TSTP Solution File: ALG381-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : ALG381-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 12:46:36 EDT 2022
% Result : Unknown 165.55s 165.66s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG381-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 03:43:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 164.55/164.62 ----- Otter 3.3f, August 2004 -----
% 164.55/164.62 The process was started by sandbox2 on n011.cluster.edu,
% 164.55/164.62 Wed Jul 27 03:43:10 2022
% 164.55/164.62 The command was "./otter". The process ID is 6960.
% 164.55/164.62
% 164.55/164.62 set(prolog_style_variables).
% 164.55/164.62 set(auto).
% 164.55/164.62 dependent: set(auto1).
% 164.55/164.62 dependent: set(process_input).
% 164.55/164.62 dependent: clear(print_kept).
% 164.55/164.62 dependent: clear(print_new_demod).
% 164.55/164.62 dependent: clear(print_back_demod).
% 164.55/164.62 dependent: clear(print_back_sub).
% 164.55/164.62 dependent: set(control_memory).
% 164.55/164.62 dependent: assign(max_mem, 12000).
% 164.55/164.62 dependent: assign(pick_given_ratio, 4).
% 164.55/164.62 dependent: assign(stats_level, 1).
% 164.55/164.62 dependent: assign(max_seconds, 10800).
% 164.55/164.62 clear(print_given).
% 164.55/164.62
% 164.55/164.62 list(usable).
% 164.55/164.62 0 [] A=A.
% 164.55/164.62 0 [] c_Transcendental_Otan(V_x)=c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(V_x),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal).
% 164.55/164.62 0 [] -class_RealVector_Oreal__field(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a),V_h,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),V_h,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),V_h,T_a),V_d,T_a),T_a).
% 164.55/164.62 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)|V_z=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.62 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oplus__class_Oplus(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.62 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)|V_z=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 0 [] c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal))=c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal).
% 164.55/164.62 0 [] c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_r,V_a,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_r,V_r,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oinverse__class_Odivide(V_a,V_r,tc_RealDef_Oreal).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 0 [] -class_RealVector_Oreal__normed__field(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a).
% 164.55/164.62 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 0 [] -class_Ring__and__Field_Odivision__by__zero(T_a)| -class_RealVector_Oreal__normed__field(T_a)|c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal).
% 164.55/164.62 0 [] -class_RealVector_Oreal__normed__field(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a).
% 164.55/164.62 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a).
% 164.55/164.62 0 [] -class_RealVector_Oreal__normed__field(T_a)|c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.62 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.
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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.
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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.
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)|c_lesse_quals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.62 0 [] c_lesse_quals(V_y,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.62 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)| -c_lesse_quals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.62 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(V_y,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).
% 164.55/164.62 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal).
% 164.55/164.62 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(V_y,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal).
% 164.55/164.62 0 [] c_HOL_Ominus__class_Ominus(hAPP(V_f,V_a),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(V_f,V_b),hAPP(V_f,V_a),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(V_b,V_a,tc_RealDef_Oreal),tc_RealDef_Oreal),V_a,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ominus__class_Ominus(hAPP(V_f,V_b),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(V_f,V_b),hAPP(V_f,V_a),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(V_b,V_a,tc_RealDef_Oreal),tc_RealDef_Oreal),V_b,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.62 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 164.55/164.62 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 164.55/164.62 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a).
% 164.55/164.62 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 164.55/164.62 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 164.55/164.62 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.62 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|V_x!=c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.62 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a)=V_a.
% 164.55/164.62 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.62 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ominus__class_Ominus(V_c,V_d,T_a),T_a).
% 164.55/164.62 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a).
% 164.55/164.62 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b_H,T_a),T_a).
% 164.55/164.62 0 [] -class_OrderedGroup_Omonoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a.
% 164.55/164.62 0 [] -class_OrderedGroup_Omonoid__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=V_a.
% 164.55/164.62 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a.
% 164.55/164.62 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|V_x=c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 164.55/164.62 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)=V_x.
% 164.55/164.62 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=V_a.
% 164.55/164.62 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a.
% 164.55/164.62 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=V_a.
% 164.55/164.62 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a)=V_a.
% 164.55/164.62 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 164.55/164.62 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 0 [] c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(V_x),c_Transcendental_Otan(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal)|c_Transcendental_Ocos(V_y)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Transcendental_Ocos(V_x)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.62 0 [] c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal))=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(V_x),c_Transcendental_Otan(V_y),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(V_x),c_Transcendental_Otan(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Transcendental_Ocos(V_y)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Transcendental_Ocos(V_x)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.62 0 [] c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(V_x),c_Transcendental_Otan(V_y),tc_RealDef_Oreal)=c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal)|c_Transcendental_Ocos(V_y)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Transcendental_Ocos(V_x)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.62 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 164.55/164.62 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)| -c_lesse_quals(V_c,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 164.55/164.62 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)| -c_lesse_quals(V_c,V_d,T_a)| -c_lesse_quals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 164.55/164.62 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 164.55/164.62 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 164.55/164.62 0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a).
% 164.55/164.62 0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a).
% 164.55/164.62 0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a).
% 164.55/164.62 0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)| -c_lesse_quals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a).
% 164.55/164.62 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a).
% 164.55/164.62 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 164.55/164.62 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a).
% 164.55/164.62 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_a_H,T_a),V_b,T_a)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a).
% 164.55/164.62 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a).
% 164.55/164.62 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a).
% 164.55/164.62 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.
% 164.55/164.62 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.
% 164.55/164.62 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.
% 164.55/164.62 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.
% 164.55/164.62 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.
% 164.55/164.62 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.
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a)=c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_x=V_y.
% 164.55/164.62 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b.
% 164.55/164.62 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b.
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)|V_xa=V_y.
% 164.55/164.62 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|V_x_H=V_y_H.
% 164.55/164.62 0 [] c_Transcendental_Osin(c_Transcendental_Opi)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.62 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(V_x),tc_RealDef_Oreal)| -c_lesse_quals(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal).
% 164.55/164.62 0 [] c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal))=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Osin(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.62 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),tc_RealDef_Oreal).
% 164.55/164.62 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.62 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a).
% 164.55/164.62 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).
% 164.55/164.62 0 [] c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Osin(V_x),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_lesse_quals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)| -c_lesse_quals(V_b,V_c,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 164.55/164.62 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_lesse_quals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)| -c_lesse_quals(V_b,V_a,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 164.55/164.62 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.62 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.62 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a.
% 164.55/164.62 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.62 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.62 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_x,V_y,T_a)!=c_HOL_Ozero__class_Ozero(T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.62 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_x,V_y,T_a)!=c_HOL_Ozero__class_Ozero(T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.62 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).
% 164.55/164.62 0 [] c_lesse_quals(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal)| -c_lesse_quals(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)| -c_lesse_quals(V_y,V_x,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal).
% 164.55/164.62 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).
% 164.55/164.62 0 [] c_lesse_quals(c_Transcendental_Ocos(V_y),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal)| -c_lesse_quals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(V_y,V_x,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(V_a,V_a_H,tc_RealDef_Oreal),V_b,T_a)=c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a_H,V_b,T_a),T_a).
% 164.55/164.62 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal),V_xa,T_a)=c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_x,V_xa,T_a),c_RealVector_OscaleR__class_OscaleR(V_y,V_xa,T_a),T_a).
% 164.55/164.62 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a)=c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b_H,T_a),T_a).
% 164.55/164.62 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a)=c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a).
% 164.55/164.62 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(V_a,V_b,tc_RealDef_Oreal),V_x,T_a)=c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a),T_a).
% 164.55/164.62 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 0 [] c_lesse_quals(c_Transcendental_Ocos(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a).
% 164.55/164.62 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),T_a),T_a),T_a).
% 164.55/164.62 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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.
% 164.55/164.62 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a)=c_HOL_Ominus__class_Ominus(V_b,V_a,T_a).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a)=c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 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.
% 164.55/164.62 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.
% 164.55/164.62 0 [] c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal)=V_z.
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 0 [] c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.62 0 [] c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal))=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Osin(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.62 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.62 0 [] c_lesse_quals(c_HOL_Oplus__class_Oplus(V_z,V_x,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(V_x,V_y,tc_RealDef_Oreal).
% 164.55/164.62 0 [] c_lesse_quals(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.62 0 [] c_lesse_quals(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.62 0 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.62 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal).
% 164.55/164.62 0 [] c_Transcendental_Opi!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.62 0 [] c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal))=c_Transcendental_Ocos(V_x).
% 164.55/164.62 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).
% 164.55/164.62 0 [] c_Transcendental_Otan(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal))=c_HOL_Ouminus__class_Ouminus(c_Transcendental_Otan(V_x),tc_RealDef_Oreal).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 0 [] c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal))=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 164.55/164.62 0 [] c_NthRoot_Osqrt(V_x)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|V_x=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.62 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).
% 164.55/164.62 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).
% 164.55/164.62 0 [] c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.63 0 [] c_NthRoot_Osqrt(V_x)!=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|V_x=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal).
% 164.55/164.63 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.63 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a).
% 164.55/164.63 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),V_m,T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a).
% 164.55/164.63 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_m,V_m,T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a).
% 164.55/164.63 0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)|V_c=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a).
% 164.55/164.63 0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a)=V_d.
% 164.55/164.63 0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),T_a).
% 164.55/164.63 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.63 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.63 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,T_a),T_a)!=c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,T_a),T_a)|V_c=V_d|V_r=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.63 0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a).
% 164.55/164.63 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),T_a).
% 164.55/164.63 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).
% 164.55/164.63 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ouminus__class_Ouminus(V_b,T_a).
% 164.55/164.63 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)=V_b.
% 164.55/164.63 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 164.55/164.63 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 164.55/164.63 0 [] -class_Int_Onumber__ring(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)=c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 164.55/164.63 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)=c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 164.55/164.63 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_b,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.63 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.63 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.63 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 164.55/164.63 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Oplus__class_Oplus(V_a,V_b,T_a).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 0 [] -class_OrderedGroup_Olordered__ab__group__add__abs(T_a)|c_lesse_quals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a).
% 164.55/164.63 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a).
% 164.55/164.63 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(V_a,V_b,tc_RealDef_Oreal),V_x,T_a)=c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a),T_a).
% 164.55/164.63 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),V_xa,T_a)=c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_x,V_xa,T_a),c_RealVector_OscaleR__class_OscaleR(V_y,V_xa,T_a),T_a).
% 164.55/164.63 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(V_a,V_a_H,tc_RealDef_Oreal),V_b,T_a)=c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a_H,V_b,T_a),T_a).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 0 [] c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.63 0 [] c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|V_y=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.63 0 [] c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|V_x=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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.
% 164.55/164.63 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_y_H,V_x_H,T_a).
% 164.55/164.63 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y_H,V_x_H,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 0 [] c_lesse_quals(c_Transcendental_Osin(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 0 [] c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=c_HOL_Ouminus__class_Ouminus(V_a,T_a).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_x,V_y,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(V_x,V_a,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(V_x,V_a,tc_RealDef_Oreal),V_b,T_a),T_a),c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),T_a).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 0 [] c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 164.55/164.63 0 [] c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)!=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_lesse_quals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),tc_RealDef_Oreal).
% 164.55/164.63 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).
% 164.55/164.63 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 164.55/164.63 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a).
% 164.55/164.63 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 164.55/164.63 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).
% 164.55/164.63 0 [] c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal))=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_y),c_Transcendental_Osin(V_x),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_y),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.63 0 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 0 [] c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.63 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_lesse_quals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),tc_RealDef_Oreal).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 0 [] c_lesse_quals(V_x,V_y,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.63 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(V_x,V_y,tc_RealDef_Oreal).
% 164.55/164.63 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 164.55/164.63 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 164.55/164.63 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a),T_a),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),T_a),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),T_a),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.63 0 [] c_Transcendental_Otan(c_Transcendental_Opi)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.63 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 164.55/164.63 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 164.55/164.63 0 [] c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal))=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_y),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_y),c_Transcendental_Osin(V_x),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.63 0 [] c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal))=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Osin(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.63 0 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal).
% 164.55/164.63 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 164.55/164.63 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 164.55/164.63 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).
% 164.55/164.63 0 [] c_lesse_quals(V_w,V_w,tc_RealDef_Oreal).
% 164.55/164.63 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).
% 164.55/164.63 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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.
% 164.55/164.63 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.
% 164.55/164.63 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).
% 164.55/164.63 0 [] c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal))=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Osin(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.63 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 164.55/164.63 0 [] c_lesse_quals(V_w,V_z,tc_RealDef_Oreal)|c_lesse_quals(V_z,V_w,tc_RealDef_Oreal).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 0 [] c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal))=c_Transcendental_Otan(V_x).
% 164.55/164.63 0 [] c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|V_y=c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal).
% 164.55/164.63 0 [] c_HOL_Ominus__class_Ominus(V_r,V_s,tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(V_r,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.63 0 [] c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_a,tc_RealDef_Oreal),tc_RealDef_Oreal)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|V_x=V_a.
% 164.55/164.63 0 [] c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 0 [] c_RealVector_Onorm__class_Onorm(c_Complex_Orcis(V_r,V_a),tc_Complex_Ocomplex)=c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal).
% 164.55/164.63 0 [] c_lesse_quals(V_x,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal).
% 164.55/164.63 0 [] c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal))=c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(V_x),tc_RealDef_Oreal).
% 164.55/164.63 0 [] c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,V_x,tc_RealDef_Oreal))=c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal).
% 164.55/164.63 0 [] c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal))=c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal).
% 164.55/164.63 0 [] c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.63 0 [] c_HOL_Otimes__class_Otimes(c_Complex_Orcis(V_r1,V_a),c_Complex_Orcis(V_r2,V_b),tc_Complex_Ocomplex)=c_Complex_Orcis(c_HOL_Otimes__class_Otimes(V_r1,V_r2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_a,V_b,tc_RealDef_Oreal)).
% 164.55/164.63 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 164.55/164.63 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 164.55/164.63 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)=V_b.
% 164.55/164.63 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)=V_y.
% 164.55/164.63 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).
% 164.55/164.63 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a)|V_y=V_z|V_w=V_x.
% 164.55/164.63 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_d,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)|V_c=V_d|V_a=V_b.
% 164.55/164.63 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)=c_HOL_Oplus__class_Oplus(V_b,V_a,T_a).
% 164.55/164.63 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_x,V_y,T_a)=c_HOL_Oplus__class_Oplus(V_y,V_x,T_a).
% 164.55/164.63 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)=c_HOL_Oplus__class_Oplus(V_c,V_a,T_a).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)!=c_HOL_Oplus__class_Oplus(V_y,V_u,T_a)|c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)=V_u.
% 164.55/164.63 0 [] -class_OrderedGroup_Ocancel__semigroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_b,V_a,T_a)!=c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)|V_b=V_c.
% 164.55/164.63 0 [] -class_OrderedGroup_Ocancel__semigroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)!=c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)|V_b=V_c.
% 164.55/164.63 0 [] -class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)!=c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)|V_b=V_c.
% 164.55/164.63 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oplus__class_Oplus(V_x,V_y,T_a)!=c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)|V_y=V_z.
% 164.55/164.63 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).
% 164.55/164.63 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),c_HOL_Otimes__class_Otimes(V_b,V_m,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_m,T_a).
% 164.55/164.63 0 [] -class_Ring__and__Field_Ocomm__semiring(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 164.55/164.63 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a).
% 164.55/164.63 0 [] c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_z1,V_z2,tc_RealDef_Oreal),V_w,tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_z1,V_w,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z2,V_w,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.63 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_a_H,T_a),V_b,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a).
% 164.55/164.63 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a).
% 164.55/164.63 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a).
% 164.55/164.63 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a).
% 164.55/164.63 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 0 [] -class_OrderedGroup_Oab__semigroup__idem__mult(T_a)|c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)=V_x.
% 164.55/164.63 0 [] c_NthRoot_Osqrt(V_x)!=c_NthRoot_Osqrt(V_y)|V_x=V_y.
% 164.55/164.63 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a),T_a)=V_b.
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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.
% 164.55/164.63 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.
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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.
% 164.55/164.63 0 [] c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.63 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a).
% 164.55/164.63 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),T_a).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)=c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a).
% 164.55/164.63 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 164.55/164.63 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a).
% 164.55/164.63 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)=c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a).
% 164.55/164.63 0 [] -class_OrderedGroup_Oab__semigroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 164.55/164.63 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a).
% 164.55/164.63 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a).
% 164.55/164.63 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a).
% 164.55/164.63 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 164.55/164.63 0 [] -class_Ring__and__Field_Osemiring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_c,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_e,T_a),V_c,T_a).
% 164.55/164.63 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).
% 164.55/164.63 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)!=V_y|V_x=c_HOL_Ouminus__class_Ouminus(V_z,T_a).
% 164.55/164.63 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.
% 164.55/164.63 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).
% 164.55/164.63 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).
% 164.55/164.63 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.
% 164.55/164.63 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.
% 164.55/164.63 0 [] c_Complex_Orcis(c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,v_a,tc_RealDef_Oreal))!=c_Complex_Orcis(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),v_a).
% 164.55/164.63 0 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_RealVector_Oreal__normed__field(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Osemiring(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_RealVector_Oreal__algebra(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_RealVector_Oreal__vector(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_RealVector_Oreal__field(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Ofield(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Oring(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Oidom(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Orderings_Opreorder(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Orderings_Olinorder(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Orderings_Oorder(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Int_Onumber__ring(tc_RealDef_Oreal).
% 164.55/164.63 0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_RealVector_Oreal__algebra(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_RealVector_Oreal__vector(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_RealVector_Oreal__field(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_Ring__and__Field_Ofield(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_Ring__and__Field_Oring(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_Ring__and__Field_Oidom(tc_Complex_Ocomplex).
% 164.55/164.63 0 [] class_Int_Onumber__ring(tc_Complex_Ocomplex).
% 164.55/164.63 end_of_list.
% 164.55/164.63
% 164.55/164.63 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 164.55/164.63
% 164.55/164.63 This ia a non-Horn set with equality. The strategy will be
% 164.55/164.63 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 164.55/164.63 deletion, with positive clauses in sos and nonpositive
% 164.55/164.63 clauses in usable.
% 164.55/164.63
% 164.55/164.63 dependent: set(knuth_bendix).
% 164.55/164.63 dependent: set(anl_eq).
% 164.55/164.63 dependent: set(para_from).
% 164.55/164.63 dependent: set(para_into).
% 164.55/164.63 dependent: clear(para_from_right).
% 164.55/164.63 dependent: clear(para_into_right).
% 164.55/164.63 dependent: set(para_from_vars).
% 164.55/164.63 dependent: set(eq_units_both_ways).
% 164.55/164.63 dependent: set(dynamic_demod_all).
% 164.55/164.63 dependent: set(dynamic_demod).
% 164.55/164.63 dependent: set(order_eq).
% 164.55/164.63 dependent: set(back_demod).
% 164.55/164.63 dependent: set(lrpo).
% 164.55/164.63 dependent: set(hyper_res).
% 164.55/164.63 dependent: set(unit_deletion).
% 164.55/164.63 dependent: set(factor).
% 164.55/164.63
% 164.55/164.63 ------------> process usable:
% 164.55/164.63 ** KEPT (pick-wt=38): 2 [copy,1,flip.2] -class_RealVector_Oreal__field(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(C,D,A),E,A),A),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,F,A),E,A),D,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(F,D,A),A),E,A).
% 164.55/164.63 ** KEPT (pick-wt=37): 3 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,E,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A),c_HOL_Otimes__class_Otimes(C,E,A),A)|E=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.63 ** KEPT (pick-wt=18): 4 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=18): 5 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=18): 6 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=18): 7 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=26): 8 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(D,C,A),A),C,A)|C=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.63 ** KEPT (pick-wt=26): 9 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oinverse__class_Odivide(C,D,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(C,c_HOL_Otimes__class_Otimes(B,D,A),A),D,A)|D=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.63 ** KEPT (pick-wt=37): 10 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,E,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A),c_HOL_Otimes__class_Otimes(C,E,A),A)|E=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.63 ** KEPT (pick-wt=30): 11 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=30): 12 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=19): 13 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=15): 15 [copy,14,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).
% 164.55/164.63 ** KEPT (pick-wt=17): 16 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=17): 17 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=15): 18 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=20): 20 [copy,19,flip.2] -class_RealVector_Oreal__normed__field(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 164.55/164.63 ** KEPT (pick-wt=20): 22 [copy,21,flip.2] -class_Ring__and__Field_Ofield(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 164.55/164.63 ** KEPT (pick-wt=19): 23 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=25): 24 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=10): 25 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=12): 26 [] -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).
% 164.55/164.63 Following clause subsumed by 26 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.63 ** KEPT (pick-wt=10): 27 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=19): 28 [] -class_Ring__and__Field_Odivision__by__zero(A)| -class_RealVector_Oreal__normed__field(A)|c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(B,A),c_RealVector_Onorm__class_Onorm(C,A),tc_RealDef_Oreal).
% 164.55/164.63 ** KEPT (pick-wt=20): 30 [copy,29,flip.2] -class_RealVector_Oreal__normed__field(A)|c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,D,A),C,A).
% 164.55/164.63 ** KEPT (pick-wt=20): 32 [copy,31,flip.2] -class_Ring__and__Field_Ofield(A)|c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,D,A),C,A).
% 164.55/164.63 ** KEPT (pick-wt=21): 33 [] -class_RealVector_Oreal__normed__field(A)|c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(B,A),c_RealVector_Onorm__class_Onorm(C,A),tc_RealDef_Oreal)|C=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.63 ** KEPT (pick-wt=9): 34 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Oone__class_Oone(A),A)=B.
% 164.55/164.63 Following clause subsumed by 27 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.63 ** KEPT (pick-wt=17): 36 [copy,35,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).
% 164.55/164.63 Following clause subsumed by 26 during input processing: 0 [flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.63 ** KEPT (pick-wt=22): 37 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=22): 38 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=22): 39 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=22): 40 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=22): 41 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=22): 42 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=23): 43 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=23): 44 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=22): 45 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=22): 46 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=22): 47 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=22): 48 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=22): 49 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=22): 50 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=23): 51 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=23): 52 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=17): 53 [] -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).
% 164.55/164.63 Following clause subsumed by 53 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).
% 164.55/164.63 ** KEPT (pick-wt=15): 54 [] -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.
% 164.55/164.63 Following clause subsumed by 54 during input processing: 0 [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.
% 164.55/164.63 ** KEPT (pick-wt=15): 56 [copy,55,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).
% 164.55/164.63 ** KEPT (pick-wt=17): 58 [copy,57,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).
% 164.55/164.63 Following clause subsumed by 58 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).
% 164.55/164.63 ** KEPT (pick-wt=28): 59 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=28): 60 [] -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).
% 164.55/164.63 Following clause subsumed by 56 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).
% 164.55/164.63 ** KEPT (pick-wt=15): 61 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=13): 62 [] -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).
% 164.55/164.63 Following clause subsumed by 62 during input processing: 0 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=16): 63 [] -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.
% 164.55/164.63 ** KEPT (pick-wt=19): 64 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=19): 65 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=21): 66 [] -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).
% 164.55/164.63 ** KEPT (pick-wt=18): 67 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(B,A,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.63 ** KEPT (pick-wt=18): 68 [] c_lesse_quals(A,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(B,A,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.63 ** KEPT (pick-wt=18): 69 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal)| -c_lesse_quals(A,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.63 ** KEPT (pick-wt=18): 70 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(B,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).
% 164.55/164.63 ** KEPT (pick-wt=18): 71 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal)| -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),B,tc_RealDef_Oreal).
% 164.55/164.63 ** KEPT (pick-wt=18): 72 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,tc_RealDef_Oreal).
% 164.55/164.63 ** KEPT (pick-wt=16): 73 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(B,D,A),c_HOL_Oplus__class_Oplus(C,D,A),A).
% 164.55/164.63 ** KEPT (pick-wt=16): 74 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)| -c_lesse_quals(C,D,A).
% 164.55/164.63 ** KEPT (pick-wt=16): 75 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(D,B,A),c_HOL_Oplus__class_Oplus(D,C,A),A).
% 164.55/164.63 ** KEPT (pick-wt=16): 76 [] -class_OrderedGroup_Opordered__ab__semigroup__add(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)| -c_lesse_quals(B,D,A).
% 164.55/164.63 ** KEPT (pick-wt=16): 77 [] -class_OrderedGroup_Opordered__ab__semigroup__add(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)| -c_lesse_quals(C,D,A).
% 164.55/164.63 ** KEPT (pick-wt=13): 78 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oplus__class_Oplus(B,B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.63 ** KEPT (pick-wt=14): 80 [copy,79,flip.3] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=B|C=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.63 ** KEPT (pick-wt=11): 81 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,C,A),C,A)=B.
% 164.55/164.63 ** KEPT (pick-wt=11): 82 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.63 ** KEPT (pick-wt=23): 84 [copy,83,flip.2] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ominus__class_Ominus(D,E,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,D,A),c_HOL_Oplus__class_Oplus(C,E,A),A).
% 164.55/164.63 ** KEPT (pick-wt=20): 85 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(B,C,A),c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 164.55/164.63 ** KEPT (pick-wt=20): 86 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(B,C,A),c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 164.55/164.63 ** KEPT (pick-wt=9): 87 [] -class_OrderedGroup_Omonoid__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 164.55/164.63 ** KEPT (pick-wt=9): 88 [] -class_OrderedGroup_Omonoid__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 164.55/164.63 ** KEPT (pick-wt=9): 89 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 164.55/164.64 ** KEPT (pick-wt=11): 91 [copy,90,flip.3] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 164.55/164.64 ** KEPT (pick-wt=9): 92 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 164.55/164.64 ** KEPT (pick-wt=9): 93 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 164.55/164.64 ** KEPT (pick-wt=9): 94 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 164.55/164.64 Following clause subsumed by 92 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 164.55/164.64 ** KEPT (pick-wt=11): 95 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,A),C,A)=B.
% 164.55/164.64 ** KEPT (pick-wt=16): 96 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 164.55/164.64 ** KEPT (pick-wt=16): 97 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 164.55/164.64 ** KEPT (pick-wt=20): 99 [copy,98,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).
% 164.55/164.64 ** KEPT (pick-wt=27): 100 [] -class_Ring__and__Field_Opordered__ring__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 164.55/164.64 ** KEPT (pick-wt=16): 101 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)| -c_lesse_quals(B,D,A).
% 164.55/164.64 ** KEPT (pick-wt=20): 102 [] -class_OrderedGroup_Opordered__ab__semigroup__add(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A)| -c_lesse_quals(C,E,A)| -c_lesse_quals(B,D,A).
% 164.55/164.64 ** KEPT (pick-wt=20): 103 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_lesse_quals(E,D,A)| -c_lesse_quals(B,c_HOL_Oplus__class_Oplus(C,E,A),A).
% 164.55/164.64 ** KEPT (pick-wt=20): 104 [] -class_Ring__and__Field_Oordered__ring__strict(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,A),c_HOL_Otimes__class_Otimes(C,C,A),A),c_HOL_Ozero__class_Ozero(A),A).
% 164.55/164.64 ** KEPT (pick-wt=20): 105 [] -class_Ring__and__Field_Oordered__ring__strict(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,C,A),c_HOL_Otimes__class_Otimes(B,B,A),A),c_HOL_Ozero__class_Ozero(A),A).
% 164.55/164.64 ** KEPT (pick-wt=31): 106 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),D,A),E,A),F,A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),E,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,D,A),F,A),A).
% 164.55/164.64 ** KEPT (pick-wt=31): 107 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),F,A),A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,A),C,A),D,A),F,A).
% 164.55/164.64 ** KEPT (pick-wt=31): 108 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(B,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(C,D,A),E,A),F,A),A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,E,A),B,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,E,A),F,A),A).
% 164.55/164.64 ** KEPT (pick-wt=31): 109 [] -class_Ring__and__Field_Opordered__ring(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),F,A),A)| -c_lesse_quals(D,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(E,B,A),C,A),F,A),A).
% 164.55/164.64 ** KEPT (pick-wt=16): 110 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,A),c_HOL_Otimes__class_Otimes(C,C,A),A),A).
% 164.55/164.64 ** KEPT (pick-wt=20): 111 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A),A),c_HOL_Ozero__class_Ozero(A),A).
% 164.55/164.64 ** KEPT (pick-wt=20): 112 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),D,A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 164.55/164.64 Following clause subsumed by 112 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),D,A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 164.55/164.64 ** KEPT (pick-wt=20): 113 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ominus__class_Ominus(C,D,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 164.55/164.64 Following clause subsumed by 113 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ominus__class_Ominus(C,D,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 164.55/164.64 ** KEPT (pick-wt=9): 114 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 164.55/164.64 ** KEPT (pick-wt=9): 115 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oone__class_Oone(A),A)=B.
% 164.55/164.64 Following clause subsumed by 114 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.
% 164.55/164.64 ** KEPT (pick-wt=9): 116 [] -class_OrderedGroup_Ocomm__monoid__mult(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 164.55/164.64 ** KEPT (pick-wt=9): 117 [] -class_OrderedGroup_Omonoid__mult(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 164.55/164.64 ** KEPT (pick-wt=9): 118 [] -class_OrderedGroup_Omonoid__mult(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oone__class_Oone(A),A)=B.
% 164.55/164.64 ** KEPT (pick-wt=17): 119 [] -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).
% 164.55/164.64 Following clause subsumed by 119 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)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.64 ** KEPT (pick-wt=17): 120 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=17): 122 [copy,121,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).
% 164.55/164.64 Following clause subsumed by 122 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).
% 164.55/164.64 ** KEPT (pick-wt=17): 124 [copy,123,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).
% 164.55/164.64 Following clause subsumed by 124 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).
% 164.55/164.64 ** KEPT (pick-wt=17): 126 [copy,125,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).
% 164.55/164.64 ** KEPT (pick-wt=17): 128 [copy,127,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).
% 164.55/164.64 ** KEPT (pick-wt=10): 129 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=10): 130 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=10): 131 [] -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).
% 164.55/164.64 Following clause subsumed by 131 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).
% 164.55/164.64 ** KEPT (pick-wt=10): 132 [] -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).
% 164.55/164.64 Following clause subsumed by 132 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).
% 164.55/164.64 Following clause subsumed by 129 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).
% 164.55/164.64 ** KEPT (pick-wt=10): 133 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=10): 134 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=10): 135 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=10): 136 [] -class_Ring__and__Field_Oring__no__zero__divisors(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.64 ** KEPT (pick-wt=15): 137 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(C,B,A),A).
% 164.55/164.64 ** KEPT (pick-wt=11): 138 [] 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).
% 164.55/164.64 ** KEPT (pick-wt=11): 139 [] 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).
% 164.55/164.64 ** KEPT (pick-wt=14): 140 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 164.55/164.64 ** KEPT (pick-wt=12): 141 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 164.55/164.64 ** KEPT (pick-wt=12): 142 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 164.55/164.64 ** KEPT (pick-wt=10): 143 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=10): 144 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.64 ** KEPT (pick-wt=10): 145 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=10): 146 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=14): 147 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 164.55/164.64 ** KEPT (pick-wt=14): 148 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 164.55/164.64 ** KEPT (pick-wt=15): 149 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(A),tc_RealDef_Oreal)| -c_lesse_quals(A,c_Transcendental_Opi,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 164.55/164.64 ** KEPT (pick-wt=20): 150 [] -class_RealVector_Oreal__normed__vector(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(B,A),c_RealVector_Onorm__class_Onorm(C,A),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(B,C,A),A),tc_RealDef_Oreal).
% 164.55/164.64 ** KEPT (pick-wt=17): 152 [copy,151,factor_simp] -class_OrderedGroup_Opordered__comm__monoid__add(A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.64 ** KEPT (pick-wt=20): 153 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),A),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,A),A),A).
% 164.55/164.64 ** KEPT (pick-wt=13): 154 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=10): 155 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=12): 156 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=20): 157 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)| -class_OrderedGroup_Ocomm__monoid__add(A)|c_lesse_quals(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A).
% 164.55/164.64 ** KEPT (pick-wt=20): 158 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)| -class_OrderedGroup_Ocomm__monoid__add(A)|c_lesse_quals(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),D,A).
% 164.55/164.64 ** KEPT (pick-wt=11): 159 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.64 ** KEPT (pick-wt=9): 160 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.64 ** KEPT (pick-wt=9): 161 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 164.55/164.64 Following clause subsumed by 160 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.64 ** KEPT (pick-wt=9): 162 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.64 ** KEPT (pick-wt=23): 163 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)|B=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.64 ** KEPT (pick-wt=23): 164 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)|C=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.64 ** KEPT (pick-wt=7): 166 [copy,165,flip.2] -class_Ring__and__Field_Ozero__ne_q__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 164.55/164.64 ** KEPT (pick-wt=19): 167 [] c_lesse_quals(c_Transcendental_Ocos(A),c_Transcendental_Ocos(B),tc_RealDef_Oreal)| -c_lesse_quals(A,c_Transcendental_Opi,tc_RealDef_Oreal)| -c_lesse_quals(B,A,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,tc_RealDef_Oreal).
% 164.55/164.64 ** KEPT (pick-wt=13): 168 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=21): 169 [] c_lesse_quals(c_Transcendental_Ocos(A),c_Transcendental_Ocos(B),tc_RealDef_Oreal)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 164.55/164.64 ** KEPT (pick-wt=11): 170 [] A=B| -c_lesse_quals(B,A,tc_RealDef_Oreal)| -c_lesse_quals(A,B,tc_RealDef_Oreal).
% 164.55/164.64 ** KEPT (pick-wt=13): 171 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 164.55/164.64 Following clause subsumed by 171 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 164.55/164.64 Following clause subsumed by 171 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 164.55/164.64 ** KEPT (pick-wt=12): 172 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=20): 173 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(B,C,tc_RealDef_Oreal),D,A)=c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(B,D,A),c_RealVector_OscaleR__class_OscaleR(C,D,A),A).
% 164.55/164.64 ** KEPT (pick-wt=20): 174 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(B,C,tc_RealDef_Oreal),D,A)=c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(B,D,A),c_RealVector_OscaleR__class_OscaleR(C,D,A),A).
% 164.55/164.64 ** KEPT (pick-wt=20): 175 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ominus__class_Ominus(C,D,A),A)=c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(B,C,A),c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 164.55/164.64 ** KEPT (pick-wt=20): 176 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ominus__class_Ominus(C,D,A),A)=c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(B,C,A),c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 164.55/164.64 Following clause subsumed by 174 during input processing: 0 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(B,C,tc_RealDef_Oreal),D,A)=c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(B,D,A),c_RealVector_OscaleR__class_OscaleR(C,D,A),A).
% 164.55/164.64 ** KEPT (pick-wt=18): 177 [] -class_RealVector_Oreal__normed__vector(A)|c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(B,C,A),A),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(B,A),c_RealVector_Onorm__class_Onorm(C,A),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.64 ** KEPT (pick-wt=14): 178 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=14): 179 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=20): 180 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=20): 181 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=20): 182 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=20): 183 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=11): 184 [] 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).
% 164.55/164.64 ** KEPT (pick-wt=11): 185 [] 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).
% 164.55/164.64 Following clause subsumed by 184 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).
% 164.55/164.64 ** KEPT (pick-wt=21): 186 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=21): 187 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=21): 188 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=27): 189 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=27): 190 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=27): 191 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=18): 192 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=18): 193 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,A),A),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),A).
% 164.55/164.64 ** KEPT (pick-wt=30): 194 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A),A),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,D,A),A),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(C,E,A),A),A),A).
% 164.55/164.64 ** KEPT (pick-wt=17): 196 [copy,195,flip.2] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 164.55/164.64 ** KEPT (pick-wt=9): 197 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=9): 198 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.64 Following clause subsumed by 198 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.64 ** KEPT (pick-wt=11): 199 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=11): 200 [] -class_OrderedGroup_Oordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=B|B=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.64 ** KEPT (pick-wt=12): 201 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=15): 203 [copy,202,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).
% 164.55/164.64 ** KEPT (pick-wt=15): 205 [copy,204,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).
% 164.55/164.64 ** KEPT (pick-wt=14): 206 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=14): 207 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=12): 208 [] -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.
% 164.55/164.64 ** KEPT (pick-wt=13): 209 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_HOL_Ominus__class_Ominus(C,B,A).
% 164.55/164.64 ** KEPT (pick-wt=14): 210 [] -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).
% 164.55/164.64 Following clause subsumed by 210 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).
% 164.55/164.64 ** KEPT (pick-wt=14): 211 [] -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).
% 164.55/164.64 Following clause subsumed by 211 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).
% 164.55/164.64 ** KEPT (pick-wt=18): 212 [] -class_RealVector_Oreal__normed__vector(A)|c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(B,C,A),A),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(B,A),c_RealVector_Onorm__class_Onorm(C,A),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.64 ** KEPT (pick-wt=11): 213 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=14): 215 [copy,214,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).
% 164.55/164.64 ** KEPT (pick-wt=12): 216 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=8): 217 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(B,c_HOL_Oabs__class_Oabs(B,A),A).
% 164.55/164.64 ** KEPT (pick-wt=9): 218 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=15): 219 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(C,B,A),A).
% 164.55/164.64 ** KEPT (pick-wt=12): 220 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=9): 221 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=16): 222 [] 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.
% 164.55/164.64 ** KEPT (pick-wt=16): 223 [] 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.
% 164.55/164.64 ** KEPT (pick-wt=17): 225 [copy,224,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).
% 164.55/164.64 ** KEPT (pick-wt=14): 226 [] c_lesse_quals(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(A,C,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(B,C,tc_RealDef_Oreal).
% 164.55/164.64 ** KEPT (pick-wt=14): 227 [] c_lesse_quals(A,c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(B,A,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.64 ** KEPT (pick-wt=14): 228 [] c_lesse_quals(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.64 ** KEPT (pick-wt=14): 229 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),B,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.64 ** KEPT (pick-wt=14): 230 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),B,tc_RealDef_Oreal).
% 164.55/164.64 ** KEPT (pick-wt=4): 232 [copy,231,flip.1] c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)!=c_Transcendental_Opi.
% 164.55/164.64 ** KEPT (pick-wt=20): 233 [] 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).
% 164.55/164.64 ** KEPT (pick-wt=17): 234 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=9): 235 [] c_NthRoot_Osqrt(A)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|A=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.64 ** KEPT (pick-wt=10): 236 [] c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_lesse_quals(c_NthRoot_Osqrt(A),c_NthRoot_Osqrt(B),tc_RealDef_Oreal).
% 164.55/164.64 ** KEPT (pick-wt=10): 237 [] c_lesse_quals(c_NthRoot_Osqrt(A),c_NthRoot_Osqrt(B),tc_RealDef_Oreal)| -c_lesse_quals(A,B,tc_RealDef_Oreal).
% 164.55/164.64 ** KEPT (pick-wt=9): 238 [] c_NthRoot_Osqrt(A)!=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|A=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 164.55/164.64 ** KEPT (pick-wt=11): 239 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=10): 240 [] c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal),B,tc_RealDef_Oreal).
% 164.55/164.64 ** KEPT (pick-wt=19): 241 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A),A)=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.64 ** KEPT (pick-wt=18): 243 [copy,242,flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(A),A),C,A)=c_HOL_Oplus__class_Oplus(C,c_HOL_Otimes__class_Otimes(B,C,A),A).
% 164.55/164.64 ** KEPT (pick-wt=18): 245 [copy,244,flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(A),A),C,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),C,A).
% 164.55/164.64 ** KEPT (pick-wt=16): 247 [copy,246,flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(A),c_HOL_Oone__class_Oone(A),A),B,A)=c_HOL_Oplus__class_Oplus(B,B,A).
% 164.55/164.64 ** KEPT (pick-wt=29): 248 [] -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),F,A)|D=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(E,B,A),C,A),F,A).
% 164.55/164.64 ** KEPT (pick-wt=29): 249 [] -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),F,A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,A),C,A),D,A)=F.
% 164.55/164.64 ** KEPT (pick-wt=26): 251 [copy,250,flip.2] -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(D,B,A),C,A),E,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,C,A),E,A).
% 164.55/164.64 ** KEPT (pick-wt=19): 252 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,A),c_HOL_Otimes__class_Otimes(C,C,A),A)!=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.64 ** KEPT (pick-wt=19): 253 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,A),c_HOL_Otimes__class_Otimes(C,C,A),A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.64 ** KEPT (pick-wt=26): 254 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,A),A)!=c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,E,A),A)|D=E|C=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.64 Following clause subsumed by 251 during input processing: 0 [] -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(D,B,A),C,A),E,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,C,A),E,A).
% 164.55/164.64 ** KEPT (pick-wt=41): 256 [copy,255,flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ominus__class_Ominus(D,E,A),A),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),E,A),A),c_HOL_Otimes__class_Otimes(C,c_HOL_Ominus__class_Ominus(D,E,A),A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,E,A),A).
% 164.55/164.64 ** KEPT (pick-wt=13): 257 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=14): 258 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ouminus__class_Ouminus(C,A).
% 164.55/164.64 ** KEPT (pick-wt=14): 259 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|c_HOL_Ouminus__class_Ouminus(B,A)=C.
% 164.55/164.64 ** KEPT (pick-wt=13): 261 [copy,260,flip.2] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 164.55/164.64 ** KEPT (pick-wt=13): 263 [copy,262,flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 164.55/164.64 ** KEPT (pick-wt=13): 265 [copy,264,flip.2] -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 164.55/164.64 Following clause subsumed by 261 during input processing: 0 [flip.2] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 164.55/164.64 ** KEPT (pick-wt=11): 266 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.64 ** KEPT (pick-wt=11): 267 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.64 ** KEPT (pick-wt=11): 268 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(B,A),A)=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.64 Following clause subsumed by 266 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 164.55/164.64 ** KEPT (pick-wt=13): 269 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Oplus__class_Oplus(B,C,A).
% 164.55/164.64 ** KEPT (pick-wt=18): 270 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=17): 271 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=18): 272 [] -class_OrderedGroup_Olordered__ab__group__add__abs(A)|c_lesse_quals(B,c_HOL_Oplus__class_Oplus(C,c_HOL_Oabs__class_Oabs(D,A),A),A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 164.55/164.64 ** KEPT (pick-wt=18): 273 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(B,C,A),A),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),A).
% 164.55/164.64 ** KEPT (pick-wt=20): 274 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(B,C,tc_RealDef_Oreal),D,A)=c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(B,D,A),c_RealVector_OscaleR__class_OscaleR(C,D,A),A).
% 164.55/164.64 Following clause subsumed by 274 during input processing: 0 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(B,C,tc_RealDef_Oreal),D,A)=c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(B,D,A),c_RealVector_OscaleR__class_OscaleR(C,D,A),A).
% 164.55/164.64 ** KEPT (pick-wt=20): 275 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(B,C,tc_RealDef_Oreal),D,A)=c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(B,D,A),c_RealVector_OscaleR__class_OscaleR(C,D,A),A).
% 164.55/164.64 ** KEPT (pick-wt=10): 276 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=18): 277 [] -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).
% 164.55/164.64 Following clause subsumed by 277 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).
% 164.55/164.64 ** KEPT (pick-wt=14): 278 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=17): 279 [] c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,B,tc_RealDef_Oreal),tc_RealDef_Oreal)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|B=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.64 ** KEPT (pick-wt=17): 280 [] c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,B,tc_RealDef_Oreal),tc_RealDef_Oreal)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|A=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.64 ** KEPT (pick-wt=15): 282 [copy,281,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).
% 164.55/164.64 Following clause subsumed by 282 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).
% 164.55/164.64 ** KEPT (pick-wt=21): 283 [] -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).
% 164.55/164.64 ** KEPT (pick-wt=21): 284 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=9): 285 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),B,A)=B.
% 164.55/164.65 ** KEPT (pick-wt=19): 286 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(E,D,A).
% 164.55/164.65 ** KEPT (pick-wt=19): 287 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(E,D,A)| -c_lesse_quals(C,B,A).
% 164.55/164.65 ** KEPT (pick-wt=20): 288 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=20): 289 [] -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).
% 164.55/164.65 Following clause subsumed by 289 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).
% 164.55/164.65 ** KEPT (pick-wt=10): 290 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=20): 291 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=20): 292 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=20): 293 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=18): 294 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,A),A),A).
% 164.55/164.65 ** KEPT (pick-wt=20): 295 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=20): 296 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=20): 297 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=20): 298 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=30): 299 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=30): 300 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=9): 301 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=11): 302 [] 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).
% 164.55/164.65 ** KEPT (pick-wt=11): 303 [] 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).
% 164.55/164.65 ** KEPT (pick-wt=11): 304 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ouminus__class_Ouminus(B,A).
% 164.55/164.65 ** KEPT (pick-wt=24): 305 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=24): 306 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=20): 307 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=20): 308 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=20): 309 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=20): 310 [] -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).
% 164.55/164.65 Following clause subsumed by 309 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).
% 164.55/164.65 Following clause subsumed by 310 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).
% 164.55/164.65 Following clause subsumed by 310 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).
% 164.55/164.65 ** KEPT (pick-wt=10): 311 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=41): 313 [copy,312,flip.2] -class_RealVector_Oreal__normed__vector(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(B,C,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(D,E,A),A),c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(B,C,tc_RealDef_Oreal),E,A),A),c_RealVector_OscaleR__class_OscaleR(C,c_HOL_Ominus__class_Ominus(D,E,A),A),A)=c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(B,D,A),c_RealVector_OscaleR__class_OscaleR(C,E,A),A).
% 164.55/164.65 ** KEPT (pick-wt=9): 314 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=5): 315 [] c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)!=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 164.55/164.65 Following clause subsumed by 166 during input processing: 0 [] -class_Ring__and__Field_Ozero__ne_q__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 164.55/164.65 ** KEPT (pick-wt=14): 316 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=14): 317 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=17): 318 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=18): 319 [] -class_RealVector_Oreal__normed__vector(A)|c_lesse_quals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(B,A),c_RealVector_Onorm__class_Onorm(C,A),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(B,C,A),A),tc_RealDef_Oreal).
% 164.55/164.65 Following clause subsumed by 235 during input processing: 0 [] 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).
% 164.55/164.65 ** KEPT (pick-wt=20): 320 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 164.55/164.65 ** KEPT (pick-wt=15): 321 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,B,A),A).
% 164.55/164.65 ** KEPT (pick-wt=15): 322 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,B,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 164.55/164.65 ** KEPT (pick-wt=10): 323 [] c_Transcendental_Ocos(A)!=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|c_Transcendental_Osin(A)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.65 ** KEPT (pick-wt=13): 324 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=13): 325 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=13): 326 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=13): 327 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=13): 328 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=13): 329 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=13): 330 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=13): 331 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=12): 332 [] 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).
% 164.55/164.65 ** KEPT (pick-wt=18): 333 [] -class_RealVector_Oreal__normed__vector(A)|c_lesse_quals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(B,A),c_RealVector_Onorm__class_Onorm(C,A),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(B,C,A),A),tc_RealDef_Oreal).
% 164.55/164.65 ** KEPT (pick-wt=17): 334 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=17): 335 [] -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).
% 164.55/164.65 Following clause subsumed by 334 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).
% 164.55/164.65 ** KEPT (pick-wt=9): 336 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=11): 337 [] 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).
% 164.55/164.65 ** KEPT (pick-wt=11): 338 [] 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).
% 164.55/164.65 Following clause subsumed by 337 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).
% 164.55/164.65 ** KEPT (pick-wt=8): 339 [] -class_Ring__and__Field_Oordered__semidom(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oone__class_Oone(A),A).
% 164.55/164.65 ** KEPT (pick-wt=8): 340 [] -class_Ring__and__Field_Oordered__semidom(A)| -c_lesse_quals(c_HOL_Oone__class_Oone(A),c_HOL_Ozero__class_Ozero(A),A).
% 164.55/164.65 ** KEPT (pick-wt=12): 341 [] c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.65 ** KEPT (pick-wt=12): 342 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(A,B,tc_RealDef_Oreal).
% 164.55/164.65 ** KEPT (pick-wt=14): 343 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,C,A).
% 164.55/164.65 ** KEPT (pick-wt=14): 344 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 164.55/164.65 ** KEPT (pick-wt=30): 345 [] -class_RealVector_Oreal__normed__vector(A)|c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A),A),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(B,D,A),A),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(C,E,A),A),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.65 ** KEPT (pick-wt=15): 346 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(B,B,A),c_HOL_Ozero__class_Ozero(A),A).
% 164.55/164.65 ** KEPT (pick-wt=15): 347 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 164.55/164.65 ** KEPT (pick-wt=6): 348 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 164.55/164.65 ** KEPT (pick-wt=6): 349 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 164.55/164.65 ** KEPT (pick-wt=12): 350 [] c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_lesse_quals(C,B,tc_RealDef_Oreal)| -c_lesse_quals(A,C,tc_RealDef_Oreal).
% 164.55/164.65 ** KEPT (pick-wt=14): 351 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 164.55/164.65 ** KEPT (pick-wt=20): 352 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 164.55/164.65 ** KEPT (pick-wt=14): 353 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 164.55/164.65 ** KEPT (pick-wt=13): 354 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=13): 355 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=22): 356 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=18): 357 [] -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.
% 164.55/164.65 ** KEPT (pick-wt=18): 358 [] -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.
% 164.55/164.65 ** 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).
% 164.55/164.65 ** KEPT (pick-wt=10): 360 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 164.55/164.65 ** KEPT (pick-wt=15): 362 [copy,361,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).
% 164.55/164.65 ** KEPT (pick-wt=15): 363 [] 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).
% 164.55/164.65 ** KEPT (pick-wt=15): 364 [] 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).
% 164.55/164.65 ** KEPT (pick-wt=17): 365 [] 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).
% 164.55/164.65 ** KEPT (pick-wt=12): 366 [] c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|B=c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal).
% 164.55/164.65 ** KEPT (pick-wt=12): 367 [] c_HOL_Oplus__class_Oplus(A,c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),tc_RealDef_Oreal)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|A=B.
% 164.55/164.65 ** KEPT (pick-wt=16): 368 [] 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).
% 164.55/164.65 ** KEPT (pick-wt=12): 369 [] 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).
% 164.55/164.65 ** KEPT (pick-wt=17): 370 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(B,C,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 164.55/164.65 ** KEPT (pick-wt=17): 371 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(B,C,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(C,A),c_HOL_Ouminus__class_Ouminus(B,A),A).
% 164.55/164.65 ** KEPT (pick-wt=21): 372 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A).
% 164.55/164.65 ** KEPT (pick-wt=15): 373 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=13): 374 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Oplus__class_Oplus(B,C,A),A)=C.
% 164.55/164.65 ** KEPT (pick-wt=13): 375 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Oplus__class_Oplus(C,B,A),A)=C.
% 164.55/164.65 ** KEPT (pick-wt=15): 376 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=31): 377 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A)|C=E|B=D.
% 164.55/164.65 Following clause subsumed by 377 during input processing: 0 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A)|C=E|B=D.
% 164.55/164.65 ** KEPT (pick-wt=11): 378 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 164.55/164.65 ** KEPT (pick-wt=11): 379 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 164.55/164.65 Following clause subsumed by 379 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 164.55/164.65 ** KEPT (pick-wt=11): 380 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=20): 381 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)!=c_HOL_Oplus__class_Oplus(C,E,A)|c_HOL_Oplus__class_Oplus(B,D,A)=E.
% 164.55/164.65 ** KEPT (pick-wt=14): 382 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(D,C,A)|B=D.
% 164.55/164.65 ** KEPT (pick-wt=14): 383 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(B,D,A)|C=D.
% 164.55/164.65 ** KEPT (pick-wt=14): 384 [] -class_OrderedGroup_Ocancel__ab__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(B,D,A)|C=D.
% 164.55/164.65 ** KEPT (pick-wt=16): 385 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(B,D,A)|C=D.
% 164.55/164.65 ** KEPT (pick-wt=11): 386 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=23): 387 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,D,A),c_HOL_Oplus__class_Oplus(C,E,A),A).
% 164.55/164.65 ** KEPT (pick-wt=15): 388 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=15): 389 [] -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).
% 164.55/164.65 ** KEPT (pick-wt=15): 391 [copy,390,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).
% 164.55/164.65 Following clause subsumed by 391 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).
% 164.55/164.65 ** KEPT (pick-wt=15): 393 [copy,392,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).
% 164.55/164.65 Following clause subsumed by 393 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).
% 164.55/164.65 ** KEPT (pick-wt=20): 395 [copy,394,flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 164.55/164.65 ** KEPT (pick-wt=20): 396 [] -class_Ring__and__Field_Ocomm__semiring(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 164.55/164.65 ** KEPT (pick-wt=20): 397 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 164.55/164.65 ** KEPT (pick-wt=20): 398 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 164.55/164.65 Following clause subsumed by 398 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 164.55/164.65 ** KEPT (pick-wt=20): 399 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 164.55/164.65 Following clause subsumed by 399 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 164.55/164.65 Following clause subsumed by 395 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 164.55/164.65 ** KEPT (pick-wt=17): 401 [copy,400,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).
% 164.55/164.65 ** KEPT (pick-wt=17): 402 [] -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).
% 164.55/164.65 Following clause subsumed by 401 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).
% 164.55/164.66 Following clause subsumed by 401 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 164.55/164.66 ** KEPT (pick-wt=17): 403 [] -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).
% 164.55/164.66 ** KEPT (pick-wt=17): 404 [] -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).
% 164.55/164.66 ** KEPT (pick-wt=8): 405 [] -class_OrderedGroup_Oab__semigroup__idem__mult(A)|c_HOL_Otimes__class_Otimes(B,B,A)=B.
% 164.55/164.66 ** KEPT (pick-wt=8): 406 [] c_NthRoot_Osqrt(A)!=c_NthRoot_Osqrt(B)|A=B.
% 164.55/164.66 ** KEPT (pick-wt=13): 407 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),C,A),A)=C.
% 164.55/164.66 ** KEPT (pick-wt=14): 408 [] -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).
% 164.55/164.66 ** KEPT (pick-wt=15): 409 [] -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).
% 164.55/164.66 ** KEPT (pick-wt=15): 410 [] -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).
% 164.55/164.66 ** KEPT (pick-wt=17): 411 [] -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).
% 164.55/164.66 ** KEPT (pick-wt=12): 412 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 164.55/164.66 ** KEPT (pick-wt=12): 413 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 164.55/164.66 Following clause subsumed by 402 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)=c_HOL_Otimes__class_Otimes(D,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),E,A),A).
% 164.55/164.66 Following clause subsumed by 401 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,c_HOL_Otimes__class_Otimes(D,E,A),A),A).
% 164.55/164.66 ** KEPT (pick-wt=23): 414 [] -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).
% 164.55/164.66 ** KEPT (pick-wt=19): 415 [] -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.
% 164.55/164.66 ** KEPT (pick-wt=25): 416 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(B,C,A),A).
% 164.55/164.66 Following clause subsumed by 416 during input processing: 0 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(B,C,A),A).
% 164.55/164.66 ** KEPT (pick-wt=11): 417 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,C,A)=c_HOL_Otimes__class_Otimes(C,B,A).
% 164.55/164.66 Following clause subsumed by 417 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).
% 164.55/164.66 ** KEPT (pick-wt=17): 418 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(C,c_HOL_Oplus__class_Oplus(B,D,A),A).
% 164.55/164.66 ** KEPT (pick-wt=17): 419 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 164.55/164.66 ** KEPT (pick-wt=17): 421 [copy,420,flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 164.55/164.66 ** KEPT (pick-wt=17): 422 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(C,c_HOL_Oplus__class_Oplus(B,D,A),A).
% 164.55/164.66 ** KEPT (pick-wt=17): 423 [] -class_OrderedGroup_Oab__semigroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 164.55/164.66 Following clause subsumed by 421 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 164.55/164.66 ** KEPT (pick-wt=17): 424 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 164.55/164.66 ** KEPT (pick-wt=17): 425 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(C,c_HOL_Oplus__class_Oplus(B,D,A),A).
% 164.55/164.66 Following clause subsumed by 421 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 164.55/164.66 ** KEPT (pick-wt=26): 427 [copy,426,flip.2] -class_Ring__and__Field_Osemiring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A),E,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,D,A),E,A),A).
% 164.55/164.66 ** KEPT (pick-wt=16): 428 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)!=C|B=c_HOL_Ouminus__class_Ouminus(D,A).
% 164.55/164.66 ** KEPT (pick-wt=9): 429 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 164.55/164.66 Following clause subsumed by 429 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.
% 164.55/164.66 Following clause subsumed by 429 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.
% 164.55/164.66 ** KEPT (pick-wt=9): 430 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 164.55/164.66 Following clause subsumed by 429 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 164.55/164.66 ** KEPT (pick-wt=23): 431 [] c_Complex_Orcis(c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,v_a,tc_RealDef_Oreal))!=c_Complex_Orcis(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),v_a).
% 164.55/164.66 54 back subsumes 53.
% 164.55/164.66 62 back subsumes 61.
% 164.55/164.66 494 back subsumes 493.
% 164.55/164.66
% 164.55/164.66 ------------> process sos:
% 164.55/164.66 ** KEPT (pick-wt=3): 513 [] A=A.
% 164.55/164.66 ** KEPT (pick-wt=9): 514 [] c_Transcendental_Otan(A)=c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(A),c_Transcendental_Ocos(A),tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 515 [new_demod,514] c_Transcendental_Otan(A)=c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(A),c_Transcendental_Ocos(A),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=12): 516 [] c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal))=c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(A),c_NthRoot_Osqrt(B),tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 517 [new_demod,516] c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(A,B,tc_RealDef_Oreal))=c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(A),c_NthRoot_Osqrt(B),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=15): 518 [] c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oinverse__class_Odivide(B,A,tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 519 [new_demod,518] c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oinverse__class_Odivide(B,A,tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=45): 520 [] c_HOL_Ominus__class_Ominus(hAPP(A,B),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(A,C),hAPP(A,B),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(C,B,tc_RealDef_Oreal),tc_RealDef_Oreal),B,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ominus__class_Ominus(hAPP(A,C),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(A,C),hAPP(A,B),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(C,B,tc_RealDef_Oreal),tc_RealDef_Oreal),C,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=42): 522 [copy,521,demod,515,515] c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(A),c_Transcendental_Ocos(A),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(B),c_Transcendental_Ocos(B),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(A),c_Transcendental_Ocos(B),tc_RealDef_Oreal),tc_RealDef_Oreal)|c_Transcendental_Ocos(B)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Transcendental_Ocos(A)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=65): 524 [copy,523,demod,515,515,515,515,515] c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal)),tc_RealDef_Oreal)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(A),c_Transcendental_Ocos(A),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(B),c_Transcendental_Ocos(B),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(A),c_Transcendental_Ocos(A),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(B),c_Transcendental_Ocos(B),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Transcendental_Ocos(B)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Transcendental_Ocos(A)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=38): 526 [copy,525,demod,515,515,flip.1] c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(A),c_Transcendental_Ocos(B),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(A),c_Transcendental_Ocos(A),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(B),c_Transcendental_Ocos(B),tc_RealDef_Oreal),tc_RealDef_Oreal)|c_Transcendental_Ocos(B)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Transcendental_Ocos(A)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=5): 527 [] c_Transcendental_Osin(c_Transcendental_Opi)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 528 [new_demod,527] c_Transcendental_Osin(c_Transcendental_Opi)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=20): 529 [] c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal))=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(A),c_Transcendental_Ocos(B),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(A),c_Transcendental_Osin(B),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=17): 530 [] c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(A),c_Transcendental_Ocos(A),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(A),c_Transcendental_Osin(A),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 531 [new_demod,530] c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(A),c_Transcendental_Ocos(A),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(A),c_Transcendental_Osin(A),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=6): 532 [] c_lesse_quals(c_Transcendental_Ocos(A),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=7): 533 [] c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),A,tc_RealDef_Oreal)=A.
% 164.55/164.66 ---> New Demodulator: 534 [new_demod,533] c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),A,tc_RealDef_Oreal)=A.
% 164.55/164.66 Following clause subsumed by 513 during input processing: 0 [demod,534] c_HOL_Oone__class_Oone(tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=21): 536 [copy,535,flip.1] c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 537 [new_demod,536] c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=20): 538 [] c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal))=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(A),c_Transcendental_Ocos(B),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(A),c_Transcendental_Osin(B),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 539 [new_demod,538] c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal))=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(A),c_Transcendental_Ocos(B),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(A),c_Transcendental_Osin(B),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=14): 540 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,B,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=7): 541 [] c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal))=c_Transcendental_Ocos(A).
% 164.55/164.66 ---> New Demodulator: 542 [new_demod,541] c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal))=c_Transcendental_Ocos(A).
% 164.55/164.66 ** KEPT (pick-wt=9): 543 [] c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal))=c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(A),tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 544 [new_demod,543] c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal))=c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(A),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=17): 546 [copy,545,demod,515,544,542,515,flip.1] c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(A),c_Transcendental_Ocos(A),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(A),tc_RealDef_Oreal),c_Transcendental_Ocos(A),tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 547 [new_demod,546] c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(A),c_Transcendental_Ocos(A),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(A),tc_RealDef_Oreal),c_Transcendental_Ocos(A),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=6): 548 [] c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal))=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 549 [new_demod,548] c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal))=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=6): 550 [] c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 551 [new_demod,550] c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=15): 552 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,B,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=17): 553 [] c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 554 [new_demod,553] c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=6): 555 [] c_lesse_quals(c_Transcendental_Osin(A),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=8): 556 [] 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).
% 164.55/164.66 ** KEPT (pick-wt=6): 557 [] c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 558 [new_demod,557] c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=8): 559 [] 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).
% 164.55/164.66 ** KEPT (pick-wt=6): 560 [] c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 561 [new_demod,560] c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Oone__class_Oone(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=20): 562 [] c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal))=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(B),c_Transcendental_Osin(A),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(B),c_Transcendental_Ocos(A),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 563 [new_demod,562] c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal))=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(B),c_Transcendental_Osin(A),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(B),c_Transcendental_Ocos(A),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=10): 564 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=9): 566 [copy,565,demod,515,558,561] c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 567 [new_demod,566] c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=9): 569 [copy,568,demod,515,528] c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(c_Transcendental_Opi),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 570 [new_demod,569] c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(c_Transcendental_Opi),tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=20): 571 [] c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal))=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(B),c_Transcendental_Ocos(A),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(B),c_Transcendental_Osin(A),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=20): 572 [] c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal))=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(A),c_Transcendental_Ocos(B),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(A),c_Transcendental_Osin(B),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=5): 573 [] c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=4): 574 [] c_lesse_quals(A,A,tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=29): 576 [copy,575,demod,563] c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(A),c_Transcendental_Osin(B),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(A),c_Transcendental_Ocos(B),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(B),c_Transcendental_Ocos(A),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(B),c_Transcendental_Osin(A),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=8): 577 [] c_lesse_quals(A,B,tc_RealDef_Oreal)|c_lesse_quals(B,A,tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=13): 578 [] 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).
% 164.55/164.66 ---> New Demodulator: 579 [new_demod,578] 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).
% 164.55/164.66 ** KEPT (pick-wt=12): 580 [] 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).
% 164.55/164.66 ** KEPT (pick-wt=28): 582 [copy,581,demod,515,539,528,515] c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(A),c_Transcendental_Ocos(c_Transcendental_Opi),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(A,c_Transcendental_Opi,tc_RealDef_Oreal)),tc_RealDef_Oreal)=c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(A),c_Transcendental_Ocos(A),tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 583 [new_demod,582] c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(A),c_Transcendental_Ocos(c_Transcendental_Opi),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(A,c_Transcendental_Opi,tc_RealDef_Oreal)),tc_RealDef_Oreal)=c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(A),c_Transcendental_Ocos(A),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=11): 585 [copy,584,flip.1] c_HOL_Oplus__class_Oplus(A,c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 586 [new_demod,585] c_HOL_Oplus__class_Oplus(A,c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=7): 588 [copy,587,demod,586] c_HOL_Ominus__class_Ominus(A,A,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=9): 589 [] c_RealVector_Onorm__class_Onorm(c_Complex_Orcis(A,B),tc_Complex_Ocomplex)=c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 590 [new_demod,589] c_RealVector_Onorm__class_Onorm(c_Complex_Orcis(A,B),tc_Complex_Ocomplex)=c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=14): 591 [] c_lesse_quals(A,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,B,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=10): 592 [] c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(A,c_Transcendental_Opi,tc_RealDef_Oreal))=c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(A),tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 593 [new_demod,592] c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(A,c_Transcendental_Opi,tc_RealDef_Oreal))=c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(A),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=19): 595 [copy,594,demod,539,528,flip.1] c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(A),tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(A),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_Transcendental_Opi),c_Transcendental_Osin(A),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 596 [new_demod,595] c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(A),tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(A),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_Transcendental_Opi),c_Transcendental_Osin(A),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=29): 598 [copy,597,demod,539,528,596] c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(A),c_Transcendental_Ocos(c_Transcendental_Opi),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(A),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_Transcendental_Opi),c_Transcendental_Osin(A),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 599 [new_demod,598] c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(A),c_Transcendental_Ocos(c_Transcendental_Opi),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(A),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_Transcendental_Opi),c_Transcendental_Osin(A),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=30): 601 [copy,600,demod,586,586,586] c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(C,tc_RealDef_Oreal),D,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(A,C,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,D,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=18): 603 [copy,602,flip.1] c_Complex_Orcis(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(C,D,tc_RealDef_Oreal))=c_HOL_Otimes__class_Otimes(c_Complex_Orcis(A,C),c_Complex_Orcis(B,D),tc_Complex_Ocomplex).
% 164.55/164.66 ---> New Demodulator: 604 [new_demod,603] c_Complex_Orcis(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(C,D,tc_RealDef_Oreal))=c_HOL_Otimes__class_Otimes(c_Complex_Orcis(A,C),c_Complex_Orcis(B,D),tc_Complex_Ocomplex).
% 164.55/164.66 ** KEPT (pick-wt=9): 605 [] c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal))=c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 606 [new_demod,605] c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal))=c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=9): 607 [] c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal))=c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(A),tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 608 [new_demod,607] c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal))=c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(A),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=18): 609 [] c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ---> New Demodulator: 610 [new_demod,609] c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal),C,tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=15): 611 [] 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).
% 164.55/164.66 ---> New Demodulator: 612 [new_demod,611] 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).
% 164.55/164.66 ** KEPT (pick-wt=13): 614 [copy,613,demod,586,586] c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,A,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=9): 615 [] c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(B,A,tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=12): 616 [] 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).
% 164.55/164.66 ---> New Demodulator: 617 [new_demod,616] 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).
% 164.55/164.66 ** KEPT (pick-wt=2): 618 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=2): 619 [] class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=2): 620 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=2): 621 [] class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=2): 622 [] class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=2): 623 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=2): 624 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=2): 625 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=2): 626 [] class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=2): 627 [] class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=2): 628 [] class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=2): 629 [] class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=2): 630 [] class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal).
% 164.55/164.66 ** KEPT (pick-wt=2): 631 [] class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 632 [] class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 633 [] class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 634 [] class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 635 [] class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 636 [] class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 637 [] class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 638 [] class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 639 [] class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 640 [] class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 641 [] class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 642 [] class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 643 [] class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 644 [] class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 645 [] class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 646 [] class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 647 [] class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 648 [] class_RealVector_Oreal__normed__field(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 649 [] class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 650 [] class_Ring__and__Field_Ozero__ne_q__one(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 651 [] class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 652 [] class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 653 [] class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 654 [] class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 655 [] class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 656 [] class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 657 [] class_Ring__and__Field_Osemiring(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 658 [] class_RealVector_Oreal__algebra(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 659 [] class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 660 [] class_RealVector_Oreal__vector(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 661 [] class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 662 [] class_RealVector_Oreal__field(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 663 [] class_Ring__and__Field_Ofield(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 664 [] class_Ring__and__Field_Oring(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 665 [] class_Ring__and__Field_Oidom(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 666 [] class_Orderings_Opreorder(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 667 [] class_Orderings_Olinorder(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 668 [] class_Orderings_Oorder(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 669 [] class_Int_Onumber__ring(tc_RealDef_Oreal).
% 164.55/164.67 ** KEPT (pick-wt=2): 670 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 671 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 672 [] class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 673 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 674 [] class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 675 [] class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 676 [] class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 677 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 678 [] class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 679 [] class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 680 [] class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 681 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 682 [] class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 683 [] class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 684 [] class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 685 [] class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 686 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 687 [] class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 688 [] class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 689 [] class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 690 [] class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 691 [] class_RealVector_Oreal__algebra(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 692 [] class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 693 [] class_RealVector_Oreal__vector(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 694 [] class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 695 [] class_RealVector_Oreal__field(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 696 [] class_Ring__and__Field_Ofield(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 697 [] class_Ring__and__Field_Oring(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 698 [] class_Ring__and__Field_Oidom(tc_Complex_Ocomplex).
% 164.55/164.67 ** KEPT (pick-wt=2): 699 [] class_Int_Onumber__ring(tc_Complex_Ocomplex).
% 164.55/164.67 Following clause subsumed by 513 during input processing: 0 [copy,513,flip.1] A=A.
% 164.55/164.67 513 back subsumes 469.
% 164.55/164.67 513 back subsumes 468.
% 164.55/164.67 513 back subsumes 449.
% 164.55/164.67 >>>> Starting back demodulation with 515.
% 164.55/164.67 >>>> Starting back demodulation with 517.
% 164.55/164.67 >>>> Starting back demodulation with 519.
% 164.55/164.67 ** KEPT (pick-wt=45): 700 [copy,520,flip.1] c_HOL_Ominus__class_Ominus(hAPP(A,B),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(A,B),hAPP(A,C),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal),B,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ominus__class_Ominus(hAPP(A,C),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(A,B),hAPP(A,C),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal),C,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.67 >>>> Starting back demodulation with 528.
% 164.55/164.67 ** KEPT (pick-wt=20): 704 [copy,529,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(A),c_Transcendental_Ocos(B),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(A),c_Transcendental_Osin(B),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal)).
% 164.55/164.67 >>>> Starting back demodulation with 531.
% 164.55/164.67 >>>> Starting back demodulation with 534.
% 164.55/164.67 >>>> Starting back demodulation with 537.
% 164.55/164.67 >>>> Starting back demodulation with 539.
% 164.55/164.67 >> back demodulating 526 with 539.
% 164.55/164.67 >> back demodulating 524 with 539.
% 164.55/164.67 >>>> Starting back demodulation with 542.
% 164.55/164.67 >> back demodulating 467 with 542.
% 164.55/164.67 >> back demodulating 466 with 542.
% 164.55/164.67 >>>> Starting back demodulation with 544.
% 164.55/164.67 >>>> Starting back demodulation with 547.
% 164.55/164.67 >>>> Starting back demodulation with 549.
% 164.55/164.67 >>>> Starting back demodulation with 551.
% 164.55/164.67 >>>> Starting back demodulation with 554.
% 164.55/164.67 >>>> Starting back demodulation with 558.
% 164.55/164.67 >>>> Starting back demodulation with 561.
% 164.55/164.67 >> back demodulating 465 with 561.
% 164.55/164.67 >> back demodulating 464 with 561.
% 164.55/164.67 >> back demodulating 463 with 561.
% 164.55/164.67 >>>> Starting back demodulation with 563.
% 164.55/164.67 >>>> Starting back demodulation with 567.
% 164.55/164.67 >>>> Starting back demodulation with 570.
% 164.55/164.67 ** KEPT (pick-wt=20): 709 [copy,571,flip.1] c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(A),c_Transcendental_Ocos(B),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(A),c_Transcendental_Osin(B),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(B,A,tc_RealDef_Oreal)).
% 164.55/164.67 ** KEPT (pick-wt=20): 710 [copy,572,flip.1] c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(A),c_Transcendental_Ocos(B),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(A),c_Transcendental_Osin(B),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal)).
% 164.55/164.67 574 back subsumes 462.
% 164.55/164.67 574 back subsumes 450.
% 164.55/164.67 ** KEPT (pick-wt=29): 711 [copy,576,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(A),c_Transcendental_Ocos(B),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(A),c_Transcendental_Osin(B),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(B),c_Transcendental_Osin(A),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(B),c_Transcendental_Ocos(A),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.67 >>>> Starting back demodulation with 579.
% 164.55/164.67 >>>> Starting back demodulation with 583.
% 164.55/164.67 >>>> Starting back demodulation with 586.
% 164.55/164.67 >> back demodulating 367 with 586.
% 164.55/164.67 ** KEPT (pick-wt=7): 713 [copy,588,flip.1] c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)=c_HOL_Ominus__class_Ominus(A,A,tc_RealDef_Oreal).
% 164.55/164.67 >>>> Starting back demodulation with 590.
% 164.55/164.67 >>>> Starting back demodulation with 593.
% 164.55/164.67 >> back demodulating 582 with 593.
% 164.55/164.67 >>>> Starting back demodulation with 596.
% 164.55/164.67 >> back demodulating 546 with 596.
% 164.55/164.67 >> back demodulating 543 with 596.
% 164.55/164.67 >>>> Starting back demodulation with 599.
% 164.55/164.67 >>>> Starting back demodulation with 604.
% 164.55/164.67 >> back demodulating 431 with 604.
% 164.55/164.67 >>>> Starting back demodulation with 606.
% 164.55/164.67 >>>> Starting back demodulation with 608.
% 164.55/164.67 >>>> Starting back demodulation with 610.
% 164.55/164.67 >> back demodulating 536 with 610.
% 164.55/164.67 >>>> Starting back demodulation with 612.
% 164.55/164.67 Following clause subsumed by 614 during input processing: 0 [copy,614,flip.1] c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,A,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.67 Following clause subsumed by 615 during input processing: 0 [copy,615,flip.1] c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(B,A,tc_RealDef_Oreal).
% 164.55/164.67 >>>> Starting back demodulation with 617.
% 164.55/164.67 >> back demodulating 605 with 617.
% 164.55/164.67 Following clause subsumed by 520 during input processing: 0 [copy,700,flip.1] c_HOL_Ominus__class_Ominus(hAPP(A,B),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(A,C),hAPP(A,B),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(C,B,tc_RealDef_Oreal),tc_RealDef_Oreal),B,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ominus__class_Ominus(hAPP(A,C),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(A,C),hAPP(A,B),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(C,B,tc_RealDef_Oreal),tc_RealDef_Oreal),C,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.67 Following clause subsumed by 529 during input processing: 0 [copy,704,flip.1] c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal))=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(A),c_Transcendental_Ocos(B),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(A),c_Transcendental_Osin(B),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.67 Following clause subsumed by 571 during input processing: 0 [copy,709,flip.1] c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal))=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(B),c_Transcendental_Ocos(A),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(B),c_Transcendental_Osin(A),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 164.55/164.67 Following clause subsumed by 572 during input processing: 0 [copy,710,flip.1] c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(A,B,tc_RealDef_Oreal))=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(A),c_Transcendental_Ocos(B),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(A),c_Transcendental_Osin(B),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 165.55/165.66 Following clause subsumed by 576 during input processing: 0 [copy,711,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(A),c_Transcendental_Osin(B),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(A),c_Transcendental_Ocos(B),tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(B),c_Transcendental_Ocos(A),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(B),c_Transcendental_Osin(A),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 165.55/165.66 Following clause subsumed by 588 during input processing: 0 [copy,713,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 165.55/165.66 >>>> Starting back demodulation with 715.
% 165.55/165.66 >>>> Starting back demodulation with 717.
% 165.55/165.66 >>>> Starting back demodulation with 719.
% 165.55/165.66 >>>> Starting back demodulation with 722.
% 165.55/165.66 >>>> Starting back demodulation with 724.
% 165.55/165.66
% 165.55/165.66 ======= end of input processing =======
% 165.55/165.66
% 165.55/165.66 =========== start of search ===========
% 165.55/165.66
% 165.55/165.66
% 165.55/165.66 Resetting weight limit to 2.
% 165.55/165.66
% 165.55/165.66
% 165.55/165.66 Resetting weight limit to 2.
% 165.55/165.66
% 165.55/165.66 sos_size=151
% 165.55/165.66
% 165.55/165.66 Search stopped because sos empty.
% 165.55/165.66
% 165.55/165.66
% 165.55/165.66 Search stopped because sos empty.
% 165.55/165.66
% 165.55/165.66 ============ end of search ============
% 165.55/165.66
% 165.55/165.66 -------------- statistics -------------
% 165.55/165.66 clauses given 152
% 165.55/165.66 clauses generated 81155
% 165.55/165.66 clauses kept 629
% 165.55/165.66 clauses forward subsumed 116
% 165.55/165.66 clauses back subsumed 8
% 165.55/165.66 Kbytes malloced 11718
% 165.55/165.66
% 165.55/165.66 ----------- times (seconds) -----------
% 165.55/165.66 user CPU time 1.06 (0 hr, 0 min, 1 sec)
% 165.55/165.66 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 165.55/165.66 wall-clock time 165 (0 hr, 2 min, 45 sec)
% 165.55/165.66
% 165.55/165.66 Process 6960 finished Wed Jul 27 03:45:55 2022
% 165.55/165.66 Otter interrupted
% 165.55/165.66 PROOF NOT FOUND
%------------------------------------------------------------------------------