TSTP Solution File: ALG411-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : ALG411-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 12:46:38 EDT 2022
% Result : Unknown 150.47s 150.63s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG411-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 03:52:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 149.75/150.46 ----- Otter 3.3f, August 2004 -----
% 149.75/150.46 The process was started by sandbox2 on n018.cluster.edu,
% 149.75/150.46 Wed Jul 27 03:52:16 2022
% 149.75/150.46 The command was "./otter". The process ID is 5061.
% 149.75/150.46
% 149.75/150.46 set(prolog_style_variables).
% 149.75/150.46 set(auto).
% 149.75/150.46 dependent: set(auto1).
% 149.75/150.46 dependent: set(process_input).
% 149.75/150.46 dependent: clear(print_kept).
% 149.75/150.46 dependent: clear(print_new_demod).
% 149.75/150.46 dependent: clear(print_back_demod).
% 149.75/150.46 dependent: clear(print_back_sub).
% 149.75/150.46 dependent: set(control_memory).
% 149.75/150.46 dependent: assign(max_mem, 12000).
% 149.75/150.46 dependent: assign(pick_given_ratio, 4).
% 149.75/150.46 dependent: assign(stats_level, 1).
% 149.75/150.46 dependent: assign(max_seconds, 10800).
% 149.75/150.46 clear(print_given).
% 149.75/150.46
% 149.75/150.46 list(usable).
% 149.75/150.46 0 [] A=A.
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Osemiring__0(T_a)| -class_Power_Opower(T_a)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a)=c_HOL_Ozero__class_Ozero(T_a)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)| -class_Ring__and__Field_Ono__zero__divisors(T_a)| -class_Ring__and__Field_Omult__zero(T_a)| -class_Power_Opower(T_a)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a)=c_HOL_Ozero__class_Ozero(T_a)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a)=c_HOL_Oone__class_Oone(T_a).
% 149.75/150.46 0 [] -class_Power_Opower(T_a)|c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a)=c_HOL_Oone__class_Oone(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),V_a,T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_x,V_y,T_a),c_Divides_Odiv__class_Odiv(V_w,V_z,T_a),T_a)=c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_x,V_w,T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_z,V_w,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Oab__semigroup__idem__mult(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oring(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oring(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__vector(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a),T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a),T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a).
% 149.75/150.46 0 [] -class_RealVector_Oreal__vector(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__vector(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a).
% 149.75/150.46 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(V_x,T_a)!=c_HOL_Ouminus__class_Ouminus(V_y,T_a)|V_x=V_y.
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)!=c_HOL_Ouminus__class_Ouminus(V_b,T_a)|V_a=V_b.
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)=V_a.
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|V_a=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)=V_a|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_b,T_a)=V_a|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),V_b,T_a)=V_a|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Polynomial_Opoly(V_p,V_c,T_a)=c_HOL_Ozero__class_Ozero(T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(V_c,T_a),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Polynomial_Opoly(V_p,V_c,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(V_c,T_a),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Polynomial_Opoly(V_p,c_HOL_Ouminus__class_Ouminus(V_c,T_a),T_a)!=c_HOL_Ozero__class_Ozero(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(V_c,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Polynomial_Opoly(V_p,c_HOL_Ouminus__class_Ouminus(V_c,T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(V_c,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|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.
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a).
% 149.75/150.46 0 [] -class_HOL_Ozero(T_a)|c_Polynomial_OpCons(V_a,V_p,T_a)!=c_Polynomial_OpCons(V_b,V_q,T_a)|V_p=V_q.
% 149.75/150.46 0 [] -class_HOL_Ozero(T_a)|c_Polynomial_OpCons(V_a,V_p,T_a)!=c_Polynomial_OpCons(V_b,V_q,T_a)|V_a=V_b.
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__field(T_a)|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)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|V_a=c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a),T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|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)|V_c=V_d|V_r=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__ring__strict(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)!=c_HOL_Ozero__class_Ozero(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__ring__strict(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)!=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Otimes__class_Otimes(V_a,V_b,T_a)!=c_HOL_Oone__class_Oone(T_a)|c_HOL_Oinverse__class_Oinverse(V_a,T_a)=V_b.
% 149.75/150.46 0 [] -class_OrderedGroup_Oab__semigroup__idem__mult(T_a)|c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)=V_x.
% 149.75/150.46 0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(V_a,T_a)!=c_HOL_Oinverse__class_Oinverse(V_b,T_a)|V_a=V_b.
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_q,T_a)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),c_Power_Opower__class_Opower(V_y,V_q,T_a),T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Ocomm__monoid__mult(T_a)|c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_n,T_a)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(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)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(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)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Odvd(T_a)| -class_Ring__and__Field_Ocomm__ring(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Odvd(T_a)| -class_Ring__and__Field_Ocomm__ring(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_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)=V_a.
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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.
% 149.75/150.46 0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)!=c_HOL_Oone__class_Oone(T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b.
% 149.75/150.46 0 [] -class_Int_Onumber__ring(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Oring__div(T_a)|c_Divides_Odiv__class_Odiv(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(V_x,V_y,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a).
% 149.75/150.46 0 [] -class_Divides_Oring__div(T_a)|c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a)=c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(V_x,V_y,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Oab__semigroup__mult(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|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)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(T_a),T_a)=c_HOL_Oone__class_Oone(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|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)|V_z=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oring(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|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)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|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)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|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)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_x,T_a),T_a).
% 149.75/150.46 0 [] -class_Divides_Oring__div(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|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)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|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)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|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)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|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)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|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)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Oab__group__add(T_a)|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).
% 149.75/150.46 0 [] -class_Int_Onumber__ring(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Oab__group__add(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|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)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),c_Divides_Odiv__class_Odiv(V_c,V_a,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),c_Divides_Odiv__class_Odiv(V_c,V_a,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__ring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__ring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__ring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__ring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a).
% 149.75/150.46 0 [] -class_Divides_Oring__div(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a)=V_a.
% 149.75/150.46 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oplus__class_Oplus(V_x,V_y,T_a)!=c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)|V_y=V_z.
% 149.75/150.46 0 [] -class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)!=c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)|V_b=V_c.
% 149.75/150.46 0 [] -class_OrderedGroup_Ocancel__semigroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)!=c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)|V_b=V_c.
% 149.75/150.46 0 [] -class_OrderedGroup_Ocancel__semigroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_b,V_a,T_a)!=c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)|V_b=V_c.
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|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)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(V_b,V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(V_b,V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 149.75/150.46 0 [] -class_HOL_Ozero(T_a)|c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__field(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__ring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)|c_HOL_Otimes__class_Otimes(V_a,V_a,T_a)!=c_HOL_Otimes__class_Otimes(V_b,V_b,T_a)|V_a=c_HOL_Ouminus__class_Ouminus(V_b,T_a)|V_a=V_b.
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a),T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|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.
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a).
% 149.75/150.46 0 [] -class_RealVector_Oreal__vector(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__vector(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oring(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a)=c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(V_x,V_z,T_a),c_Divides_Odiv__class_Odiv(V_y,V_z,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Int_Onumber__ring(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(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)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a).
% 149.75/150.46 0 [] -class_SEQ_Obanach(T_a)| -class_RealVector_Oreal__normed__field(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Omonoid__mult(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a)=V_a.
% 149.75/150.46 0 [] -class_OrderedGroup_Omonoid__mult(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a)=V_a.
% 149.75/150.46 0 [] -class_OrderedGroup_Ocomm__monoid__mult(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a)=V_a.
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a)=V_x.
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a)=V_a.
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a)=V_a.
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Odvd(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Olordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(V_a,T_a)=c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a),T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a),V_n,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|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)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(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)=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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a)=V_a.
% 149.75/150.46 0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)=V_a.
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Opcompose(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,T_a)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(V_x,V_y,T_a)=c_HOL_Otimes__class_Otimes(V_y,V_x,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(V_a,V_b,T_a)=c_HOL_Otimes__class_Otimes(V_b,V_a,T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Oab__group__add(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Oab__semigroup__add(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)| -class_Ring__and__Field_Ono__zero__divisors(T_a)| -class_Ring__and__Field_Omult__zero(T_a)| -class_Power_Opower(T_a)|c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a)!=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a)|c_HOL_Oinverse__class_Odivide(V_x,V_x,T_a)=c_HOL_Oone__class_Oone(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a)=c_HOL_Oone__class_Oone(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a)=c_HOL_Oone__class_Oone(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|V_x_H=V_y_H.
% 149.75/150.46 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)|V_xa=V_y.
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__field(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Osemiring(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Oab__group__add(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Oab__group__add(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra__1(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(T_a),T_a)=c_HOL_Oone__class_Oone(T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),V_c,T_a)=c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),V_a,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(V_x,T_a)!=c_HOL_Oone__class_Oone(T_a)|V_x=c_HOL_Oone__class_Oone(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)=c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_a,T_a),V_n,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_n,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__vector(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__vector(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)!=V_y|V_x=c_HOL_Ouminus__class_Ouminus(V_z,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|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)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|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)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_SEQ_Obanach(T_a)| -class_RealVector_Oreal__normed__field(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),T_a)=V_b| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),V_a,T_a)=V_b| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a)=V_a.
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__field(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=V_b.
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_a=c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_b=c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 149.75/150.46 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=V_x.
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=V_a.
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(V_a,c_HOL_Oone__class_Oone(T_a),T_a)=V_a.
% 149.75/150.46 0 [] -class_OrderedGroup_Oab__group__add(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__algebra(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__algebra(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__field(T_a)|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)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Omonoid__mult(T_a)|c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a)=c_HOL_Oone__class_Oone(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__field(T_a)|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)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Divides_Oring__div(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Oring__div(T_a)|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).
% 149.75/150.46 0 [] -class_SEQ_Obanach(T_a)| -class_RealVector_Oreal__normed__field(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Oab__group__add(T_a)|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)|c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)=V_u.
% 149.75/150.46 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_x,T_a),T_a).
% 149.75/150.46 0 [] -class_SEQ_Obanach(T_a)| -class_RealVector_Oreal__normed__field(T_a)|c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Oone__class_Oone(T_a).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__field(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Osemiring__0(T_a)| -class_Power_Opower(T_a)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_nat),T_a)=c_HOL_Oone__class_Oone(T_a).
% 149.75/150.46 0 [] -class_RealVector_Oreal__field(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(V_a,V_a,T_a)=c_HOL_Oone__class_Oone(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oring(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oring(T_a)|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)|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.
% 149.75/150.46 0 [] -class_Ring__and__Field_Oring(T_a)|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)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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).
% 149.75/150.46 0 [] c_Complex_Ocnj(c_Complex_Ocnj(V_z))=V_z.
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__vector(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__vector(T_a)|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).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__vector(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)=c_HOL_Oplus__class_Oplus(V_c,V_a,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_x,V_y,T_a)=c_HOL_Oplus__class_Oplus(V_y,V_x,T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)=c_HOL_Oplus__class_Oplus(V_b,V_a,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oring__1(T_a)|c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_n,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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).
% 149.75/150.46 0 [] -class_HOL_Ozero(T_a)|c_Polynomial_OpCons(V_a,V_p,T_a)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))|V_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 149.75/150.46 0 [] -class_HOL_Ozero(T_a)|c_Polynomial_OpCons(V_a,V_p,T_a)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Divides_Oring__div(T_a)|c_Divides_Odiv__class_Omod(V_a,V_b,T_a)!=c_Divides_Odiv__class_Omod(V_a_H,V_b,T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Omonoid__mult(T_a)|c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a)=c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(V_b,V_c,T_a)!=c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)|c_Divides_Odiv__class_Omod(V_a,V_c,T_a)!=c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)=V_b.
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ouminus__class_Ouminus(V_b,T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(V_x,V_y,T_a),V_n,T_a)=c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_n,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(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_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)|V_c=V_d|V_a=V_b.
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|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)|V_y=V_z|V_w=V_x.
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|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)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(V_b,V_c,T_a)!=c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)|c_Divides_Odiv__class_Omod(V_a,V_c,T_a)!=c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|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)|V_z=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|V_b=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a)=V_b|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a),T_a)=c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a).
% 149.75/150.46 0 [] -class_Divides_Oring__div(T_a)|c_Divides_Odiv__class_Omod(V_b,V_c,T_a)!=c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)|c_Divides_Odiv__class_Omod(V_a,V_c,T_a)!=c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Oab__group__add(T_a)|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.
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|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.
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a)=c_HOL_Oone__class_Oone(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a)=c_HOL_Oone__class_Oone(T_a).
% 149.75/150.46 0 [] c_Complex_Ocnj(V_x)!=c_Complex_Ocnj(V_y)|V_x=V_y.
% 149.75/150.46 0 [] -class_Ring__and__Field_Oring(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Int_Onumber__ring(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a)=c_Divides_Odiv__class_Omod(V_a,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_c,V_b,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Polynomial_Oorder(V_a,V_p,T_a)!=c_HOL_Ozero__class_Ozero(tc_nat)|V_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))|c_Polynomial_Opoly(V_p,V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Oab__group__add(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,V_p,T_a),V_x,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_x,c_Polynomial_Opoly(V_p,V_x,T_a),T_a),T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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).
% 149.75/150.46 0 [] -class_SEQ_Obanach(T_a)| -class_RealVector_Oreal__normed__field(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|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)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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.
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__ring__strict(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)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Osemiring__1(T_a)| -c_Int_Oiszero(c_HOL_Oone__class_Oone(T_a),T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)!=c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a)|V_z=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a)|c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)=c_HOL_Otimes__class_Otimes(V_w,V_y,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)!=c_HOL_Otimes__class_Otimes(V_w,V_y,T_a)|V_z=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a)|c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)=c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__div__algebra(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(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)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oabs__class_Oabs(V_l,T_a)!=c_HOL_Oabs__class_Oabs(V_k,T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_l,V_k,T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Oab__group__add(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Ozero__class_Ozero(T_a)=c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 149.75/150.46 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a)!=c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b.
% 149.75/150.46 0 [] -class_RealVector_Oreal__vector(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] c_Complex_Oii!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 149.75/150.46 0 [] -class_Ring__and__Field_Osemiring__1(T_a)|c_Int_Oiszero(c_HOL_Ozero__class_Ozero(T_a),T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] c_Complex_Ocnj(V_z)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|V_z=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 149.75/150.46 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Oinverse__class_Oinverse(V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ozero__class_Ozero(T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Osgn__if(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Osemiring__1(T_a)|V_z=c_HOL_Ozero__class_Ozero(T_a)| -c_Int_Oiszero(V_z,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oring__no__zero__divisors(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oring__no__zero__divisors(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Omult__zero(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Omult__zero(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(V_a,V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a.
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Opoly(c_Polynomial_Opcompose(V_p,V_q,T_a),V_x,T_a)=c_Polynomial_Opoly(V_p,c_Polynomial_Opoly(V_q,V_x,T_a),T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)|c_HOL_Ozero__class_Ozero(T_a)!=c_HOL_Oone__class_Oone(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)=V_a|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|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).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)!=V_a|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Oinverse__class_Oinverse(V_a,T_a)!=c_HOL_Oinverse__class_Oinverse(V_b,T_a)|V_a=V_b|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)|c_Power_Opower__class_Opower(V_a,V_n,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)| -class_Ring__and__Field_Ono__zero__divisors(T_a)| -class_Ring__and__Field_Omult__zero(T_a)| -class_Power_Opower(T_a)|c_Power_Opower__class_Opower(V_a,V_n,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Polynomial_Opoly(V_p,V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a)|c_Polynomial_Oorder(V_a,V_p,T_a)=c_HOL_Ozero__class_Ozero(tc_nat).
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)|c_HOL_Oone__class_Oone(T_a)!=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oring__no__zero__divisors(T_a)|c_HOL_Otimes__class_Otimes(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ono__zero__divisors(T_a)|c_HOL_Otimes__class_Otimes(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ono__zero__divisors(T_a)|c_HOL_Otimes__class_Otimes(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a.
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|V_x!=c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] c_Complex_Ocnj(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 149.75/150.46 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|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).
% 149.75/150.46 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ozero__class_Ozero(T_a)!=c_HOL_Ouminus__class_Ouminus(V_a,T_a)|c_HOL_Ozero__class_Ozero(T_a)=V_a.
% 149.75/150.46 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b.
% 149.75/150.46 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b.
% 149.75/150.46 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_x=V_y.
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.46 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.47 0 [] -class_RealVector_Oreal__normed__field(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.47 0 [] v_p!=c_Polynomial_OpCons(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)|V_x=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Osgn__class_Osgn(V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.47 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_HOL_Osgn__class_Osgn(V_x,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.47 0 [] -class_Ring__and__Field_Oidom(t_a)|v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2(V_p)!=c_HOL_Ozero__class_Ozero(t_a)|c_Polynomial_Opoly(V_p,V_z,t_a)=c_HOL_Ozero__class_Ozero(t_a)|V_z=c_HOL_Ozero__class_Ozero(t_a).
% 149.75/150.47 0 [] -class_SEQ_Obanach(T_a)| -class_RealVector_Oreal__normed__field(T_a)|c_Transcendental_Oexp(V_x,T_a)!=c_HOL_Ozero__class_Ozero(T_a).
% 149.75/150.47 0 [] -class_OrderedGroup_Omonoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a.
% 149.75/150.47 0 [] -class_OrderedGroup_Omonoid__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=V_a.
% 149.75/150.47 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a.
% 149.75/150.47 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|V_x=c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 149.75/150.47 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)=V_x.
% 149.75/150.47 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=V_a.
% 149.75/150.47 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a.
% 149.75/150.47 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=V_a.
% 149.75/150.47 0 [] v_p!=c_Polynomial_OpCons(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)|V_x=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] c_Polynomial_Opoly(v_p,V_x,tc_Complex_Ocomplex)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocancel__comm__monoid__add(T_1).
% 149.75/150.47 0 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat).
% 149.75/150.47 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat).
% 149.75/150.47 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_nat).
% 149.75/150.47 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_nat).
% 149.75/150.47 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_nat).
% 149.75/150.47 0 [] class_Ring__and__Field_Ocomm__semiring__0(tc_nat).
% 149.75/150.47 0 [] class_OrderedGroup_Oab__semigroup__mult(tc_nat).
% 149.75/150.47 0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_nat).
% 149.75/150.47 0 [] class_OrderedGroup_Oab__semigroup__add(tc_nat).
% 149.75/150.47 0 [] class_Ring__and__Field_Ocomm__semiring(tc_nat).
% 149.75/150.47 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_nat).
% 149.75/150.47 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_nat).
% 149.75/150.47 0 [] class_Ring__and__Field_Osemiring__1(tc_nat).
% 149.75/150.47 0 [] class_Ring__and__Field_Osemiring__0(tc_nat).
% 149.75/150.47 0 [] class_Ring__and__Field_Omult__zero(tc_nat).
% 149.75/150.47 0 [] class_OrderedGroup_Omonoid__mult(tc_nat).
% 149.75/150.47 0 [] class_Ring__and__Field_Osemiring(tc_nat).
% 149.75/150.47 0 [] class_OrderedGroup_Omonoid__add(tc_nat).
% 149.75/150.47 0 [] class_Divides_Osemiring__div(tc_nat).
% 149.75/150.47 0 [] class_Ring__and__Field_Odvd(tc_nat).
% 149.75/150.47 0 [] class_Power_Opower(tc_nat).
% 149.75/150.47 0 [] class_HOL_Ozero(tc_nat).
% 149.75/150.47 0 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_RealVector_Oreal__normed__field(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Osemiring(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_RealVector_Oreal__algebra(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_RealVector_Oreal__vector(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Oring__1(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_RealVector_Oreal__field(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Ofield(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Oring(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Oidom(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Odvd(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Int_Onumber__ring(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Power_Opower(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_SEQ_Obanach(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_HOL_Ozero(tc_RealDef_Oreal).
% 149.75/150.47 0 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_RealVector_Oreal__algebra(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_RealVector_Oreal__vector(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_RealVector_Oreal__field(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Ring__and__Field_Ofield(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Ring__and__Field_Oring(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Ring__and__Field_Oidom(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Ring__and__Field_Odvd(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Int_Onumber__ring(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Power_Opower(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_SEQ_Obanach(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_HOL_Ozero(tc_Complex_Ocomplex).
% 149.75/150.47 0 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oidom(T_1).
% 149.75/150.47 0 [] class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 149.75/150.47 0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oidom(T_1).
% 149.75/150.47 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocancel__comm__monoid__add(T_1).
% 149.75/150.47 0 [] class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 149.75/150.47 0 [] class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 149.75/150.47 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocancel__comm__monoid__add(T_1).
% 149.75/150.47 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oidom(T_1).
% 149.75/150.47 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 149.75/150.47 0 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 149.75/150.47 0 [] class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 149.75/150.47 0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 149.75/150.47 0 [] class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocomm__monoid__add(T_1).
% 149.75/150.47 0 [] class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 149.75/150.47 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocomm__monoid__add(T_1).
% 149.75/150.47 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 149.75/150.47 0 [] class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 149.75/150.47 0 [] class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__ring__1(T_1).
% 149.75/150.47 0 [] class_Ring__and__Field_Osemiring__1(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 149.75/150.47 0 [] class_Ring__and__Field_Osemiring__0(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 149.75/150.47 0 [] class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Oab__group__add(T_1).
% 149.75/150.47 0 [] class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 149.75/150.47 0 [] class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__ring(T_1).
% 149.75/150.47 0 [] class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 149.75/150.47 0 [] class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 149.75/150.47 0 [] class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocomm__monoid__add(T_1).
% 149.75/150.47 0 [] class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Oab__group__add(T_1).
% 149.75/150.47 0 [] class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 149.75/150.47 0 [] class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__ring__1(T_1).
% 149.75/150.47 0 [] class_Divides_Osemiring__div(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ofield(T_1).
% 149.75/150.47 0 [] class_Ring__and__Field_Oring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__ring(T_1).
% 149.75/150.47 0 [] class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oidom(T_1).
% 149.75/150.47 0 [] class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 149.75/150.47 0 [] class_Divides_Oring__div(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ofield(T_1).
% 149.75/150.47 0 [] class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__ring__1(T_1).
% 149.75/150.47 0 [] class_Power_Opower(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 149.75/150.47 0 [] class_HOL_Ozero(tc_Polynomial_Opoly(T_1))| -class_HOL_Ozero(T_1).
% 149.75/150.47 end_of_list.
% 149.75/150.47
% 149.75/150.47 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 149.75/150.47
% 149.75/150.47 This ia a non-Horn set with equality. The strategy will be
% 149.75/150.47 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 149.75/150.47 deletion, with positive clauses in sos and nonpositive
% 149.75/150.47 clauses in usable.
% 149.75/150.47
% 149.75/150.47 dependent: set(knuth_bendix).
% 149.75/150.47 dependent: set(anl_eq).
% 149.75/150.47 dependent: set(para_from).
% 149.75/150.47 dependent: set(para_into).
% 149.75/150.47 dependent: clear(para_from_right).
% 149.75/150.47 dependent: clear(para_into_right).
% 149.75/150.47 dependent: set(para_from_vars).
% 149.75/150.47 dependent: set(eq_units_both_ways).
% 149.75/150.47 dependent: set(dynamic_demod_all).
% 149.75/150.47 dependent: set(dynamic_demod).
% 149.75/150.47 dependent: set(order_eq).
% 149.75/150.47 dependent: set(back_demod).
% 149.75/150.47 dependent: set(lrpo).
% 149.75/150.47 dependent: set(hyper_res).
% 149.75/150.47 dependent: set(unit_deletion).
% 149.75/150.47 dependent: set(factor).
% 149.75/150.47
% 149.75/150.47 ------------> process usable:
% 149.75/150.47 ** KEPT (pick-wt=14): 1 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),B,A)=c_Divides_Odiv__class_Omod(C,B,A).
% 149.75/150.47 ** KEPT (pick-wt=17): 2 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),C,A),A)=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.47 ** KEPT (pick-wt=16): 3 [] -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 149.75/150.47 ** KEPT (pick-wt=20): 4 [] -class_Ring__and__Field_Ozero__ne_q__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 149.75/150.47 ** KEPT (pick-wt=10): 5 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Power_Opower__class_Opower(B,c_HOL_Ozero__class_Ozero(tc_nat),A)=c_HOL_Oone__class_Oone(A).
% 149.75/150.47 ** KEPT (pick-wt=10): 6 [] -class_Power_Opower(A)|c_Power_Opower__class_Opower(B,c_HOL_Ozero__class_Ozero(tc_nat),A)=c_HOL_Oone__class_Oone(A).
% 149.75/150.47 ** KEPT (pick-wt=7): 7 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(A),B,A).
% 149.75/150.47 ** KEPT (pick-wt=31): 8 [] -class_Divides_Osemiring__div(A)|c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,A),c_Divides_Odiv__class_Odiv(D,E,A),A)=c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,E,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(E,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,A).
% 149.75/150.47 ** KEPT (pick-wt=14): 9 [] -class_OrderedGroup_Oab__semigroup__idem__mult(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(B,C,A).
% 149.75/150.47 ** KEPT (pick-wt=15): 10 [] -class_Ring__and__Field_Oring(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 149.75/150.47 ** KEPT (pick-wt=15): 11 [] -class_Ring__and__Field_Oring(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 149.75/150.47 ** KEPT (pick-wt=13): 13 [copy,12,flip.2] -class_RealVector_Oreal__normed__vector(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(B,A),A)=c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(B,A),A).
% 149.75/150.47 ** KEPT (pick-wt=25): 14 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,E,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,E,A),A).
% 149.75/150.47 ** KEPT (pick-wt=17): 15 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A).
% 149.75/150.47 ** KEPT (pick-wt=14): 16 [] -class_Ring__and__Field_Oidom(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(C,c_HOL_Ozero__class_Ozero(A),A),A).
% 149.75/150.47 ** KEPT (pick-wt=14): 17 [] -class_Ring__and__Field_Oidom(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),C,A),A).
% 149.75/150.47 ** KEPT (pick-wt=14): 18 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(D,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 149.75/150.47 ** KEPT (pick-wt=6): 19 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,B,A).
% 149.75/150.47 ** KEPT (pick-wt=20): 20 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ominus__class_Ominus(C,D,A),A)=c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(B,C,A),c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 149.75/150.47 ** KEPT (pick-wt=20): 21 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ominus__class_Ominus(C,D,A),A)=c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(B,C,A),c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 149.75/150.47 ** KEPT (pick-wt=22): 22 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A).
% 149.75/150.47 ** KEPT (pick-wt=12): 23 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 149.75/150.47 ** KEPT (pick-wt=12): 24 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 149.75/150.47 ** KEPT (pick-wt=15): 26 [copy,25,flip.3] -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(C,B,A),B,A)=C.
% 149.75/150.47 Following clause subsumed by 26 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(C,B,A),B,A)=C.
% 149.75/150.47 Following clause subsumed by 26 during input processing: 0 [flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.47 Following clause subsumed by 26 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.47 ** KEPT (pick-wt=23): 27 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)=c_HOL_Otimes__class_Otimes(D,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),E,A),A).
% 149.75/150.47 ** KEPT (pick-wt=23): 28 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,c_HOL_Otimes__class_Otimes(D,E,A),A),A).
% 149.75/150.47 ** KEPT (pick-wt=23): 29 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,E,A),A).
% 149.75/150.47 ** KEPT (pick-wt=15): 30 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.47 ** KEPT (pick-wt=15): 31 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,C,A),B,A)=C|B=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.47 ** KEPT (pick-wt=20): 33 [copy,32,flip.2] -class_Ring__and__Field_Ofield(A)|c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,D,A),C,A).
% 149.75/150.47 ** KEPT (pick-wt=25): 34 [] -class_Ring__and__Field_Oidom(A)|c_Polynomial_Opoly(B,C,A)=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(C,A),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(A),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A),A),B,tc_Polynomial_Opoly(A)).
% 149.75/150.47 ** KEPT (pick-wt=25): 35 [] -class_Ring__and__Field_Oidom(A)|c_Polynomial_Opoly(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(C,A),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(A),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A),A),B,tc_Polynomial_Opoly(A)).
% 149.75/150.47 ** KEPT (pick-wt=25): 36 [] -class_Ring__and__Field_Oidom(A)|c_Polynomial_Opoly(B,c_HOL_Ouminus__class_Ouminus(C,A),A)!=c_HOL_Ozero__class_Ozero(A)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(C,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(A),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A),A),B,tc_Polynomial_Opoly(A)).
% 149.75/150.47 ** KEPT (pick-wt=25): 37 [] -class_Ring__and__Field_Oidom(A)|c_Polynomial_Opoly(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(C,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(A),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A),A),B,tc_Polynomial_Opoly(A)).
% 149.75/150.47 ** KEPT (pick-wt=14): 38 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),C,A)=c_Divides_Odiv__class_Omod(B,C,A).
% 149.75/150.47 ** KEPT (pick-wt=13): 39 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),C,A),A)=C.
% 149.75/150.47 ** KEPT (pick-wt=13): 40 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 149.75/150.47 ** KEPT (pick-wt=13): 41 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 149.75/150.47 ** KEPT (pick-wt=13): 42 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,D,A),C,A).
% 149.75/150.47 ** KEPT (pick-wt=13): 43 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(D,B,A),C,A).
% 149.75/150.47 ** KEPT (pick-wt=14): 44 [] -class_HOL_Ozero(A)|c_Polynomial_OpCons(B,C,A)!=c_Polynomial_OpCons(D,E,A)|C=E.
% 149.75/150.47 ** KEPT (pick-wt=14): 45 [] -class_HOL_Ozero(A)|c_Polynomial_OpCons(B,C,A)!=c_Polynomial_OpCons(D,E,A)|B=D.
% 149.75/150.47 ** KEPT (pick-wt=41): 47 [copy,46,flip.2] -class_RealVector_Oreal__normed__field(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,C,A),D,A),A),c_HOL_Oinverse__class_Oinverse(C,A),A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oinverse__class_Oinverse(C,A),A),D,A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.47 ** KEPT (pick-wt=15): 48 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(C,B,A).
% 149.75/150.47 ** KEPT (pick-wt=12): 50 [copy,49,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(B,A),A)=B.
% 149.75/150.47 ** KEPT (pick-wt=26): 51 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,A),A)!=c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,E,A),A)|D=E|C=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.47 ** KEPT (pick-wt=19): 52 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,A),c_HOL_Otimes__class_Otimes(C,C,A),A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.47 ** KEPT (pick-wt=19): 53 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,A),c_HOL_Otimes__class_Otimes(C,C,A),A)!=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.47 ** KEPT (pick-wt=14): 54 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Oone__class_Oone(A)|c_HOL_Oinverse__class_Oinverse(B,A)=C.
% 149.75/150.47 ** KEPT (pick-wt=8): 55 [] -class_OrderedGroup_Oab__semigroup__idem__mult(A)|c_HOL_Otimes__class_Otimes(B,B,A)=B.
% 149.75/150.47 ** KEPT (pick-wt=14): 56 [] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(B,A)!=c_HOL_Oinverse__class_Oinverse(C,A)|B=C.
% 149.75/150.47 ** KEPT (pick-wt=20): 57 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A).
% 149.75/150.47 ** KEPT (pick-wt=20): 58 [] -class_OrderedGroup_Ocomm__monoid__mult(A)|c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A).
% 149.75/150.47 ** KEPT (pick-wt=20): 59 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_Divides_Odiv__class_Omod(C,D,A),A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),D,A).
% 149.75/150.47 ** KEPT (pick-wt=20): 60 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,C,A),D,A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 149.75/150.47 ** KEPT (pick-wt=28): 61 [] -class_Ring__and__Field_Odvd(A)| -class_Ring__and__Field_Ocomm__ring(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(C,c_HOL_Otimes__class_Otimes(D,E,A),A),F,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oplus__class_Oplus(C,F,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,E,A).
% 149.75/150.47 ** KEPT (pick-wt=28): 62 [] -class_Ring__and__Field_Odvd(A)| -class_Ring__and__Field_Ocomm__ring(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(C,c_HOL_Otimes__class_Otimes(E,F,A),A),D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,F,A).
% 149.75/150.47 ** KEPT (pick-wt=17): 64 [copy,63,flip.2] -class_Divides_Osemiring__div(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,A),C,A),c_Divides_Odiv__class_Omod(B,C,A),A)=B.
% 149.75/150.47 Following clause subsumed by 64 during input processing: 0 [] -class_Divides_Osemiring__div(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,A),C,A),c_Divides_Odiv__class_Omod(B,C,A),A)=B.
% 149.75/150.47 ** KEPT (pick-wt=17): 65 [] -class_Divides_Osemiring__div(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,c_Divides_Odiv__class_Odiv(C,B,A),A),c_Divides_Odiv__class_Omod(C,B,A),A)=C.
% 149.75/150.47 ** KEPT (pick-wt=17): 66 [] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(B,C,A),A)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(B,A),C,A).
% 149.75/150.47 ** KEPT (pick-wt=15): 68 [copy,67,flip.3] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(B,A),A)=c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(B,A),A).
% 149.75/150.47 ** KEPT (pick-wt=16): 69 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,C,A)!=c_HOL_Oone__class_Oone(A)|C=c_HOL_Ozero__class_Ozero(A)|B=C.
% 149.75/150.47 ** KEPT (pick-wt=13): 70 [] -class_Int_Onumber__ring(A)|c_HOL_Ouminus__class_Ouminus(B,A)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(A),A),B,A).
% 149.75/150.47 ** KEPT (pick-wt=19): 72 [copy,71,flip.2] -class_Divides_Oring__div(A)|c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(B,C,A),A)=c_Divides_Odiv__class_Odiv(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,A).
% 149.75/150.47 ** KEPT (pick-wt=19): 74 [copy,73,flip.2] -class_Divides_Oring__div(A)|c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(B,C,A),A)=c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,A).
% 149.75/150.47 ** KEPT (pick-wt=17): 75 [] -class_OrderedGroup_Oab__semigroup__mult(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 149.75/150.47 ** KEPT (pick-wt=17): 76 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,D,A),C,A).
% 149.75/150.47 ** KEPT (pick-wt=17): 77 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 149.75/150.47 Following clause subsumed by 77 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 149.75/150.47 ** KEPT (pick-wt=17): 78 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A)=c_HOL_Otimes__class_Otimes(C,c_HOL_Otimes__class_Otimes(B,D,A),A).
% 149.75/150.47 Following clause subsumed by 77 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 149.75/150.47 ** KEPT (pick-wt=20): 79 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 149.75/150.47 ** KEPT (pick-wt=20): 80 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 149.75/150.47 Following clause subsumed by 80 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 149.75/150.47 ** KEPT (pick-wt=20): 81 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 149.75/150.47 Following clause subsumed by 81 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 149.75/150.47 ** KEPT (pick-wt=20): 82 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 149.75/150.47 ** KEPT (pick-wt=20): 83 [] -class_Ring__and__Field_Ocomm__semiring(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 149.75/150.47 ** KEPT (pick-wt=15): 84 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(C,B,A),A).
% 149.75/150.47 ** KEPT (pick-wt=17): 85 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 149.75/150.47 ** KEPT (pick-wt=15): 86 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 149.75/150.47 ** KEPT (pick-wt=15): 87 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Oinverse(B,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A)|B=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.47 ** KEPT (pick-wt=22): 89 [copy,88,flip.2] -class_Divides_Osemiring__div(A)|c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(B,C,A),c_HOL_Oone__class_Oone(A),A)=c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(C,B,A),C,A)|C=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.47 ** KEPT (pick-wt=22): 91 [copy,90,flip.2] -class_Divides_Osemiring__div(A)|c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(B,C,A),c_HOL_Oone__class_Oone(A),A)=c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(B,C,A),C,A)|C=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.47 ** KEPT (pick-wt=9): 92 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(A),A)=c_HOL_Oone__class_Oone(A).
% 149.75/150.47 Following clause subsumed by 79 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,D,A),C,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A).
% 149.75/150.47 ** KEPT (pick-wt=37): 93 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,E,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A),c_HOL_Otimes__class_Otimes(C,E,A),A)|E=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.47 ** KEPT (pick-wt=15): 95 [copy,94,flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 149.75/150.47 Following clause subsumed by 95 during input processing: 0 [flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 149.75/150.47 ** KEPT (pick-wt=15): 97 [copy,96,flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 149.75/150.47 Following clause subsumed by 97 during input processing: 0 [flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 149.75/150.47 ** KEPT (pick-wt=15): 98 [] -class_Ring__and__Field_Oidom(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(B,A),A)=c_HOL_Otimes__class_Otimes(B,B,A).
% 149.75/150.47 ** KEPT (pick-wt=15): 99 [] -class_Ring__and__Field_Oring(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Otimes__class_Otimes(B,C,A).
% 149.75/150.47 ** KEPT (pick-wt=15): 100 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,A),B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.47 ** KEPT (pick-wt=15): 101 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,A),B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.47 ** KEPT (pick-wt=15): 102 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oinverse__class_Oinverse(B,A),A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.47 ** KEPT (pick-wt=21): 103 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)=c_Divides_Odiv__class_Odiv(C,D,A)|B=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.47 ** KEPT (pick-wt=21): 104 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)=c_Divides_Odiv__class_Odiv(B,D,A)|C=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.47 ** KEPT (pick-wt=11): 105 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(B,A),A)=c_HOL_Osgn__class_Osgn(B,A).
% 149.75/150.47 ** KEPT (pick-wt=13): 106 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(B,A),A)=c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(B,A),A).
% 149.75/150.47 ** KEPT (pick-wt=18): 108 [copy,107,flip.2] -class_Divides_Oring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(B,C,A),A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 149.75/150.47 ** KEPT (pick-wt=17): 109 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 149.75/150.47 ** KEPT (pick-wt=33): 111 [copy,110,flip.2] -class_Ring__and__Field_Ofield(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oinverse__class_Oinverse(B,A),A),c_HOL_Oinverse__class_Oinverse(C,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oinverse__class_Oinverse(C,A),A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.47 ** KEPT (pick-wt=33): 113 [copy,112,flip.2] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oplus__class_Oplus(B,C,A),A),c_HOL_Oinverse__class_Oinverse(C,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oinverse__class_Oinverse(C,A),A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.48 ** KEPT (pick-wt=12): 115 [copy,114,flip.2] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Osgn__class_Osgn(B,A),A)=c_HOL_Oabs__class_Oabs(B,A).
% 149.75/150.48 ** KEPT (pick-wt=11): 116 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ouminus__class_Ouminus(B,A).
% 149.75/150.48 ** KEPT (pick-wt=26): 117 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(D,C,A),A),C,A)|C=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.48 ** KEPT (pick-wt=26): 118 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oinverse__class_Odivide(C,D,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(C,c_HOL_Otimes__class_Otimes(B,D,A),A),D,A)|D=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.48 ** KEPT (pick-wt=23): 119 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,D,A),c_HOL_Oplus__class_Oplus(C,E,A),A).
% 149.75/150.48 ** KEPT (pick-wt=35): 121 [copy,120,flip.2] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Ominus__class_Ominus(B,C,A),A),c_HOL_Oinverse__class_Oinverse(C,A),A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oinverse__class_Oinverse(C,A),A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.48 ** KEPT (pick-wt=13): 123 [copy,122,flip.2] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 149.75/150.48 ** KEPT (pick-wt=13): 125 [copy,124,flip.2] -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 149.75/150.48 ** KEPT (pick-wt=13): 127 [copy,126,flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 149.75/150.48 Following clause subsumed by 123 during input processing: 0 [flip.2] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 149.75/150.48 ** KEPT (pick-wt=19): 128 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Oinverse__class_Odivide(B,C,A)|C=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.48 ** KEPT (pick-wt=24): 129 [] -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(B,D,A),c_Divides_Odiv__class_Odiv(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(D,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(D,B,A).
% 149.75/150.48 ** KEPT (pick-wt=24): 130 [] -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(B,C,A),c_Divides_Odiv__class_Odiv(D,C,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(C,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,A).
% 149.75/150.48 ** KEPT (pick-wt=12): 131 [] -class_Ring__and__Field_Ocomm__ring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 149.75/150.48 ** KEPT (pick-wt=12): 132 [] -class_Ring__and__Field_Ocomm__ring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 149.75/150.48 ** KEPT (pick-wt=12): 133 [] -class_Ring__and__Field_Ocomm__ring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 149.75/150.48 ** KEPT (pick-wt=12): 134 [] -class_Ring__and__Field_Ocomm__ring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 149.75/150.48 ** KEPT (pick-wt=23): 136 [copy,135,flip.2] -class_Divides_Oring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(B,C,A),c_Divides_Odiv__class_Omod(D,C,A),A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(B,D,A),C,A).
% 149.75/150.48 ** KEPT (pick-wt=9): 137 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Oone__class_Oone(A),A)=B.
% 149.75/150.48 ** KEPT (pick-wt=11): 138 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(B,A),A)=c_HOL_Oabs__class_Oabs(B,A).
% 149.75/150.48 ** KEPT (pick-wt=16): 139 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(B,D,A)|C=D.
% 149.75/150.48 ** KEPT (pick-wt=14): 140 [] -class_OrderedGroup_Ocancel__ab__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(B,D,A)|C=D.
% 149.75/150.48 ** KEPT (pick-wt=14): 141 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(B,D,A)|C=D.
% 149.75/150.48 ** KEPT (pick-wt=14): 142 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(D,C,A)|B=D.
% 149.75/150.48 ** KEPT (pick-wt=19): 143 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oinverse__class_Oinverse(C,A),A).
% 149.75/150.48 ** KEPT (pick-wt=25): 144 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(C,A),c_HOL_Oinverse__class_Oinverse(B,A),A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.48 ** KEPT (pick-wt=13): 145 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(B,C,A)=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,A).
% 149.75/150.48 ** KEPT (pick-wt=13): 146 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|c_Ring__and__Field_Odvd__class_Odvd(C,B,A).
% 149.75/150.48 ** KEPT (pick-wt=13): 147 [] -class_HOL_Ozero(A)|c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 149.75/150.48 ** KEPT (pick-wt=20): 149 [copy,148,flip.2] -class_RealVector_Oreal__normed__field(A)|c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,D,A),C,A).
% 149.75/150.48 ** KEPT (pick-wt=17): 150 [] -class_Ring__and__Field_Ocomm__ring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Ominus__class_Ominus(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 149.75/150.48 ** KEPT (pick-wt=19): 151 [] -class_Ring__and__Field_Oidom(A)|c_HOL_Otimes__class_Otimes(B,B,A)!=c_HOL_Otimes__class_Otimes(C,C,A)|B=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 149.75/150.48 Following clause subsumed by 7 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(A),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(A),B,A),A).
% 149.75/150.48 ** KEPT (pick-wt=12): 152 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(B,A),c_HOL_Oabs__class_Oabs(B,A),A)=B.
% 149.75/150.48 ** KEPT (pick-wt=17): 153 [] -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A).
% 149.75/150.48 ** KEPT (pick-wt=17): 154 [] -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 149.75/150.48 Following clause subsumed by 153 during input processing: 0 [] -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 149.75/150.48 Following clause subsumed by 154 during input processing: 0 [] -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 149.75/150.48 ** KEPT (pick-wt=15): 156 [copy,155,flip.2] -class_RealVector_Oreal__vector(A)|c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(B,C,A),A)=c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 149.75/150.48 ** KEPT (pick-wt=15): 158 [copy,157,flip.2] -class_RealVector_Oreal__normed__vector(A)|c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(B,C,A),A)=c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 149.75/150.48 ** KEPT (pick-wt=26): 159 [] -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(D,B,A),C,A),E,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,C,A),E,A).
% 149.75/150.48 ** KEPT (pick-wt=28): 161 [copy,160,flip.2] -class_Divides_Osemiring__div(A)|c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(B,C,A),c_Divides_Odiv__class_Odiv(D,C,A),A)=c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(B,D,A),C,A)| -c_Ring__and__Field_Odvd__class_Odvd(C,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,A).
% 149.75/150.48 ** KEPT (pick-wt=11): 162 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Oinverse(B,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A).
% 149.75/150.48 Following clause subsumed by 162 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|c_HOL_Oinverse__class_Oinverse(B,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A).
% 149.75/150.48 ** KEPT (pick-wt=20): 163 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,C,A),D,A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,D,A),C,A).
% 149.75/150.48 ** KEPT (pick-wt=19): 164 [] -class_SEQ_Obanach(A)| -class_RealVector_Oreal__normed__field(A)|c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(B,A),c_Transcendental_Oexp(C,A),A).
% 149.75/150.48 ** KEPT (pick-wt=9): 165 [] -class_OrderedGroup_Omonoid__mult(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oone__class_Oone(A),A)=B.
% 149.75/150.48 ** KEPT (pick-wt=9): 166 [] -class_OrderedGroup_Omonoid__mult(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 149.75/150.48 ** KEPT (pick-wt=9): 167 [] -class_OrderedGroup_Ocomm__monoid__mult(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 149.75/150.48 ** KEPT (pick-wt=9): 168 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 149.75/150.48 ** KEPT (pick-wt=9): 169 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oone__class_Oone(A),A)=B.
% 149.75/150.48 Following clause subsumed by 168 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 149.75/150.48 ** KEPT (pick-wt=9): 170 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(C,B,A),A).
% 149.75/150.48 ** KEPT (pick-wt=9): 171 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(B,C,A),A).
% 149.75/150.48 ** KEPT (pick-wt=9): 172 [] -class_Ring__and__Field_Odvd(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(B,C,A),A).
% 149.75/150.48 ** KEPT (pick-wt=14): 174 [copy,173,flip.2] -class_OrderedGroup_Olordered__ab__group__add__abs(A)|c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(B,A),A)=c_HOL_Oabs__class_Oabs(B,A).
% 149.75/150.48 ** KEPT (pick-wt=21): 176 [copy,175,flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A),C,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),c_Power_Opower__class_Opower(B,C,A),A).
% 149.75/150.48 ** KEPT (pick-wt=19): 177 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(B,c_HOL_Ouminus__class_Ouminus(C,A),A)|C=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.48 ** KEPT (pick-wt=25): 178 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(B,C,A),A).
% 149.75/150.48 Following clause subsumed by 178 during input processing: 0 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(B,C,A),A).
% 149.75/150.48 ** KEPT (pick-wt=11): 179 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,C,A),C,A)=B.
% 149.75/150.48 ** KEPT (pick-wt=11): 180 [] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(B,A),A)=B.
% 149.75/150.48 ** KEPT (pick-wt=12): 181 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Opcompose(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,A)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 149.75/150.48 ** KEPT (pick-wt=11): 182 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,C,A)=c_HOL_Otimes__class_Otimes(C,B,A).
% 149.75/150.48 Following clause subsumed by 182 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,C,A)=c_HOL_Otimes__class_Otimes(C,B,A).
% 149.75/150.48 ** KEPT (pick-wt=23): 184 [copy,183,flip.2] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,C,A),c_Divides_Odiv__class_Omod(D,C,A),A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 149.75/150.48 ** KEPT (pick-wt=17): 185 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(C,c_HOL_Oplus__class_Oplus(B,D,A),A).
% 149.75/150.48 ** KEPT (pick-wt=17): 186 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 149.75/150.48 ** KEPT (pick-wt=17): 188 [copy,187,flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 149.75/150.48 ** KEPT (pick-wt=17): 189 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(C,c_HOL_Oplus__class_Oplus(B,D,A),A).
% 149.75/150.48 ** KEPT (pick-wt=17): 190 [] -class_OrderedGroup_Oab__semigroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 149.75/150.48 Following clause subsumed by 188 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 149.75/150.48 ** KEPT (pick-wt=17): 191 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 149.75/150.48 ** KEPT (pick-wt=17): 192 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(C,c_HOL_Oplus__class_Oplus(B,D,A),A).
% 149.75/150.48 Following clause subsumed by 188 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 149.75/150.48 ** KEPT (pick-wt=16): 193 [] -class_Ring__and__Field_Ozero__ne_q__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(B,c_HOL_Ozero__class_Ozero(tc_nat),A)!=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.48 ** KEPT (pick-wt=13): 194 [] -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A).
% 149.75/150.48 Following clause subsumed by 194 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.48 Following clause subsumed by 194 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.48 Following clause subsumed by 59 during input processing: 0 [flip.2] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_Divides_Odiv__class_Omod(C,D,A),A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),D,A).
% 149.75/150.48 Following clause subsumed by 60 during input processing: 0 [flip.2] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,D,A),C,A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),D,A).
% 149.75/150.48 ** KEPT (pick-wt=14): 195 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 149.75/150.48 ** KEPT (pick-wt=14): 196 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 149.75/150.48 ** KEPT (pick-wt=17): 197 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Oinverse__class_Odivide(B,C,A).
% 149.75/150.48 ** KEPT (pick-wt=15): 199 [copy,198,flip.2] -class_RealVector_Oreal__normed__field(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 149.75/150.48 ** KEPT (pick-wt=41): 201 [copy,200,flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ominus__class_Ominus(D,E,A),A),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),E,A),A),c_HOL_Otimes__class_Otimes(C,c_HOL_Ominus__class_Ominus(D,E,A),A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,E,A),A).
% 149.75/150.48 ** KEPT (pick-wt=26): 203 [copy,202,flip.2] -class_Ring__and__Field_Osemiring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A),E,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,D,A),E,A),A).
% 149.75/150.48 ** KEPT (pick-wt=11): 204 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.48 ** KEPT (pick-wt=11): 205 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.48 ** KEPT (pick-wt=11): 206 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(B,A),A)=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.48 Following clause subsumed by 204 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.48 ** KEPT (pick-wt=20): 207 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ominus__class_Ominus(C,D,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 149.75/150.48 Following clause subsumed by 207 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ominus__class_Ominus(C,D,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 149.75/150.48 ** KEPT (pick-wt=20): 208 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),D,A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 149.75/150.48 Following clause subsumed by 208 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),D,A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 149.75/150.48 ** KEPT (pick-wt=23): 210 [copy,209,flip.2] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ominus__class_Ominus(D,E,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,D,A),c_HOL_Oplus__class_Oplus(C,E,A),A).
% 149.75/150.48 ** KEPT (pick-wt=9): 211 [] -class_RealVector_Oreal__normed__algebra__1(A)|c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(A),A)=c_HOL_Oone__class_Oone(A).
% 149.75/150.48 ** KEPT (pick-wt=21): 212 [] -class_Divides_Osemiring__div(A)|c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,A),D,A)=c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,D,A),C,A)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,A).
% 149.75/150.48 ** KEPT (pick-wt=14): 213 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(B,A)!=c_HOL_Oone__class_Oone(A)|B=c_HOL_Oone__class_Oone(A).
% 149.75/150.48 ** KEPT (pick-wt=15): 214 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(B,C,A),A)=c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(B,A),C,A).
% 149.75/150.48 ** KEPT (pick-wt=16): 215 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(B,C,A),c_Power_Opower__class_Opower(D,C,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 149.75/150.48 ** KEPT (pick-wt=15): 217 [copy,216,flip.3] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(B,A),A)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(B,A),A).
% 149.75/150.48 ** KEPT (pick-wt=19): 218 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A).
% 149.75/150.48 ** KEPT (pick-wt=20): 220 [copy,219,flip.2] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,c_Divides_Odiv__class_Omod(C,D,A),A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,A),D,A).
% 149.75/150.48 Following clause subsumed by 163 during input processing: 0 [flip.2] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,D,A),C,A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,A),D,A).
% 149.75/150.48 ** KEPT (pick-wt=20): 221 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(B,C,A),c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 149.75/150.48 ** KEPT (pick-wt=20): 222 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(B,C,A),c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 149.75/150.48 ** KEPT (pick-wt=16): 223 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)!=C|B=c_HOL_Ouminus__class_Ouminus(D,A).
% 149.75/150.48 ** KEPT (pick-wt=23): 224 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)=c_HOL_Oinverse__class_Odivide(B,D,A)|C=c_HOL_Ozero__class_Ozero(A).
% 149.75/150.48 ** KEPT (pick-wt=23): 225 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Oinverse__class_Odivide(C,D,A)|B=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.48 ** KEPT (pick-wt=19): 226 [] -class_SEQ_Obanach(A)| -class_RealVector_Oreal__normed__field(A)|c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(B,A),c_Transcendental_Oexp(C,A),A).
% 150.35/150.48 ** KEPT (pick-wt=19): 227 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,D,A),C,A).
% 150.35/150.48 ** KEPT (pick-wt=15): 228 [] -class_Divides_Osemiring__div(A)|c_HOL_Otimes__class_Otimes(B,c_Divides_Odiv__class_Odiv(C,B,A),A)=C| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 150.35/150.48 ** KEPT (pick-wt=15): 229 [] -class_Divides_Osemiring__div(A)|c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,A),C,A)=B| -c_Ring__and__Field_Odvd__class_Odvd(C,B,A).
% 150.35/150.48 ** KEPT (pick-wt=13): 230 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Oplus__class_Oplus(B,C,A).
% 150.35/150.48 ** KEPT (pick-wt=17): 231 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,A),A),C,A)=c_Divides_Odiv__class_Omod(B,C,A).
% 150.35/150.48 ** KEPT (pick-wt=17): 232 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,A),A),D,A)=c_Divides_Odiv__class_Omod(B,D,A).
% 150.35/150.48 ** KEPT (pick-wt=20): 233 [] -class_Ring__and__Field_Oidom(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)|D=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 150.35/150.48 ** KEPT (pick-wt=20): 234 [] -class_Ring__and__Field_Oidom(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)|D=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(D,B,A),c_HOL_Otimes__class_Otimes(D,C,A),A).
% 150.35/150.48 ** KEPT (pick-wt=11): 235 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,A),C,A)=B.
% 150.35/150.48 ** KEPT (pick-wt=20): 237 [copy,236,flip.2] -class_Ring__and__Field_Ofield(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 150.35/150.48 ** KEPT (pick-wt=20): 239 [copy,238,flip.2] -class_RealVector_Oreal__normed__field(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 150.35/150.48 ** KEPT (pick-wt=9): 240 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 150.35/150.48 Following clause subsumed by 240 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 150.35/150.48 Following clause subsumed by 240 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 150.35/150.48 ** KEPT (pick-wt=9): 241 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 150.35/150.48 Following clause subsumed by 240 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 150.35/150.48 ** KEPT (pick-wt=9): 242 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(B,c_HOL_Oone__class_Oone(A),A)=B.
% 150.35/150.48 ** KEPT (pick-wt=13): 243 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_HOL_Ominus__class_Ominus(C,B,A).
% 150.35/150.48 ** KEPT (pick-wt=17): 245 [copy,244,flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(C,D,A),A)=c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(B,C,A),D,A).
% 150.35/150.48 Following clause subsumed by 245 during input processing: 0 [flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(C,D,A),A)=c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(B,C,A),D,A).
% 150.35/150.48 ** KEPT (pick-wt=17): 247 [copy,246,flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(C,D,A),A)=c_HOL_Otimes__class_Otimes(C,c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 150.35/150.48 Following clause subsumed by 247 during input processing: 0 [flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_RealVector_OscaleR__class_OscaleR(C,c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Otimes__class_Otimes(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A).
% 150.35/150.48 ** KEPT (pick-wt=17): 249 [copy,248,flip.2] -class_RealVector_Oreal__algebra(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(C,D,A),A)=c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(B,C,A),D,A).
% 150.35/150.48 ** KEPT (pick-wt=17): 251 [copy,250,flip.2] -class_RealVector_Oreal__algebra(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(C,D,A),A)=c_HOL_Otimes__class_Otimes(C,c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 150.35/150.48 ** KEPT (pick-wt=17): 253 [copy,252,flip.2] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(B,A),A)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(B,A),A)|B=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.48 ** KEPT (pick-wt=10): 254 [] -class_OrderedGroup_Omonoid__mult(A)|c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(A),B,A)=c_HOL_Oone__class_Oone(A).
% 150.35/150.48 ** KEPT (pick-wt=21): 255 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A)|C=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.48 ** KEPT (pick-wt=20): 257 [copy,256,flip.2] -class_Divides_Oring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(B,C,A),D,A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(B,D,A),C,A).
% 150.35/150.48 ** KEPT (pick-wt=20): 259 [copy,258,flip.2] -class_Divides_Oring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(B,c_Divides_Odiv__class_Omod(C,D,A),A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(B,C,A),D,A).
% 150.35/150.48 Following clause subsumed by 226 during input processing: 0 [flip.3] -class_SEQ_Obanach(A)| -class_RealVector_Oreal__normed__field(A)|c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(B,A),c_Transcendental_Oexp(C,A),A).
% 150.35/150.48 ** KEPT (pick-wt=20): 260 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)!=c_HOL_Oplus__class_Oplus(C,E,A)|c_HOL_Oplus__class_Oplus(B,D,A)=E.
% 150.35/150.48 ** KEPT (pick-wt=13): 262 [copy,261,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A),A)=c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(B,A),A).
% 150.35/150.48 ** KEPT (pick-wt=11): 263 [] -class_SEQ_Obanach(A)| -class_RealVector_Oreal__normed__field(A)|c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Oone__class_Oone(A).
% 150.35/150.48 ** KEPT (pick-wt=17): 265 [copy,264,flip.2] -class_RealVector_Oreal__normed__field(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Oinverse__class_Odivide(C,D,A),A)=c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(B,C,A),D,A).
% 150.35/150.48 Following clause subsumed by 6 during input processing: 0 [] -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(tc_nat),A)=c_HOL_Oone__class_Oone(A).
% 150.35/150.48 ** KEPT (pick-wt=38): 267 [copy,266,flip.2] -class_RealVector_Oreal__field(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(C,D,A),E,A),A),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,F,A),E,A),D,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(F,D,A),A),E,A).
% 150.35/150.48 ** KEPT (pick-wt=14): 268 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(B,C,A),C,A)=c_Divides_Odiv__class_Omod(B,C,A).
% 150.35/150.48 ** KEPT (pick-wt=13): 269 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.48 Following clause subsumed by 159 during input processing: 0 [flip.2] -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,A),C,A),D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A).
% 150.35/150.48 ** KEPT (pick-wt=16): 270 [] -class_Ring__and__Field_Oidom(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(C,D,A).
% 150.35/150.48 ** KEPT (pick-wt=16): 271 [] -class_Ring__and__Field_Oidom(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 150.35/150.48 ** KEPT (pick-wt=11): 272 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(B,A),A)=c_HOL_Oabs__class_Oabs(B,A).
% 150.35/150.48 ** KEPT (pick-wt=29): 273 [] -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),F,A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,A),C,A),D,A)=F.
% 150.35/150.48 ** KEPT (pick-wt=29): 274 [] -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),F,A)|D=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(E,B,A),C,A),F,A).
% 150.35/150.48 ** KEPT (pick-wt=23): 275 [] -class_Divides_Osemiring__div(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,A),C,A),c_Divides_Odiv__class_Omod(B,C,A),A),D,A)=c_HOL_Oplus__class_Oplus(B,D,A).
% 150.35/150.48 ** KEPT (pick-wt=23): 276 [] -class_Divides_Osemiring__div(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,c_Divides_Odiv__class_Odiv(C,B,A),A),c_Divides_Odiv__class_Omod(C,B,A),A),D,A)=c_HOL_Oplus__class_Oplus(C,D,A).
% 150.35/150.48 ** KEPT (pick-wt=17): 277 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A)=c_RealVector_OscaleR__class_OscaleR(C,c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 150.35/150.48 ** KEPT (pick-wt=17): 278 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A)=c_RealVector_OscaleR__class_OscaleR(C,c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 150.35/150.48 Following clause subsumed by 277 during input processing: 0 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A)=c_RealVector_OscaleR__class_OscaleR(C,c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 150.35/150.48 ** KEPT (pick-wt=11): 279 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 150.35/150.48 Following clause subsumed by 279 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 150.35/150.48 ** KEPT (pick-wt=11): 280 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 150.35/150.48 ** KEPT (pick-wt=22): 281 [] -class_Ring__and__Field_Oring__1(A)|c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(B,A),C,A)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(A),A),C,A),c_Power_Opower__class_Opower(B,C,A),A).
% 150.35/150.48 ** KEPT (pick-wt=12): 282 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(B,C,A),C,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.48 ** KEPT (pick-wt=15): 283 [] -class_HOL_Ozero(A)|c_Polynomial_OpCons(B,C,A)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A))|C=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 150.35/150.48 ** KEPT (pick-wt=14): 284 [] -class_HOL_Ozero(A)|c_Polynomial_OpCons(B,C,A)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A))|B=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.48 ** KEPT (pick-wt=24): 285 [] -class_Divides_Oring__div(A)|c_Divides_Odiv__class_Omod(B,C,A)!=c_Divides_Odiv__class_Omod(D,C,A)|c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(B,A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(D,A),C,A).
% 150.35/150.48 ** KEPT (pick-wt=23): 287 [copy,286,flip.2] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,C,A),c_Divides_Odiv__class_Omod(D,C,A),A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,D,A),C,A).
% 150.35/150.48 ** KEPT (pick-wt=17): 288 [] -class_OrderedGroup_Omonoid__mult(A)|c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(B,C,A),B,A)=c_HOL_Otimes__class_Otimes(B,c_Power_Opower__class_Opower(B,C,A),A).
% 150.35/150.48 ** KEPT (pick-wt=24): 289 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,A),A),D,A)=c_HOL_Oplus__class_Oplus(C,c_Divides_Odiv__class_Odiv(B,D,A),A)|D=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.48 ** KEPT (pick-wt=24): 290 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,A),A),C,A)=c_HOL_Oplus__class_Oplus(D,c_Divides_Odiv__class_Odiv(B,C,A),A)|C=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.48 ** KEPT (pick-wt=16): 292 [copy,291,flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(A),c_HOL_Oone__class_Oone(A),A),B,A)=c_HOL_Oplus__class_Oplus(B,B,A).
% 150.35/150.48 ** KEPT (pick-wt=15): 294 [copy,293,flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.48 ** KEPT (pick-wt=35): 295 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(B,C,A)!=c_Divides_Odiv__class_Omod(D,C,A)|c_Divides_Odiv__class_Omod(E,C,A)!=c_Divides_Odiv__class_Omod(F,C,A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(E,B,A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(F,D,A),C,A).
% 150.35/150.48 ** KEPT (pick-wt=14): 296 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|c_HOL_Ouminus__class_Ouminus(B,A)=C.
% 150.35/150.48 ** KEPT (pick-wt=14): 297 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ouminus__class_Ouminus(C,A).
% 150.35/150.48 ** KEPT (pick-wt=24): 298 [] -class_Divides_Osemiring__div(A)|c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(B,C,A),D,A)=c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,A).
% 150.35/150.48 ** KEPT (pick-wt=31): 299 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A)|C=E|B=D.
% 150.35/150.48 Following clause subsumed by 299 during input processing: 0 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A)|C=E|B=D.
% 150.35/150.48 ** KEPT (pick-wt=15): 300 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(B,A),A)=c_HOL_Otimes__class_Otimes(B,B,A).
% 150.35/150.48 ** KEPT (pick-wt=19): 301 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(B,C,A),A)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(B,A),C,A)|B=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.48 ** KEPT (pick-wt=17): 303 [copy,302,flip.2] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(B,A),A)=c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(B,A),A)|B=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.48 ** KEPT (pick-wt=35): 304 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(B,C,A)!=c_Divides_Odiv__class_Omod(D,C,A)|c_Divides_Odiv__class_Omod(E,C,A)!=c_Divides_Odiv__class_Omod(F,C,A)|c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(E,B,A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(F,D,A),C,A).
% 150.35/150.49 ** KEPT (pick-wt=37): 305 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,E,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A),c_HOL_Otimes__class_Otimes(C,E,A),A)|E=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=17): 307 [copy,306,flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 Following clause subsumed by 307 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=17): 308 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(B,A),C,A),A)=c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(B,C,A),A).
% 150.35/150.49 ** KEPT (pick-wt=18): 310 [copy,309,flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(A),A),C,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),C,A).
% 150.35/150.49 ** KEPT (pick-wt=18): 312 [copy,311,flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(A),A),C,A)=c_HOL_Oplus__class_Oplus(C,c_HOL_Otimes__class_Otimes(B,C,A),A).
% 150.35/150.49 ** KEPT (pick-wt=10): 313 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(B,c_HOL_Oone__class_Oone(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=12): 314 [] -class_Ring__and__Field_Oordered__idom(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(B,A),C,A).
% 150.35/150.49 ** KEPT (pick-wt=12): 315 [] -class_Ring__and__Field_Oordered__idom(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(B,A),C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 150.35/150.49 ** KEPT (pick-wt=12): 316 [] -class_Ring__and__Field_Oordered__idom(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oabs__class_Oabs(C,A),A).
% 150.35/150.49 ** KEPT (pick-wt=12): 317 [] -class_Ring__and__Field_Oordered__idom(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oabs__class_Oabs(C,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 150.35/150.49 ** KEPT (pick-wt=35): 318 [] -class_Divides_Oring__div(A)|c_Divides_Odiv__class_Omod(B,C,A)!=c_Divides_Odiv__class_Omod(D,C,A)|c_Divides_Odiv__class_Omod(E,C,A)!=c_Divides_Odiv__class_Omod(F,C,A)|c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(E,B,A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(F,D,A),C,A).
% 150.35/150.49 ** KEPT (pick-wt=13): 319 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Oplus__class_Oplus(C,B,A),A)=C.
% 150.35/150.49 ** KEPT (pick-wt=13): 320 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Oplus__class_Oplus(B,C,A),A)=C.
% 150.35/150.49 ** KEPT (pick-wt=11): 321 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(A),A)=c_HOL_Oone__class_Oone(A).
% 150.35/150.49 ** KEPT (pick-wt=9): 322 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(A),A)=c_HOL_Oone__class_Oone(A).
% 150.35/150.49 ** KEPT (pick-wt=8): 323 [] c_Complex_Ocnj(A)!=c_Complex_Ocnj(B)|A=B.
% 150.35/150.49 ** KEPT (pick-wt=15): 324 [] -class_Ring__and__Field_Oring(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 150.35/150.49 ** KEPT (pick-wt=13): 326 [copy,325,flip.2] -class_Ring__and__Field_Ofield(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oinverse__class_Oinverse(C,A),A)=c_HOL_Oinverse__class_Odivide(B,C,A).
% 150.35/150.49 Following clause subsumed by 326 during input processing: 0 [flip.3] -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oinverse__class_Oinverse(C,A),A)=c_HOL_Oinverse__class_Odivide(B,C,A).
% 150.35/150.49 ** KEPT (pick-wt=18): 327 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(B,C,A),D,A)=c_Divides_Odiv__class_Omod(B,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(D,C,A).
% 150.35/150.49 ** KEPT (pick-wt=21): 328 [] -class_Ring__and__Field_Oidom(A)|c_Polynomial_Oorder(B,C,A)!=c_HOL_Ozero__class_Ozero(tc_nat)|C=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A))|c_Polynomial_Opoly(C,B,A)!=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=17): 330 [copy,329,flip.2] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 150.35/150.49 ** KEPT (pick-wt=24): 331 [] -class_Ring__and__Field_Ofield(A)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A)|C=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=20): 332 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(C,E,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 150.35/150.49 ** KEPT (pick-wt=21): 333 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A).
% 150.35/150.49 ** KEPT (pick-wt=20): 334 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Opoly(c_Polynomial_OpCons(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(D,c_Polynomial_Opoly(C,D,A),A),A).
% 150.35/150.49 ** KEPT (pick-wt=12): 335 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=12): 336 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=15): 337 [] -class_SEQ_Obanach(A)| -class_RealVector_Oreal__normed__field(A)|c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(B,A),A)=c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(B,A),A).
% 150.35/150.49 ** KEPT (pick-wt=33): 339 [copy,338,flip.2] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Ominus__class_Ominus(C,B,A),A),c_HOL_Oinverse__class_Oinverse(C,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oinverse__class_Oinverse(C,A),A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=17): 340 [] -class_Divides_Osemiring__div(A)|c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,C,A),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,A),C,A),A)=B.
% 150.35/150.49 ** KEPT (pick-wt=19): 341 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=6): 342 [] -class_Ring__and__Field_Osemiring__1(A)| -c_Int_Oiszero(c_HOL_Oone__class_Oone(A),A).
% 150.35/150.49 ** KEPT (pick-wt=28): 343 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,C,A)!=c_HOL_Oinverse__class_Odivide(D,E,A)|E=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A)|c_HOL_Otimes__class_Otimes(B,E,A)=c_HOL_Otimes__class_Otimes(D,C,A).
% 150.35/150.49 ** KEPT (pick-wt=28): 344 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Otimes__class_Otimes(D,E,A)|C=c_HOL_Ozero__class_Ozero(A)|E=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(B,E,A)=c_HOL_Oinverse__class_Odivide(D,C,A).
% 150.35/150.49 ** KEPT (pick-wt=17): 345 [] -class_RealVector_Oreal__normed__div__algebra(A)|c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(B,A),c_HOL_Osgn__class_Osgn(C,A),A).
% 150.35/150.49 ** KEPT (pick-wt=17): 346 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(B,A),c_HOL_Osgn__class_Osgn(C,A),A).
% 150.35/150.49 ** KEPT (pick-wt=20): 348 [copy,347,flip.2] -class_Divides_Osemiring__div(A)|c_HOL_Otimes__class_Otimes(B,c_Divides_Odiv__class_Omod(C,D,A),A)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 150.35/150.49 ** KEPT (pick-wt=20): 350 [copy,349,flip.2] -class_Divides_Osemiring__div(A)|c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,C,A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 150.35/150.49 Following clause subsumed by 294 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=13): 351 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oabs__class_Oabs(B,A)!=c_HOL_Oabs__class_Oabs(C,A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 150.35/150.49 ** KEPT (pick-wt=17): 352 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(B,C,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(C,A),c_HOL_Ouminus__class_Ouminus(B,A),A).
% 150.35/150.49 ** KEPT (pick-wt=17): 353 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(B,C,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 150.35/150.49 ** KEPT (pick-wt=12): 355 [copy,354,flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=18): 356 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,C,A)!=c_RealVector_OscaleR__class_OscaleR(D,C,A)|C=c_HOL_Ozero__class_Ozero(A)|B=D.
% 150.35/150.49 ** KEPT (pick-wt=13): 357 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ozero__class_Ozero(A),A)=c_RealVector_OscaleR__class_OscaleR(C,c_HOL_Ozero__class_Ozero(A),A).
% 150.35/150.49 ** KEPT (pick-wt=12): 358 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=4): 360 [copy,359,flip.1] c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)!=c_Complex_Oii.
% 150.35/150.49 ** KEPT (pick-wt=6): 361 [] -class_Ring__and__Field_Osemiring__1(A)|c_Int_Oiszero(c_HOL_Ozero__class_Ozero(A),A).
% 150.35/150.49 ** KEPT (pick-wt=9): 362 [] -class_OrderedGroup_Oordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=9): 363 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=9): 364 [] c_Complex_Ocnj(A)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|A=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 150.35/150.49 ** KEPT (pick-wt=12): 365 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Oinverse__class_Oinverse(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 Following clause subsumed by 365 during input processing: 0 [] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 Following clause subsumed by 363 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=9): 366 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=9): 367 [] -class_Ring__and__Field_Osgn__if(A)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=9): 368 [] -class_RealVector_Oreal__normed__vector(A)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=9): 369 [] -class_Ring__and__Field_Osemiring__1(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_Int_Oiszero(B,A).
% 150.35/150.49 ** KEPT (pick-wt=10): 370 [] -class_Ring__and__Field_Oring__no__zero__divisors(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=10): 371 [] -class_Ring__and__Field_Oring__no__zero__divisors(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=10): 372 [] -class_Ring__and__Field_Omult__zero(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=10): 373 [] -class_Ring__and__Field_Omult__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=10): 374 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=10): 375 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 Following clause subsumed by 375 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=10): 376 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 Following clause subsumed by 376 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=10): 377 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 Following clause subsumed by 374 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=7): 378 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Ozero__class_Ozero(A),A).
% 150.35/150.49 ** KEPT (pick-wt=9): 379 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=9): 380 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 150.35/150.49 ** KEPT (pick-wt=17): 381 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Opoly(c_Polynomial_Opcompose(B,C,A),D,A)=c_Polynomial_Opoly(B,c_Polynomial_Opoly(C,D,A),A).
% 150.35/150.49 ** KEPT (pick-wt=7): 382 [] -class_Ring__and__Field_Ozero__ne_q__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 150.35/150.49 ** KEPT (pick-wt=13): 383 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(B,A),A)=B|B=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=11): 384 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(A),B,A).
% 150.35/150.49 Following clause subsumed by 355 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=11): 385 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=11): 386 [] -class_Ring__and__Field_Oidom(A)|c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=11): 387 [] -class_OrderedGroup_Oordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=B|B=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=9): 388 [] -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 Following clause subsumed by 388 during input processing: 0 [] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=20): 389 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Oinverse__class_Oinverse(B,A)!=c_HOL_Oinverse__class_Oinverse(C,A)|B=C|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=9): 390 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=13): 391 [] -class_Ring__and__Field_Oring__1__no__zero__divisors(A)|c_Power_Opower__class_Opower(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=19): 392 [] -class_Ring__and__Field_Ozero__ne_q__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=16): 393 [] -class_Ring__and__Field_Oidom(A)|c_Polynomial_Opoly(B,C,A)=c_HOL_Ozero__class_Ozero(A)|c_Polynomial_Oorder(C,B,A)=c_HOL_Ozero__class_Ozero(tc_nat).
% 150.35/150.49 ** KEPT (pick-wt=12): 394 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 Following clause subsumed by 382 during input processing: 0 [flip.2] -class_Ring__and__Field_Ozero__ne_q__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 150.35/150.49 ** KEPT (pick-wt=17): 395 [] -class_Ring__and__Field_Oring__no__zero__divisors(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=17): 396 [] -class_Ring__and__Field_Ono__zero__divisors(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 Following clause subsumed by 396 during input processing: 0 [] -class_Ring__and__Field_Ono__zero__divisors(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=10): 397 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=10): 398 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=13): 399 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oplus__class_Oplus(B,B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=9): 400 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=9): 401 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=9): 402 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 150.35/150.49 Following clause subsumed by 401 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=11): 403 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=14): 405 [copy,404,flip.3] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=B|C=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=9): 406 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=10): 407 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=11): 408 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=9): 409 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=12): 410 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Ouminus__class_Ouminus(B,A)|c_HOL_Ozero__class_Ozero(A)=B.
% 150.35/150.49 ** KEPT (pick-wt=10): 411 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=10): 412 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=12): 413 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 150.35/150.49 ** KEPT (pick-wt=12): 414 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 150.35/150.49 ** KEPT (pick-wt=14): 415 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 150.35/150.49 ** KEPT (pick-wt=10): 416 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 Following clause subsumed by 355 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 Following clause subsumed by 355 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=10): 417 [] -class_RealVector_Oreal__normed__field(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=12): 419 [copy,418,flip.1] c_Polynomial_OpCons(A,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)!=v_p|A=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 150.35/150.49 ** KEPT (pick-wt=12): 420 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Osgn__class_Osgn(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=12): 421 [] -class_RealVector_Oreal__normed__vector(A)|c_HOL_Osgn__class_Osgn(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=18): 422 [] -class_Ring__and__Field_Oidom(t_a)|v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2(A)!=c_HOL_Ozero__class_Ozero(t_a)|c_Polynomial_Opoly(A,B,t_a)=c_HOL_Ozero__class_Ozero(t_a)|B=c_HOL_Ozero__class_Ozero(t_a).
% 150.35/150.49 ** KEPT (pick-wt=10): 423 [] -class_SEQ_Obanach(A)| -class_RealVector_Oreal__normed__field(A)|c_Transcendental_Oexp(B,A)!=c_HOL_Ozero__class_Ozero(A).
% 150.35/150.49 ** KEPT (pick-wt=9): 424 [] -class_OrderedGroup_Omonoid__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 150.35/150.49 ** KEPT (pick-wt=9): 425 [] -class_OrderedGroup_Omonoid__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 150.35/150.49 ** KEPT (pick-wt=9): 426 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 150.35/150.49 ** KEPT (pick-wt=11): 428 [copy,427,flip.3] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 150.35/150.49 ** KEPT (pick-wt=9): 429 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 150.35/150.49 ** KEPT (pick-wt=9): 430 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 150.35/150.49 ** KEPT (pick-wt=9): 431 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 150.35/150.49 Following clause subsumed by 429 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 150.35/150.50 Following clause subsumed by 419 during input processing: 0 [flip.1] c_Polynomial_OpCons(A,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)!=v_p|A=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 150.35/150.50 ** KEPT (pick-wt=7): 432 [] c_Polynomial_Opoly(v_p,A,tc_Complex_Ocomplex)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 150.35/150.50 ** KEPT (pick-wt=5): 433 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocancel__comm__monoid__add(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 434 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oidom(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 435 [] class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 436 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oidom(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 437 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocancel__comm__monoid__add(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 438 [] class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 439 [] class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 440 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocancel__comm__monoid__add(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 441 [] class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oidom(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 442 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__1(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 443 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__0(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 444 [] class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__0(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 445 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__1(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 446 [] class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocomm__monoid__add(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 447 [] class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__0(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 448 [] class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocomm__monoid__add(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 449 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__1(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 450 [] class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 451 [] class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__ring__1(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 452 [] class_Ring__and__Field_Osemiring__1(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__1(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 453 [] class_Ring__and__Field_Osemiring__0(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__0(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 454 [] class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Oab__group__add(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 455 [] class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__0(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 456 [] class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__ring(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 457 [] class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__1(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 458 [] class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__0(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 459 [] class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocomm__monoid__add(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 460 [] class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Oab__group__add(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 461 [] class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 462 [] class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__ring__1(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 463 [] class_Divides_Osemiring__div(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ofield(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 464 [] class_Ring__and__Field_Oring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__ring(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 465 [] class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oidom(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 466 [] class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__1(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 467 [] class_Divides_Oring__div(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ofield(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 468 [] class_Int_Onumber__ring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__ring__1(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 469 [] class_Power_Opower(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__1(A).
% 150.35/150.50 ** KEPT (pick-wt=5): 470 [] class_HOL_Ozero(tc_Polynomial_Opoly(A))| -class_HOL_Ozero(A).
% 150.35/150.50 77 back subsumes 28.
% 150.35/150.50 78 back subsumes 27.
% 150.35/150.50 162 back subsumes 87.
% 150.35/150.50 ** KEPT (pick-wt=7): 504 [copy,432,flip.1] c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)!=c_Polynomial_Opoly(v_p,A,tc_Complex_Ocomplex).
% 150.35/150.50 Following clause subsumed by 432 during input processing: 0 [copy,504,flip.1] c_Polynomial_Opoly(v_p,A,tc_Complex_Ocomplex)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 150.35/150.50
% 150.35/150.50 ------------> process sos:
% 150.35/150.50 ** KEPT (pick-wt=3): 505 [] A=A.
% 150.35/150.50 ** KEPT (pick-wt=5): 506 [] c_Complex_Ocnj(c_Complex_Ocnj(A))=A.
% 150.35/150.50 ---> New Demodulator: 507 [new_demod,506] c_Complex_Ocnj(c_Complex_Ocnj(A))=A.
% 150.35/150.50 ** KEPT (pick-wt=6): 508 [] c_Complex_Ocnj(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 150.35/150.50 ---> New Demodulator: 509 [new_demod,508] c_Complex_Ocnj(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 150.35/150.50 ** KEPT (pick-wt=2): 510 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex).
% 150.35/150.50 ** KEPT (pick-wt=2): 511 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 512 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 513 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 514 [] class_OrderedGroup_Ocancel__semigroup__add(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 515 [] class_Ring__and__Field_Ono__zero__divisors(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 516 [] class_Ring__and__Field_Ocomm__semiring__1(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 517 [] class_Ring__and__Field_Ocomm__semiring__0(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 518 [] class_OrderedGroup_Oab__semigroup__mult(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 519 [] class_OrderedGroup_Ocomm__monoid__mult(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 520 [] class_OrderedGroup_Oab__semigroup__add(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 521 [] class_Ring__and__Field_Ocomm__semiring(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 522 [] class_OrderedGroup_Ocomm__monoid__add(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 523 [] class_Ring__and__Field_Ozero__ne_q__one(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 524 [] class_Ring__and__Field_Osemiring__1(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 525 [] class_Ring__and__Field_Osemiring__0(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 526 [] class_Ring__and__Field_Omult__zero(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 527 [] class_OrderedGroup_Omonoid__mult(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 528 [] class_Ring__and__Field_Osemiring(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 529 [] class_OrderedGroup_Omonoid__add(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 530 [] class_Divides_Osemiring__div(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 531 [] class_Ring__and__Field_Odvd(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 532 [] class_Power_Opower(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 533 [] class_HOL_Ozero(tc_nat).
% 150.35/150.50 ** KEPT (pick-wt=2): 534 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 535 [] class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 536 [] class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 537 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 538 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 539 [] class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 540 [] class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 541 [] class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 542 [] class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 543 [] class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 544 [] class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 545 [] class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 546 [] class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 547 [] class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 548 [] class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 549 [] class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 550 [] class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 551 [] class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 552 [] class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 553 [] class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 554 [] class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 555 [] class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 556 [] class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 557 [] class_RealVector_Oreal__normed__field(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 558 [] class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 559 [] class_Ring__and__Field_Ozero__ne_q__one(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 560 [] class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 561 [] class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 562 [] class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 563 [] class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 564 [] class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 565 [] class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 566 [] class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 567 [] class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 568 [] class_Ring__and__Field_Osemiring(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 569 [] class_RealVector_Oreal__algebra(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 570 [] class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 571 [] class_RealVector_Oreal__vector(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 572 [] class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 573 [] class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 574 [] class_Ring__and__Field_Oring__1(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 575 [] class_RealVector_Oreal__field(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 576 [] class_Ring__and__Field_Ofield(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 577 [] class_Ring__and__Field_Oring(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 578 [] class_Ring__and__Field_Oidom(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 579 [] class_Ring__and__Field_Odvd(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 580 [] class_Int_Onumber__ring(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 581 [] class_Power_Opower(tc_RealDef_Oreal).
% 150.35/150.50 ** KEPT (pick-wt=2): 582 [] class_SEQ_Obanach(tc_RealDef_Oreal).
% 150.47/150.63 ** KEPT (pick-wt=2): 583 [] class_HOL_Ozero(tc_RealDef_Oreal).
% 150.47/150.63 ** KEPT (pick-wt=2): 584 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 585 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 586 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 587 [] class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 588 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 589 [] class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 590 [] class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 591 [] class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 592 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 593 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 594 [] class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 595 [] class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 596 [] class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 597 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 598 [] class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 599 [] class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 600 [] class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 601 [] class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 602 [] class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 603 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 604 [] class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 605 [] class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 606 [] class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 607 [] class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 608 [] class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 609 [] class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 610 [] class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 611 [] class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 612 [] class_RealVector_Oreal__algebra(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 613 [] class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 614 [] class_RealVector_Oreal__vector(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 615 [] class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 616 [] class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 617 [] class_RealVector_Oreal__field(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 618 [] class_Ring__and__Field_Ofield(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 619 [] class_Ring__and__Field_Oring(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 620 [] class_Ring__and__Field_Oidom(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 621 [] class_Ring__and__Field_Odvd(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 622 [] class_Int_Onumber__ring(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 623 [] class_Power_Opower(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 624 [] class_SEQ_Obanach(tc_Complex_Ocomplex).
% 150.47/150.63 ** KEPT (pick-wt=2): 625 [] class_HOL_Ozero(tc_Complex_Ocomplex).
% 150.47/150.63 Following clause subsumed by 505 during input processing: 0 [copy,505,flip.1] A=A.
% 150.47/150.63 505 back subsumes 501.
% 150.47/150.63 505 back subsumes 500.
% 150.47/150.63 505 back subsumes 499.
% 150.47/150.63 505 back subsumes 475.
% 150.47/150.63 >>>> Starting back demodulation with 507.
% 150.47/150.63 >>>> Starting back demodulation with 509.
% 150.47/150.63
% 150.47/150.63 ======= end of input processing =======
% 150.47/150.63
% 150.47/150.63 =========== start of search ===========
% 150.47/150.63
% 150.47/150.63
% 150.47/150.63 Resetting weight limit to 2.
% 150.47/150.63
% 150.47/150.63
% 150.47/150.63 Resetting weight limit to 2.
% 150.47/150.63
% 150.47/150.63 sos_size=118
% 150.47/150.63
% 150.47/150.63 Search stopped because sos empty.
% 150.47/150.63
% 150.47/150.63
% 150.47/150.63 Search stopped because sos empty.
% 150.47/150.63
% 150.47/150.63 ============ end of search ============
% 150.47/150.63
% 150.47/150.63 -------------- statistics -------------
% 150.47/150.63 clauses given 119
% 150.47/150.63 clauses generated 15473
% 150.47/150.63 clauses kept 558
% 150.47/150.63 clauses forward subsumed 63
% 150.47/150.63 clauses back subsumed 7
% 150.47/150.63 Kbytes malloced 10742
% 150.47/150.63
% 150.47/150.63 ----------- times (seconds) -----------
% 150.47/150.63 user CPU time 0.19 (0 hr, 0 min, 0 sec)
% 150.47/150.63 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 150.47/150.63 wall-clock time 150 (0 hr, 2 min, 30 sec)
% 150.47/150.63
% 150.47/150.63 Process 5061 finished Wed Jul 27 03:54:46 2022
% 150.47/150.63 Otter interrupted
% 150.47/150.63 PROOF NOT FOUND
%------------------------------------------------------------------------------