TSTP Solution File: ALG342-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : ALG342-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 12:46:33 EDT 2022
% Result : Unknown 240.84s 240.91s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG342-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 03:28:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 240.52/240.61 ----- Otter 3.3f, August 2004 -----
% 240.52/240.61 The process was started by sandbox2 on n007.cluster.edu,
% 240.52/240.61 Wed Jul 27 03:28:31 2022
% 240.52/240.61 The command was "./otter". The process ID is 26555.
% 240.52/240.61
% 240.52/240.61 set(prolog_style_variables).
% 240.52/240.61 set(auto).
% 240.52/240.61 dependent: set(auto1).
% 240.52/240.61 dependent: set(process_input).
% 240.52/240.61 dependent: clear(print_kept).
% 240.52/240.61 dependent: clear(print_new_demod).
% 240.52/240.61 dependent: clear(print_back_demod).
% 240.52/240.61 dependent: clear(print_back_sub).
% 240.52/240.61 dependent: set(control_memory).
% 240.52/240.61 dependent: assign(max_mem, 12000).
% 240.52/240.61 dependent: assign(pick_given_ratio, 4).
% 240.52/240.61 dependent: assign(stats_level, 1).
% 240.52/240.61 dependent: assign(max_seconds, 10800).
% 240.52/240.61 clear(print_given).
% 240.52/240.61
% 240.52/240.61 list(usable).
% 240.52/240.61 0 [] A=A.
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)| -c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a).
% 240.52/240.61 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 240.52/240.61 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)|c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 240.52/240.61 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)| -c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(V_b,V_a,T_a).
% 240.52/240.61 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_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 240.52/240.61 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_Otimes__class_Otimes(V_a,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a).
% 240.52/240.61 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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a).
% 240.52/240.61 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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)| -c_lesse_quals(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_lesse_quals(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a).
% 240.52/240.61 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_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_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).
% 240.52/240.61 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_HOL_Oord__class_Oless(V_c,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).
% 240.52/240.61 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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 240.52/240.61 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_HOL_Oord__class_Oless(V_c,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).
% 240.52/240.61 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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 240.52/240.61 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_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a).
% 240.52/240.61 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_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 240.52/240.61 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_Otimes__class_Otimes(V_a,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a).
% 240.52/240.61 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_HOL_Oord__class_Oless(V_c,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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,V_p,T_a),V_x,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_x,c_Polynomial_Opoly(V_p,V_x,T_a),T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_Polynomial_Opos__poly(c_Polynomial_OpCons(V_a,V_p,T_a),T_a)| -c_Polynomial_Opos__poly(V_p,T_a).
% 240.52/240.61 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_r,V_s,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal).
% 240.52/240.61 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).
% 240.52/240.61 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.
% 240.52/240.61 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.
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 240.52/240.61 0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)| -c_HOL_Oord__class_Oless(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 240.52/240.61 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a).
% 240.52/240.61 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 240.52/240.61 0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 240.52/240.61 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 240.52/240.61 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 240.52/240.61 0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 240.52/240.61 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.
% 240.52/240.61 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.
% 240.52/240.61 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.
% 240.52/240.61 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.
% 240.52/240.61 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).
% 240.52/240.61 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.
% 240.52/240.61 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.
% 240.52/240.61 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.
% 240.52/240.61 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_HOL_Osgn__class_Osgn(V_x,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Osgn__class_Osgn(V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.61 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).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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_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).
% 240.52/240.62 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).
% 240.52/240.62 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_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_lesse_quals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a)|c_lesse_quals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.62 0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)| -c_lesse_quals(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 240.52/240.62 0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)| -c_HOL_Oord__class_Oless(V_c,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 240.52/240.62 0 [] c_HOL_Oord__class_Oless(V_y,c_RealDef_Oreal__of__preal(V_x),tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal).
% 240.52/240.62 0 [] V_x=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 240.52/240.62 0 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(V_m),tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(V_xa),tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_HOL_Oord__class_Oless(c_Transcendental_Oln(V_x),c_Transcendental_Oln(V_y),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_Transcendental_Oln(V_x),c_Transcendental_Oln(V_y),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_Transcendental_Oln(V_x)!=c_Transcendental_Oln(V_y)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)|V_x=V_y.
% 240.52/240.62 0 [] c_HOL_Oord__class_Oless(c_Transcendental_Oln(V_x),V_x,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_lesse_quals(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(V_c,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a)| -c_lesse_quals(V_w,V_z,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)| -c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a).
% 240.52/240.62 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)| -c_lesse_quals(V_b,V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 240.52/240.62 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 240.52/240.62 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)| -c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)| -c_HOL_Oord__class_Oless(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).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a)| -c_lesse_quals(V_w,V_z,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)| -c_lesse_quals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)| -class_Ring__and__Field_Ono__zero__divisors(T_a)| -class_Ring__and__Field_Omult__zero(T_a)| -class_Power_Opower(T_a)|c_Power_Opower__class_Opower(V_a,V_n,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)|c_Power_Opower__class_Opower(V_a,V_n,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Osgn__if(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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.
% 240.52/240.62 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).
% 240.52/240.62 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 0 [] -class_OrderedGroup_Oab__semigroup__idem__mult(T_a)|c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)=V_x.
% 240.52/240.62 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_q,T_a)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),c_Power_Opower__class_Opower(V_y,V_q,T_a),T_a).
% 240.52/240.62 0 [] -class_OrderedGroup_Ocomm__monoid__mult(T_a)|c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_n,T_a)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(V_a,T_a),T_a)=c_HOL_Osgn__class_Osgn(V_a,T_a).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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.
% 240.52/240.62 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.
% 240.52/240.62 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.
% 240.52/240.62 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.
% 240.52/240.62 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.
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 0 [] -class_OrderedGroup_Omonoid__mult(T_a)|c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a)=c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a).
% 240.52/240.62 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).
% 240.52/240.62 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.
% 240.52/240.62 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.
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 0 [] -class_RealVector_Oreal__normed__div__algebra(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_x,T_a),c_HOL_Osgn__class_Osgn(V_y,T_a),T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Osgn__class_Osgn(V_b,T_a),T_a).
% 240.52/240.62 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).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a).
% 240.52/240.62 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.62 0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__semiring(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__semiring(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a)| -c_HOL_Oord__class_Oless(V_w,V_z,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)| -c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a).
% 240.52/240.62 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,V_c,T_a)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_lesse_quals(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_lesse_quals(V_b,V_a,T_a)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 240.52/240.62 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_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 240.52/240.62 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_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a).
% 240.52/240.62 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_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 240.52/240.62 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_a,T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_lesse_quals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a).
% 240.52/240.62 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a),T_a)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)|c_Polynomial_Opos__poly(V_p,T_a)| -c_Polynomial_Opos__poly(c_Polynomial_OpCons(V_a,V_p,T_a),T_a).
% 240.52/240.62 0 [] c_lesse_quals(c_Transcendental_Oln(V_x),c_Transcendental_Oln(V_y),tc_RealDef_Oreal)| -c_lesse_quals(V_x,V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_lesse_quals(V_x,V_y,tc_RealDef_Oreal)| -c_lesse_quals(c_Transcendental_Oln(V_x),c_Transcendental_Oln(V_y),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_HOL_Oord__class_Oless(c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1(V_x,V_y),V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_HOL_Oord__class_Oless(V_x,c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1(V_x,V_y),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_HOL_Oord__class_Oless(V_y,c_RealDef_Oreal__of__preal(V_x),tc_RealDef_Oreal)| -c_lesse_quals(V_y,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_lesse_quals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(V_x,V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_lesse_quals(V_x,V_y,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_lesse_quals(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(V_x,V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_lesse_quals(V_x,V_y,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal).
% 240.52/240.62 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_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).
% 240.52/240.62 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__local__XpCons__Xhyps__1(v_cs____,v_r),tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__local__XpCons__1(v_cs____,v_r),tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__local__XpCons__1(v_cs____,v_r),tc_RealDef_Oreal)| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_m____,tc_RealDef_Oreal)| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__local__XpCons__Xhyps__1(v_cs____,v_r),tc_RealDef_Oreal)| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal).
% 240.52/240.62 0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 240.52/240.62 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 240.52/240.62 0 [] c_lesse_quals(V_w,V_z,tc_RealDef_Oreal)|c_lesse_quals(V_z,V_w,tc_RealDef_Oreal).
% 240.52/240.62 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 240.52/240.62 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 240.52/240.62 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 240.52/240.62 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).
% 240.52/240.62 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 240.52/240.62 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 240.52/240.62 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).
% 240.52/240.62 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 240.52/240.62 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 240.52/240.62 0 [] c_lesse_quals(V_w,V_w,tc_RealDef_Oreal).
% 240.52/240.62 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).
% 240.52/240.62 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 240.52/240.62 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 240.52/240.62 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 240.52/240.62 0 [] c_lesse_quals(V_x,V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal).
% 240.52/240.62 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 240.52/240.62 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 240.52/240.62 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 240.52/240.62 0 [] -c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal).
% 240.52/240.62 0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 240.52/240.62 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|V_a=V_b| -c_lesse_quals(V_b,V_a,T_a).
% 240.52/240.62 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_lesse_quals(V_b,V_a,T_a)|V_a=V_b.
% 240.52/240.62 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 240.52/240.62 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 240.52/240.62 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a)|V_a=V_b.
% 240.52/240.62 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)|V_a=V_b| -c_lesse_quals(V_a,V_b,T_a).
% 240.52/240.62 0 [] c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)|V_x=V_y| -c_lesse_quals(V_x,V_y,tc_RealDef_Oreal).
% 240.52/240.62 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 240.52/240.62 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 240.52/240.62 0 [] -class_HOL_Ozero(T_a)|c_Polynomial_OpCons(V_a,V_p,T_a)!=c_Polynomial_OpCons(V_b,V_q,T_a)|V_a=V_b.
% 240.52/240.62 0 [] -class_HOL_Ozero(T_a)|c_Polynomial_OpCons(V_a,V_p,T_a)!=c_Polynomial_OpCons(V_b,V_q,T_a)|V_p=V_q.
% 240.52/240.62 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 240.52/240.62 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y.
% 240.52/240.62 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 240.52/240.62 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 240.52/240.62 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y.
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),tc_RealDef_Oreal).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 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).
% 240.52/240.62 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 240.52/240.62 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 240.52/240.62 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 240.52/240.62 0 [] -class_Orderings_Opreorder(T_a)| -c_lesse_quals(V_y,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 240.52/240.62 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_lesse_quals(V_y,V_x,T_a).
% 240.52/240.62 0 [] -class_Orderings_Olinorder(T_a)| -c_lesse_quals(V_x,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 240.52/240.62 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_x,T_a)|c_lesse_quals(V_x,V_x,T_a).
% 240.52/240.62 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 240.52/240.62 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 240.52/240.62 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 240.52/240.62 0 [] -class_Orderings_Olinorder(T_a)| -c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 240.52/240.62 0 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 240.52/240.62 0 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(v_x(V_xa),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa,tc_RealDef_Oreal).
% 240.52/240.62 0 [] -c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(V_xa),tc_Complex_Ocomplex),tc_Complex_Ocomplex),V_xa,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa,tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocancel__comm__monoid__add(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__ring__1(T_1).
% 240.52/240.62 0 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_RealVector_Oreal__normed__field(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Osemiring(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Ofield(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Oidom(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Orderings_Opreorder(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Orderings_Olinorder(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Orderings_Oorder(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Int_Onumber__ring(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Power_Opower(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_HOL_Ozero(tc_RealDef_Oreal).
% 240.52/240.62 0 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_Ring__and__Field_Ofield(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_Ring__and__Field_Oidom(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_Int_Onumber__ring(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_Power_Opower(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_HOL_Ozero(tc_Complex_Ocomplex).
% 240.52/240.62 0 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 240.52/240.62 0 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oidom(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 240.52/240.62 0 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 240.52/240.62 0 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oidom(T_1).
% 240.52/240.62 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocancel__comm__monoid__add(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 240.52/240.62 0 [] class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 240.52/240.62 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocancel__comm__monoid__add(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oidom(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 240.52/240.62 0 [] class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 240.52/240.62 0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 240.52/240.62 0 [] class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocomm__monoid__add(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 240.52/240.62 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocomm__monoid__add(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 240.52/240.62 0 [] class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Oab__group__add(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 240.52/240.62 0 [] class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 240.52/240.62 0 [] class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocomm__monoid__add(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 240.52/240.62 0 [] class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oidom(T_1).
% 240.52/240.62 0 [] class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 240.52/240.62 0 [] class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 240.52/240.62 0 [] class_Orderings_Oorder(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 240.52/240.62 0 [] class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__ring__1(T_1).
% 240.52/240.62 0 [] class_Power_Opower(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 240.52/240.62 0 [] class_HOL_Ozero(tc_Polynomial_Opoly(T_1))| -class_HOL_Ozero(T_1).
% 240.52/240.62 end_of_list.
% 240.52/240.62
% 240.52/240.62 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 240.52/240.62
% 240.52/240.62 This ia a non-Horn set with equality. The strategy will be
% 240.52/240.62 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 240.52/240.62 deletion, with positive clauses in sos and nonpositive
% 240.52/240.62 clauses in usable.
% 240.52/240.62
% 240.52/240.62 dependent: set(knuth_bendix).
% 240.52/240.62 dependent: set(anl_eq).
% 240.52/240.62 dependent: set(para_from).
% 240.52/240.62 dependent: set(para_into).
% 240.52/240.62 dependent: clear(para_from_right).
% 240.52/240.62 dependent: clear(para_into_right).
% 240.52/240.62 dependent: set(para_from_vars).
% 240.52/240.62 dependent: set(eq_units_both_ways).
% 240.52/240.62 dependent: set(dynamic_demod_all).
% 240.52/240.62 dependent: set(dynamic_demod).
% 240.52/240.62 dependent: set(order_eq).
% 240.52/240.62 dependent: set(back_demod).
% 240.52/240.62 dependent: set(lrpo).
% 240.52/240.62 dependent: set(hyper_res).
% 240.52/240.62 dependent: set(unit_deletion).
% 240.52/240.62 dependent: set(factor).
% 240.52/240.62
% 240.52/240.62 ------------> process usable:
% 240.52/240.62 ** KEPT (pick-wt=14): 1 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=14): 2 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(B,A),c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=22): 3 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(B,C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=22): 4 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(B,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.62 ** KEPT (pick-wt=20): 5 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(B,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.62 ** KEPT (pick-wt=20): 6 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(B,C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=22): 7 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(C,B,A),c_HOL_Otimes__class_Otimes(D,B,A),A).
% 240.52/240.62 ** KEPT (pick-wt=22): 8 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 240.52/240.62 ** KEPT (pick-wt=26): 9 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,c_HOL_Oinverse__class_Odivide(C,D,A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 240.52/240.62 ** KEPT (pick-wt=26): 10 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Oinverse__class_Odivide(D,C,A),A).
% 240.52/240.62 ** KEPT (pick-wt=26): 11 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 240.52/240.62 ** KEPT (pick-wt=26): 12 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(D,C,A),B,A).
% 240.52/240.62 ** KEPT (pick-wt=15): 13 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,B,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.62 ** KEPT (pick-wt=15): 14 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,B,A),A).
% 240.52/240.62 ** KEPT (pick-wt=22): 15 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(C,B,A),A).
% 240.52/240.62 ** KEPT (pick-wt=22): 16 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(B,C,A),A).
% 240.52/240.62 ** KEPT (pick-wt=22): 17 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(C,B,A),A).
% 240.52/240.62 ** KEPT (pick-wt=22): 18 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(B,C,A),A).
% 240.52/240.62 ** KEPT (pick-wt=18): 19 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 240.52/240.62 ** KEPT (pick-wt=20): 20 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 240.52/240.62 ** KEPT (pick-wt=20): 21 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.62 Following clause subsumed by 20 during input processing: 0 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=20): 22 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A).
% 240.52/240.62 ** KEPT (pick-wt=20): 23 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(C,B,A),A).
% 240.52/240.62 ** KEPT (pick-wt=20): 24 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.62 ** KEPT (pick-wt=20): 25 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=15): 26 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=15): 27 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,B,A),c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=15): 28 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,B,A),c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=15): 29 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=14): 30 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Osgn__class_Osgn(B,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.62 ** KEPT (pick-wt=14): 31 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Osgn__class_Osgn(B,A),A).
% 240.52/240.62 ** KEPT (pick-wt=15): 32 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=20): 33 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=22): 34 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(C,B,A),c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=21): 35 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 240.52/240.62 ** KEPT (pick-wt=21): 36 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,B,A).
% 240.52/240.62 ** KEPT (pick-wt=10): 37 [] -class_Ring__and__Field_Oordered__ring__strict(A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,B,A),c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=15): 38 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.62 ** KEPT (pick-wt=20): 39 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.62 ** KEPT (pick-wt=20): 40 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=20): 41 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.62 Following clause subsumed by 41 during input processing: 0 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.62 Following clause subsumed by 40 during input processing: 0 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=21): 42 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,C,A),c_HOL_Otimes__class_Otimes(D,B,A),A).
% 240.52/240.62 ** KEPT (pick-wt=21): 43 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 240.52/240.62 ** KEPT (pick-wt=21): 44 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(C,D,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 240.52/240.62 ** KEPT (pick-wt=21): 45 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(C,B,A),c_HOL_Otimes__class_Otimes(D,B,A),A).
% 240.52/240.62 ** KEPT (pick-wt=29): 46 [] -class_Ring__and__Field_Oordered__field(A)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(B,D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(C,D,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(D,C,A).
% 240.52/240.62 ** KEPT (pick-wt=31): 47 [] -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(B,D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(C,D,A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(C,D,A).
% 240.52/240.62 ** KEPT (pick-wt=23): 48 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(B,c_HOL_Otimes__class_Otimes(C,D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lesse_quals(c_HOL_Oinverse__class_Odivide(B,D,A),C,A).
% 240.52/240.62 ** KEPT (pick-wt=23): 49 [] -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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(B,c_HOL_Otimes__class_Otimes(D,C,A),A).
% 240.52/240.62 ** KEPT (pick-wt=23): 50 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(B,c_HOL_Oinverse__class_Odivide(D,C,A),A).
% 240.52/240.62 ** KEPT (pick-wt=23): 51 [] -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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(B,D,A),C,A).
% 240.52/240.62 ** KEPT (pick-wt=21): 52 [] -class_Ring__and__Field_Oordered__field(A)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)| -c_lesse_quals(B,c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 240.52/240.62 ** KEPT (pick-wt=21): 53 [] -class_Ring__and__Field_Oordered__field(A)|c_lesse_quals(B,c_HOL_Oinverse__class_Odivide(C,D,A),A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(B,D,A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 240.52/240.62 ** KEPT (pick-wt=30): 54 [] -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_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),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).
% 240.52/240.62 ** KEPT (pick-wt=30): 55 [] -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_HOL_Oord__class_Oless(D,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).
% 240.52/240.62 ** KEPT (pick-wt=28): 56 [] -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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 240.52/240.62 ** KEPT (pick-wt=28): 57 [] -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_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Otimes__class_Otimes(D,C,A),A).
% 240.52/240.62 ** KEPT (pick-wt=28): 58 [] -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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 240.52/240.62 ** KEPT (pick-wt=28): 59 [] -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_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(B,D,A),C,A).
% 240.52/240.62 ** KEPT (pick-wt=28): 60 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),D,A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Oinverse__class_Odivide(D,C,A),B,A).
% 240.52/240.62 ** KEPT (pick-wt=28): 61 [] -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_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(D,C,A),B,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
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% 240.52/240.62 ** KEPT (pick-wt=28): 114 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,c_HOL_Oinverse__class_Odivide(C,D,A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,D,A),C,A).
% 240.52/240.62 ** KEPT (pick-wt=29): 115 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(B,D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(C,D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(D,C,A).
% 240.52/240.62 ** KEPT (pick-wt=29): 116 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(B,D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(C,D,A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,D,A).
% 240.52/240.62 ** KEPT (pick-wt=9): 117 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 240.52/240.62 ** KEPT (pick-wt=9): 118 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 240.52/240.62 ** KEPT (pick-wt=9): 119 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 240.52/240.62 Following clause subsumed by 117 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.
% 240.52/240.62 ** KEPT (pick-wt=11): 121 [copy,120,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.
% 240.52/240.62 ** KEPT (pick-wt=9): 122 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 240.52/240.62 ** KEPT (pick-wt=9): 123 [] -class_OrderedGroup_Omonoid__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 240.52/240.62 ** KEPT (pick-wt=9): 124 [] -class_OrderedGroup_Omonoid__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 240.52/240.62 ** KEPT (pick-wt=12): 125 [] -class_RealVector_Oreal__normed__vector(A)|c_HOL_Osgn__class_Osgn(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 240.52/240.62 ** KEPT (pick-wt=12): 126 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Osgn__class_Osgn(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 240.52/240.62 ** KEPT (pick-wt=10): 127 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=12): 128 [] -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).
% 240.52/240.62 Following clause subsumed by 128 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).
% 240.52/240.62 ** KEPT (pick-wt=10): 129 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=11): 130 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=14): 132 [copy,131,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).
% 240.52/240.62 ** KEPT (pick-wt=22): 133 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=22): 134 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(C,B,A),c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=22): 135 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=21): 136 [] -class_Ring__and__Field_Oordered__comm__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(C,D,A).
% 240.52/240.62 ** KEPT (pick-wt=21): 137 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_HOL_Oord__class_Oless(D,B,A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=21): 138 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 240.52/240.62 ** KEPT (pick-wt=21): 139 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 240.52/240.62 Following clause subsumed by 137 during input processing: 0 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,B,A).
% 240.52/240.62 ** KEPT (pick-wt=21): 140 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=21): 141 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.62 ** KEPT (pick-wt=21): 142 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(C,D,A).
% 240.52/240.62 Following clause subsumed by 140 during input processing: 0 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,C,A).
% 240.52/240.62 Following clause subsumed by 141 during input processing: 0 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.62 ** KEPT (pick-wt=21): 143 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,B,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 240.52/240.62 Following clause subsumed by 140 during input processing: 0 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=21): 144 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,C,A),c_HOL_Otimes__class_Otimes(D,B,A),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=20): 145 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=15): 146 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=15): 147 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=22): 148 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=22): 149 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=22): 150 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=22): 151 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=22): 152 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=22): 153 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=15): 154 [] -class_Ring__and__Field_Oordered__semidom(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.62 ** KEPT (pick-wt=15): 155 [] -class_Ring__and__Field_Oordered__idom(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.62 ** KEPT (pick-wt=15): 156 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=15): 157 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=20): 158 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=20): 159 [] -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).
% 240.52/240.62 Following clause subsumed by 159 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).
% 240.52/240.62 ** KEPT (pick-wt=20): 160 [] -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).
% 240.52/240.62 Following clause subsumed by 159 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).
% 240.52/240.62 Following clause subsumed by 160 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).
% 240.52/240.62 ** KEPT (pick-wt=20): 161 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=20): 162 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=30): 163 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=30): 164 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=20): 165 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=20): 166 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=20): 167 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=20): 168 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=20): 169 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=20): 170 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=20): 171 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=10): 172 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=20): 173 [] -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).
% 240.52/240.62 Following clause subsumed by 173 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).
% 240.52/240.62 ** KEPT (pick-wt=20): 174 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=23): 175 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=23): 176 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=21): 177 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=21): 178 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=21): 179 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=21): 180 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=21): 181 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=20): 182 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=20): 183 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=20): 184 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=20): 185 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=23): 186 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=23): 187 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=22): 188 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=22): 189 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=20): 190 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=20): 191 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=17): 193 [copy,192,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).
% 240.52/240.62 ** KEPT (pick-wt=22): 194 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=22): 195 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=22): 196 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=22): 197 [] -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).
% 240.52/240.62 ** KEPT (pick-wt=21): 198 [] -class_Ring__and__Field_Oordered__semidom(A)|c_lesse_quals(c_Power_Opower__class_Opower(B,C,A),c_Power_Opower__class_Opower(D,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(B,D,A).
% 240.52/240.62 ** KEPT (pick-wt=19): 199 [] -class_Ring__and__Field_Oordered__idom(A)|B=c_HOL_Ozero__class_Ozero(A)|c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_Power_Opower__class_Opower(B,C,A),c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.62 ** KEPT (pick-wt=20): 200 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A)| -c_lesse_quals(C,E,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 240.52/240.62 ** KEPT (pick-wt=20): 201 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A)| -c_HOL_Oord__class_Oless(C,E,A)| -c_lesse_quals(B,D,A).
% 240.52/240.62 ** KEPT (pick-wt=10): 202 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 240.52/240.62 ** KEPT (pick-wt=20): 203 [] c_HOL_Oord__class_Oless(c_Transcendental_Oln(A),c_Transcendental_Oln(B),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(A,B,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 240.52/240.62 ** KEPT (pick-wt=20): 204 [] c_HOL_Oord__class_Oless(A,B,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_Transcendental_Oln(A),c_Transcendental_Oln(B),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 240.52/240.62 ** KEPT (pick-wt=18): 205 [] c_Transcendental_Oln(A)!=c_Transcendental_Oln(B)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal)|A=B.
% 240.52/240.62 ** KEPT (pick-wt=10): 206 [] c_HOL_Oord__class_Oless(c_Transcendental_Oln(A),A,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 240.52/240.62 ** KEPT (pick-wt=18): 207 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 240.52/240.62 ** KEPT (pick-wt=19): 208 [] c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(B,C,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 240.52/240.62 ** KEPT (pick-wt=19): 209 [] c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(C,B,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(A,C,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=19): 210 [] c_HOL_Oord__class_Oless(A,B,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),C,tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=30): 211 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lesse_quals(C,E,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 240.52/240.63 ** KEPT (pick-wt=30): 212 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(C,E,A)| -c_lesse_quals(B,D,A).
% 240.52/240.63 ** KEPT (pick-wt=30): 213 [] -class_Ring__and__Field_Oordered__field(A)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,E,A),A)| -c_lesse_quals(E,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),E,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.63 ** KEPT (pick-wt=20): 214 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)| -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 240.52/240.63 ** KEPT (pick-wt=20): 215 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,C,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.63 ** KEPT (pick-wt=20): 216 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(B,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.63 ** KEPT (pick-wt=20): 217 [] -class_Ring__and__Field_Oordered__field(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(B,C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.63 ** KEPT (pick-wt=20): 218 [] -class_Ring__and__Field_Oordered__field(A)|c_lesse_quals(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(B,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.63 ** KEPT (pick-wt=30): 219 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,E,A),A)| -c_lesse_quals(E,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),E,A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.63 ** KEPT (pick-wt=30): 220 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(C,E,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 240.52/240.63 ** KEPT (pick-wt=20): 221 [] -class_Ring__and__Field_Oordered__field(A)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.63 ** KEPT (pick-wt=13): 222 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=17): 223 [] -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).
% 240.52/240.63 Following clause subsumed by 223 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).
% 240.52/240.63 ** KEPT (pick-wt=17): 224 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=19): 225 [] -class_Ring__and__Field_Ozero__ne_q__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 240.52/240.63 ** KEPT (pick-wt=13): 226 [] -class_Ring__and__Field_Oring__1__no__zero__divisors(A)|c_Power_Opower__class_Opower(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 240.52/240.63 Following clause subsumed by 129 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).
% 240.52/240.63 ** KEPT (pick-wt=10): 227 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=10): 228 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=10): 229 [] -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).
% 240.52/240.63 Following clause subsumed by 229 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).
% 240.52/240.63 ** KEPT (pick-wt=10): 230 [] -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).
% 240.52/240.63 Following clause subsumed by 230 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).
% 240.52/240.63 Following clause subsumed by 227 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).
% 240.52/240.63 ** KEPT (pick-wt=10): 231 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=10): 232 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=10): 233 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=10): 234 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=9): 235 [] -class_RealVector_Oreal__normed__vector(A)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 240.52/240.63 ** KEPT (pick-wt=9): 236 [] -class_Ring__and__Field_Osgn__if(A)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 240.52/240.63 ** KEPT (pick-wt=9): 237 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 240.52/240.63 Following clause subsumed by 128 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).
% 240.52/240.63 ** KEPT (pick-wt=20): 239 [copy,238,flip.2] -class_RealVector_Oreal__normed__field(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 240.52/240.63 ** KEPT (pick-wt=20): 241 [copy,240,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).
% 240.52/240.63 ** KEPT (pick-wt=19): 242 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=23): 243 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=23): 244 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=26): 246 [copy,245,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).
% 240.52/240.63 ** KEPT (pick-wt=17): 247 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=17): 248 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=17): 249 [] -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).
% 240.52/240.63 Following clause subsumed by 247 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).
% 240.52/240.63 ** KEPT (pick-wt=17): 250 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=17): 251 [] -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).
% 240.52/240.63 Following clause subsumed by 247 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).
% 240.52/240.63 ** KEPT (pick-wt=17): 252 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=17): 253 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=11): 254 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,C,A)=c_HOL_Otimes__class_Otimes(C,B,A).
% 240.52/240.63 Following clause subsumed by 254 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).
% 240.52/240.63 ** KEPT (pick-wt=25): 255 [] -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).
% 240.52/240.63 Following clause subsumed by 255 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).
% 240.52/240.63 ** KEPT (pick-wt=23): 256 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=23): 257 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=23): 258 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=17): 259 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 240.52/240.63 Following clause subsumed by 259 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).
% 240.52/240.63 ** KEPT (pick-wt=15): 260 [] -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.
% 240.52/240.63 Following clause subsumed by 260 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.
% 240.52/240.63 ** KEPT (pick-wt=22): 261 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A).
% 240.52/240.63 ** KEPT (pick-wt=25): 262 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=14): 263 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=26): 264 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=19): 265 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=19): 266 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=8): 267 [] -class_OrderedGroup_Oab__semigroup__idem__mult(A)|c_HOL_Otimes__class_Otimes(B,B,A)=B.
% 240.52/240.63 ** KEPT (pick-wt=20): 268 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A).
% 240.52/240.63 ** KEPT (pick-wt=20): 269 [] -class_OrderedGroup_Ocomm__monoid__mult(A)|c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A).
% 240.52/240.63 ** KEPT (pick-wt=17): 270 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=17): 271 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=17): 272 [] -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).
% 240.52/240.63 Following clause subsumed by 272 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).
% 240.52/240.63 ** KEPT (pick-wt=17): 273 [] -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).
% 240.52/240.63 Following clause subsumed by 272 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).
% 240.52/240.63 ** KEPT (pick-wt=20): 274 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=20): 275 [] -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).
% 240.52/240.63 Following clause subsumed by 275 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).
% 240.52/240.63 ** KEPT (pick-wt=20): 276 [] -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).
% 240.52/240.63 Following clause subsumed by 276 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).
% 240.52/240.63 ** KEPT (pick-wt=20): 277 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=20): 278 [] -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).
% 240.52/240.63 Following clause subsumed by 274 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,D,A),C,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A).
% 240.52/240.63 ** KEPT (pick-wt=11): 279 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(B,A),A)=c_HOL_Osgn__class_Osgn(B,A).
% 240.52/240.63 ** KEPT (pick-wt=26): 280 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=26): 281 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=23): 282 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=16): 283 [] -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.
% 240.52/240.63 ** KEPT (pick-wt=14): 284 [] -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.
% 240.52/240.63 ** KEPT (pick-wt=14): 285 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(B,D,A)|C=D.
% 240.52/240.63 ** KEPT (pick-wt=14): 286 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(D,C,A)|B=D.
% 240.52/240.63 ** KEPT (pick-wt=20): 287 [] -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.
% 240.52/240.63 ** KEPT (pick-wt=11): 288 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 240.52/240.63 Following clause subsumed by 288 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).
% 240.52/240.63 ** KEPT (pick-wt=11): 289 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 240.52/240.63 ** KEPT (pick-wt=17): 290 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=17): 291 [] -class_OrderedGroup_Omonoid__mult(A)|c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(B,C,A),B,A)=c_HOL_Otimes__class_Otimes(B,c_Power_Opower__class_Opower(B,C,A),A).
% 240.52/240.63 ** KEPT (pick-wt=15): 293 [copy,292,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).
% 240.52/240.63 ** KEPT (pick-wt=31): 294 [] -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.
% 240.52/240.63 Following clause subsumed by 294 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.
% 240.52/240.63 ** KEPT (pick-wt=37): 295 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=17): 297 [copy,296,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).
% 240.52/240.63 Following clause subsumed by 297 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).
% 240.52/240.63 ** KEPT (pick-wt=24): 298 [] -class_Ring__and__Field_Ofield(A)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A)|C=c_HOL_Ozero__class_Ozero(A).
% 240.52/240.63 ** KEPT (pick-wt=19): 299 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=28): 300 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=28): 301 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=17): 302 [] -class_RealVector_Oreal__normed__div__algebra(A)|c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(B,A),c_HOL_Osgn__class_Osgn(C,A),A).
% 240.52/240.63 ** KEPT (pick-wt=17): 303 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(B,A),c_HOL_Osgn__class_Osgn(C,A),A).
% 240.52/240.63 Following clause subsumed by 293 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).
% 240.52/240.63 ** KEPT (pick-wt=20): 304 [] -class_Ring__and__Field_Oordered__field(A)|c_lesse_quals(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.63 ** KEPT (pick-wt=20): 305 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(B,c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.63 ** KEPT (pick-wt=20): 306 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lesse_quals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.63 ** KEPT (pick-wt=21): 307 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(B,D,A),c_Power_Opower__class_Opower(C,D,A),A).
% 240.52/240.63 ** KEPT (pick-wt=21): 308 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 240.52/240.63 ** KEPT (pick-wt=21): 309 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,B,A),c_HOL_Otimes__class_Otimes(D,C,A),A).
% 240.52/240.63 ** KEPT (pick-wt=21): 310 [] -class_Ring__and__Field_Oordered__semiring(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 240.52/240.63 ** KEPT (pick-wt=21): 311 [] -class_Ring__and__Field_Oordered__semiring(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,B,A),c_HOL_Otimes__class_Otimes(D,C,A),A).
% 240.52/240.63 ** KEPT (pick-wt=30): 312 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(C,E,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 240.52/240.63 ** KEPT (pick-wt=30): 313 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,E,A),A)| -c_HOL_Oord__class_Oless(E,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),E,A)| -c_lesse_quals(B,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.63 ** KEPT (pick-wt=20): 314 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)| -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(A),C,A).
% 240.52/240.63 ** KEPT (pick-wt=21): 315 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 240.52/240.63 ** KEPT (pick-wt=21): 316 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(D,B,A),c_HOL_Otimes__class_Otimes(D,C,A),A).
% 240.52/240.63 ** KEPT (pick-wt=21): 317 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_lesse_quals(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 240.52/240.63 ** KEPT (pick-wt=21): 318 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(D,B,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 240.52/240.63 ** KEPT (pick-wt=21): 319 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_lesse_quals(D,C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.63 ** KEPT (pick-wt=21): 320 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(D,C,A),c_HOL_Otimes__class_Otimes(D,B,A),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A).
% 240.52/240.63 ** KEPT (pick-wt=26): 321 [] -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_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 240.52/240.63 ** KEPT (pick-wt=26): 322 [] -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_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(B,c_HOL_Oinverse__class_Odivide(D,C,A),A).
% 240.52/240.63 ** KEPT (pick-wt=26): 323 [] -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_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 240.52/240.63 ** KEPT (pick-wt=26): 324 [] -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_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lesse_quals(c_HOL_Oinverse__class_Odivide(D,C,A),B,A).
% 240.52/240.63 ** KEPT (pick-wt=11): 325 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(A),A),A)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=16): 326 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)|c_Polynomial_Opos__poly(C,A)| -c_Polynomial_Opos__poly(c_Polynomial_OpCons(B,C,A),A).
% 240.52/240.63 ** KEPT (pick-wt=20): 327 [] c_lesse_quals(c_Transcendental_Oln(A),c_Transcendental_Oln(B),tc_RealDef_Oreal)| -c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=20): 328 [] c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_lesse_quals(c_Transcendental_Oln(A),c_Transcendental_Oln(B),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=15): 329 [] c_HOL_Oord__class_Oless(c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1(A,B),B,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(A,B,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=15): 330 [] c_HOL_Oord__class_Oless(A,c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1(A,B),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(A,B,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=10): 331 [] c_HOL_Oord__class_Oless(A,c_RealDef_Oreal__of__preal(B),tc_RealDef_Oreal)| -c_lesse_quals(A,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=19): 332 [] c_lesse_quals(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(B,C,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=19): 333 [] c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(C,A,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(C,B,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),C,tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=19): 334 [] c_lesse_quals(c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(C,B,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(A,C,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),B,tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=19): 335 [] c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Otimes__class_Otimes(A,C,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(B,C,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),C,tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=22): 336 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=17): 337 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__local__XpCons__1(v_cs____,v_r),tc_RealDef_Oreal)| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=15): 338 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_m____,tc_RealDef_Oreal)| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=17): 339 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__local__XpCons__Xhyps__1(v_cs____,v_r),tc_RealDef_Oreal)| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=10): 340 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 240.52/240.63 ** KEPT (pick-wt=10): 341 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 240.52/240.63 ** KEPT (pick-wt=10): 342 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 240.52/240.63 ** KEPT (pick-wt=10): 343 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 240.52/240.63 Following clause subsumed by 343 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 240.52/240.63 ** KEPT (pick-wt=14): 344 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 240.52/240.63 ** KEPT (pick-wt=14): 345 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,D,A)| -c_HOL_Oord__class_Oless(D,C,A).
% 240.52/240.63 ** KEPT (pick-wt=14): 346 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_lesse_quals(D,C,A).
% 240.52/240.63 ** KEPT (pick-wt=14): 347 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 240.52/240.63 ** KEPT (pick-wt=14): 348 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(D,C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 240.52/240.63 ** KEPT (pick-wt=14): 349 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_lesse_quals(B,D,A).
% 240.52/240.63 ** 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).
% 240.52/240.63 ** KEPT (pick-wt=6): 351 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 240.52/240.63 ** KEPT (pick-wt=6): 352 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 240.52/240.63 ** KEPT (pick-wt=10): 353 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 240.52/240.63 ** KEPT (pick-wt=8): 354 [] c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(A,B,tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=10): 355 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 240.52/240.63 ** KEPT (pick-wt=14): 356 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 240.52/240.63 ** KEPT (pick-wt=6): 357 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 240.52/240.63 ** KEPT (pick-wt=4): 358 [] -c_HOL_Oord__class_Oless(A,A,tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=6): 359 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 240.52/240.63 ** KEPT (pick-wt=6): 360 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 240.52/240.63 ** KEPT (pick-wt=9): 361 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=9): 362 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=13): 363 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B| -c_lesse_quals(B,C,A).
% 240.52/240.63 Following clause subsumed by 363 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|C=B.
% 240.52/240.63 ** KEPT (pick-wt=13): 364 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 240.52/240.63 Following clause subsumed by 364 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C| -c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(B,C,A).
% 240.52/240.63 ** KEPT (pick-wt=13): 365 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|B=C.
% 240.52/240.63 Following clause subsumed by 365 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 240.52/240.63 ** KEPT (pick-wt=11): 366 [] c_HOL_Oord__class_Oless(A,B,tc_RealDef_Oreal)|A=B| -c_lesse_quals(A,B,tc_RealDef_Oreal).
% 240.52/240.63 Following clause subsumed by 365 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 240.52/240.63 Following clause subsumed by 365 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 240.52/240.63 ** KEPT (pick-wt=14): 367 [] -class_HOL_Ozero(A)|c_Polynomial_OpCons(B,C,A)!=c_Polynomial_OpCons(D,E,A)|B=D.
% 240.52/240.63 ** KEPT (pick-wt=14): 368 [] -class_HOL_Ozero(A)|c_Polynomial_OpCons(B,C,A)!=c_Polynomial_OpCons(D,E,A)|C=E.
% 240.52/240.63 ** KEPT (pick-wt=13): 369 [] -class_RealVector_Oreal__normed__vector(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(B,A),tc_RealDef_Oreal)|B=c_HOL_Ozero__class_Ozero(A).
% 240.52/240.63 ** KEPT (pick-wt=13): 370 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 240.52/240.63 ** KEPT (pick-wt=13): 371 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 240.52/240.63 Following clause subsumed by 371 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 240.52/240.63 Following clause subsumed by 371 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 240.52/240.63 ** KEPT (pick-wt=13): 372 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 240.52/240.63 Following clause subsumed by 372 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 240.52/240.63 Following clause subsumed by 371 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 240.52/240.63 Following clause subsumed by 372 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 240.52/240.63 ** KEPT (pick-wt=11): 373 [] A=B| -c_lesse_quals(B,A,tc_RealDef_Oreal)| -c_lesse_quals(A,B,tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=10): 374 [] -class_RealVector_Oreal__normed__vector(A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(A),A),tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=12): 375 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=10): 376 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=13): 377 [] -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).
% 240.52/240.63 ** KEPT (pick-wt=9): 378 [] -class_RealVector_Oreal__normed__vector(A)| -c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(B,A),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=14): 379 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(D,C,A).
% 240.52/240.63 ** KEPT (pick-wt=14): 380 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 240.52/240.63 ** KEPT (pick-wt=10): 381 [] -class_Orderings_Opreorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 240.52/240.63 ** KEPT (pick-wt=10): 382 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 240.52/240.63 Following clause subsumed by 360 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,B,A)| -c_HOL_Oord__class_Oless(B,B,A).
% 240.52/240.63 Following clause subsumed by 382 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lesse_quals(B,B,A).
% 240.52/240.63 ** KEPT (pick-wt=10): 383 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(C,B,A).
% 240.52/240.63 Following clause subsumed by 382 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 240.52/240.63 Following clause subsumed by 382 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 240.52/240.63 Following clause subsumed by 383 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 240.52/240.63 ** KEPT (pick-wt=32): 384 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),A,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=12): 385 [] c_lesse_quals(c_RealVector_Onorm__class_Onorm(v_x(A),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=18): 386 [] -c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(A),tc_Complex_Ocomplex),tc_Complex_Ocomplex),A,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 240.52/240.63 ** KEPT (pick-wt=5): 387 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocancel__comm__monoid__add(A).
% 240.52/240.63 ** KEPT (pick-wt=5): 388 [] class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__ring__1(A).
% 240.52/240.63 ** KEPT (pick-wt=5): 389 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 240.52/240.63 ** KEPT (pick-wt=5): 390 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 240.52/240.63 ** KEPT (pick-wt=5): 391 [] class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 240.52/240.63 ** KEPT (pick-wt=5): 392 [] class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 240.52/240.63 ** KEPT (pick-wt=5): 393 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oidom(A).
% 240.52/240.63 ** KEPT (pick-wt=5): 394 [] class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 240.52/240.63 ** KEPT (pick-wt=5): 395 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 240.52/240.63 ** KEPT (pick-wt=5): 396 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 240.52/240.63 ** KEPT (pick-wt=5): 397 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oidom(A).
% 240.52/240.63 ** KEPT (pick-wt=5): 398 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocancel__comm__monoid__add(A).
% 240.52/240.63 ** KEPT (pick-wt=5): 399 [] class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 400 [] class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 401 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocancel__comm__monoid__add(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 402 [] class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 403 [] class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 404 [] class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oidom(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 405 [] class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 406 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__1(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 407 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__0(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 408 [] class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__0(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 409 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__1(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 410 [] class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocomm__monoid__add(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 411 [] class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 412 [] class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__0(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 413 [] class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocomm__monoid__add(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 414 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__1(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 415 [] class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 416 [] class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 417 [] class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Oab__group__add(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 418 [] class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__0(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 419 [] class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 420 [] class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__1(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 421 [] class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__0(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 422 [] class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(A))| -class_OrderedGroup_Ocomm__monoid__add(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 423 [] class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 424 [] class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oidom(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 425 [] class_Orderings_Opreorder(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 426 [] class_Orderings_Olinorder(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 427 [] class_Orderings_Oorder(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Oordered__idom(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 428 [] class_Int_Onumber__ring(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__ring__1(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 429 [] class_Power_Opower(tc_Polynomial_Opoly(A))| -class_Ring__and__Field_Ocomm__semiring__1(A).
% 240.52/240.64 ** KEPT (pick-wt=5): 430 [] class_HOL_Ozero(tc_Polynomial_Opoly(A))| -class_HOL_Ozero(A).
% 240.52/240.64 5 back subsumes 4.
% 240.52/240.64 6 back subsumes 3.
% 240.52/240.64 52 back subsumes 49.
% 240.52/240.64 53 back subsumes 51.
% 240.52/240.64 100 back subsumes 97.
% 240.52/240.64 101 back subsumes 99.
% 240.52/240.64 260 back subsumes 259.
% 240.52/240.64 272 back subsumes 257.
% 240.52/240.64 273 back subsumes 258.
% 240.52/240.64 504 back subsumes 500.
% 240.52/240.64 508 back subsumes 502.
% 240.52/240.64
% 240.52/240.64 ------------> process sos:
% 240.52/240.64 ** KEPT (pick-wt=3): 574 [] A=A.
% 240.52/240.64 ** KEPT (pick-wt=10): 575 [] c_HOL_Oord__class_Oless(A,c_RealDef_Oreal__of__preal(B),tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=12): 576 [] A=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(A,A,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=6): 577 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(A),tc_RealDef_Oreal).
% 240.52/240.64 Following clause subsumed by 577 during input processing: 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(A),tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=9): 578 [] c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(B,A,tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=15): 579 [] 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).
% 240.52/240.64 ---> New Demodulator: 580 [new_demod,579] 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).
% 240.52/240.64 ** KEPT (pick-wt=7): 581 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__local__XpCons__Xhyps__1(v_cs____,v_r),tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=7): 582 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__local__XpCons__1(v_cs____,v_r),tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=8): 583 [] c_lesse_quals(A,B,tc_RealDef_Oreal)|c_lesse_quals(B,A,tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=4): 584 [] c_lesse_quals(A,A,tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=19): 585 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 586 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex).
% 240.52/240.64 ** KEPT (pick-wt=2): 587 [] class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex).
% 240.52/240.64 ** KEPT (pick-wt=2): 588 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 589 [] class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 590 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 591 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 592 [] class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 593 [] class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 594 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 595 [] class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 596 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 597 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 598 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 599 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 600 [] class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 601 [] class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 602 [] class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 603 [] class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 604 [] class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 605 [] class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 606 [] class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 607 [] class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 608 [] class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 609 [] class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 610 [] class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 611 [] class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 612 [] class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 613 [] class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 614 [] class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 615 [] class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 616 [] class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 617 [] class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 618 [] class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 619 [] class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 620 [] class_RealVector_Oreal__normed__field(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 621 [] class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 622 [] class_Ring__and__Field_Ozero__ne_q__one(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 623 [] class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 624 [] class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 625 [] class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 626 [] class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 627 [] class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 628 [] class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 629 [] class_Ring__and__Field_Osemiring(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 630 [] class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 631 [] class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 632 [] class_Ring__and__Field_Ofield(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 633 [] class_Ring__and__Field_Oidom(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 634 [] class_Orderings_Opreorder(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 635 [] class_Orderings_Olinorder(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 636 [] class_Orderings_Oorder(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 637 [] class_Int_Onumber__ring(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 638 [] class_Power_Opower(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 639 [] class_HOL_Ozero(tc_RealDef_Oreal).
% 240.52/240.64 ** KEPT (pick-wt=2): 640 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex).
% 240.52/240.64 ** KEPT (pick-wt=2): 641 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex).
% 240.52/240.64 ** KEPT (pick-wt=2): 642 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex).
% 240.52/240.64 ** KEPT (pick-wt=2): 643 [] class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex).
% 240.52/240.64 ** KEPT (pick-wt=2): 644 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex).
% 240.52/240.64 ** KEPT (pick-wt=2): 645 [] class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex).
% 240.52/240.64 ** KEPT (pick-wt=2): 646 [] class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex).
% 240.52/240.64 ** KEPT (pick-wt=2): 647 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex).
% 240.52/240.64 ** KEPT (pick-wt=2): 648 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex).
% 240.52/240.64 ** KEPT (pick-wt=2): 649 [] class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex).
% 240.75/240.91 ** KEPT (pick-wt=2): 650 [] class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex).
% 240.75/240.91 ** KEPT (pick-wt=2): 651 [] class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex).
% 240.75/240.91 ** KEPT (pick-wt=2): 652 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex).
% 240.75/240.91 ** KEPT (pick-wt=2): 653 [] class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex).
% 240.75/240.91 ** KEPT (pick-wt=2): 654 [] class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex).
% 240.75/240.91 ** KEPT (pick-wt=2): 655 [] class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex).
% 240.75/240.91 ** KEPT (pick-wt=2): 656 [] class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex).
% 240.75/240.91 ** KEPT (pick-wt=2): 657 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Complex_Ocomplex).
% 240.75/240.91 ** KEPT (pick-wt=2): 658 [] class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex).
% 240.75/240.91 ** KEPT (pick-wt=2): 659 [] class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex).
% 240.75/240.91 ** KEPT (pick-wt=2): 660 [] class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex).
% 240.75/240.91 ** KEPT (pick-wt=2): 661 [] class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex).
% 240.75/240.91 ** KEPT (pick-wt=2): 662 [] class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex).
% 240.75/240.91 ** KEPT (pick-wt=2): 663 [] class_Ring__and__Field_Ofield(tc_Complex_Ocomplex).
% 240.75/240.91 ** KEPT (pick-wt=2): 664 [] class_Ring__and__Field_Oidom(tc_Complex_Ocomplex).
% 240.75/240.91 ** KEPT (pick-wt=2): 665 [] class_Int_Onumber__ring(tc_Complex_Ocomplex).
% 240.75/240.91 ** KEPT (pick-wt=2): 666 [] class_Power_Opower(tc_Complex_Ocomplex).
% 240.75/240.91 ** KEPT (pick-wt=2): 667 [] class_HOL_Ozero(tc_Complex_Ocomplex).
% 240.75/240.91 Following clause subsumed by 574 during input processing: 0 [copy,574,flip.1] A=A.
% 240.75/240.91 574 back subsumes 568.
% 240.75/240.91 574 back subsumes 567.
% 240.75/240.91 574 back subsumes 566.
% 240.75/240.91 574 back subsumes 565.
% 240.75/240.91 574 back subsumes 531.
% 240.75/240.91 Following clause subsumed by 578 during input processing: 0 [copy,578,flip.1] c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(B,A,tc_RealDef_Oreal).
% 240.75/240.91 >>>> Starting back demodulation with 580.
% 240.75/240.91 583 back subsumes 563.
% 240.75/240.91 583 back subsumes 562.
% 240.75/240.91
% 240.75/240.91 ======= end of input processing =======
% 240.75/240.91
% 240.75/240.91 =========== start of search ===========
% 240.75/240.91
% 240.75/240.91
% 240.75/240.91 Resetting weight limit to 2.
% 240.75/240.91
% 240.75/240.91
% 240.75/240.91 Resetting weight limit to 2.
% 240.75/240.91
% 240.75/240.91 sos_size=92
% 240.75/240.91
% 240.75/240.91 Search stopped because sos empty.
% 240.75/240.91
% 240.75/240.91
% 240.75/240.91 Search stopped because sos empty.
% 240.75/240.91
% 240.75/240.91 ============ end of search ============
% 240.75/240.91
% 240.75/240.91 -------------- statistics -------------
% 240.75/240.91 clauses given 93
% 240.75/240.91 clauses generated 19259
% 240.75/240.91 clauses kept 658
% 240.75/240.91 clauses forward subsumed 127
% 240.75/240.91 clauses back subsumed 18
% 240.75/240.91 Kbytes malloced 5859
% 240.75/240.91
% 240.75/240.91 ----------- times (seconds) -----------
% 240.75/240.91 user CPU time 0.31 (0 hr, 0 min, 0 sec)
% 240.75/240.91 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 240.75/240.91 wall-clock time 240 (0 hr, 4 min, 0 sec)
% 240.75/240.91
% 240.75/240.91 Process 26555 finished Wed Jul 27 03:32:31 2022
% 240.84/240.91 Otter interrupted
% 240.84/240.91 PROOF NOT FOUND
%------------------------------------------------------------------------------