TSTP Solution File: SWV595-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV595-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n005.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 13:21:16 EDT 2022
% Result : Unknown 160.13s 160.22s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV595-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n005.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 06:18:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 159.80/159.94 ----- Otter 3.3f, August 2004 -----
% 159.80/159.94 The process was started by sandbox on n005.cluster.edu,
% 159.80/159.94 Wed Jul 27 06:18:35 2022
% 159.80/159.94 The command was "./otter". The process ID is 28939.
% 159.80/159.94
% 159.80/159.94 set(prolog_style_variables).
% 159.80/159.94 set(auto).
% 159.80/159.94 dependent: set(auto1).
% 159.80/159.94 dependent: set(process_input).
% 159.80/159.94 dependent: clear(print_kept).
% 159.80/159.94 dependent: clear(print_new_demod).
% 159.80/159.94 dependent: clear(print_back_demod).
% 159.80/159.94 dependent: clear(print_back_sub).
% 159.80/159.94 dependent: set(control_memory).
% 159.80/159.94 dependent: assign(max_mem, 12000).
% 159.80/159.94 dependent: assign(pick_given_ratio, 4).
% 159.80/159.94 dependent: assign(stats_level, 1).
% 159.80/159.94 dependent: assign(max_seconds, 10800).
% 159.80/159.94 clear(print_given).
% 159.80/159.94
% 159.80/159.94 list(usable).
% 159.80/159.94 0 [] A=A.
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 0 [] -class_Divides_Oring__div(T_a)|c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a)=c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(V_x,V_y,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a).
% 159.80/159.94 0 [] -class_Divides_Oring__div(T_a)|c_Divides_Odiv__class_Odiv(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(V_x,V_y,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a).
% 159.80/159.94 0 [] -class_RealVector_Oreal__algebra__1(T_a)|c_RealVector_Oof__real(V_r,T_a)=c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Oone__class_Oone(T_a),T_a).
% 159.80/159.94 0 [] -class_Int_Onumber__ring(T_a)|c_HOL_Ouminus__class_Ouminus(V_x,T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_x,T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)!=c_HOL_Oone__class_Oone(T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b.
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),T_a)| -c_lesse_quals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(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).
% 159.80/159.94 0 [] -class_OrderedGroup_Ocomm__monoid__mult(T_a)|c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_n,T_a)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_q,T_a)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),c_Power_Opower__class_Opower(V_y,V_q,T_a),T_a).
% 159.80/159.94 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).
% 159.80/159.94 0 [] -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Oinverse__class_Oinverse(V_a,T_a)!=c_HOL_Oinverse__class_Oinverse(V_b,T_a)|V_a=V_b|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(V_a,T_a)!=c_HOL_Oinverse__class_Oinverse(V_b,T_a)|V_a=V_b.
% 159.80/159.94 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).
% 159.80/159.94 0 [] -class_OrderedGroup_Oab__semigroup__idem__mult(T_a)|c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)=V_x.
% 159.80/159.94 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Otimes__class_Otimes(V_a,V_b,T_a)!=c_HOL_Oone__class_Oone(T_a)|c_HOL_Oinverse__class_Oinverse(V_a,T_a)=V_b.
% 159.80/159.94 0 [] c_lesse_quals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(V_x,V_a),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_a,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_b,V_a,T_a).
% 159.80/159.94 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(V_x,T_a),T_a)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.94 0 [] c_NthRoot_Osqrt(V_x)!=c_NthRoot_Osqrt(V_y)|V_x=V_y.
% 159.80/159.94 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a).
% 159.80/159.94 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal).
% 159.80/159.94 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal).
% 159.80/159.94 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal).
% 159.80/159.94 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a).
% 159.80/159.94 0 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.94 0 [] c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal)!=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|V_x=c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|V_x=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.94 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.80/159.94 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.80/159.94 0 [] -class_Divides_Osemiring__div(T_a)|c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_x,V_y,T_a),c_Divides_Odiv__class_Odiv(V_w,V_z,T_a),T_a)=c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_x,V_w,T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_z,V_w,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)|c_Power_Opower__class_Opower(V_a,V_n,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)| -class_Ring__and__Field_Ono__zero__divisors(T_a)| -class_Ring__and__Field_Omult__zero(T_a)| -class_Power_Opower(T_a)|c_Power_Opower__class_Opower(V_a,V_n,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.94 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).
% 159.80/159.94 0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a).
% 159.80/159.94 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(V_x,T_a),T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_z,V_w,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_y,V_w,T_a),T_a).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a),T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a),T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a).
% 159.80/159.94 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(V_x,T_a)!=c_HOL_Ouminus__class_Ouminus(V_y,T_a)|V_x=V_y.
% 159.80/159.94 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)!=c_HOL_Ouminus__class_Ouminus(V_b,T_a)|V_a=V_b.
% 159.80/159.94 0 [] -class_Ring__and__Field_Ofield(T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Ofield(T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)=V_a.
% 159.80/159.94 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|V_a=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)=V_a|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_b,T_a)=V_a|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)!=V_a|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.94 0 [] c_lesse_quals(c_Transcendental_Osin(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.80/159.94 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Oinverse(V_a,T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.94 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 159.80/159.94 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a).
% 159.80/159.94 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 159.80/159.94 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Oidom(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(V_b,V_b,T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(V_a,V_b,T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_a,T_a)=c_HOL_Oone__class_Oone(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_a,T_a)=c_HOL_Oone__class_Oone(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)=c_HOL_Oone__class_Oone(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.94 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).
% 159.80/159.94 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).
% 159.80/159.94 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)=c_Divides_Odiv__class_Odiv(V_a,V_b,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.94 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)=c_Divides_Odiv__class_Odiv(V_a,V_b,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.94 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(V_a,T_a),T_a)=c_HOL_Osgn__class_Osgn(V_a,T_a).
% 159.80/159.94 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).
% 159.80/159.94 0 [] -class_RealVector_Oreal__algebra__1(T_a)|c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),T_a)=c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(V_x,T_a),T_a).
% 159.80/159.94 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Oreal__algebra__1(T_a)|c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),T_a)=c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(V_x,T_a),T_a).
% 159.80/159.94 0 [] c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.94 0 [] c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.94 0 [] c_lesse_quals(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.80/159.94 0 [] c_lesse_quals(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.80/159.94 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oabs__class_Oabs(V_k,T_a)=c_HOL_Otimes__class_Otimes(V_k,c_HOL_Osgn__class_Osgn(V_k,T_a),T_a).
% 159.80/159.94 0 [] c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal)!=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)|V_x=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.94 0 [] c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal)!=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)|V_y=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.94 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.94 0 [] -class_Divides_Osemiring__div(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),c_Divides_Odiv__class_Odiv(V_c,V_a,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 159.80/159.94 0 [] -class_Divides_Osemiring__div(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),c_Divides_Odiv__class_Odiv(V_c,V_a,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ocomm__ring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ocomm__ring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ocomm__ring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ocomm__ring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a).
% 159.80/159.95 0 [] c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal))=c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 0 [] c_lesse_quals(c_Log_Opowr(V_x,V_a),c_Log_Opowr(V_x,V_b),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)| -c_lesse_quals(V_a,V_b,tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] c_lesse_quals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal)| -c_lesse_quals(V_x,V_r,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal),V_x,tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.80/159.95 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.80/159.95 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=c_HOL_Oabs__class_Oabs(V_a,T_a).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)=V_a|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] c_lesse_quals(c_HOL_Oabs__class_Oabs(c_Transcendental_Osin(V_x),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_OrderedGroup_Opordered__ab__group__add(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),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 159.80/159.95 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_a,T_a),V_b,T_a)=c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),V_y,T_a)=c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a)=c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_xa,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a)=c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),V_y,T_a)=c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_x,c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a)=c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] c_NthRoot_Osqrt(V_x)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)|V_x=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_a,T_a),V_n,T_a),T_a).
% 159.80/159.95 0 [] c_lesse_quals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)| -c_lesse_quals(V_x,V_y,tc_RealDef_Oreal).
% 159.80/159.95 0 [] c_lesse_quals(V_x,V_y,tc_RealDef_Oreal)| -c_lesse_quals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__field(T_a)|c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),V_y,T_a)=c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a).
% 159.80/159.95 0 [] V_x=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_c,c_HOL_Oabs__class_Oabs(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(V_c,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(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_Oinverse__class_Oinverse(V_a,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.80/159.95 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(V_a,V_a,T_a)=c_HOL_Oone__class_Oone(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] c_NthRoot_Osqrt(V_x)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|V_x=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.80/159.95 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(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 159.80/159.95 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.80/159.95 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_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a).
% 159.80/159.95 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.80/159.95 0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 159.80/159.95 0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.80/159.95 0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a).
% 159.80/159.95 0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__algebra__1(T_a)|c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(V_r,T_a),T_a)=c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),V_b,T_a)=V_a|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oidom(T_a)|c_HOL_Otimes__class_Otimes(V_a,V_a,T_a)!=c_HOL_Otimes__class_Otimes(V_b,V_b,T_a)|V_a=c_HOL_Ouminus__class_Ouminus(V_b,T_a)|V_a=V_b.
% 159.80/159.95 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_x,T_a),c_HOL_Oabs__class_Oabs(V_x,T_a),T_a)=V_x.
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)| -c_lesse_quals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(V_a,T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(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_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(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).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(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).
% 159.80/159.95 0 [] c_Log_Opowr(c_Log_Opowr(V_x,V_a),V_b)=c_Log_Opowr(c_Log_Opowr(V_x,V_b),V_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(V_a,tc_RealDef_Oreal),V_x,T_a)=c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_xa,T_a)=c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_x,V_xa,T_a),T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(V_a,tc_RealDef_Oreal),V_b,T_a)=c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a).
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.80/159.95 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.
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 159.80/159.95 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 0 [] c_lesse_quals(V_x,V_r,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Oinverse(V_a,T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oinverse__class_Oinverse(V_x,T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_x,T_a).
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Odvd(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a),V_n,T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)=V_a.
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_RealVector_Oreal__algebra__1(T_a)|c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a)=c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(V_r,T_a),V_x,T_a).
% 159.80/159.95 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ozero__class_Ozero(T_a)!=c_HOL_Ouminus__class_Ouminus(V_a,T_a)|c_HOL_Ozero__class_Ozero(T_a)=V_a.
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a)|c_HOL_Oinverse__class_Odivide(V_x,V_x,T_a)=c_HOL_Oone__class_Oone(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a)=c_HOL_Oone__class_Oone(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a)=c_HOL_Oone__class_Oone(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(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_Oinverse__class_Odivide(V_a,V_b,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(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_Oinverse__class_Odivide(V_a,V_b,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(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_Oinverse__class_Odivide(V_a,V_b,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(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_Oinverse__class_Odivide(V_a,V_b,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_lesse_quals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Oone__class_Oone(T_a),V_x,T_a)|c_lesse_quals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a)|c_lesse_quals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__field(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a),T_a)=c_RealVector_OscaleR__class_OscaleR(c_HOL_Otimes__class_Otimes(V_a,V_b,tc_RealDef_Oreal),V_x,T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_b,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__field(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal))=c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Oinverse__class_Oinverse(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).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.80/159.95 0 [] -class_Divides_Osemiring__div(T_a)|c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),V_c,T_a)=c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),V_a,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 159.80/159.95 0 [] c_lesse_quals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.80/159.95 0 [] c_lesse_quals(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)=c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_a,T_a),V_n,T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_n,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Osgn__class_Osgn(V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_HOL_Osgn__class_Osgn(V_x,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_u,V_u,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),V_y,T_a).
% 159.80/159.95 0 [] -class_Divides_Osemiring__div(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),T_a)=V_b| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 159.80/159.95 0 [] -class_Divides_Osemiring__div(T_a)|c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(V_b,V_a,T_a),V_a,T_a)=V_b| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 159.80/159.95 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(V_a,T_a)=c_HOL_Ouminus__class_Ouminus(V_a,T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_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_c,T_a),V_b,T_a)| -c_lesse_quals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a).
% 159.80/159.95 0 [] c_Fun_Oid(V_x,T_a)=V_x.
% 159.80/159.95 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=V_b.
% 159.80/159.95 0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_a=c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 159.80/159.95 0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_b=c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 159.80/159.95 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=V_x.
% 159.80/159.95 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=V_a.
% 159.80/159.95 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a).
% 159.80/159.95 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a).
% 159.80/159.95 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 159.80/159.95 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 159.80/159.95 0 [] c_Transcendental_Osin(V_x)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(V_x),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_lesse_quals(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)| -c_lesse_quals(c_HOL_Oone__class_Oone(T_a),V_a,T_a).
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_RealVector_Onorm__class_Onorm(V_x,T_a).
% 159.80/159.95 0 [] c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal))=c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a)=c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a),T_a)=c_RealVector_OscaleR__class_OscaleR(V_b,c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_ra,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a)=c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_ra,V_x,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(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_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(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_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(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_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(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_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oring__1(T_a)|c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_n,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a).
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_OrderedGroup_Omonoid__mult(T_a)|c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a)=c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a).
% 159.80/159.95 0 [] c_Log_Opowr(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.95 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.
% 159.80/159.95 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.
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)| -c_lesse_quals(c_HOL_Oone__class_Oone(T_a),V_x,T_a).
% 159.80/159.95 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a).
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Ozero__class_Ozero(T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a).
% 159.80/159.95 0 [] c_Log_Opowr(V_x,V_a)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_Divides_Osemiring__div(T_a)|c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(V_x,V_y,T_a),V_n,T_a)=c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_n,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,T_a).
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.80/159.95 0 [] c_lesse_quals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal).
% 159.80/159.95 0 [] c_lesse_quals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal).
% 159.80/159.95 0 [] c_lesse_quals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|V_b=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a)=V_b|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a),T_a)=c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a).
% 159.80/159.95 0 [] c_Log_Opowr(c_Log_Opowr(V_x,V_a),V_b)=c_Log_Opowr(V_x,c_HOL_Otimes__class_Otimes(V_a,V_b,tc_RealDef_Oreal)).
% 159.80/159.95 0 [] -class_Ring__and__Field_Osemiring__1(T_a)|V_z=c_HOL_Ozero__class_Ozero(T_a)| -c_Int_Oiszero(V_z,T_a).
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(V_x,c_HOL_Oone__class_Oone(T_a),T_a)| -c_lesse_quals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a).
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(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).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(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).
% 159.80/159.95 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(V_x,V_y),tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Osgn__if(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ozero__class_Ozero(T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Odivision__ring(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Oinverse__class_Oinverse(V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)=c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 159.80/159.95 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)=c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)=c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oinverse__class_Oinverse(V_y,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Osemiring__1(T_a)|c_Int_Oiszero(c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.80/159.95 0 [] c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal))=c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 159.80/159.95 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 159.80/159.95 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).
% 159.80/159.95 0 [] c_lesse_quals(V_w,V_w,tc_RealDef_Oreal).
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,T_a)=c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_RealVector_OscaleR__class_OscaleR(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a)!=c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a)|V_a=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|V_x=V_y.
% 159.80/159.95 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a)!=c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b.
% 159.80/159.95 0 [] c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Ozero__class_Ozero(T_a)=c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)!=c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a)|V_z=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a)|c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)=c_HOL_Otimes__class_Otimes(V_w,V_y,T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)!=c_HOL_Otimes__class_Otimes(V_w,V_y,T_a)|V_z=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a)|c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)=c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a).
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a),T_a)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__div__algebra(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_x,T_a),c_HOL_Osgn__class_Osgn(V_y,T_a),T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Osgn__class_Osgn(V_b,T_a),T_a).
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oabs__class_Oabs(V_l,T_a)!=c_HOL_Oabs__class_Oabs(V_k,T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_l,V_k,T_a).
% 159.80/159.95 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 159.80/159.95 0 [] c_lesse_quals(V_w,V_z,tc_RealDef_Oreal)|c_lesse_quals(V_z,V_w,tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_Ring__and__Field_Osemiring__1(T_a)| -c_Int_Oiszero(c_HOL_Oone__class_Oone(T_a),T_a).
% 159.80/159.95 0 [] c_Log_Opowr(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_a)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.95 0 [] c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal))=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.95 0 [] c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal))=c_Transcendental_Ocos(V_x).
% 159.80/159.95 0 [] -class_Ring__and__Field_Odivision__ring(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a)=c_HOL_Oone__class_Oone(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a)=c_HOL_Oone__class_Oone(T_a).
% 159.80/159.95 0 [] c_Transcendental_Ocos(V_x)!=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|c_Transcendental_Osin(V_x)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_OrderedGroup_Omonoid__mult(T_a)|c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a)=c_HOL_Oone__class_Oone(T_a).
% 159.80/159.95 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).
% 159.80/159.95 0 [] c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)!=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.95 0 [] c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a)=V_a.
% 159.80/159.95 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).
% 159.80/159.95 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).
% 159.80/159.95 0 [] c_lesse_quals(c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,T_a)=V_x.
% 159.80/159.95 0 [] c_lesse_quals(c_Transcendental_Ocos(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),V_a,T_a).
% 159.80/159.95 0 [] c_Fun_Oid(v_x,t_a)=v_x.
% 159.80/159.95 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).
% 159.80/159.95 0 [] c_NthRoot_Osqrt(V_x)!=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|V_x=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.95 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.
% 159.80/159.95 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.
% 159.80/159.95 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.
% 159.80/159.95 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.
% 159.80/159.95 0 [] c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal)=V_z.
% 159.80/159.95 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.
% 159.80/159.95 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.
% 159.80/159.95 0 [] -class_RealVector_Oreal__normed__algebra__1(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(T_a),T_a)=c_HOL_Oone__class_Oone(T_a).
% 159.80/159.95 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Oinverse(V_x,T_a)!=c_HOL_Oone__class_Oone(T_a)|V_x=c_HOL_Oone__class_Oone(T_a).
% 159.80/159.95 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).
% 159.80/159.95 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(V_a,c_HOL_Oone__class_Oone(T_a),T_a)=V_a.
% 159.80/159.95 0 [] v_x=c_Transcendental_Opi.
% 159.80/159.95 0 [] c_Transcendental_Ocos(v_x)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_RealVector_Oreal__normed__field(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_RealVector_Oreal__algebra(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_RealVector_Oreal__vector(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Oring__1(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Ofield(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Oring(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Oidom(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Ring__and__Field_Odvd(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Orderings_Opreorder(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Orderings_Olinorder(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Orderings_Oorder(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Int_Onumber__ring(tc_RealDef_Oreal).
% 159.80/159.95 0 [] class_Power_Opower(tc_RealDef_Oreal).
% 159.80/159.95 end_of_list.
% 159.80/159.95
% 159.80/159.95 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 159.80/159.95
% 159.80/159.95 This ia a non-Horn set with equality. The strategy will be
% 159.80/159.95 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 159.80/159.95 deletion, with positive clauses in sos and nonpositive
% 159.80/159.95 clauses in usable.
% 159.80/159.95
% 159.80/159.95 dependent: set(knuth_bendix).
% 159.80/159.95 dependent: set(anl_eq).
% 159.80/159.95 dependent: set(para_from).
% 159.80/159.95 dependent: set(para_into).
% 159.80/159.95 dependent: clear(para_from_right).
% 159.80/159.95 dependent: clear(para_into_right).
% 159.80/159.95 dependent: set(para_from_vars).
% 159.80/159.95 dependent: set(eq_units_both_ways).
% 159.80/159.95 dependent: set(dynamic_demod_all).
% 159.80/159.95 dependent: set(dynamic_demod).
% 159.80/159.95 dependent: set(order_eq).
% 159.80/159.95 dependent: set(back_demod).
% 159.80/159.95 dependent: set(lrpo).
% 159.80/159.95 dependent: set(hyper_res).
% 159.80/159.95 dependent: set(unit_deletion).
% 159.80/159.95 dependent: set(factor).
% 159.80/159.95
% 159.80/159.95 ------------> process usable:
% 159.80/159.95 ** KEPT (pick-wt=17): 1 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=17): 2 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=19): 4 [copy,3,flip.2] -class_Divides_Oring__div(A)|c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(B,C,A),A)=c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,A).
% 159.80/159.95 ** KEPT (pick-wt=19): 6 [copy,5,flip.2] -class_Divides_Oring__div(A)|c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(B,C,A),A)=c_Divides_Odiv__class_Odiv(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,A).
% 159.80/159.95 ** KEPT (pick-wt=11): 7 [] -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(B,A)=c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Oone__class_Oone(A),A).
% 159.80/159.95 ** KEPT (pick-wt=13): 8 [] -class_Int_Onumber__ring(A)|c_HOL_Ouminus__class_Ouminus(B,A)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(A),A),B,A).
% 159.80/159.95 ** KEPT (pick-wt=16): 9 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,C,A)!=c_HOL_Oone__class_Oone(A)|C=c_HOL_Ozero__class_Ozero(A)|B=C.
% 159.80/159.95 ** KEPT (pick-wt=20): 10 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=20): 11 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=20): 12 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=10): 13 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=20): 14 [] -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).
% 159.80/159.95 Following clause subsumed by 14 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).
% 159.80/159.95 ** KEPT (pick-wt=20): 15 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=15): 17 [copy,16,flip.3] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(B,A),A)=c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(B,A),A).
% 159.80/159.95 ** KEPT (pick-wt=17): 18 [] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(B,C,A),A)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(B,A),C,A).
% 159.80/159.95 ** KEPT (pick-wt=23): 19 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(D,B,A).
% 159.80/159.95 ** KEPT (pick-wt=23): 20 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(B,D,A).
% 159.80/159.95 ** KEPT (pick-wt=20): 21 [] -class_OrderedGroup_Ocomm__monoid__mult(A)|c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A).
% 159.80/159.95 ** KEPT (pick-wt=20): 22 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A).
% 159.80/159.95 ** KEPT (pick-wt=17): 23 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=9): 24 [] -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.95 Following clause subsumed by 24 during input processing: 0 [] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.95 ** KEPT (pick-wt=20): 25 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Oinverse__class_Oinverse(B,A)!=c_HOL_Oinverse__class_Oinverse(C,A)|B=C|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.95 ** KEPT (pick-wt=14): 26 [] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(B,A)!=c_HOL_Oinverse__class_Oinverse(C,A)|B=C.
% 159.80/159.95 ** KEPT (pick-wt=12): 27 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=8): 28 [] -class_OrderedGroup_Oab__semigroup__idem__mult(A)|c_HOL_Otimes__class_Otimes(B,B,A)=B.
% 159.80/159.95 ** KEPT (pick-wt=14): 29 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Oone__class_Oone(A)|c_HOL_Oinverse__class_Oinverse(B,A)=C.
% 159.80/159.95 ** KEPT (pick-wt=17): 30 [] c_lesse_quals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(A,B),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 159.80/159.95 ** KEPT (pick-wt=21): 31 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=21): 32 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=21): 33 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=21): 34 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=21): 35 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=15): 36 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(C,B,A).
% 159.80/159.95 ** KEPT (pick-wt=14): 37 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(B,A),A)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.95 ** KEPT (pick-wt=8): 38 [] c_NthRoot_Osqrt(A)!=c_NthRoot_Osqrt(B)|A=B.
% 159.80/159.95 ** KEPT (pick-wt=13): 39 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(D,B,A),C,A).
% 159.80/159.95 ** KEPT (pick-wt=13): 40 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,D,A),C,A).
% 159.80/159.95 ** KEPT (pick-wt=13): 41 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 159.80/159.95 ** KEPT (pick-wt=13): 42 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 159.80/159.95 ** KEPT (pick-wt=11): 43 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(A),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 159.80/159.95 ** KEPT (pick-wt=11): 44 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(A),tc_RealDef_Oreal).
% 159.80/159.95 Following clause subsumed by 43 during input processing: 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(A),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 159.80/159.95 ** KEPT (pick-wt=14): 45 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(B,A),C,A).
% 159.80/159.95 ** KEPT (pick-wt=12): 46 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),B,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(B,tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 159.80/159.95 ** KEPT (pick-wt=20): 47 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=20): 48 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=20): 49 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=20): 50 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=17): 51 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),C,A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.95 ** KEPT (pick-wt=17): 52 [] c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal)!=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|A=c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|A=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.95 ** KEPT (pick-wt=14): 53 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.80/159.95 ** KEPT (pick-wt=14): 54 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.80/159.95 ** KEPT (pick-wt=31): 55 [] -class_Divides_Osemiring__div(A)|c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,A),c_Divides_Odiv__class_Odiv(D,E,A),A)=c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,E,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(E,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,A).
% 159.80/159.95 ** KEPT (pick-wt=13): 56 [] -class_Ring__and__Field_Oring__1__no__zero__divisors(A)|c_Power_Opower__class_Opower(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.95 ** KEPT (pick-wt=19): 57 [] -class_Ring__and__Field_Ozero__ne_q__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.95 ** KEPT (pick-wt=14): 58 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=15): 59 [] -class_Ring__and__Field_Oring(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 159.80/159.95 ** KEPT (pick-wt=15): 60 [] -class_Ring__and__Field_Oring(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 159.80/159.95 ** KEPT (pick-wt=13): 62 [copy,61,flip.2] -class_RealVector_Oreal__normed__vector(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(B,A),A)=c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(B,A),A).
% 159.80/159.95 ** KEPT (pick-wt=25): 63 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,E,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,E,A),A).
% 159.80/159.95 ** KEPT (pick-wt=27): 64 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=27): 65 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=27): 66 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=27): 67 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=17): 68 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=14): 69 [] -class_Ring__and__Field_Oidom(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(C,c_HOL_Ozero__class_Ozero(A),A),A).
% 159.80/159.95 ** KEPT (pick-wt=14): 70 [] -class_Ring__and__Field_Oidom(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),C,A),A).
% 159.80/159.95 ** KEPT (pick-wt=14): 71 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(D,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 159.80/159.95 ** KEPT (pick-wt=6): 72 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,B,A).
% 159.80/159.95 ** KEPT (pick-wt=12): 73 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=13): 74 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 159.80/159.95 Following clause subsumed by 74 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 159.80/159.95 Following clause subsumed by 74 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 159.80/159.95 ** KEPT (pick-wt=11): 75 [] A=B| -c_lesse_quals(B,A,tc_RealDef_Oreal)| -c_lesse_quals(A,B,tc_RealDef_Oreal).
% 159.80/159.95 ** KEPT (pick-wt=22): 76 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A).
% 159.80/159.95 ** KEPT (pick-wt=12): 77 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 159.80/159.95 ** KEPT (pick-wt=12): 78 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 159.80/159.95 ** KEPT (pick-wt=15): 80 [copy,79,flip.3] -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(C,B,A),B,A)=C.
% 159.80/159.95 Following clause subsumed by 80 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(C,B,A),B,A)=C.
% 159.80/159.95 Following clause subsumed by 80 during input processing: 0 [flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.95 Following clause subsumed by 80 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.95 ** KEPT (pick-wt=18): 81 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.80/159.95 ** KEPT (pick-wt=18): 82 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.80/159.95 ** KEPT (pick-wt=13): 83 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=23): 84 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=23): 85 [] -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).
% 159.80/159.95 ** KEPT (pick-wt=23): 86 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=12): 87 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=9): 88 [] -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).
% 159.80/159.96 Following clause subsumed by 88 during input processing: 0 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=15): 89 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=17): 90 [] -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).
% 159.80/159.96 Following clause subsumed by 90 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).
% 159.80/159.96 ** KEPT (pick-wt=17): 91 [] -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).
% 159.80/159.96 Following clause subsumed by 90 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).
% 159.80/159.96 ** KEPT (pick-wt=17): 92 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 159.80/159.96 ** KEPT (pick-wt=15): 93 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 159.80/159.96 ** KEPT (pick-wt=20): 94 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=20): 95 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=20): 96 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=20): 97 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=11): 98 [] -class_OrderedGroup_Oordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=B|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=15): 99 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Oinverse(B,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=15): 101 [copy,100,flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 159.80/159.96 Following clause subsumed by 101 during input processing: 0 [flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 159.80/159.96 ** KEPT (pick-wt=15): 103 [copy,102,flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 159.80/159.96 Following clause subsumed by 103 during input processing: 0 [flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 159.80/159.96 ** KEPT (pick-wt=15): 104 [] -class_Ring__and__Field_Oidom(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(B,A),A)=c_HOL_Otimes__class_Otimes(B,B,A).
% 159.80/159.96 ** KEPT (pick-wt=15): 105 [] -class_Ring__and__Field_Oring(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Otimes__class_Otimes(B,C,A).
% 159.80/159.96 ** KEPT (pick-wt=15): 106 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,A),B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=15): 107 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,A),B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=15): 108 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oinverse__class_Oinverse(B,A),A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=30): 109 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=30): 110 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=21): 111 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)=c_Divides_Odiv__class_Odiv(C,D,A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=21): 112 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)=c_Divides_Odiv__class_Odiv(B,D,A)|C=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=11): 113 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(B,A),A)=c_HOL_Osgn__class_Osgn(B,A).
% 159.80/159.96 ** KEPT (pick-wt=9): 114 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=13): 115 [] -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),A)=c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(B,A),A).
% 159.80/159.96 Following clause subsumed by 115 during input processing: 0 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),A)=c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(B,A),A).
% 159.80/159.96 ** KEPT (pick-wt=11): 116 [] c_lesse_quals(c_NthRoot_Osqrt(A),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(A,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.80/159.96 ** KEPT (pick-wt=11): 117 [] c_lesse_quals(A,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(c_NthRoot_Osqrt(A),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.80/159.96 ** KEPT (pick-wt=12): 119 [copy,118,flip.2] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Osgn__class_Osgn(B,A),A)=c_HOL_Oabs__class_Oabs(B,A).
% 159.80/159.96 ** KEPT (pick-wt=15): 120 [] c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal)!=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,B,tc_RealDef_Oreal),tc_RealDef_Oreal)|A=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.96 ** KEPT (pick-wt=15): 121 [] c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal)!=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,B,tc_RealDef_Oreal),tc_RealDef_Oreal)|B=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.96 ** KEPT (pick-wt=19): 122 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Oinverse__class_Odivide(B,C,A)|C=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=24): 123 [] -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(B,D,A),c_Divides_Odiv__class_Odiv(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(D,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(D,B,A).
% 159.80/159.96 ** KEPT (pick-wt=24): 124 [] -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(B,C,A),c_Divides_Odiv__class_Odiv(D,C,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(C,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,A).
% 159.80/159.96 ** KEPT (pick-wt=12): 125 [] -class_Ring__and__Field_Ocomm__ring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 159.80/159.96 ** KEPT (pick-wt=12): 126 [] -class_Ring__and__Field_Ocomm__ring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 159.80/159.96 ** KEPT (pick-wt=12): 127 [] -class_Ring__and__Field_Ocomm__ring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 159.80/159.96 ** KEPT (pick-wt=12): 128 [] -class_Ring__and__Field_Ocomm__ring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 159.80/159.96 ** KEPT (pick-wt=24): 129 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=24): 130 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=17): 131 [] c_lesse_quals(c_Log_Opowr(A,B),c_Log_Opowr(A,C),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),A,tc_RealDef_Oreal)| -c_lesse_quals(B,C,tc_RealDef_Oreal).
% 159.80/159.96 ** KEPT (pick-wt=13): 132 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=16): 133 [] c_lesse_quals(c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal),B,tc_RealDef_Oreal)| -c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 159.80/159.96 ** KEPT (pick-wt=18): 134 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(B,A),C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(B,C,A).
% 159.80/159.96 Following clause subsumed by 134 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(B,A),C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(B,C,A).
% 159.80/159.96 ** KEPT (pick-wt=11): 135 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(B,A),A)=c_HOL_Oabs__class_Oabs(B,A).
% 159.80/159.96 ** KEPT (pick-wt=20): 136 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=20): 137 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=20): 138 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=20): 139 [] -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).
% 159.80/159.96 Following clause subsumed by 138 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).
% 159.80/159.96 Following clause subsumed by 139 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).
% 159.80/159.96 Following clause subsumed by 139 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).
% 159.80/159.96 ** KEPT (pick-wt=19): 140 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oinverse__class_Oinverse(C,A),A).
% 159.80/159.96 ** KEPT (pick-wt=25): 141 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(C,A),c_HOL_Oinverse__class_Oinverse(B,A),A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=10): 142 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=11): 143 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.80/159.96 ** KEPT (pick-wt=13): 144 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(B,A),A)=B|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=14): 145 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Ouminus__class_Ouminus(B,A),A).
% 159.80/159.96 ** KEPT (pick-wt=14): 146 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Ouminus__class_Ouminus(B,A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.80/159.96 ** KEPT (pick-wt=17): 147 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.96 ** KEPT (pick-wt=17): 149 [copy,148,flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(C,D,A),A)=c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(B,C,A),D,A).
% 159.80/159.96 Following clause subsumed by 149 during input processing: 0 [flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(C,D,A),A)=c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(B,C,A),D,A).
% 159.80/159.96 ** KEPT (pick-wt=17): 151 [copy,150,flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(C,D,A),A)=c_HOL_Otimes__class_Otimes(C,c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 159.80/159.96 Following clause subsumed by 151 during input processing: 0 [flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_RealVector_OscaleR__class_OscaleR(C,c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Otimes__class_Otimes(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A).
% 159.80/159.96 ** KEPT (pick-wt=17): 153 [copy,152,flip.2] -class_RealVector_Oreal__algebra(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(C,D,A),A)=c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(B,C,A),D,A).
% 159.80/159.96 ** KEPT (pick-wt=17): 155 [copy,154,flip.2] -class_RealVector_Oreal__algebra(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(C,D,A),A)=c_HOL_Otimes__class_Otimes(C,c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 159.80/159.96 ** KEPT (pick-wt=17): 156 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(B,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(C,A),tc_RealDef_Oreal).
% 159.80/159.96 ** KEPT (pick-wt=17): 158 [copy,157,flip.2] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(B,A),A)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(B,A),A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=21): 159 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A)|C=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=14): 160 [] c_NthRoot_Osqrt(A)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal)|A=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.96 ** KEPT (pick-wt=12): 161 [] -class_Ring__and__Field_Oordered__idom(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(B,A),C,A),A).
% 159.80/159.96 ** KEPT (pick-wt=10): 162 [] c_lesse_quals(c_NthRoot_Osqrt(A),c_NthRoot_Osqrt(B),tc_RealDef_Oreal)| -c_lesse_quals(A,B,tc_RealDef_Oreal).
% 159.80/159.96 ** KEPT (pick-wt=10): 163 [] c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_lesse_quals(c_NthRoot_Osqrt(A),c_NthRoot_Osqrt(B),tc_RealDef_Oreal).
% 159.80/159.96 ** KEPT (pick-wt=17): 165 [copy,164,flip.2] -class_RealVector_Oreal__normed__field(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Oinverse__class_Odivide(C,D,A),A)=c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(B,C,A),D,A).
% 159.80/159.96 ** KEPT (pick-wt=20): 166 [] A=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,c_HOL_Oabs__class_Oabs(C,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.80/159.96 ** KEPT (pick-wt=16): 167 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Oinverse(B,A),A).
% 159.80/159.96 ** KEPT (pick-wt=16): 168 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Oinverse(B,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.80/159.96 ** KEPT (pick-wt=13): 169 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=9): 170 [] c_NthRoot_Osqrt(A)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|A=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.96 ** KEPT (pick-wt=15): 171 [] -class_Ring__and__Field_Oordered__idom(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.80/159.96 ** KEPT (pick-wt=15): 172 [] -class_Ring__and__Field_Oordered__semidom(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.80/159.96 ** KEPT (pick-wt=13): 173 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 159.80/159.96 ** KEPT (pick-wt=13): 174 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(B,A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.80/159.96 ** KEPT (pick-wt=13): 175 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),B,A).
% 159.80/159.96 ** KEPT (pick-wt=13): 176 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),B,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.80/159.96 ** KEPT (pick-wt=13): 177 [] -class_OrderedGroup_Oordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 159.80/159.96 ** KEPT (pick-wt=13): 178 [] -class_OrderedGroup_Oordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(B,A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.80/159.96 ** KEPT (pick-wt=13): 179 [] -class_OrderedGroup_Oordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),B,A).
% 159.80/159.96 ** KEPT (pick-wt=13): 180 [] -class_OrderedGroup_Oordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),B,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.80/159.96 ** KEPT (pick-wt=11): 181 [] -class_RealVector_Oreal__normed__algebra__1(A)|c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(B,A),A)=c_HOL_Oabs__class_Oabs(B,tc_RealDef_Oreal).
% 159.80/159.96 ** KEPT (pick-wt=15): 182 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,C,A),B,A)=C|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=17): 183 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=17): 184 [] -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).
% 159.80/159.96 Following clause subsumed by 184 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).
% 159.80/159.96 ** KEPT (pick-wt=10): 185 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=10): 186 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=19): 187 [] -class_Ring__and__Field_Oidom(A)|c_HOL_Otimes__class_Otimes(B,B,A)!=c_HOL_Otimes__class_Otimes(C,C,A)|B=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 159.80/159.96 ** KEPT (pick-wt=11): 188 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(A),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(A),B,A),A).
% 159.80/159.96 ** KEPT (pick-wt=12): 189 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(B,A),c_HOL_Oabs__class_Oabs(B,A),A)=B.
% 159.80/159.96 ** KEPT (pick-wt=16): 190 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oone__class_Oone(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.80/159.96 ** KEPT (pick-wt=18): 191 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=11): 192 [] -class_RealVector_Oreal__normed__vector(A)|c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(B,A),tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(B,A).
% 159.80/159.96 ** KEPT (pick-wt=18): 193 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 159.80/159.96 ** KEPT (pick-wt=18): 194 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A),A).
% 159.80/159.96 ** KEPT (pick-wt=22): 195 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(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).
% 159.80/159.96 ** KEPT (pick-wt=22): 196 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(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).
% 159.80/159.96 ** KEPT (pick-wt=15): 198 [copy,197,flip.2] -class_RealVector_Oreal__vector(A)|c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(B,C,A),A)=c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 159.80/159.96 ** KEPT (pick-wt=15): 200 [copy,199,flip.2] -class_RealVector_Oreal__normed__vector(A)|c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(B,C,A),A)=c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 159.80/159.96 ** KEPT (pick-wt=15): 202 [copy,201,flip.2] -class_RealVector_Oreal__vector(A)|c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(B,C,A),A)=c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),C,A).
% 159.80/159.96 Following clause subsumed by 202 during input processing: 0 [flip.2] -class_RealVector_Oreal__vector(A)|c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(B,C,A),A)=c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),C,A).
% 159.80/159.96 ** KEPT (pick-wt=15): 204 [copy,203,flip.2] -class_RealVector_Oreal__normed__vector(A)|c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(B,C,A),A)=c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),C,A).
% 159.80/159.96 ** KEPT (pick-wt=12): 205 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=11): 206 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(B,A),A),c_HOL_Ozero__class_Ozero(A),A).
% 159.80/159.96 ** KEPT (pick-wt=12): 207 [] -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(B,A)!=c_RealVector_Oof__real(C,A)|B=C.
% 159.80/159.96 ** KEPT (pick-wt=10): 208 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=14): 209 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(C,A),c_HOL_Ouminus__class_Ouminus(B,A),A).
% 159.80/159.96 ** KEPT (pick-wt=14): 210 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(C,B,A).
% 159.80/159.96 ** KEPT (pick-wt=18): 211 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=12): 212 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=10): 213 [] c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal),B,tc_RealDef_Oreal).
% 159.80/159.96 ** KEPT (pick-wt=11): 214 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Oinverse(B,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A).
% 159.80/159.96 Following clause subsumed by 214 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|c_HOL_Oinverse__class_Oinverse(B,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A).
% 159.80/159.96 ** KEPT (pick-wt=13): 215 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=9): 216 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(C,B,A),A).
% 159.80/159.96 ** KEPT (pick-wt=9): 217 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(B,C,A),A).
% 159.80/159.96 ** KEPT (pick-wt=9): 218 [] -class_Ring__and__Field_Odvd(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(B,C,A),A).
% 159.80/159.96 ** KEPT (pick-wt=21): 220 [copy,219,flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A),C,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),c_Power_Opower__class_Opower(B,C,A),A).
% 159.80/159.96 ** KEPT (pick-wt=19): 221 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(B,c_HOL_Ouminus__class_Ouminus(C,A),A)|C=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=11): 222 [] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(B,A),A)=B.
% 159.80/159.96 ** KEPT (pick-wt=11): 223 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,C,A)=c_HOL_Otimes__class_Otimes(C,B,A).
% 159.80/159.96 Following clause subsumed by 223 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).
% 159.80/159.96 ** KEPT (pick-wt=9): 224 [] -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).
% 159.80/159.96 ** KEPT (pick-wt=13): 225 [] -class_RealVector_Oreal__algebra__1(A)|c_RealVector_OscaleR__class_OscaleR(B,C,A)=c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(B,A),C,A).
% 159.80/159.96 ** KEPT (pick-wt=12): 226 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Ouminus__class_Ouminus(B,A)|c_HOL_Ozero__class_Ozero(A)=B.
% 159.80/159.96 ** KEPT (pick-wt=13): 227 [] -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A).
% 159.80/159.96 Following clause subsumed by 227 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 Following clause subsumed by 227 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=22): 228 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(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_Oinverse__class_Odivide(C,B,A),A).
% 159.80/159.96 ** KEPT (pick-wt=22): 229 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(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_Oinverse__class_Odivide(B,C,A),A).
% 159.80/159.96 ** KEPT (pick-wt=22): 230 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(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_Oinverse__class_Odivide(C,B,A),A).
% 159.80/159.96 ** KEPT (pick-wt=22): 231 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(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_Oinverse__class_Odivide(B,C,A),A).
% 159.80/159.96 ** KEPT (pick-wt=21): 232 [] -class_Ring__and__Field_Oordered__semidom(A)|c_lesse_quals(c_Power_Opower__class_Opower(B,C,A),c_Power_Opower__class_Opower(D,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(B,D,A).
% 159.80/159.96 ** KEPT (pick-wt=21): 233 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Oone__class_Oone(A),B,A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oone__class_Oone(A),A).
% 159.80/159.96 ** KEPT (pick-wt=19): 234 [] -class_Ring__and__Field_Oordered__idom(A)|B=c_HOL_Ozero__class_Ozero(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_Power_Opower__class_Opower(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.80/159.96 ** KEPT (pick-wt=17): 235 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Oinverse__class_Odivide(B,C,A).
% 159.80/159.96 ** KEPT (pick-wt=15): 237 [copy,236,flip.2] -class_RealVector_Oreal__normed__field(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 159.80/159.96 ** KEPT (pick-wt=17): 239 [copy,238,flip.2] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Otimes__class_Otimes(B,C,tc_RealDef_Oreal),D,A)=c_RealVector_OscaleR__class_OscaleR(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A).
% 159.80/159.96 ** KEPT (pick-wt=10): 240 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=10): 241 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=10): 242 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=10): 243 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=10): 244 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=12): 245 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 Following clause subsumed by 245 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=10): 246 [] -class_RealVector_Oreal__normed__field(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=16): 247 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.80/159.96 ** KEPT (pick-wt=16): 248 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.80/159.96 ** KEPT (pick-wt=21): 249 [] -class_Divides_Osemiring__div(A)|c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,A),D,A)=c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(B,D,A),C,A)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,A).
% 159.80/159.96 ** KEPT (pick-wt=11): 250 [] c_lesse_quals(A,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(c_NthRoot_Osqrt(A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.80/159.96 ** KEPT (pick-wt=11): 251 [] c_lesse_quals(c_NthRoot_Osqrt(A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(A,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.80/159.96 ** KEPT (pick-wt=15): 252 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(B,C,A),A)=c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(B,A),C,A).
% 159.80/159.96 ** KEPT (pick-wt=16): 253 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(B,C,A),c_Power_Opower__class_Opower(D,C,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 159.80/159.96 ** KEPT (pick-wt=15): 255 [copy,254,flip.3] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(B,A),A)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(B,A),A).
% 159.80/159.96 ** KEPT (pick-wt=19): 256 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A).
% 159.80/159.96 ** KEPT (pick-wt=12): 257 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Osgn__class_Osgn(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=12): 258 [] -class_RealVector_Oreal__normed__vector(A)|c_HOL_Osgn__class_Osgn(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=23): 259 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)=c_HOL_Oinverse__class_Odivide(B,D,A)|C=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=23): 260 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Oinverse__class_Odivide(C,D,A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.96 ** KEPT (pick-wt=19): 261 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,D,A),C,A).
% 159.80/159.96 ** KEPT (pick-wt=15): 262 [] -class_Divides_Osemiring__div(A)|c_HOL_Otimes__class_Otimes(B,c_Divides_Odiv__class_Odiv(C,B,A),A)=C| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 159.80/159.96 ** KEPT (pick-wt=15): 263 [] -class_Divides_Osemiring__div(A)|c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,A),C,A)=B| -c_Ring__and__Field_Odvd__class_Odvd(C,B,A).
% 159.80/159.96 ** KEPT (pick-wt=14): 265 [copy,264,flip.2] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Ouminus__class_Ouminus(B,A)=c_HOL_Oabs__class_Oabs(B,A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.80/159.96 ** KEPT (pick-wt=20): 266 [] -class_Ring__and__Field_Oidom(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)|D=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 159.80/159.96 ** KEPT (pick-wt=20): 267 [] -class_Ring__and__Field_Oidom(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)|D=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(D,B,A),c_HOL_Otimes__class_Otimes(D,C,A),A).
% 159.80/159.96 ** KEPT (pick-wt=30): 268 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(B,c_HOL_Oinverse__class_Odivide(C,D,A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(C,c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(B,D,A),C,A).
% 159.80/159.96 ** KEPT (pick-wt=30): 269 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(D,C,A),B,A)| -c_lesse_quals(B,c_HOL_Otimes__class_Otimes(D,C,A),A).
% 159.80/159.96 ** KEPT (pick-wt=9): 270 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 159.80/159.96 Following clause subsumed by 270 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 159.80/159.96 Following clause subsumed by 270 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 159.80/159.96 ** KEPT (pick-wt=9): 271 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 159.80/159.97 Following clause subsumed by 270 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 159.80/159.97 ** KEPT (pick-wt=14): 272 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 159.80/159.97 Following clause subsumed by 272 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 159.80/159.97 ** KEPT (pick-wt=14): 273 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 159.80/159.97 Following clause subsumed by 273 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 159.80/159.97 ** KEPT (pick-wt=12): 274 [] c_Transcendental_Osin(A)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(A),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.97 ** KEPT (pick-wt=16): 275 [] -class_Ring__and__Field_Oidom(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(C,D,A).
% 159.80/159.97 ** KEPT (pick-wt=16): 276 [] -class_Ring__and__Field_Oidom(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 159.80/159.97 ** KEPT (pick-wt=15): 277 [] -class_Ring__and__Field_Oordered__semidom(A)|c_lesse_quals(c_HOL_Oone__class_Oone(A),c_Power_Opower__class_Opower(B,C,A),A)| -c_lesse_quals(c_HOL_Oone__class_Oone(A),B,A).
% 159.80/159.97 ** KEPT (pick-wt=11): 278 [] -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).
% 159.80/159.97 ** KEPT (pick-wt=11): 279 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(B,A),A)=c_RealVector_Onorm__class_Onorm(B,A).
% 159.80/159.97 ** KEPT (pick-wt=17): 280 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A)=c_RealVector_OscaleR__class_OscaleR(C,c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 159.80/159.97 ** KEPT (pick-wt=17): 281 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A)=c_RealVector_OscaleR__class_OscaleR(C,c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 159.80/159.97 Following clause subsumed by 280 during input processing: 0 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A)=c_RealVector_OscaleR__class_OscaleR(C,c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 159.80/159.97 ** KEPT (pick-wt=22): 282 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(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_Oinverse__class_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.80/159.97 ** KEPT (pick-wt=22): 283 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(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_Oinverse__class_Odivide(C,B,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.80/159.97 ** KEPT (pick-wt=22): 284 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(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_Oinverse__class_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.80/159.97 ** KEPT (pick-wt=22): 285 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(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_Oinverse__class_Odivide(C,B,A),c_HOL_Ozero__class_Ozero(A),A).
% 159.80/159.97 ** KEPT (pick-wt=9): 286 [] -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).
% 159.80/159.97 ** KEPT (pick-wt=22): 287 [] -class_Ring__and__Field_Oring__1(A)|c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(B,A),C,A)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(A),A),C,A),c_Power_Opower__class_Opower(B,C,A),A).
% 159.80/159.97 ** KEPT (pick-wt=17): 288 [] -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).
% 159.80/159.97 ** KEPT (pick-wt=17): 289 [] -class_OrderedGroup_Omonoid__mult(A)|c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(B,C,A),B,A)=c_HOL_Otimes__class_Otimes(B,c_Power_Opower__class_Opower(B,C,A),A).
% 159.80/159.97 ** KEPT (pick-wt=16): 290 [] 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.
% 159.80/159.97 ** KEPT (pick-wt=16): 291 [] 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.
% 159.80/159.97 ** KEPT (pick-wt=16): 292 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Oone__class_Oone(A),A)| -c_lesse_quals(c_HOL_Oone__class_Oone(A),B,A).
% 159.80/159.97 ** KEPT (pick-wt=10): 293 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Oabs__class_Oabs(B,A),A).
% 159.80/159.97 ** KEPT (pick-wt=8): 294 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(B,c_HOL_Oabs__class_Oabs(B,A),A).
% 159.80/159.97 ** KEPT (pick-wt=15): 296 [copy,295,flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.97 ** KEPT (pick-wt=6): 297 [] c_Log_Opowr(A,B)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.97 ** KEPT (pick-wt=24): 298 [] -class_Divides_Osemiring__div(A)|c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(B,C,A),D,A)=c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,A).
% 159.80/159.97 ** KEPT (pick-wt=15): 299 [] -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).
% 159.80/159.97 ** KEPT (pick-wt=19): 300 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(B,C,A),A)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(B,A),C,A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.97 ** KEPT (pick-wt=17): 302 [copy,301,flip.2] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(B,A),A)=c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(B,A),A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.97 ** KEPT (pick-wt=7): 303 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Ozero__class_Ozero(A),A).
% 159.80/159.97 ** KEPT (pick-wt=11): 304 [] c_lesse_quals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(A),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 159.80/159.97 ** KEPT (pick-wt=11): 305 [] c_lesse_quals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),A,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(A),tc_RealDef_Oreal).
% 159.80/159.97 Following clause subsumed by 304 during input processing: 0 [] c_lesse_quals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(A),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 159.80/159.97 ** KEPT (pick-wt=17): 307 [copy,306,flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.97 Following clause subsumed by 307 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.97 ** KEPT (pick-wt=8): 308 [] -class_Ring__and__Field_Oordered__semidom(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oone__class_Oone(A),A).
% 159.80/159.97 ** KEPT (pick-wt=10): 309 [] -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).
% 159.80/159.97 ** KEPT (pick-wt=10): 310 [] -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).
% 159.80/159.97 ** KEPT (pick-wt=10): 311 [] -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).
% 159.80/159.97 Following clause subsumed by 311 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).
% 159.80/159.97 ** KEPT (pick-wt=10): 312 [] -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).
% 159.80/159.97 Following clause subsumed by 312 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).
% 159.80/159.97 Following clause subsumed by 309 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).
% 159.80/159.97 ** KEPT (pick-wt=10): 313 [] -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).
% 159.80/159.97 ** KEPT (pick-wt=10): 314 [] -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).
% 159.80/159.97 ** KEPT (pick-wt=10): 315 [] -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).
% 159.80/159.97 ** KEPT (pick-wt=10): 316 [] -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).
% 159.80/159.97 ** KEPT (pick-wt=17): 317 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(B,A),C,A),A)=c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(B,C,A),A).
% 159.80/159.97 ** KEPT (pick-wt=9): 318 [] -class_Ring__and__Field_Osemiring__1(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_Int_Oiszero(B,A).
% 159.80/159.97 ** KEPT (pick-wt=20): 320 [copy,319,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).
% 159.80/159.97 ** KEPT (pick-wt=16): 321 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(B,c_HOL_Oone__class_Oone(A),A)| -c_lesse_quals(c_HOL_Oone__class_Oone(A),c_HOL_Oinverse__class_Oinverse(B,A),A).
% 159.80/159.97 ** KEPT (pick-wt=12): 322 [] -class_Ring__and__Field_Oordered__idom(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(B,A),C,A).
% 159.80/159.97 ** KEPT (pick-wt=12): 323 [] -class_Ring__and__Field_Oordered__idom(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(B,A),C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 159.80/159.97 ** KEPT (pick-wt=12): 324 [] -class_Ring__and__Field_Oordered__idom(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oabs__class_Oabs(C,A),A).
% 159.80/159.97 ** KEPT (pick-wt=12): 325 [] -class_Ring__and__Field_Oordered__idom(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oabs__class_Oabs(C,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 159.80/159.97 ** KEPT (pick-wt=8): 326 [] -class_Ring__and__Field_Oordered__semidom(A)| -c_lesse_quals(c_HOL_Oone__class_Oone(A),c_HOL_Ozero__class_Ozero(A),A).
% 159.80/159.97 ** KEPT (pick-wt=22): 327 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(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).
% 159.80/159.97 ** KEPT (pick-wt=22): 328 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(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).
% 159.80/159.97 ** KEPT (pick-wt=9): 329 [] -class_RealVector_Oreal__normed__vector(A)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.97 ** KEPT (pick-wt=9): 330 [] -class_Ring__and__Field_Osgn__if(A)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.97 ** KEPT (pick-wt=9): 331 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.97 ** KEPT (pick-wt=9): 333 [copy,332,flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.97 ** KEPT (pick-wt=14): 334 [] -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.97 ** KEPT (pick-wt=12): 335 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Oinverse__class_Oinverse(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.97 ** KEPT (pick-wt=15): 336 [] -class_Ring__and__Field_Oring(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 159.80/159.97 Following clause subsumed by 333 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.97 ** KEPT (pick-wt=9): 337 [] -class_OrderedGroup_Oordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.97 ** KEPT (pick-wt=13): 339 [copy,338,flip.2] -class_Ring__and__Field_Ofield(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oinverse__class_Oinverse(C,A),A)=c_HOL_Oinverse__class_Odivide(B,C,A).
% 159.80/159.97 Following clause subsumed by 339 during input processing: 0 [flip.3] -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oinverse__class_Oinverse(C,A),A)=c_HOL_Oinverse__class_Odivide(B,C,A).
% 159.80/159.97 ** KEPT (pick-wt=6): 340 [] -class_Ring__and__Field_Osemiring__1(A)|c_Int_Oiszero(c_HOL_Ozero__class_Ozero(A),A).
% 159.80/159.97 ** KEPT (pick-wt=24): 341 [] -class_Ring__and__Field_Ofield(A)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A)|C=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.97 ** KEPT (pick-wt=20): 342 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(C,E,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 159.80/159.97 ** KEPT (pick-wt=12): 343 [] -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).
% 159.80/159.97 ** KEPT (pick-wt=6): 344 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 159.80/159.97 ** KEPT (pick-wt=6): 345 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 159.80/159.97 ** KEPT (pick-wt=12): 346 [] c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_lesse_quals(C,B,tc_RealDef_Oreal)| -c_lesse_quals(A,C,tc_RealDef_Oreal).
% 159.80/159.97 ** KEPT (pick-wt=14): 347 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 159.80/159.97 ** KEPT (pick-wt=14): 348 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 159.80/159.97 ** KEPT (pick-wt=13): 349 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,A)=c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),C,A).
% 159.80/159.98 ** KEPT (pick-wt=13): 350 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ozero__class_Ozero(A),A)=c_RealVector_OscaleR__class_OscaleR(C,c_HOL_Ozero__class_Ozero(A),A).
% 159.80/159.98 ** KEPT (pick-wt=22): 351 [] -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).
% 159.80/159.98 ** KEPT (pick-wt=18): 352 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,C,A)!=c_RealVector_OscaleR__class_OscaleR(B,D,A)|B=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|C=D.
% 159.80/159.98 ** KEPT (pick-wt=18): 353 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,C,A)!=c_RealVector_OscaleR__class_OscaleR(D,C,A)|C=c_HOL_Ozero__class_Ozero(A)|B=D.
% 159.80/159.98 Following clause subsumed by 245 during input processing: 0 [flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.98 ** KEPT (pick-wt=28): 354 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,C,A)!=c_HOL_Oinverse__class_Odivide(D,E,A)|E=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A)|c_HOL_Otimes__class_Otimes(B,E,A)=c_HOL_Otimes__class_Otimes(D,C,A).
% 159.80/159.98 ** KEPT (pick-wt=28): 355 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Otimes__class_Otimes(D,E,A)|C=c_HOL_Ozero__class_Ozero(A)|E=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(B,E,A)=c_HOL_Oinverse__class_Odivide(D,C,A).
% 159.80/159.98 ** KEPT (pick-wt=11): 356 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(A),A),A)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=17): 357 [] -class_RealVector_Oreal__normed__div__algebra(A)|c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(B,A),c_HOL_Osgn__class_Osgn(C,A),A).
% 159.80/159.98 ** KEPT (pick-wt=17): 358 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(B,A),c_HOL_Osgn__class_Osgn(C,A),A).
% 159.80/159.98 ** KEPT (pick-wt=9): 359 [] -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).
% 159.80/159.98 Following clause subsumed by 296 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 159.80/159.98 ** KEPT (pick-wt=13): 360 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oabs__class_Oabs(B,A)!=c_HOL_Oabs__class_Oabs(C,A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 159.80/159.98 ** KEPT (pick-wt=10): 361 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 159.80/159.98 ** KEPT (pick-wt=6): 362 [] -class_Ring__and__Field_Osemiring__1(A)| -c_Int_Oiszero(c_HOL_Oone__class_Oone(A),A).
% 159.80/159.98 ** KEPT (pick-wt=9): 363 [] -class_Ring__and__Field_Odivision__ring(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(A),A)=c_HOL_Oone__class_Oone(A).
% 159.80/159.98 ** KEPT (pick-wt=11): 364 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(A),A)=c_HOL_Oone__class_Oone(A).
% 159.80/159.98 ** KEPT (pick-wt=10): 365 [] c_Transcendental_Ocos(A)!=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|c_Transcendental_Osin(A)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=10): 366 [] -class_OrderedGroup_Omonoid__mult(A)|c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(A),B,A)=c_HOL_Oone__class_Oone(A).
% 159.80/159.98 ** KEPT (pick-wt=7): 367 [] -class_Ring__and__Field_Ozero__ne_q__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 159.80/159.98 ** KEPT (pick-wt=5): 368 [] c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)!=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=9): 369 [] -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).
% 159.80/159.98 ** KEPT (pick-wt=9): 370 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Oone__class_Oone(A),A)=B.
% 159.80/159.98 ** KEPT (pick-wt=9): 371 [] -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).
% 159.80/159.98 ** KEPT (pick-wt=9): 372 [] -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).
% 159.80/159.98 ** KEPT (pick-wt=9): 373 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),B,A)=B.
% 159.80/159.98 ** KEPT (pick-wt=7): 374 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(A),B,A).
% 159.80/159.98 Following clause subsumed by 367 during input processing: 0 [flip.2] -class_Ring__and__Field_Ozero__ne_q__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 159.80/159.98 ** KEPT (pick-wt=9): 375 [] c_NthRoot_Osqrt(A)!=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|A=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=9): 376 [] -class_OrderedGroup_Omonoid__mult(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oone__class_Oone(A),A)=B.
% 159.80/159.98 ** KEPT (pick-wt=9): 377 [] -class_OrderedGroup_Omonoid__mult(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 159.80/159.98 ** KEPT (pick-wt=9): 378 [] -class_OrderedGroup_Ocomm__monoid__mult(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 159.80/159.98 ** KEPT (pick-wt=9): 379 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 159.80/159.98 ** KEPT (pick-wt=9): 380 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oone__class_Oone(A),A)=B.
% 159.80/159.98 Following clause subsumed by 379 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.
% 159.80/159.98 ** KEPT (pick-wt=9): 381 [] -class_RealVector_Oreal__normed__algebra__1(A)|c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(A),A)=c_HOL_Oone__class_Oone(A).
% 159.80/159.98 ** KEPT (pick-wt=14): 382 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(B,A)!=c_HOL_Oone__class_Oone(A)|B=c_HOL_Oone__class_Oone(A).
% 159.80/159.98 ** KEPT (pick-wt=9): 383 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(B,c_HOL_Oone__class_Oone(A),A)=B.
% 159.80/159.98 90 back subsumes 85.
% 159.80/159.98 91 back subsumes 84.
% 159.80/159.98 170 back subsumes 160.
% 159.80/159.98 214 back subsumes 99.
% 159.80/159.98 244 back subsumes 132.
% 159.80/159.98 ** KEPT (pick-wt=6): 445 [copy,297,flip.1] c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)!=c_Log_Opowr(A,B).
% 159.80/159.98 335 back subsumes 334.
% 159.80/159.98 374 back subsumes 188.
% 159.80/159.98 415 back subsumes 414.
% 159.80/159.98 Following clause subsumed by 297 during input processing: 0 [copy,445,flip.1] c_Log_Opowr(A,B)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.98
% 159.80/159.98 ------------> process sos:
% 159.80/159.98 ** KEPT (pick-wt=3): 457 [] A=A.
% 159.80/159.98 ** KEPT (pick-wt=15): 458 [] 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).
% 159.80/159.98 ---> New Demodulator: 459 [new_demod,458] 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).
% 159.80/159.98 ** KEPT (pick-wt=6): 460 [] c_lesse_quals(c_Transcendental_Osin(A),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=6): 461 [] c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.98 ---> New Demodulator: 462 [new_demod,461] c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=6): 463 [] c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.98 ---> New Demodulator: 464 [new_demod,463] c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=9): 465 [] c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal))=c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(A),tc_RealDef_Oreal).
% 159.80/159.98 ---> New Demodulator: 466 [new_demod,465] c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal))=c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(A),tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=8): 467 [] c_lesse_quals(c_HOL_Oabs__class_Oabs(c_Transcendental_Osin(A),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=11): 468 [] c_Log_Opowr(c_Log_Opowr(A,B),C)=c_Log_Opowr(c_Log_Opowr(A,C),B).
% 159.80/159.98 ** KEPT (pick-wt=9): 469 [] c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(B,A,tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=12): 470 [] c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal))=c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(A),c_NthRoot_Osqrt(B),tc_RealDef_Oreal).
% 159.80/159.98 ---> New Demodulator: 471 [new_demod,470] c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal))=c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(A),c_NthRoot_Osqrt(B),tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=12): 472 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,B,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=5): 473 [] c_Fun_Oid(A,B)=A.
% 159.80/159.98 ---> New Demodulator: 474 [new_demod,473] c_Fun_Oid(A,B)=A.
% 159.80/159.98 ** KEPT (pick-wt=9): 475 [] c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal))=c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(A),tc_RealDef_Oreal).
% 159.80/159.98 ---> New Demodulator: 476 [new_demod,475] c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal))=c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(A),tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=7): 477 [] c_Log_Opowr(A,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.98 ---> New Demodulator: 478 [new_demod,477] c_Log_Opowr(A,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=12): 479 [] c_Log_Opowr(c_Log_Opowr(A,B),C)=c_Log_Opowr(A,c_HOL_Otimes__class_Otimes(B,C,tc_RealDef_Oreal)).
% 159.80/159.98 ---> New Demodulator: 480 [new_demod,479] c_Log_Opowr(c_Log_Opowr(A,B),C)=c_Log_Opowr(A,c_HOL_Otimes__class_Otimes(B,C,tc_RealDef_Oreal)).
% 159.80/159.98 ** KEPT (pick-wt=7): 481 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(A,B),tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=10): 483 [copy,482,demod,471] c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(A),c_NthRoot_Osqrt(A),tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal).
% 159.80/159.98 ---> New Demodulator: 484 [new_demod,483] c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(A),c_NthRoot_Osqrt(A),tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=4): 485 [] c_lesse_quals(A,A,tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=13): 486 [] c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.98 ---> New Demodulator: 487 [new_demod,486] c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=8): 488 [] c_lesse_quals(A,B,tc_RealDef_Oreal)|c_lesse_quals(B,A,tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=7): 489 [] c_Log_Opowr(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),A)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.98 ---> New Demodulator: 490 [new_demod,489] c_Log_Opowr(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),A)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=6): 491 [] c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal))=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.98 ---> New Demodulator: 492 [new_demod,491] c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal))=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=7): 493 [] c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal))=c_Transcendental_Ocos(A).
% 159.80/159.98 ---> New Demodulator: 494 [new_demod,493] c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal))=c_Transcendental_Ocos(A).
% 159.80/159.98 ** KEPT (pick-wt=6): 495 [] c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.98 ---> New Demodulator: 496 [new_demod,495] c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=8): 497 [] c_lesse_quals(c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(A),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=6): 498 [] c_lesse_quals(c_Transcendental_Ocos(A),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 159.80/159.98 Following clause subsumed by 457 during input processing: 0 [demod,474] v_x=v_x.
% 159.80/159.98 ** KEPT (pick-wt=7): 499 [] c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),A,tc_RealDef_Oreal)=A.
% 159.80/159.98 ---> New Demodulator: 500 [new_demod,499] c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),A,tc_RealDef_Oreal)=A.
% 159.80/159.98 Following clause subsumed by 457 during input processing: 0 [demod,500] c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=3): 501 [] v_x=c_Transcendental_Opi.
% 159.80/159.98 ---> New Demodulator: 502 [new_demod,501] v_x=c_Transcendental_Opi.
% 159.80/159.98 ** KEPT (pick-wt=5): 504 [copy,503,demod,502] c_Transcendental_Ocos(c_Transcendental_Opi)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.98 ---> New Demodulator: 505 [new_demod,504] c_Transcendental_Ocos(c_Transcendental_Opi)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 506 [] class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 507 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 508 [] class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 509 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 510 [] class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 511 [] class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 512 [] class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 513 [] class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 514 [] class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 515 [] class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 516 [] class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 517 [] class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 518 [] class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 519 [] class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 520 [] class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 521 [] class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 522 [] class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 523 [] class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 524 [] class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 525 [] class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 526 [] class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 527 [] class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 528 [] class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal).
% 159.80/159.98 ** KEPT (pick-wt=2): 529 [] class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 530 [] class_RealVector_Oreal__normed__field(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 531 [] class_Ring__and__Field_Ozero__ne_q__one(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 532 [] class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 533 [] class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 534 [] class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 535 [] class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 536 [] class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 537 [] class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 538 [] class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 539 [] class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 540 [] class_RealVector_Oreal__algebra(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 541 [] class_RealVector_Oreal__vector(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 542 [] class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 543 [] class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 544 [] class_Ring__and__Field_Oring__1(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 545 [] class_Ring__and__Field_Ofield(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 546 [] class_Ring__and__Field_Oring(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 547 [] class_Ring__and__Field_Oidom(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 548 [] class_Ring__and__Field_Odvd(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 549 [] class_Orderings_Opreorder(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 550 [] class_Orderings_Olinorder(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 551 [] class_Orderings_Oorder(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 552 [] class_Int_Onumber__ring(tc_RealDef_Oreal).
% 160.13/160.22 ** KEPT (pick-wt=2): 553 [] class_Power_Opower(tc_RealDef_Oreal).
% 160.13/160.22 Following clause subsumed by 457 during input processing: 0 [copy,457,flip.1] A=A.
% 160.13/160.22 457 back subsumes 406.
% 160.13/160.22 457 back subsumes 405.
% 160.13/160.22 457 back subsumes 392.
% 160.13/160.22 457 back subsumes 391.
% 160.13/160.22 457 back subsumes 390.
% 160.13/160.22 457 back subsumes 384.
% 160.13/160.22 >>>> Starting back demodulation with 459.
% 160.13/160.22 >>>> Starting back demodulation with 462.
% 160.13/160.22 >>>> Starting back demodulation with 464.
% 160.13/160.22 >>>> Starting back demodulation with 466.
% 160.13/160.22 ** KEPT (pick-wt=13): 554 [copy,468,flip.1,demod,480,480] c_Log_Opowr(A,c_HOL_Otimes__class_Otimes(B,C,tc_RealDef_Oreal))=c_Log_Opowr(A,c_HOL_Otimes__class_Otimes(C,B,tc_RealDef_Oreal)).
% 160.13/160.22 Following clause subsumed by 469 during input processing: 0 [copy,469,flip.1] c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(B,A,tc_RealDef_Oreal).
% 160.13/160.22 >>>> Starting back demodulation with 471.
% 160.13/160.22 >>>> Starting back demodulation with 474.
% 160.13/160.22 >>>> Starting back demodulation with 476.
% 160.13/160.22 >>>> Starting back demodulation with 478.
% 160.13/160.22 >>>> Starting back demodulation with 480.
% 160.13/160.22 >> back demodulating 468 with 480.
% 160.13/160.22 >>>> Starting back demodulation with 484.
% 160.13/160.22 >>>> Starting back demodulation with 487.
% 160.13/160.22 >>>> Starting back demodulation with 490.
% 160.13/160.22 >>>> Starting back demodulation with 492.
% 160.13/160.22 >>>> Starting back demodulation with 494.
% 160.13/160.22 >>>> Starting back demodulation with 496.
% 160.13/160.22 >>>> Starting back demodulation with 500.
% 160.13/160.22 >>>> Starting back demodulation with 502.
% 160.13/160.22 >>>> Starting back demodulation with 505.
% 160.13/160.22 Following clause subsumed by 554 during input processing: 0 [copy,554,flip.1] c_Log_Opowr(A,c_HOL_Otimes__class_Otimes(B,C,tc_RealDef_Oreal))=c_Log_Opowr(A,c_HOL_Otimes__class_Otimes(C,B,tc_RealDef_Oreal)).
% 160.13/160.22
% 160.13/160.22 ======= end of input processing =======
% 160.13/160.22
% 160.13/160.22 =========== start of search ===========
% 160.13/160.22
% 160.13/160.22
% 160.13/160.22 Resetting weight limit to 2.
% 160.13/160.22
% 160.13/160.22
% 160.13/160.22 Resetting weight limit to 2.
% 160.13/160.22
% 160.13/160.22 sos_size=76
% 160.13/160.22
% 160.13/160.22 Search stopped because sos empty.
% 160.13/160.22
% 160.13/160.22
% 160.13/160.22 Search stopped because sos empty.
% 160.13/160.22
% 160.13/160.22 ============ end of search ============
% 160.13/160.22
% 160.13/160.22 -------------- statistics -------------
% 160.13/160.22 clauses given 77
% 160.13/160.22 clauses generated 20429
% 160.13/160.22 clauses kept 505
% 160.13/160.22 clauses forward subsumed 95
% 160.13/160.22 clauses back subsumed 14
% 160.13/160.22 Kbytes malloced 6835
% 160.13/160.22
% 160.13/160.22 ----------- times (seconds) -----------
% 160.13/160.22 user CPU time 0.29 (0 hr, 0 min, 0 sec)
% 160.13/160.22 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 160.13/160.22 wall-clock time 160 (0 hr, 2 min, 40 sec)
% 160.13/160.22
% 160.13/160.22 Process 28939 finished Wed Jul 27 06:21:15 2022
% 160.13/160.22 Otter interrupted
% 160.13/160.22 PROOF NOT FOUND
%------------------------------------------------------------------------------