TSTP Solution File: SCT086-1 by Otter---3.3

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SCT086-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jul 27 13:12:29 EDT 2022

% Result   : Unknown 280.56s 280.59s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SCT086-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : otter-tptp-script %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Jul 27 09:00:00 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 276.89/276.91  ----- Otter 3.3f, August 2004 -----
% 276.89/276.91  The process was started by sandbox2 on n013.cluster.edu,
% 276.89/276.91  Wed Jul 27 09:00:00 2022
% 276.89/276.91  The command was "./otter".  The process ID is 32646.
% 276.89/276.91  
% 276.89/276.91  set(prolog_style_variables).
% 276.89/276.91  set(auto).
% 276.89/276.91     dependent: set(auto1).
% 276.89/276.91     dependent: set(process_input).
% 276.89/276.91     dependent: clear(print_kept).
% 276.89/276.91     dependent: clear(print_new_demod).
% 276.89/276.91     dependent: clear(print_back_demod).
% 276.89/276.91     dependent: clear(print_back_sub).
% 276.89/276.91     dependent: set(control_memory).
% 276.89/276.91     dependent: assign(max_mem, 12000).
% 276.89/276.91     dependent: assign(pick_given_ratio, 4).
% 276.89/276.91     dependent: assign(stats_level, 1).
% 276.89/276.91     dependent: assign(max_seconds, 10800).
% 276.89/276.91  clear(print_given).
% 276.89/276.91  
% 276.89/276.91  list(usable).
% 276.89/276.91  0 [] A=A.
% 276.89/276.91  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a))).
% 276.89/276.91  0 [] c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 276.89/276.91  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)!=V_y|V_x=c_HOL_Ouminus__class_Ouminus(V_z,T_a).
% 276.89/276.91  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)=V_b.
% 276.89/276.91  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)=V_y.
% 276.89/276.91  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a),T_a)=V_b.
% 276.89/276.91  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 276.89/276.91  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 276.89/276.91  0 [] -class_Orderings_Obot(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)).
% 276.89/276.91  0 [] -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))))|hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 276.89/276.91  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 276.89/276.91  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=V_b.
% 276.89/276.91  0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_a=c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 276.89/276.91  0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_b=c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 276.89/276.91  0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=V_x.
% 276.89/276.91  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=V_a.
% 276.89/276.91  0 [] c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 276.89/276.91  0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a).
% 276.89/276.91  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 276.89/276.91  0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)!=V_a|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 276.89/276.91  0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 276.89/276.91  0 [] c_Set_Ovimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_b,tc_bool)),T_a,T_b)=c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(V_f,V_A,T_a,T_b),tc_fun(T_a,tc_bool)).
% 276.89/276.91  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_b,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 276.89/276.91  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 276.89/276.91  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 276.89/276.91  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 276.89/276.91  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a).
% 276.89/276.91  0 [] c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ozero__class_Ozero(T_a)!=c_HOL_Ouminus__class_Ouminus(V_a,T_a)|c_HOL_Ozero__class_Ozero(T_a)=V_a.
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 276.89/276.91  0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_a)).
% 276.89/276.91  0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_a)).
% 276.89/276.91  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a))).
% 276.89/276.91  0 [] c_Relation_OImage(V_R,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 276.89/276.91  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ouminus__class_Ouminus(V_b,T_a).
% 276.89/276.91  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)=V_b.
% 276.89/276.91  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 276.89/276.91  0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(T_a),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 276.89/276.91  0 [] c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 276.89/276.91  0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 276.89/276.91  0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(V_x,T_a)!=c_HOL_Ouminus__class_Ouminus(V_y,T_a)|V_x=V_y.
% 276.89/276.91  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)!=c_HOL_Ouminus__class_Ouminus(V_b,T_a)|V_a=V_b.
% 276.89/276.91  0 [] c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))!=c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))|V_A=V_B.
% 276.89/276.91  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ozero__class_Ozero(T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_r,T_a).
% 276.89/276.91  0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 276.89/276.91  0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 276.89/276.91  0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(T_a),T_a)=c_Orderings_Otop__class_Otop(T_a).
% 276.89/276.91  0 [] c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a))).
% 276.89/276.91  0 [] c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Osemiring__0(T_a)| -class_Power_Opower(T_a)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Suc(V_n),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a),V_n,T_a).
% 276.89/276.91  0 [] c_Relation_Orefl__on(V_A,c_Relation_OId__on(V_A,T_a),T_a).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(V_less,V_x),V_x))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a)),c_HOL_Oone__class_Oone(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Oone__class_Oone(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] c_Relation_ODomain(c_Relation_OId__on(V_A,T_a),T_a,T_a)=V_A.
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(V_less,V_x),V_y))|hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_x))| -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -c_Orderings_Opreorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(V_less,V_x),V_x))| -c_Orderings_Opreorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -c_Orderings_Opreorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a)=c_HOL_Oone__class_Oone(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 276.89/276.91  0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a)=c_HOL_Oone__class_Oone(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 276.89/276.91  0 [] -class_Ring__and__Field_Ofield(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a)|c_HOL_Oinverse__class_Odivide(V_x,V_x,T_a)=c_HOL_Oone__class_Oone(T_a).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),c_Power_Opower__class_Opower(V_b,V_n,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(V_less,V_x),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] -c_Orderings_Olinorder(V_less__e_q,V_less,T_a)| -hBOOL(hAPP(hAPP(V_less,V_x),V_x)).
% 276.89/276.91  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).
% 276.89/276.91  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).
% 276.89/276.91  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).
% 276.89/276.91  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).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a)),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a)),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_B),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),T_a,T_b,tc_fun(T_b,T_b)),V_c),T_a,T_b,T_b),V_d),V_A,T_a,T_b)=c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_b),V_d),V_A))|hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)).
% 276.89/276.91  0 [] c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_B),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),T_a,T_b,tc_fun(T_b,T_b)),V_c),T_a,T_b,T_b),V_d),V_A,T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_b),V_d),V_A))|hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] c_Suc(V_x)!=c_Suc(V_y)|V_x=V_y.
% 276.89/276.91  0 [] c_Suc(V_nat)!=c_Suc(V_nat_H)|V_nat=V_nat_H.
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] c_Relation_ORange(c_Relation_OId__on(V_A,T_a),T_a,T_a)=V_A.
% 276.89/276.91  0 [] -c_Orderings_Oorder(V_less__e_q,V_less,T_a)|hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_x)).
% 276.89/276.91  0 [] c_Relation_Orefl__on(V_A,V_r,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 276.89/276.91  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).
% 276.89/276.91  0 [] -c_Orderings_Opreorder(V_less__e_q,V_less,T_a)|hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_x)).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(V_less,V_y),V_x))| -hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -c_Orderings_Opreorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(V_less,V_b),V_a))| -hBOOL(hAPP(hAPP(V_less,V_a),V_b))| -c_Orderings_Opreorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(V_less,V_x),V_z))| -hBOOL(hAPP(hAPP(V_less,V_y),V_z))| -hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -c_Orderings_Opreorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_x))| -c_Orderings_Opreorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_z))| -hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_z))| -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -c_Orderings_Opreorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(V_less,V_x),V_z))| -hBOOL(hAPP(hAPP(V_less,V_y),V_z))| -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -c_Orderings_Opreorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(V_less,V_x),V_z))| -hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_z))| -hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -c_Orderings_Opreorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_x))| -hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -c_Orderings_Opreorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -hBOOL(hAPP(hAPP(V_less,V_y),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_x))|hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_x))|hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(V_less,V_y),V_x))|hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -hBOOL(hAPP(hAPP(V_less,V_y),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(V_less,V_x),V_y))|hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(V_less,V_x),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a)|hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_x)).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a)| -hBOOL(hAPP(hAPP(V_less,V_x),V_x)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a)),c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a))).
% 276.89/276.91  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).
% 276.89/276.91  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).
% 276.89/276.91  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).
% 276.89/276.91  0 [] c_Suc(V_n)!=V_n.
% 276.89/276.91  0 [] V_n!=c_Suc(V_n).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a))).
% 276.89/276.91  0 [] V_x=V_y| -hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_x))| -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] V_x=V_y| -hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_x))| -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] V_x=V_y| -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -hBOOL(hAPP(hAPP(V_less__e_q,V_y),V_x))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(V_A,hAPP(V_f,V_x)))| -hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)).
% 276.89/276.91  0 [] hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))| -hBOOL(hAPP(V_A,hAPP(V_f,V_x))).
% 276.89/276.91  0 [] V_x=V_y|hBOOL(hAPP(hAPP(V_less,V_y),V_x))|hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(V_less,V_y),V_x))|hBOOL(hAPP(hAPP(V_less,V_x),V_y))|V_x=V_y| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(V_less,V_y),V_x))|V_x=V_y|hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] V_x=V_y|hBOOL(hAPP(hAPP(V_less,V_x),V_y))|hBOOL(hAPP(hAPP(V_less,V_y),V_x))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  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).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a)),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)!=c_HOL_Oone__class_Oone(T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b.
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Oone__class_Oone(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_N)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Oone__class_Oone(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_n),V_N)).
% 276.89/276.91  0 [] -class_Orderings_Opreorder(T_a)|c_Orderings_Opreorder(c_lesse_quals(T_a),c_HOL_Oord__class_Oless(T_a),T_a).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(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).
% 276.89/276.91  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| -class_OrderedGroup_Ocomm__monoid__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_c))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| -class_OrderedGroup_Ocomm__monoid__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)).
% 276.89/276.91  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)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x))|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 276.89/276.91  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)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x))|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 276.89/276.91  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_c))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oone__class_Oone(T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oone__class_Oone(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oone__class_Oone(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_Power_Opower__class_Opower(V_a,V_m,T_a)!=c_Power_Opower__class_Opower(V_a,V_n,T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a))|V_m=V_n.
% 276.89/276.91  0 [] V_x=V_y| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_OId__on(V_A,T_a))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),c_Suc(c_HOL_Oplus__class_Oplus(V_i,V_m,tc_nat)))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_i,tc_nat)))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat)))).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_x),V_x))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),c_Suc(V_x))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),V_n))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),c_Suc(V_n))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),c_Suc(V_n)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),V_n)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_Suc(V_m)),V_n))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_Suc(V_m)),V_n)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_Suc(V_n)),V_m))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_Suc(V_n)),V_m)).
% 276.89/276.91  0 [] V_n=V_m| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Suc(V_m)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),V_n)).
% 276.89/276.91  0 [] c_Suc(V_n)=c_HOL_Oplus__class_Oplus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 276.89/276.91  0 [] c_Suc(V_n)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),V_n,tc_nat).
% 276.89/276.91  0 [] c_List_Oall__from__to__nat(V_P,V_i,V_j)| -hBOOL(hAPP(V_P,V_i))| -c_List_Oall__from__to__nat(V_P,c_HOL_Oplus__class_Oplus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_j).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))|V_x=V_z| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(V_less,V_a),V_b))| -hBOOL(hAPP(hAPP(V_less__e_q,V_a),V_b))|V_a=V_b| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(V_less,V_a),V_b))|V_a=V_b| -hBOOL(hAPP(hAPP(V_less__e_q,V_a),V_b))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(V_less,V_x),V_y))|V_x=V_y| -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] V_x=V_y|hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)),V_a))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)),V_a)).
% 276.89/276.91  0 [] V_x=V_y|hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] V_x=V_y| -hBOOL(hAPP(hAPP(V_less__e_q,V_x),V_y))|hBOOL(hAPP(hAPP(V_less,V_x),V_y))| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a)!=c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a)|V_a=V_b| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|V_x=V_y| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 276.89/276.91  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y.
% 276.89/276.91  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_xa)| -hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_xa.
% 276.89/276.91  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 276.89/276.91  0 [] hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_R)!=hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_S)|V_R=V_S.
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_A,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_A)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_B,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_B)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_A,T_a,T_b))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a)),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_w),V_z))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_w))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a)),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_w),V_z))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_w))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),c_Power_Opower__class_Opower(V_b,V_n,T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a)),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_w),V_z))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_w))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)),V_a)).
% 276.89/276.91  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).
% 276.89/276.91  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).
% 276.89/276.91  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).
% 276.89/276.91  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.
% 276.89/276.91  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.
% 276.89/276.91  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).
% 276.89/276.91  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.
% 276.89/276.91  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.
% 276.89/276.91  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.
% 276.89/276.91  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.
% 276.89/276.91  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.
% 276.89/276.91  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).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)|c_HOL_Oone__class_Oone(T_a)!=c_HOL_Ozero__class_Ozero(T_a).
% 276.89/276.91  0 [] -class_OrderedGroup_Omonoid__mult(T_a)|c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a)=c_HOL_Oone__class_Oone(T_a).
% 276.89/276.91  0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)|c_HOL_Ozero__class_Ozero(T_a)!=c_HOL_Oone__class_Oone(T_a).
% 276.89/276.91  0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a)=V_a.
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),c_Suc(V_n)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(V_m)),V_n)).
% 276.89/276.91  0 [] c_List_Oall__from__to__nat(V_P,V_i,V_j)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j)).
% 276.89/276.91  0 [] hBOOL(hAPP(V_P,V_i))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j))| -c_List_Oall__from__to__nat(V_P,V_i,V_j).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(V_i)),V_k))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_j),V_k))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),c_Suc(V_x))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Suc(V_n))).
% 276.89/276.91  0 [] V_n=V_m| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Suc(V_m)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m)).
% 276.89/276.91  0 [] V_m=V_n| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Suc(V_m)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m)).
% 276.89/276.91  0 [] V_m=V_n|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),c_Suc(V_n))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(V_m)),V_n))|c_Suc(V_m)=V_n| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_x))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),c_Suc(V_x))).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Suc(V_m))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Suc(V_m)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(V_x)),c_Suc(V_n)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_n)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(V_m)),c_Suc(V_n))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(V_m)),c_Suc(V_n)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)).
% 276.89/276.91  0 [] c_Orderings_Opreorder(c_COMBC(V_less__e_q,T_a,T_a,tc_bool),c_COMBC(V_less,T_a,T_a,tc_bool),T_a)| -c_Orderings_Opreorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] c_Orderings_Olinorder(c_COMBC(V_less__e_q,T_a,T_a,tc_bool),c_COMBC(V_less,T_a,T_a,tc_bool),T_a)| -c_Orderings_Olinorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] c_Orderings_Oorder(c_COMBC(V_less__e_q,T_a,T_a,tc_bool),c_COMBC(V_less,T_a,T_a,tc_bool),T_a)| -c_Orderings_Oorder(V_less__e_q,V_less,T_a).
% 276.89/276.91  0 [] c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat)=c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)).
% 276.89/276.91  0 [] c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat)=c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)).
% 276.89/276.91  0 [] c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat)=c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_Suc(V_n)),c_Suc(V_m)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_n),V_m)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_n),V_m))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_Suc(V_n)),c_Suc(V_m))).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_Suc(V_n)),V_n)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),c_Suc(V_n)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),V_n)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),V_n))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_Suc(V_m)),V_n)).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),V_n))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_Suc(V_n)),V_m)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_Suc(V_n)),V_m))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),V_n)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_Suc(V_n)),c_Suc(V_n))).
% 276.89/276.91  0 [] V_m=c_Suc(V_n)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),V_n))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),c_Suc(V_n))).
% 276.89/276.91  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)|V_x=V_y.
% 276.89/276.91  0 [] c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 276.89/276.91  0 [] -class_OrderedGroup_Omonoid__mult(T_a)|c_Power_Opower__class_Opower(V_a,c_HOL_Oone__class_Oone(tc_nat),T_a)=V_a.
% 276.89/276.91  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Power_Opower__class_Opower(V_x,c_HOL_Oone__class_Oone(tc_nat),T_a)=V_x.
% 276.89/276.91  0 [] V_xa=V_x|V_xa=V_x|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))|V_x=V_z|V_y=V_z.
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))|V_x=V_y|V_y=V_z.
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x))).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x))).
% 276.89/276.91  0 [] V_x=V_y|V_y=V_x|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))|V_y=V_z| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_z))).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x))).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_z)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))|V_y=V_z|V_x=V_z.
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_z)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))|V_x=V_y|V_x=V_z.
% 276.89/276.91  0 [] c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_B),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),T_a,T_b,tc_fun(T_b,T_b)),V_c),T_a,T_b,T_b),V_d),V_A,T_a,T_b)=V_B|hBOOL(hAPP(hAPP(c_in(T_b),V_d),V_A))| -hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| -class_OrderedGroup_Ocomm__monoid__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_c))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| -class_OrderedGroup_Ocomm__monoid__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_c))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_a,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_xa,V_x,T_a,T_a)),V_r))|hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_xa,T_a,T_a)),V_r))|V_x=V_xa| -hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Relation_Ototal__on(V_A,V_r,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ODomain(V_r,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ODomain(V_r,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_x,T_a,T_b)),V_r)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Relation_ORange(V_r,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ORange(V_r,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_x,V_a,T_b,T_a)),V_r)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Relation_OId__on(V_A,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_OId__on(V_A,T_a))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_x,V_b,T_b,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Relation_OImage(V_r,V_A,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_y),c_Wellfounded_Oacc(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_a,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Wellfounded_Oacc(V_r,T_a))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a)),V_b))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__field(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)).
% 276.89/276.91  0 [] -class_Orderings_Opreorder(T_a)|c_Orderings_Opreorder(c_COMBC(c_lesse_quals(T_a),T_a,T_a,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(T_a),T_a,T_a,tc_bool),T_a).
% 276.89/276.91  0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Oorder(c_COMBC(c_lesse_quals(T_a),T_a,T_a,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(T_a),T_a,T_a,tc_bool),T_a).
% 276.89/276.91  0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Olinorder(c_COMBC(c_lesse_quals(T_a),T_a,T_a,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(T_a),T_a,T_a,tc_bool),T_a).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_b,V_x,T_a)),c_Power_Opower__class_Opower(V_b,V_y,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_b,V_x,T_a)),c_Power_Opower__class_Opower(V_b,V_y,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),c_Power_Opower__class_Opower(V_a,V_N,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_N)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,V_m,T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(V_f,V_x)),hAPP(V_f,V_y)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Wellfounded_Omeasure(V_f,T_a))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Wellfounded_Omeasure(V_f,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(V_f,V_x)),hAPP(V_f,V_y))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Wellfounded_Omlex__prod(V_f,V_R,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(V_f,V_x)),hAPP(V_f,V_y))).
% 276.89/276.91  0 [] c_Fun_Oinj__on(v_h____,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),c_Power_Opower__class_Opower(V_a,V_N,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oone__class_Oone(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_n),V_N)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Wellfounded_Omlex__prod(V_f,V_R,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_R))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),hAPP(V_f,V_x)),hAPP(V_f,V_y))).
% 276.89/276.91  0 [] c_List_Oall__from__to__nat(V_P,c_HOL_Oplus__class_Oplus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_j)| -hBOOL(hAPP(V_P,V_i))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j))| -c_List_Oall__from__to__nat(V_P,V_i,V_j).
% 276.89/276.91  0 [] c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_B),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),T_a,T_b,tc_fun(T_b,T_b)),V_c),T_a,T_b,T_b),V_d),V_A,T_a,T_b)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_b),V_d),V_A))| -hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)).
% 276.89/276.91  0 [] hAPP(c_HOL_Oord__class_Oless(tc_nat),v_n)=hAPP(c_lesse_quals(tc_nat),c_Suc(v_n)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Power_Opower__class_Opower(V_b,V_x,T_a)),c_Power_Opower__class_Opower(V_b,V_y,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_x),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_x),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Power_Opower__class_Opower(V_b,V_x,T_a)),c_Power_Opower__class_Opower(V_b,V_y,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),V_n))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Power_Opower__class_Opower(V_a,V_m,T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),V_n),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____)),c_Arrow__Order__Mirabelle_OProf)).
% 276.89/276.91  0 [] v_thesis____| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_sko__local__Xthat__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____,V_n)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))).
% 276.89/276.91  0 [] v_thesis____| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),v_sko__local__Xthat__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____,V_n)),V_n))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat)),c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat)),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat)),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)).
% 276.89/276.91  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_z),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_z),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 276.89/276.91  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_z),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)).
% 276.89/276.91  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 276.89/276.91  0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_n),V_n)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_i),V_k))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_j),V_k))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_i),V_j)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_x),V_x)).
% 276.89/276.91  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_x)).
% 276.89/276.91  0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_x)).
% 276.89/276.91  0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 276.89/276.91  0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_d))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a))).
% 276.89/276.91  0 [] c_Pair(V_a,V_b,T_a,T_b)!=c_Pair(V_a_H,V_b_H,T_a,T_b)|V_a=V_a_H.
% 276.89/276.91  0 [] c_Pair(V_a,V_b,T_a,T_b)!=c_Pair(V_a_H,V_b_H,T_a,T_b)|V_b=V_b_H.
% 276.89/276.91  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))|V_a=V_b| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_a)).
% 276.89/276.91  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_a))|V_a=V_b.
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))|V_m=V_n| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),V_n)).
% 276.89/276.91  0 [] V_m=V_n|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),V_n)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))|V_m=V_n| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),V_n)).
% 276.89/276.91  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 276.89/276.91  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))|V_x=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 276.89/276.91  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))|V_a=V_b| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 276.89/276.91  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b))|V_a=V_b.
% 276.89/276.91  0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 276.89/276.91  0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 276.89/276.91  0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)).
% 276.89/276.91  0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_n),V_m))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),V_n)).
% 276.89/276.91  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 276.89/276.91  0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 276.89/276.91  0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat)),V_i)).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat)),V_i)).
% 276.89/276.91  0 [] -class_Orderings_Otop(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat)),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),V_n)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),V_n))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat)),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat)),c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_i),V_j)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a))).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 276.89/276.91  0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 276.89/276.91  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),V_n))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_x),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat)),c_HOL_Oplus__class_Oplus(V_j,V_l,tc_nat)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_k),V_l))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_d))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)).
% 276.89/276.91  0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)).
% 276.89/276.91  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))|V_x=V_y|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 276.89/276.91  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 276.89/276.91  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 276.89/276.91  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))|V_x=V_y.
% 276.89/276.91  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_y),V_x))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y))|V_x=V_y.
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(V_P,V_n),V_m))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m))|V_m=V_n|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n))|V_m=V_n.
% 276.89/276.91  0 [] V_m=V_n| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_n),V_m))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),V_n)).
% 276.89/276.91  0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 276.89/276.91  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))|V_x=V_y.
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_n),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_n),c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat))).
% 276.89/276.91  0 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)).
% 276.89/276.91  0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)).
% 276.89/276.91  0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)).
% 276.89/276.91  0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_n)).
% 276.89/276.91  0 [] -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_x)).
% 276.89/276.91  0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))).
% 276.89/276.91  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).
% 276.89/276.91  0 [] c_HOL_Oplus__class_Oplus(V_m,V_l,tc_nat)!=c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_k),V_l))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)).
% 276.89/276.91  0 [] c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)=c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat).
% 276.89/276.91  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).
% 276.89/276.91  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).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_j)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_i),V_k))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat)),V_k)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_z)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat)),c_HOL_Oplus__class_Oplus(V_j,V_l,tc_nat)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_k),V_l))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_i),V_j)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_d))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 276.89/276.91  0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 276.89/276.91  0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)).
% 276.89/276.91  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).
% 276.89/276.91  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).
% 276.89/276.91  0 [] c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat),tc_nat).
% 276.89/276.91  0 [] c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat)=c_HOL_Oplus__class_Oplus(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat).
% 276.89/276.91  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).
% 276.89/276.91  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).
% 276.89/276.91  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).
% 276.89/276.91  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).
% 276.89/276.91  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).
% 276.89/276.91  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).
% 276.89/276.91  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).
% 276.89/276.91  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.
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_i),c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_i),V_j)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_i),c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_i),V_j)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_k),V_n))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat)),V_n)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),V_n))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat)),V_n)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_x),c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_x),V_z)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_x),c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_x),V_y)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))| -hBOOL(hAPP(V_S,V_x)).
% 276.89/276.91  0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)).
% 276.89/276.91  0 [] hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 276.89/276.91  0 [] hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 276.89/276.91  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 276.89/276.91  0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_x))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)).
% 276.89/276.91  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_x)).
% 276.89/276.91  0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 276.89/276.91  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 276.89/276.91  0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)).
% 276.89/276.91  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 276.89/276.91  0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)).
% 276.89/276.91  0 [] c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat)!=c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat)|V_y=V_z.
% 276.89/276.91  0 [] c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat)!=c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat)|V_m=V_n.
% 276.89/276.91  0 [] c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat)!=c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)|V_m=V_n.
% 276.89/276.91  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.
% 276.89/276.91  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.
% 276.89/276.91  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.
% 276.89/276.91  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.
% 276.89/276.91  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).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_d))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 276.89/276.91  0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_d))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____)))).
% 276.89/276.91  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),V_m),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),V_m),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____))).
% 276.89/276.92  0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____)),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))).
% 276.89/276.92  0 [] -v_thesis____.
% 276.89/276.92  0 [] v_thesis____| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(V_na,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),hAPP(v_n,V_na)),V_na))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_na),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))).
% 276.89/276.92  0 [] v_thesis____| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(V_na,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),hAPP(v_n,V_na)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_na),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))).
% 276.89/276.92  0 [] class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))| -class_Lattices_Oboolean__algebra(T_1).
% 276.89/276.92  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 276.89/276.92  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 276.89/276.92  0 [] class_Orderings_Otop(tc_fun(T_2,T_1))| -class_Orderings_Otop(T_1).
% 276.89/276.92  0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 276.89/276.92  0 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat).
% 276.89/276.92  0 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat).
% 276.89/276.92  0 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat).
% 276.89/276.92  0 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_nat).
% 276.89/276.92  0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat).
% 276.89/276.92  0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_nat).
% 276.89/276.92  0 [] class_Ring__and__Field_Ono__zero__divisors(tc_nat).
% 276.89/276.92  0 [] class_Ring__and__Field_Oordered__semidom(tc_nat).
% 276.89/276.92  0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_nat).
% 276.89/276.92  0 [] class_OrderedGroup_Oab__semigroup__add(tc_nat).
% 276.89/276.92  0 [] class_OrderedGroup_Ocomm__monoid__add(tc_nat).
% 276.89/276.92  0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_nat).
% 276.89/276.92  0 [] class_Ring__and__Field_Osemiring__0(tc_nat).
% 276.89/276.92  0 [] class_Ring__and__Field_Omult__zero(tc_nat).
% 276.89/276.92  0 [] class_OrderedGroup_Omonoid__mult(tc_nat).
% 276.89/276.92  0 [] class_OrderedGroup_Omonoid__add(tc_nat).
% 276.89/276.92  0 [] class_Orderings_Opreorder(tc_nat).
% 276.89/276.92  0 [] class_Orderings_Olinorder(tc_nat).
% 276.89/276.92  0 [] class_Orderings_Oorder(tc_nat).
% 276.89/276.92  0 [] class_Orderings_Obot(tc_nat).
% 276.89/276.92  0 [] class_Power_Opower(tc_nat).
% 276.89/276.92  0 [] class_Lattices_Oboolean__algebra(tc_bool).
% 276.89/276.92  0 [] class_Orderings_Opreorder(tc_bool).
% 276.89/276.92  0 [] class_Orderings_Oorder(tc_bool).
% 276.89/276.92  0 [] class_Orderings_Otop(tc_bool).
% 276.89/276.92  0 [] class_Orderings_Obot(tc_bool).
% 276.89/276.92  0 [] hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 276.89/276.92  0 [] hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 276.89/276.92  0 [] c_fe_qual(V_x,V_x,T_a).
% 276.89/276.92  0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 276.89/276.92  end_of_list.
% 276.89/276.92  
% 276.89/276.92  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 276.89/276.92  
% 276.89/276.92  This ia a non-Horn set with equality.  The strategy will be
% 276.89/276.92  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 276.89/276.92  deletion, with positive clauses in sos and nonpositive
% 276.89/276.92  clauses in usable.
% 276.89/276.92  
% 276.89/276.92     dependent: set(knuth_bendix).
% 276.89/276.92     dependent: set(anl_eq).
% 276.89/276.92     dependent: set(para_from).
% 276.89/276.92     dependent: set(para_into).
% 276.89/276.92     dependent: clear(para_from_right).
% 276.89/276.92     dependent: clear(para_into_right).
% 276.89/276.92     dependent: set(para_from_vars).
% 276.89/276.92     dependent: set(eq_units_both_ways).
% 276.89/276.92     dependent: set(dynamic_demod_all).
% 276.89/276.92     dependent: set(dynamic_demod).
% 276.89/276.92     dependent: set(order_eq).
% 276.89/276.92     dependent: set(back_demod).
% 276.89/276.92     dependent: set(lrpo).
% 276.89/276.92     dependent: set(hyper_res).
% 276.89/276.92     dependent: set(unit_deletion).
% 276.89/276.92     dependent: set(factor).
% 276.89/276.92  
% 276.89/276.92  ------------> process usable:
% 276.89/276.92  ** KEPT (pick-wt=22): 1 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ouminus__class_Ouminus(C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oplus__class_Oplus(B,C,A)),c_HOL_Ozero__class_Ozero(A))).
% 276.89/276.92  ** KEPT (pick-wt=22): 2 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oplus__class_Oplus(B,C,A)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ouminus__class_Ouminus(C,A))).
% 276.89/276.92  ** KEPT (pick-wt=9): 3 [] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 276.89/276.92  ** KEPT (pick-wt=16): 4 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)!=C|B=c_HOL_Ouminus__class_Ouminus(D,A).
% 276.89/276.92  ** KEPT (pick-wt=13): 5 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Oplus__class_Oplus(B,C,A),A)=C.
% 276.89/276.92  ** KEPT (pick-wt=13): 6 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Oplus__class_Oplus(C,B,A),A)=C.
% 276.89/276.92  ** KEPT (pick-wt=13): 7 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),C,A),A)=C.
% 276.89/276.92  ** KEPT (pick-wt=17): 8 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(B,C,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 276.89/276.92  ** KEPT (pick-wt=17): 9 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(B,C,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(C,A),c_HOL_Ouminus__class_Ouminus(B,A),A).
% 276.89/276.92  ** KEPT (pick-wt=20): 10 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ouminus__class_Ouminus(B,A)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ouminus__class_Ouminus(C,A)),B)).
% 276.89/276.92    Following clause subsumed by 10 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ouminus__class_Ouminus(B,A)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ouminus__class_Ouminus(C,A)),B)).
% 276.89/276.92  ** KEPT (pick-wt=20): 11 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ouminus__class_Ouminus(C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ouminus__class_Ouminus(B,A))).
% 276.89/276.92    Following clause subsumed by 11 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ouminus__class_Ouminus(C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ouminus__class_Ouminus(B,A))).
% 276.89/276.92  ** KEPT (pick-wt=20): 12 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ouminus__class_Ouminus(B,A)),c_HOL_Ouminus__class_Ouminus(C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 276.89/276.92  ** KEPT (pick-wt=20): 13 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ouminus__class_Ouminus(C,A)),c_HOL_Ouminus__class_Ouminus(B,A))).
% 276.89/276.92  ** KEPT (pick-wt=20): 14 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(B,A)),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(C,A)),B)).
% 276.89/276.92    Following clause subsumed by 14 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(B,A)),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(C,A)),B)).
% 276.89/276.92  ** KEPT (pick-wt=20): 15 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ouminus__class_Ouminus(C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),c_HOL_Ouminus__class_Ouminus(B,A))).
% 276.89/276.92    Following clause subsumed by 15 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ouminus__class_Ouminus(C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),c_HOL_Ouminus__class_Ouminus(B,A))).
% 276.89/276.92  ** KEPT (pick-wt=20): 16 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(C,A)),c_HOL_Ouminus__class_Ouminus(B,A))).
% 276.89/276.92  ** KEPT (pick-wt=20): 17 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(B,A)),c_HOL_Ouminus__class_Ouminus(C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 276.89/276.92  ** KEPT (pick-wt=10): 18 [] -class_Orderings_Obot(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Orderings_Obot__class_Obot(A)),B)).
% 276.89/276.92  ** KEPT (pick-wt=14): 19 [] -hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 276.89/276.92  ** KEPT (pick-wt=18): 20 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ouminus__class_Ouminus(C,tc_fun(A,tc_bool)))).
% 276.89/276.92  ** KEPT (pick-wt=10): 21 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 276.89/276.92    Following clause subsumed by 21 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 276.89/276.92    Following clause subsumed by 21 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 276.89/276.92    Following clause subsumed by 21 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 276.89/276.92  ** KEPT (pick-wt=9): 22 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 276.89/276.92    Following clause subsumed by 22 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 276.89/276.92    Following clause subsumed by 22 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 276.89/276.92  ** KEPT (pick-wt=9): 23 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 276.89/276.92    Following clause subsumed by 22 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 276.89/276.92  ** KEPT (pick-wt=15): 24 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 276.89/276.92  ** KEPT (pick-wt=17): 25 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 276.89/276.92  ** KEPT (pick-wt=11): 26 [] -class_OrderedGroup_Oordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=B|B=c_HOL_Ozero__class_Ozero(A).
% 276.89/276.92  ** KEPT (pick-wt=19): 27 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Oinverse__class_Odivide(B,C,A)|C=c_HOL_Ozero__class_Ozero(A).
% 276.89/276.92  ** KEPT (pick-wt=11): 28 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 276.89/276.92  ** KEPT (pick-wt=11): 29 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 276.89/276.92  ** KEPT (pick-wt=11): 30 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(B,A),A)=c_HOL_Ozero__class_Ozero(A).
% 276.89/276.92    Following clause subsumed by 28 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 276.89/276.92  ** KEPT (pick-wt=17): 31 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Oinverse__class_Odivide(B,C,A).
% 276.89/276.92  ** KEPT (pick-wt=20): 32 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Ouminus__class_Ouminus(B,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.89/276.92  ** KEPT (pick-wt=20): 33 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Ouminus__class_Ouminus(B,A))).
% 276.89/276.92  ** KEPT (pick-wt=12): 34 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Ouminus__class_Ouminus(B,A)|c_HOL_Ozero__class_Ozero(A)=B.
% 276.89/276.92  ** KEPT (pick-wt=20): 35 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ouminus__class_Ouminus(B,A)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.89/276.92  ** KEPT (pick-wt=20): 36 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ouminus__class_Ouminus(B,A)),c_HOL_Ozero__class_Ozero(A))).
% 276.89/276.92  ** KEPT (pick-wt=19): 37 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(B,c_HOL_Ouminus__class_Ouminus(C,A),A)|C=c_HOL_Ozero__class_Ozero(A).
% 276.89/276.92  ** KEPT (pick-wt=19): 38 [] -class_OrderedGroup_Oordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(B,A)),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.89/276.92  ** KEPT (pick-wt=19): 39 [] -class_OrderedGroup_Oordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(B,A)),B)).
% 276.89/276.92  ** KEPT (pick-wt=19): 40 [] -class_OrderedGroup_Oordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ouminus__class_Ouminus(B,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.89/276.92  ** KEPT (pick-wt=19): 41 [] -class_OrderedGroup_Oordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ouminus__class_Ouminus(B,A))).
% 276.89/276.92  ** KEPT (pick-wt=19): 42 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(B,A)),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.89/276.92  ** KEPT (pick-wt=19): 43 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(B,A)),B)).
% 276.89/276.92  ** KEPT (pick-wt=19): 44 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ouminus__class_Ouminus(B,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.89/276.92  ** KEPT (pick-wt=19): 45 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ouminus__class_Ouminus(B,A))).
% 276.89/276.92  ** KEPT (pick-wt=14): 46 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ouminus__class_Ouminus(C,A).
% 276.89/276.92  ** KEPT (pick-wt=14): 47 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|c_HOL_Ouminus__class_Ouminus(B,A)=C.
% 276.89/276.92  ** KEPT (pick-wt=12): 48 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 276.89/276.92  ** KEPT (pick-wt=9): 49 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(A),A)=c_Orderings_Obot__class_Obot(A).
% 276.89/276.92  ** KEPT (pick-wt=7): 50 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 276.89/276.92  ** KEPT (pick-wt=12): 51 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 276.89/276.92  ** KEPT (pick-wt=12): 52 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 276.89/276.92  ** KEPT (pick-wt=14): 53 [] c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool))!=c_HOL_Ouminus__class_Ouminus(C,tc_fun(B,tc_bool))|A=C.
% 276.89/276.92  ** KEPT (pick-wt=9): 55 [copy,54,flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 276.89/276.92  ** KEPT (pick-wt=20): 56 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(B,A)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.89/276.92  ** KEPT (pick-wt=20): 57 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(B,A)),c_HOL_Ozero__class_Ozero(A))).
% 276.89/276.92  ** KEPT (pick-wt=9): 58 [] -class_OrderedGroup_Oordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 276.89/276.92    Following clause subsumed by 55 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 276.89/276.92  ** KEPT (pick-wt=9): 60 [copy,59,flip.2] -class_Lattices_Oboolean__algebra(A)|c_Orderings_Otop__class_Otop(A)=c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(A),A).
% 276.89/276.92  ** KEPT (pick-wt=20): 61 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Ouminus__class_Ouminus(B,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.89/276.92  ** KEPT (pick-wt=20): 62 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Ouminus__class_Ouminus(B,A))).
% 276.89/276.92  ** KEPT (pick-wt=19): 63 [] -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ouminus__class_Ouminus(B,A))).
% 276.89/276.92  ** KEPT (pick-wt=19): 64 [] -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ouminus__class_Ouminus(B,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.89/276.92  ** KEPT (pick-wt=31): 65 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oinverse__class_Odivide(B,C,A)),c_HOL_Ozero__class_Ozero(A))).
% 276.89/276.92  ** KEPT (pick-wt=31): 66 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oinverse__class_Odivide(C,B,A)),c_HOL_Ozero__class_Ozero(A))).
% 276.89/276.92  ** KEPT (pick-wt=31): 67 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oinverse__class_Odivide(B,C,A)),c_HOL_Ozero__class_Ozero(A))).
% 276.89/276.92  ** KEPT (pick-wt=31): 68 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oinverse__class_Odivide(B,C,A)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.89/276.92  ** KEPT (pick-wt=31): 69 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oinverse__class_Odivide(B,C,A)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.89/276.92  ** KEPT (pick-wt=13): 70 [] -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),c_Suc(B),A)=c_HOL_Ozero__class_Ozero(A).
% 276.89/276.92  ** KEPT (pick-wt=21): 71 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),c_Power_Opower__class_Opower(B,C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.89/276.92  ** KEPT (pick-wt=21): 73 [copy,72,flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A),C,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),c_Power_Opower__class_Opower(B,C,A),A).
% 276.89/276.92  ** KEPT (pick-wt=10): 74 [] -hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Oorder(C,A,D).
% 276.89/276.92  ** KEPT (pick-wt=16): 75 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(D,B),C))| -c_Orderings_Oorder(A,D,E).
% 276.89/276.92  ** KEPT (pick-wt=30): 76 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_Power_Opower__class_Opower(B,c_Suc(C),A)),c_HOL_Oone__class_Oone(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Oone__class_Oone(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.89/276.92  ** KEPT (pick-wt=22): 77 [] hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(D,C),B))| -hBOOL(hAPP(hAPP(D,B),C))| -c_Orderings_Opreorder(D,A,E).
% 276.89/276.92  ** KEPT (pick-wt=10): 78 [] -hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Opreorder(C,A,D).
% 276.89/276.92  ** KEPT (pick-wt=16): 79 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(D,B),C))| -c_Orderings_Opreorder(A,D,E).
% 276.89/276.92  ** KEPT (pick-wt=15): 80 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 276.89/276.92  ** KEPT (pick-wt=13): 81 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 276.89/276.92    Following clause subsumed by 81 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A).
% 276.89/276.92  ** KEPT (pick-wt=31): 82 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oinverse__class_Odivide(C,B,A))).
% 276.89/276.92  ** KEPT (pick-wt=31): 83 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oinverse__class_Odivide(B,C,A))).
% 276.89/276.92  ** KEPT (pick-wt=31): 84 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oinverse__class_Odivide(C,B,A))).
% 276.89/276.92  ** KEPT (pick-wt=31): 85 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oinverse__class_Odivide(B,C,A))).
% 276.89/276.92  ** KEPT (pick-wt=30): 86 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Power_Opower__class_Opower(B,C,A)),c_Power_Opower__class_Opower(D,C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 276.89/276.92  ** KEPT (pick-wt=10): 87 [] -hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Olinorder(C,A,D).
% 276.89/276.92    Following clause subsumed by 87 during input processing: 0 [] -c_Orderings_Olinorder(A,B,C)| -hBOOL(hAPP(hAPP(B,D),D)).
% 276.89/276.92  ** KEPT (pick-wt=12): 88 [] -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).
% 276.89/276.92    Following clause subsumed by 88 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).
% 276.89/276.92  ** KEPT (pick-wt=10): 89 [] -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).
% 276.89/276.92    Following clause subsumed by 89 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).
% 276.89/276.92  ** KEPT (pick-wt=30): 90 [] -class_Ring__and__Field_Oordered__field(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oinverse__class_Odivide(B,C,A)),c_HOL_Oinverse__class_Odivide(D,C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)).
% 276.89/276.92  ** KEPT (pick-wt=30): 91 [] -class_Ring__and__Field_Oordered__field(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oinverse__class_Odivide(B,C,A)),c_HOL_Oinverse__class_Odivide(D,C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),B)).
% 276.89/276.92  ** KEPT (pick-wt=31): 92 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oinverse__class_Odivide(C,B,A)),c_HOL_Ozero__class_Ozero(A))).
% 276.89/276.92  ** KEPT (pick-wt=31): 93 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oinverse__class_Odivide(B,C,A)),c_HOL_Ozero__class_Ozero(A))).
% 276.89/276.92  ** KEPT (pick-wt=58): 94 [] c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(A),hAPP(c_COMBC(c_in(B),B,tc_fun(B,tc_bool),tc_bool),C),tc_bool,tc_fun(A,tc_fun(A,A)),B),B,A,tc_fun(A,A)),D),B,A,A),E),F,B,A)=c_HOL_Ouminus__class_Ouminus(C,tc_fun(B,tc_bool))| -hBOOL(hAPP(hAPP(c_in(A),E),F))|hBOOL(hAPP(hAPP(c_in(A),D),F)).
% 276.89/276.92  ** KEPT (pick-wt=31): 95 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oinverse__class_Odivide(C,B,A)),c_HOL_Ozero__class_Ozero(A))).
% 276.89/276.92  ** KEPT (pick-wt=8): 96 [] c_Suc(A)!=c_Suc(B)|A=B.
% 276.89/276.92    Following clause subsumed by 96 during input processing: 0 [] c_Suc(A)!=c_Suc(B)|A=B.
% 276.89/276.92  ** KEPT (pick-wt=21): 97 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),c_Power_Opower__class_Opower(B,C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.89/276.92  ** KEPT (pick-wt=10): 98 [] -c_Orderings_Oorder(A,B,C)|hBOOL(hAPP(hAPP(A,D),D)).
% 276.89/276.92  ** KEPT (pick-wt=8): 99 [] c_Relation_Orefl__on(A,B,C)| -c_Equiv__Relations_Oe_quiv(A,B,C).
% 276.89/276.92  ** KEPT (pick-wt=22): 100 [] -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).
% 276.89/276.92  ** KEPT (pick-wt=10): 101 [] -c_Orderings_Opreorder(A,B,C)|hBOOL(hAPP(hAPP(A,D),D)).
% 276.89/276.92  ** KEPT (pick-wt=16): 102 [] -hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(A,C),B))| -c_Orderings_Opreorder(D,A,E).
% 276.89/276.92    Following clause subsumed by 102 during input processing: 0 [] -hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(A,C),B))| -c_Orderings_Opreorder(D,A,E).
% 276.89/276.92  ** KEPT (pick-wt=22): 103 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(A,D),C))| -hBOOL(hAPP(hAPP(A,B),D))| -c_Orderings_Opreorder(E,A,F).
% 276.89/276.92    Following clause subsumed by 101 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Opreorder(A,C,D).
% 276.92/276.92  ** KEPT (pick-wt=22): 104 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(A,D),C))| -hBOOL(hAPP(hAPP(A,B),D))| -c_Orderings_Opreorder(A,E,F).
% 276.92/276.92  ** KEPT (pick-wt=22): 105 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(A,D),C))| -hBOOL(hAPP(hAPP(E,B),D))| -c_Orderings_Opreorder(E,A,F).
% 276.92/276.92  ** KEPT (pick-wt=22): 106 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(D,E),C))| -hBOOL(hAPP(hAPP(A,B),E))| -c_Orderings_Opreorder(D,A,F).
% 276.92/276.92  ** KEPT (pick-wt=16): 107 [] -hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Opreorder(A,D,E).
% 276.92/276.92  ** KEPT (pick-wt=31): 108 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oinverse__class_Odivide(B,C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.92/276.92  ** KEPT (pick-wt=31): 109 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oinverse__class_Odivide(B,C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.92/276.92  ** KEPT (pick-wt=16): 110 [] -hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(A,C),B))| -c_Orderings_Olinorder(D,A,E).
% 276.92/276.92  ** KEPT (pick-wt=16): 111 [] -hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(D,A,E).
% 276.92/276.92  ** KEPT (pick-wt=16): 112 [] hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(A,D,E).
% 276.92/276.92  ** KEPT (pick-wt=16): 113 [] hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(A,C),B))| -c_Orderings_Olinorder(A,D,E).
% 276.92/276.92    Following clause subsumed by 112 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(D,A,E).
% 276.92/276.92    Following clause subsumed by 111 during input processing: 0 [] -hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(A,D,E).
% 276.92/276.92    Following clause subsumed by 112 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(D,A,E).
% 276.92/276.92    Following clause subsumed by 113 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Olinorder(C,A,D)|hBOOL(hAPP(hAPP(C,B),B)).
% 276.92/276.92    Following clause subsumed by 87 during input processing: 0 [] -hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Olinorder(A,C,D)| -hBOOL(hAPP(hAPP(C,B),B)).
% 276.92/276.92  ** KEPT (pick-wt=32): 114 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Power_Opower__class_Opower(B,c_Suc(D),A)),c_Power_Opower__class_Opower(C,c_Suc(D),A))).
% 276.92/276.92  ** KEPT (pick-wt=13): 115 [] -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).
% 276.92/276.92  ** KEPT (pick-wt=19): 116 [] -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).
% 276.92/276.92  ** KEPT (pick-wt=24): 117 [] -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).
% 276.92/276.92  ** KEPT (pick-wt=4): 118 [] c_Suc(A)!=A.
% 276.92/276.92    Following clause subsumed by 118 during input processing: 0 [flip.1] c_Suc(A)!=A.
% 276.92/276.92  ** KEPT (pick-wt=29): 119 [] -class_Ring__and__Field_Oordered__field(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oinverse__class_Odivide(B,C,A)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.92/276.92  ** KEPT (pick-wt=29): 120 [] -class_Ring__and__Field_Oordered__field(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oinverse__class_Odivide(B,C,A)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.92/276.93    Following clause subsumed by 120 during input processing: 0 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oinverse__class_Odivide(B,C,A)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.92/276.93    Following clause subsumed by 119 during input processing: 0 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oinverse__class_Odivide(B,C,A)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.92/276.93  ** KEPT (pick-wt=31): 121 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oinverse__class_Odivide(B,C,A))).
% 276.92/276.93  ** KEPT (pick-wt=31): 122 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oinverse__class_Odivide(C,B,A))).
% 276.92/276.93  ** KEPT (pick-wt=31): 123 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oinverse__class_Odivide(B,C,A))).
% 276.92/276.93  ** KEPT (pick-wt=31): 124 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oinverse__class_Odivide(C,B,A))).
% 276.92/276.93  ** KEPT (pick-wt=19): 125 [] A=B| -hBOOL(hAPP(hAPP(C,B),A))| -hBOOL(hAPP(hAPP(C,A),B))| -c_Orderings_Oorder(C,D,E).
% 276.92/276.93    Following clause subsumed by 125 during input processing: 0 [] A=B| -hBOOL(hAPP(hAPP(C,B),A))| -hBOOL(hAPP(hAPP(C,A),B))| -c_Orderings_Oorder(C,D,E).
% 276.92/276.93    Following clause subsumed by 125 during input processing: 0 [] A=B| -hBOOL(hAPP(hAPP(C,A),B))| -hBOOL(hAPP(hAPP(C,B),A))| -c_Orderings_Oorder(C,D,E).
% 276.92/276.93  ** KEPT (pick-wt=14): 126 [] hBOOL(hAPP(A,hAPP(B,C)))| -hBOOL(hAPP(c_Set_Ovimage(B,A,D,E),C)).
% 276.92/276.93  ** KEPT (pick-wt=14): 127 [] hBOOL(hAPP(c_Set_Ovimage(A,B,C,D),E))| -hBOOL(hAPP(B,hAPP(A,E))).
% 276.92/276.93  ** KEPT (pick-wt=19): 128 [] A=B|hBOOL(hAPP(hAPP(C,B),A))|hBOOL(hAPP(hAPP(C,A),B))| -c_Orderings_Olinorder(D,C,E).
% 276.92/276.93    Following clause subsumed by 128 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(A,C),B))|C=B| -c_Orderings_Olinorder(D,A,E).
% 276.92/276.93    Following clause subsumed by 128 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))|C=B|hBOOL(hAPP(hAPP(A,C),B))| -c_Orderings_Olinorder(D,A,E).
% 276.92/276.93    Following clause subsumed by 128 during input processing: 0 [] A=B|hBOOL(hAPP(hAPP(C,A),B))|hBOOL(hAPP(hAPP(C,B),A))| -c_Orderings_Olinorder(D,C,E).
% 276.92/276.93    Following clause subsumed by 88 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).
% 276.92/276.93  ** KEPT (pick-wt=32): 129 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oinverse__class_Odivide(B,C,A)),c_HOL_Oinverse__class_Odivide(D,C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),B)).
% 276.92/276.93  ** KEPT (pick-wt=32): 130 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oinverse__class_Odivide(B,C,A)),c_HOL_Oinverse__class_Odivide(D,C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 276.92/276.93  ** KEPT (pick-wt=16): 131 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,C,A)!=c_HOL_Oone__class_Oone(A)|C=c_HOL_Ozero__class_Ozero(A)|B=C.
% 276.92/276.93  ** KEPT (pick-wt=38): 132 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_Power_Opower__class_Opower(B,C,A)),c_Power_Opower__class_Opower(B,D,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Oone__class_Oone(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),D),C)).
% 276.92/276.93  ** KEPT (pick-wt=38): 133 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Power_Opower__class_Opower(B,C,A)),c_Power_Opower__class_Opower(B,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Oone__class_Oone(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),D),C)).
% 276.92/276.93  ** KEPT (pick-wt=8): 134 [] -class_Orderings_Opreorder(A)|c_Orderings_Opreorder(c_lesse_quals(A),c_HOL_Oord__class_Oless(A),A).
% 276.92/276.93  ** KEPT (pick-wt=29): 135 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oplus__class_Oplus(B,C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.92/276.93  ** KEPT (pick-wt=20): 137 [copy,136,factor_simp] -class_OrderedGroup_Opordered__comm__monoid__add(A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Ozero__class_Ozero(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).
% 276.92/276.93  ** KEPT (pick-wt=21): 138 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oplus__class_Oplus(B,B,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.92/276.93  ** KEPT (pick-wt=21): 139 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oplus__class_Oplus(B,B,A))).
% 276.92/276.93  ** KEPT (pick-wt=29): 140 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)| -class_OrderedGroup_Ocomm__monoid__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Oplus__class_Oplus(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),C)).
% 276.92/276.93  ** KEPT (pick-wt=29): 141 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)| -class_OrderedGroup_Ocomm__monoid__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Oplus__class_Oplus(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),D)).
% 276.92/276.93  ** KEPT (pick-wt=29): 142 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B))|C=c_HOL_Ozero__class_Ozero(A).
% 276.92/276.93  ** KEPT (pick-wt=29): 143 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B))|B=c_HOL_Ozero__class_Ozero(A).
% 276.92/276.93  ** KEPT (pick-wt=21): 144 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oplus__class_Oplus(B,B,A)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.92/276.93  ** KEPT (pick-wt=21): 145 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oplus__class_Oplus(B,B,A)),c_HOL_Ozero__class_Ozero(A))).
% 276.92/276.93  ** KEPT (pick-wt=29): 146 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oplus__class_Oplus(B,C,A)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.92/276.93  ** KEPT (pick-wt=21): 147 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oplus__class_Oplus(B,B,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.92/276.93  ** KEPT (pick-wt=21): 148 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oplus__class_Oplus(B,B,A))).
% 276.92/276.93  ** KEPT (pick-wt=29): 149 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oplus__class_Oplus(B,C,A)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.92/276.93  ** KEPT (pick-wt=21): 150 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oplus__class_Oplus(B,B,A)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.92/276.93  ** KEPT (pick-wt=21): 151 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oplus__class_Oplus(B,B,A)),c_HOL_Ozero__class_Ozero(A))).
% 276.92/276.93  ** KEPT (pick-wt=21): 152 [] -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oplus__class_Oplus(B,B,A)),c_HOL_Ozero__class_Ozero(A))).
% 276.92/276.93  ** KEPT (pick-wt=21): 153 [] -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oplus__class_Oplus(B,B,A)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.92/276.93  ** KEPT (pick-wt=29): 154 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oplus__class_Oplus(B,C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.92/276.93  ** KEPT (pick-wt=27): 155 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Oplus__class_Oplus(C,D,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C)).
% 276.92/276.93  ** KEPT (pick-wt=21): 156 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oone__class_Oone(A)),c_Power_Opower__class_Opower(B,C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oone__class_Oone(A)),B)).
% 276.92/276.93  ** KEPT (pick-wt=11): 157 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oone__class_Oone(A))).
% 276.92/276.93  ** KEPT (pick-wt=11): 158 [] -class_Ring__and__Field_Oordered__semidom(A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oone__class_Oone(A)),c_HOL_Ozero__class_Ozero(A))).
% 276.92/276.93  ** KEPT (pick-wt=11): 159 [] -class_Ring__and__Field_Oordered__semidom(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oone__class_Oone(A)),c_HOL_Ozero__class_Ozero(A))).
% 276.92/276.93  ** KEPT (pick-wt=11): 160 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oone__class_Oone(A))).
% 276.93/276.93  ** KEPT (pick-wt=22): 161 [] -class_Ring__and__Field_Oordered__semidom(A)|c_Power_Opower__class_Opower(B,C,A)!=c_Power_Opower__class_Opower(B,D,A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oone__class_Oone(A)),B))|C=D.
% 276.93/276.93  ** KEPT (pick-wt=18): 162 [] A=B| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(A,B,C,C)),c_Relation_OId__on(D,C))).
% 276.93/276.93  ** KEPT (pick-wt=15): 163 [] -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),A))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(A))).
% 276.93/276.93  ** KEPT (pick-wt=15): 164 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(B))).
% 276.93/276.93  ** KEPT (pick-wt=15): 165 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(B)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),B)).
% 276.93/276.93  ** KEPT (pick-wt=15): 166 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_Suc(A)),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 276.93/276.93  ** KEPT (pick-wt=15): 167 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_Suc(A)),B)).
% 276.93/276.93    Following clause subsumed by 166 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_Suc(A)),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 276.93/276.93    Following clause subsumed by 167 during input processing: 0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_Suc(A)),B)).
% 276.93/276.93  ** KEPT (pick-wt=18): 168 [] A=B| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(B)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),B),A)).
% 276.93/276.93  ** KEPT (pick-wt=16): 169 [] c_List_Oall__from__to__nat(A,B,C)| -hBOOL(hAPP(A,B))| -c_List_Oall__from__to__nat(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),C).
% 276.93/276.93  ** KEPT (pick-wt=31): 170 [] hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),C))|A=D| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(C,D))).
% 276.93/276.93  ** KEPT (pick-wt=31): 171 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oinverse__class_Odivide(C,B,A)),c_HOL_Ozero__class_Ozero(A))).
% 276.93/276.93  ** KEPT (pick-wt=31): 172 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oinverse__class_Odivide(B,C,A)),c_HOL_Ozero__class_Ozero(A))).
% 276.93/276.93  ** KEPT (pick-wt=31): 173 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oinverse__class_Odivide(B,C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.93/276.93  ** KEPT (pick-wt=31): 174 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oinverse__class_Odivide(B,C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.93/276.93  ** KEPT (pick-wt=29): 175 [] -class_Ring__and__Field_Oordered__field(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oinverse__class_Odivide(B,C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.93/276.93  ** KEPT (pick-wt=29): 176 [] -class_Ring__and__Field_Oordered__field(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oinverse__class_Odivide(B,C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.93/276.93  ** KEPT (pick-wt=19): 177 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(D,B),C))|B=C| -c_Orderings_Oorder(D,A,E).
% 276.93/276.93    Following clause subsumed by 177 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))|B=C| -hBOOL(hAPP(hAPP(D,B),C))| -c_Orderings_Oorder(D,A,E).
% 276.93/276.93    Following clause subsumed by 177 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))|B=C| -hBOOL(hAPP(hAPP(D,B),C))| -c_Orderings_Oorder(D,A,E).
% 276.93/276.93    Following clause subsumed by 177 during input processing: 0 [] A=B|hBOOL(hAPP(hAPP(C,A),B))| -hBOOL(hAPP(hAPP(D,A),B))| -c_Orderings_Oorder(D,C,E).
% 276.93/276.93  ** KEPT (pick-wt=38): 178 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),D)).
% 276.93/276.93  ** KEPT (pick-wt=38): 179 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Oinverse__class_Odivide(D,C,A))).
% 276.93/276.93  ** KEPT (pick-wt=38): 180 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oinverse__class_Odivide(B,C,A)),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C)).
% 276.93/276.93  ** KEPT (pick-wt=38): 181 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oinverse__class_Odivide(D,C,A)),B)).
% 276.93/276.93  ** KEPT (pick-wt=19): 182 [] A=B|hBOOL(hAPP(hAPP(C,A),B))| -hBOOL(hAPP(hAPP(D,A),B))| -c_Orderings_Olinorder(D,C,E).
% 276.93/276.93    Following clause subsumed by 182 during input processing: 0 [] A=B| -hBOOL(hAPP(hAPP(C,A),B))|hBOOL(hAPP(hAPP(D,A),B))| -c_Orderings_Olinorder(C,D,E).
% 276.93/276.93  ** KEPT (pick-wt=32): 183 [] -class_Ring__and__Field_Oordered__semidom(A)|c_Power_Opower__class_Opower(B,c_Suc(C),A)!=c_Power_Opower__class_Opower(D,c_Suc(C),A)|B=D| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.93/276.93  ** KEPT (pick-wt=29): 184 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))|B=C| -c_Fun_Oinj__on(A,E,D,F).
% 276.93/276.93    Following clause subsumed by 184 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -c_Fun_Oinj__on(A,E,D,F)|B=C.
% 276.93/276.93    Following clause subsumed by 184 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -c_Fun_Oinj__on(A,E,D,F)|B=C.
% 276.93/276.93    Following clause subsumed by 184 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,D,E,F)|B=C| -hBOOL(hAPP(hAPP(c_in(E),C),D))| -hBOOL(hAPP(hAPP(c_in(E),B),D)).
% 276.93/276.93  ** KEPT (pick-wt=24): 185 [] hAPP(c_COMBC(c_in(A),A,tc_fun(A,tc_bool),tc_bool),B)!=hAPP(c_COMBC(c_in(A),A,tc_fun(A,tc_bool),tc_bool),C)|B=C.
% 276.93/276.93  ** KEPT (pick-wt=20): 186 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 276.93/276.93    Following clause subsumed by 186 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 276.93/276.93    Following clause subsumed by 186 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 276.93/276.93  ** KEPT (pick-wt=20): 187 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),c_Set_Ovimage(B,D,E,A))).
% 276.93/276.93    Following clause subsumed by 187 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),c_Set_Ovimage(B,D,E,A))).
% 276.93/276.93  ** KEPT (pick-wt=45): 188 [] -class_Ring__and__Field_Oordered__field(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oinverse__class_Odivide(B,C,A)),c_HOL_Oinverse__class_Odivide(D,E,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),E),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),E))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.93/276.93  ** KEPT (pick-wt=29): 189 [] -class_Ring__and__Field_Oordered__field(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oinverse__class_Odivide(B,C,A)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.93/276.93  ** KEPT (pick-wt=29): 190 [] -class_Ring__and__Field_Oordered__field(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oinverse__class_Odivide(B,C,A)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.93/276.93  ** KEPT (pick-wt=45): 191 [] -class_Ring__and__Field_Oordered__field(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oinverse__class_Odivide(B,C,A)),c_HOL_Oinverse__class_Odivide(D,E,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),E),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),E))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.93/276.93  ** KEPT (pick-wt=30): 192 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_Power_Opower__class_Opower(B,D,A)),c_Power_Opower__class_Opower(C,D,A))).
% 276.93/276.93  ** KEPT (pick-wt=45): 193 [] -class_Ring__and__Field_Oordered__field(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oinverse__class_Odivide(B,C,A)),c_HOL_Oinverse__class_Odivide(D,E,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),E),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),E))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.93/276.93  ** KEPT (pick-wt=29): 194 [] -class_Ring__and__Field_Oordered__field(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oinverse__class_Odivide(B,C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.93/276.93  ** KEPT (pick-wt=29): 195 [] -class_Ring__and__Field_Oordered__field(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oinverse__class_Odivide(B,C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.93/276.93  ** KEPT (pick-wt=38): 196 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),D)).
% 276.93/276.93  ** KEPT (pick-wt=38): 197 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Oinverse__class_Odivide(D,C,A))).
% 276.93/276.93  ** KEPT (pick-wt=38): 198 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oinverse__class_Odivide(B,C,A)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C)).
% 276.93/276.93  ** KEPT (pick-wt=38): 199 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oinverse__class_Odivide(D,C,A)),B)).
% 276.93/276.93  ** KEPT (pick-wt=13): 200 [] -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).
% 276.93/276.93  ** KEPT (pick-wt=14): 202 [copy,201,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).
% 276.93/276.93  ** KEPT (pick-wt=11): 203 [] -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).
% 276.93/276.93  ** KEPT (pick-wt=9): 204 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 276.93/276.93  ** KEPT (pick-wt=9): 205 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 276.93/276.93  ** KEPT (pick-wt=11): 207 [copy,206,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.
% 276.93/276.93  ** KEPT (pick-wt=9): 208 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 276.93/276.93  ** KEPT (pick-wt=9): 209 [] -class_OrderedGroup_Omonoid__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 276.93/276.93  ** KEPT (pick-wt=9): 210 [] -class_OrderedGroup_Omonoid__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 276.93/276.93  ** KEPT (pick-wt=9): 211 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 276.93/276.93    Following clause subsumed by 204 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.
% 276.93/276.93  ** KEPT (pick-wt=20): 213 [copy,212,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).
% 276.93/276.93  ** KEPT (pick-wt=24): 214 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.93/276.93  ** KEPT (pick-wt=24): 215 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A)),c_HOL_Ozero__class_Ozero(A))).
% 276.93/276.93  ** KEPT (pick-wt=24): 216 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.93/276.93  ** KEPT (pick-wt=24): 217 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A))).
% 276.93/276.93  ** KEPT (pick-wt=24): 218 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A))).
% 276.93/276.93  ** KEPT (pick-wt=24): 219 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.93/276.93  ** KEPT (pick-wt=22): 220 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oone__class_Oone(A)),c_Power_Opower__class_Opower(B,c_Suc(C),A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oone__class_Oone(A)),B)).
% 276.93/276.93  ** KEPT (pick-wt=24): 221 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.93/276.93  ** KEPT (pick-wt=24): 222 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A)),c_HOL_Ozero__class_Ozero(A))).
% 276.93/276.93  ** KEPT (pick-wt=7): 224 [copy,223,flip.2] -class_Ring__and__Field_Ozero__ne_q__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 276.93/276.93  ** KEPT (pick-wt=10): 225 [] -class_OrderedGroup_Omonoid__mult(A)|c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(A),B,A)=c_HOL_Oone__class_Oone(A).
% 276.93/276.93    Following clause subsumed by 224 during input processing: 0 [] -class_Ring__and__Field_Ozero__ne_q__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 276.93/276.93  ** KEPT (pick-wt=9): 226 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Oone__class_Oone(A),A)=B.
% 276.93/276.93  ** KEPT (pick-wt=15): 227 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(B)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 276.93/276.93  ** KEPT (pick-wt=15): 228 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(A)),B)).
% 276.93/276.93  ** KEPT (pick-wt=15): 229 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),C))| -c_List_Oall__from__to__nat(A,B,C).
% 276.93/276.93  ** KEPT (pick-wt=22): 230 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(A)),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),C),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),C)).
% 276.93/276.93  ** KEPT (pick-wt=18): 231 [] A=B| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(B)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 276.93/276.93  ** KEPT (pick-wt=18): 232 [] A=B| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),c_Suc(A)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),A)).
% 276.93/276.93    Following clause subsumed by 231 during input processing: 0 [] A=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(B))).
% 276.93/276.93  ** KEPT (pick-wt=19): 233 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(A)),B))|c_Suc(A)=B| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 276.93/276.93  ** KEPT (pick-wt=15): 234 [] -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),c_Suc(A))).
% 276.93/276.93  ** KEPT (pick-wt=16): 235 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(A)),c_Suc(B)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 276.93/276.93  ** KEPT (pick-wt=16): 236 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(A)),c_Suc(B))).
% 276.93/276.94    Following clause subsumed by 235 during input processing: 0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(A)),c_Suc(B)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 276.93/276.94  ** KEPT (pick-wt=16): 237 [] c_Orderings_Opreorder(c_COMBC(A,B,B,tc_bool),c_COMBC(C,B,B,tc_bool),B)| -c_Orderings_Opreorder(A,C,B).
% 276.93/276.94  ** KEPT (pick-wt=16): 238 [] c_Orderings_Olinorder(c_COMBC(A,B,B,tc_bool),c_COMBC(C,B,B,tc_bool),B)| -c_Orderings_Olinorder(A,C,B).
% 276.93/276.94  ** KEPT (pick-wt=16): 239 [] c_Orderings_Oorder(c_COMBC(A,B,B,tc_bool),c_COMBC(C,B,B,tc_bool),B)| -c_Orderings_Oorder(A,C,B).
% 276.93/276.94  ** KEPT (pick-wt=16): 240 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_Suc(A)),c_Suc(B)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),B)).
% 276.93/276.94  ** KEPT (pick-wt=16): 241 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_Suc(A)),c_Suc(B))).
% 276.93/276.94  ** KEPT (pick-wt=8): 242 [] -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_Suc(A)),A)).
% 276.93/276.94  ** KEPT (pick-wt=15): 243 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),c_Suc(B)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),B)).
% 276.93/276.94  ** KEPT (pick-wt=15): 244 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_Suc(A)),B)).
% 276.93/276.94  ** KEPT (pick-wt=15): 245 [] -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_Suc(B)),A)).
% 276.93/276.94  ** KEPT (pick-wt=19): 246 [] A=c_Suc(B)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),c_Suc(B))).
% 276.93/276.94  ** KEPT (pick-wt=18): 247 [] hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,E)|B=C.
% 276.93/276.94  ** KEPT (pick-wt=9): 248 [] -class_OrderedGroup_Omonoid__mult(A)|c_Power_Opower__class_Opower(B,c_HOL_Oone__class_Oone(tc_nat),A)=B.
% 276.93/276.94  ** KEPT (pick-wt=9): 249 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Power_Opower__class_Opower(B,c_HOL_Oone__class_Oone(tc_nat),A)=B.
% 276.93/276.94  ** KEPT (pick-wt=34): 250 [] hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(C,D)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),C))|A=D|B=D.
% 276.93/276.94  ** KEPT (pick-wt=34): 251 [] hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(C,D)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),C))|A=B|B=D.
% 276.93/276.94  ** KEPT (pick-wt=15): 252 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(C,B))).
% 276.93/276.94    Following clause subsumed by 252 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(B,A))).
% 276.93/276.94  ** KEPT (pick-wt=31): 253 [] hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),C))|B=D| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(C,D))).
% 276.93/276.94  ** KEPT (pick-wt=15): 254 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(C,A))).
% 276.93/276.94    Following clause subsumed by 254 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(B,A))).
% 276.93/276.94  ** KEPT (pick-wt=34): 255 [] hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(C,D)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),C))|B=D|A=D.
% 276.93/276.94  ** KEPT (pick-wt=34): 256 [] hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(C,D)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),C))|A=B|A=D.
% 276.93/276.94  ** KEPT (pick-wt=54): 257 [] c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(A),hAPP(c_COMBC(c_in(B),B,tc_fun(B,tc_bool),tc_bool),C),tc_bool,tc_fun(A,tc_fun(A,A)),B),B,A,tc_fun(A,A)),D),B,A,A),E),F,B,A)=C|hBOOL(hAPP(hAPP(c_in(A),E),F))| -hBOOL(hAPP(hAPP(c_in(A),D),F)).
% 276.93/276.94  ** KEPT (pick-wt=29): 258 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oplus__class_Oplus(B,C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.93/276.94  ** KEPT (pick-wt=29): 259 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oplus__class_Oplus(B,C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 276.93/276.94  ** KEPT (pick-wt=29): 260 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)| -class_OrderedGroup_Ocomm__monoid__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Oplus__class_Oplus(C,D,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ozero__class_Ozero(A)),C)).
% 276.93/276.94  ** KEPT (pick-wt=29): 261 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)| -class_OrderedGroup_Ocomm__monoid__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Oplus__class_Oplus(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C)).
% 276.93/276.94  ** KEPT (pick-wt=29): 262 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oplus__class_Oplus(B,C,A)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.93/276.94  ** KEPT (pick-wt=29): 263 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oplus__class_Oplus(B,C,A)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A))).
% 276.93/276.94  ** KEPT (pick-wt=24): 264 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_Relation_Orefl__on(D,C,A).
% 276.93/276.94  ** KEPT (pick-wt=24): 265 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,D,A,A)),E))| -c_Relation_Orefl__on(C,E,A).
% 276.93/276.94  ** KEPT (pick-wt=24): 266 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(D,B,A,A)),E))| -c_Relation_Orefl__on(C,E,A).
% 276.93/276.94    Following clause subsumed by 264 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_Relation_Orefl__on(D,C,A).
% 276.93/276.94  ** KEPT (pick-wt=47): 267 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D))|hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(C,B,A,A)),D))|C=B| -hBOOL(hAPP(hAPP(c_in(A),B),E))| -hBOOL(hAPP(hAPP(c_in(A),C),E))| -c_Relation_Ototal__on(E,D,A).
% 276.93/276.94  ** KEPT (pick-wt=24): 268 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,D)),c_Pair(B,E,A,D)),c_Product__Type_OSigma(C,F,A,D))).
% 276.93/276.94  ** KEPT (pick-wt=26): 269 [] hBOOL(hAPP(hAPP(c_in(A),B),hAPP(C,D)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(E,A)),c_Pair(D,B,E,A)),c_Product__Type_OSigma(F,C,E,A))).
% 276.93/276.94  ** KEPT (pick-wt=23): 270 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_ODomain(C,A,D)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,D)),c_Pair(B,E,A,D)),C)).
% 276.93/276.94    Following clause subsumed by 270 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_ODomain(C,A,D)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,D)),c_Pair(B,E,A,D)),C)).
% 276.93/276.94  ** KEPT (pick-wt=23): 271 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_ORange(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(D,A)),c_Pair(E,B,D,A)),C)).
% 276.93/276.94    Following clause subsumed by 271 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_ORange(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(D,A)),c_Pair(E,B,D,A)),C)).
% 276.93/276.94  ** KEPT (pick-wt=24): 272 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,D,A,A)),E))| -c_Equiv__Relations_Oe_quiv(C,E,A).
% 276.93/276.94  ** KEPT (pick-wt=24): 273 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(D,B,A,A)),E))| -c_Equiv__Relations_Oe_quiv(C,E,A).
% 276.93/276.94  ** KEPT (pick-wt=22): 274 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),c_Relation_OId__on(C,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 276.93/276.94  ** KEPT (pick-wt=22): 275 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,D,A,A)),c_Relation_OId__on(C,A))).
% 276.93/276.94  ** KEPT (pick-wt=31): 276 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_OImage(C,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(E,A)),c_Pair(F,B,E,A)),C))| -hBOOL(hAPP(hAPP(c_in(E),F),D)).
% 276.93/276.94    Following clause subsumed by 276 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_OImage(C,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(E,A)),c_Pair(F,B,E,A)),C))| -hBOOL(hAPP(hAPP(c_in(E),F),D)).
% 276.93/276.94  ** KEPT (pick-wt=31): 277 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Wellfounded_Oacc(C,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,D,A,A)),C))| -hBOOL(hAPP(hAPP(c_in(A),D),c_Wellfounded_Oacc(C,A))).
% 276.93/276.94    Following clause subsumed by 277 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Wellfounded_Oacc(C,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,D,A,A)),C))| -hBOOL(hAPP(hAPP(c_in(A),D),c_Wellfounded_Oacc(C,A))).
% 276.93/276.94  ** KEPT (pick-wt=33): 278 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),c_Product__Type_OSigma(E,F,A,B)))| -hBOOL(hAPP(hAPP(c_in(B),D),hAPP(F,C)))| -hBOOL(hAPP(hAPP(c_in(A),C),E)).
% 276.93/276.94    Following clause subsumed by 278 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),c_Product__Type_OSigma(E,F,A,B)))| -hBOOL(hAPP(hAPP(c_in(B),D),hAPP(F,C)))| -hBOOL(hAPP(hAPP(c_in(A),C),E)).
% 276.93/276.94  ** KEPT (pick-wt=15): 279 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(A),c_HOL_Oone__class_Oone(A),A))).
% 276.93/276.94  ** KEPT (pick-wt=27): 280 [] -class_Ring__and__Field_Oordered__field(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(A),c_HOL_Oone__class_Oone(A),A),A)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 276.93/276.94  ** KEPT (pick-wt=27): 281 [] -class_Ring__and__Field_Oordered__field(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(A),c_HOL_Oone__class_Oone(A),A),A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 276.93/276.94  ** KEPT (pick-wt=16): 282 [] -class_Orderings_Opreorder(A)|c_Orderings_Opreorder(c_COMBC(c_lesse_quals(A),A,A,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(A),A,A,tc_bool),A).
% 276.93/276.94  ** KEPT (pick-wt=16): 283 [] -class_Orderings_Oorder(A)|c_Orderings_Oorder(c_COMBC(c_lesse_quals(A),A,A,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(A),A,A,tc_bool),A).
% 276.93/276.94  ** KEPT (pick-wt=16): 284 [] -class_Orderings_Olinorder(A)|c_Orderings_Olinorder(c_COMBC(c_lesse_quals(A),A,A,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(A),A,A,tc_bool),A).
% 276.93/276.94  ** KEPT (pick-wt=30): 285 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_Power_Opower__class_Opower(B,C,A)),c_Power_Opower__class_Opower(B,D,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),C),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oone__class_Oone(A)),B)).
% 276.93/276.94  ** KEPT (pick-wt=30): 286 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_Power_Opower__class_Opower(D,B,A)),c_Power_Opower__class_Opower(D,C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oone__class_Oone(A)),D)).
% 276.93/276.94    Following clause subsumed by 285 during input processing: 0 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_Power_Opower__class_Opower(B,C,A)),c_Power_Opower__class_Opower(B,D,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oone__class_Oone(A)),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),C),D)).
% 276.93/276.94    Following clause subsumed by 286 during input processing: 0 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_Power_Opower__class_Opower(D,B,A)),c_Power_Opower__class_Opower(D,C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oone__class_Oone(A)),D)).
% 276.93/276.94  ** KEPT (pick-wt=26): 287 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(A,B)),hAPP(A,C)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(D,D)),c_Pair(B,C,D,D)),c_Wellfounded_Omeasure(A,D))).
% 276.93/276.94  ** KEPT (pick-wt=26): 288 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Wellfounded_Omeasure(D,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(D,B)),hAPP(D,C))).
% 276.93/276.94  ** KEPT (pick-wt=27): 289 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Wellfounded_Omlex__prod(D,E,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(D,B)),hAPP(D,C))).
% 276.93/276.94  ** KEPT (pick-wt=30): 290 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Power_Opower__class_Opower(B,C,A)),c_Power_Opower__class_Opower(B,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oone__class_Oone(A)),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),C),D)).
% 276.93/276.94  ** KEPT (pick-wt=40): 291 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Wellfounded_Omlex__prod(D,E,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),E))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),hAPP(D,B)),hAPP(D,C))).
% 276.93/276.94  ** KEPT (pick-wt=23): 292 [] c_List_Oall__from__to__nat(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),C)| -hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),C))| -c_List_Oall__from__to__nat(A,B,C).
% 276.93/276.94  ** KEPT (pick-wt=57): 293 [] c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(A),hAPP(c_COMBC(c_in(B),B,tc_fun(B,tc_bool),tc_bool),C),tc_bool,tc_fun(A,tc_fun(A,A)),B),B,A,tc_fun(A,A)),D),B,A,A),E),F,B,A)=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool))| -hBOOL(hAPP(hAPP(c_in(A),E),F))| -hBOOL(hAPP(hAPP(c_in(A),D),F)).
% 276.93/276.94  ** KEPT (pick-wt=30): 294 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Power_Opower__class_Opower(B,C,A)),c_Power_Opower__class_Opower(B,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),C),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oone__class_Oone(A)),B)).
% 276.93/276.94  ** KEPT (pick-wt=30): 295 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Power_Opower__class_Opower(D,B,A)),c_Power_Opower__class_Opower(D,C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oone__class_Oone(A)),D)).
% 276.93/276.94    Following clause subsumed by 295 during input processing: 0 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Power_Opower__class_Opower(D,B,A)),c_Power_Opower__class_Opower(D,C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oone__class_Oone(A)),D)).
% 276.93/276.94  ** KEPT (pick-wt=202): 296 [] v_thesis____| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_sko__local__Xthat__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____,A)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))).
% 276.93/276.94  ** KEPT (pick-wt=120): 297 [] v_thesis____| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),v_sko__local__Xthat__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____,A)),A))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))).
% 276.93/276.94  ** KEPT (pick-wt=22): 298 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oplus__class_Oplus(B,C,A)),c_HOL_Oplus__class_Oplus(B,D,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),D)).
% 276.93/276.94  ** KEPT (pick-wt=22): 299 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oplus__class_Oplus(D,B,A)),c_HOL_Oplus__class_Oplus(D,C,A))).
% 276.93/276.94  ** KEPT (pick-wt=20): 300 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat)),c_HOL_Oplus__class_Oplus(C,B,tc_nat)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),C)).
% 276.93/276.94  ** KEPT (pick-wt=20): 301 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(C,A,tc_nat)),c_HOL_Oplus__class_Oplus(C,B,tc_nat))).
% 276.93/276.94  ** KEPT (pick-wt=20): 302 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat)),c_HOL_Oplus__class_Oplus(A,C,tc_nat)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),C)).
% 276.93/276.94  ** KEPT (pick-wt=23): 303 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),C)).
% 276.93/276.94  ** KEPT (pick-wt=23): 304 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),C)).
% 276.93/276.94  ** KEPT (pick-wt=23): 305 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),C)).
% 276.93/276.94  ** KEPT (pick-wt=23): 306 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 276.93/276.94  ** KEPT (pick-wt=21): 307 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),C),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),C)).
% 276.93/276.94  ** KEPT (pick-wt=9): 308 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),B)).
% 276.93/276.94  ** KEPT (pick-wt=9): 309 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),B)).
% 276.93/276.94  ** KEPT (pick-wt=23): 310 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 276.93/276.94  ** KEPT (pick-wt=23): 311 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)).
% 276.93/276.94  ** KEPT (pick-wt=29): 312 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Oplus__class_Oplus(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),E),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Oplus__class_Oplus(C,E,A))).
% 276.93/276.94  ** KEPT (pick-wt=14): 313 [] c_Pair(A,B,C,D)!=c_Pair(E,F,C,D)|A=E.
% 276.93/276.94  ** KEPT (pick-wt=14): 314 [] c_Pair(A,B,C,D)!=c_Pair(E,F,C,D)|B=F.
% 276.93/276.94  ** KEPT (pick-wt=19): 315 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|C=B| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 276.93/276.94    Following clause subsumed by 315 during input processing: 0 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|C=B.
% 276.93/276.94  ** KEPT (pick-wt=17): 316 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))|A=B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),B)).
% 276.93/276.94    Following clause subsumed by 316 during input processing: 0 [] A=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),B)).
% 276.93/276.94    Following clause subsumed by 316 during input processing: 0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))|A=B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),B)).
% 276.93/276.94  ** KEPT (pick-wt=19): 317 [] -class_Orderings_Oorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 276.93/276.94    Following clause subsumed by 317 during input processing: 0 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 276.93/276.94    Following clause subsumed by 317 during input processing: 0 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 276.93/276.94    Following clause subsumed by 317 during input processing: 0 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|B=C.
% 276.93/276.94  ** KEPT (pick-wt=19): 318 [] -class_Orderings_Olinorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 276.93/276.94    Following clause subsumed by 318 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 276.93/276.94  ** KEPT (pick-wt=16): 319 [] -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 276.93/276.94  ** KEPT (pick-wt=16): 320 [] -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 276.93/276.94  ** KEPT (pick-wt=16): 321 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 276.93/276.94  ** KEPT (pick-wt=16): 322 [] -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 276.93/276.94    Following clause subsumed by 322 during input processing: 0 [] -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 276.93/276.94  ** KEPT (pick-wt=22): 323 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oplus__class_Oplus(B,C,A)),c_HOL_Oplus__class_Oplus(B,D,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),D)).
% 276.93/276.94  ** KEPT (pick-wt=22): 324 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oplus__class_Oplus(B,D,A)),c_HOL_Oplus__class_Oplus(C,D,A))).
% 276.93/276.94  ** KEPT (pick-wt=22): 325 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oplus__class_Oplus(B,C,A)),c_HOL_Oplus__class_Oplus(D,C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)).
% 276.93/276.94  ** KEPT (pick-wt=22): 326 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oplus__class_Oplus(B,C,A)),c_HOL_Oplus__class_Oplus(D,C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)).
% 276.93/276.94  ** KEPT (pick-wt=10): 327 [] -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat)),B)).
% 276.93/276.94  ** KEPT (pick-wt=10): 328 [] -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat)),A)).
% 276.93/276.94  ** KEPT (pick-wt=10): 329 [] -class_Orderings_Otop(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Orderings_Otop__class_Otop(A))).
% 276.93/276.94  ** KEPT (pick-wt=13): 330 [] -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(A),A))).
% 276.93/276.95  ** KEPT (pick-wt=20): 331 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat)),c_HOL_Oplus__class_Oplus(A,C,tc_nat)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),B),C)).
% 276.93/276.95  ** KEPT (pick-wt=20): 332 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_HOL_Oplus__class_Oplus(C,A,tc_nat)),c_HOL_Oplus__class_Oplus(C,B,tc_nat))).
% 276.93/276.95  ** KEPT (pick-wt=20): 333 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat)),c_HOL_Oplus__class_Oplus(C,B,tc_nat)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),C)).
% 276.93/276.95  ** KEPT (pick-wt=22): 334 [] -class_OrderedGroup_Opordered__ab__semigroup__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oplus__class_Oplus(B,C,A)),c_HOL_Oplus__class_Oplus(B,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D)).
% 276.93/276.95  ** KEPT (pick-wt=22): 335 [] -class_OrderedGroup_Opordered__ab__semigroup__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oplus__class_Oplus(B,C,A)),c_HOL_Oplus__class_Oplus(D,C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 276.93/276.95  ** KEPT (pick-wt=22): 336 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oplus__class_Oplus(D,B,A)),c_HOL_Oplus__class_Oplus(D,C,A))).
% 276.93/276.95  ** KEPT (pick-wt=22): 337 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oplus__class_Oplus(B,C,A)),c_HOL_Oplus__class_Oplus(B,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D)).
% 276.93/276.95  ** KEPT (pick-wt=22): 338 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oplus__class_Oplus(B,D,A)),c_HOL_Oplus__class_Oplus(C,D,A))).
% 276.93/276.95  ** KEPT (pick-wt=22): 339 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oplus__class_Oplus(B,C,A)),c_HOL_Oplus__class_Oplus(D,C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 276.93/276.95  ** KEPT (pick-wt=16): 340 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 276.93/276.95  ** KEPT (pick-wt=16): 341 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 276.93/276.95  ** KEPT (pick-wt=14): 342 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 276.93/276.95    Following clause subsumed by 342 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 276.93/276.95  ** KEPT (pick-wt=27): 343 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat)),c_HOL_Oplus__class_Oplus(C,D,tc_nat)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),C)).
% 276.93/276.95  ** KEPT (pick-wt=29): 344 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oplus__class_Oplus(B,C,A)),c_HOL_Oplus__class_Oplus(D,E,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),E))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)).
% 276.93/276.95  ** KEPT (pick-wt=19): 345 [] -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 276.93/276.95    Following clause subsumed by 345 during input processing: 0 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|C=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 276.93/276.95  ** KEPT (pick-wt=19): 346 [] -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 276.93/276.95    Following clause subsumed by 346 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 276.93/276.95    Following clause subsumed by 345 during input processing: 0 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B))|C=B.
% 276.93/276.95    Following clause subsumed by 346 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 276.93/276.95  ** KEPT (pick-wt=17): 347 [] A=B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),B),A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),B)).
% 276.93/276.95    Following clause subsumed by 345 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 276.93/276.95  ** KEPT (pick-wt=19): 348 [] -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B))|C=B.
% 276.93/276.95  ** KEPT (pick-wt=9): 349 [] -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B)).
% 276.93/276.95  ** KEPT (pick-wt=9): 350 [] -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B)).
% 276.93/276.95  ** KEPT (pick-wt=9): 351 [] -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B)).
% 276.93/276.95  ** KEPT (pick-wt=7): 352 [] -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),A)).
% 276.93/276.95    Following clause subsumed by 352 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),A)).
% 276.93/276.95  ** KEPT (pick-wt=23): 353 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 276.93/276.95  ** KEPT (pick-wt=11): 354 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 276.93/276.95  ** KEPT (pick-wt=23): 355 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Oplus__class_Oplus(C,D,tc_nat)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),C),B))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),D)).
% 276.93/276.95  ** KEPT (pick-wt=11): 356 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 276.93/276.95    Following clause subsumed by 354 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).
% 276.93/276.95  ** KEPT (pick-wt=17): 357 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_HOL_Oplus__class_Oplus(B,C,tc_nat)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),C)).
% 276.93/276.95  ** KEPT (pick-wt=17): 358 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_HOL_Oplus__class_Oplus(B,C,tc_nat)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 276.93/276.95  ** KEPT (pick-wt=17): 359 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Oplus__class_Oplus(A,C,tc_nat)),B)).
% 276.93/276.95    Following clause subsumed by 357 during input processing: 0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_HOL_Oplus__class_Oplus(B,C,tc_nat)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),C)).
% 276.93/276.95    Following clause subsumed by 358 during input processing: 0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_HOL_Oplus__class_Oplus(B,C,tc_nat)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 276.93/276.95  ** KEPT (pick-wt=27): 360 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat)),c_HOL_Oplus__class_Oplus(C,D,tc_nat)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),C)).
% 276.93/276.95  ** KEPT (pick-wt=29): 361 [] -class_OrderedGroup_Opordered__ab__semigroup__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Oplus__class_Oplus(B,C,A)),c_HOL_Oplus__class_Oplus(D,E,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),E))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 276.93/276.95  ** KEPT (pick-wt=23): 362 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)).
% 276.93/276.95  ** KEPT (pick-wt=23): 363 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),C)).
% 276.93/276.95  ** KEPT (pick-wt=17): 365 [copy,364,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).
% 276.93/276.95  ** KEPT (pick-wt=17): 366 [] -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).
% 276.93/276.95  ** KEPT (pick-wt=17): 367 [] -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).
% 276.93/276.95  ** KEPT (pick-wt=17): 368 [] -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).
% 276.93/276.95  ** KEPT (pick-wt=17): 369 [] -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).
% 276.93/276.95    Following clause subsumed by 365 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).
% 276.93/276.95  ** KEPT (pick-wt=17): 370 [] -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).
% 276.93/276.95  ** KEPT (pick-wt=17): 371 [] -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).
% 276.93/276.95    Following clause subsumed by 365 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 276.93/276.95  ** KEPT (pick-wt=20): 372 [] -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.
% 276.93/276.95  ** KEPT (pick-wt=17): 373 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),c_HOL_Oplus__class_Oplus(B,C,tc_nat)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),C)).
% 276.93/276.95  ** KEPT (pick-wt=17): 374 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),c_HOL_Oplus__class_Oplus(B,C,tc_nat)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),B)).
% 276.93/276.95  ** KEPT (pick-wt=17): 375 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_HOL_Oplus__class_Oplus(C,A,tc_nat)),B)).
% 276.93/276.95  ** KEPT (pick-wt=17): 376 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_HOL_Oplus__class_Oplus(A,C,tc_nat)),B)).
% 276.93/276.95    Following clause subsumed by 373 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),c_HOL_Oplus__class_Oplus(B,C,tc_nat)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),C)).
% 276.93/276.95    Following clause subsumed by 374 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),c_HOL_Oplus__class_Oplus(B,C,tc_nat)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),B)).
% 276.93/276.95  ** KEPT (pick-wt=11): 377 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(C,B)).
% 276.93/276.95  ** KEPT (pick-wt=11): 378 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),A)).
% 276.93/276.95  ** KEPT (pick-wt=16): 379 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 276.93/276.95    Following clause subsumed by 350 during input processing: 0 [] -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B)).
% 276.93/276.95    Following clause subsumed by 379 during input processing: 0 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B))|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),B)).
% 276.93/276.95  ** KEPT (pick-wt=16): 380 [] -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 276.93/276.95    Following clause subsumed by 379 during input processing: 0 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 276.93/276.95    Following clause subsumed by 380 during input processing: 0 [] -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 276.93/276.95    Following clause subsumed by 379 during input processing: 0 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 276.93/276.95  ** KEPT (pick-wt=16): 381 [] -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 276.93/276.95  ** KEPT (pick-wt=12): 382 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Oplus__class_Oplus(A,C,tc_nat)|B=C.
% 276.93/276.95  ** KEPT (pick-wt=12): 383 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Oplus__class_Oplus(C,B,tc_nat)|A=C.
% 276.93/276.95    Following clause subsumed by 382 during input processing: 0 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Oplus__class_Oplus(A,C,tc_nat)|B=C.
% 276.93/276.95  ** KEPT (pick-wt=16): 384 [] -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.
% 276.93/276.95  ** KEPT (pick-wt=14): 385 [] -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.
% 276.93/276.95  ** KEPT (pick-wt=14): 386 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(B,D,A)|C=D.
% 276.93/276.95  ** KEPT (pick-wt=14): 387 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(D,C,A)|B=D.
% 276.93/276.95  ** KEPT (pick-wt=23): 388 [] -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).
% 276.93/276.95  ** KEPT (pick-wt=29): 389 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oplus__class_Oplus(B,C,A)),c_HOL_Oplus__class_Oplus(D,E,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),E))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 276.93/276.95  ** KEPT (pick-wt=29): 390 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oplus__class_Oplus(B,C,A)),c_HOL_Oplus__class_Oplus(D,E,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),E))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)).
% 276.93/276.95  ** KEPT (pick-wt=102): 391 [] hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),A),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____))).
% 276.93/276.95  ** KEPT (pick-wt=1): 392 [] -v_thesis____.
% 276.93/276.95  ** KEPT (pick-wt=114): 394 [copy,393,unit_del,392] -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),hAPP(v_n,A)),A))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))).
% 276.93/276.97  ** KEPT (pick-wt=196): 396 [copy,395,unit_del,392] -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),hAPP(v_n,A)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))).
% 276.93/276.97  ** KEPT (pick-wt=6): 397 [] class_Lattices_Oboolean__algebra(tc_fun(A,B))| -class_Lattices_Oboolean__algebra(B).
% 276.93/276.97  ** KEPT (pick-wt=6): 398 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 276.93/276.97  ** KEPT (pick-wt=6): 399 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 276.93/276.97  ** KEPT (pick-wt=6): 400 [] class_Orderings_Otop(tc_fun(A,B))| -class_Orderings_Otop(B).
% 276.93/276.97  ** KEPT (pick-wt=6): 401 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 276.93/276.97  ** KEPT (pick-wt=7): 402 [] A=B| -c_fe_qual(A,B,C).
% 276.93/276.97  21 back subsumes 19.
% 276.93/276.97  81 back subsumes 80.
% 276.93/276.97  165 back subsumes 163.
% 276.93/276.97  175 back subsumes 174.
% 276.93/276.97  176 back subsumes 173.
% 276.93/276.97  418 back subsumes 417.
% 276.93/276.97  
% 276.93/276.97  ------------> process sos:
% 276.93/276.97  ** KEPT (pick-wt=3): 483 [] A=A.
% 276.93/276.97  ** KEPT (pick-wt=18): 484 [] hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ouminus__class_Ouminus(C,tc_fun(A,tc_bool))))|hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 276.93/276.97  ** KEPT (pick-wt=11): 485 [] c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 276.93/276.97  ---> New Demodulator: 486 [new_demod,485] c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 276.93/276.97  ** KEPT (pick-wt=19): 487 [] c_Set_Ovimage(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),D,C)=c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(A,B,D,C),tc_fun(D,tc_bool)).
% 276.93/276.97  ** KEPT (pick-wt=8): 488 [] c_Fun_Oinj__on(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C).
% 276.93/276.97  ** KEPT (pick-wt=13): 489 [] c_Relation_OImage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 276.93/276.97  ** KEPT (pick-wt=13): 490 [] c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 276.93/276.97  ---> New Demodulator: 491 [new_demod,490] c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 276.93/276.97  ** KEPT (pick-wt=7): 492 [] c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A).
% 276.93/276.97  ** KEPT (pick-wt=13): 494 [copy,493,flip.1] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))=c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 276.93/276.97  ---> New Demodulator: 495 [new_demod,494] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))=c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 276.93/276.97  ** KEPT (pick-wt=13): 496 [] c_Set_Ovimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 276.93/276.97  ** KEPT (pick-wt=6): 497 [] c_Relation_Orefl__on(A,c_Relation_OId__on(A,B),B).
% 276.93/276.97  ** KEPT (pick-wt=8): 498 [] c_Relation_ODomain(c_Relation_OId__on(A,B),B,B)=A.
% 276.93/276.97  ---> New Demodulator: 499 [new_demod,498] c_Relation_ODomain(c_Relation_OId__on(A,B),B,B)=A.
% 276.93/276.97  ** KEPT (pick-wt=57): 500 [] c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(A),hAPP(c_COMBC(c_in(B),B,tc_fun(B,tc_bool),tc_bool),C),tc_bool,tc_fun(A,tc_fun(A,A)),B),B,A,tc_fun(A,A)),D),B,A,A),E),F,B,A)=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))|hBOOL(hAPP(hAPP(c_in(A),E),F))|hBOOL(hAPP(hAPP(c_in(A),D),F)).
% 276.93/276.97  ** KEPT (pick-wt=8): 501 [] c_Relation_ORange(c_Relation_OId__on(A,B),B,B)=A.
% 276.93/276.97  ---> New Demodulator: 502 [new_demod,501] c_Relation_ORange(c_Relation_OId__on(A,B),B,B)=A.
% 276.93/276.97  ** KEPT (pick-wt=11): 503 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(c_HOL_Oplus__class_Oplus(A,B,tc_nat)))).
% 276.93/276.97  ** KEPT (pick-wt=11): 504 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(c_HOL_Oplus__class_Oplus(B,A,tc_nat)))).
% 276.93/276.97    Following clause subsumed by 503 during input processing: 0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(c_HOL_Oplus__class_Oplus(A,B,tc_nat)))).
% 276.93/276.97  ** KEPT (pick-wt=8): 505 [] c_Suc(A)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 276.93/276.97  ---> New Demodulator: 506 [new_demod,505] c_Suc(A)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 276.93/276.97  ** KEPT (pick-wt=11): 508 [copy,507,demod,506] c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat).
% 276.93/276.97  ** KEPT (pick-wt=11): 509 [] c_List_Oall__from__to__nat(A,B,C)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),C)).
% 276.93/276.97  ** KEPT (pick-wt=11): 511 [copy,510,demod,506] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 276.93/276.97    Following clause subsumed by 511 during input processing: 0 [demod,506] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 276.93/276.97    Following clause subsumed by 511 during input processing: 0 [demod,506,unit_del,352] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 276.93/276.97  ** KEPT (pick-wt=18): 513 [copy,512,demod,506] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),A)).
% 276.93/276.97  ** KEPT (pick-wt=17): 515 [copy,514,demod,506,506] c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),B,tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 276.93/276.97  ** KEPT (pick-wt=17): 517 [copy,516,demod,506,506,flip.1] c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 276.93/276.97  ---> New Demodulator: 518 [new_demod,517] c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 276.93/276.97  ** KEPT (pick-wt=17): 520 [copy,519,demod,506,506] c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),B,tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 276.93/276.97  ** KEPT (pick-wt=18): 522 [copy,521,demod,506] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),B))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),B),A)).
% 276.93/276.97  ** KEPT (pick-wt=15): 524 [copy,523,demod,506,506] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 276.93/276.97  ** KEPT (pick-wt=21): 526 [copy,525,demod,495,495] c_Set_Ovimage(A,c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)),C,B)=c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 276.93/276.97  ** KEPT (pick-wt=18): 528 [copy,527,factor_simp] A=B|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(C,B))).
% 276.93/276.97  ** KEPT (pick-wt=21): 529 [] A=B|B=A|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(C,A))).
% 276.93/276.97  ** KEPT (pick-wt=12): 531 [copy,530,demod,495] c_Fun_Oinj__on(v_h____,c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat).
% 276.93/276.97  ** KEPT (pick-wt=13): 533 [copy,532,demod,506,flip.1] hAPP(c_lesse_quals(tc_nat),c_HOL_Oplus__class_Oplus(v_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat))=hAPP(c_HOL_Oord__class_Oless(tc_nat),v_n).
% 276.93/276.97  ---> New Demodulator: 534 [new_demod,533] hAPP(c_lesse_quals(tc_nat),c_HOL_Oplus__class_Oplus(v_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat))=hAPP(c_HOL_Oord__class_Oless(tc_nat),v_n).
% 276.93/276.97  ** KEPT (pick-wt=87): 535 [] hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),A),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____)),c_Arrow__Order__Mirabelle_OProf)).
% 276.93/276.97  ** KEPT (pick-wt=7): 536 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),A)).
% 276.93/276.97    Following clause subsumed by 536 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),A)).
% 276.93/276.97  ** KEPT (pick-wt=14): 537 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),B))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),B),A)).
% 276.93/276.97  ** KEPT (pick-wt=17): 538 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),A))|B=A.
% 276.93/276.97    Following clause subsumed by 538 during input processing: 0 [factor_simp] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),C))|C=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),C),B)).
% 276.93/276.97    Following clause subsumed by 538 during input processing: 0 [] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),A))|B=A.
% 276.93/276.97  ** KEPT (pick-wt=10): 539 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),c_HOL_Oplus__class_Oplus(A,B,tc_nat))).
% 276.93/276.97  ** KEPT (pick-wt=10): 540 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),c_HOL_Oplus__class_Oplus(B,A,tc_nat))).
% 276.93/276.97    Following clause subsumed by 539 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_nat),A),c_HOL_Oplus__class_Oplus(A,B,tc_nat))).
% 276.93/276.97  ** KEPT (pick-wt=11): 542 [copy,541,demod,495] hBOOL(hAPP(c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)),B)).
% 276.93/276.97  ** KEPT (pick-wt=14): 544 [copy,543,demod,495] hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)))).
% 276.93/276.97  ** KEPT (pick-wt=9): 545 [] c_HOL_Oplus__class_Oplus(A,B,tc_nat)=c_HOL_Oplus__class_Oplus(B,A,tc_nat).
% 276.93/276.97  ** KEPT (pick-wt=15): 546 [] c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(A,C,tc_nat),tc_nat).
% 276.93/276.97  ** KEPT (pick-wt=15): 547 [] c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),C,tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat).
% 276.93/276.97  ---> New Demodulator: 548 [new_demod,547] c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),C,tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat).
% 276.93/276.97  ** KEPT (pick-wt=14): 549 [] hAPP(c_COMBB(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 276.93/276.97  ---> New Demodulator: 550 [new_demod,549] hAPP(c_COMBB(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 276.93/276.97  ** KEPT (pick-wt=15): 551 [] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 276.93/276.97  ** KEPT (pick-wt=99): 552 [] hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____)))).
% 276.93/276.98  ** KEPT (pick-wt=22): 554 [copy,553,demod,495] hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____)),c_Finite__Set_Ocard(c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))).
% 276.93/276.98  ** KEPT (pick-wt=2): 555 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=2): 556 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=2): 557 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=2): 558 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=2): 559 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=2): 560 [] class_OrderedGroup_Ocancel__semigroup__add(tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=2): 561 [] class_Ring__and__Field_Ono__zero__divisors(tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=2): 562 [] class_Ring__and__Field_Oordered__semidom(tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=2): 563 [] class_Ring__and__Field_Ocomm__semiring__1(tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=2): 564 [] class_OrderedGroup_Oab__semigroup__add(tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=2): 565 [] class_OrderedGroup_Ocomm__monoid__add(tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=2): 566 [] class_Ring__and__Field_Ozero__ne_q__one(tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=2): 567 [] class_Ring__and__Field_Osemiring__0(tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=2): 568 [] class_Ring__and__Field_Omult__zero(tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=2): 569 [] class_OrderedGroup_Omonoid__mult(tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=2): 570 [] class_OrderedGroup_Omonoid__add(tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=2): 571 [] class_Orderings_Opreorder(tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=2): 572 [] class_Orderings_Olinorder(tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=2): 573 [] class_Orderings_Oorder(tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=2): 574 [] class_Orderings_Obot(tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=2): 575 [] class_Power_Opower(tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=2): 576 [] class_Lattices_Oboolean__algebra(tc_bool).
% 276.93/276.98  ** KEPT (pick-wt=2): 577 [] class_Orderings_Opreorder(tc_bool).
% 276.93/276.98  ** KEPT (pick-wt=2): 578 [] class_Orderings_Oorder(tc_bool).
% 276.93/276.98  ** KEPT (pick-wt=2): 579 [] class_Orderings_Otop(tc_bool).
% 276.93/276.98  ** KEPT (pick-wt=2): 580 [] class_Orderings_Obot(tc_bool).
% 276.93/276.98    Following clause subsumed by 551 during input processing: 0 [] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 276.93/276.98    Following clause subsumed by 483 during input processing: 0 [demod,550] hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)).
% 276.93/276.98  ** KEPT (pick-wt=4): 581 [] c_fe_qual(A,A,B).
% 276.93/276.98    Following clause subsumed by 483 during input processing: 0 [copy,483,flip.1] A=A.
% 276.93/276.98  483 back subsumes 478.
% 276.93/276.98  483 back subsumes 477.
% 276.93/276.98  483 back subsumes 476.
% 276.93/276.98  483 back subsumes 475.
% 276.93/276.98  483 back subsumes 466.
% 276.93/276.98  483 back subsumes 463.
% 276.93/276.98  483 back subsumes 449.
% 276.93/276.98  483 back subsumes 448.
% 276.93/276.98  483 back subsumes 426.
% 276.93/276.98  483 back subsumes 423.
% 276.93/276.98  483 back subsumes 422.
% 276.93/276.98  >>>> Starting back demodulation with 486.
% 276.93/276.98  ** KEPT (pick-wt=19): 582 [copy,487,flip.1] c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(A,B,C,D),tc_fun(C,tc_bool))=c_Set_Ovimage(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(D,tc_bool)),C,D).
% 276.93/276.98  ** KEPT (pick-wt=13): 583 [copy,489,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Relation_OImage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 276.93/276.98  >>>> Starting back demodulation with 491.
% 276.93/276.98  >>>> Starting back demodulation with 495.
% 276.93/276.98      >> back demodulating 490 with 495.
% 276.93/276.98      >> back demodulating 470 with 495.
% 276.93/276.98      >> back demodulating 396 with 495.
% 276.93/276.98      >> back demodulating 394 with 495.
% 276.93/276.98      >> back demodulating 297 with 495.
% 276.93/276.98      >> back demodulating 296 with 495.
% 276.93/276.98      >> back demodulating 293 with 495.
% 276.93/276.98      >> back demodulating 247 with 495.
% 276.93/276.98      >> back demodulating 3 with 495.
% 276.93/276.98  ** KEPT (pick-wt=13): 592 [copy,496,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Ovimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),A,C).
% 276.93/276.98  >>>> Starting back demodulation with 499.
% 276.93/276.98  >>>> Starting back demodulation with 502.
% 276.93/276.98  >>>> Starting back demodulation with 506.
% 276.93/276.98      >> back demodulating 504 with 506.
% 276.93/276.98      >> back demodulating 503 with 506.
% 276.93/276.98      >> back demodulating 246 with 506.
% 276.93/276.98      >> back demodulating 245 with 506.
% 276.93/276.98      >> back demodulating 244 with 506.
% 276.93/276.98      >> back demodulating 243 with 506.
% 276.93/276.98      >> back demodulating 242 with 506.
% 276.93/276.98      >> back demodulating 241 with 506.
% 276.93/276.98      >> back demodulating 240 with 506.
% 276.93/276.98      >> back demodulating 236 with 506.
% 276.93/276.98      >> back demodulating 235 with 506.
% 276.93/276.98      >> back demodulating 234 with 506.
% 276.93/276.98      >> back demodulating 233 with 506.
% 276.93/276.98      >> back demodulating 232 with 506.
% 276.93/276.98      >> back demodulating 231 with 506.
% 276.93/276.98      >> back demodulating 230 with 506.
% 276.93/276.98      >> back demodulating 228 with 506.
% 276.93/276.98      >> back demodulating 227 with 506.
% 276.93/276.98      >> back demodulating 220 with 506.
% 276.93/276.98      >> back demodulating 183 with 506.
% 276.93/276.98      >> back demodulating 168 with 506.
% 276.93/276.98      >> back demodulating 167 with 506.
% 276.93/276.98      >> back demodulating 166 with 506.
% 276.93/276.98      >> back demodulating 165 with 506.
% 276.93/276.98      >> back demodulating 164 with 506.
% 276.93/276.98      >> back demodulating 118 with 506.
% 276.93/276.98      >> back demodulating 114 with 506.
% 276.93/276.98      >> back demodulating 96 with 506.
% 276.93/276.98      >> back demodulating 76 with 506.
% 276.93/276.98      >> back demodulating 70 with 506.
% 276.93/276.98    Following clause subsumed by 545 during input processing: 0 [copy,508,flip.1] c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=17): 617 [copy,515,flip.1,demod,548,548] c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),B,tc_nat),tc_nat).
% 276.93/276.98  >>>> Starting back demodulation with 518.
% 276.93/276.98      >> back demodulating 515 with 518.
% 276.93/276.98    Following clause subsumed by 617 during input processing: 0 [copy,520,flip.1,demod,548] c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),B,tc_nat),tc_nat).
% 276.93/276.98  ** KEPT (pick-wt=21): 619 [copy,526,flip.1] c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool))=c_Set_Ovimage(B,c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),A,C).
% 276.93/276.98  528 back subsumes 465.
% 276.93/276.98  >>>> Starting back demodulation with 534.
% 276.93/276.98  536 back subsumes 524.
% 276.93/276.98    Following clause subsumed by 545 during input processing: 0 [copy,545,flip.1] c_HOL_Oplus__class_Oplus(A,B,tc_nat)=c_HOL_Oplus__class_Oplus(B,A,tc_nat).
% 276.93/276.98  545 back subsumes 508.
% 276.93/276.98    Following clause subsumed by 546 during input processing: 0 [copy,546,flip.1] c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(A,C,tc_nat),tc_nat).
% 276.93/276.98  >>>> Starting back demodulation with 548.
% 276.93/276.98      >> back demodulating 520 with 548.
% 280.56/280.58      >> back demodulating 517 with 548.
% 280.56/280.58  >>>> Starting back demodulation with 550.
% 280.56/280.58  ** KEPT (pick-wt=15): 620 [copy,551,flip.1] hAPP(hAPP(A,B),C)=hAPP(hAPP(c_COMBC(A,D,E,F),C),B).
% 280.56/280.58    Following clause subsumed by 487 during input processing: 0 [copy,582,flip.1] c_Set_Ovimage(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),D,C)=c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(A,B,D,C),tc_fun(D,tc_bool)).
% 280.56/280.58    Following clause subsumed by 489 during input processing: 0 [copy,583,flip.1] c_Relation_OImage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 280.56/280.58    Following clause subsumed by 496 during input processing: 0 [copy,592,flip.1] c_Set_Ovimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 280.56/280.58    Following clause subsumed by 618 during input processing: 0 [copy,617,flip.1] c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),B,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 280.56/280.58    Following clause subsumed by 617 during input processing: 0 [copy,618,flip.1] c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),B,tc_nat),tc_nat).
% 280.56/280.58    Following clause subsumed by 526 during input processing: 0 [copy,619,flip.1] c_Set_Ovimage(A,c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)),C,B)=c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 280.56/280.58    Following clause subsumed by 551 during input processing: 0 [copy,620,flip.1] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 280.56/280.58  
% 280.56/280.58  ======= end of input processing =======
% 280.56/280.58  
% 280.56/280.58  =========== start of search ===========
% 280.56/280.58  
% 280.56/280.58  
% 280.56/280.58  Resetting weight limit to 2.
% 280.56/280.58  
% 280.56/280.58  
% 280.56/280.58  Resetting weight limit to 2.
% 280.56/280.58  
% 280.56/280.58  sos_size=103
% 280.56/280.58  
% 280.56/280.58  Search stopped because sos empty.
% 280.56/280.58  
% 280.56/280.58  
% 280.56/280.58  Search stopped because sos empty.
% 280.56/280.58  
% 280.56/280.58  ============ end of search ============
% 280.56/280.58  
% 280.56/280.58  -------------- statistics -------------
% 280.56/280.58  clauses given                105
% 280.56/280.58  clauses generated         144064
% 280.56/280.58  clauses kept                 584
% 280.56/280.58  clauses forward subsumed     158
% 280.56/280.58  clauses back subsumed         20
% 280.56/280.58  Kbytes malloced             9765
% 280.56/280.58  
% 280.56/280.58  ----------- times (seconds) -----------
% 280.56/280.58  user CPU time          3.71          (0 hr, 0 min, 3 sec)
% 280.56/280.58  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 280.56/280.58  wall-clock time      280             (0 hr, 4 min, 40 sec)
% 280.56/280.58  
% 280.56/280.58  Process 32646 finished Wed Jul 27 09:04:40 2022
% 280.56/280.58  Otter interrupted
% 280.56/280.58  PROOF NOT FOUND
%------------------------------------------------------------------------------