TSTP Solution File: SWV573-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV573-1 : 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 : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:34:30 EDT 2023
% Result : Unsatisfiable 12.19s 12.31s
% Output : CNFRefutation 12.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV573-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Aug 29 10:55:05 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.22/0.55 start to proof:theBenchmark
% 12.12/12.23 %-------------------------------------------
% 12.12/12.23 % File :CSE---1.6
% 12.12/12.23 % Problem :theBenchmark
% 12.12/12.23 % Transform :cnf
% 12.12/12.23 % Format :tptp:raw
% 12.12/12.23 % Command :java -jar mcs_scs.jar %d %s
% 12.12/12.23
% 12.12/12.23 % Result :Theorem 11.180000s
% 12.12/12.23 % Output :CNFRefutation 11.180000s
% 12.12/12.23 %-------------------------------------------
% 12.12/12.24 %------------------------------------------------------------------------------
% 12.12/12.24 % File : SWV573-1 : TPTP v8.1.2. Released v4.1.0.
% 12.12/12.24 % Domain : Software Verification
% 12.12/12.24 % Problem : Fast Fourier Transform 028_3
% 12.12/12.24 % Version : Especial.
% 12.12/12.24 % English : Formalization of a functional implementation of the FFT algorithm
% 12.12/12.24 % over the complex numbers, and its inverse. Both are shown
% 12.12/12.24 % equivalent to the usual definitions of these operations through
% 12.12/12.24 % Vandermonde matrices. They are also shown to be inverse to each
% 12.12/12.24 % other, more precisely, that composition of the inverse and the
% 12.12/12.24 % transformation yield the identity up to a scalar.
% 12.12/12.24
% 12.12/12.24 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 12.12/12.24 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 12.12/12.24 % Source : [Nip10]
% 12.12/12.24 % Names : FFT-028_3 [Nip10]
% 12.12/12.24
% 12.12/12.24 % Status : Unsatisfiable
% 12.12/12.24 % Rating : 0.10 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.18 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.18 v6.2.0, 0.20 v6.1.0, 0.21 v6.0.0, 0.20 v5.5.0, 0.45 v5.3.0, 0.39 v5.2.0, 0.31 v5.1.0, 0.41 v5.0.0, 0.36 v4.1.0
% 12.12/12.24 % Syntax : Number of clauses : 1264 ( 268 unt; 213 nHn; 857 RR)
% 12.12/12.24 % Number of literals : 3721 ( 728 equ;2242 neg)
% 12.12/12.24 % Maximal clause size : 7 ( 2 avg)
% 12.12/12.24 % Maximal term depth : 6 ( 1 avg)
% 12.12/12.24 % Number of predicates : 76 ( 75 usr; 0 prp; 1-3 aty)
% 12.12/12.24 % Number of functors : 40 ( 40 usr; 7 con; 0-3 aty)
% 12.12/12.24 % Number of variables : 3043 ( 137 sgn)
% 12.12/12.24 % SPC : CNF_UNS_RFO_SEQ_NHN
% 12.12/12.24
% 12.12/12.24 % Comments :
% 12.12/12.24 %------------------------------------------------------------------------------
% 12.12/12.24 cnf(cls_order__less__le_2,axiom,
% 12.12/12.24 ( ~ class_Orderings_Oorder(T_a)
% 12.12/12.24 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 12.12/12.24 | V_x = V_y
% 12.12/12.24 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 12.12/12.24
% 12.12/12.24 cnf(cls_mod__div__equality2_0,axiom,
% 12.12/12.24 ( ~ class_Divides_Osemiring__div(T_a)
% 12.12/12.24 | 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 ) ).
% 12.12/12.24
% 12.12/12.24 cnf(cls_mod__div__equality_0,axiom,
% 12.12/12.24 ( ~ class_Divides_Osemiring__div(T_a)
% 12.12/12.24 | 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 ) ).
% 12.12/12.24
% 12.12/12.24 cnf(cls_mod__div__decomp_0,axiom,
% 12.12/12.24 ( ~ class_Divides_Osemiring__div(T_a)
% 12.12/12.24 | 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) ) ).
% 12.12/12.24
% 12.12/12.24 cnf(cls_zmod__simps_I1_J_0,axiom,
% 12.12/12.24 ( ~ class_Divides_Osemiring__div(T_a)
% 12.12/12.24 | 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) ) ).
% 12.12/12.24
% 12.12/12.24 cnf(cls_zmod__simps_I2_J_0,axiom,
% 12.12/12.24 ( ~ class_Divides_Osemiring__div(T_a)
% 12.12/12.24 | 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) ) ).
% 12.12/12.24
% 12.12/12.24 cnf(cls_le__eqI_0,axiom,
% 12.12/12.24 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.12/12.24 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 12.12/12.24 | c_lessequals(V_y_H,V_x_H,T_a)
% 12.12/12.24 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 12.12/12.24
% 12.12/12.24 cnf(cls_le__eqI_1,axiom,
% 12.12/12.24 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.12/12.24 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 12.12/12.24 | c_lessequals(V_y,V_x,T_a)
% 12.12/12.24 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 12.12/12.24
% 12.12/12.24 cnf(cls_less__eqI_0,axiom,
% 12.12/12.24 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.12/12.24 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 12.12/12.24 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 12.12/12.24 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 12.12/12.24
% 12.12/12.24 cnf(cls_less__eqI_1,axiom,
% 12.12/12.24 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.12/12.24 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 12.12/12.24 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 12.12/12.24 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 12.12/12.24
% 12.12/12.24 cnf(cls_le__divide__eq__number__of_5,axiom,
% 12.12/12.24 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.12/12.24 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.12/12.24 | ~ class_Int_Onumber(T_a)
% 12.12/12.24 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.12/12.24 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.12/12.24 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 12.12/12.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.12/12.24
% 12.12/12.24 cnf(cls_le__divide__eq__number__of_7,axiom,
% 12.12/12.24 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.12/12.24 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.12/12.24 | ~ class_Int_Onumber(T_a)
% 12.12/12.24 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.12/12.24 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.12/12.24 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.12/12.24 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 12.12/12.24
% 12.12/12.24 cnf(cls_le__divide__eq__number__of_0,axiom,
% 12.12/12.24 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.12/12.24 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.12/12.24 | ~ class_Int_Onumber(T_a)
% 12.12/12.24 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 12.12/12.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.12/12.24 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 12.12/12.24
% 12.12/12.24 cnf(cls_le__divide__eq__number__of_6,axiom,
% 12.12/12.24 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.12/12.24 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.12/12.24 | ~ class_Int_Onumber(T_a)
% 12.12/12.24 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.12/12.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.12/12.24 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 12.12/12.24
% 12.12/12.24 cnf(cls_less__divide__eq__number__of_6,axiom,
% 12.12/12.24 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.12/12.24 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.12/12.24 | ~ class_Int_Onumber(T_a)
% 12.12/12.24 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.12/12.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.12/12.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 12.12/12.24
% 12.12/12.24 cnf(cls_less__divide__eq__number__of_0,axiom,
% 12.12/12.24 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.12/12.24 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.12/12.24 | ~ class_Int_Onumber(T_a)
% 12.12/12.24 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 12.12/12.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.12/12.25 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 12.12/12.25
% 12.12/12.25 cnf(cls_of__real__mult_0,axiom,
% 12.12/12.25 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 12.12/12.25 | 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) ) ).
% 12.12/12.25
% 12.12/12.25 cnf(cls_inverse__eq__iff__eq_0,axiom,
% 12.12/12.25 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 12.12/12.25 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.12/12.25 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 12.12/12.25 | V_a = V_b ) ).
% 12.12/12.25
% 12.12/12.25 cnf(cls_complex__Re__one_0,axiom,
% 12.12/12.25 c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 12.12/12.25
% 12.12/12.25 cnf(cls_mult__strict__mono_H_0,axiom,
% 12.12/12.25 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 12.12/12.25 | 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)
% 12.19/12.25 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.25 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.25 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 12.19/12.25 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.25
% 12.19/12.25 cnf(cls_sgn__div__norm_0,axiom,
% 12.19/12.25 ( ~ class_RealVector_Osgn__div__norm(T_a)
% 12.19/12.25 | 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) ) ).
% 12.19/12.25
% 12.19/12.25 cnf(cls_mult__idem_0,axiom,
% 12.19/12.25 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 12.19/12.25 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 12.19/12.25
% 12.19/12.25 cnf(cls_divide__nonpos__pos_0,axiom,
% 12.19/12.25 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.25 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 12.19/12.25 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.25
% 12.19/12.25 cnf(cls_divide__nonneg__neg_0,axiom,
% 12.19/12.25 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.25 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.25 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.25 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 12.19/12.25
% 12.19/12.25 cnf(cls_zero__less__divide__iff_3,axiom,
% 12.19/12.25 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.25 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.25 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.25 | ~ 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) ) ).
% 12.19/12.25
% 12.19/12.25 cnf(cls_zero__less__divide__iff_2,axiom,
% 12.19/12.25 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.25 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.25 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.25 | ~ 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) ) ).
% 12.19/12.25
% 12.19/12.25 cnf(cls_zero__less__divide__iff_1,axiom,
% 12.19/12.25 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.25 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.25 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.25 | ~ 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) ) ).
% 12.19/12.25
% 12.19/12.25 cnf(cls_zero__less__divide__iff_0,axiom,
% 12.19/12.25 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.25 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.25 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.25 | ~ 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) ) ).
% 12.19/12.25
% 12.19/12.25 cnf(cls_Complex__eq__1_0,axiom,
% 12.19/12.25 ( c_Complex_Ocomplex_OComplex(V_a,V_b) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
% 12.19/12.25 | V_a = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 12.19/12.25
% 12.19/12.25 cnf(cls_zero__le__dist_0,axiom,
% 12.19/12.25 ( ~ class_RealVector_Ometric__space(T_a)
% 12.19/12.25 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(V_x,V_y,T_a),tc_RealDef_Oreal) ) ).
% 12.19/12.25
% 12.19/12.25 cnf(cls_mult__imp__less__div__pos_0,axiom,
% 12.19/12.25 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.25 | c_HOL_Oord__class_Oless(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 12.19/12.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)
% 12.19/12.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 12.19/12.25
% 12.19/12.25 cnf(cls_mult__imp__div__pos__less_0,axiom,
% 12.19/12.25 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.25 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)
% 12.19/12.25 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)
% 12.19/12.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 12.19/12.25
% 12.19/12.25 cnf(cls_less__divide__eq_6,axiom,
% 12.19/12.25 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.25 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.25 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 12.19/12.25
% 12.19/12.25 cnf(cls_less__divide__eq_0,axiom,
% 12.19/12.25 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.25 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.25 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 12.19/12.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.25 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 12.19/12.25
% 12.19/12.25 cnf(cls_divide__less__eq_6,axiom,
% 12.19/12.25 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.25 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.25 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 12.19/12.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.25 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 12.19/12.25
% 12.19/12.25 cnf(cls_divide__less__eq_0,axiom,
% 12.19/12.25 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.25 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.25 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 12.19/12.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 12.19/12.25
% 12.19/12.25 cnf(cls_inverse__unique_0,axiom,
% 12.19/12.25 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 12.19/12.25 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a)
% 12.19/12.25 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = V_b ) ).
% 12.19/12.25
% 12.19/12.25 cnf(cls_real__vector_Oscale__one_0,axiom,
% 12.19/12.25 ( ~ class_RealVector_Oreal__vector(T_a)
% 12.19/12.25 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,T_a) = V_x ) ).
% 12.19/12.25
% 12.19/12.25 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 12.19/12.25 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.25 | 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)
% 12.19/12.25 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.25
% 12.19/12.25 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 12.19/12.25 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.25 | 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)
% 12.19/12.25 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.25
% 12.19/12.25 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Oidom(T_a)
% 12.19/12.26 | ~ class_Int_Onumber__ring(T_a)
% 12.19/12.26 | 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)
% 12.19/12.26 | V_c = V_d
% 12.19/12.26 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_ge__one__powr__ge__zero_0,axiom,
% 12.19/12.26 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(V_x,V_a),tc_RealDef_Oreal)
% 12.19/12.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_a,tc_RealDef_Oreal)
% 12.19/12.26 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_mult__right__mono__neg_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 12.19/12.26 | 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)
% 12.19/12.26 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.26 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_mult__left__mono__neg_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 12.19/12.26 | 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)
% 12.19/12.26 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.26 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_mult__right__mono_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 12.19/12.26 | 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)
% 12.19/12.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.26 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_mult__left__mono_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 12.19/12.26 | 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)
% 12.19/12.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.26 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_mult__mono1_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 12.19/12.26 | 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)
% 12.19/12.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.26 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_inverse__divide_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.26 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.26 | 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) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_inverse__negative__imp__negative_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.26 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.26 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_DERIV__inverse__lemma_0,axiom,
% 12.19/12.26 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 12.19/12.26 | 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)
% 12.19/12.26 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.26 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_norm__sgn_1,axiom,
% 12.19/12.26 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.26 | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(V_x,T_a),T_a) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 12.19/12.26 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_real__sqrt__eq__iff_0,axiom,
% 12.19/12.26 ( c_NthRoot_Osqrt(V_x) != c_NthRoot_Osqrt(V_y)
% 12.19/12.26 | V_x = V_y ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_pos__add__strict_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 12.19/12.26 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 12.19/12.26 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 12.19/12.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_of__real__inverse_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.26 | ~ class_RealVector_Oreal__div__algebra(T_a)
% 12.19/12.26 | 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) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_real__sqrt__ge__zero_0,axiom,
% 12.19/12.26 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal)
% 12.19/12.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_real__sqrt__ge__0__iff_0,axiom,
% 12.19/12.26 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 12.19/12.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_real__sqrt__ge__0__iff_1,axiom,
% 12.19/12.26 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 12.19/12.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_add__minus__cancel_0,axiom,
% 12.19/12.26 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.26 | 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 ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_abs__le__D2_0,axiom,
% 12.19/12.26 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.26 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 12.19/12.26 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_cos__le__one_0,axiom,
% 12.19/12.26 c_lessequals(c_Transcendental_Ocos(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_mult__pos__neg2_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 12.19/12.26 | 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)
% 12.19/12.26 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_mult__pos__neg_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 12.19/12.26 | 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)
% 12.19/12.26 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_mult__neg__pos_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 12.19/12.26 | 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)
% 12.19/12.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.26 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_mult__le__0__iff_3,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.26 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.26 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_mult__le__0__iff_2,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.26 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.26 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.26 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_mult__le__0__iff_1,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.26 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_mult__le__0__iff_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.26 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.26 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_order__le__less_0,axiom,
% 12.19/12.26 ( ~ class_Orderings_Oorder(T_a)
% 12.19/12.26 | V_x = V_y
% 12.19/12.26 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 12.19/12.26 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_real__less__def_2,axiom,
% 12.19/12.26 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 12.19/12.26 | V_x = V_y
% 12.19/12.26 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_order__le__neq__trans_0,axiom,
% 12.19/12.26 ( ~ class_Orderings_Oorder(T_a)
% 12.19/12.26 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 12.19/12.26 | V_a = V_b
% 12.19/12.26 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_order__neq__le__trans_0,axiom,
% 12.19/12.26 ( ~ class_Orderings_Oorder(T_a)
% 12.19/12.26 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 12.19/12.26 | ~ c_lessequals(V_a,V_b,T_a)
% 12.19/12.26 | V_a = V_b ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_linorder__antisym__conv1_0,axiom,
% 12.19/12.26 ( ~ class_Orderings_Olinorder(T_a)
% 12.19/12.26 | V_x = V_y
% 12.19/12.26 | ~ c_lessequals(V_x,V_y,T_a)
% 12.19/12.26 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_linorder__antisym__conv2_0,axiom,
% 12.19/12.26 ( ~ class_Orderings_Olinorder(T_a)
% 12.19/12.26 | V_x = V_y
% 12.19/12.26 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 12.19/12.26 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_xt1_I12_J_0,axiom,
% 12.19/12.26 ( ~ class_Orderings_Oorder(T_a)
% 12.19/12.26 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 12.19/12.26 | ~ c_lessequals(V_b,V_a,T_a)
% 12.19/12.26 | V_a = V_b ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_xt1_I11_J_0,axiom,
% 12.19/12.26 ( ~ class_Orderings_Oorder(T_a)
% 12.19/12.26 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 12.19/12.26 | V_a = V_b
% 12.19/12.26 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_divide__right__mono_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.26 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.26 | 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)
% 12.19/12.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.26 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_divide__right__mono__neg_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.26 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.26 | 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)
% 12.19/12.26 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.26 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_inverse__minus__eq_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 12.19/12.26 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.26 | 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) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_split__mult__pos__le_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 12.19/12.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 12.19/12.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_split__mult__pos__le_1,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 12.19/12.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 12.19/12.26 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.26 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 12.19/12.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 12.19/12.26 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.26 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_zero__le__square_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_zero__le__mult__iff_4,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 12.19/12.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_zero__le__mult__iff_5,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 12.19/12.26 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.26 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 12.19/12.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 12.19/12.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_norm__mult__less_0,axiom,
% 12.19/12.26 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.26 | 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)
% 12.19/12.26 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal)
% 12.19/12.26 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_right__inverse__eq_0,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.26 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a)
% 12.19/12.26 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.26 | V_a = V_b ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_class__ring_Oneg__mul_0,axiom,
% 12.19/12.26 ( ~ class_Int_Onumber__ring(T_a)
% 12.19/12.26 | 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) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_of__real__def_0,axiom,
% 12.19/12.26 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 12.19/12.26 | c_RealVector_Oof__real(V_r,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_abs__triangle__ineq2_0,axiom,
% 12.19/12.26 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.26 | 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) ) ).
% 12.19/12.26
% 12.19/12.26 cnf(cls_divide__le__eq__number__of1_7,axiom,
% 12.19/12.26 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | ~ class_Int_Onumber(T_a)
% 12.19/12.27 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 12.19/12.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_le__divide__eq__number__of1_7,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | ~ class_Int_Onumber(T_a)
% 12.19/12.27 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.27 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 12.19/12.27 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_real__mult__assoc_0,axiom,
% 12.19/12.27 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) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_class__semiring_Omul__a_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_mult__right_Oadd_0,axiom,
% 12.19/12.27 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_mult_Oadd__right_0,axiom,
% 12.19/12.27 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_mult__left_Oadd_0,axiom,
% 12.19/12.27 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_mult_Oadd__left_0,axiom,
% 12.19/12.27 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_class__semiring_Omul__d_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_frac__less_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | 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)
% 12.19/12.27 | ~ c_lessequals(V_w,V_z,T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 12.19/12.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 12.19/12.27 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.27 | ~ 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 12.19/12.27 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.27 | 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)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_abs__minus__commute_0,axiom,
% 12.19/12.27 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_minus__divide__right_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_minus__divide__left_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_divide__le__eq__number__of_6,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | ~ class_Int_Onumber(T_a)
% 12.19/12.27 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.27 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_divide__le__eq__number__of_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | ~ class_Int_Onumber(T_a)
% 12.19/12.27 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.27 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_one__le__inverse__iff_2,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
% 12.19/12.27 | ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_zero__le__mult__iff_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.27 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_zero__le__mult__iff_1,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.27 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_zero__le__mult__iff_2,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.27 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_zero__le__mult__iff_3,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.27 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_sin__le__one_0,axiom,
% 12.19/12.27 c_lessequals(c_Transcendental_Osin(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.27 | ~ 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_eq__divide__eq__number__of_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | ~ class_Int_Onumber(T_a)
% 12.19/12.27 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)
% 12.19/12.27 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a) = V_b
% 12.19/12.27 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_nonzero__inverse__eq__divide_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.27 | 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)
% 12.19/12.27 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_div__add__self1_0,axiom,
% 12.19/12.27 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.27 | 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)
% 12.19/12.27 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_div__add__self2_0,axiom,
% 12.19/12.27 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.27 | 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)
% 12.19/12.27 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_abs__one_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.27 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_diff__frac__eq_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.27 | 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)
% 12.19/12.27 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.27 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_zero__less__two_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_mult_Ominus__left_0,axiom,
% 12.19/12.27 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_mult__left_Ominus_0,axiom,
% 12.19/12.27 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_mult_Ominus__right_0,axiom,
% 12.19/12.27 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_mult__right_Ominus_0,axiom,
% 12.19/12.27 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_square__eq__iff_1,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oidom(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_minus__mult__minus_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oring(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_real__mult__inverse__left_0,axiom,
% 12.19/12.27 ( 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)
% 12.19/12.27 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_field__inverse_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.27 | 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)
% 12.19/12.27 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_left__inverse_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 12.19/12.27 | 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)
% 12.19/12.27 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_right__inverse_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 12.19/12.27 | 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)
% 12.19/12.27 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_mult__mono_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 12.19/12.27 | 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)
% 12.19/12.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.27 | ~ c_lessequals(V_c,V_d,T_a)
% 12.19/12.27 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_mult__mono_H_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 12.19/12.27 | 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)
% 12.19/12.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.27 | ~ c_lessequals(V_c,V_d,T_a)
% 12.19/12.27 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_div__mult__mult1_0,axiom,
% 12.19/12.27 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.27 | 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)
% 12.19/12.27 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_div__mult__mult2_0,axiom,
% 12.19/12.27 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.27 | 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)
% 12.19/12.27 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_sgn__sgn_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_norm__ge__zero_0,axiom,
% 12.19/12.27 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.27 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_eq__divide__eq__number__of_4,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | ~ class_Int_Onumber(T_a)
% 12.19/12.27 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.27 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_divide__less__eq_2,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_divide__less__eq_3,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_divide__less__eq_8,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_divide__less__eq_9,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_less__divide__eq_2,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_less__divide__eq_3,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_less__divide__eq_8,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_less__divide__eq_9,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_Re__complex__of__real_0,axiom,
% 12.19/12.27 c_Complex_ORe(c_RealVector_Oof__real(V_z,tc_Complex_Ocomplex)) = V_z ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.27 | ~ 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 12.19/12.27 | ~ 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.27 | ~ 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 12.19/12.27 | ~ 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_mod__minus__eq_0,axiom,
% 12.19/12.27 ( ~ class_Divides_Oring__div(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_root__def_2,axiom,
% 12.19/12.27 ( c_NthRoot_Oroot(V_n,V_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 12.19/12.27 | c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_complex__Re__i_0,axiom,
% 12.19/12.27 c_Complex_ORe(c_Complex_Oii) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_divide__neg__neg_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | 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)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_divide__pos__pos_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | 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)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_zero__less__divide__iff_4,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | 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)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_zero__less__divide__iff_5,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | 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)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_zero__le__pprt_0,axiom,
% 12.19/12.27 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.27 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a),T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_zero__less__dist__iff_1,axiom,
% 12.19/12.27 ( ~ class_RealVector_Ometric__space(T_a)
% 12.19/12.27 | 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)
% 12.19/12.27 | V_x = V_y ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_mod__add__self2_0,axiom,
% 12.19/12.27 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_mod__add__self1_0,axiom,
% 12.19/12.27 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_abs__less__iff_2,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_div__mult__mult1__if_0,axiom,
% 12.19/12.27 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.27 | 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) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_le__divide__eq__number__of1_3,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | ~ class_Int_Onumber(T_a)
% 12.19/12.27 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.27 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_le__divide__eq__number__of1_2,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | ~ class_Int_Onumber(T_a)
% 12.19/12.27 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.27 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_divide__le__eq__number__of1_3,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | ~ class_Int_Onumber(T_a)
% 12.19/12.27 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 12.19/12.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_divide__le__eq__number__of1_2,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | ~ class_Int_Onumber(T_a)
% 12.19/12.27 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.27 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_neg__le__0__iff__le_1,axiom,
% 12.19/12.27 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.27 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_neg__le__0__iff__le_0,axiom,
% 12.19/12.27 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.27 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.27 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_eq__divide__eq__number__of1_3,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | ~ class_Int_Onumber(T_a)
% 12.19/12.27 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.27 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_divide__eq__eq__number__of1_3,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | ~ class_Int_Onumber(T_a)
% 12.19/12.27 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = V_a
% 12.19/12.27 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_one__less__inverse__iff_0,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.27 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 12.19/12.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 12.19/12.27
% 12.19/12.27 cnf(cls_divide__le__eq__number__of_2,axiom,
% 12.19/12.27 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | ~ class_Int_Onumber(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_divide__le__eq__number__of_3,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | ~ class_Int_Onumber(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_divide__le__eq__number__of_9,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | ~ class_Int_Onumber(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 12.19/12.28 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_mult__left__idem_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_less__add__one_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_le__eq__neg_1,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.28 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_le__eq__neg_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_minus__mult__right_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oring(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_minus__mult__left_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oring(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_sgn__minus_0,axiom,
% 12.19/12.28 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_dist__not__less__zero_0,axiom,
% 12.19/12.28 ( ~ class_RealVector_Ometric__space(T_a)
% 12.19/12.28 | ~ 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_mult__frac__frac_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_abs__eq__mult_3,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_abs__eq__mult_2,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.28 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_abs__eq__mult_1,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_abs__eq__mult_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_abs__mult_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_add__le__cancel__right_1,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_add__le__cancel__right_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 12.19/12.28 | c_lessequals(V_a,V_b,T_a)
% 12.19/12.28 | ~ 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_add__le__cancel__left_1,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_add__le__cancel__left_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 12.19/12.28 | c_lessequals(V_a,V_b,T_a)
% 12.19/12.28 | ~ 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_add__right__mono_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_add__left__mono_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_scaleR__right_Odiff_0,axiom,
% 12.19/12.28 ( ~ class_RealVector_Oreal__vector(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_scaleR_Odiff__right_0,axiom,
% 12.19/12.28 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_abs__of__nonneg_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.28 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 12.19/12.28 | V_x = V_y ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 12.19/12.28 ( ~ class_Orderings_Olinorder(T_a)
% 12.19/12.28 | V_x = V_y
% 12.19/12.28 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_linorder__antisym__conv3_0,axiom,
% 12.19/12.28 ( ~ class_Orderings_Olinorder(T_a)
% 12.19/12.28 | V_x = V_y
% 12.19/12.28 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_linorder__less__linear_0,axiom,
% 12.19/12.28 ( ~ class_Orderings_Olinorder(T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 12.19/12.28 | V_x = V_y
% 12.19/12.28 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_order__antisym__conv_0,axiom,
% 12.19/12.28 ( ~ class_Orderings_Oorder(T_a)
% 12.19/12.28 | V_x = V_y
% 12.19/12.28 | ~ c_lessequals(V_x,V_y,T_a)
% 12.19/12.28 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_order__eq__iff_2,axiom,
% 12.19/12.28 ( ~ class_Orderings_Oorder(T_a)
% 12.19/12.28 | V_x = V_y
% 12.19/12.28 | ~ c_lessequals(V_y,V_x,T_a)
% 12.19/12.28 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_linorder__neqE_0,axiom,
% 12.19/12.28 ( ~ class_Orderings_Olinorder(T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 12.19/12.28 | V_x = V_y ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_order__antisym_0,axiom,
% 12.19/12.28 ( ~ class_Orderings_Oorder(T_a)
% 12.19/12.28 | V_x = V_y
% 12.19/12.28 | ~ c_lessequals(V_y,V_x,T_a)
% 12.19/12.28 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_real__le__antisym_0,axiom,
% 12.19/12.28 ( V_z = V_w
% 12.19/12.28 | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 12.19/12.28 | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_complex__i__not__number__of_0,axiom,
% 12.19/12.28 c_Complex_Oii != c_Int_Onumber__class_Onumber__of(V_w,tc_Complex_Ocomplex) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_compl__eq__compl__iff_0,axiom,
% 12.19/12.28 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 12.19/12.28 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 12.19/12.28 | V_x = V_y ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_neg__equal__iff__equal_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.28 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 12.19/12.28 | V_a = V_b ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_real__sqrt__not__eq__zero_0,axiom,
% 12.19/12.28 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_eq__divide__imp_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.28 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.28 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_divide__eq__imp_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.28 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.28 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_estimate__by__abs_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 12.19/12.28 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_eq__divide__eq_3,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)
% 12.19/12.28 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_divide__eq__eq_3,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a
% 12.19/12.28 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_complex__Re__number__of_0,axiom,
% 12.19/12.28 c_Complex_ORe(c_Int_Onumber__class_Onumber__of(V_v,tc_Complex_Ocomplex)) = c_Int_Onumber__class_Onumber__of(V_v,tc_RealDef_Oreal) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_divide__le__0__1__iff_1,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_divide__le__0__1__iff_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_divide__eq__eq__number__of_1,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | ~ class_Int_Onumber(T_a)
% 12.19/12.28 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) != c_Int_Onumber__class_Onumber__of(V_w,T_a)
% 12.19/12.28 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_divide__eq__eq__number__of_2,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | ~ class_Int_Onumber(T_a)
% 12.19/12.28 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.28 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_Int_Onumber__class_Onumber__of(V_w,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_abs__le__zero__iff_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.28 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_cos__monotone__0__pi_H_0,axiom,
% 12.19/12.28 ( c_lessequals(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal)
% 12.19/12.28 | ~ c_lessequals(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)
% 12.19/12.28 | ~ c_lessequals(V_y,V_x,tc_RealDef_Oreal)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_inverse__less__1__iff_1,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_dist__le__zero__iff_1,axiom,
% 12.19/12.28 ( ~ class_RealVector_Ometric__space(T_a)
% 12.19/12.28 | c_lessequals(c_RealVector_Odist__class_Odist(V_x,V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_div__mult__self2__is__id_0,axiom,
% 12.19/12.28 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.28 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_b,T_a) = V_a
% 12.19/12.28 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_div__mult__self1__is__id_0,axiom,
% 12.19/12.28 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.28 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),V_b,T_a) = V_a
% 12.19/12.28 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_add__nonpos__neg_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_add__neg__nonpos_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_neg__less__iff__less_1,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_neg__less__iff__less_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 12.19/12.28 | ~ 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_nonzero__inverse__scaleR__distrib_0,axiom,
% 12.19/12.28 ( ~ class_RealVector_Oreal__div__algebra(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.28 | V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_inverse__scaleR__distrib_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | ~ class_RealVector_Oreal__div__algebra(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_abs__div__pos_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_le__divide__eq_8,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_divide__le__eq_8,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 12.19/12.28 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.28 | ~ 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_sgn__if_1,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Osgn__if(T_a)
% 12.19/12.28 | c_HOL_Osgn__class_Osgn(V_x,T_a) = c_HOL_Oone__class_Oone(T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 12.19/12.28 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_real__sgn__def_1,axiom,
% 12.19/12.28 ( c_HOL_Osgn__class_Osgn(V_x,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 12.19/12.28 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_abs__less__iff_1,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_eq__divide__eq__number__of1_4,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | ~ class_Int_Onumber(T_a)
% 12.19/12.28 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_zero__less__mult__pos2_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.28 | ~ 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_zero__less__mult__pos_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.28 | ~ 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_mult__pos__pos_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_mult__neg__neg_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_real__mult__order_0,axiom,
% 12.19/12.28 ( 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)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_even__less__0__iff_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_even__less__0__iff_1,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_diff__divide__distrib_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_divide_Odiff_0,axiom,
% 12.19/12.28 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 12.19/12.28 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 12.19/12.28 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 12.19/12.28 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 12.19/12.28 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_of__real__1_0,axiom,
% 12.19/12.28 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 12.19/12.28 | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_real__sqrt__le__1__iff_1,axiom,
% 12.19/12.28 ( c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 12.19/12.28 | ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_real__sqrt__le__1__iff_0,axiom,
% 12.19/12.28 ( c_lessequals(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 12.19/12.28 | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_one__less__inverse__iff_1,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_inverse__add_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.28 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_division__ring__inverse__add_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.28 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_abs__sgn_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_group__add__class_Odiff__0_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_gt__half__sum_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_less__half__sum_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_cos__arctan__not__zero_0,axiom,
% 12.19/12.28 c_Transcendental_Ocos(c_Transcendental_Oarctan(V_x)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_add__frac__num_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_add__num__frac_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_Deriv_Oinverse__diff__inverse_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.28 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_diff__def_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_class__ring_Osub__add_0,axiom,
% 12.19/12.28 ( ~ class_Int_Onumber__ring(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_diff__minus_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_ab__diff__minus_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_inv__of__nat__fact__ge__zero_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(V_n,tc_nat),T_a),T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_nonzero__minus__divide__divide_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_Rational_Oordered__idom__class_Osgn__less_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_Rational_Oordered__idom__class_Osgn__less_1,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_divide__strict__right__mono_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_divide__strict__right__mono__neg_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_mod__diff__eq_0,axiom,
% 12.19/12.28 ( ~ class_Divides_Oring__div(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_divide__nonneg__pos_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_divide__nonpos__neg_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_mult__left__le__one__le_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a)
% 12.19/12.28 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_mult__right__le__one__le_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a)
% 12.19/12.28 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_powr__mono_0,axiom,
% 12.19/12.28 ( c_lessequals(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 12.19/12.28 | ~ c_lessequals(V_a,V_b,tc_RealDef_Oreal) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_divide__1_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.28 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_abs__leI_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 12.19/12.28 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_abs__le__iff_2,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 12.19/12.28 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_abs__minus__cancel_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oidom(T_a)
% 12.19/12.28 | ~ class_Int_Onumber__ring(T_a)
% 12.19/12.28 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 12.19/12.28 | V_y = V_z ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_add__imp__eq_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 12.19/12.28 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 12.19/12.28 | V_b = V_c ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_add__left__cancel_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 12.19/12.28 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 12.19/12.28 | V_b = V_c ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_add__right__cancel_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 12.19/12.28 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 12.19/12.28 | V_b = V_c ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_powr__gt__zero_0,axiom,
% 12.19/12.28 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(V_x,V_a),tc_RealDef_Oreal) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_not__square__less__zero_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.28 | ~ 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_mult__le__0__iff_4,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_mult__le__0__iff_5,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.28 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_split__mult__neg__le_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_split__mult__neg__le_1,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.28 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.28 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_inverse__mult__distrib_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_nonzero__inverse__mult__distrib_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.28 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_abs__le__zero__iff_1,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_add__nonneg__pos_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_add__pos__nonneg_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_cos__monotone__0__pi_0,axiom,
% 12.19/12.28 ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal)
% 12.19/12.28 | ~ c_lessequals(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(V_y,V_x,tc_RealDef_Oreal)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_nonzero__norm__inverse_0,axiom,
% 12.19/12.28 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 12.19/12.28 | 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)
% 12.19/12.28 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_divide__eq__eq__number__of_4,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | ~ class_Int_Onumber(T_a)
% 12.19/12.28 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.28 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a) = c_Int_Onumber__class_Onumber__of(V_w,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_fact__nonzero__nat_0,axiom,
% 12.19/12.28 c_Fact_Ofact__class_Ofact(V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_divide__less__eq__number__of_0,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | ~ class_Int_Onumber(T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_divide__less__eq__number__of_6,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | ~ class_Int_Onumber(T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_divide__le__eq__number__of1_8,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | ~ class_Int_Onumber(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 12.19/12.28 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_le__divide__eq__number__of1_8,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | ~ class_Int_Onumber(T_a)
% 12.19/12.28 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_norm__one_0,axiom,
% 12.19/12.28 ( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
% 12.19/12.28 | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_divide__le__eq_5,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_divide__le__eq_7,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_le__divide__eq_5,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_le__divide__eq_7,axiom,
% 12.19/12.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.28 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_cos__zero_0,axiom,
% 12.19/12.28 c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_real__sqrt__gt__0__iff_1,axiom,
% 12.19/12.28 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_real__sqrt__gt__0__iff_0,axiom,
% 12.19/12.28 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_real__sqrt__gt__zero_0,axiom,
% 12.19/12.28 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal)
% 12.19/12.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_dist__commute_0,axiom,
% 12.19/12.28 ( ~ class_RealVector_Ometric__space(T_a)
% 12.19/12.28 | c_RealVector_Odist__class_Odist(V_x,V_y,T_a) = c_RealVector_Odist__class_Odist(V_y,V_x,T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_neg__0__le__iff__le_0,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.28 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_neg__0__le__iff__le_1,axiom,
% 12.19/12.28 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 12.19/12.28 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_mult_OscaleR__left_0,axiom,
% 12.19/12.28 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_mult__left_OscaleR_0,axiom,
% 12.19/12.28 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_mult_OscaleR__right_0,axiom,
% 12.19/12.28 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_mult__right_OscaleR_0,axiom,
% 12.19/12.28 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.28 | 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) ) ).
% 12.19/12.28
% 12.19/12.28 cnf(cls_mult__scaleR__left_0,axiom,
% 12.19/12.29 ( ~ class_RealVector_Oreal__algebra(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mult__scaleR__right_0,axiom,
% 12.19/12.29 ( ~ class_RealVector_Oreal__algebra(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__eq__number__of1_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__eq__number__of1_4,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_less__divide__eq__number__of1_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_less__divide__eq__number__of1_4,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_nonzero__abs__inverse_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_nonzero__abs__divide_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_inverse__positive__imp__positive_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.29 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mod__diff__left__eq_0,axiom,
% 12.19/12.29 ( ~ class_Divides_Oring__div(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mod__diff__right__eq_0,axiom,
% 12.19/12.29 ( ~ class_Divides_Oring__div(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__eq__number__of1_2,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__eq__number__of1_3,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_less__divide__eq__number__of1_2,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_less__divide__eq__number__of1_3,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mult__exp__exp_0,axiom,
% 12.19/12.29 ( ~ class_SEQ_Obanach(T_a)
% 12.19/12.29 | ~ class_RealVector_Oreal__normed__field(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_add__cancel__21_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_sgn__if_2,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Osgn__if(T_a)
% 12.19/12.29 | c_HOL_Osgn__class_Osgn(V_x,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 12.19/12.29 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_real__sqrt__eq__zero__cancel_0,axiom,
% 12.19/12.29 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 12.19/12.29 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_le__zero__iff__pprt__id_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.29 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a) = V_a
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_le__zero__iff__pprt__id_1,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.29 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a) != V_a
% 12.19/12.29 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_inverse__less__imp__less_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.29 | ~ 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_less__imp__inverse__less_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_eq__divide__eq__number__of_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_eq__divide__eq__number__of_2,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.29 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_eq__divide__eq__number__of1_2,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.29 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_Rational_Oordered__idom__class_Osgn__greater_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_Rational_Oordered__idom__class_Osgn__greater_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_powr__mono2_0,axiom,
% 12.19/12.29 ( c_lessequals(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_y,V_a),tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_a,tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_abs__of__neg_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.29 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_abs__if_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 12.19/12.29 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_abs__if__lattice_0,axiom,
% 12.19/12.29 ( ~ class_Orderings_Olinorder(T_a)
% 12.19/12.29 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 12.19/12.29 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_square__eq__iff_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oidom(T_a)
% 12.19/12.29 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a)
% 12.19/12.29 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 12.19/12.29 | V_a = V_b ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mult__less__imp__less__right_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.29 | ~ 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mult__less__imp__less__left_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.29 | ~ 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mult__right__less__imp__less_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.29 | ~ 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mult__left__less__imp__less_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.29 | ~ 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mult__imp__le__div__pos_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | c_lessequals(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mult__imp__div__pos__le_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)
% 12.19/12.29 | ~ c_lessequals(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_le__divide__eq_6,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_le__divide__eq_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.29 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__le__eq_6,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.29 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__le__eq_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_le__divide__eq__number__of_8,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_real__sqrt__eq__1__iff_0,axiom,
% 12.19/12.29 ( c_NthRoot_Osqrt(V_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 12.19/12.29 | V_x = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mult__sgn__abs_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.29 | 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 ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_inverse__le__1__iff_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_norm__mult__ineq_0,axiom,
% 12.19/12.29 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_sum__squares__ge__zero_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_arctan__monotone_H_0,axiom,
% 12.19/12.29 ( c_lessequals(c_Transcendental_Oarctan(V_x),c_Transcendental_Oarctan(V_y),tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_right__diff__distrib__number__of_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oring(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_HOL_Ominus__class_Ominus(V_b,V_c,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_b,T_a),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_c,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_zero__le__divide__1__iff_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_zero__le__divide__1__iff_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.29 | ~ 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_zero__less__dist__iff_0,axiom,
% 12.19/12.29 ( ~ class_RealVector_Ometric__space(T_a)
% 12.19/12.29 | ~ 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_le__add__iff2_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | ~ 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_le__add__iff2_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | ~ 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_le__add__iff1_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | ~ 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_le__add__iff1_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | ~ 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__le__0__iff_5,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.29 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__le__0__iff_4,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_powr__powr__swap_0,axiom,
% 12.19/12.29 c_Log_Opowr(c_Log_Opowr(V_x,V_a),V_b) = c_Log_Opowr(c_Log_Opowr(V_x,V_b),V_a) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_add__increasing2_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 12.19/12.29 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 12.19/12.29 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(V_b,V_a,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_add__increasing_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 12.19/12.29 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 12.19/12.29 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(V_b,V_c,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_scaleR__minus__right_0,axiom,
% 12.19/12.29 ( ~ class_RealVector_Oreal__vector(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_scaleR_Ominus__right_0,axiom,
% 12.19/12.29 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_abs__minus__le__zero_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_of__real__eq__iff_0,axiom,
% 12.19/12.29 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 12.19/12.29 | c_RealVector_Oof__real(V_x,T_a) != c_RealVector_Oof__real(V_y,T_a)
% 12.19/12.29 | V_x = V_y ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_eq__add__iff2_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oring(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_neg__le__iff__le_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.29 | c_lessequals(V_a,V_b,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_le__imp__neg__le_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_abs__le__mult_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Olordered__ring(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_abs__le__D1_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.29 | c_lessequals(V_a,V_b,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mult__strict__mono_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_inverse__eq__divide_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_class__fieldgb_Oinverse__divide_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.29 | ~ class_Int_Onumber__ring(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_zmod__simps_I4_J_0,axiom,
% 12.19/12.29 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__eq__number__of_4,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__eq__number__of_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_less__divide__eq__number__of1_9,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__eq__number__of1_9,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__eq__number__of_8,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__left__mono__neg_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | ~ 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)
% 12.19/12.29 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__left__mono_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | ~ 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)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.29 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_exp__diff_0,axiom,
% 12.19/12.29 ( ~ class_SEQ_Obanach(T_a)
% 12.19/12.29 | ~ class_RealVector_Oreal__normed__field(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_norm__not__less__zero_0,axiom,
% 12.19/12.29 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.29 | ~ 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mult__1__right_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 12.19/12.29 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mult__1__left_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 12.19/12.29 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mult__1_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 12.19/12.29 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_class__semiring_Omul__1_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.29 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_real__mult__1_0,axiom,
% 12.19/12.29 c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) = V_z ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.29 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.29 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_arctan_2,axiom,
% 12.19/12.29 c_Transcendental_Otan(c_Transcendental_Oarctan(V_y)) = V_y ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_frac__less2_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_w,V_z,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 12.19/12.29 | ~ c_lessequals(V_x,V_y,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_nonzero__minus__divide__right_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_abs__number__of_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.29 | ~ class_Int_Onumber__ring(T_a)
% 12.19/12.29 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(V_x,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_x,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_neg__less__0__iff__less_1,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_neg__less__0__iff__less_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oidom(T_a)
% 12.19/12.29 | ~ class_Int_Onumber__ring(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oidom(T_a)
% 12.19/12.29 | ~ class_Int_Onumber__ring(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_abs__triangle__ineq3_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_abs__mult__less_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_less__divide__eq__number__of1_7,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__eq__number__of1_7,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_norm__inverse_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_diff__add__cancel_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.29 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_inverse__inverse__eq_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_less__divide__eq__number__of1_8,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__eq__number__of1_8,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_cnj_Ozero_0,axiom,
% 12.19/12.29 c_Complex_Ocnj(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_real__sqrt__lt__0__iff_0,axiom,
% 12.19/12.29 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_real__sqrt__lt__0__iff_1,axiom,
% 12.19/12.29 ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_inv__of__nat__fact__gt__zero_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(V_n,tc_nat),T_a),T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_class__semiring_Omul__c_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.29 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_real__mult__commute_0,axiom,
% 12.19/12.29 c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.29 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mod__add__eq_0,axiom,
% 12.19/12.29 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__le__eq__number__of_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__le__eq__number__of_4,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_xt1_I10_J_0,axiom,
% 12.19/12.29 ( ~ class_Orderings_Oorder(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_order__less__trans_0,axiom,
% 12.19/12.29 ( ~ class_Orderings_Opreorder(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_inverse__less__imp__less__neg_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_less__imp__inverse__less__neg_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_add__nonneg__nonneg_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_real__sqrt__le__iff_1,axiom,
% 12.19/12.29 ( c_lessequals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_real__sqrt__le__iff_0,axiom,
% 12.19/12.29 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_exp__zero_0,axiom,
% 12.19/12.29 ( ~ class_SEQ_Obanach(T_a)
% 12.19/12.29 | ~ class_RealVector_Oreal__normed__field(T_a)
% 12.19/12.29 | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide_OscaleR_0,axiom,
% 12.19/12.29 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_add__mono_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | ~ c_lessequals(V_c,V_d,T_a)
% 12.19/12.29 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_powr__less__cancel__iff_1,axiom,
% 12.19/12.29 ( c_HOL_Oord__class_Oless(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_powr__less__cancel__iff_0,axiom,
% 12.19/12.29 ( c_HOL_Oord__class_Oless(V_a,V_b,tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_powr__less__cancel_0,axiom,
% 12.19/12.29 ( c_HOL_Oord__class_Oless(V_a,V_b,tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_powr__less__mono_0,axiom,
% 12.19/12.29 ( c_HOL_Oord__class_Oless(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_inverse__nonnegative__iff__nonnegative_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_inverse__nonnegative__iff__nonnegative_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_powr__le__cancel__iff_1,axiom,
% 12.19/12.29 ( c_lessequals(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_lessequals(V_a,V_b,tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_powr__le__cancel__iff_0,axiom,
% 12.19/12.29 ( c_lessequals(V_a,V_b,tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_lessequals(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_cos__one__sin__zero_0,axiom,
% 12.19/12.29 ( c_Transcendental_Ocos(V_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 12.19/12.29 | c_Transcendental_Osin(V_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__0__1__iff_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__0__1__iff_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_DERIV__mult__lemma_0,axiom,
% 12.19/12.29 ( ~ class_RealVector_Oreal__field(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mod__mod__trivial_0,axiom,
% 12.19/12.29 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_div__self_0,axiom,
% 12.19/12.29 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.29 | c_Divides_Odiv__class_Odiv(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 12.19/12.29 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_left__diff__distrib__number__of_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oring(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_abs__diff__triangle__ineq_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_add__strict__increasing_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 12.19/12.29 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(V_b,V_c,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_powr__mult_0,axiom,
% 12.19/12.29 ( 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)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_powr__one__gt__zero__iff_1,axiom,
% 12.19/12.29 ( c_Log_Opowr(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = V_x
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_powr__one__gt__zero__iff_0,axiom,
% 12.19/12.29 ( c_Log_Opowr(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) != V_x
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_cos__arg__i__mult__zero__neg_0,axiom,
% 12.19/12.29 ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_cos__arg__i__mult__zero__pos_0,axiom,
% 12.19/12.29 ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_arctan__monotone_0,axiom,
% 12.19/12.29 ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(V_x),c_Transcendental_Oarctan(V_y),tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_le__minus__self__iff_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.29 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_le__minus__self__iff_1,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.29 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_minus__le__self__iff_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_minus__le__self__iff_1,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_less__eq__neg__nonpos_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 12.19/12.29 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_less__eq__neg__nonpos_1,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 12.19/12.29 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_neg__less__eq__nonneg_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_neg__less__eq__nonneg_1,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_eq__add__iff1_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oring(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_sgn__of__real_0,axiom,
% 12.19/12.29 ( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_of__real__number__of__eq_0,axiom,
% 12.19/12.29 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 12.19/12.29 | ~ class_Int_Onumber__ring(T_a)
% 12.19/12.29 | c_RealVector_Oof__real(c_Int_Onumber__class_Onumber__of(V_w,tc_RealDef_Oreal),T_a) = c_Int_Onumber__class_Onumber__of(V_w,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__le__eq__number__of_8,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 12.19/12.29 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_abs__idempotent_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_eq__add__iff1_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oring(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | 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 ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_eq__add__iff2_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oring(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_div__mod__equality_0,axiom,
% 12.19/12.29 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_div__mod__equality2_0,axiom,
% 12.19/12.29 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_zero__less__abs__iff_1,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)
% 12.19/12.29 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_norm__minus__cancel_0,axiom,
% 12.19/12.29 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__le__eq__number__of1_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__le__eq__number__of1_4,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_le__divide__eq__number__of1_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_le__divide__eq__number__of1_4,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_complex__cnj__cnj_0,axiom,
% 12.19/12.29 c_Complex_Ocnj(c_Complex_Ocnj(V_z)) = V_z ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_le__zero__iff__zero__pprt_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.29 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.29 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_le__zero__iff__zero__pprt_1,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.29 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.29 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__eq__number__of_5,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__eq__number__of_7,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__eq__number__of1_5,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_less__divide__eq__number__of1_5,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_scaleR_OscaleR__right_0,axiom,
% 12.19/12.29 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_scaleR__left__commute_0,axiom,
% 12.19/12.29 ( ~ class_RealVector_Oreal__vector(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_scaleR__right_OscaleR_0,axiom,
% 12.19/12.29 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__eq__number__of_2,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__eq__number__of_3,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__eq__number__of_9,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | ~ class_Int_Onumber(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_not__real__square__gt__zero_1,axiom,
% 12.19/12.29 ~ 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) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_complex__i__not__one_0,axiom,
% 12.19/12.29 c_Complex_Oii != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.29 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.29 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 12.19/12.29 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__le__0__iff_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__le__0__iff_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__le__0__iff_2,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__le__0__iff_3,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.29 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_inverse__le__imp__le_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | c_lessequals(V_b,V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_le__imp__inverse__le_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.29 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_inverse__le__imp__le__neg_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | c_lessequals(V_b,V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_le__imp__inverse__le__neg_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_real__mult__inverse__cancel_0,axiom,
% 12.19/12.29 ( 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)
% 12.19/12.29 | ~ 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)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1,tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_real__mult__inverse__cancel2_0,axiom,
% 12.19/12.29 ( 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)
% 12.19/12.29 | ~ 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)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1,tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mod__div__trivial_0,axiom,
% 12.19/12.29 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mod__minus__cong_0,axiom,
% 12.19/12.29 ( ~ class_Divides_Oring__div(T_a)
% 12.19/12.29 | c_Divides_Odiv__class_Omod(V_a,V_b,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_b,T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_norm__mult_0,axiom,
% 12.19/12.29 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mod__mult__eq_0,axiom,
% 12.19/12.29 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_powr__zero__eq__one_0,axiom,
% 12.19/12.29 c_Log_Opowr(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_div__mult__self1_0,axiom,
% 12.19/12.29 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_div__mult__self2_0,axiom,
% 12.19/12.29 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.29 | 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)
% 12.19/12.29 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_complex__Im__number__of_0,axiom,
% 12.19/12.29 c_Complex_OIm(c_Int_Onumber__class_Onumber__of(V_v,tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__eq_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__eq_4,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__eq_5,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__less__eq_7,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_less__divide__eq_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_less__divide__eq_4,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_less__divide__eq_5,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_less__divide__eq_7,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_add__cancel__21_1,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_scaleR__conv__of__real_0,axiom,
% 12.19/12.29 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_Re_Ozero_0,axiom,
% 12.19/12.29 c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_abs__triangle__ineq_0,axiom,
% 12.19/12.29 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_complex__cnj__number__of_0,axiom,
% 12.19/12.29 c_Complex_Ocnj(c_Int_Onumber__class_Onumber__of(V_w,tc_Complex_Ocomplex)) = c_Int_Onumber__class_Onumber__of(V_w,tc_Complex_Ocomplex) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_pi__not__less__zero_0,axiom,
% 12.19/12.29 ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_sin__ge__zero_0,axiom,
% 12.19/12.29 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(V_x),tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_lessequals(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_less__le__not__le_1,axiom,
% 12.19/12.29 ( ~ class_Orderings_Opreorder(T_a)
% 12.19/12.29 | ~ c_lessequals(V_y,V_x,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_not__leE_0,axiom,
% 12.19/12.29 ( ~ class_Orderings_Olinorder(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 12.19/12.29 | c_lessequals(V_y,V_x,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_linorder__antisym__conv2_1,axiom,
% 12.19/12.29 ( ~ class_Orderings_Olinorder(T_a)
% 12.19/12.29 | ~ c_lessequals(V_x,V_x,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_linorder__antisym__conv1_1,axiom,
% 12.19/12.29 ( ~ class_Orderings_Olinorder(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 12.19/12.29 | c_lessequals(V_x,V_x,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_linorder__not__less_1,axiom,
% 12.19/12.29 ( ~ class_Orderings_Olinorder(T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 12.19/12.29 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_linorder__not__less_0,axiom,
% 12.19/12.29 ( ~ class_Orderings_Olinorder(T_a)
% 12.19/12.29 | c_lessequals(V_y,V_x,T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_linorder__not__le_0,axiom,
% 12.19/12.29 ( ~ class_Orderings_Olinorder(T_a)
% 12.19/12.29 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 12.19/12.29 | c_lessequals(V_x,V_y,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_linorder__not__le_1,axiom,
% 12.19/12.29 ( ~ class_Orderings_Olinorder(T_a)
% 12.19/12.29 | ~ c_lessequals(V_x,V_y,T_a)
% 12.19/12.29 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_right__inverse__eq_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.29 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.29 | c_HOL_Oinverse__class_Odivide(V_x,V_x,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__self_0,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.29 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 12.19/12.29 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_divide__self__if_1,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 12.19/12.29 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mod__add__right__eq_0,axiom,
% 12.19/12.29 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_mod__add__left__eq_0,axiom,
% 12.19/12.29 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.29 | 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) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_zero__le__divide__iff_3,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_zero__le__divide__iff_2,axiom,
% 12.19/12.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.29 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.29 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 12.19/12.29
% 12.19/12.29 cnf(cls_zero__le__divide__iff_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_zero__le__divide__iff_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_add__strict__increasing2_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 12.19/12.30 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_sin__pi_0,axiom,
% 12.19/12.30 c_Transcendental_Osin(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_eq__eqI_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 12.19/12.30 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 12.19/12.30 | V_x_H = V_y_H ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_eq__eqI_1,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 12.19/12.30 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 12.19/12.30 | V_xa = V_y ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_right__distrib__number__of_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_b,T_a),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_c,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_inverse__le__1__iff_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a)
% 12.19/12.30 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__right__le__imp__le_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 12.19/12.30 | c_lessequals(V_a,V_b,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.30 | ~ 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__left__le__imp__le_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 12.19/12.30 | c_lessequals(V_a,V_b,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.30 | ~ 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_lessequals(V_a,V_b,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.30 | c_lessequals(V_a,V_b,T_a)
% 12.19/12.30 | ~ 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_lessequals(V_b,V_a,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.30 | c_lessequals(V_b,V_a,T_a)
% 12.19/12.30 | ~ 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__mult__le__cancel__iff2_1,axiom,
% 12.19/12.30 ( 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)
% 12.19/12.30 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__mult__le__cancel__iff2_0,axiom,
% 12.19/12.30 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 12.19/12.30 | ~ 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__mult__le__cancel__iff1_1,axiom,
% 12.19/12.30 ( 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)
% 12.19/12.30 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__mult__le__cancel__iff1_0,axiom,
% 12.19/12.30 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 12.19/12.30 | ~ 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_eq__number__of_0,axiom,
% 12.19/12.30 ( ~ class_Int_Oring__char__0(T_a)
% 12.19/12.30 | ~ class_Int_Onumber__ring(T_a)
% 12.19/12.30 | c_Int_Onumber__class_Onumber__of(V_x,T_a) != c_Int_Onumber__class_Onumber__of(V_y,T_a)
% 12.19/12.30 | V_x = V_y ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_minus__divide__divide_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide_Ominus_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult_Oprod__diff__prod_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__vector_Oscale__scale_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__vector(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__sqrt__gt__1__iff_0,axiom,
% 12.19/12.30 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__sqrt__gt__1__iff_1,axiom,
% 12.19/12.30 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_one__le__inverse__iff_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_combine__common__factor_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_Complex__eq__number__of_0,axiom,
% 12.19/12.30 ( c_Complex_Ocomplex_OComplex(V_a,V_b) != c_Int_Onumber__class_Onumber__of(V_w,tc_Complex_Ocomplex)
% 12.19/12.30 | V_a = c_Int_Onumber__class_Onumber__of(V_w,tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_eq__neg__iff__add__eq__0_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_ab__left__minus_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_right__minus_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_left__minus_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_add__neg__neg_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.30 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.30 | ~ 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.30 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.30 | ~ 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_complex__Im__i_0,axiom,
% 12.19/12.30 c_Complex_OIm(c_Complex_Oii) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__right_Odiff_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult_Odiff__right_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult_Odiff__left_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__left_Odiff_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_Deriv_Oadd__diff__add_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_sgn__one_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
% 12.19/12.30 | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__sqrt__mult_0,axiom,
% 12.19/12.30 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) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_inverse__nonpositive__iff__nonpositive_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_inverse__nonpositive__iff__nonpositive_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__sqrt__le__0__iff_0,axiom,
% 12.19/12.30 ( c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__sqrt__le__0__iff_1,axiom,
% 12.19/12.30 ( c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_inverse__eq__1__iff_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_HOL_Oinverse__class_Oinverse(V_x,T_a) != c_HOL_Oone__class_Oone(T_a)
% 12.19/12.30 | V_x = c_HOL_Oone__class_Oone(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_inverse__less__1__iff_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a)
% 12.19/12.30 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_powr__less__mono2_0,axiom,
% 12.19/12.30 ( c_HOL_Oord__class_Oless(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_y,V_a),tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_a,tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_powr__less__mono2__neg_0,axiom,
% 12.19/12.30 ( c_HOL_Oord__class_Oless(c_Log_Opowr(V_y,V_a),c_Log_Opowr(V_x,V_a),tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_less__divide__eq__number__of1_6,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_less__divide__eq__number__of1_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__less__eq__number__of1_6,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__less__eq__number__of1_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_abs__diff__less__iff_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a)
% 12.19/12.30 | ~ 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_abs__inverse_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_abs__divide_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_abs__of__pos_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.30 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_positive__imp__inverse__positive_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_inverse__positive__iff__positive_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_inverse__positive__iff__positive_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mod__mult__right__eq_0,axiom,
% 12.19/12.30 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mod__mult__left__eq_0,axiom,
% 12.19/12.30 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_scaleR__right_Oadd_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__vector(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_scaleR_Oadd__right_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__less__0__iff_3,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__less__0__iff_2,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__less__0__iff_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.30 | ~ 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_eq__divide__eq__number__of_3,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a)
% 12.19/12.30 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_inverse__le__1__iff_2,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_abs__ge__minus__self_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.30 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_less__divide__eq__number__of_5,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_less__divide__eq__number__of_7,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_abs__ge__self_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.30 | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_less__divide__eq__number__of_2,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_less__divide__eq__number__of_3,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_less__divide__eq__number__of_9,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_less__add__iff1_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_less__add__iff1_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_less__add__iff2_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_less__add__iff2_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__eq__eq__number__of1_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.30 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_eq__divide__eq__number__of1_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = V_b
% 12.19/12.30 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_eq__divide__eq_4,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mod__add__cong_0,axiom,
% 12.19/12.30 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.30 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 12.19/12.30 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_minus__unique_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.30 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.30 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_eq__neg__iff__add__eq__0_1,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.30 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.30 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_not__one__less__zero_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_abs__less__iff_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oidom(T_a)
% 12.19/12.30 | ~ class_Int_Onumber__ring(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | V_c = V_d
% 12.19/12.30 | V_a = V_b ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oidom(T_a)
% 12.19/12.30 | ~ class_Int_Onumber__ring(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | V_y = V_z
% 12.19/12.30 | V_w = V_x ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_abs__mult__self_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_nonzero__inverse__minus__eq_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_Im_Ozero_0,axiom,
% 12.19/12.30 c_Complex_OIm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_less__divide__eq__number__of_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_less__divide__eq__number__of_4,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mod__mult__cong_0,axiom,
% 12.19/12.30 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.30 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 12.19/12.30 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__eq__eq__number__of_3,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a) = c_Int_Onumber__class_Onumber__of(V_w,T_a)
% 12.19/12.30 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__sqrt__ge__1__iff_1,axiom,
% 12.19/12.30 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__sqrt__ge__1__iff_0,axiom,
% 12.19/12.30 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__sqrt__ge__one_0,axiom,
% 12.19/12.30 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_less__divide__eq__number__of_8,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_le__divide__eq__number__of_4,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_le__divide__eq__number__of_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.30 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_add__frac__eq_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.30 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__eq__eq_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a)
% 12.19/12.30 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_eq__divide__eq_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b
% 12.19/12.30 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_zero__le__one_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 12.19/12.30 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_powr__powr_0,axiom,
% 12.19/12.30 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)) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_complex__cnj__one_0,axiom,
% 12.19/12.30 c_Complex_Ocnj(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_Bseq__inverse__lemma_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_r,tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_lessequals(V_r,c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__sqrt__lt__1__iff_1,axiom,
% 12.19/12.30 ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__sqrt__lt__1__iff_0,axiom,
% 12.19/12.30 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_left__distrib__number__of_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mod__by__1_0,axiom,
% 12.19/12.30 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.30 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_abs__mult__pos_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_one__le__inverse__iff_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_linorder__neq__iff_1,axiom,
% 12.19/12.30 ( ~ class_Orderings_Olinorder(T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_order__less__le_1,axiom,
% 12.19/12.30 ( ~ class_Orderings_Oorder(T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__less__def_1,axiom,
% 12.19/12.30 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_order__less__irrefl_0,axiom,
% 12.19/12.30 ( ~ class_Orderings_Opreorder(T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_less__le__not__le_2,axiom,
% 12.19/12.30 ( ~ class_Orderings_Opreorder(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 12.19/12.30 | c_lessequals(V_y,V_x,T_a)
% 12.19/12.30 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_abs__number__of_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.30 | ~ class_Int_Onumber__ring(T_a)
% 12.19/12.30 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(V_x,T_a),T_a) = c_Int_Onumber__class_Onumber__of(V_x,T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_x,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_sin__gt__zero__pi_0,axiom,
% 12.19/12.30 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(V_x),tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_add__pos__pos_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_Complex__eq__i_1,axiom,
% 12.19/12.30 ( c_Complex_Ocomplex_OComplex(V_x,V_y) != c_Complex_Oii
% 12.19/12.30 | V_y = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_not__one__le__zero_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_inverse__negative__iff__negative_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_inverse__negative__iff__negative_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_negative__imp__inverse__negative_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mod__diff__cong_0,axiom,
% 12.19/12.30 ( ~ class_Divides_Oring__div(T_a)
% 12.19/12.30 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 12.19/12.30 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_le__iff__diff__le__0_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.30 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_le__iff__diff__le__0_1,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.30 | c_lessequals(V_a,V_b,T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_add__strict__mono_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_order__le__less_1,axiom,
% 12.19/12.30 ( ~ class_Orderings_Oorder(T_a)
% 12.19/12.30 | c_lessequals(V_x,V_y,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__less__def_0,axiom,
% 12.19/12.30 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_order__less__imp__le_0,axiom,
% 12.19/12.30 ( ~ class_Orderings_Opreorder(T_a)
% 12.19/12.30 | c_lessequals(V_x,V_y,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_add__cancel__end_1,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 12.19/12.30 | 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 ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_minus__add__cancel_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.30 | 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 ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__inverse__gt__one_0,axiom,
% 12.19/12.30 ( 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_inverse__eq__1__iff_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_one__less__inverse__iff_2,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_inverse__1_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 12.19/12.30 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_complex__equality_0,axiom,
% 12.19/12.30 ( c_Complex_OIm(V_x) != c_Complex_OIm(V_y)
% 12.19/12.30 | c_Complex_ORe(V_x) != c_Complex_ORe(V_y)
% 12.19/12.30 | V_x = V_y ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_zero__le__divide__iff_4,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_zero__le__divide__iff_5,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_nonzero__of__real__inverse_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__div__algebra(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_frac__le_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_lessequals(V_w,V_z,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 12.19/12.30 | ~ c_lessequals(V_x,V_y,T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_less__iff__diff__less__0_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_less__iff__diff__less__0_1,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 12.19/12.30 | ~ 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_abs__not__less__zero_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_complex__Re__cnj_0,axiom,
% 12.19/12.30 c_Complex_ORe(c_Complex_Ocnj(V_x)) = c_Complex_ORe(V_x) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__eq__eq__number__of1_4,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_zero__less__one_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__strict__left__mono_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__strict__left__mono__neg_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_powr__ge__pzero_0,axiom,
% 12.19/12.30 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(V_x,V_y),tc_RealDef_Oreal) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_complex__surj_0,axiom,
% 12.19/12.30 c_Complex_Ocomplex_OComplex(c_Complex_ORe(V_z),c_Complex_OIm(V_z)) = V_z ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__le__less__imp__less_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 12.19/12.30 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__less__le__imp__less_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.30 | ~ c_lessequals(V_c,V_d,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_complex__cnj__zero__iff_0,axiom,
% 12.19/12.30 ( c_Complex_Ocnj(V_z) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 12.19/12.30 | V_z = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_le__number__of__eq__not__less_0,axiom,
% 12.19/12.30 ( ~ class_Orderings_Olinorder(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_le__number__of__eq__not__less_1,axiom,
% 12.19/12.30 ( ~ class_Orderings_Olinorder(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_complex__cnj__cancel__iff_0,axiom,
% 12.19/12.30 ( c_Complex_Ocnj(V_x) != c_Complex_Ocnj(V_y)
% 12.19/12.30 | V_x = V_y ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__eq__eq__number__of1_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.30 | c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__less__0__iff_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.30 | ~ 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_add__cancel__end_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 12.19/12.30 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y
% 12.19/12.30 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__divide__mult__cancel__right_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__divide__mult__cancel__left_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_Im__complex__of__real_0,axiom,
% 12.19/12.30 c_Complex_OIm(c_RealVector_Oof__real(V_z,tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_le__divide__eq__number__of1_6,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_le__divide__eq__number__of1_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__le__eq__number__of1_6,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__le__eq__number__of1_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_exp__add_0,axiom,
% 12.19/12.30 ( ~ class_SEQ_Obanach(T_a)
% 12.19/12.30 | ~ class_RealVector_Oreal__normed__field(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__sqrt__less__iff_0,axiom,
% 12.19/12.30 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__sqrt__less__iff_1,axiom,
% 12.19/12.30 ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__frac__num_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__mult__is__one_1,axiom,
% 12.19/12.30 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) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_dist__le__zero__iff_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Ometric__space(T_a)
% 12.19/12.30 | V_x = V_y
% 12.19/12.30 | ~ c_lessequals(c_RealVector_Odist__class_Odist(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_abs__of__nonpos_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.30 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 12.19/12.30 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__strict__right__mono_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__strict__left__mono_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 12.19/12.30 | ~ 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 12.19/12.30 | ~ 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__mult__less__mono2_0,axiom,
% 12.19/12.30 ( 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__mult__less__iff1_1,axiom,
% 12.19/12.30 ( 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__mult__less__iff1_0,axiom,
% 12.19/12.30 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 12.19/12.30 | ~ 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_norm__minus__commute_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_diff__minus__eq__add_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mod__mult__self2_0,axiom,
% 12.19/12.30 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mod__mult__self1_0,axiom,
% 12.19/12.30 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_le__divide__eq_9,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_le__divide__eq_3,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_le__divide__eq_2,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.30 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__le__eq_9,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 12.19/12.30 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__le__eq_3,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__le__eq_2,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_add__diff__cancel_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.30 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_add__divide__distrib_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide_Oadd_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_abs__diff__less__iff_2,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_less__1__mult_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_minus__equation__iff_1,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.30 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_equation__minus__iff_1,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.30 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_equation__minus__iff_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.30 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_double__compl_0,axiom,
% 12.19/12.30 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 12.19/12.30 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_minus__minus_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.30 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_div__by__1_0,axiom,
% 12.19/12.30 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.30 | c_Divides_Odiv__class_Odiv(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_minus__diff__eq_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_add__less__le__mono_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_lessequals(V_c,V_d,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_add__le__less__mono_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 12.19/12.30 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_minus__less__iff_1,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_minus__less__iff_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_less__minus__iff_1,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_less__minus__iff_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_minus__le__iff_1,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.30 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_minus__le__iff_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.30 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_le__minus__iff_1,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.30 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_le__minus__iff_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.30 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_eq__divide__eq_2,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_scaleR__cancel__right_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__vector(T_a)
% 12.19/12.30 | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a)
% 12.19/12.30 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.30 | V_a = V_b ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_scaleR__cancel__right_1,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__vector(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_abs__eq__0_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.30 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.30 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_neg__equal__zero_1,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 12.19/12.30 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_minus__zero_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.30 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_inverse__zero__imp__zero_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 12.19/12.30 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.30 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_inverse__nonzero__iff__nonzero_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.30 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_neg__0__equal__iff__equal_1,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.30 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_sgn__0__0_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.30 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_sgn0_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Osgn__if(T_a)
% 12.19/12.30 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_sgn__zero_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.30 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__eq__0__iff_2,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 12.19/12.30 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__eq__0__iff_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 12.19/12.30 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__zero__right_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 12.19/12.30 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__zero__left_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 12.19/12.30 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_class__semiring_Omul__0_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.30 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__right_Ozero_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.30 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult_Ozero__right_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.30 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult_Ozero__left_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.30 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__left_Ozero_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 12.19/12.30 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.30 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.30 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mod__self_0,axiom,
% 12.19/12.30 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.30 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mod__by__0_0,axiom,
% 12.19/12.30 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.30 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_zero__neq__one_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 12.19/12.30 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_nonzero__inverse__inverse__eq_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 12.19/12.30 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a
% 12.19/12.30 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__self__if_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_neg__equal__zero_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 12.19/12.30 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a
% 12.19/12.30 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_inverse__zero_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_inverse__nonzero__iff__nonzero_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_nonzero__inverse__eq__imp__eq_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 12.19/12.30 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 12.19/12.30 | V_a = V_b
% 12.19/12.30 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.30 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_neg__equal__0__iff__equal_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.30 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.30 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_one__neq__zero_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 12.19/12.30 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_mult__eq__0__iff_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 12.19/12.30 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.30 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.30 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_no__zero__divisors_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 12.19/12.30 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.30 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.30 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_sgn__neg_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.30 | c_HOL_Osgn__class_Osgn(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_sgn__1__neg_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.30 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_minus__mult__commute_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oring(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_abs__triangle__ineq4_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_sgn__scaleR_0,axiom,
% 12.19/12.30 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__eq__eq__number__of_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a) != c_Int_Onumber__class_Onumber__of(V_w,T_a)
% 12.19/12.30 | V_b = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a)
% 12.19/12.30 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_real__sqrt__one_0,axiom,
% 12.19/12.30 c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__inverse_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_class__fieldgb_Odivide__inverse_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | ~ class_Int_Onumber__ring(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_complex__i__not__zero_0,axiom,
% 12.19/12.30 c_Complex_Oii != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_complex__cnj__complex__of__real_0,axiom,
% 12.19/12.30 c_Complex_Ocnj(c_RealVector_Oof__real(V_x,tc_Complex_Ocomplex)) = c_RealVector_Oof__real(V_x,tc_Complex_Ocomplex) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_zero__less__divide__1__iff_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.30 | ~ 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_zero__less__divide__1__iff_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | 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)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_tan__pi_0,axiom,
% 12.19/12.30 c_Transcendental_Otan(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_inverse__eq__divide__number__of_0,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.30 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.30 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_abs__if__lattice_1,axiom,
% 12.19/12.30 ( ~ class_Orderings_Olinorder(T_a)
% 12.19/12.30 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 12.19/12.30 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_abs__if_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 12.19/12.30 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_le__divide__eq__number__of_9,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_le__divide__eq__number__of_3,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_le__divide__eq__number__of_2,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.30 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_Lim_Ominus__diff__minus_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_abs__add__abs_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.30 | 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) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__le__eq_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__le__eq_4,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_le__divide__eq_1,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.30 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_le__divide__eq_4,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 12.19/12.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_divide__le__eq__number__of1_5,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.30 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_le__divide__eq__number__of1_5,axiom,
% 12.19/12.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.30 | ~ class_Int_Onumber(T_a)
% 12.19/12.30 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.30 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 12.19/12.30
% 12.19/12.30 cnf(cls_zero__less__abs__iff_0,axiom,
% 12.19/12.30 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.30 | ~ 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) ) ).
% 12.19/12.30
% 12.19/12.31 cnf(cls_pi__ge__zero_0,axiom,
% 12.19/12.31 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_divide__neg__pos_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.31 | 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)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_divide__pos__neg_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.31 | 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)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_divide__less__0__iff_4,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.31 | 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)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_divide__less__0__iff_5,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.31 | 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)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_add__less__cancel__left_0,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 12.19/12.31 | ~ 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_add__less__cancel__left_1,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 12.19/12.31 | 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)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_add__strict__left__mono_0,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 12.19/12.31 | 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)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_add__less__cancel__right_0,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 12.19/12.31 | ~ 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_add__less__cancel__right_1,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 12.19/12.31 | 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)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_add__strict__right__mono_0,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 12.19/12.31 | 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)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_order__eq__refl_0,axiom,
% 12.19/12.31 ( ~ class_Orderings_Opreorder(T_a)
% 12.19/12.31 | c_lessequals(V_x,V_x,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_order__eq__iff_0,axiom,
% 12.19/12.31 ( ~ class_Orderings_Oorder(T_a)
% 12.19/12.31 | c_lessequals(V_x,V_x,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_real__le__trans_0,axiom,
% 12.19/12.31 ( c_lessequals(V_i,V_k,tc_RealDef_Oreal)
% 12.19/12.31 | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal)
% 12.19/12.31 | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_real__le__refl_0,axiom,
% 12.19/12.31 c_lessequals(V_w,V_w,tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_order__le__less__trans_0,axiom,
% 12.19/12.31 ( ~ class_Orderings_Opreorder(T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 12.19/12.31 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_order__less__le__trans_0,axiom,
% 12.19/12.31 ( ~ class_Orderings_Opreorder(T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 12.19/12.31 | ~ c_lessequals(V_y,V_z,T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_le__add__right__mono_0,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.31 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 12.19/12.31 | ~ c_lessequals(V_c,V_d,T_a)
% 12.19/12.31 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_order__trans_0,axiom,
% 12.19/12.31 ( ~ class_Orderings_Opreorder(T_a)
% 12.19/12.31 | c_lessequals(V_x,V_z,T_a)
% 12.19/12.31 | ~ c_lessequals(V_y,V_z,T_a)
% 12.19/12.31 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_add__nonpos__nonpos_0,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 12.19/12.31 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.31 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.31 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_xt1_I8_J_0,axiom,
% 12.19/12.31 ( ~ class_Orderings_Oorder(T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 12.19/12.31 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_xt1_I7_J_0,axiom,
% 12.19/12.31 ( ~ class_Orderings_Oorder(T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 12.19/12.31 | ~ c_lessequals(V_z,V_y,T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_xt1_I6_J_0,axiom,
% 12.19/12.31 ( ~ class_Orderings_Oorder(T_a)
% 12.19/12.31 | c_lessequals(V_z,V_x,T_a)
% 12.19/12.31 | ~ c_lessequals(V_z,V_y,T_a)
% 12.19/12.31 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_inverse__less__1__iff_2,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_divide__le__eq__number__of_7,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.31 | ~ class_Int_Onumber(T_a)
% 12.19/12.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.31 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.31 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_divide__le__eq__number__of_5,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.31 | ~ class_Int_Onumber(T_a)
% 12.19/12.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.31 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 12.19/12.31 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_mod__mult__self1__is__0_0,axiom,
% 12.19/12.31 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.31 | 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_mod__mult__self2__is__0_0,axiom,
% 12.19/12.31 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.31 | 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_exp__minus_0,axiom,
% 12.19/12.31 ( ~ class_SEQ_Obanach(T_a)
% 12.19/12.31 | ~ class_RealVector_Oreal__normed__field(T_a)
% 12.19/12.31 | 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_divide__le__eq__number__of1_9,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.31 | ~ class_Int_Onumber(T_a)
% 12.19/12.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 12.19/12.31 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 12.19/12.31 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 12.19/12.31 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_le__divide__eq__number__of1_9,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 12.19/12.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.31 | ~ class_Int_Onumber(T_a)
% 12.19/12.31 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.31 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.31 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 12.19/12.31 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_division__ring__inverse__diff_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 12.19/12.31 | 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)
% 12.19/12.31 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.31 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_powr__one__eq__one_0,axiom,
% 12.19/12.31 c_Log_Opowr(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_a) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_semiring__div__class_Omod__div__equality_H_0,axiom,
% 12.19/12.31 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.31 | 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 ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_norm__ratiotest__lemma_0,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.31 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.31 | ~ 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)
% 12.19/12.31 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.31 | 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.31 | ~ 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 12.19/12.31 | ~ 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 12.19/12.31 | ~ 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 12.19/12.31 | ~ 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_abs__diff__less__iff_1,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)
% 12.19/12.31 | ~ 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_not__real__square__gt__zero_0,axiom,
% 12.19/12.31 ( V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 12.19/12.31 | 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_neg__0__less__iff__less_0,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_neg__0__less__iff__less_1,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_pi__gt__zero_0,axiom,
% 12.19/12.31 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_frac__eq__eq_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.31 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) != c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a)
% 12.19/12.31 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.31 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.31 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) = c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_frac__eq__eq_1,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.31 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) != c_HOL_Otimes__class_Otimes(V_w,V_y,T_a)
% 12.19/12.31 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.31 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.31 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_sgn__mult_0,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 12.19/12.31 | 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_sgn__times_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.31 | 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_dist__norm_0,axiom,
% 12.19/12.31 ( ~ class_RealVector_Odist__norm(T_a)
% 12.19/12.31 | 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_mod__mult__mult1_0,axiom,
% 12.19/12.31 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.31 | 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_mod__mult__mult2_0,axiom,
% 12.19/12.31 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.31 | 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_less__minus__self__iff_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_less__minus__self__iff_1,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_abs__ge__zero_0,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.31 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_divide__eq__eq_4,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.31 | 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_real__sgn__pos_0,axiom,
% 12.19/12.31 ( c_HOL_Osgn__class_Osgn(V_x,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_sgn__pos_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.31 | c_HOL_Osgn__class_Osgn(V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_sgn__1__pos_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.31 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Oone__class_Oone(T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_complex__Im__one_0,axiom,
% 12.19/12.31 c_Complex_OIm(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_real__sqrt__inverse_0,axiom,
% 12.19/12.31 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) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_minus__add_0,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.31 | 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_minus__add__distrib_0,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 12.19/12.31 | 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_order__less__asym_H_0,axiom,
% 12.19/12.31 ( ~ class_Orderings_Opreorder(T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_order__less__asym_0,axiom,
% 12.19/12.31 ( ~ class_Orderings_Opreorder(T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_linorder__linear_0,axiom,
% 12.19/12.31 ( ~ class_Orderings_Olinorder(T_a)
% 12.19/12.31 | c_lessequals(V_y,V_x,T_a)
% 12.19/12.31 | c_lessequals(V_x,V_y,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_real__le__linear_0,axiom,
% 12.19/12.31 ( c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 12.19/12.31 | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 12.19/12.31 ( ~ class_Orderings_Olinorder(T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_xt1_I9_J_0,axiom,
% 12.19/12.31 ( ~ class_Orderings_Oorder(T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 12.19/12.31 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.31 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.31 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_div__by__0_0,axiom,
% 12.19/12.31 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.31 | c_Divides_Odiv__class_Odiv(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_div__0_0,axiom,
% 12.19/12.31 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.31 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_double__eq__0__iff_0,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.31 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.31 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 12.19/12.31 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_right__minus__eq_1,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.31 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_diff__0__right_0,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.31 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_diff__self_0,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.31 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oidom(T_a)
% 12.19/12.31 | ~ class_Int_Onumber__ring(T_a)
% 12.19/12.31 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oidom(T_a)
% 12.19/12.31 | ~ class_Int_Onumber__ring(T_a)
% 12.19/12.31 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 12.19/12.31 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_pprt__0_0,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.31 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_mod__0_0,axiom,
% 12.19/12.31 ( ~ class_Divides_Osemiring__div(T_a)
% 12.19/12.31 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_double__eq__0__iff_1,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 12.19/12.31 | 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_abs__eq__0_1,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 12.19/12.31 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_neg__0__equal__iff__equal_0,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.31 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 12.19/12.31 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_scaleR_Ozero__right_0,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.31 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_scaleR__eq__0__iff_2,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__vector(T_a)
% 12.19/12.31 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 12.19/12.31 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.31 | V_a = V_b ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_right__minus__eq_0,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 12.19/12.31 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.31 | V_a = V_b ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oidom(T_a)
% 12.19/12.31 | ~ class_Int_Onumber__ring(T_a)
% 12.19/12.31 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.31 | V_x = V_y ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_divide__zero__left_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.31 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_divide__eq__eq_1,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.31 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_divide__zero_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 12.19/12.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 12.19/12.31 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_divide_Ozero_0,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 12.19/12.31 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_sgn__0__0_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.31 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.31 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_sgn__zero__iff_0,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.31 | c_HOL_Osgn__class_Osgn(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.31 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_exp__not__eq__zero_0,axiom,
% 12.19/12.31 ( ~ class_SEQ_Obanach(T_a)
% 12.19/12.31 | ~ class_RealVector_Oreal__normed__field(T_a)
% 12.19/12.31 | c_Transcendental_Oexp(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 12.19/12.31 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_add__0__left_0,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 12.19/12.31 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 12.19/12.31 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oidom(T_a)
% 12.19/12.31 | ~ class_Int_Onumber__ring(T_a)
% 12.19/12.31 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.31 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 12.19/12.31 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 12.19/12.31 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.31 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 12.19/12.31 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_norm__sgn_0,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.31 | 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_zero__less__norm__iff_1,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.31 | 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)
% 12.19/12.31 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_zero__less__norm__iff_0,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.31 | ~ 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_norm__le__zero__iff_1,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.31 | 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_norm__le__zero__iff_0,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.31 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.31 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_of__nat__fact__gt__zero_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 12.19/12.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(V_n,tc_nat),T_a),T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_of__nat__fact__ge__zero_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 12.19/12.31 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(V_n,tc_nat),T_a),T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_scaleR__cancel__left_0,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__vector(T_a)
% 12.19/12.31 | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a)
% 12.19/12.31 | V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 12.19/12.31 | V_x = V_y ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_scaleR__cancel__left_1,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__vector(T_a)
% 12.19/12.31 | 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) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_real__sgn__def_0,axiom,
% 12.19/12.31 c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_powr__not__zero_0,axiom,
% 12.19/12.31 c_Log_Opowr(V_x,V_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_real__mult__right__cancel_0,axiom,
% 12.19/12.31 ( c_HOL_Otimes__class_Otimes(V_a,V_c,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_b,V_c,tc_RealDef_Oreal)
% 12.19/12.31 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 12.19/12.31 | V_a = V_b ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_real__mult__left__cancel_0,axiom,
% 12.19/12.31 ( c_HOL_Otimes__class_Otimes(V_c,V_a,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_c,V_b,tc_RealDef_Oreal)
% 12.19/12.31 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 12.19/12.31 | V_a = V_b ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_tan__zero_0,axiom,
% 12.19/12.31 c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_real__sqrt__eq__0__iff_0,axiom,
% 12.19/12.31 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 12.19/12.31 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_pi__neq__zero_0,axiom,
% 12.19/12.31 c_Transcendental_Opi != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_real__zero__not__eq__one_0,axiom,
% 12.19/12.31 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_real__sqrt__zero_0,axiom,
% 12.19/12.31 c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_sin__zero_0,axiom,
% 12.19/12.31 c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_INVERSE__ZERO_0,axiom,
% 12.19/12.31 c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_arctan__zero__zero_0,axiom,
% 12.19/12.31 c_Transcendental_Oarctan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_real__root__zero_0,axiom,
% 12.19/12.31 c_NthRoot_Oroot(V_n,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_dist__self_0,axiom,
% 12.19/12.31 ( ~ class_RealVector_Ometric__space(T_a)
% 12.19/12.31 | c_RealVector_Odist__class_Odist(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_dist__eq__0__iff_0,axiom,
% 12.19/12.31 ( ~ class_RealVector_Ometric__space(T_a)
% 12.19/12.31 | c_RealVector_Odist__class_Odist(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 12.19/12.31 | V_x = V_y ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_abs__of__nat_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 12.19/12.31 | c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) = c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_Complex__eq__1_2,axiom,
% 12.19/12.31 c_Complex_Ocomplex_OComplex(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_i__def_0,axiom,
% 12.19/12.31 c_Complex_Oii = c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_Complex__eq__i_2,axiom,
% 12.19/12.31 c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_Complex_Oii ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_cos__arg__i__mult__zero_0,axiom,
% 12.19/12.31 ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 12.19/12.31 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_Complex__eq__number__of_2,axiom,
% 12.19/12.31 c_Complex_Ocomplex_OComplex(c_Int_Onumber__class_Onumber__of(V_w,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Int_Onumber__class_Onumber__of(V_w,tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_complex__one__def_0,axiom,
% 12.19/12.31 c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_Re_0,axiom,
% 12.19/12.31 c_Complex_ORe(c_Complex_Ocomplex_OComplex(V_x,V_y)) = V_x ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_Im_0,axiom,
% 12.19/12.31 c_Complex_OIm(c_Complex_Ocomplex_OComplex(V_x,V_y)) = V_y ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_complex__eq__cancel__iff2_0,axiom,
% 12.19/12.31 ( c_Complex_Ocomplex_OComplex(V_x,V_y) != c_RealVector_Oof__real(V_xa,tc_Complex_Ocomplex)
% 12.19/12.31 | V_x = V_xa ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_complex__cnj__of__nat_0,axiom,
% 12.19/12.31 c_Complex_Ocnj(c_Nat_Osemiring__1__class_Oof__nat(V_n,tc_Complex_Ocomplex)) = c_Nat_Osemiring__1__class_Oof__nat(V_n,tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_norm__zero_0,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.31 | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_scaleR__eq__0__iff_0,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__vector(T_a)
% 12.19/12.31 | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.31 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.31 | V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_of__real__eq__0__iff_0,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 12.19/12.31 | c_RealVector_Oof__real(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 12.19/12.31 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_of__real__0_0,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 12.19/12.31 | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_of__real_Ozero_0,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.31 | ~ class_RealVector_Oreal__algebra__1(T_a)
% 12.19/12.31 | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_norm__eq__zero_0,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.31 | c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 12.19/12.31 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_scaleR_Ozero__left_0,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 12.19/12.31 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_scaleR__eq__0__iff_1,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__vector(T_a)
% 12.19/12.31 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_of__nat__0_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 12.19/12.31 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_of__nat__less__0__iff_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 12.19/12.31 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_of__nat__fact__not__zero_0,axiom,
% 12.19/12.31 ( ~ class_Nat_Osemiring__char__0(T_a)
% 12.19/12.31 | c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(V_n,tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_zero__le__imp__of__nat_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 12.19/12.31 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_of__nat__0__le__iff_0,axiom,
% 12.19/12.31 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 12.19/12.31 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_Complex__eq__0_0,axiom,
% 12.19/12.31 ( c_Complex_Ocomplex_OComplex(V_a,V_b) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 12.19/12.31 | V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_Complex__eq__0_1,axiom,
% 12.19/12.31 ( c_Complex_Ocomplex_OComplex(V_a,V_b) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 12.19/12.31 | V_b = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_complex__zero__def_0,axiom,
% 12.19/12.31 c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_complex__eq__cancel__iff2_2,axiom,
% 12.19/12.31 c_Complex_Ocomplex_OComplex(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_RealVector_Oof__real(V_x,tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_Complex__eq__0_2,axiom,
% 12.19/12.31 c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_Complex__eq__i_0,axiom,
% 12.19/12.31 ( c_Complex_Ocomplex_OComplex(V_x,V_y) != c_Complex_Oii
% 12.19/12.31 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_complex__eq__cancel__iff2_1,axiom,
% 12.19/12.31 ( c_Complex_Ocomplex_OComplex(V_x,V_y) != c_RealVector_Oof__real(V_xa,tc_Complex_Ocomplex)
% 12.19/12.31 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_Complex__eq__1_1,axiom,
% 12.19/12.31 ( c_Complex_Ocomplex_OComplex(V_a,V_b) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
% 12.19/12.31 | V_b = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_complex__of__real__def_0,axiom,
% 12.19/12.31 c_RealVector_Oof__real(V_r,tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(V_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_Complex__eq__number__of_1,axiom,
% 12.19/12.31 ( c_Complex_Ocomplex_OComplex(V_a,V_b) != c_Int_Onumber__class_Onumber__of(V_w,tc_Complex_Ocomplex)
% 12.19/12.31 | V_b = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_of__real__of__nat__eq_0,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 12.19/12.31 | c_RealVector_Oof__real(c_Nat_Osemiring__1__class_Oof__nat(V_n,tc_RealDef_Oreal),T_a) = c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_norm__of__nat_0,axiom,
% 12.19/12.31 ( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
% 12.19/12.31 | c_RealVector_Onorm__class_Onorm(c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) = c_Nat_Osemiring__1__class_Oof__nat(V_n,tc_RealDef_Oreal) ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_complex__Im__of__nat_0,axiom,
% 12.19/12.31 c_Complex_OIm(c_Nat_Osemiring__1__class_Oof__nat(V_n,tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_complex__Re__of__nat_0,axiom,
% 12.19/12.31 c_Complex_ORe(c_Nat_Osemiring__1__class_Oof__nat(V_n,tc_Complex_Ocomplex)) = c_Nat_Osemiring__1__class_Oof__nat(V_n,tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_complex_Oinject_0,axiom,
% 12.19/12.31 ( c_Complex_Ocomplex_OComplex(V_real1,V_real2) != c_Complex_Ocomplex_OComplex(V_real1_H,V_real2_H)
% 12.19/12.31 | V_real1 = V_real1_H ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_complex_Oinject_1,axiom,
% 12.19/12.31 ( c_Complex_Ocomplex_OComplex(V_real1,V_real2) != c_Complex_Ocomplex_OComplex(V_real1_H,V_real2_H)
% 12.19/12.31 | V_real2 = V_real2_H ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_of__nat__eq__iff_0,axiom,
% 12.19/12.31 ( ~ class_Nat_Osemiring__char__0(T_a)
% 12.19/12.31 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 12.19/12.31 | V_m = V_n ) ).
% 12.19/12.31
% 12.19/12.31 cnf(cls_conjecture_0,negated_conjecture,
% 12.19/12.31 c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex) != c_Complex_Ocomplex_OComplex(c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 12.19/12.31 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 12.19/12.31 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 12.19/12.31 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 12.19/12.31 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 12.19/12.31 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 12.19/12.31 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 12.19/12.31 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 12.19/12.31 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 12.19/12.31 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
% 12.19/12.31 class_Ring__and__Field_Opordered__semiring(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom,
% 12.19/12.31 class_Ring__and__Field_Oordered__semiring(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 12.19/12.31 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 12.19/12.31 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 12.19/12.31 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 12.19/12.31 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom,
% 12.19/12.31 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 12.19/12.31 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 12.19/12.31 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 12.19/12.31 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 12.19/12.31 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 12.19/12.31 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
% 12.19/12.31 class_Ring__and__Field_Omult__mono1(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 12.19/12.31 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
% 12.19/12.31 class_Ring__and__Field_Omult__mono(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 12.19/12.31 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 12.19/12.31 class_Ring__and__Field_Osemiring(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 12.19/12.31 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__Divides_Osemiring__div,axiom,
% 12.19/12.31 class_Divides_Osemiring__div(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 12.19/12.31 class_Nat_Osemiring__char__0(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 12.19/12.31 class_Orderings_Opreorder(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 12.19/12.31 class_Orderings_Olinorder(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 12.19/12.31 class_Orderings_Oorder(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_nat__Int_Onumber,axiom,
% 12.19/12.31 class_Int_Onumber(tc_nat) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 12.19/12.31 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 12.19/12.31 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 12.19/12.31 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 12.19/12.31 class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring__strict,axiom,
% 12.19/12.31 class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 12.19/12.31 class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 12.19/12.31 class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add__abs,axiom,
% 12.19/12.31 class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 12.19/12.31 class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 12.19/12.31 class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 12.19/12.31 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__ring__strict,axiom,
% 12.19/12.31 class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add,axiom,
% 12.19/12.31 class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add,axiom,
% 12.19/12.31 class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__OrderedGroup_Oordered__ab__group__add,axiom,
% 12.19/12.31 class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add,axiom,
% 12.19/12.31 class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__semiring,axiom,
% 12.19/12.31 class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__ring__abs,axiom,
% 12.19/12.31 class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring,axiom,
% 12.19/12.31 class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors,axiom,
% 12.19/12.31 class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semidom,axiom,
% 12.19/12.31 class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,axiom,
% 12.19/12.31 class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__mult,axiom,
% 12.19/12.31 class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__mult,axiom,
% 12.19/12.31 class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add,axiom,
% 12.19/12.31 class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__ring,axiom,
% 12.19/12.31 class_Ring__and__Field_Opordered__ring(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Olordered__ring,axiom,
% 12.19/12.31 class_Ring__and__Field_Olordered__ring(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring,axiom,
% 12.19/12.31 class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add,axiom,
% 12.19/12.31 class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one,axiom,
% 12.19/12.31 class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__idom,axiom,
% 12.19/12.31 class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring__1,axiom,
% 12.19/12.31 class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Omult__mono1,axiom,
% 12.19/12.31 class_Ring__and__Field_Omult__mono1(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__OrderedGroup_Oab__group__add,axiom,
% 12.19/12.31 class_OrderedGroup_Oab__group__add(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Omult__zero,axiom,
% 12.19/12.31 class_Ring__and__Field_Omult__zero(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Omult__mono,axiom,
% 12.19/12.31 class_Ring__and__Field_Omult__mono(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__mult,axiom,
% 12.19/12.31 class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring,axiom,
% 12.19/12.31 class_Ring__and__Field_Osemiring(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__add,axiom,
% 12.19/12.31 class_OrderedGroup_Omonoid__add(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__OrderedGroup_Ogroup__add,axiom,
% 12.19/12.31 class_OrderedGroup_Ogroup__add(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Osgn__if,axiom,
% 12.19/12.31 class_Ring__and__Field_Osgn__if(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Oabs__if,axiom,
% 12.19/12.31 class_Ring__and__Field_Oabs__if(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Divides_Osemiring__div,axiom,
% 12.19/12.31 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Oring,axiom,
% 12.19/12.31 class_Ring__and__Field_Oring(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Ring__and__Field_Oidom,axiom,
% 12.19/12.31 class_Ring__and__Field_Oidom(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 12.19/12.31 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Orderings_Opreorder,axiom,
% 12.19/12.31 class_Orderings_Opreorder(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Orderings_Olinorder,axiom,
% 12.19/12.31 class_Orderings_Olinorder(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Divides_Oring__div,axiom,
% 12.19/12.31 class_Divides_Oring__div(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Orderings_Oorder,axiom,
% 12.19/12.31 class_Orderings_Oorder(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Int_Oring__char__0,axiom,
% 12.19/12.31 class_Int_Oring__char__0(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Int_Onumber__ring,axiom,
% 12.19/12.31 class_Int_Onumber__ring(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Int__Oint__Int_Onumber,axiom,
% 12.19/12.31 class_Int_Onumber(tc_Int_Oint) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 12.19/12.31 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 12.19/12.31 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 12.19/12.31 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 12.19/12.31 class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom,
% 12.19/12.31 class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 12.19/12.31 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 12.19/12.31 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom,
% 12.19/12.31 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 12.19/12.31 class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 12.19/12.31 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 12.19/12.31 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom,
% 12.19/12.31 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom,
% 12.19/12.31 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom,
% 12.19/12.31 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom,
% 12.19/12.31 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom,
% 12.19/12.31 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom,
% 12.19/12.31 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom,
% 12.19/12.31 class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs,axiom,
% 12.19/12.31 class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom,
% 12.19/12.31 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom,
% 12.19/12.31 class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom,
% 12.19/12.31 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom,
% 12.19/12.31 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom,
% 12.19/12.31 class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
% 12.19/12.31 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
% 12.19/12.31 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom,
% 12.19/12.31 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
% 12.19/12.31 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,axiom,
% 12.19/12.31 class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom,
% 12.19/12.31 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom,
% 12.19/12.31 class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom,
% 12.19/12.31 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring,axiom,
% 12.19/12.31 class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring,axiom,
% 12.19/12.31 class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom,
% 12.19/12.31 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom,
% 12.19/12.31 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom,
% 12.19/12.31 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom,
% 12.19/12.31 class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
% 12.19/12.31 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__div__algebra,axiom,
% 12.19/12.31 class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring__1,axiom,
% 12.19/12.31 class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom,
% 12.19/12.31 class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra__1,axiom,
% 12.19/12.31 class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom,
% 12.19/12.31 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom,
% 12.19/12.31 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom,
% 12.19/12.31 class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,axiom,
% 12.19/12.31 class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom,
% 12.19/12.31 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__RealVector_Osgn__div__norm,axiom,
% 12.19/12.31 class_RealVector_Osgn__div__norm(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra,axiom,
% 12.19/12.31 class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__RealVector_Ometric__space,axiom,
% 12.19/12.31 class_RealVector_Ometric__space(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom,
% 12.19/12.31 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__vector,axiom,
% 12.19/12.31 class_RealVector_Oreal__vector(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
% 12.19/12.31 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osgn__if,axiom,
% 12.19/12.31 class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,axiom,
% 12.19/12.31 class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__field,axiom,
% 12.19/12.31 class_RealVector_Oreal__field(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom,
% 12.19/12.31 class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__RealVector_Odist__norm,axiom,
% 12.19/12.31 class_RealVector_Odist__norm(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom,
% 12.19/12.31 class_Ring__and__Field_Oring(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom,
% 12.19/12.31 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Nat_Osemiring__char__0,axiom,
% 12.19/12.31 class_Nat_Osemiring__char__0(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
% 12.19/12.31 class_Orderings_Opreorder(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
% 12.19/12.31 class_Orderings_Olinorder(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom,
% 12.19/12.31 class_Orderings_Oorder(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Int_Oring__char__0,axiom,
% 12.19/12.31 class_Int_Oring__char__0(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom,
% 12.19/12.31 class_Int_Onumber__ring(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__SEQ_Obanach,axiom,
% 12.19/12.31 class_SEQ_Obanach(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_RealDef__Oreal__Int_Onumber,axiom,
% 12.19/12.31 class_Int_Onumber(tc_RealDef_Oreal) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 12.19/12.31 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 12.19/12.31 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
% 12.19/12.31 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom,
% 12.19/12.31 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
% 12.19/12.31 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom,
% 12.19/12.31 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom,
% 12.19/12.31 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
% 12.19/12.31 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
% 12.19/12.31 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom,
% 12.19/12.31 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
% 12.19/12.31 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom,
% 12.19/12.31 class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom,
% 12.19/12.31 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,axiom,
% 12.19/12.31 class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom,
% 12.19/12.31 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom,
% 12.19/12.31 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom,
% 12.19/12.31 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom,
% 12.19/12.31 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__div__algebra,axiom,
% 12.19/12.31 class_RealVector_Oreal__div__algebra(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__1,axiom,
% 12.19/12.31 class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1,axiom,
% 12.19/12.31 class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
% 12.19/12.31 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom,
% 12.19/12.31 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
% 12.19/12.31 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom,
% 12.19/12.31 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__RealVector_Osgn__div__norm,axiom,
% 12.19/12.31 class_RealVector_Osgn__div__norm(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra,axiom,
% 12.19/12.31 class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__RealVector_Ometric__space,axiom,
% 12.19/12.31 class_RealVector_Ometric__space(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom,
% 12.19/12.31 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__vector,axiom,
% 12.19/12.31 class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
% 12.19/12.31 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__field,axiom,
% 12.19/12.31 class_RealVector_Oreal__field(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
% 12.19/12.31 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__RealVector_Odist__norm,axiom,
% 12.19/12.31 class_RealVector_Odist__norm(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom,
% 12.19/12.31 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
% 12.19/12.31 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__Nat_Osemiring__char__0,axiom,
% 12.19/12.31 class_Nat_Osemiring__char__0(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__Int_Oring__char__0,axiom,
% 12.19/12.31 class_Int_Oring__char__0(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
% 12.19/12.31 class_Int_Onumber__ring(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__SEQ_Obanach,axiom,
% 12.19/12.31 class_SEQ_Obanach(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 cnf(clsarity_Complex__Ocomplex__Int_Onumber,axiom,
% 12.19/12.31 class_Int_Onumber(tc_Complex_Ocomplex) ).
% 12.19/12.31
% 12.19/12.31 %------------------------------------------------------------------------------
% 12.19/12.31 %-------------------------------------------
% 12.19/12.31 % Proof found
% 12.19/12.31 % SZS status Theorem for theBenchmark
% 12.19/12.31 % SZS output start Proof
% 12.19/12.32 %ClaNum:1409(EqnAxiom:145)
% 12.19/12.32 %VarNum:8006(SingletonVarNum:2380)
% 12.19/12.32 %MaxLitNum:6
% 12.19/12.32 %MaxfuncDepth:4
% 12.19/12.32 %SharedTerms:254
% 12.19/12.32 %goalClause: 410
% 12.19/12.32 %singleGoalClaCount:1
% 12.19/12.32 [146]P1(a1)
% 12.19/12.32 [147]P1(a39)
% 12.19/12.32 [148]P1(a2)
% 12.19/12.32 [149]P2(a39)
% 12.19/12.32 [150]P2(a2)
% 12.19/12.32 [151]P6(a1)
% 12.19/12.32 [152]P6(a2)
% 12.19/12.32 [153]P32(a1)
% 12.19/12.32 [154]P33(a1)
% 12.19/12.32 [155]P33(a3)
% 12.19/12.32 [156]P7(a1)
% 12.19/12.32 [157]P7(a3)
% 12.19/12.32 [158]P7(a39)
% 12.19/12.32 [159]P7(a2)
% 12.19/12.32 [160]P34(a1)
% 12.19/12.32 [161]P34(a3)
% 12.19/12.32 [162]P51(a1)
% 12.19/12.32 [163]P51(a3)
% 12.19/12.32 [164]P60(a1)
% 12.19/12.32 [165]P60(a39)
% 12.19/12.32 [166]P60(a2)
% 12.19/12.32 [167]P39(a1)
% 12.19/12.32 [168]P39(a3)
% 12.19/12.32 [169]P35(a1)
% 12.19/12.32 [170]P35(a3)
% 12.19/12.32 [171]P40(a1)
% 12.19/12.32 [172]P40(a3)
% 12.19/12.32 [173]P61(a1)
% 12.19/12.32 [174]P61(a2)
% 12.19/12.32 [175]P52(a1)
% 12.19/12.32 [176]P52(a3)
% 12.19/12.32 [177]P52(a2)
% 12.19/12.32 [178]P8(a1)
% 12.19/12.32 [179]P8(a3)
% 12.19/12.32 [180]P8(a2)
% 12.19/12.32 [181]P65(a1)
% 12.19/12.32 [182]P65(a2)
% 12.19/12.32 [183]P54(a1)
% 12.19/12.32 [184]P54(a39)
% 12.19/12.32 [185]P54(a2)
% 12.19/12.32 [186]P56(a1)
% 12.19/12.32 [187]P56(a39)
% 12.19/12.32 [188]P56(a2)
% 12.19/12.32 [189]P53(a1)
% 12.19/12.32 [190]P53(a3)
% 12.19/12.32 [191]P41(a1)
% 12.19/12.32 [192]P41(a3)
% 12.19/12.32 [193]P47(a1)
% 12.19/12.32 [194]P47(a3)
% 12.19/12.32 [195]P63(a1)
% 12.19/12.32 [196]P63(a39)
% 12.19/12.32 [197]P63(a2)
% 12.19/12.32 [198]P42(a1)
% 12.19/12.32 [199]P42(a3)
% 12.19/12.32 [200]P9(a1)
% 12.19/12.32 [201]P9(a3)
% 12.19/12.32 [202]P9(a2)
% 12.19/12.32 [203]P26(a1)
% 12.19/12.32 [204]P26(a2)
% 12.19/12.32 [205]P27(a1)
% 12.19/12.32 [206]P27(a39)
% 12.19/12.32 [207]P27(a2)
% 12.19/12.32 [208]P66(a1)
% 12.19/12.32 [209]P66(a39)
% 12.19/12.32 [210]P66(a2)
% 12.19/12.32 [211]P43(a1)
% 12.19/12.32 [212]P43(a3)
% 12.19/12.32 [213]P10(a1)
% 12.19/12.32 [214]P10(a3)
% 12.19/12.32 [215]P10(a39)
% 12.19/12.32 [216]P10(a2)
% 12.19/12.32 [217]P48(a1)
% 12.19/12.32 [218]P48(a3)
% 12.19/12.32 [219]P48(a39)
% 12.19/12.32 [220]P48(a2)
% 12.19/12.32 [221]P49(a1)
% 12.19/12.32 [222]P49(a3)
% 12.19/12.32 [223]P49(a39)
% 12.19/12.32 [224]P49(a2)
% 12.19/12.32 [225]P21(a1)
% 12.19/12.32 [226]P21(a2)
% 12.19/12.32 [227]P62(a1)
% 12.19/12.32 [228]P62(a2)
% 12.19/12.32 [229]P67(a1)
% 12.19/12.32 [230]P67(a3)
% 12.19/12.32 [231]P67(a2)
% 12.19/12.32 [232]P68(a1)
% 12.19/12.32 [233]P68(a39)
% 12.19/12.32 [234]P68(a2)
% 12.19/12.32 [235]P3(a2)
% 12.19/12.32 [236]P69(a1)
% 12.19/12.32 [237]P69(a2)
% 12.19/12.32 [238]P28(a1)
% 12.19/12.32 [239]P28(a39)
% 12.19/12.32 [240]P28(a2)
% 12.19/12.32 [241]P29(a1)
% 12.19/12.32 [242]P29(a39)
% 12.19/12.32 [243]P29(a2)
% 12.19/12.32 [244]P22(a1)
% 12.19/12.32 [245]P22(a2)
% 12.19/12.32 [246]P30(a1)
% 12.19/12.32 [247]P30(a39)
% 12.19/12.32 [248]P30(a2)
% 12.19/12.32 [249]P70(a1)
% 12.19/12.32 [250]P70(a2)
% 12.19/12.32 [251]P11(a1)
% 12.19/12.32 [252]P11(a3)
% 12.19/12.32 [253]P11(a2)
% 12.19/12.32 [254]P17(a1)
% 12.19/12.32 [255]P17(a3)
% 12.19/12.32 [256]P17(a39)
% 12.19/12.32 [257]P17(a2)
% 12.19/12.32 [258]P18(a1)
% 12.19/12.32 [259]P18(a3)
% 12.19/12.32 [260]P18(a39)
% 12.19/12.32 [261]P18(a2)
% 12.19/12.32 [262]P45(a1)
% 12.19/12.32 [263]P45(a3)
% 12.19/12.32 [264]P46(a1)
% 12.19/12.32 [265]P46(a3)
% 12.19/12.32 [266]P38(a1)
% 12.19/12.32 [267]P38(a3)
% 12.19/12.32 [268]P74(a1)
% 12.19/12.32 [269]P74(a3)
% 12.19/12.32 [270]P50(a1)
% 12.19/12.32 [271]P50(a2)
% 12.19/12.32 [272]P64(a1)
% 12.19/12.32 [273]P64(a39)
% 12.19/12.32 [274]P64(a2)
% 12.19/12.32 [275]P19(a1)
% 12.19/12.32 [276]P19(a3)
% 12.19/12.32 [277]P19(a39)
% 12.19/12.32 [278]P19(a2)
% 12.19/12.32 [279]P55(a1)
% 12.19/12.32 [280]P55(a2)
% 12.19/12.32 [281]P23(a1)
% 12.19/12.32 [282]P23(a3)
% 12.19/12.32 [283]P23(a39)
% 12.19/12.32 [284]P23(a2)
% 12.19/12.32 [285]P20(a1)
% 12.19/12.32 [286]P20(a3)
% 12.19/12.32 [287]P20(a39)
% 12.19/12.32 [288]P20(a2)
% 12.19/12.32 [289]P36(a1)
% 12.19/12.32 [290]P36(a39)
% 12.19/12.32 [291]P36(a2)
% 12.19/12.32 [292]P44(a1)
% 12.19/12.32 [293]P44(a3)
% 12.19/12.32 [294]P25(a1)
% 12.19/12.32 [295]P25(a2)
% 12.19/12.32 [296]P15(a1)
% 12.19/12.32 [297]P15(a3)
% 12.19/12.32 [298]P15(a39)
% 12.19/12.32 [299]P15(a2)
% 12.19/12.32 [300]P71(a1)
% 12.19/12.32 [301]P71(a3)
% 12.19/12.32 [302]P71(a39)
% 12.19/12.32 [303]P71(a2)
% 12.19/12.32 [304]P12(a1)
% 12.19/12.32 [305]P12(a3)
% 12.19/12.32 [306]P12(a2)
% 12.19/12.32 [307]P31(a1)
% 12.19/12.32 [308]P31(a39)
% 12.19/12.32 [309]P31(a2)
% 12.19/12.32 [310]P57(a1)
% 12.19/12.32 [311]P57(a39)
% 12.19/12.32 [312]P57(a2)
% 12.19/12.32 [313]P72(a1)
% 12.19/12.32 [314]P72(a3)
% 12.19/12.32 [315]P72(a2)
% 12.19/12.32 [316]P58(a1)
% 12.19/12.32 [317]P58(a3)
% 12.19/12.32 [318]P58(a39)
% 12.19/12.32 [319]P58(a2)
% 12.19/12.32 [320]P75(a1)
% 12.19/12.32 [321]P75(a3)
% 12.19/12.32 [322]P75(a39)
% 12.19/12.32 [323]P75(a2)
% 12.19/12.32 [324]P59(a1)
% 12.19/12.32 [325]P59(a3)
% 12.19/12.32 [326]P59(a39)
% 12.19/12.32 [327]P59(a2)
% 12.19/12.32 [328]P37(a1)
% 12.19/12.32 [329]P37(a3)
% 12.19/12.32 [330]P24(a1)
% 12.19/12.32 [331]P24(a3)
% 12.19/12.32 [332]P24(a39)
% 12.19/12.32 [333]P24(a2)
% 12.19/12.32 [334]P73(a1)
% 12.19/12.32 [335]P73(a3)
% 12.19/12.32 [336]P73(a39)
% 12.19/12.32 [337]P73(a2)
% 12.19/12.32 [338]P13(a1)
% 12.19/12.32 [339]P13(a3)
% 12.19/12.32 [340]P13(a39)
% 12.19/12.32 [341]P13(a2)
% 12.19/12.32 [342]E(f4(a1),f6(a5))
% 12.19/12.32 [343]E(f37(a23),f4(a1))
% 12.19/12.32 [344]E(f4(a1),f38(a23))
% 12.19/12.32 [345]E(f11(a1),f7(a5))
% 12.19/12.32 [389]P5(f4(a1),a23,a1)
% 12.19/12.32 [390]P4(f4(a1),a23,a1)
% 12.19/12.32 [402]~E(f4(a3),a5)
% 12.19/12.32 [403]~E(f11(a3),a5)
% 12.19/12.32 [404]~E(f4(a1),a23)
% 12.19/12.32 [405]~E(f11(a1),f4(a1))
% 12.19/12.32 [412]~P5(a23,f4(a1),a1)
% 12.19/12.32 [346]E(f6(f4(a3)),f4(a1))
% 12.19/12.32 [347]E(f6(f11(a3)),f11(a1))
% 12.19/12.32 [348]E(f24(f4(a1)),f4(a1))
% 12.19/12.32 [349]E(f24(f11(a1)),f11(a1))
% 12.19/12.32 [350]E(f29(f4(a1)),f11(a1))
% 12.19/12.32 [351]E(f37(f4(a1)),f4(a1))
% 12.19/12.32 [352]E(f30(f4(a1)),f4(a1))
% 12.19/12.32 [353]E(f38(f4(a1)),f4(a1))
% 12.19/12.32 [354]E(f8(f4(a3)),f4(a3))
% 12.19/12.32 [355]E(f8(f11(a3)),f11(a3))
% 12.19/12.32 [356]E(f7(f4(a3)),f4(a1))
% 12.19/12.32 [357]E(f7(f11(a3)),f4(a1))
% 12.19/12.32 [361]E(f12(f4(a1),a1),f4(a1))
% 12.19/12.32 [362]E(f19(f4(a1),a1),f4(a1))
% 12.19/12.32 [367]E(f10(f4(a1),f11(a1)),a5)
% 12.19/12.32 [370]E(f10(f4(a1),f4(a1)),f4(a3))
% 12.19/12.32 [371]E(f10(f11(a1),f4(a1)),f11(a3))
% 12.19/12.32 [410]~E(f10(f28(a40,a1),f4(a1)),f28(a40,a3))
% 12.19/12.32 [413]~P5(f4(a1),f21(f4(a1),f4(a1),a1),a1)
% 12.19/12.32 [388]P4(x3881,x3881,a1)
% 12.19/12.32 [411]~P5(x4111,x4111,a1)
% 12.19/12.32 [393]P4(f29(x3931),f11(a1),a1)
% 12.19/12.32 [394]P4(f37(x3941),f11(a1),a1)
% 12.19/12.32 [406]~E(f26(x4061,a3),a5)
% 12.19/12.32 [408]~E(f13(x4081,a39),f4(a39))
% 12.19/12.32 [358]E(f38(f30(x3581)),x3581)
% 12.19/12.32 [359]E(f8(f8(x3591)),x3591)
% 12.19/12.32 [360]E(f6(f8(x3601)),f6(x3601))
% 12.19/12.32 [363]E(f25(x3631,f4(a1)),f11(a1))
% 12.19/12.32 [364]E(f27(x3641,f4(a1)),f4(a1))
% 12.19/12.32 [365]E(f25(f11(a1),x3651),f11(a1))
% 12.19/12.32 [372]E(f10(f6(x3721),f7(x3721)),x3721)
% 12.19/12.32 [373]E(f6(f31(x3731,a3)),x3731)
% 12.19/12.32 [374]E(f7(f26(x3741,a3)),f4(a1))
% 12.19/12.32 [375]E(f7(f31(x3751,a3)),f4(a1))
% 12.19/12.32 [376]E(f7(f28(x3761,a3)),f4(a1))
% 12.19/12.32 [378]E(f10(x3781,f4(a1)),f31(x3781,a3))
% 12.19/12.32 [381]E(f6(f26(x3811,a3)),f26(x3811,a1))
% 12.19/12.32 [382]E(f6(f28(x3821,a3)),f28(x3821,a1))
% 12.19/12.32 [383]E(f8(f26(x3831,a3)),f26(x3831,a3))
% 12.19/12.32 [384]E(f8(f31(x3841,a3)),f31(x3841,a3))
% 12.19/12.32 [385]E(f8(f28(x3851,a3)),f28(x3851,a3))
% 12.19/12.32 [386]E(f24(f12(x3861,a1)),f12(f24(x3861),a1))
% 12.19/12.32 [387]E(f10(f26(x3871,a1),f4(a1)),f26(x3871,a3))
% 12.19/12.32 [391]E(f21(f11(a1),x3911,a1),x3911)
% 12.19/12.32 [407]~E(f29(f30(x4071)),f4(a1))
% 12.19/12.32 [396]P5(f4(a1),f25(x3961,x3962),a1)
% 12.19/12.32 [397]P4(f4(a1),f25(x3971,x3972),a1)
% 12.19/12.32 [398]E(f21(x3981,x3982,a1),f21(x3982,x3981,a1))
% 12.19/12.32 [409]~E(f25(x4091,x4092),f4(a1))
% 12.19/12.32 [379]E(f6(f10(x3791,x3792)),x3791)
% 12.19/12.32 [380]E(f7(f10(x3801,x3802)),x3802)
% 12.19/12.32 [400]E(f21(f24(x4001),f24(x4002),a1),f24(f21(x4001,x4002,a1)))
% 12.19/12.32 [395]E(f25(f25(x3951,x3952),x3953),f25(f25(x3951,x3953),x3952))
% 12.19/12.32 [399]E(f25(x3991,f21(x3992,x3993,a1)),f25(f25(x3991,x3992),x3993))
% 12.19/12.32 [401]E(f21(f21(x4011,x4012,a1),x4013,a1),f21(x4011,f21(x4012,x4013,a1),a1))
% 12.19/12.32 [414]~E(f24(x4141),f4(a1))+E(x4141,f4(a1))
% 12.19/12.32 [415]~E(f8(x4151),f4(a3))+E(x4151,f4(a3))
% 12.19/12.32 [416]~E(f24(x4161),f11(a1))+E(x4161,f11(a1))
% 12.19/12.32 [419]~E(f29(x4191),f11(a1))+E(f37(x4191),f4(a1))
% 12.19/12.32 [421]~P75(x4211)+~E(f11(x4211),f4(x4211))
% 12.19/12.32 [544]~P63(x5441)+P5(f4(x5441),f11(x5441),x5441)
% 12.19/12.32 [545]~P63(x5451)+P4(f4(x5451),f11(x5451),x5451)
% 12.19/12.32 [596]~E(f24(x5961),f4(a1))+~P5(f4(a1),x5961,a1)
% 12.19/12.32 [602]~P5(f4(a1),x6021,a1)+E(f19(x6021,a1),f11(a1))
% 12.19/12.32 [616]~P63(x6161)+~P5(f11(x6161),f4(x6161),x6161)
% 12.19/12.32 [617]~P63(x6171)+~P4(f11(x6171),f4(x6171),x6171)
% 12.19/12.32 [693]~P5(x6931,f4(a1),a1)+P5(f24(x6931),f4(a1),a1)
% 12.19/12.32 [694]~P5(x6941,f11(a1),a1)+P5(f24(x6941),f11(a1),a1)
% 12.19/12.32 [695]~P4(x6951,f4(a1),a1)+P4(f24(x6951),f4(a1),a1)
% 12.19/12.32 [696]~P4(x6961,f11(a1),a1)+P4(f24(x6961),f11(a1),a1)
% 12.19/12.32 [698]~P5(f4(a1),x6981,a1)+P5(f4(a1),f24(x6981),a1)
% 12.19/12.32 [699]~P5(f11(a1),x6991,a1)+P5(f11(a1),f24(x6991),a1)
% 12.19/12.32 [701]~P4(f4(a1),x7011,a1)+P4(f4(a1),f24(x7011),a1)
% 12.19/12.32 [703]~P4(f11(a1),x7031,a1)+P4(f11(a1),f24(x7031),a1)
% 12.19/12.32 [704]~P5(f24(x7041),f4(a1),a1)+P5(x7041,f4(a1),a1)
% 12.19/12.32 [705]~P5(f24(x7051),f11(a1),a1)+P5(x7051,f11(a1),a1)
% 12.19/12.32 [706]~P4(f24(x7061),f4(a1),a1)+P4(x7061,f4(a1),a1)
% 12.19/12.32 [707]~P4(f24(x7071),f11(a1),a1)+P4(x7071,f11(a1),a1)
% 12.19/12.32 [708]~P5(f4(a1),f24(x7081),a1)+P5(f4(a1),x7081,a1)
% 12.19/12.32 [709]~P5(f11(a1),f24(x7091),a1)+P5(f11(a1),x7091,a1)
% 12.19/12.32 [710]~P4(f4(a1),f24(x7101),a1)+P4(f4(a1),x7101,a1)
% 12.19/12.32 [711]~P4(f11(a1),f24(x7111),a1)+P4(f11(a1),x7111,a1)
% 12.19/12.32 [719]E(x7191,f4(a1))+P5(f4(a1),f21(x7191,x7191,a1),a1)
% 12.19/12.32 [424]~P34(x4241)+E(f31(f4(a1),x4241),f4(x4241))
% 12.19/12.32 [425]~P34(x4251)+E(f31(f11(a1),x4251),f11(x4251))
% 12.19/12.32 [426]~P73(x4261)+E(f28(f4(a39),x4261),f4(x4261))
% 12.19/12.32 [428]~P47(x4281)+E(f32(f4(x4281),x4281),f4(a1))
% 12.19/12.32 [429]~P46(x4291)+E(f32(f11(x4291),x4291),f11(a1))
% 12.19/12.32 [435]~P33(x4351)+E(f12(f4(x4351),x4351),f4(x4351))
% 12.19/12.32 [436]~P51(x4361)+E(f12(f11(x4361),x4361),f11(x4361))
% 12.19/12.32 [437]~P47(x4371)+E(f19(f4(x4371),x4371),f4(x4371))
% 12.19/12.32 [438]~P62(x4381)+E(f19(f4(x4381),x4381),f4(x4381))
% 12.19/12.32 [439]~P70(x4391)+E(f19(f4(x4391),x4391),f4(x4391))
% 12.19/12.32 [440]~P46(x4401)+E(f19(f11(x4401),x4401),f11(x4401))
% 12.19/12.32 [441]~P9(x4411)+E(f22(f4(x4411),x4411),f4(x4411))
% 12.19/12.32 [442]~P25(x4421)+E(f22(f4(x4421),x4421),f4(x4421))
% 12.19/12.32 [443]~P26(x4431)+E(f16(f4(x4431),x4431),f4(x4431))
% 12.19/12.32 [444]~P62(x4441)+E(f16(f11(x4441),x4441),f11(x4441))
% 12.19/12.32 [445]~P21(x4451)+E(f33(f4(x4451),x4451),f4(x4451))
% 12.19/12.32 [547]~P21(x5471)+E(f20(f4(x5471),f4(x5471),x5471),f4(x5471))
% 12.19/12.32 [556]E(x5561,f4(a1))+E(f21(f12(x5561,a1),x5561,a1),f11(a1))
% 12.19/12.32 [559]P5(f4(a1),x5591,a1)+~E(f25(x5591,f11(a1)),x5591)
% 12.19/12.32 [598]~P47(x5981)+P4(f32(f4(x5981),x5981),f4(a1),a1)
% 12.19/12.32 [604]~P26(x6041)+P4(f16(f4(x6041),x6041),f4(x6041),x6041)
% 12.19/12.32 [606]~P5(f4(a1),x6061,a1)+E(f25(x6061,f11(a1)),x6061)
% 12.19/12.32 [713]~P47(x7131)+~P5(f4(a1),f32(f4(x7131),x7131),a1)
% 12.19/12.32 [718]~P26(x7181)+~P5(f4(x7181),f16(f4(x7181),x7181),x7181)
% 12.19/12.32 [805]~P63(x8051)+P5(f4(x8051),f20(f11(x8051),f11(x8051),x8051),x8051)
% 12.19/12.32 [491]~P47(x4911)+E(f32(f19(f4(x4911),x4911),x4911),f4(a1))
% 12.19/12.32 [959]~P61(x9591)+E(f20(f21(f4(x9591),f4(x9591),x9591),f21(f4(x9591),f4(x9591),x9591),x9591),f4(x9591))
% 12.19/12.32 [1308]~P61(x13081)+P4(f20(f21(f4(x13081),f4(x13081),x13081),f21(f4(x13081),f4(x13081),x13081),x13081),f4(x13081),x13081)
% 12.19/12.32 [1397]~P61(x13971)+~P5(f4(x13971),f20(f21(f4(x13971),f4(x13971),x13971),f21(f4(x13971),f4(x13971),x13971),x13971),x13971)
% 12.19/12.32 [552]E(x5521,f4(a1))+E(f29(f9(f10(f4(a1),x5521))),f4(a1))
% 12.19/12.32 [720]~P5(x7201,f4(a1),a1)+E(f29(f9(f10(f4(a1),x7201))),f4(a1))
% 12.19/12.32 [721]~P5(f4(a1),x7211,a1)+E(f29(f9(f10(f4(a1),x7211))),f4(a1))
% 12.19/12.32 [489]~P1(x4892)+P4(x4891,x4891,x4892)
% 12.19/12.32 [490]~P36(x4902)+P4(x4901,x4901,x4902)
% 12.19/12.32 [578]~P5(x5782,x5782,x5781)+~P1(x5781)
% 12.19/12.32 [579]~P5(x5792,x5792,x5791)+~P27(x5791)
% 12.19/12.32 [580]~P5(x5802,x5802,x5801)+~P36(x5801)
% 12.19/12.32 [605]P4(x6052,x6051,a1)+P4(x6051,x6052,a1)
% 12.19/12.32 [658]~P5(x6581,x6582,a1)+P4(x6581,x6582,a1)
% 12.19/12.32 [417]E(x4171,x4172)+~E(f24(x4171),f24(x4172))
% 12.19/12.32 [418]E(x4181,x4182)+~E(f8(x4181),f8(x4182))
% 12.19/12.32 [422]E(x4221,f11(a1))+~E(f10(x4222,x4221),a5)
% 12.19/12.32 [423]E(x4231,f4(a1))+~E(f10(x4231,x4232),a5)
% 12.19/12.32 [430]E(x4301,f4(a1))+~E(f10(x4302,x4301),f4(a3))
% 12.19/12.32 [431]E(x4311,f4(a1))+~E(f10(x4312,x4311),f11(a3))
% 12.19/12.32 [432]E(x4321,f4(a1))+~E(f10(x4321,x4322),f4(a3))
% 12.19/12.32 [433]E(x4331,f11(a1))+~E(f10(x4331,x4332),f11(a3))
% 12.19/12.32 [492]~P16(x4922)+E(f21(x4921,x4921,x4922),x4921)
% 12.19/12.32 [493]~P35(x4932)+E(f34(x4931,x4931,x4932),f4(a1))
% 12.19/12.32 [496]~P2(x4962)+E(f14(x4961,x4961,x4962),f4(x4962))
% 12.19/12.32 [498]~P9(x4982)+E(f18(x4981,x4981,x4982),f4(x4982))
% 12.19/12.32 [499]~P11(x4992)+E(f18(x4991,x4991,x4992),f4(x4992))
% 12.19/12.32 [563]~P26(x5632)+P4(x5631,f16(x5631,x5632),x5632)
% 12.19/12.32 [566]~P47(x5662)+P4(f4(a1),f32(x5661,x5662),a1)
% 12.19/12.32 [581]~P26(x5811)+P4(f4(x5811),f16(x5812,x5811),x5811)
% 12.19/12.32 [582]~P21(x5821)+P4(f4(x5821),f33(x5822,x5821),x5821)
% 12.19/12.32 [584]~P63(x5841)+P4(f4(x5841),f28(x5842,x5841),x5841)
% 12.19/12.32 [618]~P26(x6182)+P4(f22(x6181,x6182),f16(x6181,x6182),x6182)
% 12.19/12.32 [657]~P47(x6571)+~P5(f32(x6572,x6571),f4(a1),a1)
% 12.19/12.32 [673]~P63(x6731)+~P5(f28(x6732,x6731),f4(x6731),x6731)
% 12.19/12.32 [674]~P26(x6741)+~P5(f16(x6742,x6741),f4(x6741),x6741)
% 12.19/12.32 [680]~P5(x6801,x6802,a1)+P5(f24(x6801),f24(x6802),a1)
% 12.19/12.32 [681]~P5(x6811,x6812,a1)+P5(f30(x6811),f30(x6812),a1)
% 12.19/12.32 [682]~P4(x6821,x6822,a1)+P4(f24(x6821),f24(x6822),a1)
% 12.19/12.32 [683]~P4(x6831,x6832,a1)+P4(f30(x6831),f30(x6832),a1)
% 12.19/12.32 [714]P5(x7141,x7142,a1)+~P5(f24(x7141),f24(x7142),a1)
% 12.19/12.32 [715]P4(x7151,x7152,a1)+~P4(f24(x7151),f24(x7152),a1)
% 12.19/12.32 [730]~P35(x7302)+P4(f34(x7301,x7301,x7302),f4(a1),a1)
% 12.19/12.32 [738]~P61(x7381)+P4(f4(x7381),f21(x7382,x7382,x7381),x7381)
% 12.19/12.32 [898]~P35(x8981)+~P5(f4(a1),f34(x8982,x8982,x8981),a1)
% 12.19/12.32 [906]~P61(x9061)+~P5(f21(x9062,x9062,x9061),f4(x9061),x9061)
% 12.19/12.32 [468]~P9(x4682)+E(f22(f22(x4681,x4682),x4682),x4681)
% 12.19/12.32 [469]~P14(x4692)+E(f22(f22(x4691,x4692),x4692),x4691)
% 12.19/12.32 [480]~P34(x4802)+E(f31(f28(x4801,a1),x4802),f28(x4801,x4802))
% 12.19/12.32 [481]~P46(x4812)+E(f32(f28(x4811,x4812),x4812),f28(x4811,a1))
% 12.19/12.32 [484]~P62(x4842)+E(f19(f19(x4841,x4842),x4842),f19(x4841,x4842))
% 12.19/12.32 [485]~P47(x4852)+E(f32(f22(x4851,x4852),x4852),f32(x4851,x4852))
% 12.19/12.32 [486]~P26(x4862)+E(f16(f22(x4861,x4862),x4862),f16(x4861,x4862))
% 12.19/12.32 [487]~P26(x4872)+E(f16(f16(x4871,x4872),x4872),f16(x4871,x4872))
% 12.19/12.32 [488]~P62(x4882)+E(f16(f28(x4881,x4882),x4882),f28(x4881,x4882))
% 12.19/12.32 [500]~P40(x5002)+E(f35(f11(a1),x5001,x5002),x5001)
% 12.19/12.32 [501]~P2(x5012)+E(f15(x5011,f11(x5012),x5012),x5011)
% 12.19/12.32 [502]~P48(x5022)+E(f21(x5021,f11(x5022),x5022),x5021)
% 12.19/12.32 [503]~P23(x5032)+E(f21(x5031,f11(x5032),x5032),x5031)
% 12.19/12.32 [504]~P2(x5042)+E(f14(x5041,f4(x5042),x5042),x5041)
% 12.19/12.32 [505]~P48(x5052)+E(f20(x5051,f4(x5052),x5052),x5051)
% 12.19/12.32 [506]~P19(x5062)+E(f20(x5061,f4(x5062),x5062),x5061)
% 12.19/12.32 [507]~P24(x5072)+E(f20(x5071,f4(x5072),x5072),x5071)
% 12.19/12.32 [508]~P9(x5082)+E(f18(x5081,f4(x5082),x5082),x5081)
% 12.19/12.32 [509]~P53(x5092)+E(f17(x5091,f11(x5092),x5092),x5091)
% 12.19/12.32 [511]~P48(x5111)+E(f21(f11(x5111),x5112,x5111),x5112)
% 12.19/12.32 [512]~P23(x5121)+E(f21(f11(x5121),x5122,x5121),x5122)
% 12.19/12.32 [513]~P20(x5131)+E(f21(f11(x5131),x5132,x5131),x5132)
% 12.19/12.32 [515]~P48(x5151)+E(f20(f4(x5151),x5152,x5151),x5152)
% 12.19/12.32 [516]~P19(x5161)+E(f20(f4(x5161),x5162,x5161),x5162)
% 12.19/12.32 [517]~P24(x5171)+E(f20(f4(x5171),x5172,x5171),x5172)
% 12.19/12.32 [518]~P40(x5182)+E(f35(f4(a1),x5181,x5182),f4(x5182))
% 12.19/12.32 [519]~P47(x5192)+E(f35(f4(a1),x5191,x5192),f4(x5192))
% 12.19/12.32 [523]~P13(x5232)+~E(f28(f13(x5231,a39),x5232),f4(x5232))
% 12.19/12.32 [524]~P2(x5242)+E(f15(x5241,f4(x5242),x5242),f4(x5242))
% 12.19/12.32 [526]~P43(x5262)+E(f21(x5261,f4(x5262),x5262),f4(x5262))
% 12.19/12.32 [527]~P48(x5272)+E(f21(x5271,f4(x5272),x5272),f4(x5272))
% 12.19/12.32 [528]~P72(x5282)+E(f21(x5281,f4(x5282),x5282),f4(x5282))
% 12.19/12.32 [529]~P58(x5292)+E(f21(x5291,f4(x5292),x5292),f4(x5292))
% 12.19/12.32 [530]~P2(x5302)+E(f14(x5301,f11(x5302),x5302),f4(x5302))
% 12.19/12.32 [531]~P40(x5312)+E(f35(x5311,f4(x5312),x5312),f4(x5312))
% 12.19/12.32 [532]~P47(x5322)+E(f35(x5321,f4(x5322),x5322),f4(x5322))
% 12.19/12.32 [533]~P2(x5331)+E(f15(f4(x5331),x5332,x5331),f4(x5331))
% 12.19/12.32 [535]~P43(x5351)+E(f21(f4(x5351),x5352,x5351),f4(x5351))
% 12.19/12.32 [537]~P48(x5371)+E(f21(f4(x5371),x5372,x5371),f4(x5371))
% 12.19/12.32 [538]~P72(x5381)+E(f21(f4(x5381),x5382,x5381),f4(x5381))
% 12.19/12.32 [539]~P58(x5391)+E(f21(f4(x5391),x5392,x5391),f4(x5391))
% 12.19/12.32 [540]~P2(x5401)+E(f14(f4(x5401),x5402,x5401),f4(x5401))
% 12.19/12.32 [541]~P53(x5411)+E(f17(f4(x5411),x5412,x5411),f4(x5411))
% 12.19/12.32 [542]~P41(x5421)+E(f17(f4(x5421),x5422,x5421),f4(x5421))
% 12.19/12.32 [553]~P34(x5532)+E(f35(x5531,f11(x5532),x5532),f31(x5531,x5532))
% 12.19/12.32 [554]~P53(x5541)+E(f17(f11(x5541),x5542,x5541),f12(x5542,x5541))
% 12.19/12.32 [555]~P9(x5551)+E(f18(f4(x5551),x5552,x5551),f22(x5552,x5551))
% 12.19/12.32 [558]~P46(x5582)+E(f19(f31(x5581,x5582),x5582),f31(f19(x5581,a1),x5582))
% 12.19/12.32 [561]~P47(x5612)+E(f22(f19(x5611,x5612),x5612),f19(f22(x5611,x5612),x5612))
% 12.19/12.32 [570]~P9(x5702)+E(f20(x5701,f22(x5701,x5702),x5702),f4(x5702))
% 12.19/12.32 [572]~P9(x5722)+E(f20(f22(x5721,x5722),x5721,x5722),f4(x5722))
% 12.19/12.32 [573]~P11(x5732)+E(f20(f22(x5731,x5732),x5731,x5732),f4(x5732))
% 12.19/12.32 [597]~P62(x5972)+E(f21(x5971,f19(x5971,x5972),x5972),f16(x5971,x5972))
% 12.19/12.32 [620]~P62(x6202)+E(f21(f19(x6201,x6202),f16(x6201,x6202),x6202),x6201)
% 12.19/12.32 [662]~P63(x6621)+P5(f4(x6621),f28(f13(x6622,a39),x6621),x6621)
% 12.19/12.32 [675]~P26(x6752)+P4(f22(f16(x6751,x6752),x6752),f4(x6752),x6752)
% 12.19/12.32 [724]~P52(x7242)+E(f21(f22(x7241,x7242),f22(x7241,x7242),x7242),f21(x7241,x7241,x7242))
% 12.19/12.32 [725]~P62(x7252)+E(f21(f16(x7251,x7252),f16(x7251,x7252),x7252),f21(x7251,x7251,x7252))
% 12.19/12.32 [757]~P63(x7572)+P5(x7571,f20(x7571,f11(x7572),x7572),x7572)
% 12.19/12.32 [619]~P8(x6191)+E(f21(f22(f11(x6191),x6191),x6192,x6191),f22(x6192,x6191))
% 12.19/12.32 [684]~P39(x6842)+E(f35(f12(f32(x6841,x6842),a1),x6841,x6842),f19(x6841,x6842))
% 12.19/12.32 [878]~P32(x8781)+P5(f4(x8781),f12(f28(f13(x8782,a39),x8781),x8781),x8781)
% 12.19/12.32 [879]~P32(x8791)+P4(f4(x8791),f12(f28(f13(x8792,a39),x8791),x8791),x8791)
% 12.19/12.32 [889]~P48(x8892)+E(f20(x8891,x8891,x8892),f21(f20(f11(x8892),f11(x8892),x8892),x8891,x8892))
% 12.19/12.32 [460]E(x4601,x4602)+~E(f10(x4601,x4603),f31(x4602,a3))
% 12.19/12.32 [461]~E(f10(x4612,x4611),f26(x4613,a3))+E(x4611,f4(a1))
% 12.19/12.32 [462]~E(f10(x4622,x4621),f31(x4623,a3))+E(x4621,f4(a1))
% 12.19/12.32 [479]E(x4791,f26(x4792,a1))+~E(f10(x4791,x4793),f26(x4792,a3))
% 12.19/12.32 [625]~P48(x6253)+E(f21(x6251,x6252,x6253),f21(x6252,x6251,x6253))
% 12.19/12.32 [627]~P48(x6273)+E(f20(x6271,x6272,x6273),f20(x6272,x6271,x6273))
% 12.19/12.32 [628]~P19(x6283)+E(f20(x6281,x6282,x6283),f20(x6282,x6281,x6283))
% 12.19/12.32 [629]~P35(x6293)+E(f34(x6291,x6292,x6293),f34(x6292,x6291,x6293))
% 12.19/12.32 [729]~P35(x7293)+P4(f4(a1),f34(x7291,x7292,x7293),a1)
% 12.19/12.32 [899]~P35(x8991)+~P5(f34(x8992,x8993,x8991),f4(a1),a1)
% 12.19/12.32 [646]~P40(x6462)+E(f35(f4(a1),x6461,x6462),f35(f4(a1),x6463,x6462))
% 12.19/12.32 [650]~P40(x6502)+E(f35(x6501,f4(x6502),x6502),f35(x6503,f4(x6502),x6502))
% 12.19/12.32 [666]~P8(x6663)+E(f20(x6661,f22(x6662,x6663),x6663),f18(x6661,x6662,x6663))
% 12.19/12.32 [667]~P9(x6673)+E(f20(x6671,f22(x6672,x6673),x6673),f18(x6671,x6672,x6673))
% 12.19/12.32 [669]~P11(x6693)+E(f20(x6691,f22(x6692,x6693),x6693),f18(x6691,x6692,x6693))
% 12.19/12.32 [670]~P53(x6703)+E(f21(x6701,f12(x6702,x6703),x6703),f17(x6701,x6702,x6703))
% 12.19/12.32 [671]~P34(x6712)+E(f21(f31(x6711,x6712),x6713,x6712),f35(x6711,x6713,x6712))
% 12.19/12.32 [672]~P9(x6723)+E(f18(x6721,f22(x6722,x6723),x6723),f20(x6721,x6722,x6723))
% 12.19/12.32 [722]~P67(x7222)+E(f21(f22(x7221,x7222),x7223,x7222),f21(x7221,f22(x7223,x7222),x7222))
% 12.19/12.32 [723]~P67(x7232)+E(f21(f22(x7231,x7232),f22(x7233,x7232),x7232),f21(x7231,x7233,x7232))
% 12.19/12.32 [726]~P9(x7263)+E(f20(f18(x7261,x7262,x7263),x7262,x7263),x7261)
% 12.19/12.32 [727]~P9(x7273)+E(f18(f20(x7271,x7272,x7273),x7272,x7273),x7271)
% 12.19/12.32 [731]~P2(x7313)+E(f15(f14(x7311,x7312,x7313),x7312,x7313),f4(x7313))
% 12.19/12.32 [732]~P2(x7323)+E(f14(f21(x7321,x7322,x7323),x7322,x7323),f4(x7323))
% 12.19/12.32 [733]~P2(x7333)+E(f14(f21(x7331,x7332,x7333),x7331,x7333),f4(x7333))
% 12.19/12.32 [765]~P37(x7653)+E(f32(f18(x7651,x7652,x7653),x7653),f34(x7651,x7652,x7653))
% 12.19/12.32 [766]~P11(x7663)+E(f22(f18(x7661,x7662,x7663),x7663),f18(x7662,x7661,x7663))
% 12.19/12.32 [794]~P11(x7942)+E(f20(f22(x7941,x7942),f20(x7943,x7941,x7942),x7942),x7943)
% 12.19/12.32 [795]~P9(x7952)+E(f20(f22(x7951,x7952),f20(x7951,x7953,x7952),x7952),x7953)
% 12.19/12.32 [815]~P67(x8153)+E(f21(x8151,f22(x8152,x8153),x8153),f22(f21(x8151,x8152,x8153),x8153))
% 12.19/12.32 [816]~P67(x8162)+E(f21(f22(x8161,x8162),x8163,x8162),f22(f21(x8161,x8163,x8162),x8162))
% 12.19/12.32 [817]~P53(x8172)+E(f17(f22(x8171,x8172),x8173,x8172),f22(f17(x8171,x8173,x8172),x8172))
% 12.19/12.32 [819]~P43(x8193)+E(f21(x8191,f22(x8192,x8193),x8193),f22(f21(x8191,x8192,x8193),x8193))
% 12.19/12.32 [820]~P40(x8203)+E(f35(x8201,f22(x8202,x8203),x8203),f22(f35(x8201,x8202,x8203),x8203))
% 12.19/12.32 [821]~P47(x8213)+E(f35(x8211,f22(x8212,x8213),x8213),f22(f35(x8211,x8212,x8213),x8213))
% 12.19/12.32 [823]~P43(x8232)+E(f21(f22(x8231,x8232),x8233,x8232),f22(f21(x8231,x8233,x8232),x8232))
% 12.19/12.32 [824]~P41(x8242)+E(f17(f22(x8241,x8242),x8243,x8242),f22(f17(x8241,x8243,x8242),x8242))
% 12.19/12.32 [851]~P16(x8513)+E(f21(x8511,f21(x8511,x8512,x8513),x8513),f21(x8511,x8512,x8513))
% 12.19/12.32 [852]~P2(x8523)+E(f14(f14(x8521,x8522,x8523),x8522,x8523),f14(x8521,x8522,x8523))
% 12.19/12.32 [853]~P2(x8533)+E(f14(f20(x8531,x8532,x8533),x8532,x8533),f14(x8531,x8532,x8533))
% 12.19/12.32 [854]~P2(x8543)+E(f14(f20(x8541,x8542,x8543),x8541,x8543),f14(x8542,x8541,x8543))
% 12.19/12.32 [859]~P47(x8593)+E(f35(f19(x8591,a1),f19(x8592,x8593),x8593),f19(f35(x8591,x8592,x8593),x8593))
% 12.19/12.32 [860]~P34(x8602)+E(f21(f31(x8601,x8602),f31(x8603,x8602),x8602),f31(f21(x8601,x8603,a1),x8602))
% 12.19/12.32 [863]~P45(x8632)+E(f21(f32(x8631,x8632),f32(x8633,x8632),a1),f32(f21(x8631,x8633,x8632),x8632))
% 12.19/12.32 [864]~P62(x8642)+E(f21(f19(x8641,x8642),f19(x8643,x8642),x8642),f19(f21(x8641,x8643,x8642),x8642))
% 12.19/12.32 [865]~P45(x8652)+E(f21(f19(x8651,x8652),f19(x8653,x8652),x8652),f19(f21(x8651,x8653,x8652),x8652))
% 12.19/12.32 [866]~P9(x8662)+E(f20(f22(x8661,x8662),f22(x8663,x8662),x8662),f22(f20(x8663,x8661,x8662),x8662))
% 12.19/12.32 [867]~P11(x8672)+E(f20(f22(x8671,x8672),f22(x8673,x8672),x8672),f22(f20(x8671,x8673,x8672),x8672))
% 12.19/12.32 [868]~P62(x8682)+E(f21(f16(x8681,x8682),f16(x8683,x8682),x8682),f16(f21(x8681,x8683,x8682),x8682))
% 12.19/12.32 [869]~P11(x8692)+E(f18(f22(x8691,x8692),f22(x8693,x8692),x8692),f22(f18(x8691,x8693,x8692),x8692))
% 12.19/12.32 [890]~P47(x8903)+E(f32(f18(x8901,x8902,x8903),x8903),f32(f18(x8902,x8901,x8903),x8903))
% 12.19/12.32 [891]~P26(x8913)+E(f16(f18(x8911,x8912,x8913),x8913),f16(f18(x8912,x8911,x8913),x8913))
% 12.19/12.32 [1179]~P2(x11793)+E(f20(f21(x11791,f15(x11792,x11791,x11793),x11793),f14(x11792,x11791,x11793),x11793),x11792)
% 12.19/12.32 [1180]~P2(x11803)+E(f20(f21(f15(x11801,x11802,x11803),x11802,x11803),f14(x11801,x11802,x11803),x11803),x11801)
% 12.19/12.32 [1185]~P43(x11853)+P4(f32(f21(x11851,x11852,x11853),x11853),f21(f32(x11851,x11853),f32(x11852,x11853),a1),a1)
% 12.19/12.32 [1187]~P55(x11873)+P4(f16(f21(x11871,x11872,x11873),x11873),f21(f16(x11871,x11873),f16(x11872,x11873),x11873),x11873)
% 12.19/12.32 [1188]~P26(x11883)+P4(f16(f20(x11881,x11882,x11883),x11883),f20(f16(x11881,x11883),f16(x11882,x11883),x11883),x11883)
% 12.19/12.32 [1189]~P26(x11893)+P4(f16(f18(x11891,x11892,x11893),x11893),f20(f16(x11891,x11893),f16(x11892,x11893),x11893),x11893)
% 12.19/12.32 [1190]~P26(x11902)+P4(f18(f16(x11901,x11902),f16(x11903,x11902),x11902),f16(f18(x11901,x11903,x11902),x11902),x11902)
% 12.19/12.32 [1275]~P61(x12751)+P4(f4(x12751),f20(f21(x12752,x12752,x12751),f21(x12753,x12753,x12751),x12751),x12751)
% 12.19/12.32 [1371]~P61(x13711)+~P5(f20(f21(x13712,x13712,x13711),f21(x13713,x13713,x13711),x13711),f4(x13711),x13711)
% 12.19/12.32 [850]~P9(x8502)+E(f20(x8501,f20(f22(x8501,x8502),x8503,x8502),x8502),x8503)
% 12.19/12.32 [940]~P2(x9401)+E(f15(f21(f4(x9401),x9402,x9401),f21(f4(x9401),x9403,x9401),x9401),f4(x9401))
% 12.19/12.32 [994]~P26(x9942)+E(f16(f20(f16(x9941,x9942),f16(x9943,x9942),x9942),x9942),f20(f16(x9941,x9942),f16(x9943,x9942),x9942))
% 12.19/12.32 [998]~P48(x9983)+E(f20(x9981,f21(x9982,x9981,x9983),x9983),f21(f20(x9982,f11(x9983),x9983),x9981,x9983))
% 12.19/12.32 [999]~P48(x9993)+E(f20(f21(x9991,x9992,x9993),x9992,x9993),f21(f20(x9991,f11(x9993),x9993),x9992,x9993))
% 12.19/12.32 [1068]~P3(x10683)+E(f14(f22(f14(x10681,x10682,x10683),x10683),x10682,x10683),f14(f22(x10681,x10683),x10682,x10683))
% 12.19/12.32 [1178]~P2(x11783)+E(f20(f14(x11781,x11782,x11783),f21(f15(x11781,x11782,x11783),x11782,x11783),x11783),x11781)
% 12.19/12.32 [1335]~P26(x13352)+P4(f16(f18(f16(x13351,x13352),f16(x13353,x13352),x13352),x13352),f16(f18(x13351,x13353,x13352),x13352),x13352)
% 12.19/12.32 [463]E(x4631,x4632)+~E(f10(x4633,x4631),f10(x4634,x4632))
% 12.19/12.32 [464]E(x4641,x4642)+~E(f10(x4641,x4643),f10(x4642,x4644))
% 12.19/12.32 [958]~P40(x9584)+E(f35(x9581,f35(x9582,x9583,x9584),x9584),f35(f21(x9581,x9582,a1),x9583,x9584))
% 12.19/12.32 [960]~P48(x9604)+E(f21(x9601,f21(x9602,x9603,x9604),x9604),f21(x9602,f21(x9601,x9603,x9604),x9604))
% 12.19/12.32 [961]~P48(x9614)+E(f20(x9611,f20(x9612,x9613,x9614),x9614),f20(x9612,f20(x9611,x9613,x9614),x9614))
% 12.19/12.32 [962]~P11(x9624)+E(f20(x9621,f20(x9622,x9623,x9624),x9624),f20(x9622,f20(x9621,x9623,x9624),x9624))
% 12.19/12.32 [963]~P19(x9634)+E(f20(x9631,f20(x9632,x9633,x9634),x9634),f20(x9632,f20(x9631,x9633,x9634),x9634))
% 12.19/12.32 [965]~P43(x9654)+E(f35(x9651,f21(x9652,x9653,x9654),x9654),f21(x9652,f35(x9651,x9653,x9654),x9654))
% 12.19/12.32 [966]~P38(x9664)+E(f35(x9661,f21(x9662,x9663,x9664),x9664),f21(x9662,f35(x9661,x9663,x9664),x9664))
% 12.19/12.32 [967]~P40(x9674)+E(f35(x9671,f35(x9672,x9673,x9674),x9674),f35(x9672,f35(x9671,x9673,x9674),x9674))
% 12.19/12.32 [969]~P47(x9694)+E(f35(x9691,f35(x9692,x9693,x9694),x9694),f35(x9692,f35(x9691,x9693,x9694),x9694))
% 12.19/12.32 [974]~P10(x9743)+E(f21(f21(x9741,x9742,x9743),x9744,x9743),f21(x9741,f21(x9742,x9744,x9743),x9743))
% 12.19/12.32 [975]~P48(x9753)+E(f21(f21(x9751,x9752,x9753),x9754,x9753),f21(x9751,f21(x9752,x9754,x9753),x9753))
% 12.19/12.32 [977]~P43(x9774)+E(f35(x9771,f21(x9772,x9773,x9774),x9774),f21(f35(x9771,x9772,x9774),x9773,x9774))
% 12.19/12.32 [978]~P38(x9784)+E(f35(x9781,f21(x9782,x9783,x9784),x9784),f21(f35(x9781,x9782,x9784),x9783,x9784))
% 12.19/12.32 [979]~P48(x9793)+E(f20(f20(x9791,x9792,x9793),x9794,x9793),f20(x9791,f20(x9792,x9794,x9793),x9793))
% 12.19/12.32 [980]~P19(x9803)+E(f20(f20(x9801,x9802,x9803),x9804,x9803),f20(x9801,f20(x9802,x9804,x9803),x9803))
% 12.19/12.32 [981]~P15(x9813)+E(f20(f20(x9811,x9812,x9813),x9814,x9813),f20(x9811,f20(x9812,x9814,x9813),x9813))
% 12.19/12.32 [982]~P41(x9824)+E(f35(x9821,f17(x9822,x9823,x9824),x9824),f17(f35(x9821,x9822,x9824),x9823,x9824))
% 12.19/12.32 [983]~P48(x9833)+E(f21(f21(x9831,x9832,x9833),x9834,x9833),f21(f21(x9831,x9834,x9833),x9832,x9833))
% 12.19/12.32 [984]~P48(x9843)+E(f20(f20(x9841,x9842,x9843),x9844,x9843),f20(f20(x9841,x9844,x9843),x9842,x9843))
% 12.19/12.32 [1112]~P43(x11123)+E(f20(f21(x11121,x11122,x11123),f21(x11121,x11124,x11123),x11123),f21(x11121,f20(x11122,x11124,x11123),x11123))
% 12.19/12.32 [1113]~P48(x11133)+E(f20(f21(x11131,x11132,x11133),f21(x11131,x11134,x11133),x11133),f21(x11131,f20(x11132,x11134,x11133),x11133))
% 12.19/12.32 [1115]~P43(x11153)+E(f18(f21(x11151,x11152,x11153),f21(x11151,x11154,x11153),x11153),f21(x11151,f18(x11152,x11154,x11153),x11153))
% 12.19/12.32 [1116]~P40(x11163)+E(f20(f35(x11161,x11162,x11163),f35(x11161,x11164,x11163),x11163),f35(x11161,f20(x11162,x11164,x11163),x11163))
% 12.19/12.32 [1117]~P47(x11173)+E(f20(f35(x11171,x11172,x11173),f35(x11171,x11174,x11173),x11173),f35(x11171,f20(x11172,x11174,x11173),x11173))
% 12.19/12.32 [1118]~P40(x11183)+E(f18(f35(x11181,x11182,x11183),f35(x11181,x11184,x11183),x11183),f35(x11181,f18(x11182,x11184,x11183),x11183))
% 12.19/12.32 [1119]~P47(x11193)+E(f18(f35(x11191,x11192,x11193),f35(x11191,x11194,x11193),x11193),f35(x11191,f18(x11192,x11194,x11193),x11193))
% 12.19/12.32 [1121]~P43(x11213)+E(f20(f21(x11211,x11212,x11213),f21(x11214,x11212,x11213),x11213),f21(f20(x11211,x11214,x11213),x11212,x11213))
% 12.19/12.32 [1123]~P49(x11233)+E(f20(f21(x11231,x11232,x11233),f21(x11234,x11232,x11233),x11233),f21(f20(x11231,x11234,x11233),x11232,x11233))
% 12.19/12.32 [1125]~P43(x11253)+E(f18(f21(x11251,x11252,x11253),f21(x11254,x11252,x11253),x11253),f21(f18(x11251,x11254,x11253),x11252,x11253))
% 12.19/12.32 [1126]~P53(x11263)+E(f20(f17(x11261,x11262,x11263),f17(x11264,x11262,x11263),x11263),f17(f20(x11261,x11264,x11263),x11262,x11263))
% 12.19/12.32 [1127]~P41(x11273)+E(f20(f17(x11271,x11272,x11273),f17(x11274,x11272,x11273),x11273),f17(f20(x11271,x11274,x11273),x11272,x11273))
% 12.19/12.32 [1128]~P53(x11283)+E(f18(f17(x11281,x11282,x11283),f17(x11284,x11282,x11283),x11283),f17(f18(x11281,x11284,x11283),x11282,x11283))
% 12.19/12.32 [1129]~P41(x11293)+E(f18(f17(x11291,x11292,x11293),f17(x11294,x11292,x11293),x11293),f17(f18(x11291,x11294,x11293),x11292,x11293))
% 12.19/12.32 [1130]~P2(x11303)+E(f14(f21(x11301,x11302,x11303),f21(x11301,x11304,x11303),x11303),f21(x11301,f14(x11302,x11304,x11303),x11303))
% 12.19/12.32 [1131]~P2(x11313)+E(f14(f21(x11311,x11312,x11313),f21(x11314,x11312,x11313),x11313),f21(f14(x11311,x11314,x11313),x11312,x11313))
% 12.19/12.32 [1132]~P48(x11323)+E(f20(f21(x11321,x11322,x11323),f21(x11324,x11322,x11323),x11323),f21(f20(x11321,x11324,x11323),x11322,x11323))
% 12.19/12.32 [1109]~P2(x11094)+E(f14(f20(x11091,f21(x11092,x11093,x11094),x11094),x11093,x11094),f14(x11091,x11093,x11094))
% 12.19/12.32 [1110]~P2(x11104)+E(f14(f20(x11101,f21(x11102,x11103,x11104),x11104),x11102,x11104),f14(x11101,x11102,x11104))
% 12.19/12.32 [1210]~P2(x12104)+E(f14(f21(x12101,f14(x12102,x12103,x12104),x12104),x12103,x12104),f14(f21(x12101,x12102,x12104),x12103,x12104))
% 12.19/12.32 [1212]~P3(x12124)+E(f14(f18(x12121,f14(x12122,x12123,x12124),x12124),x12123,x12124),f14(f18(x12121,x12122,x12124),x12123,x12124))
% 12.19/12.32 [1215]~P3(x12153)+E(f14(f18(f14(x12151,x12152,x12153),x12154,x12153),x12152,x12153),f14(f18(x12151,x12154,x12153),x12152,x12153))
% 12.19/12.32 [1216]~P2(x12164)+E(f14(f20(x12161,f14(x12162,x12163,x12164),x12164),x12163,x12164),f14(f20(x12161,x12162,x12164),x12163,x12164))
% 12.19/12.32 [1217]~P2(x12173)+E(f14(f21(f14(x12171,x12172,x12173),x12174,x12173),x12172,x12173),f14(f21(x12171,x12174,x12173),x12172,x12173))
% 12.19/12.32 [1218]~P2(x12183)+E(f14(f20(f14(x12181,x12182,x12183),x12184,x12183),x12182,x12183),f14(f20(x12181,x12184,x12183),x12182,x12183))
% 12.19/12.32 [1344]~P2(x13443)+E(f14(f21(f14(x13441,x13442,x13443),f14(x13444,x13442,x13443),x13443),x13442,x13443),f14(f21(x13441,x13444,x13443),x13442,x13443))
% 12.19/12.32 [1345]~P2(x13453)+E(f14(f20(f14(x13451,x13452,x13453),f14(x13454,x13452,x13453),x13453),x13452,x13453),f14(f20(x13451,x13454,x13453),x13452,x13453))
% 12.19/12.32 [1346]~P3(x13463)+E(f14(f18(f14(x13461,x13462,x13463),f14(x13464,x13462,x13463),x13463),x13462,x13463),f14(f18(x13461,x13464,x13463),x13462,x13463))
% 12.19/12.32 [1393]~P2(x13933)+E(f20(f20(f21(x13931,f15(x13932,x13931,x13933),x13933),f14(x13932,x13931,x13933),x13933),x13934,x13933),f20(x13932,x13934,x13933))
% 12.19/12.32 [1394]~P2(x13943)+E(f20(f20(f21(f15(x13941,x13942,x13943),x13942,x13943),f14(x13941,x13942,x13943),x13943),x13944,x13943),f20(x13941,x13944,x13943))
% 12.19/12.32 [1219]~P48(x12193)+E(f21(f21(x12191,x12192,x12193),f21(x12194,x12195,x12193),x12193),f21(f21(x12191,x12194,x12193),f21(x12192,x12195,x12193),x12193))
% 12.19/12.32 [1220]~P48(x12203)+E(f20(f20(x12201,x12202,x12203),f20(x12204,x12205,x12203),x12203),f20(f20(x12201,x12204,x12203),f20(x12202,x12205,x12203),x12203))
% 12.19/12.32 [1221]~P11(x12213)+E(f20(f18(x12211,x12212,x12213),f18(x12214,x12215,x12213),x12213),f18(f20(x12211,x12214,x12213),f20(x12212,x12215,x12213),x12213))
% 12.19/12.32 [1366]~P71(x13663)+E(f20(f21(x13661,x13662,x13663),f20(f21(x13664,x13662,x13663),x13665,x13663),x13663),f20(f21(f20(x13661,x13664,x13663),x13662,x13663),x13665,x13663))
% 12.19/12.32 [1408]~P26(x14083)+P4(f16(f18(f20(x14081,x14082,x14083),f20(x14084,x14085,x14083),x14083),x14083),f20(f16(f18(x14081,x14084,x14083),x14083),f16(f18(x14082,x14085,x14083),x14083),x14083),x14083)
% 12.19/12.32 [1409]~P43(x14093)+E(f20(f20(f21(f18(x14091,x14092,x14093),f18(x14094,x14095,x14093),x14093),f21(f18(x14091,x14092,x14093),x14095,x14093),x14093),f21(x14092,f18(x14094,x14095,x14093),x14093),x14093),f18(f21(x14091,x14094,x14093),f21(x14092,x14095,x14093),x14093))
% 12.19/12.32 [1396]~P67(x13963)+E(f20(f21(x13961,x13962,x13963),f20(f21(f18(x13964,x13961,x13963),x13962,x13963),x13965,x13963),x13963),f20(f21(x13964,x13962,x13963),x13965,x13963))
% 12.19/12.32 [1407]~P44(x14074)+E(f20(f21(x14071,f17(f18(x14072,x14073,x14074),x14075,x14074),x14074),f21(f17(f18(x14071,x14076,x14074),x14075,x14074),x14073,x14074),x14074),f17(f18(f21(x14071,x14072,x14074),f21(x14076,x14073,x14074),x14074),x14075,x14074))
% 12.19/12.32 [861]~P5(x8611,a23,a1)+~P5(f4(a1),x8611,a1)+P5(f4(a1),f37(x8611),a1)
% 12.19/12.32 [862]~P4(x8621,a23,a1)+~P4(f4(a1),x8621,a1)+P4(f4(a1),f37(x8621),a1)
% 12.19/12.32 [894]~P5(x8941,f11(a1),a1)+~P5(f4(a1),x8941,a1)+P5(f11(a1),f12(x8941,a1),a1)
% 12.19/12.32 [449]~P33(x4491)+~P53(x4491)+E(f12(f11(x4491),x4491),f11(x4491))
% 12.19/12.32 [450]~P41(x4501)+~P74(x4501)+E(f36(f4(x4501),x4501),f11(x4501))
% 12.19/12.32 [767]~P30(x7671)+~P4(f4(x7671),f4(x7671),x7671)+E(f20(f4(x7671),f4(x7671),x7671),f4(x7671))
% 12.19/12.32 [661]E(x6611,x6612)+P5(x6611,x6612,a1)+~P4(x6611,x6612,a1)
% 12.19/12.32 [728]E(x7281,x7282)+~P4(x7282,x7281,a1)+~P4(x7281,x7282,a1)
% 12.19/12.32 [427]E(x4271,x4272)+~E(f6(x4271),f6(x4272))+~E(f7(x4271),f7(x4272))
% 12.19/12.32 [447]~P25(x4472)+~E(f22(x4471,x4472),x4471)+E(x4471,f4(x4472))
% 12.19/12.32 [451]~P47(x4512)+E(x4511,f4(x4512))+~E(f32(x4511,x4512),f4(a1))
% 12.19/12.32 [452]~P34(x4522)+~E(f31(x4521,x4522),f4(x4522))+E(x4521,f4(a1))
% 12.19/12.32 [453]~P51(x4532)+~E(f12(x4531,x4532),f4(x4532))+E(x4531,f4(x4532))
% 12.19/12.32 [454]~P47(x4542)+~E(f19(x4541,x4542),f4(x4542))+E(x4541,f4(x4542))
% 12.19/12.32 [455]~P62(x4552)+~E(f19(x4551,x4552),f4(x4552))+E(x4551,f4(x4552))
% 12.19/12.32 [456]~P9(x4562)+~E(f22(x4561,x4562),f4(x4562))+E(x4561,f4(x4562))
% 12.19/12.32 [457]~P26(x4572)+~E(f16(x4571,x4572),f4(x4572))+E(x4571,f4(x4572))
% 12.19/12.32 [458]~P9(x4581)+~E(f22(x4582,x4581),f4(x4581))+E(f4(x4581),x4582)
% 12.19/12.32 [459]~P41(x4592)+~P74(x4592)+~E(f36(x4591,x4592),f4(x4592))
% 12.19/12.32 [520]~P2(x5202)+E(f15(x5201,x5201,x5202),f11(x5202))+E(x5201,f4(x5202))
% 12.19/12.32 [522]~P53(x5222)+E(f17(x5221,x5221,x5222),f11(x5222))+E(x5221,f4(x5222))
% 12.19/12.32 [543]~P52(x5432)+~P8(x5432)+E(f18(x5431,x5431,x5432),f4(x5432))
% 12.19/12.32 [557]~P50(x5572)+P5(x5571,f4(x5572),x5572)+E(f16(x5571,x5572),x5571)
% 12.19/12.32 [574]~P21(x5741)+P4(f4(x5741),x5742,x5741)+~E(f33(x5742,x5741),x5742)
% 12.19/12.32 [588]~P47(x5882)+E(x5881,f4(x5882))+P5(f4(a1),f32(x5881,x5882),a1)
% 12.19/12.32 [589]~P21(x5892)+P4(x5891,f4(x5892),x5892)+~E(f33(x5891,x5892),f4(x5892))
% 12.19/12.32 [590]~P62(x5901)+P5(f4(x5901),x5902,x5901)+~E(f19(x5902,x5901),f11(x5901))
% 12.19/12.32 [595]~P26(x5952)+P5(f4(x5952),f16(x5951,x5952),x5952)+E(x5951,f4(x5952))
% 12.19/12.32 [603]~P21(x6032)+~E(f20(x6031,x6031,x6032),f4(x6032))+E(x6031,f4(x6032))
% 12.19/12.32 [635]~P26(x6352)+~P5(f4(x6352),x6351,x6352)+E(f16(x6351,x6352),x6351)
% 12.19/12.32 [636]~P26(x6362)+~P4(f4(x6362),x6361,x6362)+E(f16(x6361,x6362),x6361)
% 12.19/12.32 [637]~P21(x6372)+~P4(f4(x6372),x6371,x6372)+E(f33(x6371,x6372),x6371)
% 12.19/12.32 [643]~P21(x6432)+~P4(x6431,f4(x6432),x6432)+E(f33(x6431,x6432),f4(x6432))
% 12.19/12.32 [644]~P62(x6442)+~P5(f4(x6442),x6441,x6442)+E(f19(x6441,x6442),f11(x6442))
% 12.19/12.32 [651]E(f27(x6511,x6512),f4(a1))+P5(x6512,f4(a1),a1)+P5(f4(a1),x6512,a1)
% 12.19/12.32 [652]~P26(x6522)+~P5(x6521,f4(x6522),x6522)+E(f16(x6521,x6522),f22(x6521,x6522))
% 12.19/12.32 [653]~P26(x6532)+~P4(x6531,f4(x6532),x6532)+E(f16(x6531,x6532),f22(x6531,x6532))
% 12.19/12.32 [654]~P50(x6542)+~P5(x6541,f4(x6542),x6542)+E(f16(x6541,x6542),f22(x6541,x6542))
% 12.19/12.32 [665]~P47(x6652)+E(x6651,f4(x6652))+~P4(f32(x6651,x6652),f4(a1),a1)
% 12.19/12.32 [678]~P26(x6782)+~P4(f16(x6781,x6782),f4(x6782),x6782)+E(x6781,f4(x6782))
% 12.19/12.32 [768]~P62(x7682)+~P5(x7681,f4(x7682),x7682)+P5(x7681,f22(x7681,x7682),x7682)
% 12.19/12.32 [769]~P21(x7692)+~P4(x7691,f4(x7692),x7692)+P4(x7691,f22(x7691,x7692),x7692)
% 12.19/12.32 [770]~P25(x7702)+~P4(x7701,f4(x7702),x7702)+P4(x7701,f22(x7701,x7702),x7702)
% 12.19/12.32 [771]~P21(x7712)+~P4(f4(x7712),x7711,x7712)+P4(f22(x7711,x7712),x7711,x7712)
% 12.19/12.32 [772]~P25(x7722)+~P4(f4(x7722),x7721,x7722)+P4(f22(x7721,x7722),x7721,x7722)
% 12.19/12.32 [779]~P6(x7791)+~P5(x7792,f4(x7791),x7791)+P5(f4(x7791),f22(x7792,x7791),x7791)
% 12.19/12.32 [780]~P6(x7801)+~P4(x7802,f4(x7801),x7801)+P4(f4(x7801),f22(x7802,x7801),x7801)
% 12.19/12.32 [781]~P32(x7811)+~P5(f4(x7811),x7812,x7811)+P5(f4(x7811),f12(x7812,x7811),x7811)
% 12.19/12.32 [782]~P62(x7821)+~P5(f4(x7821),x7822,x7821)+P5(f4(x7821),f19(x7822,x7821),x7821)
% 12.19/12.32 [783]~P32(x7832)+~P5(x7831,f4(x7832),x7832)+P5(f12(x7831,x7832),f4(x7832),x7832)
% 12.19/12.32 [784]~P62(x7842)+~P5(x7841,f4(x7842),x7842)+P5(f19(x7841,x7842),f4(x7842),x7842)
% 12.19/12.32 [785]~P6(x7852)+~P5(f4(x7852),x7851,x7852)+P5(f22(x7851,x7852),f4(x7852),x7852)
% 12.19/12.32 [786]~P6(x7862)+~P4(f4(x7862),x7861,x7862)+P4(f22(x7861,x7862),f4(x7862),x7862)
% 12.19/12.32 [789]~P62(x7892)+~P5(x7891,f22(x7891,x7892),x7892)+P5(x7891,f4(x7892),x7892)
% 12.19/12.32 [790]~P21(x7902)+~P4(x7901,f22(x7901,x7902),x7902)+P4(x7901,f4(x7902),x7902)
% 12.19/12.32 [791]~P25(x7912)+~P4(x7911,f22(x7911,x7912),x7912)+P4(x7911,f4(x7912),x7912)
% 12.19/12.32 [792]~P21(x7921)+~P4(f22(x7922,x7921),x7922,x7921)+P4(f4(x7921),x7922,x7921)
% 12.19/12.32 [793]~P25(x7931)+~P4(f22(x7932,x7931),x7932,x7931)+P4(f4(x7931),x7932,x7931)
% 12.19/12.32 [809]~P6(x8092)+~P5(f4(x8092),f22(x8091,x8092),x8092)+P5(x8091,f4(x8092),x8092)
% 12.19/12.32 [810]~P6(x8102)+~P4(f4(x8102),f22(x8101,x8102),x8102)+P4(x8101,f4(x8102),x8102)
% 12.19/12.32 [811]~P62(x8112)+~P5(f19(x8111,x8112),f4(x8112),x8112)+P5(x8111,f4(x8112),x8112)
% 12.19/12.32 [812]~P62(x8121)+~P5(f4(x8121),f19(x8122,x8121),x8121)+P5(f4(x8121),x8122,x8121)
% 12.19/12.32 [813]~P6(x8131)+~P5(f22(x8132,x8131),f4(x8131),x8131)+P5(f4(x8131),x8132,x8131)
% 12.19/12.32 [814]~P6(x8141)+~P4(f22(x8142,x8141),f4(x8141),x8141)+P4(f4(x8141),x8142,x8141)
% 12.19/12.32 [895]~P4(f4(a1),x8952,a1)+~P4(f11(a1),x8951,a1)+P4(f11(a1),f25(x8951,x8952),a1)
% 12.19/12.32 [901]~P21(x9011)+~P5(f4(x9011),x9012,x9011)+P5(f4(x9011),f20(x9012,x9012,x9011),x9011)
% 12.19/12.32 [902]~P21(x9021)+~P4(f4(x9021),x9022,x9021)+P4(f4(x9021),f20(x9022,x9022,x9021),x9021)
% 12.19/12.32 [903]~P21(x9032)+~P5(x9031,f4(x9032),x9032)+P5(f20(x9031,x9031,x9032),f4(x9032),x9032)
% 12.19/12.32 [904]~P62(x9042)+~P5(x9041,f4(x9042),x9042)+P5(f20(x9041,x9041,x9042),f4(x9042),x9042)
% 12.19/12.32 [905]~P21(x9052)+~P4(x9051,f4(x9052),x9052)+P4(f20(x9051,x9051,x9052),f4(x9052),x9052)
% 12.19/12.32 [985]~P21(x9852)+~P5(f20(x9851,x9851,x9852),f4(x9852),x9852)+P5(x9851,f4(x9852),x9852)
% 12.19/12.32 [986]~P62(x9862)+~P5(f20(x9861,x9861,x9862),f4(x9862),x9862)+P5(x9861,f4(x9862),x9862)
% 12.19/12.32 [987]~P21(x9872)+~P4(f20(x9871,x9871,x9872),f4(x9872),x9872)+P4(x9871,f4(x9872),x9872)
% 12.19/12.32 [988]~P21(x9881)+~P5(f4(x9881),f20(x9882,x9882,x9881),x9881)+P5(f4(x9881),x9882,x9881)
% 12.19/12.32 [989]~P21(x9891)+~P4(f4(x9891),f20(x9892,x9892,x9891),x9891)+P4(f4(x9891),x9892,x9891)
% 12.19/12.32 [993]~P5(f4(a1),x9932,a1)+~P5(f4(a1),x9931,a1)+P5(f4(a1),f21(x9931,x9932,a1),a1)
% 12.19/12.32 [472]~P51(x4722)+E(x4721,f4(x4722))+E(f12(f12(x4721,x4722),x4722),x4721)
% 12.19/12.32 [477]~P47(x4772)+E(x4771,f4(x4772))+E(f32(f19(x4771,x4772),x4772),f11(a1))
% 12.19/12.32 [478]~P33(x4782)+~P51(x4782)+E(f12(f12(x4781,x4782),x4782),x4781)
% 12.19/12.32 [495]~P34(x4952)+~P8(x4952)+E(f31(f26(x4951,a1),x4952),f26(x4951,x4952))
% 12.19/12.32 [546]~P52(x5462)+~P8(x5462)+E(f20(x5461,f4(x5462),x5462),x5461)
% 12.19/12.32 [551]~P33(x5512)+~P53(x5512)+E(f17(x5511,f4(x5512),x5512),f4(x5512))
% 12.19/12.32 [564]~P42(x5642)+E(x5641,f4(a1))+E(f12(f31(x5641,x5642),x5642),f31(f12(x5641,a1),x5642))
% 12.19/12.32 [568]~P45(x5682)+E(x5681,f4(x5682))+E(f32(f12(x5681,x5682),x5682),f12(f32(x5681,x5682),a1))
% 12.19/12.32 [569]~P33(x5692)+~P42(x5692)+E(f12(f31(x5691,x5692),x5692),f31(f12(x5691,a1),x5692))
% 12.19/12.32 [575]~P51(x5752)+E(x5751,f4(x5752))+E(f22(f12(x5751,x5752),x5752),f12(f22(x5751,x5752),x5752))
% 12.19/12.32 [576]~P32(x5762)+E(x5761,f4(x5762))+E(f16(f12(x5761,x5762),x5762),f12(f16(x5761,x5762),x5762))
% 12.19/12.32 [577]~P33(x5772)+~P45(x5772)+E(f32(f12(x5771,x5772),x5772),f12(f32(x5771,x5772),a1))
% 12.19/12.32 [585]~P33(x5852)+~P51(x5852)+E(f22(f12(x5851,x5852),x5852),f12(f22(x5851,x5852),x5852))
% 12.19/12.32 [586]~P32(x5862)+~P33(x5862)+E(f16(f12(x5861,x5862),x5862),f12(f16(x5861,x5862),x5862))
% 12.19/12.32 [587]~P41(x5872)+~P74(x5872)+E(f36(f22(x5871,x5872),x5872),f12(f36(x5871,x5872),x5872))
% 12.19/12.32 [591]~P51(x5912)+E(x5911,f4(x5912))+E(f21(x5911,f12(x5911,x5912),x5912),f11(x5912))
% 12.19/12.32 [592]~P51(x5922)+E(x5921,f4(x5922))+E(f21(f12(x5921,x5922),x5921,x5922),f11(x5922))
% 12.19/12.32 [593]~P53(x5932)+E(x5931,f4(x5932))+E(f21(f12(x5931,x5932),x5931,x5932),f11(x5932))
% 12.19/12.32 [645]~P62(x6452)+P5(x6451,f4(x6452),x6452)+~E(f19(x6451,x6452),f22(f11(x6452),x6452))
% 12.19/12.32 [659]~P62(x6592)+~P5(x6591,f4(x6592),x6592)+E(f19(x6591,x6592),f22(f11(x6592),x6592))
% 12.19/12.32 [788]~P33(x7881)+~P53(x7881)+E(f17(f21(f4(x7881),x7882,x7881),x7882,x7881),f4(x7881))
% 12.19/12.32 [632]P4(x6322,x6321,x6323)+~P27(x6323)+P5(x6321,x6322,x6323)
% 12.19/12.32 [634]P4(x6342,x6341,x6343)+~P27(x6343)+P4(x6341,x6342,x6343)
% 12.19/12.32 [676]~P1(x6763)+~P5(x6761,x6762,x6763)+P4(x6761,x6762,x6763)
% 12.19/12.32 [677]~P36(x6773)+~P5(x6771,x6772,x6773)+P4(x6771,x6772,x6773)
% 12.19/12.32 [744]~P5(x7443,x7442,x7441)+~P1(x7441)+~P5(x7442,x7443,x7441)
% 12.19/12.32 [745]~P5(x7453,x7452,x7451)+~P27(x7451)+~P5(x7452,x7453,x7451)
% 12.19/12.32 [747]~P4(x7473,x7472,x7471)+~P27(x7471)+~P5(x7472,x7473,x7471)
% 12.19/12.32 [750]~P5(x7503,x7502,x7501)+~P36(x7501)+~P5(x7502,x7503,x7501)
% 12.19/12.32 [751]~P4(x7513,x7512,x7511)+~P36(x7511)+~P5(x7512,x7513,x7511)
% 12.19/12.32 [849]~P4(x8491,x8493,a1)+P4(x8491,x8492,a1)+~P4(x8493,x8492,a1)
% 12.19/12.32 [473]~P34(x4733)+E(x4731,x4732)+~E(f31(x4731,x4733),f31(x4732,x4733))
% 12.19/12.32 [474]~P9(x4743)+E(x4741,x4742)+~E(f22(x4741,x4743),f22(x4742,x4743))
% 12.19/12.32 [475]~P14(x4753)+E(x4751,x4752)+~E(f22(x4751,x4753),f22(x4752,x4753))
% 12.19/12.32 [476]~P13(x4763)+E(x4761,x4762)+~E(f28(x4761,x4763),f28(x4762,x4763))
% 12.19/12.32 [594]~P35(x5943)+E(x5941,x5942)+~E(f34(x5941,x5942,x5943),f4(a1))
% 12.19/12.32 [599]~P9(x5993)+E(x5991,x5992)+~E(f18(x5991,x5992,x5993),f4(x5993))
% 12.19/12.32 [600]~P11(x6003)+E(x6001,x6002)+~E(f18(x6001,x6002,x6003),f4(x6003))
% 12.19/12.32 [621]~P9(x6213)+~E(f20(x6211,x6212,x6213),f4(x6213))+E(x6211,f22(x6212,x6213))
% 12.19/12.32 [622]~P51(x6222)+~E(f21(x6221,x6223,x6222),f11(x6222))+E(f12(x6221,x6222),x6223)
% 12.19/12.32 [623]~P9(x6232)+~E(f20(x6231,x6233,x6232),f4(x6232))+E(f22(x6231,x6232),x6233)
% 12.19/12.32 [734]E(x7341,x7342)+~E(f21(x7343,x7341,a1),f21(x7343,x7342,a1))+E(x7343,f4(a1))
% 12.19/12.32 [735]E(x7351,x7352)+~E(f21(x7351,x7353,a1),f21(x7352,x7353,a1))+E(x7353,f4(a1))
% 12.19/12.32 [736]~P35(x7363)+E(x7361,x7362)+P5(f4(a1),f34(x7361,x7362,x7363),a1)
% 12.19/12.32 [776]~P62(x7763)+P5(x7761,x7762,x7763)+~P5(f16(x7761,x7763),x7762,x7763)
% 12.19/12.32 [777]~P26(x7773)+P4(x7771,x7772,x7773)+~P4(f16(x7771,x7773),x7772,x7773)
% 12.19/12.32 [806]~P6(x8062)+~P5(x8063,x8061,x8062)+P5(f22(x8061,x8062),f22(x8063,x8062),x8062)
% 12.19/12.32 [807]~P6(x8072)+~P4(x8073,x8071,x8072)+P4(f22(x8071,x8072),f22(x8073,x8072),x8072)
% 12.19/12.32 [837]~P6(x8373)+~P5(x8372,f22(x8371,x8373),x8373)+P5(x8371,f22(x8372,x8373),x8373)
% 12.19/12.32 [839]~P6(x8393)+~P4(x8392,f22(x8391,x8393),x8393)+P4(x8391,f22(x8392,x8393),x8393)
% 12.19/12.32 [841]~P6(x8412)+~P5(f22(x8413,x8412),x8411,x8412)+P5(f22(x8411,x8412),x8413,x8412)
% 12.19/12.32 [842]~P62(x8422)+~P5(f16(x8421,x8422),x8423,x8422)+P5(f22(x8421,x8422),x8423,x8422)
% 12.19/12.32 [844]~P6(x8442)+~P4(f22(x8443,x8442),x8441,x8442)+P4(f22(x8441,x8442),x8443,x8442)
% 12.19/12.32 [845]~P26(x8452)+~P4(f16(x8451,x8452),x8453,x8452)+P4(f22(x8451,x8452),x8453,x8452)
% 12.19/12.32 [856]~P6(x8563)+P5(x8561,x8562,x8563)+~P5(f22(x8562,x8563),f22(x8561,x8563),x8563)
% 12.19/12.32 [857]~P6(x8573)+P4(x8571,x8572,x8573)+~P4(f22(x8572,x8573),f22(x8571,x8573),x8573)
% 12.19/12.32 [896]~P6(x8963)+~P5(x8961,x8962,x8963)+P5(f18(x8961,x8962,x8963),f4(x8963),x8963)
% 12.19/12.32 [897]~P6(x8973)+~P4(x8971,x8972,x8973)+P4(f18(x8971,x8972,x8973),f4(x8973),x8973)
% 12.19/12.32 [900]E(x9001,x9002)+~P35(x9003)+~P4(f34(x9001,x9002,x9003),f4(a1),a1)
% 12.19/12.32 [915]~P5(x9152,x9153,a1)+P5(f25(x9151,x9152),f25(x9151,x9153),a1)+~P5(f11(a1),x9151,a1)
% 12.19/12.32 [916]~P4(x9162,x9163,a1)+P4(f25(x9161,x9162),f25(x9161,x9163),a1)+~P5(f11(a1),x9161,a1)
% 12.19/12.32 [917]~P4(x9172,x9173,a1)+P4(f25(x9171,x9172),f25(x9171,x9173),a1)+~P4(f11(a1),x9171,a1)
% 12.19/12.32 [939]~P21(x9393)+~P4(x9391,f22(x9392,x9393),x9393)+P4(f20(x9391,x9392,x9393),f4(x9393),x9393)
% 12.19/12.32 [943]P5(x9431,x9432,a1)+~P5(f25(x9433,x9431),f25(x9433,x9432),a1)+~P5(f11(a1),x9433,a1)
% 12.19/12.32 [944]P4(x9441,x9442,a1)+~P4(f25(x9443,x9441),f25(x9443,x9442),a1)+~P5(f11(a1),x9443,a1)
% 12.19/12.32 [952]~P6(x9523)+P5(x9521,x9522,x9523)+~P5(f18(x9521,x9522,x9523),f4(x9523),x9523)
% 12.19/12.32 [953]~P6(x9533)+P4(x9531,x9532,x9533)+~P4(f18(x9531,x9532,x9533),f4(x9533),x9533)
% 12.19/12.32 [1004]~P21(x10043)+~P4(f20(x10041,x10042,x10043),f4(x10043),x10043)+P4(x10041,f22(x10042,x10043),x10043)
% 12.19/12.32 [1105]~P5(x11051,x11053,a1)+P5(f21(x11051,x11052,a1),f21(x11053,x11052,a1),a1)+~P5(f4(a1),x11052,a1)
% 12.19/12.32 [1106]~P5(x11062,x11063,a1)+P5(f21(x11061,x11062,a1),f21(x11061,x11063,a1),a1)+~P5(f4(a1),x11061,a1)
% 12.19/12.32 [1107]~P4(x11071,x11073,a1)+P4(f21(x11071,x11072,a1),f21(x11073,x11072,a1),a1)+~P5(f4(a1),x11072,a1)
% 12.19/12.32 [1108]~P4(x11082,x11083,a1)+P4(f21(x11081,x11082,a1),f21(x11081,x11083,a1),a1)+~P5(f4(a1),x11081,a1)
% 12.19/12.32 [1233]P5(x12331,x12332,a1)+~P5(f21(x12331,x12333,a1),f21(x12332,x12333,a1),a1)+~P5(f4(a1),x12333,a1)
% 12.19/12.32 [1234]P4(x12341,x12342,a1)+~P4(f21(x12343,x12341,a1),f21(x12343,x12342,a1),a1)+~P5(f4(a1),x12343,a1)
% 12.19/12.32 [1235]P4(x12351,x12352,a1)+~P4(f21(x12351,x12353,a1),f21(x12352,x12353,a1),a1)+~P5(f4(a1),x12353,a1)
% 12.19/12.32 [737]~P53(x7372)+E(x7371,f4(x7372))+E(f17(f22(x7373,x7372),f22(x7371,x7372),x7372),f17(x7373,x7371,x7372))
% 12.19/12.32 [740]~P2(x7402)+E(x7401,f4(x7402))+E(f15(f21(x7403,x7401,x7402),x7401,x7402),x7403)
% 12.19/12.32 [741]~P2(x7412)+E(x7411,f4(x7412))+E(f15(f21(x7411,x7413,x7412),x7411,x7412),x7413)
% 12.19/12.32 [742]~P53(x7422)+E(x7421,f4(x7422))+E(f17(f21(x7423,x7421,x7422),x7421,x7422),x7423)
% 12.19/12.32 [743]~P33(x7432)+~P53(x7432)+E(f17(f22(x7431,x7432),f22(x7433,x7432),x7432),f17(x7431,x7433,x7432))
% 12.19/12.32 [778]~P33(x7783)+~P53(x7783)+E(f12(f17(x7781,x7782,x7783),x7783),f17(x7782,x7781,x7783))
% 12.19/12.32 [835]~P53(x8352)+E(x8351,f4(x8352))+E(f17(x8353,f22(x8351,x8352),x8352),f22(f17(x8353,x8351,x8352),x8352))
% 12.19/12.32 [846]~P33(x8463)+~P53(x8463)+E(f17(x8461,f22(x8462,x8463),x8463),f22(f17(x8461,x8462,x8463),x8463))
% 12.19/12.32 [880]~P33(x8803)+~P42(x8803)+E(f35(f12(x8801,a1),f12(x8802,x8803),x8803),f12(f35(x8801,x8802,x8803),x8803))
% 12.19/12.32 [881]~P32(x8812)+E(x8811,f4(x8812))+E(f17(f16(x8813,x8812),f16(x8811,x8812),x8812),f16(f17(x8813,x8811,x8812),x8812))
% 12.19/12.32 [883]~P33(x8832)+~P53(x8832)+E(f21(f12(x8831,x8832),f12(x8833,x8832),x8832),f12(f21(x8831,x8833,x8832),x8832))
% 12.19/12.32 [884]~P32(x8842)+~P33(x8842)+E(f17(f16(x8841,x8842),f16(x8843,x8842),x8842),f16(f17(x8841,x8843,x8842),x8842))
% 12.19/12.32 [886]~P41(x8862)+~P74(x8862)+E(f17(f36(x8861,x8862),f36(x8863,x8862),x8862),f36(f18(x8861,x8863,x8862),x8862))
% 12.19/12.32 [887]~P41(x8872)+~P74(x8872)+E(f21(f36(x8871,x8872),f36(x8873,x8872),x8872),f36(f20(x8871,x8873,x8872),x8872))
% 12.19/12.32 [941]~P62(x9412)+~P4(f4(x9412),x9413,x9412)+E(f21(f16(x9411,x9412),x9413,x9412),f16(f21(x9411,x9413,x9412),x9412))
% 12.19/12.32 [996]~P2(x9962)+E(x9961,f4(x9962))+E(f15(f20(x9963,x9961,x9962),x9961,x9962),f20(f15(x9963,x9961,x9962),f11(x9962),x9962))
% 12.19/12.32 [997]~P2(x9972)+E(x9971,f4(x9972))+E(f15(f20(x9971,x9973,x9972),x9971,x9972),f20(f15(x9973,x9971,x9972),f11(x9972),x9972))
% 12.19/12.32 [1081]~P5(f4(a1),x10813,a1)+~P5(f4(a1),x10811,a1)+E(f21(f25(x10811,x10812),f25(x10813,x10812),a1),f25(f21(x10811,x10813,a1),x10812))
% 12.19/12.32 [1133]~P61(x11332)+E(x11331,f4(x11332))+~E(f20(f21(x11333,x11333,x11332),f21(x11331,x11331,x11332),x11332),f4(x11332))
% 12.19/12.32 [1134]~P61(x11342)+E(x11341,f4(x11342))+~E(f20(f21(x11341,x11341,x11342),f21(x11343,x11343,x11342),x11342),f4(x11342))
% 12.19/12.32 [1276]~P61(x12762)+E(x12761,f4(x12762))+P5(f4(x12762),f20(f21(x12763,x12763,x12762),f21(x12761,x12761,x12762),x12762),x12762)
% 12.19/12.32 [1277]~P61(x12772)+E(x12771,f4(x12772))+P5(f4(x12772),f20(f21(x12771,x12771,x12772),f21(x12773,x12773,x12772),x12772),x12772)
% 12.19/12.32 [1372]~P61(x13722)+E(x13721,f4(x13722))+~P4(f20(f21(x13723,x13723,x13722),f21(x13721,x13721,x13722),x13722),f4(x13722),x13722)
% 12.19/12.32 [1373]~P61(x13732)+E(x13731,f4(x13732))+~P4(f20(f21(x13731,x13731,x13732),f21(x13733,x13733,x13732),x13732),f4(x13732),x13732)
% 12.19/12.32 [1325]~P32(x13253)+~P5(x13251,x13252,x13253)+P5(x13251,f17(f20(x13251,x13252,x13253),f20(f11(x13253),f11(x13253),x13253),x13253),x13253)
% 12.19/12.32 [1326]~P32(x13263)+~P5(x13261,x13262,x13263)+P5(f17(f20(x13261,x13262,x13263),f20(f11(x13263),f11(x13263),x13263),x13263),x13262,x13263)
% 12.19/12.32 [752]~P17(x7524)+E(x7521,x7522)+~E(f20(x7523,x7521,x7524),f20(x7523,x7522,x7524))
% 12.19/12.32 [753]~P18(x7534)+E(x7531,x7532)+~E(f20(x7533,x7531,x7534),f20(x7533,x7532,x7534))
% 12.19/12.32 [754]~P11(x7544)+E(x7541,x7542)+~E(f18(x7543,x7543,x7544),f18(x7541,x7542,x7544))
% 12.19/12.32 [755]~P18(x7554)+E(x7551,x7552)+~E(f20(x7551,x7553,x7554),f20(x7552,x7553,x7554))
% 12.19/12.32 [756]~P11(x7563)+E(x7561,x7562)+~E(f18(x7561,x7562,x7563),f18(x7564,x7564,x7563))
% 12.19/12.32 [1013]~P28(x10133)+~P5(x10131,x10134,x10133)+P5(f20(x10131,x10132,x10133),f20(x10134,x10132,x10133),x10133)
% 12.19/12.32 [1014]~P31(x10143)+~P5(x10141,x10144,x10143)+P5(f20(x10141,x10142,x10143),f20(x10144,x10142,x10143),x10143)
% 12.19/12.32 [1015]~P28(x10153)+~P5(x10152,x10154,x10153)+P5(f20(x10151,x10152,x10153),f20(x10151,x10154,x10153),x10153)
% 12.19/12.32 [1016]~P31(x10163)+~P5(x10162,x10164,x10163)+P5(f20(x10161,x10162,x10163),f20(x10161,x10164,x10163),x10163)
% 12.19/12.32 [1017]~P28(x10173)+~P4(x10171,x10174,x10173)+P4(f20(x10171,x10172,x10173),f20(x10174,x10172,x10173),x10173)
% 12.19/12.32 [1018]~P29(x10183)+~P4(x10181,x10184,x10183)+P4(f20(x10181,x10182,x10183),f20(x10184,x10182,x10183),x10183)
% 12.19/12.32 [1019]~P28(x10193)+~P4(x10192,x10194,x10193)+P4(f20(x10191,x10192,x10193),f20(x10191,x10194,x10193),x10193)
% 12.19/12.32 [1020]~P29(x10203)+~P4(x10202,x10204,x10203)+P4(f20(x10201,x10202,x10203),f20(x10201,x10204,x10203),x10203)
% 12.19/12.32 [1173]~P28(x11733)+P5(x11731,x11732,x11733)+~P5(f20(x11734,x11731,x11733),f20(x11734,x11732,x11733),x11733)
% 12.19/12.32 [1174]~P28(x11743)+P5(x11741,x11742,x11743)+~P5(f20(x11741,x11744,x11743),f20(x11742,x11744,x11743),x11743)
% 12.19/12.32 [1175]~P28(x11753)+P4(x11751,x11752,x11753)+~P4(f20(x11754,x11751,x11753),f20(x11754,x11752,x11753),x11753)
% 12.19/12.32 [1176]~P28(x11763)+P4(x11761,x11762,x11763)+~P4(f20(x11761,x11764,x11763),f20(x11762,x11764,x11763),x11763)
% 12.19/12.32 [913]~P11(x9133)+E(x9131,f22(x9132,x9133))+~E(f20(x9131,f20(x9134,x9132,x9133),x9133),x9134)
% 12.19/12.32 [990]~P2(x9902)+E(x9901,f4(x9902))+E(f15(f21(x9903,x9901,x9902),f21(x9904,x9901,x9902),x9902),f15(x9903,x9904,x9902))
% 12.19/12.32 [991]~P2(x9912)+E(x9911,f4(x9912))+E(f15(f21(x9911,x9913,x9912),f21(x9911,x9914,x9912),x9912),f15(x9913,x9914,x9912))
% 12.19/12.32 [992]~P33(x9923)+~P53(x9923)+E(f17(f21(x9921,x9922,x9923),x9924,x9923),f21(f17(x9921,x9924,x9923),x9922,x9923))
% 12.19/12.32 [995]~P3(x9952)+~E(f14(x9951,x9953,x9952),f14(x9954,x9953,x9952))+E(f14(f22(x9951,x9952),x9953,x9952),f14(f22(x9954,x9952),x9953,x9952))
% 12.19/12.32 [1172]~P22(x11724)+~P4(f20(x11721,x11723,x11724),x11722,x11724)+P4(x11721,f20(x11722,f16(x11723,x11724),x11724),x11724)
% 12.19/12.32 [1229]~P52(x12293)+~P8(x12293)+E(f20(f21(x12291,x12292,x12293),f21(x12291,x12294,x12293),x12293),f20(f21(x12291,x12294,x12293),f21(x12291,x12292,x12293),x12293))
% 12.19/12.32 [1282]~P62(x12824)+P5(x12821,f20(x12822,x12823,x12824),x12824)+~P5(f16(f18(x12821,x12822,x12824),x12824),x12823,x12824)
% 12.19/12.32 [1283]~P62(x12833)+P5(f18(x12831,x12832,x12833),x12834,x12833)+~P5(f16(f18(x12834,x12831,x12833),x12833),x12832,x12833)
% 12.19/12.32 [1226]~P2(x12262)+E(x12261,f4(x12262))+E(f15(f20(x12263,f21(x12264,x12261,x12262),x12262),x12261,x12262),f20(x12264,f15(x12263,x12261,x12262),x12262))
% 12.19/12.32 [1227]~P2(x12272)+E(x12271,f4(x12272))+E(f15(f20(x12273,f21(x12271,x12274,x12272),x12272),x12271,x12272),f20(x12274,f15(x12273,x12271,x12272),x12272))
% 12.19/12.32 [1238]~P7(x12382)+~P71(x12382)+E(f20(f21(f26(x12381,x12382),x12383,x12382),f21(f26(x12381,x12382),x12384,x12382),x12382),f21(f26(x12381,x12382),f20(x12383,x12384,x12382),x12382))
% 12.19/12.32 [1239]~P7(x12392)+~P67(x12392)+E(f18(f21(f26(x12391,x12392),x12393,x12392),f21(f26(x12391,x12392),x12394,x12392),x12392),f21(f26(x12391,x12392),f18(x12393,x12394,x12392),x12392))
% 12.19/12.32 [1240]~P7(x12403)+~P71(x12403)+E(f20(f21(x12401,f26(x12402,x12403),x12403),f21(x12404,f26(x12402,x12403),x12403),x12403),f21(f20(x12401,x12404,x12403),f26(x12402,x12403),x12403))
% 12.19/12.32 [1241]~P7(x12413)+~P67(x12413)+E(f18(f21(x12411,f26(x12412,x12413),x12413),f21(x12414,f26(x12412,x12413),x12413),x12413),f21(f18(x12411,x12414,x12413),f26(x12412,x12413),x12413))
% 12.19/12.32 [1098]~P11(x10983)+E(f20(x10981,x10982,x10983),x10984)+~E(f20(x10981,f20(x10985,x10982,x10983),x10983),f20(x10985,x10984,x10983))
% 12.19/12.32 [1230]~P33(x12303)+~P53(x12303)+E(f17(f21(x12301,x12302,x12303),f21(x12304,x12305,x12303),x12303),f21(f17(x12301,x12304,x12303),f17(x12302,x12305,x12303),x12303))
% 12.19/12.32 [1367]~P67(x13674)+~E(f20(f21(x13673,x13675,x13674),x13671,x13674),f20(f21(x13672,x13675,x13674),x13676,x13674))+E(x13671,f20(f21(f18(x13672,x13673,x13674),x13675,x13674),x13676,x13674))
% 12.19/12.32 [1368]~P67(x13683)+~E(f20(f21(x13681,x13684,x13683),x13685,x13683),f20(f21(x13682,x13684,x13683),x13686,x13683))+E(f20(f21(f18(x13681,x13682,x13683),x13684,x13683),x13685,x13683),x13686)
% 12.19/12.32 [1398]~P65(x13984)+~P5(f20(f21(x13983,x13985,x13984),x13981,x13984),f20(f21(x13982,x13985,x13984),x13986,x13984),x13984)+P5(x13981,f20(f21(f18(x13982,x13983,x13984),x13985,x13984),x13986,x13984),x13984)
% 12.19/12.32 [1399]~P65(x13994)+~P4(f20(f21(x13993,x13995,x13994),x13991,x13994),f20(f21(x13992,x13995,x13994),x13996,x13994),x13994)+P4(x13991,f20(f21(f18(x13992,x13993,x13994),x13995,x13994),x13996,x13994),x13994)
% 12.19/12.32 [1400]~P65(x14003)+~P5(f20(f21(x14001,x14004,x14003),x14005,x14003),f20(f21(x14002,x14004,x14003),x14006,x14003),x14003)+P5(f20(f21(f18(x14001,x14002,x14003),x14004,x14003),x14005,x14003),x14006,x14003)
% 12.19/12.32 [1401]~P65(x14013)+~P4(f20(f21(x14011,x14014,x14013),x14015,x14013),f20(f21(x14012,x14014,x14013),x14016,x14013),x14013)+P4(f20(f21(f18(x14011,x14012,x14013),x14014,x14013),x14015,x14013),x14016,x14013)
% 12.19/12.32 [1402]~P65(x14023)+P5(f20(f21(x14021,x14022,x14023),x14024,x14023),f20(f21(x14025,x14022,x14023),x14026,x14023),x14023)+~P5(x14024,f20(f21(f18(x14025,x14021,x14023),x14022,x14023),x14026,x14023),x14023)
% 12.19/12.32 [1403]~P65(x14033)+P4(f20(f21(x14031,x14032,x14033),x14034,x14033),f20(f21(x14035,x14032,x14033),x14036,x14033),x14033)+~P4(x14034,f20(f21(f18(x14035,x14031,x14033),x14032,x14033),x14036,x14033),x14033)
% 12.19/12.32 [1404]~P65(x14043)+P5(f20(f21(x14041,x14042,x14043),x14044,x14043),f20(f21(x14045,x14042,x14043),x14046,x14043),x14043)+~P5(f20(f21(f18(x14041,x14045,x14043),x14042,x14043),x14044,x14043),x14046,x14043)
% 12.19/12.32 [1405]~P65(x14053)+P4(f20(f21(x14051,x14052,x14053),x14054,x14053),f20(f21(x14055,x14052,x14053),x14056,x14053),x14053)+~P4(f20(f21(f18(x14051,x14055,x14053),x14052,x14053),x14054,x14053),x14056,x14053)
% 12.19/12.32 [471]~P33(x4712)+~P53(x4712)+~E(f12(x4711,x4712),f11(x4712))+E(x4711,f11(x4712))
% 12.19/12.32 [567]~P27(x5672)+~P22(x5672)+P5(x5671,f4(x5672),x5672)+E(f16(x5671,x5672),x5671)
% 12.19/12.32 [649]~P70(x6492)+~P5(f4(x6492),x6491,x6492)+E(f19(x6491,x6492),f11(x6492))+E(x6491,f4(x6492))
% 12.19/12.32 [660]~P27(x6602)+~P22(x6602)+~P5(x6601,f4(x6602),x6602)+E(f16(x6601,x6602),f22(x6601,x6602))
% 12.19/12.32 [798]~P32(x7981)+~P33(x7981)+~P4(f4(x7981),x7982,x7981)+P4(f4(x7981),f12(x7982,x7981),x7981)
% 12.19/12.32 [800]~P32(x8002)+~P33(x8002)+~P4(x8001,f4(x8002),x8002)+P5(f12(x8001,x8002),f11(x8002),x8002)
% 12.19/12.32 [801]~P32(x8012)+~P33(x8012)+~P4(x8011,f4(x8012),x8012)+P4(f12(x8011,x8012),f4(x8012),x8012)
% 12.19/12.32 [802]~P32(x8022)+~P33(x8022)+~P4(x8021,f4(x8022),x8022)+P4(f12(x8021,x8022),f11(x8022),x8022)
% 12.19/12.32 [803]~P32(x8032)+~P33(x8032)+~P5(f11(x8032),x8031,x8032)+P5(f12(x8031,x8032),f11(x8032),x8032)
% 12.19/12.32 [804]~P32(x8042)+~P33(x8042)+~P4(f11(x8042),x8041,x8042)+P4(f12(x8041,x8042),f11(x8042),x8042)
% 12.19/12.32 [825]~P32(x8252)+~P5(f12(x8251,x8252),f4(x8252),x8252)+P5(x8251,f4(x8252),x8252)+E(x8251,f4(x8252))
% 12.19/12.32 [826]~P32(x8262)+~P5(f4(x8262),f12(x8261,x8262),x8262)+P5(f4(x8262),x8261,x8262)+E(x8261,f4(x8262))
% 12.19/12.32 [827]~P32(x8272)+~P33(x8272)+~P5(f11(x8272),f12(x8271,x8272),x8272)+P5(x8271,f11(x8272),x8272)
% 12.19/12.32 [828]~P32(x8282)+~P33(x8282)+~P4(f11(x8282),f12(x8281,x8282),x8282)+P4(x8281,f11(x8282),x8282)
% 12.19/12.32 [829]~P32(x8292)+~P33(x8292)+~P5(f12(x8291,x8292),f4(x8292),x8292)+P5(x8291,f4(x8292),x8292)
% 12.19/12.32 [830]~P32(x8302)+~P33(x8302)+~P4(f12(x8301,x8302),f4(x8302),x8302)+P4(x8301,f4(x8302),x8302)
% 12.19/12.32 [831]~P32(x8311)+~P33(x8311)+~P5(f4(x8311),f12(x8312,x8311),x8311)+P5(f4(x8311),x8312,x8311)
% 12.19/12.32 [832]~P32(x8321)+~P33(x8321)+~P5(f11(x8321),f12(x8322,x8321),x8321)+P5(f4(x8321),x8322,x8321)
% 12.19/12.32 [833]~P32(x8331)+~P33(x8331)+~P4(f11(x8331),f12(x8332,x8331),x8331)+P5(f4(x8331),x8332,x8331)
% 12.19/12.32 [834]~P32(x8341)+~P33(x8341)+~P4(f4(x8341),f12(x8342,x8341),x8341)+P4(f4(x8341),x8342,x8341)
% 12.19/12.32 [946]~P5(x9462,x9461,a1)+~P4(x9461,a23,a1)+P5(f29(x9461),f29(x9462),a1)+~P4(f4(a1),x9462,a1)
% 12.19/12.32 [947]~P4(x9472,x9471,a1)+~P4(x9471,a23,a1)+P4(f29(x9471),f29(x9472),a1)+~P4(f4(a1),x9472,a1)
% 12.19/12.32 [610]~P70(x6102)+P5(f4(x6102),x6101,x6102)+E(x6101,f4(x6102))+E(f19(x6101,x6102),f22(f11(x6102),x6102))
% 12.19/12.32 [712]~P8(x7122)+~P62(x7122)+P5(f26(x7121,x7122),f4(x7122),x7122)+E(f16(f26(x7121,x7122),x7122),f26(x7121,x7122))
% 12.19/12.32 [858]~P8(x8582)+~P62(x8582)+~P5(f26(x8581,x8582),f4(x8582),x8582)+E(f16(f26(x8581,x8582),x8582),f22(f26(x8581,x8582),x8582))
% 12.19/12.32 [922]~P32(x9221)+~P33(x9221)+~P5(f4(x9221),x9222,x9221)+P5(f4(x9221),f17(f11(x9221),x9222,x9221),x9221)
% 12.19/12.32 [923]~P32(x9231)+~P33(x9231)+~P4(f4(x9231),x9232,x9231)+P4(f4(x9231),f17(f11(x9231),x9232,x9231),x9231)
% 12.19/12.32 [924]~P32(x9241)+~P33(x9241)+~P5(x9242,f4(x9241),x9241)+P5(f17(f11(x9241),x9242,x9241),f4(x9241),x9241)
% 12.19/12.32 [925]~P32(x9251)+~P33(x9251)+~P4(x9252,f4(x9251),x9251)+P4(f17(f11(x9251),x9252,x9251),f4(x9251),x9251)
% 12.19/12.32 [1005]~P32(x10052)+~P33(x10052)+P5(x10051,f4(x10052),x10052)+~P5(f17(f11(x10052),x10051,x10052),f4(x10052),x10052)
% 12.19/12.32 [1006]~P32(x10062)+~P33(x10062)+P4(x10061,f4(x10062),x10062)+~P4(f17(f11(x10062),x10061,x10062),f4(x10062),x10062)
% 12.19/12.32 [1007]~P32(x10071)+~P33(x10071)+P5(f4(x10071),x10072,x10071)+~P5(f4(x10071),f17(f11(x10071),x10072,x10071),x10071)
% 12.19/12.32 [1008]~P32(x10081)+~P33(x10081)+P4(f4(x10081),x10082,x10081)+~P4(f4(x10081),f17(f11(x10081),x10082,x10081),x10081)
% 12.19/12.32 [641]P5(x6411,x6412,x6413)+~P27(x6413)+E(x6411,x6412)+P5(x6412,x6411,x6413)
% 12.19/12.32 [642]P5(x6421,x6422,x6423)+~P62(x6423)+E(x6421,x6422)+P5(x6422,x6421,x6423)
% 12.19/12.32 [690]~P1(x6903)+~P4(x6901,x6902,x6903)+E(x6901,x6902)+P5(x6901,x6902,x6903)
% 12.19/12.32 [692]~P27(x6923)+~P4(x6921,x6922,x6923)+E(x6921,x6922)+P5(x6921,x6922,x6923)
% 12.19/12.32 [760]~P4(x7602,x7601,x7603)+~P4(x7601,x7602,x7603)+E(x7601,x7602)+~P1(x7603)
% 12.19/12.32 [808]P4(x8082,x8081,x8083)+~P36(x8083)+~P4(x8081,x8082,x8083)+P5(x8081,x8082,x8083)
% 12.19/12.32 [482]~P8(x4823)+~P12(x4823)+E(x4821,x4822)+~E(f26(x4821,x4823),f26(x4822,x4823))
% 12.19/12.32 [483]~P33(x4833)+~P51(x4833)+E(x4831,x4832)+~E(f12(x4831,x4833),f12(x4832,x4833))
% 12.19/12.32 [607]~P53(x6073)+E(x6071,x6072)+~E(f17(x6071,x6072,x6073),f11(x6073))+E(x6072,f4(x6073))
% 12.19/12.32 [608]~P52(x6082)+~P8(x6082)+~E(f20(x6083,x6081,x6082),x6083)+E(x6081,f4(x6082))
% 12.19/12.32 [611]~P40(x6112)+~E(f35(x6113,x6111,x6112),f4(x6112))+E(x6111,f4(x6112))+E(x6113,f4(a1))
% 12.19/12.32 [612]~P52(x6123)+~P8(x6123)+E(x6121,x6122)+~E(f18(x6121,x6122,x6123),f4(x6123))
% 12.19/12.32 [613]~P72(x6132)+~E(f21(x6133,x6131,x6132),f4(x6132))+E(x6131,f4(x6132))+E(x6133,f4(x6132))
% 12.19/12.32 [615]~P59(x6152)+~E(f21(x6153,x6151,x6152),f4(x6152))+E(x6151,f4(x6152))+E(x6153,f4(x6152))
% 12.19/12.32 [796]~P52(x7963)+E(x7961,x7962)+~E(f21(x7961,x7961,x7963),f21(x7962,x7962,x7963))+E(x7961,f22(x7962,x7963))
% 12.19/12.32 [928]~P32(x9282)+~P5(x9283,x9281,x9282)+~P5(x9281,f4(x9282),x9282)+P5(f12(x9281,x9282),f12(x9283,x9282),x9282)
% 12.19/12.32 [929]~P32(x9292)+~P4(x9293,x9291,x9292)+~P5(x9291,f4(x9292),x9292)+P4(f12(x9291,x9292),f12(x9293,x9292),x9292)
% 12.19/12.32 [930]~P32(x9302)+~P5(x9303,x9301,x9302)+~P5(f4(x9302),x9303,x9302)+P5(f12(x9301,x9302),f12(x9303,x9302),x9302)
% 12.19/12.32 [931]~P32(x9312)+~P4(x9313,x9311,x9312)+~P5(f4(x9312),x9313,x9312)+P4(f12(x9311,x9312),f12(x9313,x9312),x9312)
% 12.19/12.32 [936]~P62(x9362)+~P5(x9361,x9363,x9362)+~P5(f22(x9361,x9362),x9363,x9362)+P5(f16(x9361,x9362),x9363,x9362)
% 12.19/12.32 [938]~P26(x9382)+~P4(x9381,x9383,x9382)+~P4(f22(x9381,x9382),x9383,x9382)+P4(f16(x9381,x9382),x9383,x9382)
% 12.19/12.32 [954]~P32(x9543)+P5(x9541,x9542,x9543)+~P5(x9541,f4(x9543),x9543)+~P5(f12(x9542,x9543),f12(x9541,x9543),x9543)
% 12.19/12.32 [955]~P32(x9553)+P4(x9551,x9552,x9553)+~P5(x9551,f4(x9553),x9553)+~P4(f12(x9552,x9553),f12(x9551,x9553),x9553)
% 12.19/12.32 [956]~P32(x9563)+P5(x9561,x9562,x9563)+~P5(f4(x9563),x9562,x9563)+~P5(f12(x9562,x9563),f12(x9561,x9563),x9563)
% 12.19/12.32 [957]~P32(x9573)+P4(x9571,x9572,x9573)+~P5(f4(x9573),x9572,x9573)+~P4(f12(x9572,x9573),f12(x9571,x9573),x9573)
% 12.19/12.32 [1021]~P5(x10213,x10211,a1)+P5(f25(x10211,x10212),f25(x10213,x10212),a1)+~P5(x10212,f4(a1),a1)+~P5(f4(a1),x10213,a1)
% 12.19/12.32 [1022]~P5(x10221,x10223,a1)+P5(f25(x10221,x10222),f25(x10223,x10222),a1)+~P5(f4(a1),x10222,a1)+~P5(f4(a1),x10221,a1)
% 12.19/12.32 [1023]~P4(x10231,x10233,a1)+P4(f25(x10231,x10232),f25(x10233,x10232),a1)+~P5(f4(a1),x10231,a1)+~P4(f4(a1),x10232,a1)
% 12.19/12.32 [1024]~P61(x10241)+~P5(x10243,f4(x10241),x10241)+~P5(x10242,f4(x10241),x10241)+P5(f4(x10241),f21(x10242,x10243,x10241),x10241)
% 12.19/12.32 [1025]~P32(x10251)+~P5(x10253,f4(x10251),x10251)+~P5(x10252,f4(x10251),x10251)+P5(f4(x10251),f17(x10252,x10253,x10251),x10251)
% 12.19/12.32 [1026]~P61(x10261)+~P4(x10263,f4(x10261),x10261)+~P4(x10262,f4(x10261),x10261)+P4(f4(x10261),f21(x10262,x10263,x10261),x10261)
% 12.19/12.32 [1028]~P65(x10281)+~P4(x10283,f4(x10281),x10281)+~P4(x10282,f4(x10281),x10281)+P4(f4(x10281),f21(x10282,x10283,x10281),x10281)
% 12.19/12.32 [1029]~P32(x10291)+~P5(x10293,f4(x10291),x10291)+~P4(x10292,f4(x10291),x10291)+P4(f4(x10291),f17(x10292,x10293,x10291),x10291)
% 12.19/12.32 [1030]~P60(x10301)+~P5(f4(x10301),x10303,x10301)+~P5(f4(x10301),x10302,x10301)+P5(f4(x10301),f21(x10302,x10303,x10301),x10301)
% 12.19/12.32 [1031]~P30(x10311)+~P5(f4(x10311),x10313,x10311)+~P5(f4(x10311),x10312,x10311)+P5(f4(x10311),f20(x10312,x10313,x10311),x10311)
% 12.19/12.32 [1032]~P30(x10321)+~P5(f4(x10321),x10323,x10321)+~P4(f4(x10321),x10322,x10321)+P5(f4(x10321),f20(x10322,x10323,x10321),x10321)
% 12.19/12.32 [1033]~P30(x10331)+~P5(f4(x10331),x10332,x10331)+~P4(f4(x10331),x10333,x10331)+P5(f4(x10331),f20(x10332,x10333,x10331),x10331)
% 12.19/12.32 [1034]~P32(x10341)+~P5(f4(x10341),x10343,x10341)+~P5(f4(x10341),x10342,x10341)+P5(f4(x10341),f17(x10342,x10343,x10341),x10341)
% 12.19/12.32 [1035]~P63(x10351)+~P5(f11(x10351),x10353,x10351)+~P5(f11(x10351),x10352,x10351)+P5(f11(x10351),f21(x10352,x10353,x10351),x10351)
% 12.19/12.32 [1036]~P61(x10361)+~P4(f4(x10361),x10363,x10361)+~P4(f4(x10361),x10362,x10361)+P4(f4(x10361),f21(x10362,x10363,x10361),x10361)
% 12.19/12.32 [1037]~P65(x10371)+~P4(f4(x10371),x10373,x10371)+~P4(f4(x10371),x10372,x10371)+P4(f4(x10371),f21(x10372,x10373,x10371),x10371)
% 12.19/12.32 [1038]~P66(x10381)+~P4(f4(x10381),x10383,x10381)+~P4(f4(x10381),x10382,x10381)+P4(f4(x10381),f21(x10382,x10383,x10381),x10381)
% 12.19/12.32 [1039]~P30(x10391)+~P4(f4(x10391),x10393,x10391)+~P4(f4(x10391),x10392,x10391)+P4(f4(x10391),f20(x10392,x10393,x10391),x10391)
% 12.19/12.32 [1040]~P32(x10401)+~P5(f4(x10401),x10403,x10401)+~P4(f4(x10401),x10402,x10401)+P4(f4(x10401),f17(x10402,x10403,x10401),x10401)
% 12.19/12.32 [1041]~P30(x10413)+~P5(x10412,f4(x10413),x10413)+~P5(x10411,f4(x10413),x10413)+P5(f20(x10411,x10412,x10413),f4(x10413),x10413)
% 12.19/12.32 [1042]~P30(x10423)+~P5(x10422,f4(x10423),x10423)+~P4(x10421,f4(x10423),x10423)+P5(f20(x10421,x10422,x10423),f4(x10423),x10423)
% 12.19/12.32 [1043]~P30(x10433)+~P5(x10431,f4(x10433),x10433)+~P4(x10432,f4(x10433),x10433)+P5(f20(x10431,x10432,x10433),f4(x10433),x10433)
% 12.19/12.32 [1044]~P30(x10443)+~P4(x10442,f4(x10443),x10443)+~P4(x10441,f4(x10443),x10443)+P4(f20(x10441,x10442,x10443),f4(x10443),x10443)
% 12.19/12.32 [1045]~P60(x10453)+~P5(x10452,f4(x10453),x10453)+~P5(f4(x10453),x10451,x10453)+P5(f21(x10451,x10452,x10453),f4(x10453),x10453)
% 12.19/12.32 [1047]~P60(x10473)+~P5(x10471,f4(x10473),x10473)+~P5(f4(x10473),x10472,x10473)+P5(f21(x10471,x10472,x10473),f4(x10473),x10473)
% 12.19/12.32 [1048]~P32(x10483)+~P5(x10482,f4(x10483),x10483)+~P5(f4(x10483),x10481,x10483)+P5(f17(x10481,x10482,x10483),f4(x10483),x10483)
% 12.19/12.32 [1049]~P32(x10493)+~P5(x10491,f4(x10493),x10493)+~P5(f4(x10493),x10492,x10493)+P5(f17(x10491,x10492,x10493),f4(x10493),x10493)
% 12.19/12.32 [1050]~P61(x10503)+~P4(x10502,f4(x10503),x10503)+~P4(f4(x10503),x10501,x10503)+P4(f21(x10501,x10502,x10503),f4(x10503),x10503)
% 12.19/12.32 [1051]~P61(x10513)+~P4(x10511,f4(x10513),x10513)+~P4(f4(x10513),x10512,x10513)+P4(f21(x10511,x10512,x10513),f4(x10513),x10513)
% 12.19/12.32 [1053]~P66(x10533)+~P4(x10532,f4(x10533),x10533)+~P4(f4(x10533),x10531,x10533)+P4(f21(x10531,x10532,x10533),f4(x10533),x10533)
% 12.19/12.32 [1056]~P66(x10563)+~P4(x10561,f4(x10563),x10563)+~P4(f4(x10563),x10562,x10563)+P4(f21(x10561,x10562,x10563),f4(x10563),x10563)
% 12.19/12.32 [1057]~P32(x10573)+~P5(x10572,f4(x10573),x10573)+~P4(f4(x10573),x10571,x10573)+P4(f17(x10571,x10572,x10573),f4(x10573),x10573)
% 12.19/12.32 [1058]~P32(x10583)+~P4(x10581,f4(x10583),x10583)+~P5(f4(x10583),x10582,x10583)+P4(f17(x10581,x10582,x10583),f4(x10583),x10583)
% 12.19/12.32 [1069]~P61(x10692)+~P4(f21(x10693,x10691,x10692),f4(x10692),x10692)+P4(x10691,f4(x10692),x10692)+P4(x10693,f4(x10692),x10692)
% 12.19/12.32 [1070]~P61(x10702)+~P4(f4(x10702),f21(x10703,x10701,x10702),x10702)+P4(x10701,f4(x10702),x10702)+P4(f4(x10702),x10703,x10702)
% 12.19/12.32 [1071]~P61(x10712)+~P4(f4(x10712),f21(x10711,x10713,x10712),x10712)+P4(x10711,f4(x10712),x10712)+P4(f4(x10712),x10713,x10712)
% 12.19/12.32 [1072]~P61(x10722)+~P4(f4(x10722),f21(x10723,x10721,x10722),x10722)+P4(x10721,f4(x10722),x10722)+P4(f4(x10722),x10721,x10722)
% 12.19/12.32 [1073]~P61(x10732)+~P4(f4(x10732),f21(x10731,x10733,x10732),x10732)+P4(x10731,f4(x10732),x10732)+P4(f4(x10732),x10731,x10732)
% 12.19/12.32 [1074]~P61(x10742)+~P4(f21(x10743,x10741,x10742),f4(x10742),x10742)+P4(x10741,f4(x10742),x10742)+P4(f4(x10742),x10741,x10742)
% 12.19/12.32 [1075]~P61(x10752)+~P4(f21(x10751,x10753,x10752),f4(x10752),x10752)+P4(x10751,f4(x10752),x10752)+P4(f4(x10752),x10751,x10752)
% 12.19/12.32 [1076]~P61(x10761)+~P4(f21(x10762,x10763,x10761),f4(x10761),x10761)+P4(f4(x10761),x10762,x10761)+P4(f4(x10761),x10763,x10761)
% 12.19/12.32 [1103]~P60(x11031)+~P5(f4(x11031),f21(x11033,x11032,x11031),x11031)+P5(f4(x11031),x11032,x11031)+~P5(f4(x11031),x11033,x11031)
% 12.19/12.32 [1104]~P60(x11041)+~P5(f4(x11041),f21(x11042,x11043,x11041),x11041)+P5(f4(x11041),x11042,x11041)+~P5(f4(x11041),x11043,x11041)
% 12.19/12.32 [763]~P33(x7632)+~P53(x7632)+E(x7631,f4(x7632))+E(f21(f17(x7633,x7631,x7632),x7631,x7632),x7633)
% 12.19/12.32 [882]~P42(x8822)+E(x8821,f4(x8822))+E(x8823,f4(a1))+E(f35(f12(x8823,a1),f12(x8821,x8822),x8822),f12(f35(x8823,x8821,x8822),x8822))
% 12.19/12.32 [888]~P51(x8882)+E(x8881,f4(x8882))+E(x8883,f4(x8882))+E(f21(f12(x8881,x8882),f12(x8883,x8882),x8882),f12(f21(x8883,x8881,x8882),x8882))
% 12.19/12.32 [945]~P32(x9452)+~P33(x9452)+~P5(f4(x9452),x9453,x9452)+E(f17(f16(x9451,x9452),x9453,x9452),f16(f17(x9451,x9453,x9452),x9452))
% 12.19/12.32 [1067]~P45(x10672)+~P4(x10673,f32(x10671,x10672),a1)+~P5(f4(a1),x10673,a1)+P4(f32(f12(x10671,x10672),x10672),f12(x10673,a1),a1)
% 12.19/12.32 [1099]~P69(x10992)+~P4(x10993,f4(x10992),x10992)+~P4(x10991,f4(x10992),x10992)+E(f21(f16(x10991,x10992),f16(x10993,x10992),x10992),f16(f21(x10991,x10993,x10992),x10992))
% 12.19/12.32 [1100]~P69(x11002)+~P4(x11003,f4(x11002),x11002)+~P4(f4(x11002),x11001,x11002)+E(f21(f16(x11001,x11002),f16(x11003,x11002),x11002),f16(f21(x11001,x11003,x11002),x11002))
% 12.19/12.32 [1101]~P69(x11012)+~P4(x11011,f4(x11012),x11012)+~P4(f4(x11012),x11013,x11012)+E(f21(f16(x11011,x11012),f16(x11013,x11012),x11012),f16(f21(x11011,x11013,x11012),x11012))
% 12.19/12.32 [1102]~P69(x11022)+~P4(f4(x11022),x11023,x11022)+~P4(f4(x11022),x11021,x11022)+E(f21(f16(x11021,x11022),f16(x11023,x11022),x11022),f16(f21(x11021,x11023,x11022),x11022))
% 12.19/12.32 [1242]~P51(x12422)+E(x12421,f4(x12422))+E(x12423,f4(x12422))+E(f21(f21(f12(x12423,x12422),f20(x12423,x12421,x12422),x12422),f12(x12421,x12422),x12422),f20(f12(x12423,x12422),f12(x12421,x12422),x12422))
% 12.19/12.32 [1243]~P51(x12432)+E(x12431,f4(x12432))+E(x12433,f4(x12432))+E(f21(f21(f12(x12433,x12432),f18(x12431,x12433,x12432),x12432),f12(x12431,x12432),x12432),f18(f12(x12433,x12432),f12(x12431,x12432),x12432))
% 12.19/12.32 [1244]~P53(x12442)+E(x12441,f4(x12442))+E(x12443,f4(x12442))+E(f21(f21(f20(x12443,x12441,x12442),f12(x12443,x12442),x12442),f12(x12441,x12442),x12442),f20(f12(x12443,x12442),f12(x12441,x12442),x12442))
% 12.19/12.32 [1388]~P51(x13882)+E(x13881,f4(x13882))+E(x13883,f4(x13882))+E(f22(f21(f21(f12(x13883,x13882),f18(x13883,x13881,x13882),x13882),f12(x13881,x13882),x13882),x13882),f18(f12(x13883,x13882),f12(x13881,x13882),x13882))
% 12.19/12.32 [870]~P1(x8703)+~P5(x8701,x8704,x8703)+P5(x8701,x8702,x8703)+~P5(x8704,x8702,x8703)
% 12.19/12.32 [871]~P1(x8713)+~P4(x8711,x8714,x8713)+P5(x8711,x8712,x8713)+~P5(x8714,x8712,x8713)
% 12.19/12.32 [872]~P1(x8723)+~P4(x8724,x8722,x8723)+P5(x8721,x8722,x8723)+~P5(x8721,x8724,x8723)
% 12.19/12.32 [873]~P36(x8733)+~P5(x8731,x8734,x8733)+P5(x8731,x8732,x8733)+~P5(x8734,x8732,x8733)
% 12.19/12.32 [874]~P36(x8743)+~P4(x8741,x8744,x8743)+P5(x8741,x8742,x8743)+~P5(x8744,x8742,x8743)
% 12.19/12.32 [875]~P36(x8753)+~P4(x8754,x8752,x8753)+P5(x8751,x8752,x8753)+~P5(x8751,x8754,x8753)
% 12.19/12.32 [876]~P1(x8763)+~P4(x8761,x8764,x8763)+P4(x8761,x8762,x8763)+~P4(x8764,x8762,x8763)
% 12.19/12.32 [877]~P36(x8773)+~P4(x8771,x8774,x8773)+P4(x8771,x8772,x8773)+~P4(x8774,x8772,x8773)
% 12.19/12.32 [773]~P40(x7734)+E(x7731,x7732)+~E(f35(x7733,x7731,x7734),f35(x7733,x7732,x7734))+E(x7733,f4(a1))
% 12.19/12.32 [774]~P40(x7744)+E(x7741,x7742)+~E(f35(x7741,x7743,x7744),f35(x7742,x7743,x7744))+E(x7743,f4(x7744))
% 12.19/12.32 [775]~P52(x7754)+~P8(x7754)+E(x7751,x7752)+~E(f20(x7753,x7751,x7754),f20(x7753,x7752,x7754))
% 12.19/12.32 [1003]~P63(x10034)+~P5(x10031,x10033,x10034)+~P5(f4(x10034),x10032,x10034)+P5(x10031,f20(x10032,x10033,x10034),x10034)
% 12.19/12.32 [1146]~P61(x11463)+~P5(x11464,x11461,x11463)+~P5(x11462,f4(x11463),x11463)+P5(f21(x11461,x11462,x11463),f21(x11464,x11462,x11463),x11463)
% 12.19/12.32 [1149]~P61(x11493)+~P5(x11494,x11492,x11493)+~P5(x11491,f4(x11493),x11493)+P5(f21(x11491,x11492,x11493),f21(x11491,x11494,x11493),x11493)
% 12.19/12.32 [1150]~P32(x11503)+~P5(x11504,x11501,x11503)+~P5(x11502,f4(x11503),x11503)+P5(f17(x11501,x11502,x11503),f17(x11504,x11502,x11503),x11503)
% 12.19/12.32 [1151]~P65(x11513)+~P4(x11514,x11511,x11513)+~P4(x11512,f4(x11513),x11513)+P4(f21(x11511,x11512,x11513),f21(x11514,x11512,x11513),x11513)
% 12.19/12.32 [1152]~P61(x11523)+~P4(x11524,x11522,x11523)+~P5(x11521,f4(x11523),x11523)+P4(f21(x11521,x11522,x11523),f21(x11521,x11524,x11523),x11523)
% 12.19/12.32 [1153]~P65(x11533)+~P4(x11534,x11532,x11533)+~P4(x11531,f4(x11533),x11533)+P4(f21(x11531,x11532,x11533),f21(x11531,x11534,x11533),x11533)
% 12.19/12.32 [1154]~P60(x11543)+~P5(x11541,x11544,x11543)+~P5(f4(x11543),x11542,x11543)+P5(f21(x11541,x11542,x11543),f21(x11544,x11542,x11543),x11543)
% 12.19/12.32 [1155]~P61(x11553)+~P5(x11551,x11554,x11553)+~P5(f4(x11553),x11552,x11553)+P5(f21(x11551,x11552,x11553),f21(x11554,x11552,x11553),x11553)
% 12.19/12.32 [1156]~P60(x11563)+~P5(x11562,x11564,x11563)+~P5(f4(x11563),x11561,x11563)+P5(f21(x11561,x11562,x11563),f21(x11561,x11564,x11563),x11563)
% 12.19/12.32 [1158]~P61(x11583)+~P5(x11582,x11584,x11583)+~P5(f4(x11583),x11581,x11583)+P5(f21(x11581,x11582,x11583),f21(x11581,x11584,x11583),x11583)
% 12.19/12.32 [1159]~P57(x11593)+~P5(x11592,x11594,x11593)+~P5(f4(x11593),x11591,x11593)+P5(f21(x11591,x11592,x11593),f21(x11591,x11594,x11593),x11593)
% 12.19/12.32 [1160]~P32(x11603)+~P5(x11601,x11604,x11603)+~P5(f4(x11603),x11602,x11603)+P5(f17(x11601,x11602,x11603),f17(x11604,x11602,x11603),x11603)
% 12.19/12.32 [1161]~P54(x11613)+~P4(x11611,x11614,x11613)+~P4(f4(x11613),x11612,x11613)+P4(f21(x11611,x11612,x11613),f21(x11614,x11612,x11613),x11613)
% 12.19/12.32 [1162]~P61(x11623)+~P4(x11622,x11624,x11623)+~P5(f4(x11623),x11621,x11623)+P4(f21(x11621,x11622,x11623),f21(x11621,x11624,x11623),x11623)
% 12.19/12.32 [1163]~P54(x11633)+~P4(x11632,x11634,x11633)+~P4(f4(x11633),x11631,x11633)+P4(f21(x11631,x11632,x11633),f21(x11631,x11634,x11633),x11633)
% 12.19/12.32 [1164]~P56(x11643)+~P4(x11642,x11644,x11643)+~P4(f4(x11643),x11641,x11643)+P4(f21(x11641,x11642,x11643),f21(x11641,x11644,x11643),x11643)
% 12.19/12.32 [1191]~P32(x11914)+~P5(f4(x11914),x11913,x11914)+~P5(f21(x11911,x11913,x11914),x11912,x11914)+P5(x11911,f17(x11912,x11913,x11914),x11914)
% 12.19/12.32 [1192]~P32(x11924)+~P5(f4(x11924),x11923,x11924)+~P4(f21(x11921,x11923,x11924),x11922,x11924)+P4(x11921,f17(x11922,x11923,x11924),x11924)
% 12.19/12.32 [1193]~P32(x11933)+~P5(f4(x11933),x11932,x11933)+~P5(x11931,f21(x11934,x11932,x11933),x11933)+P5(f17(x11931,x11932,x11933),x11934,x11933)
% 12.19/12.32 [1194]~P32(x11943)+~P5(f4(x11943),x11942,x11943)+~P4(x11941,f21(x11944,x11942,x11943),x11943)+P4(f17(x11941,x11942,x11943),x11944,x11943)
% 12.19/12.32 [1208]P5(x12082,x12081,x12083)+~P61(x12083)+P5(x12081,x12082,x12083)+~P5(f21(x12084,x12081,x12083),f21(x12084,x12082,x12083),x12083)
% 12.19/12.32 [1209]P5(x12092,x12091,x12093)+~P61(x12093)+P5(x12091,x12092,x12093)+~P5(f21(x12091,x12094,x12093),f21(x12092,x12094,x12093),x12093)
% 12.19/12.32 [1222]~P61(x12223)+P5(x12221,x12222,x12223)+~P5(f21(x12221,x12224,x12223),f21(x12222,x12224,x12223),x12223)+P5(x12224,f4(x12223),x12223)
% 12.19/12.32 [1223]~P61(x12233)+P5(x12231,x12232,x12233)+~P5(f21(x12234,x12231,x12233),f21(x12234,x12232,x12233),x12233)+P5(x12234,f4(x12233),x12233)
% 12.19/12.32 [1224]~P61(x12243)+P5(x12241,x12242,x12243)+~P5(f21(x12244,x12242,x12243),f21(x12244,x12241,x12243),x12243)+P5(f4(x12243),x12244,x12243)
% 12.19/12.32 [1225]~P61(x12253)+P5(x12251,x12252,x12253)+~P5(f21(x12252,x12254,x12253),f21(x12251,x12254,x12253),x12253)+P5(f4(x12253),x12254,x12253)
% 12.19/12.32 [1231]~P61(x12312)+~P5(f21(x12313,x12311,x12312),f21(x12314,x12311,x12312),x12312)+P5(x12311,f4(x12312),x12312)+P5(f4(x12312),x12311,x12312)
% 12.19/12.32 [1232]~P61(x12322)+~P5(f21(x12321,x12323,x12322),f21(x12321,x12324,x12322),x12322)+P5(x12321,f4(x12322),x12322)+P5(f4(x12322),x12321,x12322)
% 12.19/12.32 [1245]~P61(x12453)+P5(x12451,x12452,x12453)+~P5(f21(x12454,x12452,x12453),f21(x12454,x12451,x12453),x12453)+~P5(x12454,f4(x12453),x12453)
% 12.19/12.32 [1246]~P61(x12463)+P4(x12461,x12462,x12463)+~P4(f21(x12464,x12462,x12463),f21(x12464,x12461,x12463),x12463)+~P5(x12464,f4(x12463),x12463)
% 12.19/12.32 [1247]~P60(x12473)+P5(x12471,x12472,x12473)+~P5(f21(x12474,x12471,x12473),f21(x12474,x12472,x12473),x12473)+~P4(f4(x12473),x12474,x12473)
% 12.19/12.32 [1248]~P60(x12483)+P5(x12481,x12482,x12483)+~P5(f21(x12481,x12484,x12483),f21(x12482,x12484,x12483),x12483)+~P4(f4(x12483),x12484,x12483)
% 12.19/12.32 [1249]~P61(x12493)+P5(x12491,x12492,x12493)+~P5(f21(x12494,x12491,x12493),f21(x12494,x12492,x12493),x12493)+~P5(f4(x12493),x12494,x12493)
% 12.19/12.32 [1250]~P64(x12503)+P5(x12501,x12502,x12503)+~P5(f21(x12504,x12501,x12503),f21(x12504,x12502,x12503),x12503)+~P4(f4(x12503),x12504,x12503)
% 12.19/12.32 [1251]~P64(x12513)+P5(x12511,x12512,x12513)+~P5(f21(x12511,x12514,x12513),f21(x12512,x12514,x12513),x12513)+~P4(f4(x12513),x12514,x12513)
% 12.19/12.32 [1252]~P60(x12523)+P4(x12521,x12522,x12523)+~P4(f21(x12524,x12521,x12523),f21(x12524,x12522,x12523),x12523)+~P5(f4(x12523),x12524,x12523)
% 12.19/12.32 [1253]~P60(x12533)+P4(x12531,x12532,x12533)+~P4(f21(x12531,x12534,x12533),f21(x12532,x12534,x12533),x12533)+~P5(f4(x12533),x12534,x12533)
% 12.19/12.32 [1254]~P61(x12543)+P4(x12541,x12542,x12543)+~P4(f21(x12544,x12541,x12543),f21(x12544,x12542,x12543),x12543)+~P5(f4(x12543),x12544,x12543)
% 12.19/12.32 [1000]~P33(x10002)+~P53(x10002)+E(x10001,f4(x10002))+E(f17(f21(x10003,x10001,x10002),f21(x10004,x10001,x10002),x10002),f17(x10003,x10004,x10002))
% 12.19/12.32 [1001]~P33(x10012)+~P53(x10012)+E(x10011,f4(x10012))+E(f17(f21(x10011,x10013,x10012),f21(x10011,x10014,x10012),x10012),f17(x10013,x10014,x10012))
% 12.19/12.32 [1171]~P47(x11712)+E(x11711,f4(x11712))+~P4(x11713,f4(a1),a1)+~P4(f32(x11711,x11712),f21(x11713,f32(x11714,x11712),a1),a1)
% 12.19/12.32 [1363]~P62(x13633)+~P5(x13631,f20(x13632,x13634,x13633),x13633)+~P5(f18(x13632,x13634,x13633),x13631,x13633)+P5(f16(f18(x13631,x13632,x13633),x13633),x13634,x13633)
% 12.19/12.32 [1369]~P5(f21(x13694,x13691,a1),f21(x13692,x13693,a1),a1)+~P5(f4(a1),x13694,a1)+~P5(f4(a1),x13692,a1)+P5(f21(x13691,f12(x13692,a1),a1),f21(x13693,f12(x13694,a1),a1),a1)
% 12.19/12.32 [1370]~P5(f21(x13703,x13702,a1),f21(x13701,x13704,a1),a1)+~P5(f4(a1),x13703,a1)+~P5(f4(a1),x13701,a1)+P5(f21(f12(x13701,a1),x13702,a1),f21(f12(x13703,a1),x13704,a1),a1)
% 12.19/12.32 [1236]~P33(x12362)+~P53(x12362)+E(x12361,f4(x12362))+E(f17(f20(x12363,f21(x12364,x12361,x12362),x12362),x12361,x12362),f20(x12364,f17(x12363,x12361,x12362),x12362))
% 12.19/12.32 [1237]~P33(x12372)+~P53(x12372)+E(x12371,f4(x12372))+E(f17(f20(x12373,f21(x12374,x12371,x12372),x12372),x12371,x12372),f20(f17(x12373,x12371,x12372),x12374,x12372))
% 12.19/12.32 [1406]~P41(x14062)+E(x14061,f4(x14062))+E(x14063,f4(x14062))+E(f22(f21(f21(f12(x14063,x14062),f17(f18(x14063,x14061,x14062),x14064,x14062),x14062),f12(x14061,x14062),x14062),x14062),f17(f18(f12(x14063,x14062),f12(x14061,x14062),x14062),x14064,x14062))
% 12.19/12.32 [948]~P6(x9483)+~P5(x9484,x9485,x9483)+P5(x9481,x9482,x9483)+~E(f18(x9484,x9485,x9483),f18(x9481,x9482,x9483))
% 12.19/12.32 [949]~P6(x9493)+~P5(x9494,x9495,x9493)+P5(x9491,x9492,x9493)+~E(f18(x9491,x9492,x9493),f18(x9494,x9495,x9493))
% 12.19/12.32 [950]~P6(x9503)+~P4(x9505,x9504,x9503)+P4(x9501,x9502,x9503)+~E(f18(x9504,x9505,x9503),f18(x9502,x9501,x9503))
% 12.19/12.32 [951]~P6(x9513)+~P4(x9515,x9514,x9513)+P4(x9511,x9512,x9513)+~E(f18(x9512,x9511,x9513),f18(x9514,x9515,x9513))
% 12.19/12.32 [1135]~P31(x11353)+~P5(x11352,x11355,x11353)+~P5(x11351,x11354,x11353)+P5(f20(x11351,x11352,x11353),f20(x11354,x11355,x11353),x11353)
% 12.19/12.32 [1136]~P31(x11363)+~P5(x11362,x11365,x11363)+~P4(x11361,x11364,x11363)+P5(f20(x11361,x11362,x11363),f20(x11364,x11365,x11363),x11363)
% 12.19/12.32 [1137]~P31(x11373)+~P5(x11371,x11374,x11373)+~P4(x11372,x11375,x11373)+P5(f20(x11371,x11372,x11373),f20(x11374,x11375,x11373),x11373)
% 12.19/12.32 [1138]~P29(x11383)+~P4(x11382,x11385,x11383)+~P4(x11381,x11384,x11383)+P4(f20(x11381,x11382,x11383),f20(x11384,x11385,x11383),x11383)
% 12.19/12.32 [1186]~P6(x11864)+~P4(x11865,x11863,x11864)+~P4(x11861,f20(x11862,x11865,x11864),x11864)+P4(x11861,f20(x11862,x11863,x11864),x11864)
% 12.19/12.32 [1284]~P62(x12842)+~P5(f16(x12841,x12842),x12844,x12842)+~P5(f16(x12843,x12842),x12845,x12842)+P5(f21(f16(x12841,x12842),f16(x12843,x12842),x12842),f21(x12844,x12845,x12842),x12842)
% 12.19/12.32 [1300]~P43(x13003)+~P5(f32(x13002,x13003),x13005,a1)+~P5(f32(x13001,x13003),x13004,a1)+P5(f32(f21(x13001,x13002,x13003),x13003),f21(x13004,x13005,a1),a1)
% 12.19/12.32 [1378]~P53(x13782)+E(x13781,f4(x13782))+E(x13783,f4(x13782))+E(f17(f20(f21(x13784,x13781,x13782),f21(x13785,x13783,x13782),x13782),f21(x13783,x13781,x13782),x13782),f20(f17(x13784,x13783,x13782),f17(x13785,x13781,x13782),x13782))
% 12.19/12.32 [1379]~P53(x13792)+E(x13791,f4(x13792))+E(x13793,f4(x13792))+E(f17(f18(f21(x13794,x13791,x13792),f21(x13795,x13793,x13792),x13792),f21(x13793,x13791,x13792),x13792),f18(f17(x13794,x13793,x13792),f17(x13795,x13791,x13792),x13792))
% 12.19/12.32 [1301]~P2(x13013)+~E(f14(x13011,x13014,x13013),f14(x13015,x13014,x13013))+~E(f14(x13012,x13014,x13013),f14(x13016,x13014,x13013))+E(f14(f21(x13011,x13012,x13013),x13014,x13013),f14(f21(x13015,x13016,x13013),x13014,x13013))
% 12.19/12.32 [1302]~P2(x13023)+~E(f14(x13021,x13024,x13023),f14(x13025,x13024,x13023))+~E(f14(x13022,x13024,x13023),f14(x13026,x13024,x13023))+E(f14(f20(x13021,x13022,x13023),x13024,x13023),f14(f20(x13025,x13026,x13023),x13024,x13023))
% 12.19/12.32 [1303]~P3(x13033)+~E(f14(x13031,x13034,x13033),f14(x13035,x13034,x13033))+~E(f14(x13032,x13034,x13033),f14(x13036,x13034,x13033))+E(f14(f18(x13031,x13032,x13033),x13034,x13033),f14(f18(x13035,x13036,x13033),x13034,x13033))
% 12.19/12.32 [907]~P32(x9072)+~P33(x9072)+P5(f11(x9072),x9071,x9072)+~P5(f12(x9071,x9072),f11(x9072),x9072)+P4(x9071,f4(x9072),x9072)
% 12.19/12.32 [908]~P32(x9082)+~P33(x9082)+P4(f11(x9082),x9081,x9082)+~P4(f12(x9081,x9082),f11(x9082),x9082)+P4(x9081,f4(x9082),x9082)
% 12.19/12.32 [926]~P32(x9261)+~P33(x9261)+~P5(f4(x9261),x9262,x9261)+~P5(x9262,f11(x9261),x9261)+P5(f11(x9261),f12(x9262,x9261),x9261)
% 12.19/12.32 [927]~P32(x9271)+~P33(x9271)+~P5(f4(x9271),x9272,x9271)+~P4(x9272,f11(x9271),x9271)+P4(f11(x9271),f12(x9272,x9271),x9271)
% 12.19/12.32 [494]~P51(x4943)+E(x4941,x4942)+~E(f12(x4941,x4943),f12(x4942,x4943))+E(x4942,f4(x4943))+E(x4941,f4(x4943))
% 12.19/12.32 [932]~P30(x9322)+~P4(f4(x9322),x9321,x9322)+~P4(f4(x9322),x9323,x9322)+~E(f20(x9323,x9321,x9322),f4(x9322))+E(x9321,f4(x9322))
% 12.19/12.32 [933]~P30(x9332)+~P4(f4(x9332),x9333,x9332)+~P4(f4(x9332),x9331,x9332)+~E(f20(x9331,x9333,x9332),f4(x9332))+E(x9331,f4(x9332))
% 12.19/12.32 [1060]~P32(x10601)+~P33(x10601)+~P4(x10603,f4(x10601),x10601)+~P4(x10602,f4(x10601),x10601)+P4(f4(x10601),f17(x10602,x10603,x10601),x10601)
% 12.19/12.32 [1062]~P32(x10621)+~P33(x10621)+~P4(f4(x10621),x10623,x10621)+~P4(f4(x10621),x10622,x10621)+P4(f4(x10621),f17(x10622,x10623,x10621),x10621)
% 12.19/12.32 [1065]~P32(x10653)+~P33(x10653)+~P4(x10652,f4(x10653),x10653)+~P4(f4(x10653),x10651,x10653)+P4(f17(x10651,x10652,x10653),f4(x10653),x10653)
% 12.19/12.32 [1066]~P32(x10663)+~P33(x10663)+~P4(x10661,f4(x10663),x10663)+~P4(f4(x10663),x10662,x10663)+P4(f17(x10661,x10662,x10663),f4(x10663),x10663)
% 12.19/12.32 [1082]~P32(x10822)+~P33(x10822)+~P5(f17(x10823,x10821,x10822),f4(x10822),x10822)+P5(x10821,f4(x10822),x10822)+P5(x10823,f4(x10822),x10822)
% 12.19/12.32 [1083]~P32(x10832)+~P33(x10832)+~P4(f17(x10833,x10831,x10832),f4(x10832),x10832)+P4(x10831,f4(x10832),x10832)+P4(x10833,f4(x10832),x10832)
% 12.19/12.32 [1084]~P32(x10842)+~P33(x10842)+~P5(f4(x10842),f17(x10843,x10841,x10842),x10842)+P5(x10841,f4(x10842),x10842)+P5(f4(x10842),x10843,x10842)
% 12.19/12.32 [1085]~P32(x10852)+~P33(x10852)+~P5(f4(x10852),f17(x10851,x10853,x10852),x10852)+P5(x10851,f4(x10852),x10852)+P5(f4(x10852),x10853,x10852)
% 12.19/12.32 [1086]~P32(x10862)+~P33(x10862)+~P5(f4(x10862),f17(x10863,x10861,x10862),x10862)+P5(x10861,f4(x10862),x10862)+P5(f4(x10862),x10861,x10862)
% 12.19/12.32 [1087]~P32(x10872)+~P33(x10872)+~P5(f4(x10872),f17(x10871,x10873,x10872),x10872)+P5(x10871,f4(x10872),x10872)+P5(f4(x10872),x10871,x10872)
% 12.19/12.32 [1088]~P32(x10882)+~P33(x10882)+~P4(f4(x10882),f17(x10883,x10881,x10882),x10882)+P4(x10881,f4(x10882),x10882)+P4(f4(x10882),x10883,x10882)
% 12.19/12.32 [1089]~P32(x10892)+~P33(x10892)+~P4(f4(x10892),f17(x10891,x10893,x10892),x10892)+P4(x10891,f4(x10892),x10892)+P4(f4(x10892),x10893,x10892)
% 12.19/12.32 [1090]~P32(x10902)+~P33(x10902)+~P4(f4(x10902),f17(x10903,x10901,x10902),x10902)+P4(x10901,f4(x10902),x10902)+P4(f4(x10902),x10901,x10902)
% 12.19/12.32 [1091]~P32(x10912)+~P33(x10912)+~P4(f4(x10912),f17(x10911,x10913,x10912),x10912)+P4(x10911,f4(x10912),x10912)+P4(f4(x10912),x10911,x10912)
% 12.19/12.32 [1092]~P32(x10922)+~P33(x10922)+~P5(f17(x10923,x10921,x10922),f4(x10922),x10922)+P5(x10921,f4(x10922),x10922)+P5(f4(x10922),x10921,x10922)
% 12.19/12.32 [1093]~P32(x10932)+~P33(x10932)+~P5(f17(x10931,x10933,x10932),f4(x10932),x10932)+P5(x10931,f4(x10932),x10932)+P5(f4(x10932),x10931,x10932)
% 12.19/12.32 [1094]~P32(x10942)+~P33(x10942)+~P4(f17(x10943,x10941,x10942),f4(x10942),x10942)+P4(x10941,f4(x10942),x10942)+P4(f4(x10942),x10941,x10942)
% 12.19/12.32 [1095]~P32(x10952)+~P33(x10952)+~P4(f17(x10951,x10953,x10952),f4(x10952),x10952)+P4(x10951,f4(x10952),x10952)+P4(f4(x10952),x10951,x10952)
% 12.19/12.32 [1096]~P32(x10961)+~P33(x10961)+~P5(f17(x10962,x10963,x10961),f4(x10961),x10961)+P5(f4(x10961),x10962,x10961)+P5(f4(x10961),x10963,x10961)
% 12.19/12.32 [1097]~P32(x10971)+~P33(x10971)+~P4(f17(x10972,x10973,x10971),f4(x10971),x10971)+P4(f4(x10971),x10972,x10971)+P4(f4(x10971),x10973,x10971)
% 12.19/12.32 [1143]~P62(x11433)+~P4(x11431,f11(x11433),x11433)+~P4(f4(x11433),x11432,x11433)+~P4(f4(x11433),x11431,x11433)+P4(f21(x11431,x11432,x11433),x11432,x11433)
% 12.19/12.32 [1144]~P62(x11443)+~P4(x11442,f11(x11443),x11443)+~P4(f4(x11443),x11442,x11443)+~P4(f4(x11443),x11441,x11443)+P4(f21(x11441,x11442,x11443),x11441,x11443)
% 12.19/12.32 [647]~P33(x6472)+~P7(x6472)+~P53(x6472)+~E(f26(x6471,x6472),f4(x6472))+E(f26(x6471,x6472),f17(x6473,f4(x6472),x6472))
% 12.19/12.32 [648]~P33(x6482)+~P7(x6482)+~P53(x6482)+~E(f26(x6483,x6482),f4(x6482))+E(f17(x6481,f4(x6482),x6482),f26(x6483,x6482))
% 12.19/12.32 [656]~P33(x6563)+~P7(x6563)+~P53(x6563)+~E(f26(x6562,x6563),f4(x6563))+E(f17(x6561,f26(x6562,x6563),x6563),f4(x6563))
% 12.19/12.32 [716]~P33(x7162)+~P7(x7162)+~P53(x7162)+E(f26(x7161,x7162),f4(x7162))+~E(f26(x7161,x7162),f17(x7163,f4(x7162),x7162))
% 12.19/12.32 [717]~P33(x7172)+~P7(x7172)+~P53(x7172)+E(f26(x7171,x7172),f4(x7172))+~E(f17(x7173,f4(x7172),x7172),f26(x7171,x7172))
% 12.19/12.32 [912]~P33(x9122)+~P7(x9122)+~P53(x9122)+~E(f26(x9121,x9122),f4(x9122))+E(f17(f21(f26(x9121,x9122),x9123,x9122),x9123,x9122),f26(x9121,x9122))
% 12.19/12.32 [1009]~P28(x10094)+~P19(x10094)+~P5(x10091,x10093,x10094)+~P4(f4(x10094),x10092,x10094)+P5(x10091,f20(x10092,x10093,x10094),x10094)
% 12.19/12.32 [1010]~P28(x10104)+~P19(x10104)+~P4(x10101,x10103,x10104)+~P5(f4(x10104),x10102,x10104)+P5(x10101,f20(x10102,x10103,x10104),x10104)
% 12.19/12.32 [1011]~P28(x10114)+~P19(x10114)+~P4(x10111,x10113,x10114)+~P4(f4(x10114),x10112,x10114)+P4(x10111,f20(x10112,x10113,x10114),x10114)
% 12.19/12.32 [1012]~P28(x10124)+~P19(x10124)+~P4(x10121,x10122,x10124)+~P4(f4(x10124),x10123,x10124)+P4(x10121,f20(x10122,x10123,x10124),x10124)
% 12.19/12.32 [1165]~P32(x11653)+~P33(x11653)+~P4(x11654,x11651,x11653)+~P4(x11652,f4(x11653),x11653)+P4(f17(x11651,x11652,x11653),f17(x11654,x11652,x11653),x11653)
% 12.19/12.32 [1166]~P32(x11663)+~P33(x11663)+~P4(x11661,x11664,x11663)+~P4(f4(x11663),x11662,x11663)+P4(f17(x11661,x11662,x11663),f17(x11664,x11662,x11663),x11663)
% 12.19/12.32 [1199]~P32(x11994)+~P33(x11994)+~P5(f4(x11994),x11993,x11994)+~P5(f17(x11991,x11993,x11994),x11992,x11994)+P5(x11991,f21(x11992,x11993,x11994),x11994)
% 12.19/12.32 [1201]~P32(x12014)+~P33(x12014)+~P5(f4(x12014),x12013,x12014)+~P4(f17(x12011,x12013,x12014),x12012,x12014)+P4(x12011,f21(x12012,x12013,x12014),x12014)
% 12.19/12.32 [1203]~P32(x12033)+~P33(x12033)+~P5(f4(x12033),x12032,x12033)+~P5(x12031,f17(x12034,x12032,x12033),x12033)+P5(f21(x12031,x12032,x12033),x12034,x12033)
% 12.19/12.32 [1205]~P32(x12053)+~P33(x12053)+~P5(f4(x12053),x12052,x12053)+~P4(x12051,f17(x12054,x12052,x12053),x12053)+P4(f21(x12051,x12052,x12053),x12054,x12053)
% 12.19/12.32 [1321]~P32(x13213)+~P5(x13212,x13214,x13213)+~P5(x13211,f4(x13213),x13213)+~P5(f4(x13213),f21(x13212,x13214,x13213),x13213)+P5(f17(x13211,x13212,x13213),f17(x13211,x13214,x13213),x13213)
% 12.19/12.32 [1322]~P32(x13223)+~P5(x13224,x13222,x13223)+~P5(f4(x13223),x13221,x13223)+~P5(f4(x13223),f21(x13222,x13224,x13223),x13223)+P5(f17(x13221,x13222,x13223),f17(x13221,x13224,x13223),x13223)
% 12.19/12.32 [1323]~P32(x13233)+~P4(x13234,x13232,x13233)+~P4(f4(x13233),x13231,x13233)+~P5(f4(x13233),f21(x13232,x13234,x13233),x13233)+P4(f17(x13231,x13232,x13233),f17(x13231,x13234,x13233),x13233)
% 12.19/12.32 [934]~P53(x9342)+~E(f17(x9344,x9343,x9342),f17(x9345,x9341,x9342))+E(f21(x9344,x9341,x9342),f21(x9345,x9343,x9342))+E(x9341,f4(x9342))+E(x9343,f4(x9342))
% 12.19/12.32 [935]~P53(x9352)+~E(f21(x9354,x9353,x9352),f21(x9355,x9351,x9352))+E(f17(x9354,x9351,x9352),f17(x9355,x9353,x9352))+E(x9351,f4(x9352))+E(x9353,f4(x9352))
% 12.19/12.32 [1207]~P52(x12074)+~P8(x12074)+E(x12071,x12072)+E(x12073,f4(x12074))+~E(f20(x12075,f21(x12073,x12071,x12074),x12074),f20(x12075,f21(x12073,x12072,x12074),x12074))
% 12.19/12.32 [1365]~P52(x13655)+~P8(x13655)+E(x13651,x13652)+E(x13653,x13654)+~E(f20(f21(x13653,x13651,x13655),f21(x13654,x13652,x13655),x13655),f20(f21(x13653,x13652,x13655),f21(x13654,x13651,x13655),x13655))
% 12.19/12.32 [1077]~P32(x10772)+~P33(x10772)+P5(x10771,f4(x10772),x10772)+P5(f4(x10772),x10771,x10772)+~P5(x10773,f4(x10772),x10772)+P5(x10773,f17(x10774,x10771,x10772),x10772)
% 12.19/12.32 [1078]~P32(x10782)+~P33(x10782)+P5(x10781,f4(x10782),x10782)+P5(f4(x10782),x10781,x10782)+~P4(x10783,f4(x10782),x10782)+P4(x10783,f17(x10784,x10781,x10782),x10782)
% 12.19/12.32 [1079]~P32(x10792)+~P33(x10792)+P5(x10791,f4(x10792),x10792)+P5(f4(x10792),x10791,x10792)+~P5(f4(x10792),x10794,x10792)+P5(f17(x10793,x10791,x10792),x10794,x10792)
% 12.19/12.32 [1080]~P32(x10802)+~P33(x10802)+P5(x10801,f4(x10802),x10802)+P5(f4(x10802),x10801,x10802)+~P4(f4(x10802),x10804,x10802)+P4(f17(x10803,x10801,x10802),x10804,x10802)
% 12.19/12.32 [1139]~P32(x11392)+~P33(x11392)+P5(x11391,f4(x11392),x11392)+P5(f4(x11392),x11391,x11392)+~P5(x11393,f17(x11394,x11391,x11392),x11392)+P5(x11393,f4(x11392),x11392)
% 12.19/12.32 [1140]~P32(x11402)+~P33(x11402)+P5(x11401,f4(x11402),x11402)+P5(f4(x11402),x11401,x11402)+~P4(x11403,f17(x11404,x11401,x11402),x11402)+P4(x11403,f4(x11402),x11402)
% 12.19/12.32 [1141]~P32(x11412)+~P33(x11412)+P5(x11411,f4(x11412),x11412)+P5(f4(x11412),x11411,x11412)+~P5(f17(x11414,x11411,x11412),x11413,x11412)+P5(f4(x11412),x11413,x11412)
% 12.19/12.32 [1142]~P32(x11422)+~P33(x11422)+P5(x11421,f4(x11422),x11422)+P5(f4(x11422),x11421,x11422)+~P4(f17(x11424,x11421,x11422),x11423,x11422)+P4(f4(x11422),x11423,x11422)
% 12.19/12.32 [1255]~P32(x12552)+~P33(x12552)+~P5(f21(x12553,x12551,x12552),x12554,x12552)+P5(x12551,f4(x12552),x12552)+~P5(x12553,f4(x12552),x12552)+P5(x12553,f17(x12554,x12551,x12552),x12552)
% 12.19/12.32 [1256]~P32(x12562)+~P33(x12562)+~P4(f21(x12563,x12561,x12562),x12564,x12562)+P5(x12561,f4(x12562),x12562)+~P4(x12563,f4(x12562),x12562)+P4(x12563,f17(x12564,x12561,x12562),x12562)
% 12.19/12.32 [1257]~P32(x12572)+~P33(x12572)+~P5(x12573,f21(x12574,x12571,x12572),x12572)+P5(x12571,f4(x12572),x12572)+~P5(f4(x12572),x12574,x12572)+P5(f17(x12573,x12571,x12572),x12574,x12572)
% 12.19/12.32 [1258]~P32(x12582)+~P33(x12582)+~P4(x12583,f21(x12584,x12581,x12582),x12582)+P5(x12581,f4(x12582),x12582)+~P4(f4(x12582),x12584,x12582)+P4(f17(x12583,x12581,x12582),x12584,x12582)
% 12.19/12.32 [1259]~P32(x12591)+~P33(x12591)+~P5(x12594,f17(x12593,x12592,x12591),x12591)+~P5(x12592,f4(x12591),x12591)+P5(f4(x12591),x12592,x12591)+P5(x12593,f21(x12594,x12592,x12591),x12591)
% 12.19/12.32 [1260]~P32(x12601)+~P33(x12601)+~P5(x12604,f21(x12603,x12602,x12601),x12601)+~P5(x12602,f4(x12601),x12601)+P5(f4(x12601),x12602,x12601)+P5(x12603,f17(x12604,x12602,x12601),x12601)
% 12.19/12.32 [1261]~P32(x12611)+~P33(x12611)+~P5(x12614,f21(x12613,x12612,x12611),x12611)+~P5(x12613,f4(x12611),x12611)+P5(f4(x12611),x12612,x12611)+P5(x12613,f17(x12614,x12612,x12611),x12611)
% 12.19/12.32 [1262]~P32(x12621)+~P33(x12621)+~P4(x12624,f17(x12623,x12622,x12621),x12621)+~P5(x12622,f4(x12621),x12621)+P5(f4(x12621),x12622,x12621)+P4(x12623,f21(x12624,x12622,x12621),x12621)
% 12.19/12.32 [1263]~P32(x12631)+~P33(x12631)+~P4(x12634,f21(x12633,x12632,x12631),x12631)+~P5(x12632,f4(x12631),x12631)+P5(f4(x12631),x12632,x12631)+P4(x12633,f17(x12634,x12632,x12631),x12631)
% 12.19/12.32 [1264]~P32(x12641)+~P33(x12641)+~P4(x12644,f21(x12643,x12642,x12641),x12641)+~P4(x12643,f4(x12641),x12641)+P5(f4(x12641),x12642,x12641)+P4(x12643,f17(x12644,x12642,x12641),x12641)
% 12.19/12.32 [1265]~P32(x12651)+~P33(x12651)+~P5(f17(x12654,x12652,x12651),x12653,x12651)+~P5(x12652,f4(x12651),x12651)+P5(f4(x12651),x12652,x12651)+P5(f21(x12653,x12652,x12651),x12654,x12651)
% 12.19/12.32 [1266]~P32(x12661)+~P33(x12661)+~P5(f21(x12664,x12662,x12661),x12663,x12661)+~P5(x12662,f4(x12661),x12661)+P5(f4(x12661),x12662,x12661)+P5(f17(x12663,x12662,x12661),x12664,x12661)
% 12.19/12.32 [1267]~P32(x12671)+~P33(x12671)+~P4(f17(x12674,x12672,x12671),x12673,x12671)+~P5(x12672,f4(x12671),x12671)+P5(f4(x12671),x12672,x12671)+P4(f21(x12673,x12672,x12671),x12674,x12671)
% 12.19/12.32 [1268]~P32(x12681)+~P33(x12681)+~P4(f21(x12684,x12682,x12681),x12683,x12681)+~P5(x12682,f4(x12681),x12681)+P5(f4(x12681),x12682,x12681)+P4(f17(x12683,x12682,x12681),x12684,x12681)
% 12.19/12.32 [1269]~P32(x12691)+~P33(x12691)+~P5(f21(x12694,x12692,x12691),x12693,x12691)+~P5(f4(x12691),x12694,x12691)+P5(f4(x12691),x12692,x12691)+P5(f17(x12693,x12692,x12691),x12694,x12691)
% 12.19/12.32 [1270]~P32(x12701)+~P33(x12701)+~P4(f21(x12704,x12702,x12701),x12703,x12701)+~P4(f4(x12701),x12704,x12701)+P5(f4(x12701),x12702,x12701)+P4(f17(x12703,x12702,x12701),x12704,x12701)
% 12.19/12.32 [1324]~P32(x13243)+~P33(x13243)+~P4(x13242,x13244,x13243)+~P4(x13241,f4(x13243),x13243)+~P5(f4(x13243),f21(x13242,x13244,x13243),x13243)+P4(f17(x13241,x13242,x13243),f17(x13241,x13244,x13243),x13243)
% 12.19/12.32 [1347]~P32(x13474)+~P33(x13474)+~P5(x13473,f4(x13474),x13474)+~P5(x13472,f21(x13471,x13473,x13474),x13474)+~P5(f21(x13471,x13473,x13474),x13472,x13474)+P5(x13471,f17(x13472,x13473,x13474),x13474)
% 12.19/12.32 [1348]~P32(x13484)+~P33(x13484)+~P5(x13481,f4(x13484),x13484)+~P5(x13482,f21(x13481,x13483,x13484),x13484)+~P5(f21(x13481,x13483,x13484),x13482,x13484)+P5(x13481,f17(x13482,x13483,x13484),x13484)
% 12.19/12.32 [1349]~P32(x13494)+~P33(x13494)+~P5(x13493,f4(x13494),x13494)+~P4(x13492,f21(x13491,x13493,x13494),x13494)+~P4(f21(x13491,x13493,x13494),x13492,x13494)+P4(x13491,f17(x13492,x13493,x13494),x13494)
% 12.19/12.32 [1350]~P32(x13504)+~P33(x13504)+~P4(x13501,f4(x13504),x13504)+~P4(x13502,f21(x13501,x13503,x13504),x13504)+~P4(f21(x13501,x13503,x13504),x13502,x13504)+P4(x13501,f17(x13502,x13503,x13504),x13504)
% 12.19/12.32 [1351]~P32(x13513)+~P33(x13513)+~P5(x13512,f4(x13513),x13513)+~P5(x13511,f21(x13514,x13512,x13513),x13513)+~P5(f21(x13514,x13512,x13513),x13511,x13513)+P5(f17(x13511,x13512,x13513),x13514,x13513)
% 12.19/12.32 [1352]~P32(x13523)+~P33(x13523)+~P5(x13522,f4(x13523),x13523)+~P4(x13521,f21(x13524,x13522,x13523),x13523)+~P4(f21(x13524,x13522,x13523),x13521,x13523)+P4(f17(x13521,x13522,x13523),x13524,x13523)
% 12.19/12.32 [1353]~P32(x13533)+~P33(x13533)+~P5(f4(x13533),x13534,x13533)+~P5(x13531,f21(x13534,x13532,x13533),x13533)+~P5(f21(x13534,x13532,x13533),x13531,x13533)+P5(f17(x13531,x13532,x13533),x13534,x13533)
% 12.19/12.32 [1354]~P32(x13543)+~P33(x13543)+~P4(f4(x13543),x13544,x13543)+~P4(x13541,f21(x13544,x13542,x13543),x13543)+~P4(f21(x13544,x13542,x13543),x13541,x13543)+P4(f17(x13541,x13542,x13543),x13544,x13543)
% 12.19/12.32 [847]~P33(x8472)+~P7(x8472)+~P53(x8472)+~E(f17(x8473,x8471,x8472),f26(x8474,x8472))+E(x8471,f4(x8472))+E(x8473,f21(f26(x8474,x8472),x8471,x8472))
% 12.19/12.32 [848]~P33(x8482)+~P7(x8482)+~P53(x8482)+~E(f26(x8483,x8482),f17(x8484,x8481,x8482))+E(x8481,f4(x8482))+E(f21(f26(x8483,x8482),x8481,x8482),x8484)
% 12.19/12.32 [1285]~P60(x12853)+~P5(x12852,x12855,x12853)+~P5(x12851,x12854,x12853)+~P5(f4(x12853),x12854,x12853)+~P4(f4(x12853),x12852,x12853)+P5(f21(x12851,x12852,x12853),f21(x12854,x12855,x12853),x12853)
% 12.19/12.32 [1286]~P60(x12863)+~P5(x12862,x12865,x12863)+~P5(x12861,x12864,x12863)+~P4(f4(x12863),x12862,x12863)+~P4(f4(x12863),x12861,x12863)+P5(f21(x12861,x12862,x12863),f21(x12864,x12865,x12863),x12863)
% 12.19/12.32 [1287]~P60(x12873)+~P5(x12872,x12875,x12873)+~P4(x12871,x12874,x12873)+~P5(f4(x12873),x12871,x12873)+~P4(f4(x12873),x12872,x12873)+P5(f21(x12871,x12872,x12873),f21(x12874,x12875,x12873),x12873)
% 12.19/12.32 [1288]~P60(x12883)+~P5(x12881,x12884,x12883)+~P4(x12882,x12885,x12883)+~P5(f4(x12883),x12882,x12883)+~P4(f4(x12883),x12881,x12883)+P5(f21(x12881,x12882,x12883),f21(x12884,x12885,x12883),x12883)
% 12.19/12.32 [1289]~P32(x12893)+~P5(x12895,x12892,x12893)+~P4(x12891,x12894,x12893)+~P5(f4(x12893),x12895,x12893)+~P5(f4(x12893),x12891,x12893)+P5(f17(x12891,x12892,x12893),f17(x12894,x12895,x12893),x12893)
% 12.19/12.32 [1290]~P32(x12903)+~P5(x12901,x12904,x12903)+~P4(x12905,x12902,x12903)+~P5(f4(x12903),x12905,x12903)+~P4(f4(x12903),x12901,x12903)+P5(f17(x12901,x12902,x12903),f17(x12904,x12905,x12903),x12903)
% 12.19/12.32 [1291]~P68(x12913)+~P4(x12912,x12915,x12913)+~P4(x12911,x12914,x12913)+~P4(f4(x12913),x12914,x12913)+~P4(f4(x12913),x12912,x12913)+P4(f21(x12911,x12912,x12913),f21(x12914,x12915,x12913),x12913)
% 12.19/12.32 [1292]~P68(x12923)+~P4(x12922,x12925,x12923)+~P4(x12921,x12924,x12923)+~P4(f4(x12923),x12922,x12923)+~P4(f4(x12923),x12921,x12923)+P4(f21(x12921,x12922,x12923),f21(x12924,x12925,x12923),x12923)
% 12.19/12.32 [1293]~P32(x12933)+~P4(x12935,x12932,x12933)+~P4(x12931,x12934,x12933)+~P5(f4(x12933),x12935,x12933)+~P4(f4(x12933),x12931,x12933)+P4(f17(x12931,x12932,x12933),f17(x12934,x12935,x12933),x12933)
% 12.19/12.32 %EqnAxiom
% 12.19/12.32 [1]E(x11,x11)
% 12.19/12.32 [2]E(x22,x21)+~E(x21,x22)
% 12.19/12.32 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 12.19/12.32 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 12.19/12.32 [5]~E(x51,x52)+E(f6(x51),f6(x52))
% 12.19/12.32 [6]~E(x61,x62)+E(f37(x61),f37(x62))
% 12.19/12.32 [7]~E(x71,x72)+E(f18(x71,x73,x74),f18(x72,x73,x74))
% 12.19/12.32 [8]~E(x81,x82)+E(f18(x83,x81,x84),f18(x83,x82,x84))
% 12.19/12.32 [9]~E(x91,x92)+E(f18(x93,x94,x91),f18(x93,x94,x92))
% 12.19/12.32 [10]~E(x101,x102)+E(f21(x101,x103,x104),f21(x102,x103,x104))
% 12.19/12.32 [11]~E(x111,x112)+E(f21(x113,x111,x114),f21(x113,x112,x114))
% 12.19/12.32 [12]~E(x121,x122)+E(f21(x123,x124,x121),f21(x123,x124,x122))
% 12.19/12.32 [13]~E(x131,x132)+E(f38(x131),f38(x132))
% 12.19/12.32 [14]~E(x141,x142)+E(f11(x141),f11(x142))
% 12.19/12.32 [15]~E(x151,x152)+E(f7(x151),f7(x152))
% 12.19/12.32 [16]~E(x161,x162)+E(f16(x161,x163),f16(x162,x163))
% 12.19/12.32 [17]~E(x171,x172)+E(f16(x173,x171),f16(x173,x172))
% 12.19/12.32 [18]~E(x181,x182)+E(f20(x181,x183,x184),f20(x182,x183,x184))
% 12.19/12.32 [19]~E(x191,x192)+E(f20(x193,x191,x194),f20(x193,x192,x194))
% 12.19/12.32 [20]~E(x201,x202)+E(f20(x203,x204,x201),f20(x203,x204,x202))
% 12.19/12.32 [21]~E(x211,x212)+E(f26(x211,x213),f26(x212,x213))
% 12.19/12.32 [22]~E(x221,x222)+E(f26(x223,x221),f26(x223,x222))
% 12.19/12.32 [23]~E(x231,x232)+E(f32(x231,x233),f32(x232,x233))
% 12.19/12.32 [24]~E(x241,x242)+E(f32(x243,x241),f32(x243,x242))
% 12.19/12.32 [25]~E(x251,x252)+E(f14(x251,x253,x254),f14(x252,x253,x254))
% 12.19/12.32 [26]~E(x261,x262)+E(f14(x263,x261,x264),f14(x263,x262,x264))
% 12.19/12.32 [27]~E(x271,x272)+E(f14(x273,x274,x271),f14(x273,x274,x272))
% 12.19/12.32 [28]~E(x281,x282)+E(f17(x281,x283,x284),f17(x282,x283,x284))
% 12.19/12.32 [29]~E(x291,x292)+E(f17(x293,x291,x294),f17(x293,x292,x294))
% 12.19/12.32 [30]~E(x301,x302)+E(f17(x303,x304,x301),f17(x303,x304,x302))
% 12.19/12.32 [31]~E(x311,x312)+E(f12(x311,x313),f12(x312,x313))
% 12.19/12.32 [32]~E(x321,x322)+E(f12(x323,x321),f12(x323,x322))
% 12.19/12.32 [33]~E(x331,x332)+E(f24(x331),f24(x332))
% 12.19/12.32 [34]~E(x341,x342)+E(f22(x341,x343),f22(x342,x343))
% 12.19/12.32 [35]~E(x351,x352)+E(f22(x353,x351),f22(x353,x352))
% 12.19/12.32 [36]~E(x361,x362)+E(f35(x361,x363,x364),f35(x362,x363,x364))
% 12.19/12.32 [37]~E(x371,x372)+E(f35(x373,x371,x374),f35(x373,x372,x374))
% 12.19/12.32 [38]~E(x381,x382)+E(f35(x383,x384,x381),f35(x383,x384,x382))
% 12.19/12.32 [39]~E(x391,x392)+E(f15(x391,x393,x394),f15(x392,x393,x394))
% 12.19/12.32 [40]~E(x401,x402)+E(f15(x403,x401,x404),f15(x403,x402,x404))
% 12.19/12.32 [41]~E(x411,x412)+E(f15(x413,x414,x411),f15(x413,x414,x412))
% 12.19/12.32 [42]~E(x421,x422)+E(f31(x421,x423),f31(x422,x423))
% 12.19/12.32 [43]~E(x431,x432)+E(f31(x433,x431),f31(x433,x432))
% 12.19/12.32 [44]~E(x441,x442)+E(f28(x441,x443),f28(x442,x443))
% 12.19/12.32 [45]~E(x451,x452)+E(f28(x453,x451),f28(x453,x452))
% 12.19/12.32 [46]~E(x461,x462)+E(f29(x461),f29(x462))
% 12.19/12.32 [47]~E(x471,x472)+E(f19(x471,x473),f19(x472,x473))
% 12.19/12.32 [48]~E(x481,x482)+E(f19(x483,x481),f19(x483,x482))
% 12.19/12.32 [49]~E(x491,x492)+E(f36(x491,x493),f36(x492,x493))
% 12.19/12.32 [50]~E(x501,x502)+E(f36(x503,x501),f36(x503,x502))
% 12.19/12.32 [51]~E(x511,x512)+E(f9(x511),f9(x512))
% 12.19/12.32 [52]~E(x521,x522)+E(f25(x521,x523),f25(x522,x523))
% 12.19/12.32 [53]~E(x531,x532)+E(f25(x533,x531),f25(x533,x532))
% 12.19/12.32 [54]~E(x541,x542)+E(f13(x541,x543),f13(x542,x543))
% 12.19/12.32 [55]~E(x551,x552)+E(f13(x553,x551),f13(x553,x552))
% 12.19/12.32 [56]~E(x561,x562)+E(f30(x561),f30(x562))
% 12.19/12.32 [57]~E(x571,x572)+E(f10(x571,x573),f10(x572,x573))
% 12.19/12.32 [58]~E(x581,x582)+E(f10(x583,x581),f10(x583,x582))
% 12.19/12.32 [59]~E(x591,x592)+E(f34(x591,x593,x594),f34(x592,x593,x594))
% 12.19/12.32 [60]~E(x601,x602)+E(f34(x603,x601,x604),f34(x603,x602,x604))
% 12.19/12.32 [61]~E(x611,x612)+E(f34(x613,x614,x611),f34(x613,x614,x612))
% 12.19/12.32 [62]~E(x621,x622)+E(f33(x621,x623),f33(x622,x623))
% 12.19/12.32 [63]~E(x631,x632)+E(f33(x633,x631),f33(x633,x632))
% 12.19/12.32 [64]~E(x641,x642)+E(f8(x641),f8(x642))
% 12.19/12.32 [65]~E(x651,x652)+E(f27(x651,x653),f27(x652,x653))
% 12.19/12.32 [66]~E(x661,x662)+E(f27(x663,x661),f27(x663,x662))
% 12.19/12.32 [67]~P1(x671)+P1(x672)+~E(x671,x672)
% 12.19/12.32 [68]~P43(x681)+P43(x682)+~E(x681,x682)
% 12.19/12.32 [69]~P26(x691)+P26(x692)+~E(x691,x692)
% 12.19/12.32 [70]~P2(x701)+P2(x702)+~E(x701,x702)
% 12.19/12.32 [71]P5(x712,x713,x714)+~E(x711,x712)+~P5(x711,x713,x714)
% 12.19/12.32 [72]P5(x723,x722,x724)+~E(x721,x722)+~P5(x723,x721,x724)
% 12.19/12.32 [73]P5(x733,x734,x732)+~E(x731,x732)+~P5(x733,x734,x731)
% 12.19/12.32 [74]~P6(x741)+P6(x742)+~E(x741,x742)
% 12.19/12.32 [75]P4(x752,x753,x754)+~E(x751,x752)+~P4(x751,x753,x754)
% 12.19/12.32 [76]P4(x763,x762,x764)+~E(x761,x762)+~P4(x763,x761,x764)
% 12.19/12.32 [77]P4(x773,x774,x772)+~E(x771,x772)+~P4(x773,x774,x771)
% 12.19/12.32 [78]~P32(x781)+P32(x782)+~E(x781,x782)
% 12.19/12.32 [79]~P33(x791)+P33(x792)+~E(x791,x792)
% 12.19/12.32 [80]~P53(x801)+P53(x802)+~E(x801,x802)
% 12.19/12.32 [81]~P7(x811)+P7(x812)+~E(x811,x812)
% 12.19/12.32 [82]~P29(x821)+P29(x822)+~E(x821,x822)
% 12.19/12.32 [83]~P61(x831)+P61(x832)+~E(x831,x832)
% 12.19/12.32 [84]~P52(x841)+P52(x842)+~E(x841,x842)
% 12.19/12.32 [85]~P34(x851)+P34(x852)+~E(x851,x852)
% 12.19/12.32 [86]~P65(x861)+P65(x862)+~E(x861,x862)
% 12.19/12.32 [87]~P51(x871)+P51(x872)+~E(x871,x872)
% 12.19/12.32 [88]~P19(x881)+P19(x882)+~E(x881,x882)
% 12.19/12.32 [89]~P60(x891)+P60(x892)+~E(x891,x892)
% 12.19/12.32 [90]~P11(x901)+P11(x902)+~E(x901,x902)
% 12.19/12.32 [91]~P8(x911)+P8(x912)+~E(x911,x912)
% 12.19/12.32 [92]~P39(x921)+P39(x922)+~E(x921,x922)
% 12.19/12.32 [93]~P21(x931)+P21(x932)+~E(x931,x932)
% 12.19/12.32 [94]~P35(x941)+P35(x942)+~E(x941,x942)
% 12.19/12.32 [95]~P62(x951)+P62(x952)+~E(x951,x952)
% 12.19/12.32 [96]~P40(x961)+P40(x962)+~E(x961,x962)
% 12.19/12.32 [97]~P48(x971)+P48(x972)+~E(x971,x972)
% 12.19/12.32 [98]~P28(x981)+P28(x982)+~E(x981,x982)
% 12.19/12.32 [99]~P27(x991)+P27(x992)+~E(x991,x992)
% 12.19/12.32 [100]~P72(x1001)+P72(x1002)+~E(x1001,x1002)
% 12.19/12.32 [101]~P45(x1011)+P45(x1012)+~E(x1011,x1012)
% 12.19/12.32 [102]~P31(x1021)+P31(x1022)+~E(x1021,x1022)
% 12.19/12.32 [103]~P63(x1031)+P63(x1032)+~E(x1031,x1032)
% 12.19/12.32 [104]~P47(x1041)+P47(x1042)+~E(x1041,x1042)
% 12.19/12.32 [105]~P22(x1051)+P22(x1052)+~E(x1051,x1052)
% 12.19/12.32 [106]~P55(x1061)+P55(x1062)+~E(x1061,x1062)
% 12.19/12.32 [107]~P25(x1071)+P25(x1072)+~E(x1071,x1072)
% 12.19/12.32 [108]~P54(x1081)+P54(x1082)+~E(x1081,x1082)
% 12.19/12.32 [109]~P42(x1091)+P42(x1092)+~E(x1091,x1092)
% 12.19/12.32 [110]~P9(x1101)+P9(x1102)+~E(x1101,x1102)
% 12.19/12.32 [111]~P56(x1111)+P56(x1112)+~E(x1111,x1112)
% 12.19/12.32 [112]~P41(x1121)+P41(x1122)+~E(x1121,x1122)
% 12.19/12.32 [113]~P67(x1131)+P67(x1132)+~E(x1131,x1132)
% 12.19/12.32 [114]~P30(x1141)+P30(x1142)+~E(x1141,x1142)
% 12.19/12.32 [115]~P23(x1151)+P23(x1152)+~E(x1151,x1152)
% 12.19/12.32 [116]~P74(x1161)+P74(x1162)+~E(x1161,x1162)
% 12.19/12.32 [117]~P16(x1171)+P16(x1172)+~E(x1171,x1172)
% 12.19/12.32 [118]~P36(x1181)+P36(x1182)+~E(x1181,x1182)
% 12.19/12.32 [119]~P66(x1191)+P66(x1192)+~E(x1191,x1192)
% 12.19/12.32 [120]~P15(x1201)+P15(x1202)+~E(x1201,x1202)
% 12.19/12.32 [121]~P68(x1211)+P68(x1212)+~E(x1211,x1212)
% 12.19/12.32 [122]~P58(x1221)+P58(x1222)+~E(x1221,x1222)
% 12.19/12.32 [123]~P75(x1231)+P75(x1232)+~E(x1231,x1232)
% 12.19/12.32 [124]~P13(x1241)+P13(x1242)+~E(x1241,x1242)
% 12.19/12.32 [125]~P3(x1251)+P3(x1252)+~E(x1251,x1252)
% 12.19/12.32 [126]~P12(x1261)+P12(x1262)+~E(x1261,x1262)
% 12.19/12.32 [127]~P69(x1271)+P69(x1272)+~E(x1271,x1272)
% 12.19/12.32 [128]~P71(x1281)+P71(x1282)+~E(x1281,x1282)
% 12.19/12.32 [129]~P50(x1291)+P50(x1292)+~E(x1291,x1292)
% 12.19/12.32 [130]~P18(x1301)+P18(x1302)+~E(x1301,x1302)
% 12.19/12.32 [131]~P24(x1311)+P24(x1312)+~E(x1311,x1312)
% 12.19/12.32 [132]~P64(x1321)+P64(x1322)+~E(x1321,x1322)
% 12.19/12.32 [133]~P59(x1331)+P59(x1332)+~E(x1331,x1332)
% 12.19/12.32 [134]~P17(x1341)+P17(x1342)+~E(x1341,x1342)
% 12.19/12.32 [135]~P38(x1351)+P38(x1352)+~E(x1351,x1352)
% 12.19/12.32 [136]~P20(x1361)+P20(x1362)+~E(x1361,x1362)
% 12.19/12.32 [137]~P49(x1371)+P49(x1372)+~E(x1371,x1372)
% 12.19/12.32 [138]~P10(x1381)+P10(x1382)+~E(x1381,x1382)
% 12.19/12.32 [139]~P70(x1391)+P70(x1392)+~E(x1391,x1392)
% 12.19/12.32 [140]~P73(x1401)+P73(x1402)+~E(x1401,x1402)
% 12.19/12.32 [141]~P46(x1411)+P46(x1412)+~E(x1411,x1412)
% 12.19/12.32 [142]~P57(x1421)+P57(x1422)+~E(x1421,x1422)
% 12.19/12.32 [143]~P44(x1431)+P44(x1432)+~E(x1431,x1432)
% 12.19/12.32 [144]~P37(x1441)+P37(x1442)+~E(x1441,x1442)
% 12.19/12.32 [145]~P14(x1451)+P14(x1452)+~E(x1451,x1452)
% 12.19/12.32
% 12.19/12.32 %-------------------------------------------
% 12.51/12.35 cnf(1411,plain,
% 12.51/12.35 (~P5(x14111,x14111,a39)),
% 12.51/12.35 inference(scs_inference,[],[290,342,2,580])).
% 12.51/12.35 cnf(1413,plain,
% 12.51/12.35 (~P5(x14131,x14131,a2)),
% 12.51/12.35 inference(scs_inference,[],[207,290,342,2,580,579])).
% 12.51/12.35 cnf(1415,plain,
% 12.51/12.35 (~P5(f24(f11(a1)),f11(a1),a1)),
% 12.51/12.35 inference(scs_inference,[],[411,207,290,342,2,580,579,705])).
% 12.51/12.35 cnf(1416,plain,
% 12.51/12.35 (~P5(x14161,x14161,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1419,plain,
% 12.51/12.35 (~P5(x14191,x14191,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1423,plain,
% 12.51/12.35 (P5(f4(a1),f11(a1),a1)),
% 12.51/12.35 inference(scs_inference,[],[411,1416,207,290,389,342,365,2,580,579,705,704,596,559])).
% 12.51/12.35 cnf(1443,plain,
% 12.51/12.35 (~P5(f11(a1),f24(f11(a1)),a1)),
% 12.51/12.35 inference(scs_inference,[],[411,1416,1419,207,290,389,342,405,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709])).
% 12.51/12.35 cnf(1444,plain,
% 12.51/12.35 (~P5(x14441,x14441,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1447,plain,
% 12.51/12.35 (~P5(x14471,x14471,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1450,plain,
% 12.51/12.35 (P4(x14501,x14501,a1)),
% 12.51/12.35 inference(rename_variables,[],[388])).
% 12.51/12.35 cnf(1452,plain,
% 12.51/12.35 (P4(x14521,x14521,a1)),
% 12.51/12.35 inference(rename_variables,[],[388])).
% 12.51/12.35 cnf(1453,plain,
% 12.51/12.35 (~E(a23,f4(a1))),
% 12.51/12.35 inference(scs_inference,[],[388,1450,411,1416,1419,1444,1447,207,290,389,342,405,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72])).
% 12.51/12.35 cnf(1454,plain,
% 12.51/12.35 (~P5(x14541,x14541,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1456,plain,
% 12.51/12.35 (~P5(x14561,x14561,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1458,plain,
% 12.51/12.35 (~P4(a23,f4(a1),a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,411,1416,1419,1444,1447,1454,207,289,290,389,342,343,405,396,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751])).
% 12.51/12.35 cnf(1461,plain,
% 12.51/12.35 (P4(f4(a1),f25(x14611,x14612),a1)),
% 12.51/12.35 inference(rename_variables,[],[397])).
% 12.51/12.35 cnf(1463,plain,
% 12.51/12.35 (~P5(f25(x14631,x14632),f4(a1),a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,411,1416,1419,1444,1447,1454,207,289,290,389,342,343,405,409,396,397,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677])).
% 12.51/12.35 cnf(1465,plain,
% 12.51/12.35 (P4(x14651,x14651,a39)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,411,1416,1419,1444,1447,1454,206,207,289,290,389,342,343,405,409,396,397,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632])).
% 12.51/12.35 cnf(1467,plain,
% 12.51/12.35 (P4(f4(a1),f37(f4(a1)),a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,411,1416,1419,1444,1447,1454,206,207,289,290,389,390,342,343,405,409,396,397,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862])).
% 12.51/12.35 cnf(1468,plain,
% 12.51/12.35 (P4(x14681,x14681,a1)),
% 12.51/12.35 inference(rename_variables,[],[388])).
% 12.51/12.35 cnf(1473,plain,
% 12.51/12.35 (P4(x14731,x14731,a1)),
% 12.51/12.35 inference(rename_variables,[],[388])).
% 12.51/12.35 cnf(1479,plain,
% 12.51/12.35 (~P4(a23,f22(a23,a1),a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,411,1416,1419,1444,1447,1454,160,203,206,207,289,290,294,389,390,342,343,405,409,396,397,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791])).
% 12.51/12.35 cnf(1483,plain,
% 12.51/12.35 (~P5(f4(a1),f22(f4(a1),a1),a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,411,1416,1419,1444,1447,1454,1456,160,203,206,207,225,227,289,290,294,389,390,342,343,405,409,396,397,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789])).
% 12.51/12.35 cnf(1484,plain,
% 12.51/12.35 (~P5(x14841,x14841,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1489,plain,
% 12.51/12.35 (~P5(x14891,x14891,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1492,plain,
% 12.51/12.35 (~P5(x14921,x14921,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1495,plain,
% 12.51/12.35 (~P5(x14951,x14951,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1497,plain,
% 12.51/12.35 (~P5(f22(f4(a1),a1),f4(a1),a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,151,160,203,206,207,225,227,289,290,294,389,390,342,343,405,409,396,397,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813])).
% 12.51/12.35 cnf(1498,plain,
% 12.51/12.35 (~P5(x14981,x14981,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1501,plain,
% 12.51/12.35 (~P5(x15011,x15011,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1504,plain,
% 12.51/12.35 (~P5(x15041,x15041,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1506,plain,
% 12.51/12.35 (~P4(f4(a1),f22(a23,a1),a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,151,160,203,206,207,225,227,289,290,294,389,390,342,343,405,409,396,397,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810])).
% 12.51/12.35 cnf(1508,plain,
% 12.51/12.35 (~P5(f4(a1),f22(a23,a1),a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,151,160,203,206,207,225,227,289,290,294,389,390,412,342,343,405,409,396,397,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809])).
% 12.51/12.35 cnf(1510,plain,
% 12.51/12.35 (~P4(f16(f11(a1),a1),f4(a1),a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,151,160,203,206,207,225,227,289,290,294,389,390,412,342,343,405,409,396,397,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678])).
% 12.51/12.35 cnf(1512,plain,
% 12.51/12.35 (P5(f4(a1),f16(f11(a1),a1),a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,151,160,203,206,207,225,227,289,290,294,389,390,412,342,343,405,409,396,397,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595])).
% 12.51/12.35 cnf(1514,plain,
% 12.51/12.35 (~E(f22(a5,a3),f4(a3))),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,151,160,201,203,206,207,225,227,289,290,294,389,390,412,402,342,343,405,409,396,397,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458])).
% 12.51/12.35 cnf(1516,plain,
% 12.51/12.35 (~E(f16(f11(a1),a1),f4(a1))),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,151,160,201,203,206,207,225,227,289,290,294,389,390,412,402,342,343,405,409,396,397,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457])).
% 12.51/12.35 cnf(1526,plain,
% 12.51/12.35 (~P4(f4(a1),f20(f22(a23,a1),f22(a23,a1),a1),a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,151,160,162,193,200,201,203,206,207,225,227,289,290,294,389,390,412,402,342,343,405,409,396,397,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989])).
% 12.51/12.35 cnf(1528,plain,
% 12.51/12.35 (~P5(f4(a1),f20(f4(a1),f4(a1),a1),a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,151,160,162,193,200,201,203,206,207,225,227,289,290,294,389,390,412,402,342,343,405,409,396,397,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988])).
% 12.51/12.35 cnf(1529,plain,
% 12.51/12.35 (~P5(x15291,x15291,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1534,plain,
% 12.51/12.35 (~P5(x15341,x15341,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1551,plain,
% 12.51/12.35 (P4(x15511,x15511,a1)),
% 12.51/12.35 inference(rename_variables,[],[388])).
% 12.51/12.35 cnf(1554,plain,
% 12.51/12.35 (P4(x15541,x15541,a1)),
% 12.51/12.35 inference(rename_variables,[],[388])).
% 12.51/12.35 cnf(1557,plain,
% 12.51/12.35 (~P5(x15571,x15571,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1560,plain,
% 12.51/12.35 (~P5(x15601,x15601,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1563,plain,
% 12.51/12.35 (~P5(x15631,x15631,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1566,plain,
% 12.51/12.35 (~P5(x15661,x15661,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1570,plain,
% 12.51/12.35 (~P4(f11(a1),f4(a1),a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,146,149,151,160,162,181,189,193,200,201,203,205,206,207,225,227,289,290,294,389,390,412,402,342,343,405,409,396,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692])).
% 12.51/12.35 cnf(1573,plain,
% 12.51/12.35 (P5(f4(a1),f25(x15731,x15732),a1)),
% 12.51/12.35 inference(rename_variables,[],[396])).
% 12.51/12.35 cnf(1574,plain,
% 12.51/12.35 (P4(x15741,x15741,a1)),
% 12.51/12.35 inference(rename_variables,[],[388])).
% 12.51/12.35 cnf(1576,plain,
% 12.51/12.35 (E(x15761,f20(f21(f18(x15762,x15762,a1),x15763,a1),x15761,a1))),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,146,149,151,160,162,175,178,181,189,193,200,201,203,205,206,207,225,227,289,290,294,389,390,412,402,342,343,405,409,396,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775])).
% 12.51/12.35 cnf(1582,plain,
% 12.51/12.35 (~E(f20(x15821,f11(a1),a1),x15821)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,146,149,151,160,162,171,175,178,181,189,193,200,201,203,205,206,207,225,227,289,290,294,389,390,412,402,342,343,405,409,396,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608])).
% 12.51/12.35 cnf(1585,plain,
% 12.51/12.35 (~P5(x15851,x15851,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1590,plain,
% 12.51/12.35 (P4(x15901,x15901,a1)),
% 12.51/12.35 inference(rename_variables,[],[388])).
% 12.51/12.35 cnf(1595,plain,
% 12.51/12.35 (~P5(x15951,x15951,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1598,plain,
% 12.51/12.35 (~P5(x15981,x15981,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1601,plain,
% 12.51/12.35 (~P5(x16011,x16011,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1606,plain,
% 12.51/12.35 (~P5(x16061,x16061,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1609,plain,
% 12.51/12.35 (~P5(x16091,x16091,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1621,plain,
% 12.51/12.35 (~P5(x16211,f21(f17(x16211,a23,a1),a23,a1),a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,146,149,151,153,154,155,160,162,171,173,175,178,181,189,190,193,195,200,201,203,205,206,207,225,227,289,290,294,307,389,390,412,402,342,343,405,413,409,396,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193])).
% 12.51/12.35 cnf(1622,plain,
% 12.51/12.35 (~P5(x16221,x16221,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1624,plain,
% 12.51/12.35 (~P5(f21(f17(x16241,a23,a1),a23,a1),x16241,a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,146,149,151,153,154,155,160,162,171,173,175,178,181,189,190,193,195,200,201,203,205,206,207,225,227,289,290,294,307,389,390,412,402,342,343,405,413,409,396,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191])).
% 12.51/12.35 cnf(1625,plain,
% 12.51/12.35 (~P5(x16251,x16251,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1628,plain,
% 12.51/12.35 (~P5(x16281,x16281,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1631,plain,
% 12.51/12.35 (~P5(x16311,x16311,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1633,plain,
% 12.51/12.35 (~P4(f21(f22(a23,a1),f22(a23,a1),a1),f4(a1),a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,146,149,151,153,154,155,160,162,164,171,173,175,178,181,189,190,193,195,200,201,203,205,206,207,225,227,289,290,294,307,389,390,412,402,342,343,405,413,409,396,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076])).
% 12.51/12.35 cnf(1644,plain,
% 12.51/12.35 (P4(x16441,x16441,a1)),
% 12.51/12.35 inference(rename_variables,[],[388])).
% 12.51/12.35 cnf(1650,plain,
% 12.51/12.35 (~E(f21(f11(a1),f11(a1),a1),f4(a1))),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,146,149,151,153,154,155,160,162,164,171,173,175,178,181,189,190,193,195,200,201,203,205,206,207,225,227,246,289,290,294,307,324,389,390,412,402,342,343,405,413,409,396,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615])).
% 12.51/12.35 cnf(1654,plain,
% 12.51/12.35 (~P5(f21(f4(a1),x16541,a1),f21(f4(a1),x16542,a1),a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,146,149,151,153,154,155,160,162,164,171,173,175,178,181,189,190,193,195,200,201,203,205,206,207,225,227,246,289,290,294,307,313,324,389,390,412,402,342,343,405,413,409,396,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232])).
% 12.51/12.35 cnf(1655,plain,
% 12.51/12.35 (~P5(x16551,x16551,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1658,plain,
% 12.51/12.35 (~P5(x16581,x16581,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1660,plain,
% 12.51/12.35 (~P4(f20(a23,x16601,a1),x16601,a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,146,149,151,153,154,155,160,162,164,171,173,175,178,181,189,190,193,195,200,201,203,205,206,207,225,227,238,246,275,289,290,294,307,313,324,389,390,412,402,342,343,405,413,409,396,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010])).
% 12.51/12.35 cnf(1661,plain,
% 12.51/12.35 (~P5(x16611,x16611,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1663,plain,
% 12.51/12.35 (~P5(f20(f4(a1),x16631,a1),x16631,a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,146,149,151,153,154,155,160,162,164,171,173,175,178,181,189,190,193,195,200,201,203,205,206,207,225,227,238,246,275,289,290,294,307,313,324,389,390,412,402,342,343,405,413,409,396,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009])).
% 12.51/12.35 cnf(1664,plain,
% 12.51/12.35 (~P5(x16641,x16641,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1665,plain,
% 12.51/12.35 (P4(x16651,x16651,a1)),
% 12.51/12.35 inference(rename_variables,[],[388])).
% 12.51/12.35 cnf(1669,plain,
% 12.51/12.35 (~P5(x16691,f17(f21(x16691,a23,a1),a23,a1),a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,146,149,151,153,154,155,160,162,164,171,173,175,178,181,189,190,193,195,200,201,203,205,206,207,225,227,238,246,275,289,290,294,307,313,324,389,390,412,402,342,343,405,413,409,396,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203])).
% 12.51/12.35 cnf(1670,plain,
% 12.51/12.35 (~P5(x16701,x16701,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1674,plain,
% 12.51/12.35 (~P5(f17(f21(x16741,a23,a1),a23,a1),x16741,a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,146,149,151,153,154,155,160,162,164,171,173,175,178,181,189,190,193,195,200,201,203,205,206,207,225,227,238,246,275,289,290,294,307,313,324,389,390,412,402,342,343,405,413,409,396,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199])).
% 12.51/12.35 cnf(1675,plain,
% 12.51/12.35 (~P5(x16751,x16751,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1677,plain,
% 12.51/12.35 (~P4(f17(f22(a23,a1),f22(a23,a1),a1),f4(a1),a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,146,149,151,153,154,155,160,162,164,171,173,175,178,181,189,190,193,195,200,201,203,205,206,207,225,227,238,246,275,289,290,294,307,313,324,389,390,412,402,342,343,405,413,409,396,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097])).
% 12.51/12.35 cnf(1680,plain,
% 12.51/12.35 (~P5(x16801,x16801,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1683,plain,
% 12.51/12.35 (~P5(x16831,x16831,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1686,plain,
% 12.51/12.35 (~P5(x16861,x16861,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1690,plain,
% 12.51/12.35 (~P4(f4(a1),f17(f22(a23,a1),a23,a1),a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,146,149,151,153,154,155,160,162,164,171,173,175,178,181,189,190,193,195,200,201,203,205,206,207,225,227,238,246,275,289,290,294,307,313,324,389,390,412,402,342,343,405,413,409,396,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088])).
% 12.51/12.35 cnf(1692,plain,
% 12.51/12.35 (~P5(f4(a1),f17(f4(a1),x16921,a1),a1)),
% 12.51/12.35 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,146,149,151,153,154,155,160,162,164,171,173,175,178,181,189,190,193,195,200,201,203,205,206,207,225,227,238,246,275,289,290,294,307,313,324,389,390,412,402,342,343,405,413,409,396,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087])).
% 12.51/12.35 cnf(1693,plain,
% 12.51/12.35 (~P5(x16931,x16931,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1696,plain,
% 12.51/12.35 (~P5(x16961,x16961,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1703,plain,
% 12.51/12.35 (P4(x17031,x17031,a1)),
% 12.51/12.35 inference(rename_variables,[],[388])).
% 12.51/12.35 cnf(1706,plain,
% 12.51/12.35 (P4(f37(x17061),f11(a1),a1)),
% 12.51/12.35 inference(rename_variables,[],[394])).
% 12.51/12.35 cnf(1709,plain,
% 12.51/12.35 (~P5(x17091,x17091,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1714,plain,
% 12.51/12.35 (~P5(x17141,x17141,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1717,plain,
% 12.51/12.35 (~P5(x17171,x17171,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1720,plain,
% 12.51/12.35 (P4(x17201,x17201,a1)),
% 12.51/12.35 inference(rename_variables,[],[388])).
% 12.51/12.35 cnf(1723,plain,
% 12.51/12.35 (~P5(x17231,x17231,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1726,plain,
% 12.51/12.35 (~P5(x17261,x17261,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1729,plain,
% 12.51/12.35 (~P5(x17291,x17291,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1732,plain,
% 12.51/12.35 (P5(f4(a1),f25(x17321,x17322),a1)),
% 12.51/12.35 inference(rename_variables,[],[396])).
% 12.51/12.35 cnf(1733,plain,
% 12.51/12.35 (P4(x17331,x17331,a1)),
% 12.51/12.35 inference(rename_variables,[],[388])).
% 12.51/12.35 cnf(1734,plain,
% 12.51/12.35 (P4(x17341,x17341,a1)),
% 12.51/12.35 inference(rename_variables,[],[388])).
% 12.51/12.35 cnf(1737,plain,
% 12.51/12.35 (P4(x17371,x17371,a1)),
% 12.51/12.35 inference(rename_variables,[],[388])).
% 12.51/12.35 cnf(1740,plain,
% 12.51/12.35 (P4(x17401,x17401,a1)),
% 12.51/12.35 inference(rename_variables,[],[388])).
% 12.51/12.35 cnf(1741,plain,
% 12.51/12.35 (~P5(x17411,x17411,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1742,plain,
% 12.51/12.35 (P4(x17421,x17421,a1)),
% 12.51/12.35 inference(rename_variables,[],[388])).
% 12.51/12.35 cnf(1745,plain,
% 12.51/12.35 (P4(x17451,x17451,a1)),
% 12.51/12.35 inference(rename_variables,[],[388])).
% 12.51/12.35 cnf(1746,plain,
% 12.51/12.35 (~P5(x17461,x17461,a1)),
% 12.51/12.35 inference(rename_variables,[],[411])).
% 12.51/12.35 cnf(1747,plain,
% 12.51/12.35 (P4(x17471,x17471,a1)),
% 12.51/12.35 inference(rename_variables,[],[388])).
% 12.51/12.35 cnf(1750,plain,
% 12.51/12.36 (P4(x17501,x17501,a1)),
% 12.51/12.36 inference(rename_variables,[],[388])).
% 12.51/12.36 cnf(1753,plain,
% 12.51/12.36 (P4(x17531,x17531,a1)),
% 12.51/12.36 inference(rename_variables,[],[388])).
% 12.51/12.36 cnf(1757,plain,
% 12.51/12.36 (P4(f4(a1),f11(a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,171,173,175,178,181,189,190,193,195,200,201,203,205,206,207,225,227,232,238,246,275,289,290,294,307,313,324,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658])).
% 12.51/12.36 cnf(1761,plain,
% 12.51/12.36 (P4(x17611,x17611,a2)),
% 12.51/12.36 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,171,173,175,178,181,189,190,193,195,200,201,203,205,206,207,225,227,232,238,246,275,289,290,291,294,307,313,324,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490])).
% 12.51/12.36 cnf(1769,plain,
% 12.51/12.36 (P4(x17691,f16(x17691,a2),a2)),
% 12.51/12.36 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,169,171,173,175,178,181,189,190,193,195,200,201,203,204,205,206,207,225,227,232,238,246,275,289,290,291,294,307,313,324,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563])).
% 12.51/12.36 cnf(1782,plain,
% 12.51/12.36 (P4(x17821,x17821,a1)),
% 12.51/12.36 inference(rename_variables,[],[388])).
% 12.51/12.36 cnf(1785,plain,
% 12.51/12.36 (P4(x17851,x17851,a1)),
% 12.51/12.36 inference(rename_variables,[],[388])).
% 12.51/12.36 cnf(1799,plain,
% 12.51/12.36 (P4(f11(a1),f24(f11(a1)),a1)),
% 12.51/12.36 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,169,171,173,175,178,181,189,190,193,195,200,201,203,204,205,206,207,225,227,232,238,246,275,289,290,291,294,307,313,324,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703])).
% 12.51/12.36 cnf(1800,plain,
% 12.51/12.36 (P4(x18001,x18001,a1)),
% 12.51/12.36 inference(rename_variables,[],[388])).
% 12.51/12.36 cnf(1803,plain,
% 12.51/12.36 (P4(x18031,x18031,a1)),
% 12.51/12.36 inference(rename_variables,[],[388])).
% 12.51/12.36 cnf(1805,plain,
% 12.51/12.36 (P5(f4(a1),f24(a23),a1)),
% 12.51/12.36 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,169,171,173,175,178,181,189,190,193,195,200,201,203,204,205,206,207,225,227,232,238,246,275,289,290,291,294,307,313,324,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698])).
% 12.51/12.36 cnf(1848,plain,
% 12.51/12.36 (E(f14(f4(a1),x18481,x18482),f14(f6(a5),x18481,x18482))),
% 12.51/12.36 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,169,171,173,175,178,181,189,190,193,195,200,201,203,204,205,206,207,225,227,232,238,246,275,289,290,291,294,307,313,324,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25])).
% 12.51/12.36 cnf(1854,plain,
% 12.51/12.36 (E(f20(x18541,f4(a1),x18542),f20(x18541,f6(a5),x18542))),
% 12.51/12.36 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,169,171,173,175,178,181,189,190,193,195,200,201,203,204,205,206,207,225,227,232,238,246,275,289,290,291,294,307,313,324,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19])).
% 12.51/12.36 cnf(1865,plain,
% 12.51/12.36 (E(f18(x18651,f4(a1),x18652),f18(x18651,f6(a5),x18652))),
% 12.51/12.36 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,169,171,173,175,178,181,189,190,193,195,200,201,203,204,205,206,207,225,227,232,238,246,275,289,290,291,294,307,313,324,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8])).
% 12.51/12.36 cnf(1870,plain,
% 12.51/12.36 (~P5(f21(x18701,x18701,a1),f4(a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,169,171,173,175,178,181,189,190,193,195,200,201,203,204,205,206,207,225,227,232,238,246,275,289,290,291,294,307,313,324,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906])).
% 12.51/12.36 cnf(1872,plain,
% 12.51/12.36 (P5(x18721,f20(x18721,f11(a1),a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,169,171,173,175,178,181,189,190,193,195,200,201,203,204,205,206,207,225,227,232,238,246,275,289,290,291,294,307,313,324,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757])).
% 12.51/12.36 cnf(1874,plain,
% 12.51/12.36 (P4(f4(a1),f21(x18741,x18741,a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,169,171,173,175,178,181,189,190,193,195,200,201,203,204,205,206,207,225,227,232,238,246,275,289,290,291,294,307,313,324,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738])).
% 12.51/12.36 cnf(1878,plain,
% 12.51/12.36 (E(f20(f18(x18781,x18782,a1),x18782,a1),x18781)),
% 12.51/12.36 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,169,171,173,175,178,181,189,190,193,195,200,201,203,204,205,206,207,225,227,232,238,246,275,289,290,291,294,307,313,324,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726])).
% 12.51/12.36 cnf(1892,plain,
% 12.51/12.36 (~P5(f16(x18921,a1),f4(a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,169,171,173,175,178,181,189,190,193,195,200,201,203,204,205,206,207,225,227,232,238,246,275,289,290,291,294,307,313,324,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674])).
% 12.51/12.36 cnf(1910,plain,
% 12.51/12.36 (~P4(f11(a39),f4(a39),a39)),
% 12.51/12.36 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,169,171,173,175,178,181,189,190,193,195,196,200,201,203,204,205,206,207,218,225,227,232,238,246,275,289,290,291,294,307,313,324,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617])).
% 12.51/12.36 cnf(1912,plain,
% 12.51/12.36 (~P5(f11(a39),f4(a39),a39)),
% 12.51/12.36 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,169,171,173,175,178,181,189,190,193,195,196,200,201,203,204,205,206,207,218,225,227,232,238,246,275,289,290,291,294,307,313,324,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616])).
% 12.51/12.36 cnf(1920,plain,
% 12.51/12.36 (P4(f4(a1),f16(x19201,a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,169,171,173,175,178,181,189,190,193,195,196,200,201,203,204,205,206,207,218,225,227,232,238,246,275,289,290,291,294,307,313,324,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581])).
% 12.51/12.36 cnf(1922,plain,
% 12.51/12.36 (P4(f4(a39),f11(a39),a39)),
% 12.51/12.36 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,169,171,173,175,178,181,189,190,193,195,196,200,201,203,204,205,206,207,218,225,227,232,238,246,275,289,290,291,294,307,313,324,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545])).
% 12.51/12.36 cnf(1924,plain,
% 12.51/12.36 (P5(f4(a39),f11(a39),a39)),
% 12.51/12.36 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,169,171,173,175,178,181,189,190,193,195,196,200,201,203,204,205,206,207,218,225,227,232,238,246,275,289,290,291,294,307,313,324,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544])).
% 12.51/12.36 cnf(1944,plain,
% 12.51/12.36 (E(f17(x19441,f11(a1),a1),x19441)),
% 12.51/12.36 inference(scs_inference,[],[388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,169,171,172,173,175,178,181,189,190,193,195,196,200,201,203,204,205,206,207,218,219,220,225,227,232,238,246,275,276,283,286,289,290,291,294,307,313,324,330,338,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509])).
% 12.51/12.36 cnf(1976,plain,
% 12.51/12.36 (~E(f10(x19761,f10(f28(a40,a1),f4(a1))),f10(x19762,f28(a40,a3)))),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,169,171,172,173,175,178,181,189,190,193,195,196,200,201,203,204,205,206,207,218,219,220,225,227,232,238,246,251,264,275,276,281,283,286,289,290,291,294,307,313,324,330,338,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463])).
% 12.51/12.36 cnf(2012,plain,
% 12.51/12.36 (E(f14(f14(x20121,x20122,a39),x20122,a39),f14(x20121,x20122,a39))),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,169,171,172,173,175,178,181,189,190,193,195,196,200,201,203,204,205,206,207,218,219,220,225,227,232,238,246,251,264,275,276,281,283,286,289,290,291,294,307,313,321,324,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852])).
% 12.51/12.36 cnf(2018,plain,
% 12.51/12.36 (E(f20(f22(x20181,a1),f20(x20182,x20181,a1),a1),x20182)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,169,171,172,173,175,178,181,189,190,193,195,196,200,201,203,204,205,206,207,218,219,220,225,227,232,238,246,251,264,275,276,281,283,286,289,290,291,294,307,313,321,324,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794])).
% 12.51/12.36 cnf(2048,plain,
% 12.51/12.36 (E(f21(f19(x20481,a1),f16(x20481,a1),a1),x20481)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,167,169,171,172,173,175,178,180,181,189,190,193,195,196,200,201,203,204,205,206,207,218,219,220,225,227,232,238,246,251,264,275,276,281,283,286,289,290,291,294,307,313,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620])).
% 12.51/12.36 cnf(2056,plain,
% 12.51/12.36 (E(f20(f22(x20561,a3),x20561,a3),f4(a3))),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,167,169,171,172,173,175,178,180,181,189,190,193,195,196,200,201,203,204,205,206,207,218,219,220,225,227,232,238,246,251,264,275,276,281,283,286,289,290,291,294,307,313,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572])).
% 12.51/12.36 cnf(2230,plain,
% 12.51/12.36 (E(f14(f18(f14(x22301,x22302,a2),x22303,a2),x22302,a2),f14(f18(x22301,x22303,a2),x22302,a2))),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,167,169,171,172,173,175,178,180,181,189,190,191,193,194,195,196,200,201,203,204,205,206,207,211,212,215,217,218,219,220,225,226,227,229,230,232,235,238,246,250,251,252,262,264,266,275,276,281,283,286,289,290,291,294,296,307,313,314,316,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215])).
% 12.51/12.36 cnf(2232,plain,
% 12.51/12.36 (E(f14(f18(x22321,f14(x22322,x22323,a2),a2),x22323,a2),f14(f18(x22321,x22322,a2),x22323,a2))),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,167,169,171,172,173,175,178,180,181,189,190,191,193,194,195,196,200,201,203,204,205,206,207,211,212,215,217,218,219,220,225,226,227,229,230,232,235,238,246,250,251,252,262,264,266,275,276,281,283,286,289,290,291,294,296,307,313,314,316,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212])).
% 12.51/12.36 cnf(2353,plain,
% 12.51/12.36 (~E(a2,x23531)+P3(x23531)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,167,169,171,172,173,175,178,180,181,189,190,191,193,194,195,196,200,201,203,204,205,206,207,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,246,249,250,251,252,254,258,262,264,266,270,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125])).
% 12.51/12.36 cnf(2386,plain,
% 12.51/12.36 (P8(f20(f21(f18(x23861,x23861,a1),x23862,a1),a1,a1))),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,167,169,171,172,173,175,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,244,246,249,250,251,252,254,258,262,264,266,268,270,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91])).
% 12.51/12.36 cnf(2393,plain,
% 12.51/12.36 (P52(f20(f21(f18(x23931,x23931,a1),x23932,a1),a1,a1))),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,146,149,151,153,154,155,156,160,162,164,167,169,171,172,173,175,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,244,246,249,250,251,252,254,258,262,264,266,268,270,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84])).
% 12.51/12.36 cnf(2405,plain,
% 12.51/12.36 (P1(f20(f21(f18(x24051,x24051,a1),x24052,a1),a1,a1))),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,153,154,155,156,160,162,164,167,169,171,172,173,175,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,241,244,246,249,250,251,252,254,258,262,264,266,268,270,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,397,408,358,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67])).
% 12.51/12.36 cnf(2406,plain,
% 12.51/12.36 (~P4(f25(x24061,x24062),f22(a23,a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,153,154,155,156,160,162,164,167,169,171,172,173,175,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,241,244,246,249,250,251,252,254,258,262,264,266,268,270,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,397,1461,408,358,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849])).
% 12.51/12.36 cnf(2414,plain,
% 12.51/12.36 (~P5(f20(x24141,f11(a1),a1),x24141,a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1733,1742,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,153,154,155,156,160,162,164,167,169,171,172,173,175,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,241,244,246,249,250,251,252,254,258,262,264,266,268,270,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,397,1461,408,358,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744])).
% 12.51/12.36 cnf(2440,plain,
% 12.51/12.36 (~E(f20(x24401,f10(f28(a40,a1),f4(a1)),a3),f20(x24401,f28(a40,a3),a3))),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,153,154,155,156,160,162,164,167,169,171,172,173,175,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,241,244,246,249,250,251,252,254,255,258,262,264,266,268,270,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,397,1461,408,358,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752])).
% 12.51/12.36 cnf(2444,plain,
% 12.51/12.36 (~E(f18(f10(f28(a40,a1),f4(a1)),f28(a40,a3),a3),f4(a3))),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,153,154,155,156,160,162,164,167,169,171,172,173,175,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,241,244,246,249,250,251,252,254,255,258,262,264,266,268,270,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,397,1461,408,358,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599])).
% 12.51/12.36 cnf(2446,plain,
% 12.51/12.36 (E(f20(x24461,f4(a2),a2),x24461)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,153,154,155,156,160,162,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,241,244,246,249,250,251,252,254,255,258,262,264,266,268,270,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,397,1461,408,358,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546])).
% 12.51/12.36 cnf(2468,plain,
% 12.51/12.36 (P4(f4(a1),f22(f4(a1),a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,153,154,155,156,160,162,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,241,244,246,249,250,251,252,254,255,258,262,264,266,268,270,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,397,1461,408,358,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770])).
% 12.51/12.36 cnf(2480,plain,
% 12.51/12.36 (~E(f33(f22(a23,a1),a1),f22(a23,a1))),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,153,154,155,156,160,162,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,241,244,246,249,250,251,252,254,255,258,262,264,266,268,270,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574])).
% 12.51/12.36 cnf(2490,plain,
% 12.51/12.36 (~P4(f20(a23,x24901,a1),f20(f4(a1),x24901,a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,153,154,155,156,160,162,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,241,244,246,249,250,251,252,254,255,258,262,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176])).
% 12.51/12.36 cnf(2492,plain,
% 12.51/12.36 (~P4(f20(x24921,a23,a1),f20(x24921,f4(a1),a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,153,154,155,156,160,162,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,241,244,246,249,250,251,252,254,255,258,262,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175])).
% 12.51/12.36 cnf(2494,plain,
% 12.51/12.36 (P5(f20(x24941,f4(a1),a1),f20(x24941,a23,a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,153,154,155,156,160,162,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,241,244,246,249,250,251,252,254,255,258,262,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016])).
% 12.51/12.36 cnf(2498,plain,
% 12.51/12.36 (P5(f20(f4(a1),x24981,a1),f20(a23,x24981,a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,153,154,155,156,160,162,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014])).
% 12.51/12.36 cnf(2502,plain,
% 12.51/12.36 (~P4(f18(a23,f4(a1),a1),f4(a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,153,154,155,156,160,162,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953])).
% 12.51/12.36 cnf(2508,plain,
% 12.51/12.36 (P5(f18(f4(a1),a23,a1),f4(a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,153,154,155,156,160,162,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896])).
% 12.51/12.36 cnf(2514,plain,
% 12.51/12.36 (P4(f22(f16(f22(x25141,a2),a2),a2),x25141,a2)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,160,162,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844])).
% 12.51/12.36 cnf(2516,plain,
% 12.51/12.36 (P4(x25161,f22(f22(f16(f22(f22(x25161,a2),a2),a2),a2),a2),a2)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,160,162,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839])).
% 12.51/12.36 cnf(2518,plain,
% 12.51/12.36 (P5(f22(a23,a1),f22(f4(a1),a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,160,162,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806])).
% 12.51/12.36 cnf(2534,plain,
% 12.51/12.36 (P5(f22(a23,a1),f4(a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,160,162,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785])).
% 12.51/12.36 cnf(2564,plain,
% 12.51/12.36 (P5(f20(f18(f4(a1),a23,a1),f18(f4(a1),a23,a1),a1),f4(a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904])).
% 12.51/12.36 cnf(2566,plain,
% 12.51/12.36 (P5(f20(f22(a23,a1),f22(a23,a1),a1),f4(a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903])).
% 12.51/12.36 cnf(2568,plain,
% 12.51/12.36 (P4(f4(a1),f20(f4(a1),f4(a1),a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902])).
% 12.51/12.36 cnf(2602,plain,
% 12.51/12.36 (~E(f20(f22(f10(f28(a40,a1),f4(a1)),a1),f20(x26021,f28(a40,a3),a1),a1),x26021)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913])).
% 12.51/12.36 cnf(2684,plain,
% 12.51/12.36 (~P5(f20(f21(f18(x26841,x26842,a1),x26843,a1),f20(f21(f18(x26842,x26841,a1),x26843,a1),x26844,a1),a1),x26844,a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,157,158,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404])).
% 12.51/12.36 cnf(2686,plain,
% 12.51/12.36 (~P5(f4(a1),f20(f21(f18(x26861,x26861,a1),x26862,a1),f20(f21(f18(x26861,x26861,a1),x26862,a1),f4(a1),a1),a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,157,158,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402])).
% 12.51/12.36 cnf(2708,plain,
% 12.51/12.36 (~E(f18(f10(f28(a40,a1),f4(a1)),f28(a40,a3),a2),f4(a2))),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,157,158,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612])).
% 12.51/12.36 cnf(2732,plain,
% 12.51/12.36 (P4(f12(f4(a1),a1),f11(a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,157,158,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802])).
% 12.51/12.36 cnf(2738,plain,
% 12.51/12.36 (P4(f4(a1),f12(f4(a1),a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,157,158,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798])).
% 12.51/12.36 cnf(2744,plain,
% 12.51/12.36 (P4(f21(a23,f4(a1),a1),f21(a23,a23,a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,157,158,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164])).
% 12.51/12.36 cnf(2752,plain,
% 12.51/12.36 (P5(f21(a23,f4(a1),a1),f21(a23,a23,a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,157,158,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159])).
% 12.51/12.36 cnf(2754,plain,
% 12.51/12.36 (P5(f21(f25(x27541,x27542),f4(a1),a1),f21(f25(x27541,x27542),f25(x27541,x27542),a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,157,158,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158])).
% 12.51/12.36 cnf(2756,plain,
% 12.51/12.36 (P5(f21(f11(a1),f4(a1),a1),f21(f11(a1),f11(a1),a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,157,158,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156])).
% 12.51/12.36 cnf(2768,plain,
% 12.51/12.36 (P5(f21(f18(f4(a1),a23,a1),f4(a1),a1),f21(f18(f4(a1),a23,a1),f18(f4(a1),a23,a1),a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,157,158,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149])).
% 12.51/12.36 cnf(2774,plain,
% 12.51/12.36 (~P4(f4(a1),f17(f11(a1),f22(a23,a1),a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,157,158,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008])).
% 12.51/12.36 cnf(2792,plain,
% 12.51/12.36 (P4(f4(a1),f17(f21(a23,a23,a1),a23,a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,157,158,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192])).
% 12.51/12.36 cnf(2798,plain,
% 12.51/12.36 (P4(f21(f4(a1),f4(a1),a1),f4(a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,157,158,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056])).
% 12.51/12.36 cnf(2812,plain,
% 12.51/12.36 (P4(f20(f4(a39),f4(a39),a39),f4(a39),a39)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,157,158,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044])).
% 12.51/12.36 cnf(2814,plain,
% 12.51/12.36 (P5(f20(f18(f4(a1),a23,a1),f4(a1),a1),f4(a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,157,158,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043])).
% 12.51/12.36 cnf(2816,plain,
% 12.51/12.36 (P5(f20(f4(a1),f18(f4(a1),a23,a1),a1),f4(a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,157,158,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042])).
% 12.51/12.36 cnf(2850,plain,
% 12.51/12.36 (P5(f16(f18(f4(a1),f4(a1),a1),a1),a23,a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,151,152,153,154,155,156,157,158,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363])).
% 12.51/12.36 cnf(2880,plain,
% 12.51/12.36 (~E(f20(x28801,f21(f11(a1),f11(a1),a1),a1),f20(x28801,f21(f11(a1),f4(a1),a1),a1))),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,150,151,152,153,154,155,156,157,158,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363,1284,888,1379,1378,1244,1243,1242,1388,1303,1302,1301,1406,1012,1011,1207])).
% 12.51/12.36 cnf(2886,plain,
% 12.51/12.36 (P4(f20(f22(a23,a1),f22(a23,a1),a1),f4(a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,150,151,152,153,154,155,156,157,158,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363,1284,888,1379,1378,1244,1243,1242,1388,1303,1302,1301,1406,1012,1011,1207,1166,1165,1095])).
% 12.51/12.36 cnf(2888,plain,
% 12.51/12.36 (P4(f17(f4(a1),f4(a1),a1),f4(a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,150,151,152,153,154,155,156,157,158,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363,1284,888,1379,1378,1244,1243,1242,1388,1303,1302,1301,1406,1012,1011,1207,1166,1165,1095,1066])).
% 12.51/12.36 cnf(2892,plain,
% 12.51/12.36 (P4(f4(a1),f17(f4(a1),f4(a1),a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,150,151,152,153,154,155,156,157,158,160,162,163,164,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363,1284,888,1379,1378,1244,1243,1242,1388,1303,1302,1301,1406,1012,1011,1207,1166,1165,1095,1066,1065,1062])).
% 12.51/12.36 cnf(2897,plain,
% 12.51/12.36 (P4(x28971,x28971,a1)),
% 12.51/12.36 inference(rename_variables,[],[388])).
% 12.51/12.36 cnf(2901,plain,
% 12.51/12.36 (P4(x29011,x29011,a1)),
% 12.51/12.36 inference(rename_variables,[],[388])).
% 12.51/12.36 cnf(2903,plain,
% 12.51/12.36 (P5(f21(f4(a39),f4(a39),a39),f21(f11(a39),f11(a39),a39),a39)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,2897,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,150,151,152,153,154,155,156,157,158,160,162,163,164,165,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363,1284,888,1379,1378,1244,1243,1242,1388,1303,1302,1301,1406,1012,1011,1207,1166,1165,1095,1066,1065,1062,1060,933,932,1286])).
% 12.51/12.36 cnf(2907,plain,
% 12.51/12.36 (~P4(f21(f4(a1),f22(a23,a1),a1),f22(a23,a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,2897,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,150,151,152,153,154,155,156,157,158,160,162,163,164,165,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363,1284,888,1379,1378,1244,1243,1242,1388,1303,1302,1301,1406,1012,1011,1207,1166,1165,1095,1066,1065,1062,1060,933,932,1286,1285,1268])).
% 12.51/12.36 cnf(2913,plain,
% 12.51/12.36 (~P5(f17(f21(f4(a1),x29131,a1),f22(a23,a1),a1),f4(a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,2897,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,150,151,152,153,154,155,156,157,158,160,162,163,164,165,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363,1284,888,1379,1378,1244,1243,1242,1388,1303,1302,1301,1406,1012,1011,1207,1166,1165,1095,1066,1065,1062,1060,933,932,1286,1285,1268,1267,1266,1265])).
% 12.51/12.36 cnf(2919,plain,
% 12.51/12.36 (~P5(x29191,f21(f20(a23,f17(x29191,f22(a23,a1),a1),a1),f22(a23,a1),a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,2897,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,150,151,152,153,154,155,156,157,158,160,162,163,164,165,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363,1284,888,1379,1378,1244,1243,1242,1388,1303,1302,1301,1406,1012,1011,1207,1166,1165,1095,1066,1065,1062,1060,933,932,1286,1285,1268,1267,1266,1265,1263,1262,1260])).
% 12.51/12.36 cnf(2923,plain,
% 12.51/12.36 (P4(f17(f21(a23,x29231,a1),x29231,a1),a23,a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,2897,2901,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,150,151,152,153,154,155,156,157,158,160,162,163,164,165,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363,1284,888,1379,1378,1244,1243,1242,1388,1303,1302,1301,1406,1012,1011,1207,1166,1165,1095,1066,1065,1062,1060,933,932,1286,1285,1268,1267,1266,1265,1263,1262,1260,1259,1354])).
% 12.51/12.36 cnf(2935,plain,
% 12.51/12.36 (~P4(f4(a1),f24(f22(a23,a1)),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,2897,2901,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,150,151,152,153,154,155,156,157,158,160,162,163,164,165,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363,1284,888,1379,1378,1244,1243,1242,1388,1303,1302,1301,1406,1012,1011,1207,1166,1165,1095,1066,1065,1062,1060,933,932,1286,1285,1268,1267,1266,1265,1263,1262,1260,1259,1354,1349,578,706,416,711,710])).
% 12.51/12.36 cnf(2939,plain,
% 12.51/12.36 (P5(f4(a1),f37(f17(f20(f4(a1),a23,a1),f20(f11(a1),f11(a1),a1),a1)),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,2897,2901,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,150,151,152,153,154,155,156,157,158,160,162,163,164,165,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363,1284,888,1379,1378,1244,1243,1242,1388,1303,1302,1301,1406,1012,1011,1207,1166,1165,1095,1066,1065,1062,1060,933,932,1286,1285,1268,1267,1266,1265,1263,1262,1260,1259,1354,1349,578,706,416,711,710,676,861])).
% 12.51/12.36 cnf(2951,plain,
% 12.51/12.36 (P4(f21(f29(x29511),a23,a1),f21(f11(a1),a23,a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,2897,2901,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,150,151,152,153,154,155,156,157,158,160,162,163,164,165,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,393,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363,1284,888,1379,1378,1244,1243,1242,1388,1303,1302,1301,1406,1012,1011,1207,1166,1165,1095,1066,1065,1062,1060,933,932,1286,1285,1268,1267,1266,1265,1263,1262,1260,1259,1354,1349,578,706,416,711,710,676,861,475,1235,1234,1233,1108,1107])).
% 12.51/12.36 cnf(2957,plain,
% 12.51/12.36 (~P4(f25(x29571,a23),f25(x29571,f4(a1)),a1)+~P5(f11(a1),x29571,a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,2897,2901,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,150,151,152,153,154,155,156,157,158,160,162,163,164,165,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,393,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363,1284,888,1379,1378,1244,1243,1242,1388,1303,1302,1301,1406,1012,1011,1207,1166,1165,1095,1066,1065,1062,1060,933,932,1286,1285,1268,1267,1266,1265,1263,1262,1260,1259,1354,1349,578,706,416,711,710,676,861,475,1235,1234,1233,1108,1107,1106,1105,944])).
% 12.51/12.36 cnf(2959,plain,
% 12.51/12.36 (~P5(f25(x29591,a23),f25(x29591,f4(a1)),a1)+~P5(f11(a1),x29591,a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,2897,2901,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,150,151,152,153,154,155,156,157,158,160,162,163,164,165,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,393,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363,1284,888,1379,1378,1244,1243,1242,1388,1303,1302,1301,1406,1012,1011,1207,1166,1165,1095,1066,1065,1062,1060,933,932,1286,1285,1268,1267,1266,1265,1263,1262,1260,1259,1354,1349,578,706,416,711,710,676,861,475,1235,1234,1233,1108,1107,1106,1105,944,943])).
% 12.51/12.36 cnf(2961,plain,
% 12.51/12.36 (P4(f25(x29611,f4(a1)),f25(x29611,a23),a1)+~P5(f11(a1),x29611,a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,2897,2901,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,150,151,152,153,154,155,156,157,158,160,162,163,164,165,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,393,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363,1284,888,1379,1378,1244,1243,1242,1388,1303,1302,1301,1406,1012,1011,1207,1166,1165,1095,1066,1065,1062,1060,933,932,1286,1285,1268,1267,1266,1265,1263,1262,1260,1259,1354,1349,578,706,416,711,710,676,861,475,1235,1234,1233,1108,1107,1106,1105,944,943,916])).
% 12.51/12.36 cnf(2963,plain,
% 12.51/12.36 (P5(f25(x29631,f4(a1)),f25(x29631,a23),a1)+~P5(f11(a1),x29631,a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,2897,2901,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,150,151,152,153,154,155,156,157,158,160,162,163,164,165,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,393,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363,1284,888,1379,1378,1244,1243,1242,1388,1303,1302,1301,1406,1012,1011,1207,1166,1165,1095,1066,1065,1062,1060,933,932,1286,1285,1268,1267,1266,1265,1263,1262,1260,1259,1354,1349,578,706,416,711,710,676,861,475,1235,1234,1233,1108,1107,1106,1105,944,943,916,915])).
% 12.51/12.36 cnf(2969,plain,
% 12.51/12.36 (~P4(f22(f22(a23,a1),a1),f22(a23,a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,2897,2901,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,150,151,152,153,154,155,156,157,158,160,162,163,164,165,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,393,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363,1284,888,1379,1378,1244,1243,1242,1388,1303,1302,1301,1406,1012,1011,1207,1166,1165,1095,1066,1065,1062,1060,933,932,1286,1285,1268,1267,1266,1265,1263,1262,1260,1259,1354,1349,578,706,416,711,710,676,861,475,1235,1234,1233,1108,1107,1106,1105,944,943,916,915,735,734,793])).
% 12.51/12.36 cnf(2993,plain,
% 12.51/12.36 (~P4(f6(a5),f22(a23,a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,2897,2901,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,150,151,152,153,154,155,156,157,158,160,162,163,164,165,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,393,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363,1284,888,1379,1378,1244,1243,1242,1388,1303,1302,1301,1406,1012,1011,1207,1166,1165,1095,1066,1065,1062,1060,933,932,1286,1285,1268,1267,1266,1265,1263,1262,1260,1259,1354,1349,578,706,416,711,710,676,861,475,1235,1234,1233,1108,1107,1106,1105,944,943,916,915,735,734,793,792,768,1174,1173,1020,1019,1018,1017,856,807,814,877])).
% 12.51/12.36 cnf(2997,plain,
% 12.51/12.36 (~P5(f20(f4(a1),a23,a1),f4(a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,2897,2901,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,150,151,152,153,154,155,156,157,158,160,162,163,164,165,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,393,394,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363,1284,888,1379,1378,1244,1243,1242,1388,1303,1302,1301,1406,1012,1011,1207,1166,1165,1095,1066,1065,1062,1060,933,932,1286,1285,1268,1267,1266,1265,1263,1262,1260,1259,1354,1349,578,706,416,711,710,676,861,475,1235,1234,1233,1108,1107,1106,1105,944,943,916,915,735,734,793,792,768,1174,1173,1020,1019,1018,1017,856,807,814,877,876,875])).
% 12.51/12.36 cnf(3003,plain,
% 12.51/12.36 (~P5(f11(a1),x30031,a1)+P5(f37(x30032),x30031,a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,2897,2901,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,150,151,152,153,154,155,156,157,158,160,162,163,164,165,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,393,394,1706,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363,1284,888,1379,1378,1244,1243,1242,1388,1303,1302,1301,1406,1012,1011,1207,1166,1165,1095,1066,1065,1062,1060,933,932,1286,1285,1268,1267,1266,1265,1263,1262,1260,1259,1354,1349,578,706,416,711,710,676,861,475,1235,1234,1233,1108,1107,1106,1105,944,943,916,915,735,734,793,792,768,1174,1173,1020,1019,1018,1017,856,807,814,877,876,875,874,872,871])).
% 12.51/12.36 cnf(3005,plain,
% 12.51/12.36 (P5(f21(f4(a1),f4(a1),a1),f4(a1),a1)+~P5(f21(f4(a1),x30051,a1),f21(f21(f4(a1),f4(a1),a1),x30051,a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[410,388,1450,1452,1468,1473,1551,1554,1574,1590,1644,1665,1703,1720,1734,1737,1740,1745,1750,1753,1782,1785,1800,1803,2897,2901,1733,1742,1747,411,1416,1419,1444,1447,1454,1456,1484,1489,1492,1495,1498,1501,1504,1529,1534,1557,1560,1563,1566,1585,1595,1598,1601,1606,1609,1622,1625,1628,1631,1655,1658,1661,1664,1670,1675,1680,1683,1686,1693,1696,1709,1714,1717,1723,1726,1729,1741,1746,146,149,150,151,152,153,154,155,156,157,158,160,162,163,164,165,167,169,171,172,173,175,177,178,180,181,183,186,189,190,191,193,194,195,196,198,200,201,203,204,205,206,207,208,209,211,212,213,215,217,218,219,220,221,222,225,226,227,228,229,230,232,235,236,238,239,241,244,246,247,249,250,251,252,254,255,258,262,263,264,266,268,270,271,272,275,276,279,281,283,285,286,289,290,291,292,294,296,300,302,304,307,310,313,314,316,320,321,324,328,330,334,338,389,390,412,402,342,343,405,413,409,393,394,1706,396,1573,1732,397,1461,408,358,380,372,407,365,2,580,579,705,704,596,559,462,461,432,431,430,422,415,414,709,708,76,75,72,71,3,751,728,677,632,862,651,777,452,917,791,790,789,447,842,841,837,813,812,811,810,809,678,595,458,457,456,455,454,453,989,988,987,986,985,603,522,520,1004,623,622,1405,1403,1400,1398,873,870,760,692,1023,775,773,611,608,1003,774,1136,834,833,832,831,830,829,827,471,1225,1224,1223,1222,1193,1191,1104,1103,1076,1071,1070,1069,1047,1033,1030,825,615,613,1232,1231,1010,1009,1205,1203,1201,1199,1097,1096,1093,1092,1089,1088,1087,1086,1083,1082,927,1144,1142,1141,1140,1139,1080,1079,1078,1077,1293,1291,1270,1264,1258,1256,847,658,605,490,899,730,657,563,500,493,898,729,721,696,695,694,606,602,566,552,423,703,701,698,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,906,757,738,727,726,715,714,683,682,681,680,674,673,662,646,629,628,627,625,618,617,616,598,584,582,581,545,544,523,519,518,517,516,515,513,512,511,509,508,507,506,505,504,503,502,501,499,498,496,481,480,468,464,463,460,429,428,426,425,424,421,418,417,713,556,719,958,879,878,854,853,852,850,795,794,766,765,733,732,731,718,684,675,672,671,670,669,667,666,620,604,597,573,572,570,558,555,554,553,542,541,540,539,538,537,533,532,531,530,529,528,527,524,491,488,487,486,485,484,445,444,443,442,441,440,439,437,436,435,1371,1275,1185,1180,1179,1178,1110,1109,984,983,982,981,980,979,978,977,975,974,969,967,966,965,963,962,961,960,891,890,863,860,859,824,823,821,820,819,817,816,815,805,725,724,723,722,650,619,561,547,1218,1217,1216,1215,1212,1210,1190,1189,1188,1187,1132,1131,1130,1129,1128,1127,1126,1125,1123,1119,1118,1117,1116,1115,1113,1112,1068,999,998,889,869,868,867,866,865,864,1394,1393,1346,1345,1344,1335,1221,1220,1219,940,1396,1366,994,1397,1308,959,1408,1407,1409,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,74,73,69,68,67,849,750,747,745,744,661,634,993,895,900,776,594,736,756,755,754,753,752,600,599,546,543,495,478,476,474,473,459,1081,772,771,770,769,665,637,636,635,574,557,451,588,564,1176,1175,1016,1015,1014,1013,953,952,897,896,857,845,844,839,806,778,577,569,551,450,449,786,785,784,783,782,781,780,779,644,643,590,589,477,472,992,905,904,903,902,901,880,846,788,743,742,741,740,654,653,652,587,586,585,427,939,913,659,645,621,1283,1282,1172,887,886,884,883,593,592,591,568,1373,1372,1326,1325,1277,1276,1230,1229,1134,1133,991,990,941,835,737,575,1098,1227,1226,997,996,1241,1240,1239,1238,995,1404,1402,1401,1399,1368,1367,808,690,642,641,1022,1021,612,483,482,1171,607,567,1186,1135,951,950,936,804,802,801,800,798,763,660,1164,1163,1161,1160,1159,1158,1156,1155,1154,1153,1151,1150,1149,1146,796,1008,1007,1006,1005,925,924,923,922,1194,1192,1058,1057,1056,1053,1051,1050,1049,1048,1045,1044,1043,1042,1041,1040,1039,1038,1034,1032,1031,1029,1025,1024,649,1001,1000,945,1237,1236,1363,1284,888,1379,1378,1244,1243,1242,1388,1303,1302,1301,1406,1012,1011,1207,1166,1165,1095,1066,1065,1062,1060,933,932,1286,1285,1268,1267,1266,1265,1263,1262,1260,1259,1354,1349,578,706,416,711,710,676,861,475,1235,1234,1233,1108,1107,1106,1105,944,943,916,915,735,734,793,792,768,1174,1173,1020,1019,1018,1017,856,807,814,877,876,875,874,872,871,1209])).
% 12.51/12.36 cnf(3008,plain,
% 12.51/12.36 (P5(f37(x30081),f20(f11(a1),f11(a1),a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[1872,3003])).
% 12.51/12.36 cnf(3009,plain,
% 12.51/12.36 (P5(x30091,f20(x30091,f11(a1),a1),a1)),
% 12.51/12.36 inference(rename_variables,[],[1872])).
% 12.51/12.36 cnf(3012,plain,
% 12.51/12.36 (P5(x30121,f20(x30121,f11(a1),a1),a1)),
% 12.51/12.36 inference(rename_variables,[],[1872])).
% 12.51/12.36 cnf(3015,plain,
% 12.51/12.36 (P5(x30151,f20(x30151,f11(a1),a1),a1)),
% 12.51/12.36 inference(rename_variables,[],[1872])).
% 12.51/12.36 cnf(3018,plain,
% 12.51/12.36 (P5(x30181,f20(x30181,f11(a1),a1),a1)),
% 12.51/12.36 inference(rename_variables,[],[1872])).
% 12.51/12.36 cnf(3021,plain,
% 12.51/12.36 (P5(x30211,f20(x30211,f11(a1),a1),a1)),
% 12.51/12.36 inference(rename_variables,[],[1872])).
% 12.51/12.36 cnf(3024,plain,
% 12.51/12.36 (E(x30241,f20(f21(f18(x30242,x30242,a1),x30243,a1),x30241,a1))),
% 12.51/12.36 inference(rename_variables,[],[1576])).
% 12.51/12.36 cnf(3030,plain,
% 12.51/12.36 (P5(x30301,f20(x30301,f11(a1),a1),a1)),
% 12.51/12.36 inference(rename_variables,[],[1872])).
% 12.51/12.36 cnf(3036,plain,
% 12.51/12.36 (P4(x30361,x30361,a1)),
% 12.51/12.36 inference(rename_variables,[],[388])).
% 12.51/12.36 cnf(3038,plain,
% 12.51/12.36 (~P5(f21(x30381,f4(a1),a1),f21(x30381,f21(f4(a1),f4(a1),a1),a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[388,150,413,173,2564,1576,3024,2566,1872,3009,3012,3015,3018,3021,1870,1920,2850,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208])).
% 12.51/12.36 cnf(3039,plain,
% 12.51/12.36 (~P5(f21(x30391,x30391,a1),f4(a1),a1)),
% 12.51/12.36 inference(rename_variables,[],[1870])).
% 12.51/12.36 cnf(3048,plain,
% 12.51/12.36 (~P4(f20(a23,x30481,a1),x30481,a1)),
% 12.51/12.36 inference(rename_variables,[],[1660])).
% 12.51/12.36 cnf(3051,plain,
% 12.51/12.36 (P5(x30511,f20(x30511,f11(a1),a1),a1)),
% 12.51/12.36 inference(rename_variables,[],[1872])).
% 12.51/12.36 cnf(3058,plain,
% 12.51/12.36 (P5(x30581,f20(x30581,f11(a1),a1),a1)),
% 12.51/12.36 inference(rename_variables,[],[1872])).
% 12.51/12.36 cnf(3060,plain,
% 12.51/12.36 (P4(f4(a2),f21(f4(a2),f4(a2),a2),a2)),
% 12.51/12.36 inference(scs_inference,[],[182,199,388,411,394,407,150,396,241,413,195,151,173,154,153,1458,2564,1576,3024,2566,1761,1872,3009,3012,3015,3018,3021,3030,3051,1660,1514,1870,1920,2850,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028])).
% 12.51/12.36 cnf(3061,plain,
% 12.51/12.36 (P4(x30611,x30611,a2)),
% 12.51/12.36 inference(rename_variables,[],[1761])).
% 12.51/12.36 cnf(3065,plain,
% 12.51/12.36 (P5(x30651,f20(x30651,f11(a1),a1),a1)),
% 12.51/12.36 inference(rename_variables,[],[1872])).
% 12.51/12.36 cnf(3068,plain,
% 12.51/12.36 (P4(x30681,x30681,a2)),
% 12.51/12.36 inference(rename_variables,[],[1761])).
% 12.51/12.36 cnf(3071,plain,
% 12.51/12.36 (P4(x30711,f16(x30711,a2),a2)),
% 12.51/12.36 inference(rename_variables,[],[1769])).
% 12.51/12.36 cnf(3072,plain,
% 12.51/12.36 (P4(x30721,x30721,a2)),
% 12.51/12.36 inference(rename_variables,[],[1761])).
% 12.51/12.36 cnf(3075,plain,
% 12.51/12.36 (P4(x30751,f16(x30751,a2),a2)),
% 12.51/12.36 inference(rename_variables,[],[1769])).
% 12.51/12.36 cnf(3076,plain,
% 12.51/12.36 (P4(x30761,x30761,a2)),
% 12.51/12.36 inference(rename_variables,[],[1761])).
% 12.51/12.36 cnf(3079,plain,
% 12.51/12.36 (~P5(x30791,x30791,a1)),
% 12.51/12.36 inference(rename_variables,[],[411])).
% 12.51/12.36 cnf(3082,plain,
% 12.51/12.36 (~E(f20(f22(f10(f28(a40,a1),f4(a1)),a1),f20(x30821,f28(a40,a3),a1),a1),x30821)),
% 12.51/12.36 inference(rename_variables,[],[2602])).
% 12.51/12.36 cnf(3085,plain,
% 12.51/12.36 (~E(f20(f22(f10(f28(a40,a1),f4(a1)),a1),f20(x30851,f28(a40,a3),a1),a1),x30851)),
% 12.51/12.36 inference(rename_variables,[],[2602])).
% 12.51/12.36 cnf(3088,plain,
% 12.51/12.36 (P4(f4(a1),f21(x30881,x30881,a1),a1)),
% 12.51/12.36 inference(rename_variables,[],[1874])).
% 12.51/12.36 cnf(3092,plain,
% 12.51/12.36 (P5(f21(f12(f25(x30921,x30922),a1),f4(a1),a1),f21(f12(f25(x30921,x30922),a1),f25(x30921,x30922),a1),a1)),
% 12.51/12.36 inference(scs_inference,[],[182,199,237,388,3036,411,394,407,150,396,212,241,307,413,195,390,151,173,154,153,1458,1570,2798,2564,1576,3024,2602,3082,2566,1761,3061,3068,3072,1769,3071,1872,3009,3012,3015,3018,3021,3030,3051,3058,1660,2754,1514,1870,1874,1920,2850,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370])).
% 12.51/12.36 cnf(3093,plain,
% 12.51/12.36 (P5(f4(a1),f25(x30931,x30932),a1)),
% 12.51/12.36 inference(rename_variables,[],[396])).
% 12.51/12.36 cnf(3096,plain,
% 12.51/12.36 (P5(f4(a1),f25(x30961,x30962),a1)),
% 12.51/12.36 inference(rename_variables,[],[396])).
% 12.51/12.37 cnf(3099,plain,
% 12.51/12.37 (P4(x30991,x30991,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3102,plain,
% 12.51/12.37 (P4(x31021,f16(x31021,a2),a2)),
% 12.51/12.37 inference(rename_variables,[],[1769])).
% 12.51/12.37 cnf(3108,plain,
% 12.51/12.37 (P5(x31081,f20(x31081,f11(a1),a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[1872])).
% 12.51/12.37 cnf(3120,plain,
% 12.51/12.37 (P4(x31201,x31201,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3123,plain,
% 12.51/12.37 (~E(f20(f22(f10(f28(a40,a1),f4(a1)),a1),f20(x31231,f28(a40,a3),a1),a1),x31231)),
% 12.51/12.37 inference(rename_variables,[],[2602])).
% 12.51/12.37 cnf(3139,plain,
% 12.51/12.37 (P4(f22(f4(a2),a2),f4(a2),a2)),
% 12.51/12.37 inference(scs_inference,[],[410,170,182,199,237,259,403,174,388,3036,3099,411,394,397,407,150,165,226,396,3093,3096,212,241,307,413,195,294,164,390,151,203,227,173,389,154,153,1458,1570,2798,2564,1757,1910,1576,3024,2602,3082,3085,2566,1526,1761,3061,3068,3072,3076,2386,2393,2405,1769,3071,3075,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,1660,1621,1669,2754,1514,1870,1874,1920,1924,2850,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771])).
% 12.51/12.37 cnf(3148,plain,
% 12.51/12.37 (P5(x31481,f20(x31481,f11(a1),a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[1872])).
% 12.51/12.37 cnf(3200,plain,
% 12.51/12.37 (P5(f20(x32001,f4(a1),a1),f20(x32001,a23,a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[2494])).
% 12.51/12.37 cnf(3209,plain,
% 12.51/12.37 (P4(x32091,x32091,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3222,plain,
% 12.51/12.37 (P4(f4(a1),f21(x32221,x32221,a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[1874])).
% 12.51/12.37 cnf(3229,plain,
% 12.51/12.37 (~P5(f12(a23,a1),f4(a1),a1)),
% 12.51/12.37 inference(scs_inference,[],[410,159,170,182,184,192,199,202,231,237,245,259,269,303,305,403,174,179,388,3036,3099,3120,3209,411,194,252,394,397,407,150,165,226,228,396,3093,3096,155,163,212,241,307,413,195,294,164,190,146,181,162,412,390,151,193,203,189,227,173,389,154,153,1458,1570,2798,2744,1512,2564,1757,1910,1854,1576,3024,2602,3082,3085,3123,2048,1582,2446,2566,1526,1922,1413,1761,3061,3068,3072,3076,2518,2056,2386,2393,2405,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,1660,1621,1669,2754,1514,2935,2494,1870,1874,3088,3222,1920,2774,1924,2850,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825])).
% 12.51/12.37 cnf(3240,plain,
% 12.51/12.37 (P5(x32401,f20(x32401,f11(a1),a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[1872])).
% 12.51/12.37 cnf(3241,plain,
% 12.51/12.37 (P5(x32411,f20(x32411,f11(a1),a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[1872])).
% 12.51/12.37 cnf(3250,plain,
% 12.51/12.37 (E(f14(f14(x32501,x32502,a39),x32502,a39),f14(x32501,x32502,a39))),
% 12.51/12.37 inference(rename_variables,[],[2012])).
% 12.51/12.37 cnf(3251,plain,
% 12.51/12.37 (E(f14(f4(a1),x32511,x32512),f14(f6(a5),x32511,x32512))),
% 12.51/12.37 inference(rename_variables,[],[1848])).
% 12.51/12.37 cnf(3256,plain,
% 12.51/12.37 (P4(x32561,x32561,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3260,plain,
% 12.51/12.37 (~P5(x32601,f17(f21(x32601,f25(x32602,x32603),a1),f25(x32602,x32603),a1),a1)),
% 12.51/12.37 inference(scs_inference,[],[410,159,170,182,184,192,199,202,231,237,245,259,269,303,305,403,174,179,388,3036,3099,3120,3209,411,3079,194,252,394,397,407,150,165,226,228,396,3093,3096,155,163,212,241,177,180,307,409,413,195,275,294,164,190,146,181,238,162,412,390,151,193,203,189,227,173,149,389,154,153,1458,1570,2798,2744,1512,2564,1757,1910,1848,1854,1576,3024,2602,3082,3085,3123,2012,2048,1582,2446,2566,1526,1922,1413,1761,3061,3068,3072,3076,2518,2056,2386,2393,2405,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,1660,1621,1669,2754,1514,2935,2494,2498,1870,1874,3088,3222,1892,1920,2774,1924,2850,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203])).
% 12.51/12.37 cnf(3261,plain,
% 12.51/12.37 (~P5(x32611,x32611,a1)),
% 12.51/12.37 inference(rename_variables,[],[411])).
% 12.51/12.37 cnf(3264,plain,
% 12.51/12.37 (P4(x32641,x32641,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3267,plain,
% 12.51/12.37 (P5(x32671,f20(x32671,f11(a1),a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[1872])).
% 12.51/12.37 cnf(3272,plain,
% 12.51/12.37 (~P5(f21(x32721,x32721,a1),f4(a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[1870])).
% 12.51/12.37 cnf(3278,plain,
% 12.51/12.37 (~P5(x32781,x32781,a1)),
% 12.51/12.37 inference(rename_variables,[],[411])).
% 12.51/12.37 cnf(3282,plain,
% 12.51/12.37 (~P5(x32821,x32821,a1)),
% 12.51/12.37 inference(rename_variables,[],[411])).
% 12.51/12.37 cnf(3285,plain,
% 12.51/12.37 (~P4(f20(a23,x32851,a1),x32851,a1)),
% 12.51/12.37 inference(rename_variables,[],[1660])).
% 12.51/12.37 cnf(3289,plain,
% 12.51/12.37 (~P4(f4(a1),f20(f18(f4(a1),a23,a1),f18(f4(a1),a23,a1),a1),a1)),
% 12.51/12.37 inference(scs_inference,[],[410,159,170,182,184,192,199,202,231,237,245,259,269,303,305,403,174,179,388,3036,3099,3120,3209,3256,411,3079,3261,3278,194,252,394,397,407,150,165,226,228,396,3093,3096,155,163,212,241,177,180,307,409,413,195,275,294,164,190,289,146,181,238,162,412,390,151,193,203,189,227,173,149,389,154,153,1458,1570,2798,2744,1512,2564,1483,1757,1910,1848,1854,1576,3024,2602,3082,3085,3123,2012,2048,1582,2446,2566,1526,1497,1922,1413,1761,3061,3068,3072,3076,2518,2056,2386,2393,2405,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,3241,1660,3048,1621,1669,2754,1514,2534,2935,1508,2494,2498,1870,3039,1874,3088,3222,1892,1920,2774,1924,2850,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203,1201,1199,1096,1093,1060,1142,1140,1078,1263,751])).
% 12.51/12.37 cnf(3317,plain,
% 12.51/12.37 (~P4(f20(x33171,a23,a1),f20(x33171,f4(a1),a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[2492])).
% 12.51/12.37 cnf(3322,plain,
% 12.51/12.37 (P4(x33221,x33221,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3325,plain,
% 12.51/12.37 (~P5(f21(x33251,x33251,a1),f4(a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[1870])).
% 12.51/12.37 cnf(3327,plain,
% 12.51/12.37 (P4(f4(a39),f20(f11(a39),f11(a39),a39),a39)),
% 12.51/12.37 inference(scs_inference,[],[410,159,170,182,184,192,199,202,231,237,245,253,259,269,277,303,305,403,379,174,179,388,3036,3099,3120,3209,3256,3264,411,3079,3261,3278,194,252,394,397,291,407,150,165,226,228,396,3093,3096,152,239,155,163,212,241,177,180,307,409,413,195,275,294,164,190,205,289,146,181,238,162,412,390,225,151,193,203,189,227,173,149,389,154,153,1458,1506,1570,2798,2744,1512,2564,1483,1757,1910,1848,1854,1976,1576,3024,2602,3082,3085,3123,2012,2048,1582,2446,2566,1526,1497,1922,1413,1761,3061,3068,3072,3076,2518,2056,2386,2393,2405,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,3241,2516,1660,3048,1621,1669,2754,1514,2534,2935,2939,2886,1508,2492,2494,2498,1870,3039,3272,1874,3088,3222,1892,1920,2774,1924,2850,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203,1201,1199,1096,1093,1060,1142,1140,1078,1263,751,747,744,677,594,600,857,810,427,1004,1134,1133,1405,1160,1050,1045,1012])).
% 12.51/12.37 cnf(3332,plain,
% 12.51/12.37 (P4(x33321,x33321,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3335,plain,
% 12.51/12.37 (P4(x33351,x33351,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3336,plain,
% 12.51/12.37 (~P5(x33361,x33361,a1)),
% 12.51/12.37 inference(rename_variables,[],[411])).
% 12.51/12.37 cnf(3338,plain,
% 12.51/12.37 (~P5(f21(f11(a1),f11(a1),a1),f21(f11(a1),f4(a1),a1),a1)),
% 12.51/12.37 inference(scs_inference,[],[410,159,170,182,184,192,199,202,231,237,245,253,259,269,277,303,305,403,379,174,179,388,3036,3099,3120,3209,3256,3264,3322,3332,411,3079,3261,3278,3282,194,252,394,397,291,407,150,165,226,228,396,3093,3096,152,239,155,163,212,241,177,180,307,409,413,195,275,294,164,190,205,289,146,181,238,162,412,390,225,151,193,203,189,227,173,149,389,154,153,1458,1506,1570,2798,2744,1512,2564,1483,1757,1910,1848,1854,1976,1576,3024,2756,2602,3082,3085,3123,2012,2048,1582,2446,2997,2566,1526,1497,1922,1413,1761,3061,3068,3072,3076,2518,2056,2386,2393,2405,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,3241,2516,1660,3048,1621,1669,2754,1514,2534,2935,2939,2886,1508,2492,2494,2498,1870,3039,3272,1874,3088,3222,1892,1920,2774,1924,2850,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203,1201,1199,1096,1093,1060,1142,1140,1078,1263,751,747,744,677,594,600,857,810,427,1004,1134,1133,1405,1160,1050,1045,1012,1082,1066,1258,750])).
% 12.51/12.37 cnf(3343,plain,
% 12.51/12.37 (~E(f20(x33431,f11(a1),a1),x33431)),
% 12.51/12.37 inference(rename_variables,[],[1582])).
% 12.51/12.37 cnf(3348,plain,
% 12.51/12.37 (P4(f4(a2),f22(f4(a2),a2),a2)),
% 12.51/12.37 inference(scs_inference,[],[410,159,170,182,184,192,199,202,231,237,245,253,259,269,277,303,305,403,406,379,174,179,388,3036,3099,3120,3209,3256,3264,3322,3332,411,3079,3261,3278,3282,194,252,394,397,291,407,150,165,226,228,396,3093,3096,152,239,155,163,212,241,177,180,307,409,413,195,275,294,164,190,205,289,146,181,238,162,412,390,225,151,193,203,189,227,173,149,389,154,153,1458,1506,1570,1479,2798,2744,1512,2564,1483,1757,1910,1848,1854,1976,1576,3024,2756,2602,3082,3085,3123,2012,2048,1582,2446,2997,2566,1526,1497,1922,1413,1761,3061,3068,3072,3076,2518,2056,2386,2393,2405,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,3241,2414,2516,1660,3048,1621,1669,2754,1514,2534,2935,2939,2886,1508,2492,2494,2498,1870,3039,3272,1874,3088,3222,1892,1920,2774,1924,2850,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203,1201,1199,1096,1093,1060,1142,1140,1078,1263,751,747,744,677,594,600,857,810,427,1004,1134,1133,1405,1160,1050,1045,1012,1082,1066,1258,750,676,661,599,769])).
% 12.51/12.37 cnf(3352,plain,
% 12.51/12.37 (~P5(x33521,f20(f21(f18(x33522,x33522,a2),x33523,a2),x33521,a2),a2)),
% 12.51/12.37 inference(scs_inference,[],[410,159,170,182,184,192,199,202,231,237,245,253,259,269,277,303,305,403,406,379,174,179,388,3036,3099,3120,3209,3256,3264,3322,3332,411,3079,3261,3278,3282,194,252,394,397,291,407,150,165,226,228,396,3093,3096,152,239,155,163,212,241,177,180,307,409,413,195,275,294,164,190,205,289,146,181,238,162,412,390,225,151,193,203,189,227,173,149,389,154,153,1458,1506,1570,1479,2798,2744,1512,2564,1483,1757,1910,1848,1854,1976,1576,3024,2756,2602,3082,3085,3123,2012,2048,1582,2446,2997,2566,1526,1497,1922,1413,1761,3061,3068,3072,3076,2518,2056,2386,2393,2405,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,3241,2414,2516,1660,3048,1621,1669,2754,1514,2534,2935,2939,2886,1508,2492,2494,2498,1870,3039,3272,1874,3088,3222,1892,1920,2774,1924,2850,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203,1201,1199,1096,1093,1060,1142,1140,1078,1263,751,747,744,677,594,600,857,810,427,1004,1134,1133,1405,1160,1050,1045,1012,1082,1066,1258,750,676,661,599,769,1175,1402])).
% 12.51/12.37 cnf(3356,plain,
% 12.51/12.37 (P5(f21(f11(a39),f21(f4(a39),f4(a39),a39),a39),f21(f11(a39),f21(f11(a39),f11(a39),a39),a39),a39)),
% 12.51/12.37 inference(scs_inference,[],[410,159,170,182,184,192,199,202,231,237,245,253,259,269,277,303,305,311,403,406,379,174,179,388,3036,3099,3120,3209,3256,3264,3322,3332,411,3079,3261,3278,3282,194,252,394,397,291,290,407,150,165,226,228,396,3093,3096,152,239,155,163,212,241,177,180,307,409,413,195,275,294,164,190,205,289,146,181,238,162,412,390,225,151,193,203,189,227,173,149,389,154,153,1458,1506,1570,1479,2798,2744,1512,2564,1483,1757,1910,1848,1854,1976,1576,3024,2756,2602,3082,3085,3123,2012,2048,1582,2446,2903,2997,2566,1526,1497,1922,1411,1413,1761,3061,3068,3072,3076,2518,2056,2386,2393,2405,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,3241,2414,2516,1660,3048,1621,1669,2754,1514,2534,2935,2939,2886,1508,2492,2494,2498,1870,3039,3272,1874,3088,3222,1892,1920,2774,1924,2850,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203,1201,1199,1096,1093,1060,1142,1140,1078,1263,751,747,744,677,594,600,857,810,427,1004,1134,1133,1405,1160,1050,1045,1012,1082,1066,1258,750,676,661,599,769,1175,1402,873,1159])).
% 12.51/12.37 cnf(3361,plain,
% 12.51/12.37 (~P5(x33611,x33611,a1)),
% 12.51/12.37 inference(rename_variables,[],[411])).
% 12.51/12.37 cnf(3370,plain,
% 12.51/12.37 (P4(x33701,x33701,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3373,plain,
% 12.51/12.37 (~P5(f21(x33731,x33731,a1),f4(a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[1870])).
% 12.51/12.37 cnf(3376,plain,
% 12.51/12.37 (~P5(f21(x33761,x33761,a1),f4(a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[1870])).
% 12.51/12.37 cnf(3379,plain,
% 12.51/12.37 (~P5(f21(x33791,x33791,a1),f4(a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[1870])).
% 12.51/12.37 cnf(3382,plain,
% 12.51/12.37 (~P5(f21(x33821,x33821,a1),f4(a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[1870])).
% 12.51/12.37 cnf(3394,plain,
% 12.51/12.37 (~P5(f21(f20(f4(a2),f11(a1),a1),f20(f4(a2),f11(a1),a1),a2),f4(a2),a2)),
% 12.51/12.37 inference(scs_inference,[],[410,159,170,182,184,192,199,202,231,237,245,253,259,269,277,303,305,311,403,406,379,174,179,388,3036,3099,3120,3209,3256,3264,3322,3332,3335,411,3079,3261,3278,3282,3336,194,252,394,397,291,290,407,150,165,226,228,396,3093,3096,152,239,155,163,212,241,177,180,307,409,413,195,275,294,164,190,205,289,146,246,181,238,162,412,390,225,151,193,203,189,227,173,149,389,154,153,1458,1506,1570,1479,2752,2798,2744,2888,1512,2564,1483,1757,1805,1910,1848,1854,1976,1576,3024,2756,2602,3082,3085,3123,2012,2048,1582,2446,2903,2993,2997,2566,1526,1497,1922,1411,1413,1761,3061,3068,3072,3076,2518,2056,2386,2393,2405,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,3241,2414,2516,1660,3048,2951,1621,1669,2754,1514,2534,2935,2939,2886,1508,2492,2494,2498,1870,3039,3272,3325,3373,3376,3379,1874,3088,3222,1892,1920,2774,1924,2850,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203,1201,1199,1096,1093,1060,1142,1140,1078,1263,751,747,744,677,594,600,857,810,427,1004,1134,1133,1405,1160,1050,1045,1012,1082,1066,1258,750,676,661,599,769,1175,1402,873,1159,1192,1103,1042,1032,1031,1029,1232,1231,1087,1086,1062,634,451,1015,1014,904])).
% 12.51/12.37 cnf(3406,plain,
% 12.51/12.37 (P4(x34061,x34061,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3420,plain,
% 12.51/12.37 (~P5(f20(f4(a1),x34201,a1),x34201,a1)),
% 12.51/12.37 inference(rename_variables,[],[1663])).
% 12.51/12.37 cnf(3423,plain,
% 12.51/12.37 (P4(x34231,x34231,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3430,plain,
% 12.51/12.37 (P4(x34301,x34301,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3435,plain,
% 12.51/12.37 (P4(x34351,x34351,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3438,plain,
% 12.51/12.37 (P4(x34381,x34381,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3449,plain,
% 12.51/12.37 (~E(f21(f11(a1),f11(a1),a1),f21(f11(a1),f4(a1),a1))),
% 12.51/12.37 inference(scs_inference,[],[410,159,170,182,184,192,199,202,231,237,245,253,259,269,277,303,305,311,315,327,403,406,379,174,179,388,3036,3099,3120,3209,3256,3264,3322,3332,3335,3370,3406,3423,3430,3435,411,3079,3261,3278,3282,3336,194,252,394,397,291,290,407,150,165,226,228,232,396,3093,3096,152,239,155,163,208,212,241,177,180,307,409,413,195,275,294,164,190,205,289,146,246,181,238,162,412,200,390,225,151,193,203,189,227,173,149,389,154,153,1458,1506,1570,1479,2752,2798,2568,1423,2744,2888,1512,2564,1443,1483,1757,1805,1910,1848,1854,1976,1878,1576,3024,2756,2602,3082,3085,3123,2969,2012,2048,1582,2446,2903,2993,2997,2880,2566,1526,1497,1922,1411,1413,1761,3061,3068,3072,3076,2518,2056,2386,2393,2405,2708,2684,1663,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,3241,2414,2516,1660,3048,2951,1621,1669,2754,1514,2534,2935,2939,2886,1508,2492,2494,2498,1870,3039,3272,3325,3373,3376,3379,1874,3088,3222,2686,1799,1892,1920,2774,1528,1924,2850,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203,1201,1199,1096,1093,1060,1142,1140,1078,1263,751,747,744,677,594,600,857,810,427,1004,1134,1133,1405,1160,1050,1045,1012,1082,1066,1258,750,676,661,599,769,1175,1402,873,1159,1192,1103,1042,1032,1031,1029,1232,1231,1087,1086,1062,634,451,1015,1014,904,623,1325,692,1139,1080,736,459,588,806,642,641,1058,615,613,1291,658,1056,1053,902,939,632,559,2,19])).
% 12.51/12.37 cnf(3451,plain,
% 12.51/12.37 (E(f8(f8(x34511)),x34511)),
% 12.51/12.37 inference(rename_variables,[],[359])).
% 12.51/12.37 cnf(3453,plain,
% 12.51/12.37 (P4(x34531,x34531,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3509,plain,
% 12.51/12.37 (P5(f18(x35091,f20(f16(f18(x35092,x35091,a1),a1),f11(a1),a1),a1),x35092,a1)),
% 12.51/12.37 inference(scs_inference,[],[410,159,161,170,182,184,192,199,202,231,237,245,253,256,259,269,277,303,305,311,315,327,339,403,406,359,379,174,179,388,3036,3099,3120,3209,3256,3264,3322,3332,3335,3370,3406,3423,3430,3435,3438,411,3079,3261,3278,3282,3336,194,252,263,394,397,291,290,407,150,165,204,226,228,232,396,3093,3096,152,239,155,163,208,212,241,177,180,307,409,413,195,275,294,164,190,205,289,146,246,181,238,162,412,200,390,225,151,193,203,189,227,173,149,389,154,153,1458,1506,1570,1479,2752,2798,2568,1423,2744,2888,1512,2564,1443,1483,1757,1805,1910,1848,1854,1976,1878,1576,3024,2756,2602,3082,3085,3123,2969,2012,2048,1582,3343,2446,2903,2993,2997,2880,2566,1526,1497,1922,1411,1413,1761,3061,3068,3072,3076,2518,2056,2386,2393,2405,2708,2684,1663,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,3241,3267,2414,2516,1660,3048,2951,1621,1669,2754,1514,2534,2935,2939,2886,1508,2492,2494,2498,1870,3039,3272,3325,3373,3376,3379,1874,3088,3222,2686,1799,1892,1920,2774,1528,1924,2850,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203,1201,1199,1096,1093,1060,1142,1140,1078,1263,751,747,744,677,594,600,857,810,427,1004,1134,1133,1405,1160,1050,1045,1012,1082,1066,1258,750,676,661,599,769,1175,1402,873,1159,1192,1103,1042,1032,1031,1029,1232,1231,1087,1086,1062,634,451,1015,1014,904,623,1325,692,1139,1080,736,459,588,806,642,641,1058,615,613,1291,658,1056,1053,902,939,632,559,2,19,77,895,756,755,754,752,543,495,478,476,474,473,792,665,953,845,841,839,778,577,569,551,814,590,846,743,740,653,645,1283])).
% 12.51/12.37 cnf(3531,plain,
% 12.51/12.37 (~P4(f20(f21(x35311,x35312,a1),f20(a23,f20(f21(f18(x35313,x35311,a1),x35312,a1),x35314,a1),a1),a1),f20(f21(x35313,x35312,a1),x35314,a1),a1)),
% 12.51/12.37 inference(scs_inference,[],[410,159,161,170,182,184,192,199,202,231,237,245,253,256,259,269,277,303,305,311,315,327,339,403,406,359,379,174,179,388,3036,3099,3120,3209,3256,3264,3322,3332,3335,3370,3406,3423,3430,3435,3438,411,3079,3261,3278,3282,3336,194,252,263,394,397,291,290,407,150,165,204,226,228,232,396,3093,3096,152,239,155,163,208,212,241,177,180,307,409,413,195,275,294,164,190,205,289,146,246,181,238,162,412,200,390,225,151,193,203,189,227,173,149,389,154,153,1458,1506,1570,1479,2752,2798,2568,1423,2744,2888,1512,2564,1443,1483,1757,1805,1910,1848,1854,1976,1878,1576,3024,2756,2602,3082,3085,3123,2969,2012,2048,1582,3343,2446,2903,2993,2997,2880,2566,1526,1497,1922,1411,1413,1761,3061,3068,3072,3076,2518,2056,2386,2393,2405,2708,2684,1663,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,3241,3267,2414,2516,1660,3048,3285,2951,1621,1669,2754,1514,2534,2935,2939,2886,1508,2492,2494,2498,1870,3039,3272,3325,3373,3376,3379,1874,3088,3222,2686,1799,1892,1920,2774,1528,1924,2850,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203,1201,1199,1096,1093,1060,1142,1140,1078,1263,751,747,744,677,594,600,857,810,427,1004,1134,1133,1405,1160,1050,1045,1012,1082,1066,1258,750,676,661,599,769,1175,1402,873,1159,1192,1103,1042,1032,1031,1029,1232,1231,1087,1086,1062,634,451,1015,1014,904,623,1325,692,1139,1080,736,459,588,806,642,641,1058,615,613,1291,658,1056,1053,902,939,632,559,2,19,77,895,756,755,754,752,543,495,478,476,474,473,792,665,953,845,841,839,778,577,569,551,814,590,846,743,740,653,645,1283,887,883,591,1326,991,990,941,996,1404,1401,1399])).
% 12.51/12.37 cnf(3539,plain,
% 12.51/12.37 (~P4(f20(a23,f11(a1),a1),f4(a1),a1)),
% 12.51/12.37 inference(scs_inference,[],[410,159,161,170,182,184,192,199,202,231,237,245,253,256,259,269,277,303,305,311,315,327,339,403,406,359,379,174,179,388,3036,3099,3120,3209,3256,3264,3322,3332,3335,3370,3406,3423,3430,3435,3438,411,3079,3261,3278,3282,3336,194,252,263,394,397,291,290,407,150,165,204,226,228,232,396,3093,3096,152,239,155,163,208,212,241,177,230,180,307,409,413,195,275,294,164,190,205,289,146,246,181,238,162,412,200,390,225,151,193,203,189,227,173,149,389,154,153,1458,1506,1570,1479,2752,2798,2568,1423,2744,2888,1512,2564,1443,1483,1757,1805,1910,1848,1854,1976,1878,1576,3024,2756,2602,3082,3085,3123,2969,2012,2048,1582,3343,2446,2903,2993,2997,2880,2566,1526,1497,1922,2440,1411,1413,1761,3061,3068,3072,3076,2518,2056,2386,2393,2405,2708,2684,1663,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,3241,3267,3240,2414,2516,1660,3048,3285,2951,1621,1669,2754,1514,2534,2935,2939,2886,1508,2492,2494,2498,1870,3039,3272,3325,3373,3376,3379,1874,3088,3222,2686,1799,1892,1920,2774,1528,1924,2850,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203,1201,1199,1096,1093,1060,1142,1140,1078,1263,751,747,744,677,594,600,857,810,427,1004,1134,1133,1405,1160,1050,1045,1012,1082,1066,1258,750,676,661,599,769,1175,1402,873,1159,1192,1103,1042,1032,1031,1029,1232,1231,1087,1086,1062,634,451,1015,1014,904,623,1325,692,1139,1080,736,459,588,806,642,641,1058,615,613,1291,658,1056,1053,902,939,632,559,2,19,77,895,756,755,754,752,543,495,478,476,474,473,792,665,953,845,841,839,778,577,569,551,814,590,846,743,740,653,645,1283,887,883,591,1326,991,990,941,996,1404,1401,1399,1367,875,874,872])).
% 12.51/12.37 cnf(3540,plain,
% 12.51/12.37 (P5(x35401,f20(x35401,f11(a1),a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[1872])).
% 12.51/12.37 cnf(3549,plain,
% 12.51/12.37 (~P5(f21(x35491,x35491,a1),f4(a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[1870])).
% 12.51/12.37 cnf(3557,plain,
% 12.51/12.37 (P5(x35571,f17(f20(f21(x35571,f25(x35572,x35573),a1),f11(a1),a1),f25(x35572,x35573),a1),a1)),
% 12.51/12.37 inference(scs_inference,[],[410,159,161,170,182,184,187,192,199,202,231,237,245,253,256,259,269,277,303,305,311,315,327,339,403,406,359,379,174,179,388,3036,3099,3120,3209,3256,3264,3322,3332,3335,3370,3406,3423,3430,3435,3438,3453,411,3079,3261,3278,3282,3336,194,252,263,394,397,291,290,407,150,165,204,226,228,232,396,3093,3096,152,239,155,163,208,212,241,177,230,180,307,409,413,195,275,294,164,190,205,289,146,246,181,238,162,412,200,390,225,151,193,203,189,227,173,149,389,154,153,1458,1506,1570,1479,2752,2798,2568,1423,2744,2888,1512,2564,1443,1483,1757,1805,1910,1848,1854,1976,1878,1576,3024,2756,2602,3082,3085,3123,2969,2012,2048,1582,3343,2446,2903,2993,2997,2880,2566,1526,1497,1922,2440,1411,1413,1761,3061,3068,3072,3076,2518,2056,2386,2393,2405,2708,2684,1663,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,3241,3267,3240,3540,2414,2516,1660,3048,3285,2951,1621,1669,2754,1514,2534,2935,2939,2886,1508,2492,2494,2498,1870,3039,3272,3325,3373,3376,3379,3382,1874,3088,3222,2686,1799,1892,1920,2774,1528,1924,2850,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203,1201,1199,1096,1093,1060,1142,1140,1078,1263,751,747,744,677,594,600,857,810,427,1004,1134,1133,1405,1160,1050,1045,1012,1082,1066,1258,750,676,661,599,769,1175,1402,873,1159,1192,1103,1042,1032,1031,1029,1232,1231,1087,1086,1062,634,451,1015,1014,904,623,1325,692,1139,1080,736,459,588,806,642,641,1058,615,613,1291,658,1056,1053,902,939,632,559,2,19,77,895,756,755,754,752,543,495,478,476,474,473,792,665,953,845,841,839,778,577,569,551,814,590,846,743,740,653,645,1283,887,883,591,1326,991,990,941,996,1404,1401,1399,1367,875,874,872,775,612,483,1209,1135,950,1164,1191])).
% 12.51/12.37 cnf(3558,plain,
% 12.51/12.37 (P5(x35581,f20(x35581,f11(a1),a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[1872])).
% 12.51/12.37 cnf(3574,plain,
% 12.51/12.37 (E(f14(f4(a1),x35741,x35742),f14(f6(a5),x35741,x35742))),
% 12.51/12.37 inference(rename_variables,[],[1848])).
% 12.51/12.37 cnf(3581,plain,
% 12.51/12.37 (P4(x35811,x35811,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3586,plain,
% 12.51/12.37 (~P5(f21(x35861,x35861,a1),f4(a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[1870])).
% 12.51/12.37 cnf(3593,plain,
% 12.51/12.37 (~P5(x35931,x35931,a1)),
% 12.51/12.37 inference(rename_variables,[],[411])).
% 12.51/12.37 cnf(3597,plain,
% 12.51/12.37 (P5(x35971,f20(x35971,f11(a1),a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[1872])).
% 12.51/12.37 cnf(3602,plain,
% 12.51/12.37 (~P5(f4(a1),f17(f21(f4(a1),x36021,a1),f20(f18(f4(a1),a23,a1),f18(f4(a1),a23,a1),a1),a1),a1)),
% 12.51/12.37 inference(scs_inference,[],[410,159,161,170,182,184,187,192,199,202,231,237,245,253,256,259,269,277,303,305,311,315,327,339,403,406,359,379,174,179,388,3036,3099,3120,3209,3256,3264,3322,3332,3335,3370,3406,3423,3430,3435,3438,3453,411,3079,3261,3278,3282,3336,3361,194,252,263,394,397,291,290,407,150,165,204,226,228,232,249,396,3093,3096,152,239,155,163,208,212,241,177,230,180,307,409,413,195,235,275,294,164,190,205,289,146,246,181,238,162,412,200,390,225,151,193,203,189,227,173,149,389,154,153,1458,1506,1570,1479,2752,2798,2568,1423,2744,2888,1512,2564,1443,1483,1757,1805,1910,1848,3251,3574,1854,1976,1878,1576,3024,2756,2602,3082,3085,3123,2969,2012,3250,2048,1582,3343,2446,2903,2993,2997,2880,2566,1526,1497,2230,1922,2440,1516,1411,1413,1761,3061,3068,3072,3076,2518,2056,2386,2393,2405,2708,2684,1663,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,3241,3267,3240,3540,3558,2414,2516,1660,3048,3285,2951,1621,1624,1669,2754,1514,1654,2534,2935,2939,2886,1508,2492,2494,2498,1870,3039,3272,3325,3373,3376,3379,3382,3549,1874,3088,3222,2686,1692,1799,1892,1920,2774,1528,1924,2850,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203,1201,1199,1096,1093,1060,1142,1140,1078,1263,751,747,744,677,594,600,857,810,427,1004,1134,1133,1405,1160,1050,1045,1012,1082,1066,1258,750,676,661,599,769,1175,1402,873,1159,1192,1103,1042,1032,1031,1029,1232,1231,1087,1086,1062,634,451,1015,1014,904,623,1325,692,1139,1080,736,459,588,806,642,641,1058,615,613,1291,658,1056,1053,902,939,632,559,2,19,77,895,756,755,754,752,543,495,478,476,474,473,792,665,953,845,841,839,778,577,569,551,814,590,846,743,740,653,645,1283,887,883,591,1326,991,990,941,996,1404,1401,1399,1367,875,874,872,775,612,483,1209,1135,950,1164,1191,1076,1069,649,945,1244,1242,1303,1301,1205,1097,1092,1089,1088,1077,1285,1260,1259])).
% 12.51/12.37 cnf(3606,plain,
% 12.51/12.37 (E(f17(x36061,f11(a1),a1),x36061)),
% 12.51/12.37 inference(rename_variables,[],[1944])).
% 12.51/12.37 cnf(3609,plain,
% 12.51/12.37 (~P5(f21(x36091,x36091,a1),f4(a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[1870])).
% 12.51/12.37 cnf(3614,plain,
% 12.51/12.37 (P5(f4(a1),f12(f25(x36141,x36142),a1),a1)),
% 12.51/12.37 inference(scs_inference,[],[410,159,161,170,182,184,187,192,199,202,231,237,245,253,256,259,269,277,303,305,311,315,327,339,403,406,359,379,174,179,388,3036,3099,3120,3209,3256,3264,3322,3332,3335,3370,3406,3423,3430,3435,3438,3453,411,3079,3261,3278,3282,3336,3361,194,252,263,394,397,291,290,407,150,156,165,204,226,228,232,249,396,3093,3096,152,239,155,163,208,212,241,177,230,180,307,409,413,195,235,275,294,164,190,205,289,146,246,181,238,162,412,200,390,225,151,193,203,189,227,173,149,405,389,154,153,1458,1506,1570,1479,2752,2798,2568,1423,2744,2888,1512,2564,1443,1483,1757,1805,1910,1848,3251,3574,1854,1976,1878,1576,3024,2756,2602,3082,3085,3123,2969,2012,3250,2048,1582,3343,1944,2446,2903,2993,2997,2880,2566,1526,1497,2230,1922,2440,1516,1411,1413,1761,3061,3068,3072,3076,2518,2056,2386,2393,2405,2708,2684,1663,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,3241,3267,3240,3540,3558,2414,2516,1660,3048,3285,2951,1621,1624,1669,2754,1463,1514,1654,2534,2935,2939,2886,1508,2492,2494,3200,2498,1870,3039,3272,3325,3373,3376,3379,3382,3549,3586,1874,3088,3222,2686,1692,1799,1892,1920,2774,1528,1924,2850,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203,1201,1199,1096,1093,1060,1142,1140,1078,1263,751,747,744,677,594,600,857,810,427,1004,1134,1133,1405,1160,1050,1045,1012,1082,1066,1258,750,676,661,599,769,1175,1402,873,1159,1192,1103,1042,1032,1031,1029,1232,1231,1087,1086,1062,634,451,1015,1014,904,623,1325,692,1139,1080,736,459,588,806,642,641,1058,615,613,1291,658,1056,1053,902,939,632,559,2,19,77,895,756,755,754,752,543,495,478,476,474,473,792,665,953,845,841,839,778,577,569,551,814,590,846,743,740,653,645,1283,887,883,591,1326,991,990,941,996,1404,1401,1399,1367,875,874,872,775,612,483,1209,1135,950,1164,1191,1076,1069,649,945,1244,1242,1303,1301,1205,1097,1092,1089,1088,1077,1285,1260,1259,847,651,1400,1225])).
% 12.51/12.37 cnf(3617,plain,
% 12.51/12.37 (~P5(f17(f21(x36171,a23,a1),a23,a1),x36171,a1)),
% 12.51/12.37 inference(rename_variables,[],[1674])).
% 12.51/12.37 cnf(3622,plain,
% 12.51/12.37 (P4(x36221,x36221,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3625,plain,
% 12.51/12.37 (P4(f4(a1),f25(x36251,x36252),a1)),
% 12.51/12.37 inference(rename_variables,[],[397])).
% 12.51/12.37 cnf(3631,plain,
% 12.51/12.37 (~P5(x36311,x36311,a1)),
% 12.51/12.37 inference(rename_variables,[],[411])).
% 12.51/12.37 cnf(3634,plain,
% 12.51/12.37 (P4(x36341,x36341,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3635,plain,
% 12.51/12.37 (~P5(x36351,x36351,a1)),
% 12.51/12.37 inference(rename_variables,[],[411])).
% 12.51/12.37 cnf(3652,plain,
% 12.51/12.37 (P5(x36521,f20(f17(f21(x36521,f25(x36522,x36523),a1),f25(x36522,x36523),a1),f11(a1),a1),a1)),
% 12.51/12.37 inference(scs_inference,[],[410,159,161,170,182,184,187,192,199,202,231,237,245,253,256,259,269,277,303,305,311,315,327,339,403,406,359,379,174,179,388,3036,3099,3120,3209,3256,3264,3322,3332,3335,3370,3406,3423,3430,3435,3438,3453,3581,3622,411,3079,3261,3278,3282,3336,3361,3593,3631,194,252,263,394,397,291,290,407,150,156,165,204,226,228,232,249,396,3093,3096,152,239,155,163,208,212,241,177,230,180,307,409,413,195,235,275,294,164,190,205,289,146,246,181,238,162,412,200,390,225,151,193,203,189,227,173,149,405,389,154,153,1458,1506,1570,1479,2752,2798,2568,1423,2744,2888,1512,2564,1443,1483,1757,1805,1910,1848,3251,3574,1854,1976,1878,1576,3024,2756,2602,3082,3085,3123,2969,2012,3250,2048,1582,3343,1944,2446,2903,2892,2993,2997,2880,2566,1526,1497,2230,1922,2440,1516,1411,1413,1761,3061,3068,3072,3076,2518,2056,2386,2393,2405,2708,2684,1663,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,3241,3267,3240,3540,3558,2414,2516,1660,3048,3285,2951,1621,1624,1669,1674,3617,2754,1463,1514,1654,2534,2935,2939,2886,1508,2492,3317,2494,3200,2498,1870,3039,3272,3325,3373,3376,3379,3382,3549,3586,1874,3088,3222,2686,1692,1799,1892,1920,2774,1528,1924,2850,2923,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203,1201,1199,1096,1093,1060,1142,1140,1078,1263,751,747,744,677,594,600,857,810,427,1004,1134,1133,1405,1160,1050,1045,1012,1082,1066,1258,750,676,661,599,769,1175,1402,873,1159,1192,1103,1042,1032,1031,1029,1232,1231,1087,1086,1062,634,451,1015,1014,904,623,1325,692,1139,1080,736,459,588,806,642,641,1058,615,613,1291,658,1056,1053,902,939,632,559,2,19,77,895,756,755,754,752,543,495,478,476,474,473,792,665,953,845,841,839,778,577,569,551,814,590,846,743,740,653,645,1283,887,883,591,1326,991,990,941,996,1404,1401,1399,1367,875,874,872,775,612,483,1209,1135,950,1164,1191,1076,1069,649,945,1244,1242,1303,1301,1205,1097,1092,1089,1088,1077,1285,1260,1259,847,651,1400,1225,1049,1024,1065,933,932,1141,1256,745,728,1176,458,1403,808,1222])).
% 12.51/12.37 cnf(3657,plain,
% 12.51/12.37 (P5(f4(a1),f25(x36571,x36572),a1)),
% 12.51/12.37 inference(rename_variables,[],[396])).
% 12.51/12.37 cnf(3661,plain,
% 12.51/12.37 (~P5(x36611,x36611,a1)),
% 12.51/12.37 inference(rename_variables,[],[411])).
% 12.51/12.37 cnf(3663,plain,
% 12.51/12.37 (P4(f17(f4(a1),f20(f18(f4(a1),a23,a1),f18(f4(a1),a23,a1),a1),a1),f4(a1),a1)),
% 12.51/12.37 inference(scs_inference,[],[410,159,161,170,182,184,187,192,199,202,231,237,245,253,256,259,269,277,303,305,311,315,327,339,403,406,359,379,174,179,388,3036,3099,3120,3209,3256,3264,3322,3332,3335,3370,3406,3423,3430,3435,3438,3453,3581,3622,3634,411,3079,3261,3278,3282,3336,3361,3593,3631,3635,194,252,263,394,397,291,290,407,150,156,165,204,226,228,232,249,396,3093,3096,152,239,155,163,208,212,241,177,230,180,307,409,413,195,235,275,294,164,190,205,289,146,246,181,238,162,412,200,390,225,151,193,203,189,227,173,149,405,389,154,153,1458,1506,1570,1479,2752,2798,2568,1423,2744,2888,1512,2564,1443,1483,1757,1805,1910,1848,3251,3574,1854,1976,1878,1576,3024,2756,2602,3082,3085,3123,2969,2012,3250,2048,1582,3343,1944,2446,2903,2892,2993,2997,2880,2566,1526,1497,2230,1922,2440,1516,1411,1413,1761,3061,3068,3072,3076,2518,2056,2386,2393,2405,2708,2684,1663,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,3241,3267,3240,3540,3558,2414,2516,1660,3048,3285,2951,1621,1624,1669,1674,3617,2754,1463,1514,1654,2534,2935,2939,2886,1508,2492,3317,2494,3200,2498,1870,3039,3272,3325,3373,3376,3379,3382,3549,3586,1874,3088,3222,2686,1692,1799,1892,1920,2774,1528,1924,2850,2923,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203,1201,1199,1096,1093,1060,1142,1140,1078,1263,751,747,744,677,594,600,857,810,427,1004,1134,1133,1405,1160,1050,1045,1012,1082,1066,1258,750,676,661,599,769,1175,1402,873,1159,1192,1103,1042,1032,1031,1029,1232,1231,1087,1086,1062,634,451,1015,1014,904,623,1325,692,1139,1080,736,459,588,806,642,641,1058,615,613,1291,658,1056,1053,902,939,632,559,2,19,77,895,756,755,754,752,543,495,478,476,474,473,792,665,953,845,841,839,778,577,569,551,814,590,846,743,740,653,645,1283,887,883,591,1326,991,990,941,996,1404,1401,1399,1367,875,874,872,775,612,483,1209,1135,950,1164,1191,1076,1069,649,945,1244,1242,1303,1301,1205,1097,1092,1089,1088,1077,1285,1260,1259,847,651,1400,1225,1049,1024,1065,933,932,1141,1256,745,728,1176,458,1403,808,1222,1154,1193,1104,1057])).
% 12.51/12.37 cnf(3664,plain,
% 12.51/12.37 (P4(x36641,x36641,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3673,plain,
% 12.51/12.37 (~P5(x36731,x36731,a1)),
% 12.51/12.37 inference(rename_variables,[],[411])).
% 12.51/12.37 cnf(3676,plain,
% 12.51/12.37 (P4(x36761,x36761,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3687,plain,
% 12.51/12.37 (P4(x36871,x36871,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3692,plain,
% 12.51/12.37 (P4(x36921,x36921,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3706,plain,
% 12.51/12.37 (~P4(f21(f20(f4(a2),f11(a1),a1),f20(f4(a2),f11(a1),a1),a2),f4(a2),a2)),
% 12.51/12.37 inference(scs_inference,[],[410,159,161,170,182,184,187,192,199,202,231,237,245,253,256,259,269,277,303,305,311,315,327,339,403,406,359,379,308,174,179,388,3036,3099,3120,3209,3256,3264,3322,3332,3335,3370,3406,3423,3430,3435,3438,3453,3581,3622,3634,3664,3676,3687,3692,411,3079,3261,3278,3282,3336,3361,3593,3631,3635,3661,194,209,252,263,394,397,3625,291,290,407,150,156,165,204,226,228,232,249,396,3093,3096,152,239,155,163,208,212,241,177,230,180,307,409,413,195,235,275,294,164,190,205,289,146,246,181,238,162,412,200,390,225,151,193,203,189,227,173,149,405,389,154,153,1458,1506,1570,1479,2752,2798,2568,1423,2744,2888,1512,2564,1443,1483,1757,1805,1910,1848,3251,3574,1854,1976,1878,1576,3024,2756,2602,3082,3085,3123,2969,2012,3250,2048,1582,3343,1944,2446,2903,2892,2993,2997,2880,2566,1526,1497,2230,1922,2440,1516,1411,1413,1761,3061,3068,3072,3076,2406,2518,2056,2386,2393,2405,2708,2684,1663,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,3241,3267,3240,3540,3558,2414,2516,1660,3048,3285,2951,1621,1624,1669,1674,3617,2754,1463,1514,1654,2534,2935,2939,2886,1508,2492,3317,2494,3200,2498,1870,3039,3272,3325,3373,3376,3379,3382,3549,3586,1874,3088,3222,2686,1692,1799,1892,1920,2774,1528,1924,2850,2923,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203,1201,1199,1096,1093,1060,1142,1140,1078,1263,751,747,744,677,594,600,857,810,427,1004,1134,1133,1405,1160,1050,1045,1012,1082,1066,1258,750,676,661,599,769,1175,1402,873,1159,1192,1103,1042,1032,1031,1029,1232,1231,1087,1086,1062,634,451,1015,1014,904,623,1325,692,1139,1080,736,459,588,806,642,641,1058,615,613,1291,658,1056,1053,902,939,632,559,2,19,77,895,756,755,754,752,543,495,478,476,474,473,792,665,953,845,841,839,778,577,569,551,814,590,846,743,740,653,645,1283,887,883,591,1326,991,990,941,996,1404,1401,1399,1367,875,874,872,775,612,483,1209,1135,950,1164,1191,1076,1069,649,945,1244,1242,1303,1301,1205,1097,1092,1089,1088,1077,1285,1260,1259,847,651,1400,1225,1049,1024,1065,933,932,1141,1256,745,728,1176,458,1403,808,1222,1154,1193,1104,1057,1044,1041,1038,1079,1264,1016,1013,1136,1043,1033,1030,1270,605,993,897,1277,1276,1039,905])).
% 12.51/12.37 cnf(3709,plain,
% 12.51/12.37 (P4(x37091,x37091,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3712,plain,
% 12.51/12.37 (P4(x37121,x37121,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(3714,plain,
% 12.51/12.37 (P5(f22(f20(f21(f20(f4(a2),f11(a1),a1),f20(f4(a2),f11(a1),a1),a2),f21(x37141,x37141,a2),a2),a2),f4(a2),a2)),
% 12.51/12.37 inference(scs_inference,[],[410,159,161,170,182,184,187,192,199,202,231,237,245,253,256,259,269,277,303,305,311,315,327,339,403,406,359,379,308,174,179,388,3036,3099,3120,3209,3256,3264,3322,3332,3335,3370,3406,3423,3430,3435,3438,3453,3581,3622,3634,3664,3676,3687,3692,3709,411,3079,3261,3278,3282,3336,3361,3593,3631,3635,3661,194,209,252,263,394,397,3625,291,290,407,150,156,165,204,226,228,232,249,396,3093,3096,3657,152,239,155,163,208,212,241,177,230,180,307,409,413,195,235,275,294,164,190,205,289,146,246,181,238,162,412,200,390,225,151,193,203,189,227,173,149,405,389,154,153,1458,1506,1570,1479,2752,2798,2568,1423,2744,2888,1512,2564,1443,1483,1757,1805,1910,1848,3251,3574,1854,1976,1878,1576,3024,2756,2602,3082,3085,3123,2969,2012,3250,2048,1582,3343,1944,2446,2903,2892,2993,2997,2880,2566,1526,1497,2230,1922,2440,1516,1411,1413,1761,3061,3068,3072,3076,2406,2518,2056,2386,2393,2405,2708,2684,1663,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,3241,3267,3240,3540,3558,2414,2516,1660,3048,3285,2951,1621,1624,1669,1674,3617,2754,1463,1514,1654,2534,2935,2939,2886,1508,2492,3317,2494,3200,2498,1870,3039,3272,3325,3373,3376,3379,3382,3549,3586,1874,3088,3222,2686,1692,1799,1892,1920,2774,1528,1924,2850,2923,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203,1201,1199,1096,1093,1060,1142,1140,1078,1263,751,747,744,677,594,600,857,810,427,1004,1134,1133,1405,1160,1050,1045,1012,1082,1066,1258,750,676,661,599,769,1175,1402,873,1159,1192,1103,1042,1032,1031,1029,1232,1231,1087,1086,1062,634,451,1015,1014,904,623,1325,692,1139,1080,736,459,588,806,642,641,1058,615,613,1291,658,1056,1053,902,939,632,559,2,19,77,895,756,755,754,752,543,495,478,476,474,473,792,665,953,845,841,839,778,577,569,551,814,590,846,743,740,653,645,1283,887,883,591,1326,991,990,941,996,1404,1401,1399,1367,875,874,872,775,612,483,1209,1135,950,1164,1191,1076,1069,649,945,1244,1242,1303,1301,1205,1097,1092,1089,1088,1077,1285,1260,1259,847,651,1400,1225,1049,1024,1065,933,932,1141,1256,745,728,1176,458,1403,808,1222,1154,1193,1104,1057,1044,1041,1038,1079,1264,1016,1013,1136,1043,1033,1030,1270,605,993,897,1277,1276,1039,905,1051,1040,785])).
% 12.51/12.37 cnf(3719,plain,
% 12.51/12.37 (E(f8(f8(x37191)),x37191)),
% 12.51/12.37 inference(rename_variables,[],[359])).
% 12.51/12.37 cnf(3720,plain,
% 12.51/12.37 (~E(f31(f28(a40,a1),a3),f28(a40,a3))),
% 12.51/12.37 inference(scs_inference,[],[410,159,161,170,182,184,187,192,199,202,231,237,245,253,256,259,269,277,303,305,311,315,327,339,403,406,359,3451,379,378,308,174,179,388,3036,3099,3120,3209,3256,3264,3322,3332,3335,3370,3406,3423,3430,3435,3438,3453,3581,3622,3634,3664,3676,3687,3692,3709,411,3079,3261,3278,3282,3336,3361,3593,3631,3635,3661,3673,194,209,252,263,394,397,3625,291,290,407,150,156,165,204,226,228,232,249,396,3093,3096,3657,152,239,155,163,208,212,241,177,230,180,307,409,413,195,235,275,294,164,190,205,289,146,246,181,238,162,412,200,390,225,151,193,203,189,227,173,149,405,389,154,153,1458,1506,1570,1479,2752,2798,2568,1423,2744,2888,1512,2564,1443,1483,1757,1805,1910,1848,3251,3574,1854,1976,1878,1576,3024,2756,2602,3082,3085,3123,2969,2012,3250,2048,1582,3343,1944,2446,2903,2892,2993,2997,2880,2566,1526,1497,2230,1922,2440,1516,1411,1413,1761,3061,3068,3072,3076,2406,2518,2056,2386,2393,2405,2708,2684,1663,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,3241,3267,3240,3540,3558,2414,2516,1660,3048,3285,2951,1621,1624,1669,1674,3617,2754,1463,1514,1654,2534,2935,2939,2886,1508,2492,3317,2494,3200,2498,1870,3039,3272,3325,3373,3376,3379,3382,3549,3586,1874,3088,3222,2686,1692,1799,1892,1920,2774,1528,1924,2850,2923,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203,1201,1199,1096,1093,1060,1142,1140,1078,1263,751,747,744,677,594,600,857,810,427,1004,1134,1133,1405,1160,1050,1045,1012,1082,1066,1258,750,676,661,599,769,1175,1402,873,1159,1192,1103,1042,1032,1031,1029,1232,1231,1087,1086,1062,634,451,1015,1014,904,623,1325,692,1139,1080,736,459,588,806,642,641,1058,615,613,1291,658,1056,1053,902,939,632,559,2,19,77,895,756,755,754,752,543,495,478,476,474,473,792,665,953,845,841,839,778,577,569,551,814,590,846,743,740,653,645,1283,887,883,591,1326,991,990,941,996,1404,1401,1399,1367,875,874,872,775,612,483,1209,1135,950,1164,1191,1076,1069,649,945,1244,1242,1303,1301,1205,1097,1092,1089,1088,1077,1285,1260,1259,847,651,1400,1225,1049,1024,1065,933,932,1141,1256,745,728,1176,458,1403,808,1222,1154,1193,1104,1057,1044,1041,1038,1079,1264,1016,1013,1136,1043,1033,1030,1270,605,993,897,1277,1276,1039,905,1051,1040,785,896,73,3])).
% 12.51/12.37 cnf(3723,plain,
% 12.51/12.37 (~P5(x37231,x37231,a1)),
% 12.51/12.37 inference(rename_variables,[],[411])).
% 12.51/12.37 cnf(3726,plain,
% 12.51/12.37 (~P5(x37261,x37261,a1)),
% 12.51/12.37 inference(rename_variables,[],[411])).
% 12.51/12.37 cnf(3741,plain,
% 12.51/12.37 (~P5(f21(f20(f18(f4(a1),a23,a1),f18(f4(a1),a23,a1),a1),f21(f4(a1),f4(a1),a1),a1),f21(f20(f18(f4(a1),a23,a1),f18(f4(a1),a23,a1),a1),f4(a1),a1),a1)),
% 12.51/12.37 inference(scs_inference,[],[410,159,161,170,182,184,187,192,199,202,231,237,245,253,256,259,269,277,303,305,311,315,327,339,403,344,362,406,359,3451,3719,379,378,308,174,179,388,3036,3099,3120,3209,3256,3264,3322,3332,3335,3370,3406,3423,3430,3435,3438,3453,3581,3622,3634,3664,3676,3687,3692,3709,3712,411,3079,3261,3278,3282,3336,3361,3593,3631,3635,3661,3673,3723,194,209,252,263,394,397,3625,291,290,407,150,156,165,204,226,228,232,249,396,3093,3096,3657,152,239,155,163,208,212,241,177,230,180,307,409,413,195,235,275,294,164,190,205,289,146,246,181,238,162,412,200,390,225,151,193,203,189,227,173,149,405,389,154,153,1458,1506,1570,1479,2752,2798,2568,1423,2744,2888,2468,1512,2564,1443,1483,1757,1805,1910,1848,3251,3574,1854,1976,1878,1576,3024,2756,2602,3082,3085,3123,2969,2012,3250,2048,1582,3343,1944,2446,2903,2892,2993,2997,2880,2566,1526,1497,2230,1922,2440,1516,1411,1413,1761,3061,3068,3072,3076,2406,2518,2056,2386,2393,2405,2708,2684,1663,3420,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,3241,3267,3240,3540,3558,2414,2516,1660,3048,3285,2951,1621,1624,1669,1674,3617,2754,1463,1514,1654,2534,2935,2939,2886,1508,2492,3317,2494,3200,2498,1870,3039,3272,3325,3373,3376,3379,3382,3549,3586,3609,1874,3088,3222,2686,1692,1799,1892,1920,2774,2814,2816,1528,1924,2850,2923,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203,1201,1199,1096,1093,1060,1142,1140,1078,1263,751,747,744,677,594,600,857,810,427,1004,1134,1133,1405,1160,1050,1045,1012,1082,1066,1258,750,676,661,599,769,1175,1402,873,1159,1192,1103,1042,1032,1031,1029,1232,1231,1087,1086,1062,634,451,1015,1014,904,623,1325,692,1139,1080,736,459,588,806,642,641,1058,615,613,1291,658,1056,1053,902,939,632,559,2,19,77,895,756,755,754,752,543,495,478,476,474,473,792,665,953,845,841,839,778,577,569,551,814,590,846,743,740,653,645,1283,887,883,591,1326,991,990,941,996,1404,1401,1399,1367,875,874,872,775,612,483,1209,1135,950,1164,1191,1076,1069,649,945,1244,1242,1303,1301,1205,1097,1092,1089,1088,1077,1285,1260,1259,847,651,1400,1225,1049,1024,1065,933,932,1141,1256,745,728,1176,458,1403,808,1222,1154,1193,1104,1057,1044,1041,1038,1079,1264,1016,1013,1136,1043,1033,1030,1270,605,993,897,1277,1276,1039,905,1051,1040,785,896,73,3,71,76,72,75,3005,894,938,955,954,1245])).
% 12.51/12.37 cnf(3756,plain,
% 12.51/12.37 (~P5(x37561,x37561,a1)),
% 12.51/12.37 inference(rename_variables,[],[411])).
% 12.51/12.37 cnf(3767,plain,
% 12.51/12.37 (P5(x37671,f20(x37671,f11(a1),a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[1872])).
% 12.51/12.37 cnf(3784,plain,
% 12.51/12.37 (P4(x37841,x37841,a2)),
% 12.51/12.37 inference(rename_variables,[],[1761])).
% 12.51/12.37 cnf(3793,plain,
% 12.51/12.37 (~E(f22(f20(f4(a2),f11(a1),a1),a2),f20(f4(a2),f11(a1),a1))),
% 12.51/12.37 inference(scs_inference,[],[410,159,161,166,170,176,182,184,187,192,199,202,231,233,237,245,253,256,259,269,273,277,295,303,305,311,315,327,339,403,344,362,406,359,3451,3719,379,378,308,391,174,179,388,3036,3099,3120,3209,3256,3264,3322,3332,3335,3370,3406,3423,3430,3435,3438,3453,3581,3622,3634,3664,3676,3687,3692,3709,3712,411,3079,3261,3278,3282,3336,3361,3593,3631,3635,3661,3673,3723,3726,3756,194,209,252,263,394,397,3625,291,290,407,150,156,165,204,226,228,232,249,396,3093,3096,3657,152,239,155,163,208,212,241,177,230,180,307,409,413,195,235,275,294,164,190,205,289,146,246,181,238,162,412,200,390,225,151,193,203,189,227,173,149,405,389,154,153,1458,1506,1570,1479,2752,2798,2568,1423,2744,2888,2468,1512,2564,1415,1443,1483,1757,1805,1910,1848,3251,3574,1854,1976,1878,1576,3024,2756,2602,3082,3085,3123,2969,2012,3250,2048,1582,3343,1944,3606,2446,2903,2892,2993,2997,2880,2566,1526,1497,2230,1650,1922,2440,1516,1411,1413,1465,1761,3061,3068,3072,3076,3784,2406,2518,2056,2386,2393,2405,2708,2768,2684,1663,3420,1769,3071,3075,3102,1872,3009,3012,3015,3018,3021,3030,3051,3058,3065,3108,3148,3241,3267,3240,3540,3558,3597,3767,2414,2516,1660,3048,3285,2951,1621,1624,1669,1674,3617,2754,1463,1514,1654,2534,2935,2939,2886,1508,2490,2492,3317,2494,3200,2498,1870,3039,3272,3325,3373,3376,3379,3382,3549,3586,3609,1874,3088,3222,2686,1692,1799,1892,1920,2774,2814,2816,1528,2508,1912,1924,2850,2923,1453,3003,2963,2961,2959,2957,2353,720,693,699,70,946,1208,1138,949,948,828,803,882,1246,1035,1028,1300,1102,1101,1100,907,433,479,947,1137,1370,1369,1143,1037,1036,1289,489,1254,1253,1252,1287,422,900,777,776,753,546,1081,793,771,637,564,952,842,837,450,477,992,880,788,742,741,587,585,913,622,621,1282,1172,886,1373,1372,1230,997,1241,1240,1239,1238,1398,1368,871,482,1171,1003,951,763,1161,1194,1071,1070,1047,825,1001,1000,1363,1284,1379,1378,1243,1302,1010,1009,1207,1203,1201,1199,1096,1093,1060,1142,1140,1078,1263,751,747,744,677,594,600,857,810,427,1004,1134,1133,1405,1160,1050,1045,1012,1082,1066,1258,750,676,661,599,769,1175,1402,873,1159,1192,1103,1042,1032,1031,1029,1232,1231,1087,1086,1062,634,451,1015,1014,904,623,1325,692,1139,1080,736,459,588,806,642,641,1058,615,613,1291,658,1056,1053,902,939,632,559,2,19,77,895,756,755,754,752,543,495,478,476,474,473,792,665,953,845,841,839,778,577,569,551,814,590,846,743,740,653,645,1283,887,883,591,1326,991,990,941,996,1404,1401,1399,1367,875,874,872,775,612,483,1209,1135,950,1164,1191,1076,1069,649,945,1244,1242,1303,1301,1205,1097,1092,1089,1088,1077,1285,1260,1259,847,651,1400,1225,1049,1024,1065,933,932,1141,1256,745,728,1176,458,1403,808,1222,1154,1193,1104,1057,1044,1041,1038,1079,1264,1016,1013,1136,1043,1033,1030,1270,605,993,897,1277,1276,1039,905,1051,1040,785,896,73,3,71,76,72,75,3005,894,938,955,954,1245,1162,1152,1365,935,934,1269,1261,1255,1257,957,930,956,931,1249,1251,1250,1248,1247,1292,849,447])).
% 12.51/12.37 cnf(4013,plain,
% 12.51/12.37 (P5(f18(x40131,f20(f16(f18(x40132,x40131,a1),a1),f11(a1),a1),a1),x40132,a1)),
% 12.51/12.37 inference(rename_variables,[],[3509])).
% 12.51/12.37 cnf(4022,plain,
% 12.51/12.37 (P4(x40221,x40221,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(4027,plain,
% 12.51/12.37 (~P5(x40271,x40271,a1)),
% 12.51/12.37 inference(rename_variables,[],[411])).
% 12.51/12.37 cnf(4028,plain,
% 12.51/12.37 (E(f18(x40281,f4(a1),x40282),f18(x40281,f6(a5),x40282))),
% 12.51/12.37 inference(rename_variables,[],[1865])).
% 12.51/12.37 cnf(4031,plain,
% 12.51/12.37 (~P5(x40311,x40311,a1)),
% 12.51/12.37 inference(rename_variables,[],[411])).
% 12.51/12.37 cnf(4037,plain,
% 12.51/12.37 (P4(f4(a1),f21(x40371,x40371,a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[1874])).
% 12.51/12.37 cnf(4052,plain,
% 12.51/12.37 (P5(f21(f12(f25(x40521,x40522),a1),f4(a1),a1),f21(f12(f25(x40521,x40522),a1),f25(x40521,x40522),a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[3092])).
% 12.51/12.37 cnf(4064,plain,
% 12.51/12.37 (P4(f37(x40641),f11(a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[394])).
% 12.51/12.37 cnf(4071,plain,
% 12.51/12.37 (P4(f37(x40711),f11(a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[394])).
% 12.51/12.37 cnf(4072,plain,
% 12.51/12.37 (P4(x40721,x40721,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(4092,plain,
% 12.51/12.37 (P4(f4(a1),f21(x40921,x40921,a1),a1)),
% 12.51/12.37 inference(rename_variables,[],[1874])).
% 12.51/12.37 cnf(4099,plain,
% 12.51/12.37 (P4(x40991,x40991,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(4102,plain,
% 12.51/12.37 (P4(x41021,x41021,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(4121,plain,
% 12.51/12.37 (P4(x41211,x41211,a1)),
% 12.51/12.37 inference(rename_variables,[],[388])).
% 12.51/12.37 cnf(4130,plain,
% 12.51/12.37 (P5(f18(x41301,f20(f16(f18(x41302,x41301,a1),a1),f11(a1),a1),a1),x41302,a1)),
% 12.51/12.37 inference(rename_variables,[],[3509])).
% 12.51/12.37 cnf(4170,plain,
% 12.51/12.37 (~P5(x41701,x41701,a1)),
% 12.51/12.37 inference(rename_variables,[],[411])).
% 12.51/12.37 cnf(4200,plain,
% 12.51/12.37 ($false),
% 12.51/12.37 inference(scs_inference,[],[274,306,404,176,277,278,311,148,247,240,388,4022,4072,4099,4102,4121,209,271,295,290,166,207,232,258,179,239,411,4027,4031,4170,161,241,202,204,394,4064,4071,396,152,393,163,180,235,174,275,307,150,226,205,164,200,238,155,190,225,413,151,227,173,154,153,3449,3060,1510,3338,3356,3706,3348,3139,3394,2732,1633,3327,1865,4028,2444,2018,2907,2480,3793,1677,2232,1690,2792,2502,3008,3741,3260,3352,3557,3509,4013,4130,3652,3720,2514,3038,3531,3092,4052,3229,2738,3289,3539,3663,2812,3602,1467,3614,3714,2919,2913,1660,1870,1874,4037,4092,2923,1411,2534,2939,1463,1924,2564,928,707,1094,1290,1026,949,948,592,1073,557,1019,1253,1252,1174,1370,1369,772,786,1251,1292,1025,621,1023,1001,1000,1365,1207,753,995,482,1138,1072,1302,1012,1166,1165,1143,677,636,857,810,643,873,947,1159,1146,952,1004,623,1071,3003,987,760,1208,1011,1009,661,1137,1254,902,1224,1223,1056,1139,939,1257,779,1053,1250,1248,1247,634,1031,641,632,1048,480]),
% 12.51/12.37 ['proof']).
% 12.51/12.37 % SZS output end Proof
% 12.51/12.37 % Total time :11.180000s
%------------------------------------------------------------------------------