~P3(f4(a1),f3(a1),a1)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,1733,1782,1785,1798,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,158,162,163,164,165,166,167,168,171,172,173,174,175,176,177,178,179,180,182,187,188,189,191,195,196,197,198,199,200,201,202,212,215,220,235,243,246,247,252,256,257,260,262,263,265,290,292,293,295,315,310,311,316,313,1542,298,299,1393,1683,302,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372,849,650,643,641,639,637,635,634,633,561,387,386,385,379,378,377,848,649,605,603,602,503,497,458,612,611,609,607,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,862,681,662,647,646,645,644,625,624,590,589,588,587,575,552,533,532,531,530,529,528,527,525,517,516,515])).
% 7.43/7.30  cnf(2343,plain,
% 7.43/7.30     (~P2(f5(f32(a34),a2),f4(a2),a2)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,1733,1782,1785,1798,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,1726,156,158,161,162,163,164,165,166,167,168,170,171,172,173,174,175,176,177,178,179,180,182,187,188,189,190,191,193,195,196,197,198,199,200,201,202,206,208,210,211,212,215,219,220,223,229,230,231,235,236,237,239,240,241,242,243,244,245,246,247,248,250,252,256,257,259,260,261,262,263,265,267,290,292,293,295,315,310,311,273,316,313,1542,298,299,1393,1683,302,278,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372,849,650,643,641,639,637,635,634,633,561,387,386,385,379,378,377,848,649,605,603,602,503,497,458,612,611,609,607,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,862,681,662,647,646,645,644,625,624,590,589,588,587,575,552,533,532,531,530,529,528,527,525,517,516,515,493,477,476,475,434,433,406,404,403,400,396,395,394,393,391,390,389,388,384,381,357,326,325,324,323,322,319,852,623,444,851,628,925,793,792,791,790,789,788,787,786,784,747,724,723,690,689,653,652,651,627,593,578,574,573,572,570,520,519,500,492,491,466,463,447,446,443,442,441,431,429,428,427,423,421,420,418,417,413,412,375,371,370,369,368,339,338,337,335,334,333,329,1332,1278,1196,1195,1194,1193,1108,1107,961,960,959,958,957,956,955,954,953,951,947,941,940,939,938,937,934,931,929,928,927,890,889,831,830,800,797,796,758,757,755,753,751,734,632,631,630,629,556,555,518,452,451,450,1329,1328,1227,1226,1225,1219,1201,1200,1199,1198,1144,1143,1142,1141,1140,1139,1137,1135,1134,1133,1131,1129,1127,1123,1122,1121,1119,1117,1115,1113,1111,1109,988,987,891,872,871,829,810,809,807,805,804,803,802,1339,1338,1312,1311,1310,1230,1229,1228,896,1341,1325,1102,973,1342,1302,926,1355,1354,1356,155,97,96,95,83,73,783,673,672,671])).
% 7.43/7.30  cnf(2361,plain,
% 7.43/7.30     (P4(x23611,f14(f14(x23611,x23612,a1),x23613,a1),a1)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,1733,1782,1785,1798,1801,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,1726,156,158,161,162,163,164,165,166,167,168,170,171,172,173,174,175,176,177,178,179,180,182,187,188,189,190,191,193,195,196,197,198,199,200,201,202,203,206,208,210,211,212,215,219,220,223,229,230,231,235,236,237,239,240,241,242,243,244,245,246,247,248,250,252,256,257,259,260,261,262,263,265,267,290,292,293,295,315,310,311,273,316,313,1542,298,299,1393,1683,302,278,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372,849,650,643,641,639,637,635,634,633,561,387,386,385,379,378,377,848,649,605,603,602,503,497,458,612,611,609,607,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,862,681,662,647,646,645,644,625,624,590,589,588,587,575,552,533,532,531,530,529,528,527,525,517,516,515,493,477,476,475,434,433,406,404,403,400,396,395,394,393,391,390,389,388,384,381,357,326,325,324,323,322,319,852,623,444,851,628,925,793,792,791,790,789,788,787,786,784,747,724,723,690,689,653,652,651,627,593,578,574,573,572,570,520,519,500,492,491,466,463,447,446,443,442,441,431,429,428,427,423,421,420,418,417,413,412,375,371,370,369,368,339,338,337,335,334,333,329,1332,1278,1196,1195,1194,1193,1108,1107,961,960,959,958,957,956,955,954,953,951,947,941,940,939,938,937,934,931,929,928,927,890,889,831,830,800,797,796,758,757,755,753,751,734,632,631,630,629,556,555,518,452,451,450,1329,1328,1227,1226,1225,1219,1201,1200,1199,1198,1144,1143,1142,1141,1140,1139,1137,1135,1134,1133,1131,1129,1127,1123,1122,1121,1119,1117,1115,1113,1111,1109,988,987,891,872,871,829,810,809,807,805,804,803,802,1339,1338,1312,1311,1310,1230,1229,1228,896,1341,1325,1102,973,1342,1302,926,1355,1354,1356,155,97,96,95,83,73,783,673,672,671,669,579,534,456,972,845,908,907,850,833])).
% 7.43/7.30  cnf(2447,plain,
% 7.43/7.30     (~P3(f12(x24471,f4(a2),a2),f12(x24471,f32(a34),a2),a2)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,1733,1782,1785,1798,1801,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,1726,156,158,161,162,163,164,165,166,167,168,170,171,172,173,174,175,176,177,178,179,180,182,187,188,189,190,191,192,193,195,196,197,198,199,200,201,202,203,206,208,210,211,212,215,219,220,223,224,226,227,229,230,231,232,235,236,237,238,239,240,241,242,243,244,245,246,247,248,250,252,256,257,259,260,261,262,263,265,267,290,292,293,295,315,310,311,273,316,313,1542,298,299,1393,1683,302,278,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372,849,650,643,641,639,637,635,634,633,561,387,386,385,379,378,377,848,649,605,603,602,503,497,458,612,611,609,607,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,862,681,662,647,646,645,644,625,624,590,589,588,587,575,552,533,532,531,530,529,528,527,525,517,516,515,493,477,476,475,434,433,406,404,403,400,396,395,394,393,391,390,389,388,384,381,357,326,325,324,323,322,319,852,623,444,851,628,925,793,792,791,790,789,788,787,786,784,747,724,723,690,689,653,652,651,627,593,578,574,573,572,570,520,519,500,492,491,466,463,447,446,443,442,441,431,429,428,427,423,421,420,418,417,413,412,375,371,370,369,368,339,338,337,335,334,333,329,1332,1278,1196,1195,1194,1193,1108,1107,961,960,959,958,957,956,955,954,953,951,947,941,940,939,938,937,934,931,929,928,927,890,889,831,830,800,797,796,758,757,755,753,751,734,632,631,630,629,556,555,518,452,451,450,1329,1328,1227,1226,1225,1219,1201,1200,1199,1198,1144,1143,1142,1141,1140,1139,1137,1135,1134,1133,1131,1129,1127,1123,1122,1121,1119,1117,1115,1113,1111,1109,988,987,891,872,871,829,810,809,807,805,804,803,802,1339,1338,1312,1311,1310,1230,1229,1228,896,1341,1325,1102,973,1342,1302,926,1355,1354,1356,155,97,96,95,83,73,783,673,672,671,669,579,534,456,972,845,908,907,850,833,832,706,704,703,702,701,661,660,659,658,488,656,680,679,678,677,676,592,591,584,582,495,366,363,362,353,1075,696,695,693,692,566,542,541,540,539,467,445,345,481,455,1186,1185])).
% 7.43/7.30  cnf(2451,plain,
% 7.43/7.30     (P2(f12(x24511,f3(a1),a1),f12(x24511,f4(a1),a1),a1)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,1733,1782,1785,1798,1801,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,1726,156,158,161,162,163,164,165,166,167,168,170,171,172,173,174,175,176,177,178,179,180,182,187,188,189,190,191,192,193,195,196,197,198,199,200,201,202,203,206,208,210,211,212,215,216,219,220,223,224,226,227,229,230,231,232,235,236,237,238,239,240,241,242,243,244,245,246,247,248,250,252,256,257,259,260,261,262,263,265,267,290,292,293,295,315,310,311,273,316,313,1542,298,299,1393,1683,302,278,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372,849,650,643,641,639,637,635,634,633,561,387,386,385,379,378,377,848,649,605,603,602,503,497,458,612,611,609,607,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,862,681,662,647,646,645,644,625,624,590,589,588,587,575,552,533,532,531,530,529,528,527,525,517,516,515,493,477,476,475,434,433,406,404,403,400,396,395,394,393,391,390,389,388,384,381,357,326,325,324,323,322,319,852,623,444,851,628,925,793,792,791,790,789,788,787,786,784,747,724,723,690,689,653,652,651,627,593,578,574,573,572,570,520,519,500,492,491,466,463,447,446,443,442,441,431,429,428,427,423,421,420,418,417,413,412,375,371,370,369,368,339,338,337,335,334,333,329,1332,1278,1196,1195,1194,1193,1108,1107,961,960,959,958,957,956,955,954,953,951,947,941,940,939,938,937,934,931,929,928,927,890,889,831,830,800,797,796,758,757,755,753,751,734,632,631,630,629,556,555,518,452,451,450,1329,1328,1227,1226,1225,1219,1201,1200,1199,1198,1144,1143,1142,1141,1140,1139,1137,1135,1134,1133,1131,1129,1127,1123,1122,1121,1119,1117,1115,1113,1111,1109,988,987,891,872,871,829,810,809,807,805,804,803,802,1339,1338,1312,1311,1310,1230,1229,1228,896,1341,1325,1102,973,1342,1302,926,1355,1354,1356,155,97,96,95,83,73,783,673,672,671,669,579,534,456,972,845,908,907,850,833,832,706,704,703,702,701,661,660,659,658,488,656,680,679,678,677,676,592,591,584,582,495,366,363,362,353,1075,696,695,693,692,566,542,541,540,539,467,445,345,481,455,1186,1185,1014,1013])).
% 7.43/7.30  cnf(2467,plain,
% 7.43/7.30     (~P3(f13(f32(a34),a2),f13(f4(a2),a2),a2)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,1733,1782,1785,1798,1801,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,1726,156,158,161,162,163,164,165,166,167,168,170,171,172,173,174,175,176,177,178,179,180,182,187,188,189,190,191,192,193,195,196,197,198,199,200,201,202,203,206,208,210,211,212,215,216,219,220,223,224,226,227,229,230,231,232,235,236,237,238,239,240,241,242,243,244,245,246,247,248,250,252,256,257,259,260,261,262,263,265,267,290,292,293,295,315,310,311,273,316,313,1542,298,299,1393,1683,302,278,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372,849,650,643,641,639,637,635,634,633,561,387,386,385,379,378,377,848,649,605,603,602,503,497,458,612,611,609,607,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,862,681,662,647,646,645,644,625,624,590,589,588,587,575,552,533,532,531,530,529,528,527,525,517,516,515,493,477,476,475,434,433,406,404,403,400,396,395,394,393,391,390,389,388,384,381,357,326,325,324,323,322,319,852,623,444,851,628,925,793,792,791,790,789,788,787,786,784,747,724,723,690,689,653,652,651,627,593,578,574,573,572,570,520,519,500,492,491,466,463,447,446,443,442,441,431,429,428,427,423,421,420,418,417,413,412,375,371,370,369,368,339,338,337,335,334,333,329,1332,1278,1196,1195,1194,1193,1108,1107,961,960,959,958,957,956,955,954,953,951,947,941,940,939,938,937,934,931,929,928,927,890,889,831,830,800,797,796,758,757,755,753,751,734,632,631,630,629,556,555,518,452,451,450,1329,1328,1227,1226,1225,1219,1201,1200,1199,1198,1144,1143,1142,1141,1140,1139,1137,1135,1134,1133,1131,1129,1127,1123,1122,1121,1119,1117,1115,1113,1111,1109,988,987,891,872,871,829,810,809,807,805,804,803,802,1339,1338,1312,1311,1310,1230,1229,1228,896,1341,1325,1102,973,1342,1302,926,1355,1354,1356,155,97,96,95,83,73,783,673,672,671,669,579,534,456,972,845,908,907,850,833,832,706,704,703,702,701,661,660,659,658,488,656,680,679,678,677,676,592,591,584,582,495,366,363,362,353,1075,696,695,693,692,566,542,541,540,539,467,445,345,481,455,1186,1185,1014,1013,1012,1011,1006,920,919,847,846,794])).
% 7.43/7.30  cnf(2505,plain,
% 7.43/7.30     (P2(f13(a15,a2),f3(a2),a2)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,1733,1782,1785,1798,1801,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,1726,156,158,161,162,163,164,165,166,167,168,170,171,172,173,174,175,176,177,178,179,180,182,187,188,189,190,191,192,193,195,196,197,198,199,200,201,202,203,206,208,210,211,212,215,216,219,220,223,224,226,227,229,230,231,232,235,236,237,238,239,240,241,242,243,244,245,246,247,248,250,252,256,257,259,260,261,262,263,265,267,290,292,293,295,315,310,311,273,316,313,1542,298,299,1393,1683,302,278,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372,849,650,643,641,639,637,635,634,633,561,387,386,385,379,378,377,848,649,605,603,602,503,497,458,612,611,609,607,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,862,681,662,647,646,645,644,625,624,590,589,588,587,575,552,533,532,531,530,529,528,527,525,517,516,515,493,477,476,475,434,433,406,404,403,400,396,395,394,393,391,390,389,388,384,381,357,326,325,324,323,322,319,852,623,444,851,628,925,793,792,791,790,789,788,787,786,784,747,724,723,690,689,653,652,651,627,593,578,574,573,572,570,520,519,500,492,491,466,463,447,446,443,442,441,431,429,428,427,423,421,420,418,417,413,412,375,371,370,369,368,339,338,337,335,334,333,329,1332,1278,1196,1195,1194,1193,1108,1107,961,960,959,958,957,956,955,954,953,951,947,941,940,939,938,937,934,931,929,928,927,890,889,831,830,800,797,796,758,757,755,753,751,734,632,631,630,629,556,555,518,452,451,450,1329,1328,1227,1226,1225,1219,1201,1200,1199,1198,1144,1143,1142,1141,1140,1139,1137,1135,1134,1133,1131,1129,1127,1123,1122,1121,1119,1117,1115,1113,1111,1109,988,987,891,872,871,829,810,809,807,805,804,803,802,1339,1338,1312,1311,1310,1230,1229,1228,896,1341,1325,1102,973,1342,1302,926,1355,1354,1356,155,97,96,95,83,73,783,673,672,671,669,579,534,456,972,845,908,907,850,833,832,706,704,703,702,701,661,660,659,658,488,656,680,679,678,677,676,592,591,584,582,495,366,363,362,353,1075,696,695,693,692,566,542,541,540,539,467,445,345,481,455,1186,1185,1014,1013,1012,1011,1006,920,919,847,846,794,777,776,772,736,707,614,501,471,461,440,344,858,856,855,854,843,842,738,715])).
% 7.43/7.30  cnf(2507,plain,
% 7.43/7.30     (P3(f13(a15,a2),f3(a2),a2)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,1733,1782,1785,1798,1801,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,1726,156,158,161,162,163,164,165,166,167,168,170,171,172,173,174,175,176,177,178,179,180,182,187,188,189,190,191,192,193,195,196,197,198,199,200,201,202,203,206,208,210,211,212,215,216,219,220,223,224,226,227,229,230,231,232,235,236,237,238,239,240,241,242,243,244,245,246,247,248,250,252,256,257,259,260,261,262,263,265,267,290,292,293,295,315,310,311,273,316,313,1542,298,299,1393,1683,302,278,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372,849,650,643,641,639,637,635,634,633,561,387,386,385,379,378,377,848,649,605,603,602,503,497,458,612,611,609,607,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,862,681,662,647,646,645,644,625,624,590,589,588,587,575,552,533,532,531,530,529,528,527,525,517,516,515,493,477,476,475,434,433,406,404,403,400,396,395,394,393,391,390,389,388,384,381,357,326,325,324,323,322,319,852,623,444,851,628,925,793,792,791,790,789,788,787,786,784,747,724,723,690,689,653,652,651,627,593,578,574,573,572,570,520,519,500,492,491,466,463,447,446,443,442,441,431,429,428,427,423,421,420,418,417,413,412,375,371,370,369,368,339,338,337,335,334,333,329,1332,1278,1196,1195,1194,1193,1108,1107,961,960,959,958,957,956,955,954,953,951,947,941,940,939,938,937,934,931,929,928,927,890,889,831,830,800,797,796,758,757,755,753,751,734,632,631,630,629,556,555,518,452,451,450,1329,1328,1227,1226,1225,1219,1201,1200,1199,1198,1144,1143,1142,1141,1140,1139,1137,1135,1134,1133,1131,1129,1127,1123,1122,1121,1119,1117,1115,1113,1111,1109,988,987,891,872,871,829,810,809,807,805,804,803,802,1339,1338,1312,1311,1310,1230,1229,1228,896,1341,1325,1102,973,1342,1302,926,1355,1354,1356,155,97,96,95,83,73,783,673,672,671,669,579,534,456,972,845,908,907,850,833,832,706,704,703,702,701,661,660,659,658,488,656,680,679,678,677,676,592,591,584,582,495,366,363,362,353,1075,696,695,693,692,566,542,541,540,539,467,445,345,481,455,1186,1185,1014,1013,1012,1011,1006,920,919,847,846,794,777,776,772,736,707,614,501,471,461,440,344,858,856,855,854,843,842,738,715,714])).
% 7.43/7.30  cnf(2535,plain,
% 7.43/7.30     (P2(f12(f10(a34,a15,a2),f10(a34,a15,a2),a2),f3(a2),a2)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,1733,1782,1785,1798,1801,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,1726,156,158,161,162,163,164,165,166,167,168,170,171,172,173,174,175,176,177,178,179,180,182,187,188,189,190,191,192,193,195,196,197,198,199,200,201,202,203,206,208,210,211,212,215,216,219,220,223,224,226,227,229,230,231,232,235,236,237,238,239,240,241,242,243,244,245,246,247,248,250,252,256,257,259,260,261,262,263,265,267,290,292,293,295,315,310,311,273,316,313,1542,298,299,1393,1683,302,278,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372,849,650,643,641,639,637,635,634,633,561,387,386,385,379,378,377,848,649,605,603,602,503,497,458,612,611,609,607,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,862,681,662,647,646,645,644,625,624,590,589,588,587,575,552,533,532,531,530,529,528,527,525,517,516,515,493,477,476,475,434,433,406,404,403,400,396,395,394,393,391,390,389,388,384,381,357,326,325,324,323,322,319,852,623,444,851,628,925,793,792,791,790,789,788,787,786,784,747,724,723,690,689,653,652,651,627,593,578,574,573,572,570,520,519,500,492,491,466,463,447,446,443,442,441,431,429,428,427,423,421,420,418,417,413,412,375,371,370,369,368,339,338,337,335,334,333,329,1332,1278,1196,1195,1194,1193,1108,1107,961,960,959,958,957,956,955,954,953,951,947,941,940,939,938,937,934,931,929,928,927,890,889,831,830,800,797,796,758,757,755,753,751,734,632,631,630,629,556,555,518,452,451,450,1329,1328,1227,1226,1225,1219,1201,1200,1199,1198,1144,1143,1142,1141,1140,1139,1137,1135,1134,1133,1131,1129,1127,1123,1122,1121,1119,1117,1115,1113,1111,1109,988,987,891,872,871,829,810,809,807,805,804,803,802,1339,1338,1312,1311,1310,1230,1229,1228,896,1341,1325,1102,973,1342,1302,926,1355,1354,1356,155,97,96,95,83,73,783,673,672,671,669,579,534,456,972,845,908,907,850,833,832,706,704,703,702,701,661,660,659,658,488,656,680,679,678,677,676,592,591,584,582,495,366,363,362,353,1075,696,695,693,692,566,542,541,540,539,467,445,345,481,455,1186,1185,1014,1013,1012,1011,1006,920,919,847,846,794,777,776,772,736,707,614,501,471,461,440,344,858,856,855,854,843,842,738,715,714,713,712,711,710,709,708,550,549,548,484,482,365,970,861])).
% 7.43/7.30  cnf(2577,plain,
% 7.43/7.30     (~E(f12(f14(f4(a2),f4(a2),a2),f12(x25771,f14(x25772,x25772,a2),a2),a2),x25771)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,1733,1782,1785,1798,1801,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,1726,156,158,161,162,163,164,165,166,167,168,170,171,172,173,174,175,176,177,178,179,180,182,187,188,189,190,191,192,193,195,196,197,198,199,200,201,202,203,206,208,210,211,212,215,216,219,220,223,224,226,227,229,230,231,232,235,236,237,238,239,240,241,242,243,244,245,246,247,248,250,252,256,257,259,260,261,262,263,265,267,290,292,293,295,315,310,311,273,316,313,1542,298,299,1393,1683,302,278,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372,849,650,643,641,639,637,635,634,633,561,387,386,385,379,378,377,848,649,605,603,602,503,497,458,612,611,609,607,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,862,681,662,647,646,645,644,625,624,590,589,588,587,575,552,533,532,531,530,529,528,527,525,517,516,515,493,477,476,475,434,433,406,404,403,400,396,395,394,393,391,390,389,388,384,381,357,326,325,324,323,322,319,852,623,444,851,628,925,793,792,791,790,789,788,787,786,784,747,724,723,690,689,653,652,651,627,593,578,574,573,572,570,520,519,500,492,491,466,463,447,446,443,442,441,431,429,428,427,423,421,420,418,417,413,412,375,371,370,369,368,339,338,337,335,334,333,329,1332,1278,1196,1195,1194,1193,1108,1107,961,960,959,958,957,956,955,954,953,951,947,941,940,939,938,937,934,931,929,928,927,890,889,831,830,800,797,796,758,757,755,753,751,734,632,631,630,629,556,555,518,452,451,450,1329,1328,1227,1226,1225,1219,1201,1200,1199,1198,1144,1143,1142,1141,1140,1139,1137,1135,1134,1133,1131,1129,1127,1123,1122,1121,1119,1117,1115,1113,1111,1109,988,987,891,872,871,829,810,809,807,805,804,803,802,1339,1338,1312,1311,1310,1230,1229,1228,896,1341,1325,1102,973,1342,1302,926,1355,1354,1356,155,97,96,95,83,73,783,673,672,671,669,579,534,456,972,845,908,907,850,833,832,706,704,703,702,701,661,660,659,658,488,656,680,679,678,677,676,592,591,584,582,495,366,363,362,353,1075,696,695,693,692,566,542,541,540,539,467,445,345,481,455,1186,1185,1014,1013,1012,1011,1006,920,919,847,846,794,777,776,772,736,707,614,501,471,461,440,344,858,856,855,854,843,842,738,715,714,713,712,711,710,709,708,550,549,548,484,482,365,970,861,860,859,857,853,820,782,781,717,667,666,665,664,560,559,558,480,479,478,992,901,866])).
% 7.43/7.30  cnf(2581,plain,
% 7.43/7.30     (~E(f11(f3(a2),a2),f13(f4(a2),a2))),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,1733,1782,1785,1798,1801,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,1726,156,158,161,162,163,164,165,166,167,168,170,171,172,173,174,175,176,177,178,179,180,182,187,188,189,190,191,192,193,195,196,197,198,199,200,201,202,203,206,208,210,211,212,215,216,219,220,223,224,226,227,229,230,231,232,235,236,237,238,239,240,241,242,243,244,245,246,247,248,250,252,256,257,259,260,261,262,263,265,267,290,292,293,295,315,310,311,273,316,313,1542,298,299,1393,1683,302,278,309,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372,849,650,643,641,639,637,635,634,633,561,387,386,385,379,378,377,848,649,605,603,602,503,497,458,612,611,609,607,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,862,681,662,647,646,645,644,625,624,590,589,588,587,575,552,533,532,531,530,529,528,527,525,517,516,515,493,477,476,475,434,433,406,404,403,400,396,395,394,393,391,390,389,388,384,381,357,326,325,324,323,322,319,852,623,444,851,628,925,793,792,791,790,789,788,787,786,784,747,724,723,690,689,653,652,651,627,593,578,574,573,572,570,520,519,500,492,491,466,463,447,446,443,442,441,431,429,428,427,423,421,420,418,417,413,412,375,371,370,369,368,339,338,337,335,334,333,329,1332,1278,1196,1195,1194,1193,1108,1107,961,960,959,958,957,956,955,954,953,951,947,941,940,939,938,937,934,931,929,928,927,890,889,831,830,800,797,796,758,757,755,753,751,734,632,631,630,629,556,555,518,452,451,450,1329,1328,1227,1226,1225,1219,1201,1200,1199,1198,1144,1143,1142,1141,1140,1139,1137,1135,1134,1133,1131,1129,1127,1123,1122,1121,1119,1117,1115,1113,1111,1109,988,987,891,872,871,829,810,809,807,805,804,803,802,1339,1338,1312,1311,1310,1230,1229,1228,896,1341,1325,1102,973,1342,1302,926,1355,1354,1356,155,97,96,95,83,73,783,673,672,671,669,579,534,456,972,845,908,907,850,833,832,706,704,703,702,701,661,660,659,658,488,656,680,679,678,677,676,592,591,584,582,495,366,363,362,353,1075,696,695,693,692,566,542,541,540,539,467,445,345,481,455,1186,1185,1014,1013,1012,1011,1006,920,919,847,846,794,777,776,772,736,707,614,501,471,461,440,344,858,856,855,854,843,842,738,715,714,713,712,711,710,709,708,550,549,548,484,482,365,970,861,860,859,857,853,820,782,781,717,667,666,665,664,560,559,558,480,479,478,992,901,866,563,551])).
% 7.43/7.30  cnf(2671,plain,
% 7.43/7.30     (P2(f3(a2),f12(a15,f3(a2),a2),a2)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,1733,1782,1785,1798,1801,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,1726,156,158,161,162,163,164,165,166,167,168,170,171,172,173,174,175,176,177,178,179,180,182,187,188,189,190,191,192,193,195,196,197,198,199,200,201,202,203,206,208,210,211,212,215,216,219,220,223,224,226,227,229,230,231,232,235,236,237,238,239,240,241,242,243,244,245,246,247,248,250,252,256,257,259,260,261,262,263,265,267,290,292,293,295,315,310,311,273,316,313,1542,298,299,1393,1683,302,278,309,312,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372,849,650,643,641,639,637,635,634,633,561,387,386,385,379,378,377,848,649,605,603,602,503,497,458,612,611,609,607,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,862,681,662,647,646,645,644,625,624,590,589,588,587,575,552,533,532,531,530,529,528,527,525,517,516,515,493,477,476,475,434,433,406,404,403,400,396,395,394,393,391,390,389,388,384,381,357,326,325,324,323,322,319,852,623,444,851,628,925,793,792,791,790,789,788,787,786,784,747,724,723,690,689,653,652,651,627,593,578,574,573,572,570,520,519,500,492,491,466,463,447,446,443,442,441,431,429,428,427,423,421,420,418,417,413,412,375,371,370,369,368,339,338,337,335,334,333,329,1332,1278,1196,1195,1194,1193,1108,1107,961,960,959,958,957,956,955,954,953,951,947,941,940,939,938,937,934,931,929,928,927,890,889,831,830,800,797,796,758,757,755,753,751,734,632,631,630,629,556,555,518,452,451,450,1329,1328,1227,1226,1225,1219,1201,1200,1199,1198,1144,1143,1142,1141,1140,1139,1137,1135,1134,1133,1131,1129,1127,1123,1122,1121,1119,1117,1115,1113,1111,1109,988,987,891,872,871,829,810,809,807,805,804,803,802,1339,1338,1312,1311,1310,1230,1229,1228,896,1341,1325,1102,973,1342,1302,926,1355,1354,1356,155,97,96,95,83,73,783,673,672,671,669,579,534,456,972,845,908,907,850,833,832,706,704,703,702,701,661,660,659,658,488,656,680,679,678,677,676,592,591,584,582,495,366,363,362,353,1075,696,695,693,692,566,542,541,540,539,467,445,345,481,455,1186,1185,1014,1013,1012,1011,1006,920,919,847,846,794,777,776,772,736,707,614,501,471,461,440,344,858,856,855,854,843,842,738,715,714,713,712,711,710,709,708,550,549,548,484,482,365,970,861,860,859,857,853,820,782,781,717,667,666,665,664,560,559,558,480,479,478,992,901,866,563,551,521,1283,1282,1189,1184,1148,827,826,824,823,577,576,487,486,485,1261,1334,1333,1309,1308,1280,1279,1239,1146,1145,1095,995,969,968,897,1092,1206,1236,1235,976,975,1352,1350,1347,1345,1327,1326,737,547,546])).
% 7.43/7.30  cnf(2687,plain,
% 7.43/7.30     (P4(x26871,f10(x26871,x26871,a2),a2)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,1733,1782,1785,1798,1801,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,1726,156,158,161,162,163,164,165,166,167,168,170,171,172,173,174,175,176,177,178,179,180,182,187,188,189,190,191,192,193,195,196,197,198,199,200,201,202,203,206,208,210,211,212,215,216,219,220,223,224,226,227,229,230,231,232,235,236,237,238,239,240,241,242,243,244,245,246,247,248,250,252,256,257,259,260,261,262,263,265,267,290,292,293,295,315,310,311,273,316,313,1542,298,299,1393,1683,302,278,309,312,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372,849,650,643,641,639,637,635,634,633,561,387,386,385,379,378,377,848,649,605,603,602,503,497,458,612,611,609,607,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,862,681,662,647,646,645,644,625,624,590,589,588,587,575,552,533,532,531,530,529,528,527,525,517,516,515,493,477,476,475,434,433,406,404,403,400,396,395,394,393,391,390,389,388,384,381,357,326,325,324,323,322,319,852,623,444,851,628,925,793,792,791,790,789,788,787,786,784,747,724,723,690,689,653,652,651,627,593,578,574,573,572,570,520,519,500,492,491,466,463,447,446,443,442,441,431,429,428,427,423,421,420,418,417,413,412,375,371,370,369,368,339,338,337,335,334,333,329,1332,1278,1196,1195,1194,1193,1108,1107,961,960,959,958,957,956,955,954,953,951,947,941,940,939,938,937,934,931,929,928,927,890,889,831,830,800,797,796,758,757,755,753,751,734,632,631,630,629,556,555,518,452,451,450,1329,1328,1227,1226,1225,1219,1201,1200,1199,1198,1144,1143,1142,1141,1140,1139,1137,1135,1134,1133,1131,1129,1127,1123,1122,1121,1119,1117,1115,1113,1111,1109,988,987,891,872,871,829,810,809,807,805,804,803,802,1339,1338,1312,1311,1310,1230,1229,1228,896,1341,1325,1102,973,1342,1302,926,1355,1354,1356,155,97,96,95,83,73,783,673,672,671,669,579,534,456,972,845,908,907,850,833,832,706,704,703,702,701,661,660,659,658,488,656,680,679,678,677,676,592,591,584,582,495,366,363,362,353,1075,696,695,693,692,566,542,541,540,539,467,445,345,481,455,1186,1185,1014,1013,1012,1011,1006,920,919,847,846,794,777,776,772,736,707,614,501,471,461,440,344,858,856,855,854,843,842,738,715,714,713,712,711,710,709,708,550,549,548,484,482,365,970,861,860,859,857,853,820,782,781,717,667,666,665,664,560,559,558,480,479,478,992,901,866,563,551,521,1283,1282,1189,1184,1148,827,826,824,823,577,576,487,486,485,1261,1334,1333,1309,1308,1280,1279,1239,1146,1145,1095,995,969,968,897,1092,1206,1236,1235,976,975,1352,1350,1347,1345,1327,1326,737,547,546,914,913,993,1017,1015,986,983,980])).
% 7.43/7.30  cnf(2832,plain,
% 7.43/7.30     (~E(f17(x28321,x28322),f3(a2))),
% 7.43/7.30     inference(rename_variables,[],[313])).
% 7.43/7.30  cnf(2885,plain,
% 7.43/7.30     (P3(x28851,x28851,a2)),
% 7.43/7.30     inference(rename_variables,[],[291])).
% 7.43/7.30  cnf(2889,plain,
% 7.43/7.30     (P3(x28891,x28891,a2)),
% 7.43/7.30     inference(rename_variables,[],[291])).
% 7.43/7.30  cnf(2904,plain,
% 7.43/7.30     (P3(f9(f14(x29041,f13(a15,a2),a2),f13(a15,a2),a2),x29041,a2)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,1733,1782,1785,1798,1801,2885,2889,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,1726,156,157,158,159,161,162,163,164,165,166,167,168,170,171,172,173,174,175,176,177,178,179,180,182,183,185,187,188,189,190,191,192,193,195,196,197,198,199,200,201,202,203,204,205,206,208,210,211,212,213,215,216,219,220,222,223,224,226,227,229,230,231,232,235,236,237,238,239,240,241,242,243,244,245,246,247,248,250,252,254,256,257,259,260,261,262,263,265,267,290,292,293,295,315,310,311,273,316,304,313,1542,2832,298,299,1393,1683,302,303,278,309,1562,312,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372,849,650,643,641,639,637,635,634,633,561,387,386,385,379,378,377,848,649,605,603,602,503,497,458,612,611,609,607,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,862,681,662,647,646,645,644,625,624,590,589,588,587,575,552,533,532,531,530,529,528,527,525,517,516,515,493,477,476,475,434,433,406,404,403,400,396,395,394,393,391,390,389,388,384,381,357,326,325,324,323,322,319,852,623,444,851,628,925,793,792,791,790,789,788,787,786,784,747,724,723,690,689,653,652,651,627,593,578,574,573,572,570,520,519,500,492,491,466,463,447,446,443,442,441,431,429,428,427,423,421,420,418,417,413,412,375,371,370,369,368,339,338,337,335,334,333,329,1332,1278,1196,1195,1194,1193,1108,1107,961,960,959,958,957,956,955,954,953,951,947,941,940,939,938,937,934,931,929,928,927,890,889,831,830,800,797,796,758,757,755,753,751,734,632,631,630,629,556,555,518,452,451,450,1329,1328,1227,1226,1225,1219,1201,1200,1199,1198,1144,1143,1142,1141,1140,1139,1137,1135,1134,1133,1131,1129,1127,1123,1122,1121,1119,1117,1115,1113,1111,1109,988,987,891,872,871,829,810,809,807,805,804,803,802,1339,1338,1312,1311,1310,1230,1229,1228,896,1341,1325,1102,973,1342,1302,926,1355,1354,1356,155,97,96,95,83,73,783,673,672,671,669,579,534,456,972,845,908,907,850,833,832,706,704,703,702,701,661,660,659,658,488,656,680,679,678,677,676,592,591,584,582,495,366,363,362,353,1075,696,695,693,692,566,542,541,540,539,467,445,345,481,455,1186,1185,1014,1013,1012,1011,1006,920,919,847,846,794,777,776,772,736,707,614,501,471,461,440,344,858,856,855,854,843,842,738,715,714,713,712,711,710,709,708,550,549,548,484,482,365,970,861,860,859,857,853,820,782,781,717,667,666,665,664,560,559,558,480,479,478,992,901,866,563,551,521,1283,1282,1189,1184,1148,827,826,824,823,577,576,487,486,485,1261,1334,1333,1309,1308,1280,1279,1239,1146,1145,1095,995,969,968,897,1092,1206,1236,1235,976,975,1352,1350,1347,1345,1327,1326,737,547,546,914,913,993,1017,1015,986,983,980,979,978,367,1183,504,459,865,1197,1153,1149,918,917,916,915,894,733,732,731,729,728,726,687,626,564,1180,1179,1178,1176,1175,1174,1172,1171,1169,1168,1167,1164,1162,1160,725,999,997,996,876,875,874,873,1204,1202,1052,1051,1048,1047,1046,1045,1042,1040,1039,1038,1037,1036,1035,1034,1033,1032,1031,1028,1027,1026,1023,1022,1021,554,744,990,989,902,1301,1246,1245,1281,1303,1336,1335,1249,1248,1247,1299,1298,1324,1216,1215,1182,1181,1057,1055,1053,1343,886,885,888,1293,1286,1263,1275,1274,1273])).
% 7.43/7.30  cnf(2910,plain,
% 7.43/7.30     (P3(x29101,f9(f14(x29101,f13(a15,a2),a2),f13(a15,a2),a2),a2)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,1733,1782,1785,1798,1801,2885,2889,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,1726,156,157,158,159,161,162,163,164,165,166,167,168,170,171,172,173,174,175,176,177,178,179,180,182,183,185,187,188,189,190,191,192,193,195,196,197,198,199,200,201,202,203,204,205,206,208,210,211,212,213,215,216,219,220,222,223,224,226,227,229,230,231,232,235,236,237,238,239,240,241,242,243,244,245,246,247,248,250,252,254,256,257,259,260,261,262,263,265,267,290,292,293,295,315,310,311,273,316,304,313,1542,2832,298,299,1393,1683,302,303,278,309,1562,312,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372,849,650,643,641,639,637,635,634,633,561,387,386,385,379,378,377,848,649,605,603,602,503,497,458,612,611,609,607,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,862,681,662,647,646,645,644,625,624,590,589,588,587,575,552,533,532,531,530,529,528,527,525,517,516,515,493,477,476,475,434,433,406,404,403,400,396,395,394,393,391,390,389,388,384,381,357,326,325,324,323,322,319,852,623,444,851,628,925,793,792,791,790,789,788,787,786,784,747,724,723,690,689,653,652,651,627,593,578,574,573,572,570,520,519,500,492,491,466,463,447,446,443,442,441,431,429,428,427,423,421,420,418,417,413,412,375,371,370,369,368,339,338,337,335,334,333,329,1332,1278,1196,1195,1194,1193,1108,1107,961,960,959,958,957,956,955,954,953,951,947,941,940,939,938,937,934,931,929,928,927,890,889,831,830,800,797,796,758,757,755,753,751,734,632,631,630,629,556,555,518,452,451,450,1329,1328,1227,1226,1225,1219,1201,1200,1199,1198,1144,1143,1142,1141,1140,1139,1137,1135,1134,1133,1131,1129,1127,1123,1122,1121,1119,1117,1115,1113,1111,1109,988,987,891,872,871,829,810,809,807,805,804,803,802,1339,1338,1312,1311,1310,1230,1229,1228,896,1341,1325,1102,973,1342,1302,926,1355,1354,1356,155,97,96,95,83,73,783,673,672,671,669,579,534,456,972,845,908,907,850,833,832,706,704,703,702,701,661,660,659,658,488,656,680,679,678,677,676,592,591,584,582,495,366,363,362,353,1075,696,695,693,692,566,542,541,540,539,467,445,345,481,455,1186,1185,1014,1013,1012,1011,1006,920,919,847,846,794,777,776,772,736,707,614,501,471,461,440,344,858,856,855,854,843,842,738,715,714,713,712,711,710,709,708,550,549,548,484,482,365,970,861,860,859,857,853,820,782,781,717,667,666,665,664,560,559,558,480,479,478,992,901,866,563,551,521,1283,1282,1189,1184,1148,827,826,824,823,577,576,487,486,485,1261,1334,1333,1309,1308,1280,1279,1239,1146,1145,1095,995,969,968,897,1092,1206,1236,1235,976,975,1352,1350,1347,1345,1327,1326,737,547,546,914,913,993,1017,1015,986,983,980,979,978,367,1183,504,459,865,1197,1153,1149,918,917,916,915,894,733,732,731,729,728,726,687,626,564,1180,1179,1178,1176,1175,1174,1172,1171,1169,1168,1167,1164,1162,1160,725,999,997,996,876,875,874,873,1204,1202,1052,1051,1048,1047,1046,1045,1042,1040,1039,1038,1037,1036,1035,1034,1033,1032,1031,1028,1027,1026,1023,1022,1021,554,744,990,989,902,1301,1246,1245,1281,1303,1336,1335,1249,1248,1247,1299,1298,1324,1216,1215,1182,1181,1057,1055,1053,1343,886,885,888,1293,1286,1263,1275,1274,1273,1270,1269,1268])).
% 7.43/7.30  cnf(3027,plain,
% 7.43/7.30     (~P3(f14(f10(a34,a15,a2),f32(a34),a2),f14(f10(a34,a15,a2),f4(a2),a2),a2)),
% 7.43/7.30     inference(scs_inference,[],[271,291,1382,1384,1404,1409,1412,1415,1418,1433,1508,1511,1545,1559,1563,1613,1635,1641,1644,1680,1694,1707,1713,1716,1719,1723,1727,1730,1733,1782,1785,1798,1801,2885,2889,314,1363,1366,1376,1379,1386,1388,1421,1424,1427,1430,1442,1447,1450,1453,1456,1459,1462,1465,1488,1491,1514,1517,1520,1523,1526,1529,1532,1535,1554,1566,1569,1572,1575,1580,1597,1600,1603,1606,1628,1631,1634,1638,1647,1652,1657,1660,1663,1666,1669,1693,1697,1700,1703,1706,1710,1722,1726,156,157,158,159,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,182,183,185,187,188,189,190,191,192,193,195,196,197,198,199,200,201,202,203,204,205,206,208,210,211,212,213,215,216,217,219,220,222,223,224,226,227,229,230,231,232,235,236,237,238,239,240,241,242,243,244,245,246,247,248,250,252,254,256,257,259,260,261,262,263,265,267,290,292,293,295,315,310,311,273,316,304,313,1542,2832,298,299,1393,1683,1686,302,303,278,309,1562,312,283,2,474,618,617,490,448,317,622,621,82,81,72,71,3,675,648,580,565,537,799,798,557,912,910,906,904,841,840,837,836,705,346,509,867,720,341,780,779,774,965,743,741,740,739,585,499,489,352,351,350,349,348,347,967,964,963,962,498,411,895,523,522,1351,1349,1348,1346,819,818,817,816,815,814,684,601,595,1016,697,510,505,991,698,1152,893,768,767,766,764,763,762,360,1234,1233,1232,1231,1191,1190,1205,1203,1101,1100,1063,1050,1030,1029,971,760,759,514,512,1241,1240,1003,1002,1001,1000,1213,1211,1209,1207,1091,1089,1088,1085,1084,1077,1076,1058,878,877,1159,1158,553,1157,1156,1155,1154,1074,1073,1072,1071,1287,1285,1276,1267,1264,1262,562,502,374,372,849,650,643,641,639,637,635,634,633,561,387,386,385,379,378,377,848,649,605,603,602,503,497,458,612,611,609,607,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,862,681,662,647,646,645,644,625,624,590,589,588,587,575,552,533,532,531,530,529,528,527,525,517,516,515,493,477,476,475,434,433,406,404,403,400,396,395,394,393,391,390,389,388,384,381,357,326,325,324,323,322,319,852,623,444,851,628,925,793,792,791,790,789,788,787,786,784,747,724,723,690,689,653,652,651,627,593,578,574,573,572,570,520,519,500,492,491,466,463,447,446,443,442,441,431,429,428,427,423,421,420,418,417,413,412,375,371,370,369,368,339,338,337,335,334,333,329,1332,1278,1196,1195,1194,1193,1108,1107,961,960,959,958,957,956,955,954,953,951,947,941,940,939,938,937,934,931,929,928,927,890,889,831,830,800,797,796,758,757,755,753,751,734,632,631,630,629,556,555,518,452,451,450,1329,1328,1227,1226,1225,1219,1201,1200,1199,1198,1144,1143,1142,1141,1140,1139,1137,1135,1134,1133,1131,1129,1127,1123,1122,1121,1119,1117,1115,1113,1111,1109,988,987,891,872,871,829,810,809,807,805,804,803,802,1339,1338,1312,1311,1310,1230,1229,1228,896,1341,1325,1102,973,1342,1302,926,1355,1354,1356,155,97,96,95,83,73,783,673,672,671,669,579,534,456,972,845,908,907,850,833,832,706,704,703,702,701,661,660,659,658,488,656,680,679,678,677,676,592,591,584,582,495,366,363,362,353,1075,696,695,693,692,566,542,541,540,539,467,445,345,481,455,1186,1185,1014,1013,1012,1011,1006,920,919,847,846,794,777,776,772,736,707,614,501,471,461,440,344,858,856,855,854,843,842,738,715,714,713,712,711,710,709,708,550,549,548,484,482,365,970,861,860,859,857,853,820,782,781,717,667,666,665,664,560,559,558,480,479,478,992,901,866,563,551,521,1283,1282,1189,1184,1148,827,826,824,823,577,576,487,486,485,1261,1334,1333,1309,1308,1280,1279,1239,1146,1145,1095,995,969,968,897,1092,1206,1236,1235,976,975,1352,1350,1347,1345,1327,1326,737,547,546,914,913,993,1017,1015,986,983,980,979,978,367,1183,504,459,865,1197,1153,1149,918,917,916,915,894,733,732,731,729,728,726,687,626,564,1180,1179,1178,1176,1175,1174,1172,1171,1169,1168,1167,1164,1162,1160,725,999,997,996,876,875,874,873,1204,1202,1052,1051,1048,1047,1046,1045,1042,1040,1039,1038,1037,1036,1035,1034,1033,1032,1031,1028,1027,1026,1023,1022,1021,554,744,990,989,902,1301,1246,1245,1281,1303,1336,1335,1249,1248,1247,1299,1298,1324,1216,1215,1182,1181,1057,1055,1053,1343,886,885,888,1293,1286,1263,1275,1274,1273,1270,1269,1268,1266,376,615,318,620,151,844,839,838,835,834,583,581,494,364,1244,1243,1242,1106,1105,1104,1103,900,898,870,868,655,654,508,1188,1187,1010,1009,1008,1007,1005,1004,795,735,613,409,880,879,813,812,811,1094,1218,1217,1151,1150,1331,1330,822,923,884,1253,1252,1250])).
% 7.43/7.30  cnf(3037,plain,
% 7.43/7.30     (~P3(f12(a15,x30371,a2),x30371,a2)),
% 7.43/7.30     inference(rename_variables,[],[1637])).
% 7.43/7.30  cnf(3046,plain,
% 7.43/7.30     (~P3(f12(a15,x30461,a2),x30461,a2)),
% 7.43/7.30     inference(rename_variables,[],[1637])).
% 7.43/7.30  cnf(3057,plain,
% 7.43/7.30     (P3(f32(x30571),f4(a2),a2)),
% 7.43/7.30     inference(rename_variables,[],[299])).
% 7.43/7.30  cnf(3063,plain,
% 7.43/7.30     (P2(x30631,f12(x30631,f4(a2),a2),a2)),
% 7.43/7.30     inference(rename_variables,[],[1867])).
% 7.43/7.30  cnf(3069,plain,
% 7.43/7.30     (P2(x30691,f12(x30691,f4(a2),a2),a2)),
% 7.43/7.30     inference(rename_variables,[],[1867])).
% 7.43/7.30  cnf(3070,plain,
% 7.43/7.30     (P2(x30701,f12(x30701,f4(a2),a2),a2)),
% 7.43/7.30     inference(rename_variables,[],[1867])).
% 7.43/7.30  cnf(3073,plain,
% 7.43/7.30     (~P2(x30731,x30731,a2)),
% 7.43/7.30     inference(rename_variables,[],[314])).
% 7.43/7.30  cnf(3077,plain,
% 7.43/7.30     (P2(x30771,f12(x30771,f4(a2),a2),a2)),
% 7.43/7.30     inference(rename_variables,[],[1867])).
% 7.43/7.30  cnf(3080,plain,
% 7.43/7.30     (P3(x30801,x30801,a2)),
% 7.43/7.30     inference(rename_variables,[],[291])).
% 7.43/7.30  cnf(3081,plain,
% 7.43/7.30     (P3(x30811,x30811,a2)),
% 7.43/7.30     inference(rename_variables,[],[291])).
% 7.43/7.30  cnf(3101,plain,
% 7.43/7.30     (P3(f32(x31011),f4(a2),a2)),
% 7.43/7.30     inference(rename_variables,[],[299])).
% 7.43/7.30  cnf(3106,plain,
% 7.43/7.30     (P3(f32(x31061),f4(a2),a2)),
% 7.43/7.30     inference(rename_variables,[],[299])).
% 7.43/7.30  cnf(3109,plain,
% 7.43/7.30     (P3(x31091,x31091,a1)),
% 7.43/7.30     inference(rename_variables,[],[1739])).
% 7.43/7.30  cnf(3112,plain,
% 7.43/7.30     (P3(x31121,x31121,a1)),
% 7.43/7.30     inference(rename_variables,[],[1739])).
% 7.43/7.30  cnf(3117,plain,
% 7.43/7.30     (P3(x31171,x31171,a1)),
% 7.43/7.30     inference(rename_variables,[],[1739])).
% 7.43/7.30  cnf(3129,plain,
% 7.43/7.30     (P3(x31291,x31291,a2)),
% 7.43/7.30     inference(rename_variables,[],[291])).
% 7.43/7.30  cnf(3145,plain,
% 7.43/7.30     (~P3(f12(a15,x31451,a2),x31451,a2)),
% 7.43/7.30     inference(rename_variables,[],[1637])).
% 7.43/7.30  cnf(3219,plain,
% 7.43/7.30     ($false),
% 7.43/7.30     inference(scs_inference,[],[228,305,225,234,291,3081,3129,3080,314,3073,237,299,3057,3101,3106,312,313,309,247,169,303,217,243,178,211,219,224,252,174,199,302,316,206,168,246,295,182,173,198,166,177,188,315,223,195,162,164,196,292,176,179,197,156,167,171,2581,1383,1469,1390,1381,2505,2535,1539,1915,1873,2577,2507,1739,3109,3112,3117,1741,2687,1414,1420,2467,2904,2910,2361,1594,1432,1867,3063,3070,3077,3069,1637,3037,3046,3145,1561,1640,1599,2447,2451,2671,3027,2343,1869,1891,1401,1913,604,719,718,994,700,511,761,922,881,1251,1170,1161,1296,1322,1284,864,1291,1320,1318,1358,1357,1265,1315,1258,1173,924,883,1260,1259,1257,1256,1255,1254,675,580,845,908,907,906,841,837,836,834,833,832,706,702,660,659,678,677,676,592,584,582,1010,920,919,777,842,895,866,522,521,1282,1184,1309,1095,1206,1352,1347,1345,1326,979,991,1153,1149,918,731]),
% 7.43/7.30     ['proof']).
% 7.43/7.30  % SZS output end Proof
% 7.43/7.30  % Total time :6.210000s
%------------------------------------------------------------------------------