TSTP Solution File: ALG370-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : ALG370-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n012.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 12:46:35 EDT 2022
% Result : Unknown 173.83s 173.92s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG370-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n012.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 03:51:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 173.44/173.49 ----- Otter 3.3f, August 2004 -----
% 173.44/173.49 The process was started by sandbox2 on n012.cluster.edu,
% 173.44/173.49 Wed Jul 27 03:51:51 2022
% 173.44/173.49 The command was "./otter". The process ID is 13731.
% 173.44/173.49
% 173.44/173.49 set(prolog_style_variables).
% 173.44/173.49 set(auto).
% 173.44/173.49 dependent: set(auto1).
% 173.44/173.49 dependent: set(process_input).
% 173.44/173.49 dependent: clear(print_kept).
% 173.44/173.49 dependent: clear(print_new_demod).
% 173.44/173.49 dependent: clear(print_back_demod).
% 173.44/173.49 dependent: clear(print_back_sub).
% 173.44/173.49 dependent: set(control_memory).
% 173.44/173.49 dependent: assign(max_mem, 12000).
% 173.44/173.49 dependent: assign(pick_given_ratio, 4).
% 173.44/173.49 dependent: assign(stats_level, 1).
% 173.44/173.49 dependent: assign(max_seconds, 10800).
% 173.44/173.49 clear(print_given).
% 173.44/173.49
% 173.44/173.49 list(usable).
% 173.44/173.49 0 [] A=A.
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a).
% 173.44/173.49 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 173.44/173.49 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)| -c_HOL_Oord__class_Oless(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a).
% 173.44/173.49 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|V_a=V_b| -c_lesse_quals(V_b,V_a,T_a).
% 173.44/173.49 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_lesse_quals(V_b,V_a,T_a)|V_a=V_b.
% 173.44/173.49 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 173.44/173.49 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 173.44/173.49 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a)|V_a=V_b.
% 173.44/173.49 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)|V_a=V_b| -c_lesse_quals(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 173.44/173.49 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 173.44/173.49 0 [] -class_Orderings_Opreorder(T_a)| -c_lesse_quals(V_y,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 173.44/173.49 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_lesse_quals(V_y,V_x,T_a).
% 173.44/173.49 0 [] -class_Orderings_Olinorder(T_a)| -c_lesse_quals(V_x,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 173.44/173.49 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 173.44/173.49 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 173.44/173.49 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)| -c_HOL_Oord__class_Oless(V_c,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)| -c_lesse_quals(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 173.44/173.49 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.
% 173.44/173.49 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.
% 173.44/173.49 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.
% 173.44/173.49 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.
% 173.44/173.49 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).
% 173.44/173.49 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.
% 173.44/173.49 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.
% 173.44/173.49 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.
% 173.44/173.49 0 [] -class_RealVector_Ometric__space(T_a)|V_x=V_y| -c_lesse_quals(c_RealVector_Odist__class_Odist(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_HOL_Otimes__class_Otimes(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a))=c_Polynomial_Osmult(V_a,c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_HOL_Otimes__class_Otimes(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a))=c_Polynomial_Osmult(V_a,c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(V_a,T_a)=V_a| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_RealVector_Ometric__space(T_a)|c_RealVector_Odist__class_Odist(V_x,V_y,T_a)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|V_x=V_y.
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Int_Oring__char__0(T_a)| -class_Int_Onumber__ring(T_a)|c_Int_Onumber__class_Onumber__of(V_x,T_a)!=c_Int_Onumber__class_Onumber__of(V_y,T_a)|V_x=V_y.
% 173.44/173.49 0 [] -class_Ring__and__Field_Osemiring(T_a)| -class_Int_Onumber(T_a)|c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_b,T_a),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_c,T_a),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,V_c,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),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).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a).
% 173.44/173.49 0 [] -class_RealVector_Oreal__normed__vector(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a)| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Olordered__ring(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a).
% 173.44/173.49 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_RealVector_Oreal__algebra__1(T_a)|c_RealVector_Oof__real(V_x,T_a)!=c_RealVector_Oof__real(V_y,T_a)|V_x=V_y.
% 173.44/173.49 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Onorm__class_Onorm(V_x,T_a)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_lesse_quals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)| -c_lesse_quals(V_b,V_c,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_lesse_quals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)| -c_lesse_quals(V_b,V_a,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 173.44/173.49 0 [] -class_RealVector_Ometric__space(T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(V_x,V_x,T_a),tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_x,V_y,T_a)!=c_HOL_Ozero__class_Ozero(T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_x,V_y,T_a)!=c_HOL_Ozero__class_Ozero(T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] c_HOL_Oord__class_Oless(v_da____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.49 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).
% 173.44/173.49 0 [] -class_RealVector_Ometric__space(T_a)|c_RealVector_Odist__class_Odist(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Oreal__algebra__1(T_a)|c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 173.44/173.49 0 [] -class_RealVector_Oreal__algebra__1(T_a)|c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_RealVector_Ometric__space(T_a)|c_lesse_quals(c_RealVector_Odist__class_Odist(V_x,V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Olordered__ab__group__add__abs(T_a)|c_lesse_quals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a).
% 173.44/173.49 0 [] V_z=V_w| -c_lesse_quals(V_w,V_z,tc_RealDef_Oreal)| -c_lesse_quals(V_z,V_w,tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 173.44/173.49 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 173.44/173.49 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(V_a,T_a)=V_a| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__ring__abs(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)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__ring__abs(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)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__ring__abs(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)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__ring__abs(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)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_RealVector_Ometric__space(T_a)| -c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),T_a).
% 173.44/173.49 0 [] -class_RealVector_Ometric__space(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(V_x,V_y,T_a),tc_RealDef_Oreal)|V_x=V_y.
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)|c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Omult__mono1(T_a)|c_lesse_quals(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_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Omult__mono(T_a)|c_lesse_quals(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_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Omult__mono(T_a)|c_lesse_quals(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_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(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_lesse_quals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_b,V_a,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(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_lesse_quals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_b,V_a,T_a).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_x,T_a)|c_lesse_quals(V_x,V_x,T_a).
% 173.44/173.49 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 173.44/173.49 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 173.44/173.49 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 173.44/173.49 0 [] -class_Orderings_Olinorder(T_a)| -c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(V_c,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semiring(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semiring(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(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_lesse_quals(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(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_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(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_lesse_quals(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(V_b,V_a,T_a)| -c_lesse_quals(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_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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.
% 173.44/173.49 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.
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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.
% 173.44/173.49 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.
% 173.44/173.49 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.
% 173.44/173.49 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.
% 173.44/173.49 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.
% 173.44/173.49 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.
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Osmult(V_a,c_Polynomial_Osmult(V_b,V_p,T_a),T_a)=c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_p,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a)| -c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)| -c_lesse_quals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a).
% 173.44/173.49 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).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y_H,V_x_H,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_y_H,V_x_H,T_a).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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.
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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.
% 173.44/173.49 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.
% 173.44/173.49 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.
% 173.44/173.49 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.
% 173.44/173.49 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).
% 173.44/173.49 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.
% 173.44/173.49 0 [] c_lesse_quals(V_x,V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal).
% 173.44/173.49 0 [] c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)|V_x=V_y| -c_lesse_quals(V_x,V_y,tc_RealDef_Oreal).
% 173.44/173.49 0 [] c_lesse_quals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(V_x,V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal).
% 173.44/173.49 0 [] c_lesse_quals(V_x,V_y,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal).
% 173.44/173.49 0 [] c_lesse_quals(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(V_x,V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal).
% 173.44/173.49 0 [] c_lesse_quals(V_x,V_y,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 173.44/173.49 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),tc_RealDef_Oreal).
% 173.44/173.49 0 [] c_HOL_Otimes__class_Otimes(V_a,V_c,tc_RealDef_Oreal)!=c_HOL_Otimes__class_Otimes(V_b,V_c,tc_RealDef_Oreal)|V_c=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|V_a=V_b.
% 173.44/173.49 0 [] c_HOL_Otimes__class_Otimes(V_c,V_a,tc_RealDef_Oreal)!=c_HOL_Otimes__class_Otimes(V_c,V_b,tc_RealDef_Oreal)|V_c=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|V_a=V_b.
% 173.44/173.49 0 [] c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal)=V_z.
% 173.44/173.49 0 [] c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_RealVector_Ometric__space(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(V_x,V_y,T_a),tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_RealVector_Oreal__algebra__1(T_a)|c_RealVector_Oof__real(V_x,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_x=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__cancel__semiring(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_da____,tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 173.44/173.49 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_da____,tc_RealDef_Oreal).
% 173.44/173.49 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).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__semiring(T_a)|c_lesse_quals(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_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(V_c,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__semiring(T_a)|c_lesse_quals(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_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(V_c,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Polynomial_Osmult(c_HOL_Oone__class_Oone(T_a),V_p,T_a)=V_p.
% 173.44/173.49 0 [] -class_RealVector_Oreal__algebra__1(T_a)|c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),T_a)=c_HOL_Oone__class_Oone(T_a).
% 173.44/173.49 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).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a)| -c_lesse_quals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a)| -c_lesse_quals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a).
% 173.44/173.49 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.
% 173.44/173.49 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.
% 173.44/173.49 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.
% 173.44/173.49 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.
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__cancel__semiring(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__cancel__semiring(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__cancel__semiring(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__cancel__semiring(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__cancel__semiring(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_RealVector_Oreal__normed__algebra__1(T_a)|c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(T_a),T_a)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 173.44/173.49 0 [] c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)!=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 173.44/173.49 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).
% 173.44/173.49 0 [] -class_RealVector_Ometric__space(T_a)|c_RealVector_Odist__class_Odist(V_x,V_y,T_a)=c_RealVector_Odist__class_Odist(V_y,V_x,T_a).
% 173.44/173.49 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.
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add(T_a)|c_lesse_quals(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_lesse_quals(V_c,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),T_a),T_a),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)| -c_lesse_quals(V_b,V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 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).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 173.44/173.49 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).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Ocomm__ring(T_a)|c_Polynomial_Osmult(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_p,T_a)=c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_Osmult(V_b,V_p,T_a),tc_Polynomial_Opoly(T_a)).
% 173.44/173.49 0 [] -class_Ring__and__Field_Ocomm__ring(T_a)|c_Polynomial_Osmult(V_a,c_HOL_Ominus__class_Ominus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a)=c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 0 [] -class_Ring__and__Field_Osemiring(T_a)| -class_Int_Onumber(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_y,T_a),V_x,T_a)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__idom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(V_x,T_a),T_a)=c_Int_Onumber__class_Onumber__of(V_x,T_a)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_x,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)| -c_lesse_quals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a).
% 173.44/173.49 0 [] -class_Orderings_Olinorder(T_a)| -class_Int_Onumber(T_a)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a)| -c_lesse_quals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a).
% 173.44/173.49 0 [] -class_Orderings_Olinorder(T_a)| -class_Int_Onumber(T_a)|c_lesse_quals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Orderings_Olinorder(T_a)| -class_OrderedGroup_Olordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(V_a,T_a)=V_a|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oabs__if(T_a)|c_HOL_Oabs__class_Oabs(V_a,T_a)=V_a|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),T_a).
% 173.44/173.49 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 173.44/173.49 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 173.44/173.49 0 [] c_lesse_quals(V_i,V_k,tc_RealDef_Oreal)| -c_lesse_quals(V_j,V_k,tc_RealDef_Oreal)| -c_lesse_quals(V_i,V_j,tc_RealDef_Oreal).
% 173.44/173.49 0 [] c_lesse_quals(V_w,V_w,tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)| -c_lesse_quals(V_c,V_d,T_a)| -c_lesse_quals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 173.44/173.49 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 173.44/173.49 0 [] -class_RealVector_Oreal__normed__vector(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a)| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Otimes__class_Otimes(V_c,c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(V_c,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.49 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).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a).
% 173.44/173.49 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 173.44/173.49 0 [] c_lesse_quals(V_w,V_z,tc_RealDef_Oreal)|c_lesse_quals(V_z,V_w,tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_m,V_n,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a).
% 173.44/173.49 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).
% 173.44/173.49 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.
% 173.44/173.49 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).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oring(T_a)| -class_Int_Onumber(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oring(T_a)| -class_Int_Onumber(T_a)|c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_HOL_Ominus__class_Ominus(V_b,V_c,T_a),T_a)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_b,T_a),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_c,T_a),T_a).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 0 [] -class_RealVector_Oreal__algebra__1(T_a)|c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal),T_a)=c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(V_x,T_a),c_RealVector_Oof__real(V_y,T_a),T_a).
% 173.44/173.49 0 [] V_x=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.49 0 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.49 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal).
% 173.44/173.49 0 [] c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal).
% 173.44/173.49 0 [] c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal).
% 173.44/173.49 0 [] c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_RealVector_Odist__norm(T_a)|c_RealVector_Odist__class_Odist(V_x,V_y,T_a)=c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a).
% 173.44/173.49 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_x,T_a)=c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(V_p,V_x,T_a),c_Polynomial_Opoly(V_q,V_x,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Opoly(c_Polynomial_Osmult(V_a,V_p,T_a),V_x,T_a)=c_HOL_Otimes__class_Otimes(V_a,c_Polynomial_Opoly(V_p,V_x,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Ocomm__ring(T_a)|c_Polynomial_Opoly(c_HOL_Ominus__class_Ominus(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_x,T_a)=c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(V_p,V_x,T_a),c_Polynomial_Opoly(V_q,V_x,T_a),T_a).
% 173.44/173.49 0 [] c_RealVector_Odist__class_Odist(V_x,V_y,tc_Complex_Ocomplex)=c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_Complex_Ocomplex),tc_Complex_Ocomplex).
% 173.44/173.49 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_e,tc_RealDef_Oreal).
% 173.44/173.49 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__local__XpCons__Xhyps__1(v_cs____,v_e,v_z),tc_RealDef_Oreal).
% 173.44/173.49 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__local__XpCons__1(v_cs____,v_e,v_z),tc_RealDef_Oreal).
% 173.44/173.49 0 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.49 0 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_da____,tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a).
% 173.44/173.49 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.49 0 [] c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(V_w,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_z,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_w,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__local__XpCons__1(v_cs____,v_e,v_z),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_w,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 173.44/173.49 0 [] c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(V_w,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_z,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_w,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__local__XpCons__Xhyps__1(v_cs____,v_e,v_z),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_w,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 173.44/173.49 0 [] c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_da____,tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 173.44/173.49 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 173.44/173.49 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 173.44/173.49 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 173.44/173.49 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 173.44/173.49 0 [] -c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 173.44/173.49 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 173.44/173.49 0 [] -class_RealVector_Oreal__normed__div__algebra(T_a)|c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a).
% 173.44/173.49 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).
% 173.44/173.49 0 [] c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_z1,V_z2,tc_RealDef_Oreal),V_z3,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(V_z1,c_HOL_Otimes__class_Otimes(V_z2,V_z3,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_r,V_s,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a).
% 173.44/173.49 0 [] -class_OrderedGroup_Oab__semigroup__idem__mult(T_a)|c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)=V_x.
% 173.44/173.49 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).
% 173.44/173.49 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y.
% 173.44/173.49 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 173.44/173.49 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 173.44/173.49 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 173.44/173.49 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y.
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 0 [] v_w____!=v_z.
% 173.44/173.49 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).
% 173.44/173.49 0 [] c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal).
% 173.44/173.49 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).
% 173.44/173.49 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 173.44/173.49 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 173.44/173.49 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.
% 173.44/173.49 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.
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 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).
% 173.44/173.49 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a)=c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a).
% 173.44/173.49 0 [] c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),v_e,tc_RealDef_Oreal).
% 173.44/173.49 0 [] c_lesse_quals(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.49 0 [] -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),v_e,tc_RealDef_Oreal).
% 173.44/173.49 0 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocancel__comm__monoid__add(T_1).
% 173.44/173.49 0 [] class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__ring__1(T_1).
% 173.44/173.49 0 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex).
% 173.44/173.49 0 [] class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex).
% 173.44/173.49 0 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal).
% 173.44/173.49 0 [] class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal).
% 173.44/173.49 0 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_Int_Oint).
% 173.44/173.49 0 [] class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint).
% 173.44/173.49 0 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint).
% 173.44/173.49 0 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint).
% 173.44/173.49 0 [] class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint).
% 173.44/173.49 0 [] class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint).
% 173.44/173.49 0 [] class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint).
% 173.44/173.49 0 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint).
% 173.44/173.49 0 [] class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint).
% 173.44/173.49 0 [] class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint).
% 173.44/173.49 0 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint).
% 173.44/173.49 0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint).
% 173.44/173.50 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint).
% 173.44/173.50 0 [] class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint).
% 173.44/173.50 0 [] class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint).
% 173.44/173.50 0 [] class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint).
% 173.44/173.50 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint).
% 173.44/173.50 0 [] class_Ring__and__Field_Opordered__semiring(tc_Int_Oint).
% 173.44/173.50 0 [] class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint).
% 173.44/173.50 0 [] class_Ring__and__Field_Oordered__semiring(tc_Int_Oint).
% 173.44/173.50 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint).
% 173.44/173.50 0 [] class_Ring__and__Field_Oordered__semidom(tc_Int_Oint).
% 173.44/173.50 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint).
% 173.44/173.50 0 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Int_Oint).
% 173.44/173.50 0 [] class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint).
% 173.44/173.50 0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint).
% 173.44/173.50 0 [] class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint).
% 173.44/173.50 0 [] class_Ring__and__Field_Opordered__ring(tc_Int_Oint).
% 173.44/173.50 0 [] class_Ring__and__Field_Olordered__ring(tc_Int_Oint).
% 173.44/173.50 0 [] class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint).
% 173.44/173.50 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint).
% 173.44/173.50 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Int_Oint).
% 173.44/173.50 0 [] class_Ring__and__Field_Oordered__idom(tc_Int_Oint).
% 173.44/173.50 0 [] class_Ring__and__Field_Omult__mono1(tc_Int_Oint).
% 173.44/173.50 0 [] class_OrderedGroup_Oab__group__add(tc_Int_Oint).
% 173.44/173.50 0 [] class_Ring__and__Field_Omult__zero(tc_Int_Oint).
% 173.44/173.50 0 [] class_Ring__and__Field_Omult__mono(tc_Int_Oint).
% 173.44/173.50 0 [] class_Ring__and__Field_Ocomm__ring(tc_Int_Oint).
% 173.44/173.50 0 [] class_OrderedGroup_Omonoid__mult(tc_Int_Oint).
% 173.44/173.50 0 [] class_Ring__and__Field_Osemiring(tc_Int_Oint).
% 173.44/173.50 0 [] class_OrderedGroup_Omonoid__add(tc_Int_Oint).
% 173.44/173.50 0 [] class_OrderedGroup_Ogroup__add(tc_Int_Oint).
% 173.44/173.50 0 [] class_Ring__and__Field_Oabs__if(tc_Int_Oint).
% 173.44/173.50 0 [] class_Ring__and__Field_Oring(tc_Int_Oint).
% 173.44/173.50 0 [] class_Ring__and__Field_Oidom(tc_Int_Oint).
% 173.44/173.50 0 [] class_Orderings_Opreorder(tc_Int_Oint).
% 173.44/173.50 0 [] class_Orderings_Olinorder(tc_Int_Oint).
% 173.44/173.50 0 [] class_Orderings_Oorder(tc_Int_Oint).
% 173.44/173.50 0 [] class_Int_Oring__char__0(tc_Int_Oint).
% 173.44/173.50 0 [] class_Int_Onumber__ring(tc_Int_Oint).
% 173.44/173.50 0 [] class_Int_Onumber(tc_Int_Oint).
% 173.44/173.50 0 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Osemiring(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_RealVector_Ometric__space(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_RealVector_Odist__norm(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Oring(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Oidom(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Orderings_Opreorder(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Orderings_Olinorder(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Orderings_Oorder(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Int_Oring__char__0(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Int_Onumber__ring(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Int_Onumber(tc_RealDef_Oreal).
% 173.44/173.50 0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_RealVector_Ometric__space(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_RealVector_Odist__norm(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_Ring__and__Field_Oring(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_Ring__and__Field_Oidom(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_Int_Oring__char__0(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_Int_Onumber__ring(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_Int_Onumber(tc_Complex_Ocomplex).
% 173.44/173.50 0 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oidom(T_1).
% 173.44/173.50 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocancel__comm__monoid__add(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocancel__comm__monoid__add(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oidom(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 173.44/173.50 0 [] class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 173.44/173.50 0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 173.44/173.50 0 [] class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocomm__monoid__add(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 173.44/173.50 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocomm__monoid__add(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Oab__group__add(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__ring(T_1).
% 173.44/173.50 0 [] class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 173.44/173.50 0 [] class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocomm__monoid__add(T_1).
% 173.44/173.50 0 [] class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Oab__group__add(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Oring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__ring(T_1).
% 173.44/173.50 0 [] class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oidom(T_1).
% 173.44/173.50 0 [] class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_Orderings_Oorder(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_Int_Oring__char__0(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 173.44/173.50 0 [] class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__ring__1(T_1).
% 173.44/173.50 0 [] class_Int_Onumber(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__ring__1(T_1).
% 173.44/173.50 end_of_list.
% 173.44/173.50
% 173.44/173.50 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 173.44/173.50
% 173.44/173.50 This ia a non-Horn set with equality. The strategy will be
% 173.44/173.50 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 173.44/173.50 deletion, with positive clauses in sos and nonpositive
% 173.44/173.50 clauses in usable.
% 173.44/173.50
% 173.44/173.50 dependent: set(knuth_bendix).
% 173.44/173.50 dependent: set(anl_eq).
% 173.44/173.50 dependent: set(para_from).
% 173.44/173.50 dependent: set(para_into).
% 173.44/173.50 dependent: clear(para_from_right).
% 173.44/173.50 dependent: clear(para_into_right).
% 173.44/173.50 dependent: set(para_from_vars).
% 173.44/173.50 dependent: set(eq_units_both_ways).
% 173.44/173.50 dependent: set(dynamic_demod_all).
% 173.44/173.50 dependent: set(dynamic_demod).
% 173.44/173.50 dependent: set(order_eq).
% 173.44/173.50 dependent: set(back_demod).
% 173.44/173.50 dependent: set(lrpo).
% 173.44/173.50 dependent: set(hyper_res).
% 173.44/173.50 dependent: set(unit_deletion).
% 173.44/173.50 dependent: set(factor).
% 173.44/173.50
% 173.44/173.50 ------------> process usable:
% 173.44/173.50 ** KEPT (pick-wt=16): 1 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 173.44/173.50 ** KEPT (pick-wt=16): 2 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,D,A),c_HOL_Oplus__class_Oplus(C,D,A),A).
% 173.44/173.50 ** KEPT (pick-wt=16): 3 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)| -c_HOL_Oord__class_Oless(C,D,A).
% 173.44/173.50 ** KEPT (pick-wt=16): 4 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)| -c_HOL_Oord__class_Oless(C,D,A).
% 173.44/173.50 ** KEPT (pick-wt=16): 5 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(D,B,A),c_HOL_Oplus__class_Oplus(D,C,A),A).
% 173.44/173.50 ** KEPT (pick-wt=10): 6 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 173.44/173.50 ** KEPT (pick-wt=10): 7 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 173.44/173.50 ** KEPT (pick-wt=20): 8 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A)| -c_HOL_Oord__class_Oless(C,E,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 173.44/173.50 ** KEPT (pick-wt=14): 9 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 173.44/173.50 ** KEPT (pick-wt=12): 10 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(B,A),C,A).
% 173.44/173.50 ** KEPT (pick-wt=13): 11 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B| -c_lesse_quals(B,C,A).
% 173.44/173.50 Following clause subsumed by 11 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|C=B.
% 173.44/173.50 ** KEPT (pick-wt=13): 12 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 173.44/173.50 Following clause subsumed by 12 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C| -c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(B,C,A).
% 173.44/173.50 ** KEPT (pick-wt=13): 13 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|B=C.
% 173.44/173.50 Following clause subsumed by 13 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 173.44/173.50 Following clause subsumed by 13 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 173.44/173.50 Following clause subsumed by 13 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 173.44/173.50 ** KEPT (pick-wt=10): 14 [] -class_Orderings_Opreorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 173.44/173.50 ** KEPT (pick-wt=10): 15 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 173.44/173.50 ** KEPT (pick-wt=10): 16 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,B,A)| -c_HOL_Oord__class_Oless(B,B,A).
% 173.44/173.50 ** KEPT (pick-wt=16): 17 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 173.44/173.50 ** KEPT (pick-wt=14): 18 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_lesse_quals(B,D,A).
% 173.44/173.50 ** KEPT (pick-wt=14): 19 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(D,C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 173.44/173.50 ** KEPT (pick-wt=14): 20 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_lesse_quals(D,C,A).
% 173.44/173.50 ** KEPT (pick-wt=14): 21 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,D,A)| -c_HOL_Oord__class_Oless(D,C,A).
% 173.44/173.50 ** KEPT (pick-wt=20): 22 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A)| -c_HOL_Oord__class_Oless(C,E,A)| -c_lesse_quals(B,D,A).
% 173.44/173.50 ** KEPT (pick-wt=20): 23 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A)| -c_lesse_quals(C,E,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 173.44/173.50 ** KEPT (pick-wt=9): 24 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 173.44/173.50 ** KEPT (pick-wt=9): 25 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 173.44/173.50 ** KEPT (pick-wt=9): 26 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 173.44/173.50 Following clause subsumed by 24 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.
% 173.44/173.50 ** KEPT (pick-wt=11): 28 [copy,27,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.
% 173.44/173.50 ** KEPT (pick-wt=9): 29 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 173.44/173.50 ** KEPT (pick-wt=9): 30 [] -class_OrderedGroup_Omonoid__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 173.44/173.50 ** KEPT (pick-wt=9): 31 [] -class_OrderedGroup_Omonoid__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 173.44/173.50 ** KEPT (pick-wt=13): 32 [] -class_RealVector_Ometric__space(A)|B=C| -c_lesse_quals(c_RealVector_Odist__class_Odist(B,C,A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.50 ** KEPT (pick-wt=19): 34 [copy,33,flip.2] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Osmult(B,c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),A)=c_HOL_Otimes__class_Otimes(c_Polynomial_Osmult(B,C,A),D,tc_Polynomial_Opoly(A)).
% 173.44/173.50 ** KEPT (pick-wt=19): 36 [copy,35,flip.2] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Osmult(B,c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),A)=c_HOL_Otimes__class_Otimes(C,c_Polynomial_Osmult(B,D,A),tc_Polynomial_Opoly(A)).
% 173.44/173.50 ** KEPT (pick-wt=12): 37 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(B,A)=B| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.50 ** KEPT (pick-wt=12): 38 [] -class_RealVector_Ometric__space(A)|c_RealVector_Odist__class_Odist(B,C,A)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|B=C.
% 173.44/173.50 ** KEPT (pick-wt=20): 39 [] -class_Ring__and__Field_Oordered__ring__strict(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_lesse_quals(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),A).
% 173.44/173.50 ** KEPT (pick-wt=20): 40 [] -class_Ring__and__Field_Oordered__ring__strict(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,C,A),c_HOL_Otimes__class_Otimes(B,B,A),A),c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.50 ** KEPT (pick-wt=20): 41 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.50 ** KEPT (pick-wt=14): 42 [] -class_Int_Oring__char__0(A)| -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(B,A)!=c_Int_Onumber__class_Onumber__of(C,A)|B=C.
% 173.44/173.50 ** KEPT (pick-wt=28): 43 [] -class_Ring__and__Field_Osemiring(A)| -class_Int_Onumber(A)|c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),C,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A).
% 173.44/173.50 ** KEPT (pick-wt=20): 44 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)| -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A).
% 173.44/173.50 ** KEPT (pick-wt=18): 45 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(B,C,A),A),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),A).
% 173.44/173.50 ** KEPT (pick-wt=17): 46 [] -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).
% 173.44/173.50 ** KEPT (pick-wt=17): 47 [] -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).
% 173.44/173.50 ** KEPT (pick-wt=17): 48 [] -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).
% 173.44/173.50 Following clause subsumed by 46 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).
% 173.44/173.50 ** KEPT (pick-wt=17): 49 [] -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).
% 173.44/173.50 ** KEPT (pick-wt=17): 50 [] -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).
% 173.44/173.50 Following clause subsumed by 46 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).
% 173.44/173.50 ** KEPT (pick-wt=17): 51 [] -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).
% 173.44/173.50 ** KEPT (pick-wt=17): 52 [] -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).
% 173.44/173.50 ** KEPT (pick-wt=9): 53 [] -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).
% 173.44/173.50 ** KEPT (pick-wt=11): 54 [] -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).
% 173.44/173.50 ** KEPT (pick-wt=17): 56 [copy,55,factor_simp] -class_OrderedGroup_Opordered__comm__monoid__add(A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),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).
% 173.44/173.50 ** KEPT (pick-wt=20): 57 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),A),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,A),A),A).
% 173.44/173.50 ** KEPT (pick-wt=13): 58 [] -class_RealVector_Oreal__normed__vector(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(B,A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.50 ** KEPT (pick-wt=12): 59 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(B,A),C,A).
% 173.44/173.50 ** KEPT (pick-wt=18): 60 [] -class_Ring__and__Field_Olordered__ring(A)|c_lesse_quals(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),A).
% 173.44/173.50 ** KEPT (pick-wt=10): 61 [] -class_RealVector_Oreal__normed__vector(A)|c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.50 ** KEPT (pick-wt=12): 62 [] -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(B,A)!=c_RealVector_Oof__real(C,A)|B=C.
% 173.44/173.50 ** KEPT (pick-wt=12): 63 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Onorm__class_Onorm(B,A)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|B=c_HOL_Ozero__class_Ozero(A).
% 173.44/173.50 ** KEPT (pick-wt=20): 64 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)| -class_OrderedGroup_Ocomm__monoid__add(A)|c_lesse_quals(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A).
% 173.44/173.50 ** KEPT (pick-wt=20): 65 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)| -class_OrderedGroup_Ocomm__monoid__add(A)|c_lesse_quals(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),D,A).
% 173.44/173.50 ** KEPT (pick-wt=10): 66 [] -class_RealVector_Ometric__space(A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(B,B,A),tc_RealDef_Oreal).
% 173.44/173.50 ** KEPT (pick-wt=16): 67 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,A),c_HOL_Otimes__class_Otimes(C,C,A),A),A).
% 173.44/173.50 ** KEPT (pick-wt=14): 69 [copy,68,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).
% 173.44/173.50 ** KEPT (pick-wt=13): 70 [] -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).
% 173.44/173.50 ** KEPT (pick-wt=23): 71 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)|B=c_HOL_Ozero__class_Ozero(A).
% 173.44/173.50 ** KEPT (pick-wt=23): 72 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)|C=c_HOL_Ozero__class_Ozero(A).
% 173.44/173.50 ** KEPT (pick-wt=15): 73 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.50 ** KEPT (pick-wt=15): 74 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,B,A),c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.50 ** KEPT (pick-wt=15): 75 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,B,A),c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.50 ** KEPT (pick-wt=15): 76 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.50 ** KEPT (pick-wt=7): 78 [copy,77,flip.2] -class_Ring__and__Field_Ozero__ne_q__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 173.44/173.50 ** KEPT (pick-wt=9): 79 [] -class_RealVector_Ometric__space(A)|c_RealVector_Odist__class_Odist(B,B,A)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 173.44/173.50 ** KEPT (pick-wt=20): 80 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.50 ** KEPT (pick-wt=20): 81 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.50 ** KEPT (pick-wt=11): 82 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A)=c_HOL_Ozero__class_Ozero(A).
% 173.44/173.50 ** KEPT (pick-wt=9): 83 [] -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A)=c_HOL_Ozero__class_Ozero(A).
% 173.44/173.50 ** KEPT (pick-wt=20): 84 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(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),A).
% 173.44/173.50 ** KEPT (pick-wt=10): 85 [] -class_RealVector_Ometric__space(A)|c_lesse_quals(c_RealVector_Odist__class_Odist(B,B,A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.50 ** KEPT (pick-wt=13): 86 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.50 ** KEPT (pick-wt=18): 87 [] -class_OrderedGroup_Olordered__ab__group__add__abs(A)|c_lesse_quals(B,c_HOL_Oplus__class_Oplus(C,c_HOL_Oabs__class_Oabs(D,A),A),A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 173.44/173.50 ** KEPT (pick-wt=11): 88 [] A=B| -c_lesse_quals(B,A,tc_RealDef_Oreal)| -c_lesse_quals(A,B,tc_RealDef_Oreal).
% 173.44/173.50 ** KEPT (pick-wt=13): 89 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 173.44/173.50 Following clause subsumed by 89 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 173.44/173.50 Following clause subsumed by 89 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 173.44/173.50 ** KEPT (pick-wt=12): 90 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(B,A)=B| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.50 ** KEPT (pick-wt=16): 91 [] -class_OrderedGroup_Opordered__ab__semigroup__add(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)| -c_lesse_quals(C,D,A).
% 173.44/173.50 ** KEPT (pick-wt=16): 92 [] -class_OrderedGroup_Opordered__ab__semigroup__add(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)| -c_lesse_quals(B,D,A).
% 173.44/173.50 ** KEPT (pick-wt=16): 93 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(D,B,A),c_HOL_Oplus__class_Oplus(D,C,A),A).
% 173.44/173.50 ** KEPT (pick-wt=16): 94 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)| -c_lesse_quals(C,D,A).
% 173.44/173.50 ** KEPT (pick-wt=16): 95 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(B,D,A),c_HOL_Oplus__class_Oplus(C,D,A),A).
% 173.44/173.50 ** KEPT (pick-wt=16): 96 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)| -c_lesse_quals(B,D,A).
% 173.44/173.50 ** KEPT (pick-wt=27): 97 [] -class_Ring__and__Field_Opordered__ring__abs(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)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.50 ** KEPT (pick-wt=27): 98 [] -class_Ring__and__Field_Opordered__ring__abs(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)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.50 ** KEPT (pick-wt=27): 99 [] -class_Ring__and__Field_Opordered__ring__abs(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)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.50 ** KEPT (pick-wt=27): 100 [] -class_Ring__and__Field_Opordered__ring__abs(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)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.50 ** KEPT (pick-wt=10): 101 [] -class_RealVector_Ometric__space(A)| -c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(B,C,A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.50 ** KEPT (pick-wt=10): 102 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(A),A),A).
% 173.44/173.50 ** KEPT (pick-wt=13): 103 [] -class_RealVector_Ometric__space(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(B,C,A),tc_RealDef_Oreal)|B=C.
% 173.44/173.50 ** KEPT (pick-wt=20): 104 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.50 ** KEPT (pick-wt=20): 105 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(C,B,A),c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.50 ** KEPT (pick-wt=20): 106 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)|c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.50 ** KEPT (pick-wt=20): 107 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(C,B,A),c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.50 ** KEPT (pick-wt=18): 108 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 173.44/173.50 ** KEPT (pick-wt=21): 109 [] -class_Ring__and__Field_Omult__mono1(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(C,D,A).
% 173.44/173.50 ** KEPT (pick-wt=21): 110 [] -class_Ring__and__Field_Omult__mono(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(C,D,A).
% 173.44/173.50 ** KEPT (pick-wt=21): 111 [] -class_Ring__and__Field_Omult__mono(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(B,D,A).
% 173.44/173.50 ** KEPT (pick-wt=21): 112 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(D,C,A).
% 173.44/173.50 ** KEPT (pick-wt=21): 113 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(D,B,A).
% 173.44/173.50 ** KEPT (pick-wt=26): 114 [] -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).
% 173.44/173.50 ** KEPT (pick-wt=19): 115 [] -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).
% 173.44/173.50 ** KEPT (pick-wt=19): 116 [] -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).
% 173.44/173.50 Following clause subsumed by 15 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lesse_quals(B,B,A).
% 173.44/173.50 ** KEPT (pick-wt=10): 117 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(C,B,A).
% 173.44/173.50 Following clause subsumed by 15 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 173.44/173.50 Following clause subsumed by 15 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 173.44/173.50 Following clause subsumed by 117 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 173.44/173.50 ** KEPT (pick-wt=30): 118 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(C,E,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 173.44/173.50 ** KEPT (pick-wt=30): 119 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(C,E,A)| -c_lesse_quals(B,D,A).
% 173.44/173.50 ** KEPT (pick-wt=20): 120 [] -class_Ring__and__Field_Oordered__ring__strict(A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(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),A).
% 173.44/173.50 ** KEPT (pick-wt=30): 121 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(C,E,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 173.44/173.50 ** KEPT (pick-wt=16): 122 [] -class_Ring__and__Field_Oordered__ring__strict(A)| -c_HOL_Oord__class_Oless(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),A).
% 173.44/173.50 ** KEPT (pick-wt=21): 123 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 173.44/173.50 ** KEPT (pick-wt=21): 124 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,B,A),c_HOL_Otimes__class_Otimes(D,C,A),A).
% 173.44/173.50 ** KEPT (pick-wt=21): 125 [] -class_Ring__and__Field_Oordered__semiring(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 173.44/173.50 ** KEPT (pick-wt=21): 126 [] -class_Ring__and__Field_Oordered__semiring(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,B,A),c_HOL_Otimes__class_Otimes(D,C,A),A).
% 173.44/173.50 ** KEPT (pick-wt=30): 127 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(C,E,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 173.44/173.50 ** KEPT (pick-wt=21): 128 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 173.44/173.50 ** KEPT (pick-wt=21): 129 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(D,B,A),c_HOL_Otimes__class_Otimes(D,C,A),A).
% 173.44/173.50 ** KEPT (pick-wt=21): 130 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_lesse_quals(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.50 ** KEPT (pick-wt=21): 131 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(D,B,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 173.44/173.50 ** KEPT (pick-wt=21): 132 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_lesse_quals(D,C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.50 ** KEPT (pick-wt=21): 133 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(D,C,A),c_HOL_Otimes__class_Otimes(D,B,A),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.50 ** KEPT (pick-wt=20): 134 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,A),c_HOL_Otimes__class_Otimes(C,C,A),A),A)|C=c_HOL_Ozero__class_Ozero(A).
% 173.44/173.50 ** KEPT (pick-wt=20): 135 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,A),c_HOL_Otimes__class_Otimes(C,C,A),A),A)|B=c_HOL_Ozero__class_Ozero(A).
% 173.44/173.50 ** KEPT (pick-wt=10): 136 [] -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).
% 173.44/173.50 ** KEPT (pick-wt=10): 137 [] -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).
% 173.44/173.50 ** KEPT (pick-wt=10): 138 [] -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).
% 173.44/173.50 ** KEPT (pick-wt=10): 139 [] -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).
% 173.44/173.50 ** KEPT (pick-wt=10): 140 [] -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).
% 173.44/173.50 ** KEPT (pick-wt=10): 141 [] -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).
% 173.44/173.50 Following clause subsumed by 141 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).
% 173.44/173.50 ** KEPT (pick-wt=10): 142 [] -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).
% 173.44/173.50 Following clause subsumed by 142 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).
% 173.44/173.50 ** KEPT (pick-wt=10): 143 [] -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).
% 173.44/173.50 Following clause subsumed by 140 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).
% 173.44/173.50 ** KEPT (pick-wt=15): 144 [] -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).
% 173.44/173.50 ** KEPT (pick-wt=31): 145 [] -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.
% 173.44/173.50 Following clause subsumed by 145 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.
% 173.44/173.50 ** KEPT (pick-wt=20): 147 [copy,146,flip.2] -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).
% 173.44/173.50 ** KEPT (pick-wt=20): 148 [] -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).
% 173.44/173.50 ** KEPT (pick-wt=20): 149 [] -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).
% 173.44/173.50 ** KEPT (pick-wt=20): 150 [] -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).
% 173.44/173.50 Following clause subsumed by 150 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).
% 173.44/173.50 ** KEPT (pick-wt=20): 151 [] -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).
% 173.44/173.50 Following clause subsumed by 151 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).
% 173.44/173.50 Following clause subsumed by 147 during input processing: 0 [] -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).
% 173.44/173.51 ** KEPT (pick-wt=17): 152 [] -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).
% 173.44/173.51 ** KEPT (pick-wt=17): 153 [] -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).
% 173.44/173.51 ** KEPT (pick-wt=17): 154 [] -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).
% 173.44/173.51 Following clause subsumed by 154 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).
% 173.44/173.51 ** KEPT (pick-wt=9): 155 [] -class_OrderedGroup_Omonoid__mult(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oone__class_Oone(A),A)=B.
% 173.44/173.51 ** KEPT (pick-wt=9): 156 [] -class_OrderedGroup_Omonoid__mult(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 173.44/173.51 ** KEPT (pick-wt=9): 157 [] -class_OrderedGroup_Ocomm__monoid__mult(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 173.44/173.51 ** KEPT (pick-wt=9): 158 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 173.44/173.51 ** KEPT (pick-wt=9): 159 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oone__class_Oone(A),A)=B.
% 173.44/173.51 Following clause subsumed by 158 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.
% 173.44/173.51 ** KEPT (pick-wt=25): 160 [] -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).
% 173.44/173.51 Following clause subsumed by 160 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).
% 173.44/173.51 ** KEPT (pick-wt=26): 162 [copy,161,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).
% 173.44/173.51 ** KEPT (pick-wt=17): 164 [copy,163,flip.2] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_Polynomial_Osmult(B,c_Polynomial_Osmult(C,D,A),A).
% 173.44/173.51 ** KEPT (pick-wt=18): 165 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,A),A),D,A).
% 173.44/173.51 ** KEPT (pick-wt=25): 166 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,A),A),D,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(C,D,A),B,A).
% 173.44/173.51 ** KEPT (pick-wt=31): 167 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(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),A)| -c_lesse_quals(D,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(E,B,A),C,A),F,A),A).
% 173.44/173.51 ** KEPT (pick-wt=31): 168 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(B,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(C,D,A),E,A),F,A),A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,E,A),B,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,E,A),F,A),A).
% 173.44/173.51 ** KEPT (pick-wt=31): 169 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(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),A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,A),C,A),D,A),F,A).
% 173.44/173.51 ** KEPT (pick-wt=31): 170 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),D,A),E,A),F,A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),E,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,D,A),F,A),A).
% 173.44/173.51 ** KEPT (pick-wt=15): 171 [] -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).
% 173.44/173.51 ** KEPT (pick-wt=19): 172 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(E,D,A)| -c_lesse_quals(C,B,A).
% 173.44/173.51 ** KEPT (pick-wt=19): 173 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(E,D,A).
% 173.44/173.51 ** KEPT (pick-wt=9): 174 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 173.44/173.51 ** KEPT (pick-wt=9): 175 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 173.44/173.51 ** KEPT (pick-wt=9): 176 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 173.44/173.51 Following clause subsumed by 175 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 173.44/173.51 ** KEPT (pick-wt=11): 177 [] -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).
% 173.44/173.51 ** KEPT (pick-wt=11): 178 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,C,A),C,A)=B.
% 173.44/173.51 ** KEPT (pick-wt=12): 179 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 173.44/173.51 ** KEPT (pick-wt=12): 180 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 173.44/173.51 ** KEPT (pick-wt=14): 181 [] -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.
% 173.44/173.51 ** KEPT (pick-wt=23): 183 [copy,182,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).
% 173.44/173.51 ** KEPT (pick-wt=11): 184 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,A),C,A)=B.
% 173.44/173.51 ** KEPT (pick-wt=8): 185 [] c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(A,B,tc_RealDef_Oreal).
% 173.44/173.51 ** KEPT (pick-wt=11): 186 [] c_HOL_Oord__class_Oless(A,B,tc_RealDef_Oreal)|A=B| -c_lesse_quals(A,B,tc_RealDef_Oreal).
% 173.44/173.51 ** KEPT (pick-wt=19): 187 [] c_lesse_quals(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(B,C,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 173.44/173.51 ** KEPT (pick-wt=19): 188 [] c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(C,A,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(C,B,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),C,tc_RealDef_Oreal).
% 173.44/173.51 ** KEPT (pick-wt=19): 189 [] c_lesse_quals(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(C,B,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(A,C,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,tc_RealDef_Oreal).
% 173.44/173.51 ** KEPT (pick-wt=19): 190 [] c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),C,tc_RealDef_Oreal).
% 173.44/173.51 ** KEPT (pick-wt=13): 191 [] -class_RealVector_Oreal__normed__vector(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(B,A),tc_RealDef_Oreal)|B=c_HOL_Ozero__class_Ozero(A).
% 173.44/173.51 ** KEPT (pick-wt=10): 192 [] -class_RealVector_Oreal__normed__vector(A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(A),A),tc_RealDef_Oreal).
% 173.44/173.51 ** KEPT (pick-wt=16): 193 [] c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal)!=c_HOL_Otimes__class_Otimes(C,B,tc_RealDef_Oreal)|B=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|A=C.
% 173.44/173.51 ** KEPT (pick-wt=16): 194 [] c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal)!=c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal)|A=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|B=C.
% 173.44/173.51 ** KEPT (pick-wt=21): 195 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(C,B,A),c_HOL_Otimes__class_Otimes(D,B,A),A).
% 173.44/173.51 ** KEPT (pick-wt=21): 196 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(C,D,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 173.44/173.51 ** KEPT (pick-wt=21): 197 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 173.44/173.51 ** KEPT (pick-wt=21): 198 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,C,A),c_HOL_Otimes__class_Otimes(D,B,A),A).
% 173.44/173.51 ** KEPT (pick-wt=10): 199 [] -class_Ring__and__Field_Oordered__ring__strict(A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,B,A),c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 ** KEPT (pick-wt=22): 200 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(C,B,A),c_HOL_Otimes__class_Otimes(D,B,A),A).
% 173.44/173.51 ** KEPT (pick-wt=22): 201 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 173.44/173.51 ** KEPT (pick-wt=20): 202 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 173.44/173.51 ** KEPT (pick-wt=20): 203 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.51 ** KEPT (pick-wt=10): 204 [] -class_RealVector_Ometric__space(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(B,C,A),tc_RealDef_Oreal).
% 173.44/173.51 ** KEPT (pick-wt=12): 205 [] -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 173.44/173.51 ** KEPT (pick-wt=20): 206 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.51 ** KEPT (pick-wt=20): 207 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 Following clause subsumed by 207 during input processing: 0 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 ** KEPT (pick-wt=10): 208 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,B,A),A).
% 173.44/173.51 ** KEPT (pick-wt=20): 209 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.51 ** KEPT (pick-wt=20): 210 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 ** KEPT (pick-wt=20): 211 [] -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.51 ** KEPT (pick-wt=18): 212 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,A),A),A).
% 173.44/173.51 ** KEPT (pick-wt=15): 213 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,B,A),A).
% 173.44/173.51 ** KEPT (pick-wt=15): 214 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,B,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.51 ** KEPT (pick-wt=20): 215 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A).
% 173.44/173.51 ** KEPT (pick-wt=20): 216 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(C,B,A),A).
% 173.44/173.51 ** KEPT (pick-wt=20): 217 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A).
% 173.44/173.51 ** KEPT (pick-wt=20): 218 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(C,B,A),A).
% 173.44/173.51 ** KEPT (pick-wt=9): 219 [] -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).
% 173.44/173.51 ** KEPT (pick-wt=12): 220 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(A),c_HOL_Oone__class_Oone(A),A),A).
% 173.44/173.51 ** KEPT (pick-wt=30): 221 [] -class_Ring__and__Field_Opordered__semiring(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lesse_quals(C,E,A)| -c_lesse_quals(B,D,A).
% 173.44/173.51 ** KEPT (pick-wt=30): 222 [] -class_Ring__and__Field_Opordered__semiring(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(C,E,A)| -c_lesse_quals(B,D,A).
% 173.44/173.51 ** KEPT (pick-wt=9): 223 [] -class_RealVector_Oreal__normed__vector(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(B,A),tc_RealDef_Oreal).
% 173.44/173.51 ** KEPT (pick-wt=9): 224 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Polynomial_Osmult(c_HOL_Oone__class_Oone(A),B,A)=B.
% 173.44/173.51 ** KEPT (pick-wt=9): 225 [] -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),A)=c_HOL_Oone__class_Oone(A).
% 173.44/173.51 ** KEPT (pick-wt=23): 226 [] -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).
% 173.44/173.51 ** KEPT (pick-wt=24): 227 [] -class_Ring__and__Field_Oordered__idom(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),C,A)| -c_lesse_quals(B,c_HOL_Oone__class_Oone(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A).
% 173.44/173.51 ** KEPT (pick-wt=24): 228 [] -class_Ring__and__Field_Oordered__idom(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),B,A)| -c_lesse_quals(C,c_HOL_Oone__class_Oone(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.51 ** KEPT (pick-wt=16): 229 [] -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.
% 173.44/173.51 ** KEPT (pick-wt=14): 230 [] -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.
% 173.44/173.51 ** KEPT (pick-wt=14): 231 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(B,D,A)|C=D.
% 173.44/173.51 ** KEPT (pick-wt=14): 232 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(D,C,A)|B=D.
% 173.44/173.51 ** KEPT (pick-wt=20): 233 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.51 ** KEPT (pick-wt=20): 234 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 ** KEPT (pick-wt=20): 235 [] -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.51 ** KEPT (pick-wt=20): 236 [] -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 Following clause subsumed by 235 during input processing: 0 [] -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.51 Following clause subsumed by 236 during input processing: 0 [] -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 Following clause subsumed by 236 during input processing: 0 [] -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A).
% 173.44/173.51 ** KEPT (pick-wt=10): 237 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 ** KEPT (pick-wt=20): 238 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.51 ** KEPT (pick-wt=20): 239 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.51 ** KEPT (pick-wt=9): 240 [] -class_RealVector_Oreal__normed__algebra__1(A)|c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(A),A)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 173.44/173.51 ** KEPT (pick-wt=5): 241 [] c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)!=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 173.44/173.51 Following clause subsumed by 78 during input processing: 0 [] -class_Ring__and__Field_Ozero__ne_q__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 173.44/173.51 ** KEPT (pick-wt=11): 242 [] -class_RealVector_Ometric__space(A)|c_RealVector_Odist__class_Odist(B,C,A)=c_RealVector_Odist__class_Odist(C,B,A).
% 173.44/173.51 ** KEPT (pick-wt=20): 243 [] -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.
% 173.44/173.51 ** KEPT (pick-wt=20): 244 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.51 ** KEPT (pick-wt=20): 245 [] -class_OrderedGroup_Opordered__ab__semigroup__add(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A)| -c_lesse_quals(C,E,A)| -c_lesse_quals(B,D,A).
% 173.44/173.51 ** KEPT (pick-wt=15): 246 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,B,A),A).
% 173.44/173.51 ** KEPT (pick-wt=15): 247 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,B,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.51 ** KEPT (pick-wt=30): 248 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A),A),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,D,A),A),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(C,E,A),A),A),A).
% 173.44/173.51 ** KEPT (pick-wt=20): 249 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)| -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 173.44/173.51 ** KEPT (pick-wt=11): 250 [] -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).
% 173.44/173.51 ** KEPT (pick-wt=13): 251 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oabs__class_Oabs(B,A),A)|B=c_HOL_Ozero__class_Ozero(A).
% 173.44/173.51 ** KEPT (pick-wt=11): 252 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 173.44/173.51 Following clause subsumed by 252 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).
% 173.44/173.51 ** KEPT (pick-wt=11): 253 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 173.44/173.51 ** KEPT (pick-wt=9): 254 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 173.44/173.51 ** KEPT (pick-wt=16): 256 [copy,255,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).
% 173.44/173.51 ** KEPT (pick-wt=8): 257 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(B,c_HOL_Oabs__class_Oabs(B,A),A).
% 173.44/173.51 ** KEPT (pick-wt=21): 258 [] -class_Ring__and__Field_Ocomm__ring(A)|c_Polynomial_Osmult(c_HOL_Ominus__class_Ominus(B,C,A),D,A)=c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(B,D,A),c_Polynomial_Osmult(C,D,A),tc_Polynomial_Opoly(A)).
% 173.44/173.51 ** KEPT (pick-wt=22): 259 [] -class_Ring__and__Field_Ocomm__ring(A)|c_Polynomial_Osmult(B,c_HOL_Ominus__class_Ominus(C,D,tc_Polynomial_Opoly(A)),A)=c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(B,C,A),c_Polynomial_Osmult(B,D,A),tc_Polynomial_Opoly(A)).
% 173.44/173.51 ** KEPT (pick-wt=8): 260 [] -class_Ring__and__Field_Oordered__semidom(A)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 ** KEPT (pick-wt=8): 261 [] -class_Ring__and__Field_Oordered__semidom(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oone__class_Oone(A),A).
% 173.44/173.51 ** KEPT (pick-wt=18): 263 [copy,262,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).
% 173.44/173.51 ** KEPT (pick-wt=18): 265 [copy,264,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).
% 173.44/173.51 ** KEPT (pick-wt=28): 266 [] -class_Ring__and__Field_Osemiring(A)| -class_Int_Onumber(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),c_Int_Onumber__class_Onumber__of(D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),c_HOL_Otimes__class_Otimes(C,c_Int_Onumber__class_Onumber__of(D,A),A),A).
% 173.44/173.51 ** KEPT (pick-wt=20): 268 [copy,267,flip.2] -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,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A).
% 173.44/173.51 ** KEPT (pick-wt=20): 269 [] -class_Ring__and__Field_Oordered__idom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(B,A),A)=c_Int_Onumber__class_Onumber__of(B,A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 ** KEPT (pick-wt=20): 270 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.51 ** KEPT (pick-wt=8): 271 [] -class_Ring__and__Field_Oordered__semidom(A)| -c_lesse_quals(c_HOL_Oone__class_Oone(A),c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 ** KEPT (pick-wt=14): 272 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,C,A).
% 173.44/173.51 ** KEPT (pick-wt=14): 273 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 ** KEPT (pick-wt=9): 274 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)| -c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 ** KEPT (pick-wt=8): 275 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oone__class_Oone(A),A).
% 173.44/173.51 Following clause subsumed by 117 during input processing: 0 [] -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_lesse_quals(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 173.44/173.51 Following clause subsumed by 15 during input processing: 0 [] -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)|c_lesse_quals(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 173.44/173.51 ** KEPT (pick-wt=18): 276 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,A),A),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),A).
% 173.44/173.51 ** KEPT (pick-wt=15): 277 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(B,B,A),c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 ** KEPT (pick-wt=15): 278 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 ** KEPT (pick-wt=14): 279 [] -class_Orderings_Olinorder(A)| -class_OrderedGroup_Olordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(B,A)=B|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 ** KEPT (pick-wt=12): 280 [] -class_Ring__and__Field_Oabs__if(A)|c_HOL_Oabs__class_Oabs(B,A)=B|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 ** KEPT (pick-wt=21): 281 [] -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).
% 173.44/173.51 ** KEPT (pick-wt=12): 282 [] -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).
% 173.44/173.51 ** KEPT (pick-wt=10): 283 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(A),A),A).
% 173.44/173.51 ** KEPT (pick-wt=6): 284 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 173.44/173.51 ** KEPT (pick-wt=6): 285 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 173.44/173.51 ** KEPT (pick-wt=12): 286 [] c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_lesse_quals(C,B,tc_RealDef_Oreal)| -c_lesse_quals(A,C,tc_RealDef_Oreal).
% 173.44/173.51 ** KEPT (pick-wt=20): 287 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_lesse_quals(E,D,A)| -c_lesse_quals(B,c_HOL_Oplus__class_Oplus(C,E,A),A).
% 173.44/173.51 ** KEPT (pick-wt=14): 288 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 173.44/173.51 ** KEPT (pick-wt=20): 289 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 ** KEPT (pick-wt=14): 290 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 173.44/173.51 ** KEPT (pick-wt=22): 291 [] -class_RealVector_Oreal__normed__vector(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(B,A),c_HOL_Otimes__class_Otimes(C,c_RealVector_Onorm__class_Onorm(D,A),tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.51 ** KEPT (pick-wt=19): 292 [] -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).
% 173.44/173.51 ** KEPT (pick-wt=9): 293 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oabs__class_Oabs(B,A),A).
% 173.44/173.51 ** KEPT (pick-wt=10): 294 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 173.44/173.51 Following clause subsumed by 202 during input processing: 0 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 ** KEPT (pick-wt=20): 295 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A).
% 173.44/173.51 ** KEPT (pick-wt=20): 296 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(C,B,A),A).
% 173.44/173.51 ** KEPT (pick-wt=20): 297 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.51 ** KEPT (pick-wt=20): 298 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 ** KEPT (pick-wt=28): 299 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),c_HOL_Otimes__class_Otimes(D,E,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(C,A),E,A)| -c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(B,A),D,A).
% 173.44/173.51 ** KEPT (pick-wt=21): 300 [] -class_Ring__and__Field_Oordered__comm__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(C,D,A).
% 173.44/173.51 ** KEPT (pick-wt=21): 301 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_HOL_Oord__class_Oless(D,B,A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 ** KEPT (pick-wt=21): 302 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 173.44/173.51 ** KEPT (pick-wt=21): 303 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 173.44/173.51 Following clause subsumed by 301 during input processing: 0 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,B,A).
% 173.44/173.51 ** KEPT (pick-wt=21): 304 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.51 ** KEPT (pick-wt=21): 305 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.51 ** KEPT (pick-wt=21): 306 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(C,D,A).
% 173.44/173.51 Following clause subsumed by 304 during input processing: 0 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,C,A).
% 173.44/173.51 Following clause subsumed by 305 during input processing: 0 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 173.44/173.51 ** KEPT (pick-wt=21): 307 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,B,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 173.44/173.52 Following clause subsumed by 304 during input processing: 0 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.52 ** KEPT (pick-wt=21): 308 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,C,A),c_HOL_Otimes__class_Otimes(D,B,A),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.52 ** KEPT (pick-wt=20): 309 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),c_HOL_Otimes__class_Otimes(B,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),B,A).
% 173.44/173.52 ** KEPT (pick-wt=14): 310 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 173.44/173.52 ** KEPT (pick-wt=14): 311 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,C,A).
% 173.44/173.52 ** KEPT (pick-wt=18): 312 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(B,C,A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(D,B,A),A),C,A).
% 173.44/173.52 ** KEPT (pick-wt=29): 313 [] -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).
% 173.44/173.52 ** KEPT (pick-wt=29): 314 [] -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.
% 173.44/173.52 ** KEPT (pick-wt=26): 316 [copy,315,flip.2] -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).
% 173.44/173.52 ** KEPT (pick-wt=28): 317 [] -class_Ring__and__Field_Oring(A)| -class_Int_Onumber(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),c_Int_Onumber__class_Onumber__of(D,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),c_HOL_Otimes__class_Otimes(C,c_Int_Onumber__class_Onumber__of(D,A),A),A).
% 173.44/173.52 ** KEPT (pick-wt=28): 318 [] -class_Ring__and__Field_Oring(A)| -class_Int_Onumber(A)|c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ominus__class_Ominus(C,D,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),C,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A).
% 173.44/173.52 Following clause subsumed by 316 during input processing: 0 [] -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).
% 173.44/173.52 ** KEPT (pick-wt=41): 320 [copy,319,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).
% 173.44/173.52 ** KEPT (pick-wt=17): 321 [] -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(B,C,tc_RealDef_Oreal),A)=c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(B,A),c_RealVector_Oof__real(C,A),A).
% 173.44/173.52 ** KEPT (pick-wt=10): 322 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.52 ** KEPT (pick-wt=18): 323 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 173.44/173.52 ** KEPT (pick-wt=19): 324 [] c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(B,C,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 173.44/173.52 ** KEPT (pick-wt=19): 325 [] c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(C,B,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(A,C,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,tc_RealDef_Oreal).
% 173.44/173.52 ** KEPT (pick-wt=19): 326 [] c_HOL_Oord__class_Oless(A,B,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),C,tc_RealDef_Oreal).
% 173.44/173.52 ** KEPT (pick-wt=13): 328 [copy,327,flip.2] -class_RealVector_Odist__norm(A)|c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_RealVector_Odist__class_Odist(B,C,A).
% 173.44/173.52 ** KEPT (pick-wt=9): 329 [] -class_RealVector_Oreal__normed__vector(A)| -c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(B,A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.52 ** KEPT (pick-wt=21): 330 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),D,A)=c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(B,D,A),c_Polynomial_Opoly(C,D,A),A).
% 173.44/173.52 ** KEPT (pick-wt=17): 331 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Opoly(c_Polynomial_Osmult(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_Polynomial_Opoly(C,D,A),A).
% 173.44/173.52 ** KEPT (pick-wt=21): 332 [] -class_Ring__and__Field_Ocomm__ring(A)|c_Polynomial_Opoly(c_HOL_Ominus__class_Ominus(B,C,tc_Polynomial_Opoly(A)),D,A)=c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(B,D,A),c_Polynomial_Opoly(C,D,A),A).
% 173.44/173.52 ** KEPT (pick-wt=31): 333 [] -class_Ring__and__Field_Opordered__ring(A)|c_HOL_Oord__class_Oless(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),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(E,B,A),C,A),F,A),A).
% 173.44/173.52 ** KEPT (pick-wt=31): 334 [] -class_Ring__and__Field_Opordered__ring(A)|c_HOL_Oord__class_Oless(B,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(C,D,A),E,A),F,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,E,A),B,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,E,A),F,A),A).
% 173.44/173.52 ** KEPT (pick-wt=31): 335 [] -class_Ring__and__Field_Opordered__ring(A)|c_HOL_Oord__class_Oless(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),A)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,A),C,A),D,A),F,A).
% 173.44/173.52 ** KEPT (pick-wt=31): 336 [] -class_Ring__and__Field_Opordered__ring(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),D,A),E,A),F,A)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),E,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,D,A),F,A),A).
% 173.44/173.52 ** KEPT (pick-wt=18): 337 [] -class_RealVector_Oreal__normed__algebra(A)|c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(B,A),c_RealVector_Onorm__class_Onorm(C,A),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.52 ** KEPT (pick-wt=43): 338 [] c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(A,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_z,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(A,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__local__XpCons__1(v_cs____,v_e,v_z),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(A,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 173.44/173.52 ** KEPT (pick-wt=43): 339 [] c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(A,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_z,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(A,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__local__XpCons__Xhyps__1(v_cs____,v_e,v_z),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(A,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 173.44/173.52 ** KEPT (pick-wt=10): 340 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 173.44/173.52 ** KEPT (pick-wt=10): 341 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 173.44/173.52 ** KEPT (pick-wt=10): 342 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 173.44/173.52 Following clause subsumed by 342 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 173.44/173.52 ** KEPT (pick-wt=6): 343 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 173.44/173.52 ** KEPT (pick-wt=4): 344 [] -c_HOL_Oord__class_Oless(A,A,tc_RealDef_Oreal).
% 173.44/173.52 ** KEPT (pick-wt=6): 345 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 173.44/173.52 ** KEPT (pick-wt=6): 346 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 173.44/173.52 ** KEPT (pick-wt=17): 347 [] -class_RealVector_Oreal__normed__div__algebra(A)|c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(B,A),c_RealVector_Onorm__class_Onorm(C,A),tc_RealDef_Oreal).
% 173.44/173.52 ** KEPT (pick-wt=20): 348 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(C,D,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 173.44/173.52 ** KEPT (pick-wt=20): 349 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,C,A),c_HOL_Otimes__class_Otimes(D,B,A),A).
% 173.44/173.52 ** KEPT (pick-wt=17): 351 [copy,350,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).
% 173.44/173.52 ** KEPT (pick-wt=17): 352 [] -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).
% 173.44/173.52 Following clause subsumed by 351 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).
% 173.44/173.52 Following clause subsumed by 351 during input processing: 0 [] -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).
% 173.44/173.52 ** KEPT (pick-wt=17): 353 [] -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).
% 173.44/173.52 ** KEPT (pick-wt=17): 354 [] -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).
% 173.44/173.52 ** KEPT (pick-wt=26): 355 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(D,E,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(C,A),E,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(B,A),D,tc_RealDef_Oreal).
% 173.44/173.52 ** KEPT (pick-wt=19): 356 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_HOL_Oord__class_Oless(D,E,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 173.44/173.52 ** KEPT (pick-wt=19): 357 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,E,A).
% 173.44/173.52 ** KEPT (pick-wt=8): 358 [] -class_OrderedGroup_Oab__semigroup__idem__mult(A)|c_HOL_Otimes__class_Otimes(B,B,A)=B.
% 173.44/173.52 ** KEPT (pick-wt=14): 359 [] -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).
% 173.44/173.52 ** KEPT (pick-wt=13): 360 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 173.44/173.52 ** KEPT (pick-wt=13): 361 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 173.44/173.52 Following clause subsumed by 361 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 173.44/173.52 Following clause subsumed by 361 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 173.44/173.52 Following clause subsumed by 361 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 173.44/173.52 Following clause subsumed by 352 during input processing: 0 [] -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).
% 173.44/173.52 Following clause subsumed by 351 during input processing: 0 [] -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).
% 173.44/173.52 ** KEPT (pick-wt=23): 362 [] -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).
% 173.44/173.52 ** KEPT (pick-wt=3): 364 [copy,363,flip.1] v_z!=v_w____.
% 173.44/173.52 ** KEPT (pick-wt=11): 365 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,C,A)=c_HOL_Otimes__class_Otimes(C,B,A).
% 173.44/173.52 Following clause subsumed by 365 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).
% 173.44/173.52 ** KEPT (pick-wt=14): 366 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(D,C,A).
% 173.44/173.52 ** KEPT (pick-wt=14): 367 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 173.44/173.52 ** KEPT (pick-wt=14): 368 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 173.44/173.52 ** KEPT (pick-wt=14): 369 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 173.44/173.52 ** KEPT (pick-wt=20): 370 [] -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).
% 173.44/173.52 Following clause subsumed by 370 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).
% 173.44/173.52 ** KEPT (pick-wt=20): 371 [] -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).
% 173.44/173.52 Following clause subsumed by 371 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).
% 173.44/173.52 ** KEPT (pick-wt=15): 372 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(C,B,A),A).
% 173.44/173.52 ** KEPT (pick-wt=20): 373 [] -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),v_e,tc_RealDef_Oreal).
% 173.44/173.52 ** KEPT (pick-wt=5): 374 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocancel__comm__monoid__add(A).
% 173.44/173.52 ** KEPT (pick-wt=5): 375 [] class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__ring__1(A).
% 173.44/173.52 ** KEPT (pick-wt=5): 376 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.52 ** KEPT (pick-wt=5): 377 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.52 ** KEPT (pick-wt=5): 378 [] class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.52 ** KEPT (pick-wt=5): 379 [] class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.52 ** KEPT (pick-wt=5): 380 [] class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.52 ** KEPT (pick-wt=5): 381 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.52 ** KEPT (pick-wt=5): 382 [] class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.52 ** KEPT (pick-wt=5): 383 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.52 ** KEPT (pick-wt=5): 384 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oidom(A).
% 173.44/173.52 ** KEPT (pick-wt=5): 385 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocancel__comm__monoid__add(A).
% 173.44/173.52 ** KEPT (pick-wt=5): 386 [] class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.52 ** KEPT (pick-wt=5): 387 [] class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.52 ** KEPT (pick-wt=5): 388 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocancel__comm__monoid__add(A).
% 173.44/173.52 ** KEPT (pick-wt=5): 389 [] class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 390 [] class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 391 [] class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 392 [] class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oidom(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 393 [] class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 394 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__1(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 395 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__0(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 396 [] class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__0(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 397 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__1(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 398 [] class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocomm__monoid__add(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 399 [] class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 400 [] class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__0(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 401 [] class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocomm__monoid__add(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 402 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__1(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 403 [] class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 404 [] class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 405 [] class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Oab__group__add(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 406 [] class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__0(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 407 [] class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 408 [] class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__ring(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 409 [] class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__1(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 410 [] class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__0(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 411 [] class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocomm__monoid__add(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 412 [] class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Oab__group__add(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 413 [] class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 414 [] class_Ring__and__Field_Oring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__ring(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 415 [] class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oidom(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 416 [] class_Orderings_Opreorder(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 417 [] class_Orderings_Olinorder(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 418 [] class_Orderings_Oorder(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 419 [] class_Int_Oring__char__0(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 420 [] class_Int_Onumber__ring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__ring__1(A).
% 173.44/173.53 ** KEPT (pick-wt=5): 421 [] class_Int_Onumber(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__ring__1(A).
% 173.44/173.53 83 back subsumes 82.
% 173.44/173.53 117 back subsumes 16.
% 173.44/173.53 472 back subsumes 471.
% 173.44/173.53
% 173.44/173.53 ------------> process sos:
% 173.44/173.53 ** KEPT (pick-wt=3): 509 [] A=A.
% 173.44/173.53 ** KEPT (pick-wt=5): 510 [] c_HOL_Oord__class_Oless(v_da____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=7): 511 [] c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),A,tc_RealDef_Oreal)=A.
% 173.44/173.53 ---> New Demodulator: 512 [new_demod,511] c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),A,tc_RealDef_Oreal)=A.
% 173.44/173.53 Following clause subsumed by 509 during input processing: 0 [demod,512] c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=5): 513 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_da____,tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=5): 514 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_da____,tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=6): 515 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=4): 516 [] c_lesse_quals(A,A,tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=8): 517 [] c_lesse_quals(A,B,tc_RealDef_Oreal)|c_lesse_quals(B,A,tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=12): 518 [] A=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=11): 520 [copy,519,flip.1] c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_RealVector_Odist__class_Odist(A,B,tc_Complex_Ocomplex).
% 173.44/173.53 ---> New Demodulator: 521 [new_demod,520] c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_RealVector_Odist__class_Odist(A,B,tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=5): 522 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_e,tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=8): 523 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__local__XpCons__Xhyps__1(v_cs____,v_e,v_z),tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=8): 524 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__local__XpCons__1(v_cs____,v_e,v_z),tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=8): 526 [copy,525,demod,521] c_lesse_quals(c_RealVector_Odist__class_Odist(v_w____,v_z,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=7): 528 [copy,527,demod,521] c_lesse_quals(c_RealVector_Odist__class_Odist(v_w____,v_z,tc_Complex_Ocomplex),v_da____,tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=7): 530 [copy,529,demod,521] c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(v_w____,v_z,tc_Complex_Ocomplex),v_da____,tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=15): 531 [] c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(A,c_HOL_Otimes__class_Otimes(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.53 ---> New Demodulator: 532 [new_demod,531] c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(A,c_HOL_Otimes__class_Otimes(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=9): 533 [] c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(B,A,tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=7): 534 [] c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),v_e,tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=21): 536 [copy,535,demod,521] c_lesse_quals(c_HOL_Otimes__class_Otimes(c_RealVector_Odist__class_Odist(v_w____,v_z,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 537 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 538 [] class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 539 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 540 [] class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 541 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 542 [] class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 543 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 544 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 545 [] class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 546 [] class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 547 [] class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 548 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 549 [] class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 550 [] class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 551 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 552 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 553 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 554 [] class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 555 [] class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 556 [] class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 557 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 558 [] class_Ring__and__Field_Opordered__semiring(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 559 [] class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 560 [] class_Ring__and__Field_Oordered__semiring(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 561 [] class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 562 [] class_Ring__and__Field_Oordered__semidom(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 563 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 564 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 565 [] class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 566 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 567 [] class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 568 [] class_Ring__and__Field_Opordered__ring(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 569 [] class_Ring__and__Field_Olordered__ring(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 570 [] class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 571 [] class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 572 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 573 [] class_Ring__and__Field_Oordered__idom(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 574 [] class_Ring__and__Field_Omult__mono1(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 575 [] class_OrderedGroup_Oab__group__add(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 576 [] class_Ring__and__Field_Omult__zero(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 577 [] class_Ring__and__Field_Omult__mono(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 578 [] class_Ring__and__Field_Ocomm__ring(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 579 [] class_OrderedGroup_Omonoid__mult(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 580 [] class_Ring__and__Field_Osemiring(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 581 [] class_OrderedGroup_Omonoid__add(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 582 [] class_OrderedGroup_Ogroup__add(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 583 [] class_Ring__and__Field_Oabs__if(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 584 [] class_Ring__and__Field_Oring(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 585 [] class_Ring__and__Field_Oidom(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 586 [] class_Orderings_Opreorder(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 587 [] class_Orderings_Olinorder(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 588 [] class_Orderings_Oorder(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 589 [] class_Int_Oring__char__0(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 590 [] class_Int_Onumber__ring(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 591 [] class_Int_Onumber(tc_Int_Oint).
% 173.44/173.53 ** KEPT (pick-wt=2): 592 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 593 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 594 [] class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 595 [] class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 596 [] class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 597 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 598 [] class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 599 [] class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 600 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 601 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 602 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 603 [] class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 604 [] class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 605 [] class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 606 [] class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 607 [] class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 608 [] class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 609 [] class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 610 [] class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 611 [] class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 612 [] class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 613 [] class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 614 [] class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 615 [] class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 616 [] class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 617 [] class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 618 [] class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 619 [] class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 620 [] class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 621 [] class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 622 [] class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 623 [] class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 624 [] class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 625 [] class_Ring__and__Field_Ozero__ne_q__one(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 626 [] class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 627 [] class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 628 [] class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 629 [] class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 630 [] class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 631 [] class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 632 [] class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 633 [] class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 634 [] class_Ring__and__Field_Osemiring(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 635 [] class_RealVector_Ometric__space(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 636 [] class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 637 [] class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 638 [] class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 639 [] class_RealVector_Odist__norm(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 640 [] class_Ring__and__Field_Oring(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 641 [] class_Ring__and__Field_Oidom(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 642 [] class_Orderings_Opreorder(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 643 [] class_Orderings_Olinorder(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 644 [] class_Orderings_Oorder(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 645 [] class_Int_Oring__char__0(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 646 [] class_Int_Onumber__ring(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 647 [] class_Int_Onumber(tc_RealDef_Oreal).
% 173.44/173.53 ** KEPT (pick-wt=2): 648 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 649 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 650 [] class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 651 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 652 [] class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 653 [] class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 654 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 655 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 656 [] class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 657 [] class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 658 [] class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 659 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 660 [] class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 661 [] class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 662 [] class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 663 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 664 [] class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 665 [] class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 666 [] class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 667 [] class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 668 [] class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 669 [] class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 670 [] class_RealVector_Ometric__space(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 671 [] class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 672 [] class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 673 [] class_RealVector_Odist__norm(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 674 [] class_Ring__and__Field_Oring(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 675 [] class_Ring__and__Field_Oidom(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 676 [] class_Int_Oring__char__0(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 677 [] class_Int_Onumber__ring(tc_Complex_Ocomplex).
% 173.44/173.53 ** KEPT (pick-wt=2): 678 [] class_Int_Onumber(tc_Complex_Ocomplex).
% 173.44/173.53 Following clause subsumed by 509 during input processing: 0 [copy,509,flip.1] A=A.
% 173.44/173.53 509 back subsumes 505.
% 173.44/173.53 509 back subsumes 504.
% 173.44/173.53 509 back subsumes 427.
% 173.44/173.53 509 back subsumes 426.
% 173.44/173.53 >>>> Starting back demodulation with 512.
% 173.44/173.53 >>>> Starting back demodulation with 521.
% 173.83/173.91 >> back demodulating 373 with 521.
% 173.83/173.91 >> back demodulating 339 with 521.
% 173.83/173.91 >> back demodulating 338 with 521.
% 173.83/173.91 >>>> Starting back demodulation with 532.
% 173.83/173.91 Following clause subsumed by 533 during input processing: 0 [copy,533,flip.1] c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(B,A,tc_RealDef_Oreal).
% 173.83/173.91
% 173.83/173.91 ======= end of input processing =======
% 173.83/173.91
% 173.83/173.91 =========== start of search ===========
% 173.83/173.91
% 173.83/173.91
% 173.83/173.91 Resetting weight limit to 2.
% 173.83/173.91
% 173.83/173.91
% 173.83/173.91 Resetting weight limit to 2.
% 173.83/173.91
% 173.83/173.91 sos_size=164
% 173.83/173.91
% 173.83/173.91 Search stopped because sos empty.
% 173.83/173.91
% 173.83/173.91
% 173.83/173.91 Search stopped because sos empty.
% 173.83/173.91
% 173.83/173.91 ============ end of search ============
% 173.83/173.91
% 173.83/173.91 -------------- statistics -------------
% 173.83/173.91 clauses given 165
% 173.83/173.91 clauses generated 28271
% 173.83/173.91 clauses kept 654
% 173.83/173.91 clauses forward subsumed 104
% 173.83/173.91 clauses back subsumed 7
% 173.83/173.91 Kbytes malloced 7812
% 173.83/173.91
% 173.83/173.91 ----------- times (seconds) -----------
% 173.83/173.91 user CPU time 0.45 (0 hr, 0 min, 0 sec)
% 173.83/173.91 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 173.83/173.91 wall-clock time 173 (0 hr, 2 min, 53 sec)
% 173.83/173.91
% 173.83/173.91 Process 13731 finished Wed Jul 27 03:54:44 2022
% 173.83/173.91 Otter interrupted
% 173.83/173.91 PROOF NOT FOUND
%------------------------------------------------------------------------------