TSTP Solution File: ALG349-1 by Otter---3.3

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : ALG349-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jul 27 12:46:34 EDT 2022

% Result   : Unknown 56.83s 56.92s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ALG349-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Jul 27 03:42:35 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 56.37/56.52  ----- Otter 3.3f, August 2004 -----
% 56.37/56.52  The process was started by sandbox on n022.cluster.edu,
% 56.37/56.52  Wed Jul 27 03:42:35 2022
% 56.37/56.52  The command was "./otter".  The process ID is 5009.
% 56.37/56.52  
% 56.37/56.52  set(prolog_style_variables).
% 56.37/56.52  set(auto).
% 56.37/56.52     dependent: set(auto1).
% 56.37/56.52     dependent: set(process_input).
% 56.37/56.52     dependent: clear(print_kept).
% 56.37/56.52     dependent: clear(print_new_demod).
% 56.37/56.52     dependent: clear(print_back_demod).
% 56.37/56.52     dependent: clear(print_back_sub).
% 56.37/56.52     dependent: set(control_memory).
% 56.37/56.52     dependent: assign(max_mem, 12000).
% 56.37/56.52     dependent: assign(pick_given_ratio, 4).
% 56.37/56.52     dependent: assign(stats_level, 1).
% 56.37/56.52     dependent: assign(max_seconds, 10800).
% 56.37/56.52  clear(print_given).
% 56.37/56.52  
% 56.37/56.52  list(usable).
% 56.37/56.52  0 [] A=A.
% 56.37/56.52  0 [] c_lesse_quals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] hAPP(hAPP(V_sup,V_B),hAPP(V_Sup,V_A))=c_Finite__Set_Ofold(V_sup,V_B,V_A,T_a,T_a)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 56.37/56.52  0 [] hAPP(hAPP(V_inf,V_B),hAPP(V_Inf,V_A))=c_Finite__Set_Ofold(V_inf,V_B,V_A,T_a,T_a)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 56.37/56.52  0 [] hAPP(V_Sup,V_A)=c_Finite__Set_Ofold(V_sup,V_bot,V_A,T_a,T_a)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 56.37/56.52  0 [] hAPP(V_Inf,V_A)=c_Finite__Set_Ofold(V_inf,V_top,V_A,T_a,T_a)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 56.37/56.52  0 [] c_Set_Oimage(V_f,V_A,T_a,T_b)!=c_Set_Oimage(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)|V_A=V_B.
% 56.37/56.52  0 [] c_Set_Oimage(V_f,V_A,T_a,T_b)!=c_Set_Oimage(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)|V_A=V_B.
% 56.37/56.52  0 [] c_Set_Oimage(c_COMBK(V_c,T_a,T_b),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)).
% 56.37/56.52  0 [] c_lesse_quals(c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)),tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] -class_Lattices_Oboolean__algebra(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_HOL_Ouminus__class_Ouminus(V_x,T_a))=c_Orderings_Otop__class_Otop(T_a).
% 56.37/56.52  0 [] -class_Lattices_Oboolean__algebra(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_HOL_Ouminus__class_Ouminus(V_x,T_a)),V_x)=c_Orderings_Otop__class_Otop(T_a).
% 56.37/56.52  0 [] c_Finite__Set_Ofinite(V_A,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_b,T_a)| -c_Finite__Set_Ofinite(c_Set_Oimage(V_f,V_A,T_b,T_a),T_a).
% 56.37/56.52  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)=c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),T_a).
% 56.37/56.52  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),c_HOL_Ouminus__class_Ouminus(V_b,T_a)).
% 56.37/56.52  0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_HOL_Ouminus__class_Ouminus(V_x,T_a)),c_HOL_Ouminus__class_Ouminus(V_y,T_a)).
% 56.37/56.52  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)=c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),T_a).
% 56.37/56.52  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),c_HOL_Ouminus__class_Ouminus(V_b,T_a)).
% 56.37/56.52  0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_HOL_Ouminus__class_Ouminus(V_x,T_a)),c_HOL_Ouminus__class_Ouminus(V_y,T_a)).
% 56.37/56.52  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).
% 56.37/56.52  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).
% 56.37/56.52  0 [] -class_Lattices_Oboolean__algebra(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_HOL_Ouminus__class_Ouminus(V_x,T_a))=c_Orderings_Obot__class_Obot(T_a).
% 56.37/56.52  0 [] -class_Lattices_Oboolean__algebra(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_HOL_Ouminus__class_Ouminus(V_x,T_a)),V_x)=c_Orderings_Obot__class_Obot(T_a).
% 56.37/56.52  0 [] c_Finite__Set_Ofinite(V_B,T_b)| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 56.37/56.52  0 [] c_Set_Oimage(c_COMBB(V_f,V_g,T_c,T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Set_Oimage(V_f,c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c,T_a).
% 56.37/56.52  0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a)).
% 56.37/56.52  0 [] hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_b))| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)).
% 56.37/56.52  0 [] c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a)=c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a).
% 56.37/56.52  0 [] c_Finite__Set_Ofold(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a)=V_z.
% 56.37/56.52  0 [] c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)| -c_Finite__Set_Ofinite(V_F,T_a).
% 56.37/56.52  0 [] c_Set_Oimage(c_COMBI(T_a),V_Y,T_a,T_a)=V_Y.
% 56.37/56.52  0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))| -hBOOL(c_in(V_x,V_A,T_a)).
% 56.37/56.52  0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a))| -hBOOL(c_in(V_x,V_A,T_b)).
% 56.37/56.52  0 [] -hBOOL(c_in(V_x,V_A,T_b))|hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)).
% 56.37/56.52  0 [] -hBOOL(c_in(V_x,V_A,T_aa))|hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)).
% 56.37/56.52  0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] -c_lesse_quals(V_x,V_A,tc_fun(T_b,tc_bool))|c_lesse_quals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] c_Set_Oimage(V_f,V_A,T_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 56.37/56.52  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.
% 56.37/56.52  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.
% 56.37/56.52  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 56.37/56.52  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 56.37/56.52  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oimage(V_f,V_A,T_b,T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 56.37/56.52  0 [] c_Set_Oimage(V_f,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)).
% 56.37/56.52  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a).
% 56.37/56.52  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.
% 56.37/56.52  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).
% 56.37/56.52  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).
% 56.37/56.52  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.
% 56.37/56.52  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.
% 56.37/56.52  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a).
% 56.37/56.52  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a).
% 56.37/56.52  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 56.37/56.52  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 56.37/56.52  0 [] c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(V_f,V_g,T_a,T_c,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c)| -c_Finite__Set_Ofinite(c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a).
% 56.37/56.52  0 [] hBOOL(c_in(V_a,V_A,T_a))| -hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 56.37/56.52  0 [] hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))| -hBOOL(c_in(V_a,V_A,T_a))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 56.37/56.52  0 [] c_Set_Oimage(V_f,V_A,T_a,T_a)=V_A| -c_Fun_Oinj__on(V_f,V_A,T_a,T_a)| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_a),V_A,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 56.37/56.52  0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_a)| -c_lesse_quals(V_A,c_Set_Oimage(V_f,V_A,T_a,T_a),tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 56.37/56.52  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),c_Collect(V_Q,T_a)),tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(V_A,V_P,V_Q,T_a)))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),c_Collect(V_Q,T_a)),tc_fun(T_a,tc_bool))|hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(V_A,V_P,V_Q,T_a)))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_B),c_Complete__Lattice_OSup__class_OSup(V_A,T_a))=c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_B,V_A,T_a,T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 56.37/56.52  0 [] c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,V_C,T_a,T_b).
% 56.37/56.52  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 56.37/56.52  0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 56.37/56.52  0 [] c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 56.37/56.52  0 [] c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)).
% 56.37/56.52  0 [] c_Set_Ovimage(V_f,c_Set_Oimage(V_f,V_A,T_a,T_b),T_a,T_b)=V_A| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 56.37/56.52  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_b,V_A,T_a,T_a),T_a)| -hBOOL(c_in(V_a,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),V_a,T_a)| -hBOOL(c_in(V_a,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_b,V_A,T_a,T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a)| -hBOOL(c_in(V_a,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 56.37/56.52  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_B,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_A,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a).
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a).
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a)| -c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 56.37/56.52  0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 56.37/56.52  0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),V_x)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_z),V_x)).
% 56.37/56.52  0 [] -class_HOL_Oord(T_a)|c_lesse_quals(V_y,V_x,T_a)| -hBOOL(c_in(V_y,V_S,T_a))| -c_Lubs_OisLub(V_R,V_S,V_x,T_a).
% 56.37/56.52  0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 56.37/56.52  0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_B,T_a)).
% 56.37/56.52  0 [] c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_a,V_x,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a).
% 56.37/56.52  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a).
% 56.37/56.52  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 56.37/56.52  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)| -c_lesse_quals(V_x,V_b,T_a).
% 56.37/56.52  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a).
% 56.37/56.52  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a).
% 56.37/56.52  0 [] -class_HOL_Oord(T_a)|c_lesse_quals(V_x,V_y,T_a)| -hBOOL(hAPP(c_Lubs_OisUb(V_R,V_S,T_a),V_y))| -c_Lubs_OisLub(V_R,V_S,V_x,T_a).
% 56.37/56.52  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_D),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))| -hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(V_A,V_x)).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 56.37/56.52  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)).
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_xa,T_a)| -hBOOL(c_in(V_xa,V_A,T_a))| -c_lesse_quals(V_x,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 56.37/56.52  0 [] c_lesse_quals(c_Set_Ovimage(V_f,V_B,T_a,T_b),V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b).
% 56.37/56.52  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(V_A,T_a)=c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a),V_A,T_a,T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 56.37/56.52  0 [] -class_Lattices_Oboolean__algebra(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)!=c_Orderings_Otop__class_Otop(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)!=c_Orderings_Obot__class_Obot(T_a)|c_HOL_Ouminus__class_Ouminus(V_x,T_a)=V_y.
% 56.37/56.52  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),c_Collect(V_Q,T_a)),tc_fun(T_a,tc_bool))|hBOOL(c_in(c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(V_A,V_P,V_Q,T_a),V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] c_lesse_quals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] c_lesse_quals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a).
% 56.37/56.52  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a).
% 56.37/56.52  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_D),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] -hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 56.37/56.52  0 [] -hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 56.37/56.52  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 56.37/56.52  0 [] -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 56.37/56.52  0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=V_x.
% 56.37/56.52  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 56.37/56.52  0 [] V_x=V_y| -c_Lubs_OisLub(V_R,V_S,V_y,tc_RealDef_Oreal)| -c_Lubs_OisLub(V_R,V_S,V_x,tc_RealDef_Oreal).
% 56.37/56.52  0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 56.37/56.52  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 56.37/56.52  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)),T_a).
% 56.37/56.52  0 [] -class_RealVector_Otopological__space(T_a)|c_RealVector_Otopological__space__class_Oclosed(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_S),V_T),T_a)| -c_RealVector_Otopological__space__class_Oclosed(V_T,T_a)| -c_RealVector_Otopological__space__class_Oclosed(V_S,T_a).
% 56.37/56.52  0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 56.37/56.52  0 [] c_Set_Ovimage(V_f,c_Collect(V_P,T_b),T_a,T_b)=c_Collect(c_COMBB(V_P,V_f,T_b,tc_bool,T_a),T_a).
% 56.37/56.52  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a))=V_x.
% 56.37/56.52  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)=V_x.
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B)=V_B.
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_A.
% 56.37/56.52  0 [] c_Finite__Set_Ofinite(V_F,T_a)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a).
% 56.37/56.52  0 [] c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a).
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)).
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 56.37/56.52  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)).
% 56.37/56.52  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)).
% 56.37/56.52  0 [] hBOOL(hAPP(V_B,V_x))|hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)).
% 56.37/56.52  0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))| -hBOOL(hAPP(V_B,V_x)).
% 56.37/56.52  0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 56.37/56.52  0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 56.37/56.52  0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 56.37/56.52  0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 56.37/56.52  0 [] -class_HOL_Oord(T_a)|hBOOL(hAPP(c_Lubs_OisUb(V_R,V_S,T_a),V_x))| -hBOOL(c_in(V_x,V_R,T_a))| -c_Lubs_Osetle(V_S,V_x,T_a).
% 56.37/56.52  0 [] -class_HOL_Oord(T_a)|hBOOL(hAPP(c_Lubs_OisUb(V_R,V_S,T_a),V_x))| -hBOOL(c_in(V_x,V_R,T_a))| -c_Lubs_Osetle(V_S,V_x,T_a).
% 56.37/56.52  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a))=c_Orderings_Obot__class_Obot(T_a).
% 56.37/56.52  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)=c_Orderings_Obot__class_Obot(T_a).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 56.37/56.52  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),V_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_z),V_x)).
% 56.37/56.52  0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 56.37/56.52  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_x)=V_x.
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A)=V_A.
% 56.37/56.52  0 [] hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 56.37/56.52  0 [] hAPP(c_COMBI(T_a),V_P)=V_P.
% 56.37/56.52  0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 56.37/56.52  0 [] c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b).
% 56.37/56.52  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 56.37/56.52  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 56.37/56.52  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 56.37/56.52  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)).
% 56.37/56.52  0 [] hBOOL(hAPP(V_open,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_S),V_T)))| -hBOOL(hAPP(V_open,V_T))| -hBOOL(hAPP(V_open,V_S))| -c_RealVector_Otopological__space(V_open,T_a).
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=V_y| -c_lesse_quals(V_y,V_x,T_a).
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)!=V_x|c_lesse_quals(V_x,V_y,T_a).
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=V_x| -c_lesse_quals(V_x,V_y,T_a).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)=V_A| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A).
% 56.37/56.52  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x).
% 56.37/56.52  0 [] -class_RealVector_Otopological__space(T_a)|c_RealVector_Otopological__space__class_Oclosed(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 56.37/56.52  0 [] -class_RealVector_Otopological__space(T_a)|hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_S),V_T)))| -hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(T_a),V_T))| -hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(T_a),V_S)).
% 56.37/56.52  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B)!=c_Orderings_Obot__class_Obot(T_a)|V_B=c_Orderings_Obot__class_Obot(T_a).
% 56.37/56.52  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B)!=c_Orderings_Obot__class_Obot(T_a)|V_A=c_Orderings_Obot__class_Obot(T_a).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_B=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] hBOOL(c_in(hAPP(V_f,V_a),V_A,T_b))| -hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a)).
% 56.37/56.52  0 [] hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b))| -hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a)).
% 56.37/56.52  0 [] hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_b,T_a),T_b))| -hBOOL(c_in(hAPP(V_f,V_a),V_B,T_a)).
% 56.37/56.52  0 [] hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b))| -hBOOL(c_in(hAPP(V_f,V_a),V_A,T_a)).
% 56.37/56.52  0 [] hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a))| -hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b)).
% 56.37/56.52  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_x),hAPP(V_Sup,V_A)))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 56.37/56.52  0 [] hBOOL(hAPP(hAPP(V_less__e_q,hAPP(V_Inf,V_A)),V_x))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 56.37/56.52  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A).
% 56.37/56.52  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x).
% 56.37/56.52  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B).
% 56.37/56.52  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y).
% 56.37/56.52  0 [] -class_HOL_Oord(T_a)|c_Lubs_Osetge(V_x,c_Lubs_Oubs(V_R,V_S,T_a),T_a)| -c_Lubs_OisLub(V_R,V_S,V_x,T_a).
% 56.37/56.52  0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 56.37/56.52  0 [] hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)).
% 56.37/56.52  0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b).
% 56.37/56.52  0 [] c_Fun_Oinj__on(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b).
% 56.37/56.52  0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 56.37/56.52  0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_G,T_a).
% 56.37/56.52  0 [] -class_HOL_Oord(T_b)|c_lesse_quals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)| -c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b)).
% 56.37/56.52  0 [] c_Set_Ovimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_a,T_b)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)).
% 56.37/56.52  0 [] -class_RealVector_Otopological__space(T_a)|c_RealVector_Otopological__space(c_RealVector_Oopen__class_Oopen(T_a),T_a).
% 56.37/56.52  0 [] hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)).
% 56.37/56.52  0 [] hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)).
% 56.37/56.52  0 [] c_Set_Ovimage(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_a,T_b)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)).
% 56.37/56.52  0 [] -class_RealVector_Otopological__space(T_a)|c_RealVector_Otopological__space__class_Oclosed(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_S),V_T),T_a)| -c_RealVector_Otopological__space__class_Oclosed(V_T,T_a)| -c_RealVector_Otopological__space__class_Oclosed(V_S,T_a).
% 56.37/56.52  0 [] c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_a,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a).
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a).
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a).
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a).
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a).
% 56.37/56.52  0 [] c_lesse_quals(c_Set_Ovimage(V_f,V_A,T_b,T_a),c_Set_Ovimage(V_f,V_B,T_b,T_a),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] -class_HOL_Oord(T_a)|hBOOL(c_in(V_x,V_R,T_a))| -c_Lubs_OisLub(V_R,V_S,V_x,T_a).
% 56.37/56.52  0 [] -class_RealVector_Otopological__space(T_a)|hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 56.37/56.52  0 [] -class_HOL_Oord(T_a)|c_Lubs_Osetle(V_S,V_x,T_a)| -c_Lubs_OisLub(V_R,V_S,V_x,T_a).
% 56.37/56.52  0 [] -hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 56.37/56.52  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),T_a).
% 56.37/56.52  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 56.37/56.52  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 56.37/56.52  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] c_lesse_quals(V_B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 56.37/56.52  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 56.37/56.52  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 56.37/56.52  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z),V_x,T_a)| -c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 56.37/56.52  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_z,T_a).
% 56.37/56.52  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -hBOOL(c_in(V_y,V_A,T_a))| -hBOOL(c_in(V_x,V_A,T_a))|V_x=V_y| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 56.37/56.52  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -hBOOL(c_in(V_y,V_A,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y.
% 56.37/56.52  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_xa)| -hBOOL(c_in(V_xa,V_A,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_xa.
% 56.37/56.52  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(c_in(V_y,V_A,T_a))| -hBOOL(c_in(V_x,V_A,T_a)).
% 56.37/56.52  0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)).
% 56.37/56.52  0 [] hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)).
% 56.37/56.52  0 [] hBOOL(c_in(V_x,V_S,T_a))| -hBOOL(hAPP(V_S,V_x)).
% 56.37/56.52  0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(c_in(V_x,V_S,T_a)).
% 56.37/56.52  0 [] c_Finite__Set_Ofinite(c_Set_Ovimage(V_h,V_F,T_b,T_a),T_b)| -c_Fun_Oinj__on(V_h,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 56.37/56.52  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)).
% 56.37/56.52  0 [] -class_Lattices_Olattice(T_b)|hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,T_b)),V_f),V_g),v_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)).
% 56.37/56.52  0 [] -class_Orderings_Obot(T_b)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x)=c_Orderings_Obot__class_Obot(T_b).
% 56.37/56.52  0 [] c_Fun_Oinj__on(c_COMBI(T_a),V_A,T_a,T_a).
% 56.37/56.52  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)!=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))|c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] hBOOL(c_in(V_c,V_B,T_a))|hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)).
% 56.37/56.52  0 [] c_Set_Ovimage(c_COMBI(T_a),V_Y,T_a,T_a)=V_Y.
% 56.37/56.52  0 [] -hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_a))|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y))=V_x.
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=V_B|c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=V_A| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 56.37/56.52  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)!=V_y|c_lesse_quals(V_x,V_y,T_a).
% 56.37/56.52  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=V_x| -c_lesse_quals(V_y,V_x,T_a).
% 56.37/56.52  0 [] hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)=c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a).
% 56.37/56.52  0 [] c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(c_in(V_c,V_A,T_b)).
% 56.37/56.52  0 [] -class_RealVector_Otopological__space(T_a)|hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_S),V_T)))| -hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(T_a),V_T))| -hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(T_a),V_S)).
% 56.37/56.52  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B).
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y).
% 56.37/56.52  0 [] -class_HOL_Oord(T_a)|c_lesse_quals(V_y,V_x,T_a)| -hBOOL(c_in(V_y,V_S,T_a))| -hBOOL(hAPP(c_Lubs_OisUb(V_R,V_S,T_a),V_x)).
% 56.37/56.52  0 [] hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_top| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 56.37/56.52  0 [] hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_bot| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 56.37/56.52  0 [] hBOOL(hAPP(V_open,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_S),V_T)))| -hBOOL(hAPP(V_open,V_T))| -hBOOL(hAPP(V_open,V_S))| -c_RealVector_Otopological__space(V_open,T_a).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A)=V_A.
% 56.37/56.52  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x)=V_x.
% 56.37/56.52  0 [] -class_Lattices_Olattice(T_b)|hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,T_b)),V_f),V_g),v_x)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)).
% 56.37/56.52  0 [] hBOOL(hAPP(V_Q,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 56.37/56.52  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 56.37/56.52  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 56.37/56.52  0 [] hBOOL(hAPP(V_Q,V_x))| -hBOOL(hAPP(V_P,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,V_B,T_a,T_b).
% 56.37/56.52  0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] hBOOL(c_in(V_t,V_B,T_a))| -hBOOL(c_in(V_t,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] hBOOL(c_in(V_x,V_B,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a)).
% 56.37/56.52  0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a).
% 56.37/56.52  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 56.37/56.52  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 56.37/56.52  0 [] -class_HOL_Oord(T_a)|c_lesse_quals(V_xa,V_x,T_a)| -hBOOL(c_in(V_xa,V_S,T_a))| -c_Lubs_Osetle(V_S,V_x,T_a).
% 56.37/56.52  0 [] -class_HOL_Oord(T_a)|c_lesse_quals(V_y,V_x,T_a)| -hBOOL(c_in(V_y,V_S,T_a))| -c_Lubs_Osetle(V_S,V_x,T_a).
% 56.37/56.52  0 [] -class_HOL_Oord(T_a)|c_lesse_quals(V_x,V_xa,T_a)| -hBOOL(c_in(V_xa,V_S,T_a))| -c_Lubs_Osetge(V_x,V_S,T_a).
% 56.37/56.52  0 [] -class_HOL_Oord(T_a)|c_lesse_quals(V_x,V_y,T_a)| -hBOOL(c_in(V_y,V_S,T_a))| -c_Lubs_Osetge(V_x,V_S,T_a).
% 56.37/56.52  0 [] hBOOL(hAPP(V_open,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))| -c_RealVector_Otopological__space(V_open,T_a).
% 56.37/56.52  0 [] hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,V_A,T_a)).
% 56.37/56.52  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))).
% 56.37/56.52  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)).
% 56.37/56.52  0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 56.37/56.52  0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 56.37/56.52  0 [] c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_c,V_A,T_b)).
% 56.37/56.52  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)| -hBOOL(c_in(V_x,V_A,T_a)).
% 56.37/56.52  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 56.37/56.52  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Collect(V_P,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 56.37/56.52  0 [] hBOOL(hAPP(v_P,v_sko__local__Xex__1(v_P))).
% 56.37/56.52  0 [] c_Collect(V_P,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 56.37/56.52  0 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)).
% 56.37/56.52  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A),V_B)!=c_Orderings_Otop__class_Otop(T_a)|V_B=c_Orderings_Otop__class_Otop(T_a).
% 56.37/56.52  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A),V_B)!=c_Orderings_Otop__class_Otop(T_a)|V_A=c_Orderings_Otop__class_Otop(T_a).
% 56.37/56.52  0 [] hBOOL(hAPP(v_P,v_x____)).
% 56.37/56.52  0 [] hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)).
% 56.37/56.52  0 [] -class_RealVector_Otopological__space(T_a)|hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))).
% 56.37/56.52  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))=c_Orderings_Otop__class_Otop(T_a).
% 56.37/56.52  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x)=c_Orderings_Otop__class_Otop(T_a).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))),V_B)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 56.37/56.52  0 [] -class_HOL_Oord(T_a)|hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_S,T_a),V_u))|hBOOL(c_in(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(V_S,V_u,T_a),V_S,T_a)).
% 56.37/56.52  0 [] c_Collect(V_P,T_a)=V_P.
% 56.37/56.52  0 [] -class_HOL_Oord(T_a)|c_Lubs_Oubs(V_R,V_S,T_a)=c_Collect(c_Lubs_OisUb(V_R,V_S,T_a),T_a).
% 56.37/56.52  0 [] c_Finite__Set_Ofinite(c_Collect(c_COMBB(c_Not,V_P,tc_bool,tc_bool,T_a),T_a),T_a)| -c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_Collect(V_P,T_a),T_a).
% 56.37/56.52  0 [] c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_Collect(c_COMBB(c_Not,V_P,tc_bool,tc_bool,T_a),T_a),T_a)| -c_Finite__Set_Ofinite(c_Collect(V_P,T_a),T_a).
% 56.37/56.52  0 [] c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))=c_Collect(c_COMBK(c_True,tc_bool,T_a),T_a).
% 56.37/56.52  0 [] c_Collect(V_P,T_a)=c_Collect(V_Q,T_a)|hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(V_P,V_Q,T_a)))|hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(V_P,V_Q,T_a))).
% 56.37/56.52  0 [] c_Collect(V_P,T_a)=c_Collect(V_Q,T_a)| -hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(V_P,V_Q,T_a)))| -hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(V_P,V_Q,T_a))).
% 56.37/56.52  0 [] hBOOL(hAPP(V_open,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))))| -c_RealVector_Otopological__space(V_open,T_a).
% 56.37/56.52  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)=c_Orderings_Otop__class_Otop(T_a).
% 56.37/56.53  0 [] -class_HOL_Oord(T_a)|hBOOL(hAPP(c_Lubs_OisUb(V_R,V_S,T_a),V_x))| -c_Lubs_OisLub(V_R,V_S,V_x,T_a).
% 56.37/56.53  0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a).
% 56.37/56.53  0 [] hBOOL(c_in(v_sko__local__Xthx__1(v_P),c_Collect(v_P,tc_RealDef_Oreal),tc_RealDef_Oreal)).
% 56.37/56.53  0 [] -class_Orderings_Otop(T_a)|c_lesse_quals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a).
% 56.37/56.53  0 [] c_lesse_quals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 56.37/56.53  0 [] -class_Orderings_Otop(T_b)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,T_b)),v_x)=c_Orderings_Otop__class_Otop(T_b).
% 56.37/56.53  0 [] -class_HOL_Oord(T_a)|c_Lubs_OisLub(V_R,V_S,V_x,T_a)| -c_Lubs_Osetge(V_x,c_Collect(c_Lubs_OisUb(V_R,V_S,T_a),T_a),T_a)| -hBOOL(hAPP(c_Lubs_OisUb(V_R,V_S,T_a),V_x)).
% 56.37/56.53  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))=V_x.
% 56.37/56.53  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x)=V_x.
% 56.37/56.53  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))),V_B)=V_B.
% 56.37/56.53  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))=V_A.
% 56.37/56.53  0 [] c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 56.37/56.53  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.
% 56.37/56.53  0 [] -class_RealVector_Otopological__space(T_a)|c_RealVector_Otopological__space__class_Oclosed(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a).
% 56.37/56.53  0 [] -class_HOL_Oord(T_a)|hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_S,T_a),V_u))| -c_lesse_quals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(V_S,V_u,T_a),V_u,T_a).
% 56.37/56.53  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)).
% 56.37/56.53  0 [] hAPP(V_Sup,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))=V_top| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 56.37/56.53  0 [] hAPP(V_Inf,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))=V_bot| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 56.37/56.53  0 [] -class_HOL_Oord(T_a)|c_Lubs_Osetle(V_S,V_x,T_a)| -hBOOL(hAPP(c_Lubs_OisUb(V_R,V_S,T_a),V_x)).
% 56.37/56.53  0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)).
% 56.37/56.53  0 [] hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))| -hBOOL(hAPP(V_P,V_a)).
% 56.37/56.53  0 [] -class_HOL_Oord(T_a)|hBOOL(c_in(V_x,V_R,T_a))| -hBOOL(hAPP(c_Lubs_OisUb(V_R,V_S,T_a),V_x)).
% 56.37/56.53  0 [] hBOOL(hAPP(v_P,v_sko__local__Xassms__1__1(v_P))).
% 56.37/56.53  0 [] c_Lubs_OisLub(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),V_S,c_Deriv_Osko__Deriv__Xlemma__reals__complete__1__1(V_S),tc_RealDef_Oreal)| -hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),V_S,tc_RealDef_Oreal),V_xa))| -hBOOL(c_in(V_x,V_S,tc_RealDef_Oreal)).
% 56.37/56.53  0 [] hAPP(c_COMBI(t_a),v_P)=v_P.
% 56.37/56.53  0 [] c_Lubs_OisLub(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),V_S,c_RComplete_Osko__RComplete__Xreals__complete__1__1(V_S),tc_RealDef_Oreal)| -hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),V_S,tc_RealDef_Oreal),V_xa))| -hBOOL(c_in(V_x,V_S,tc_RealDef_Oreal)).
% 56.37/56.53  0 [] c_HOL_Oord__class_Oless(V_z,v_sko__CHAINED__1(v_P),tc_RealDef_Oreal)| -hBOOL(hAPP(v_P,V_z)).
% 56.37/56.53  0 [] -hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),c_Collect(v_P,tc_RealDef_Oreal),tc_RealDef_Oreal),V_x)).
% 56.37/56.53  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 56.37/56.53  0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 56.37/56.53  0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 56.37/56.53  0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 56.37/56.53  0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 56.37/56.53  0 [] class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))| -class_Lattices_Oboolean__algebra(T_1).
% 56.37/56.53  0 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))| -class_Finite__Set_Ofinite_Ofinite(T_1)| -class_Finite__Set_Ofinite_Ofinite(T_2).
% 56.37/56.53  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 56.37/56.53  0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 56.37/56.53  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 56.37/56.53  0 [] class_Orderings_Otop(tc_fun(T_2,T_1))| -class_Orderings_Otop(T_1).
% 56.37/56.53  0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 56.37/56.53  0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 56.37/56.53  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 56.37/56.53  0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 56.37/56.53  0 [] class_Lattices_Olower__semilattice(tc_bool).
% 56.37/56.53  0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 56.37/56.53  0 [] class_Lattices_Obounded__lattice(tc_bool).
% 56.37/56.53  0 [] class_Lattices_Oboolean__algebra(tc_bool).
% 56.37/56.53  0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 56.37/56.53  0 [] class_Orderings_Opreorder(tc_bool).
% 56.37/56.53  0 [] class_Lattices_Olattice(tc_bool).
% 56.37/56.53  0 [] class_Orderings_Oorder(tc_bool).
% 56.37/56.53  0 [] class_Orderings_Otop(tc_bool).
% 56.37/56.53  0 [] class_Orderings_Obot(tc_bool).
% 56.37/56.53  0 [] class_HOL_Oord(tc_bool).
% 56.37/56.53  0 [] class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal).
% 56.37/56.53  0 [] class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal).
% 56.37/56.53  0 [] class_RealVector_Otopological__space(tc_RealDef_Oreal).
% 56.37/56.53  0 [] class_Lattices_Oupper__semilattice(tc_RealDef_Oreal).
% 56.37/56.53  0 [] class_Lattices_Olower__semilattice(tc_RealDef_Oreal).
% 56.37/56.53  0 [] class_Lattices_Odistrib__lattice(tc_RealDef_Oreal).
% 56.37/56.53  0 [] class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal).
% 56.37/56.53  0 [] class_Orderings_Opreorder(tc_RealDef_Oreal).
% 56.37/56.53  0 [] class_Orderings_Olinorder(tc_RealDef_Oreal).
% 56.37/56.53  0 [] class_Lattices_Olattice(tc_RealDef_Oreal).
% 56.37/56.53  0 [] class_Orderings_Oorder(tc_RealDef_Oreal).
% 56.37/56.53  0 [] class_HOL_Oord(tc_RealDef_Oreal).
% 56.37/56.53  0 [] c_fe_qual(V_x,V_x,T_a).
% 56.37/56.53  0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 56.37/56.53  end_of_list.
% 56.37/56.53  
% 56.37/56.53  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 56.37/56.53  
% 56.37/56.53  This ia a non-Horn set with equality.  The strategy will be
% 56.37/56.53  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 56.37/56.53  deletion, with positive clauses in sos and nonpositive
% 56.37/56.53  clauses in usable.
% 56.37/56.53  
% 56.37/56.53     dependent: set(knuth_bendix).
% 56.37/56.53     dependent: set(anl_eq).
% 56.37/56.53     dependent: set(para_from).
% 56.37/56.53     dependent: set(para_into).
% 56.37/56.53     dependent: clear(para_from_right).
% 56.37/56.53     dependent: clear(para_into_right).
% 56.37/56.53     dependent: set(para_from_vars).
% 56.37/56.53     dependent: set(eq_units_both_ways).
% 56.37/56.53     dependent: set(dynamic_demod_all).
% 56.37/56.53     dependent: set(dynamic_demod).
% 56.37/56.53     dependent: set(order_eq).
% 56.37/56.53     dependent: set(back_demod).
% 56.37/56.53     dependent: set(lrpo).
% 56.37/56.53     dependent: set(hyper_res).
% 56.37/56.53     dependent: set(unit_deletion).
% 56.37/56.53     dependent: set(factor).
% 56.37/56.53  
% 56.37/56.53  ------------> process usable:
% 56.37/56.53  ** KEPT (pick-wt=27): 1 [] hAPP(hAPP(A,B),hAPP(C,D))=c_Finite__Set_Ofold(A,B,D,E,E)| -c_Finite__Set_Ofinite(D,E)| -c_Complete__Lattice_Ocomplete__lattice(F,C,G,H,I,A,J,K,E).
% 56.37/56.53  ** KEPT (pick-wt=27): 2 [] hAPP(hAPP(A,B),hAPP(C,D))=c_Finite__Set_Ofold(A,B,D,E,E)| -c_Finite__Set_Ofinite(D,E)| -c_Complete__Lattice_Ocomplete__lattice(C,F,G,H,A,I,J,K,E).
% 56.37/56.53  ** KEPT (pick-wt=23): 3 [] hAPP(A,B)=c_Finite__Set_Ofold(C,D,B,E,E)| -c_Finite__Set_Ofinite(B,E)| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,C,D,J,E).
% 56.37/56.53  ** KEPT (pick-wt=23): 4 [] hAPP(A,B)=c_Finite__Set_Ofold(C,D,B,E,E)| -c_Finite__Set_Ofinite(B,E)| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,C,I,J,D,E).
% 56.37/56.53  ** KEPT (pick-wt=22): 5 [] c_Set_Oimage(A,B,C,D)!=c_Set_Oimage(A,E,C,D)| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D)|B=E.
% 56.37/56.53  ** KEPT (pick-wt=26): 6 [] c_Set_Oimage(A,B,C,D)!=c_Set_Oimage(A,E,C,D)| -c_Fun_Oinj__on(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),B),E),C,D)|B=E.
% 56.37/56.53  ** KEPT (pick-wt=13): 7 [] -class_Lattices_Oboolean__algebra(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_HOL_Ouminus__class_Ouminus(B,A))=c_Orderings_Otop__class_Otop(A).
% 56.37/56.53  ** KEPT (pick-wt=13): 8 [] -class_Lattices_Oboolean__algebra(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),c_HOL_Ouminus__class_Ouminus(B,A)),B)=c_Orderings_Otop__class_Otop(A).
% 56.37/56.53  ** KEPT (pick-wt=15): 9 [] c_Finite__Set_Ofinite(A,B)| -c_Fun_Oinj__on(C,A,B,D)| -c_Finite__Set_Ofinite(c_Set_Oimage(C,A,B,D),D).
% 56.37/56.53  ** KEPT (pick-wt=21): 10 [] -class_OrderedGroup_Olordered__ab__group__add(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_HOL_Ouminus__class_Ouminus(B,A)),c_HOL_Ouminus__class_Ouminus(C,A)),A).
% 56.37/56.53  ** KEPT (pick-wt=21): 11 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),A)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_HOL_Ouminus__class_Ouminus(B,A)),c_HOL_Ouminus__class_Ouminus(C,A)).
% 56.37/56.53  ** KEPT (pick-wt=21): 12 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),A)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_HOL_Ouminus__class_Ouminus(B,A)),c_HOL_Ouminus__class_Ouminus(C,A)).
% 56.37/56.53  ** KEPT (pick-wt=21): 14 [copy,13,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),c_HOL_Ouminus__class_Ouminus(B,A)),c_HOL_Ouminus__class_Ouminus(C,A)),A)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C).
% 56.37/56.53  ** KEPT (pick-wt=21): 16 [copy,15,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),c_HOL_Ouminus__class_Ouminus(B,A)),c_HOL_Ouminus__class_Ouminus(C,A))=c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),A).
% 56.37/56.53  ** KEPT (pick-wt=21): 18 [copy,17,flip.2] -class_Lattices_Oboolean__algebra(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),c_HOL_Ouminus__class_Ouminus(B,A)),c_HOL_Ouminus__class_Ouminus(C,A))=c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),A).
% 56.37/56.53  ** KEPT (pick-wt=9): 19 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(A),A)=c_Orderings_Obot__class_Obot(A).
% 56.37/56.53  ** KEPT (pick-wt=9): 21 [copy,20,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).
% 56.37/56.53  ** KEPT (pick-wt=13): 22 [] -class_Lattices_Oboolean__algebra(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),c_HOL_Ouminus__class_Ouminus(B,A))=c_Orderings_Obot__class_Obot(A).
% 56.37/56.53  ** KEPT (pick-wt=13): 23 [] -class_Lattices_Oboolean__algebra(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_HOL_Ouminus__class_Ouminus(B,A)),B)=c_Orderings_Obot__class_Obot(A).
% 56.37/56.53  ** KEPT (pick-wt=16): 24 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,c_Set_Oimage(C,D,E,B),tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(D,E).
% 56.37/56.53  ** KEPT (pick-wt=22): 25 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,E,F))| -c_lesse_quals(c_Set_Oimage(A,E,F,D),C,tc_fun(D,tc_bool)).
% 56.37/56.53  ** KEPT (pick-wt=10): 26 [] c_Finite__Set_Ofinite(c_Set_Oimage(A,B,C,D),D)| -c_Finite__Set_Ofinite(B,C).
% 56.37/56.53  ** KEPT (pick-wt=16): 27 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 56.37/56.53    Following clause subsumed by 27 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 56.37/56.53    Following clause subsumed by 27 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 56.37/56.53    Following clause subsumed by 27 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 56.37/56.53  ** KEPT (pick-wt=20): 28 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool)).
% 56.37/56.53    Following clause subsumed by 28 during input processing: 0 [] -c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_lesse_quals(c_Set_Oimage(D,A,C,E),c_Set_Oimage(D,B,C,E),tc_fun(E,tc_bool)).
% 56.37/56.53  ** KEPT (pick-wt=16): 29 [] c_Set_Oimage(A,B,C,D)!=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 56.37/56.53  ** KEPT (pick-wt=12): 30 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 56.37/56.53  ** KEPT (pick-wt=12): 31 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 56.37/56.53  ** KEPT (pick-wt=14): 32 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(C,A),c_HOL_Ouminus__class_Ouminus(B,A),A).
% 56.37/56.53  ** KEPT (pick-wt=14): 33 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(C,B,A).
% 56.37/56.53  ** KEPT (pick-wt=16): 34 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oimage(B,C,D,A)|C=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 56.37/56.53  ** KEPT (pick-wt=9): 35 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 56.37/56.53    Following clause subsumed by 35 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.
% 56.37/56.53    Following clause subsumed by 35 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.
% 56.37/56.53  ** KEPT (pick-wt=9): 36 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 56.37/56.53    Following clause subsumed by 35 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 56.37/56.53  ** KEPT (pick-wt=14): 37 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 56.37/56.53    Following clause subsumed by 37 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 56.37/56.53  ** KEPT (pick-wt=14): 38 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 56.37/56.53    Following clause subsumed by 38 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 56.37/56.53  ** KEPT (pick-wt=25): 39 [] c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(A,B,C,D,E),c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,D),D)| -c_Finite__Set_Ofinite(c_Set_Oimage(B,c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,C),C).
% 56.37/56.53  ** KEPT (pick-wt=24): 40 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E))| -c_Fun_Oinj__on(D,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,E).
% 56.37/56.53    Following clause subsumed by 27 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,E).
% 56.37/56.53  ** KEPT (pick-wt=25): 41 [] c_Set_Oimage(A,B,C,C)=B| -c_Fun_Oinj__on(A,B,C,C)| -c_lesse_quals(c_Set_Oimage(A,B,C,C),B,tc_fun(C,tc_bool))| -c_Finite__Set_Ofinite(B,C).
% 56.37/56.53  ** KEPT (pick-wt=18): 42 [] c_Fun_Oinj__on(A,B,C,C)| -c_lesse_quals(B,c_Set_Oimage(A,B,C,C),tc_fun(C,tc_bool))| -c_Finite__Set_Ofinite(B,C).
% 56.37/56.53  ** KEPT (pick-wt=38): 43 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Collect(C,A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),c_Collect(E,A)),tc_fun(A,tc_bool))| -hBOOL(hAPP(E,c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(B,C,E,A)))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 56.37/56.53  ** KEPT (pick-wt=38): 44 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Collect(C,A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),c_Collect(E,A)),tc_fun(A,tc_bool))|hBOOL(hAPP(C,c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(B,C,E,A)))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 56.37/56.53  ** KEPT (pick-wt=21): 45 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Complete__Lattice_OSup__class_OSup(C,A))=c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(A),B,C,A,A)| -c_Finite__Set_Ofinite(C,A).
% 56.37/56.53  ** KEPT (pick-wt=46): 46 [] c_Set_Oimage(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B,E)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(E,tc_bool)),c_Set_Oimage(A,C,B,E)),c_Set_Oimage(A,D,B,E))| -c_lesse_quals(D,F,tc_fun(B,tc_bool))| -c_lesse_quals(C,F,tc_fun(B,tc_bool))| -c_Fun_Oinj__on(A,F,B,E).
% 56.37/56.53  ** KEPT (pick-wt=28): 47 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Set_Oimage(D,A,C,E),c_Set_Oimage(D,B,C,E),tc_fun(E,tc_bool))| -c_Fun_Oinj__on(D,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,E).
% 56.37/56.53    Following clause subsumed by 28 during input processing: 0 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D).
% 56.37/56.53  ** KEPT (pick-wt=37): 48 [] c_Set_Oimage(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B,E)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(E,tc_bool)),c_Set_Oimage(A,C,B,E)),c_Set_Oimage(A,D,B,E))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B,E).
% 56.37/56.53  ** KEPT (pick-wt=19): 49 [] c_Set_Ovimage(A,c_Set_Oimage(A,B,C,D),C,D)=B| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D).
% 56.37/56.53  ** KEPT (pick-wt=25): 50 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(A),C,D,A,A),A)| -hBOOL(c_in(B,D,A))| -c_Finite__Set_Ofinite(D,A).
% 56.37/56.53  ** KEPT (pick-wt=18): 51 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(A),B,A),C,A)| -hBOOL(c_in(C,B,A))| -c_Finite__Set_Ofinite(B,A).
% 56.37/56.53  ** KEPT (pick-wt=25): 52 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(A),B,C,A,A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),B),A)| -hBOOL(c_in(D,C,A))| -c_Finite__Set_Ofinite(C,A).
% 56.37/56.53  ** KEPT (pick-wt=11): 53 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),B,A).
% 56.37/56.53  ** KEPT (pick-wt=11): 54 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),C,A).
% 56.37/56.53  ** KEPT (pick-wt=19): 55 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 56.37/56.53    Following clause subsumed by 55 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 56.37/56.53    Following clause subsumed by 55 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 56.37/56.53  ** KEPT (pick-wt=30): 57 [copy,56,flip.2] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 56.37/56.53  ** KEPT (pick-wt=30): 58 [] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 56.37/56.53  ** KEPT (pick-wt=16): 59 [] -class_HOL_Oord(A)|c_lesse_quals(B,C,A)| -hBOOL(c_in(B,D,A))| -c_Lubs_OisLub(E,D,C,A).
% 56.37/56.53  ** KEPT (pick-wt=17): 60 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,C,B)).
% 56.37/56.53  ** KEPT (pick-wt=17): 61 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,D,B)).
% 56.37/56.53  ** KEPT (pick-wt=19): 62 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),A),B,tc_fun(C,tc_bool)).
% 56.37/56.53  ** KEPT (pick-wt=19): 63 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),A),D),B,tc_fun(C,tc_bool)).
% 56.37/56.53  ** KEPT (pick-wt=15): 64 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A).
% 56.37/56.53  ** KEPT (pick-wt=15): 65 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A).
% 56.37/56.53  ** KEPT (pick-wt=15): 66 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A)| -c_lesse_quals(B,C,A).
% 56.37/56.53  ** KEPT (pick-wt=15): 67 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A)| -c_lesse_quals(B,D,A).
% 56.37/56.53    Following clause subsumed by 64 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A).
% 56.37/56.53    Following clause subsumed by 65 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A).
% 56.37/56.53  ** KEPT (pick-wt=18): 68 [] -class_HOL_Oord(A)|c_lesse_quals(B,C,A)| -hBOOL(hAPP(c_Lubs_OisUb(D,E,A),C))| -c_Lubs_OisLub(D,E,B,A).
% 56.37/56.53  ** KEPT (pick-wt=32): 69 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),E),tc_fun(A,tc_bool))| -c_lesse_quals(C,E,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 56.37/56.53  ** KEPT (pick-wt=19): 70 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(C,D))| -hBOOL(hAPP(B,D)).
% 56.37/56.53  ** KEPT (pick-wt=28): 71 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -hBOOL(c_in(C,D,A))| -c_lesse_quals(B,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(A),D,A),A)|D=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(D,A).
% 56.37/56.53  ** KEPT (pick-wt=28): 72 [] c_lesse_quals(c_Set_Ovimage(A,B,C,D),E,tc_fun(C,tc_bool))| -c_lesse_quals(B,c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D).
% 56.37/56.53  ** KEPT (pick-wt=17): 73 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(B,A)=c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(A),c_Orderings_Obot__class_Obot(A),B,A,A)| -c_Finite__Set_Ofinite(B,A).
% 56.37/56.53  ** KEPT (pick-wt=25): 74 [] -class_Lattices_Oboolean__algebra(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=c_Orderings_Otop__class_Otop(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)!=c_Orderings_Obot__class_Obot(A)|c_HOL_Ouminus__class_Ouminus(B,A)=C.
% 56.37/56.53  ** KEPT (pick-wt=39): 75 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Collect(C,A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),c_Collect(E,A)),tc_fun(A,tc_bool))|hBOOL(c_in(c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(B,C,E,A),B,A))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 56.37/56.53  ** KEPT (pick-wt=25): 76 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 56.37/56.53    Following clause subsumed by 76 during input processing: 0 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 56.37/56.53  ** KEPT (pick-wt=11): 77 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),C,A).
% 56.37/56.53  ** KEPT (pick-wt=11): 78 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),B,A).
% 56.37/56.53  ** KEPT (pick-wt=32): 79 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),E),tc_fun(A,tc_bool))| -c_lesse_quals(C,E,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 56.37/56.53  ** KEPT (pick-wt=8): 80 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 56.37/56.53    Following clause subsumed by 80 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 56.37/56.53    Following clause subsumed by 80 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 56.37/56.53    Following clause subsumed by 80 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 56.37/56.53  ** KEPT (pick-wt=15): 81 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 56.37/56.53  ** KEPT (pick-wt=15): 82 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=B.
% 56.37/56.53  ** KEPT (pick-wt=13): 83 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 56.37/56.53  ** KEPT (pick-wt=13): 84 [] A=B| -c_Lubs_OisLub(C,D,B,tc_RealDef_Oreal)| -c_Lubs_OisLub(C,D,A,tc_RealDef_Oreal).
% 56.37/56.53  ** KEPT (pick-wt=15): 85 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 56.37/56.53    Following clause subsumed by 85 during input processing: 0 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 56.37/56.53    Following clause subsumed by 83 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 56.37/56.53    Following clause subsumed by 83 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 56.37/56.53  ** KEPT (pick-wt=31): 86 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)),A).
% 56.37/56.53  ** KEPT (pick-wt=18): 87 [] -class_RealVector_Otopological__space(A)|c_RealVector_Otopological__space__class_Oclosed(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),A)| -c_RealVector_Otopological__space__class_Oclosed(C,A)| -c_RealVector_Otopological__space__class_Oclosed(B,A).
% 56.37/56.53  ** KEPT (pick-wt=7): 88 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 56.37/56.53  ** KEPT (pick-wt=11): 89 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Orderings_Obot__class_Obot(A))=B.
% 56.37/56.53  ** KEPT (pick-wt=11): 90 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),c_Orderings_Obot__class_Obot(A)),B)=B.
% 56.37/56.53  ** KEPT (pick-wt=13): 91 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),A),C),B).
% 56.37/56.53  ** KEPT (pick-wt=13): 92 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),A),B).
% 56.37/56.53  ** KEPT (pick-wt=25): 93 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)).
% 56.37/56.53  ** KEPT (pick-wt=25): 94 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 56.37/56.53  ** KEPT (pick-wt=25): 95 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)).
% 56.37/56.53  ** KEPT (pick-wt=25): 96 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 56.37/56.53  ** KEPT (pick-wt=19): 97 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),C),A),B)).
% 56.37/56.53  ** KEPT (pick-wt=15): 98 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(C,D)).
% 56.37/56.53  ** KEPT (pick-wt=15): 99 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(B,D)).
% 56.37/56.53  ** KEPT (pick-wt=16): 100 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A)| -c_Finite__Set_Ofinite(B,A).
% 56.37/56.53    Following clause subsumed by 100 during input processing: 0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A)| -c_Finite__Set_Ofinite(B,A).
% 56.37/56.53  ** KEPT (pick-wt=18): 101 [] -class_HOL_Oord(A)|hBOOL(hAPP(c_Lubs_OisUb(B,C,A),D))| -hBOOL(c_in(D,B,A))| -c_Lubs_Osetle(C,D,A).
% 56.37/56.53    Following clause subsumed by 101 during input processing: 0 [] -class_HOL_Oord(A)|hBOOL(hAPP(c_Lubs_OisUb(B,C,A),D))| -hBOOL(c_in(D,B,A))| -c_Lubs_Osetle(C,D,A).
% 56.37/56.53  ** KEPT (pick-wt=12): 102 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),c_Orderings_Obot__class_Obot(A))=c_Orderings_Obot__class_Obot(A).
% 56.37/56.53  ** KEPT (pick-wt=12): 103 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_Orderings_Obot__class_Obot(A)),B)=c_Orderings_Obot__class_Obot(A).
% 56.37/56.53  ** KEPT (pick-wt=7): 104 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 56.37/56.53  ** KEPT (pick-wt=30): 105 [] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 56.37/56.53  ** KEPT (pick-wt=30): 107 [copy,106,flip.2] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 56.37/56.53  ** KEPT (pick-wt=10): 108 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),B)=B.
% 56.37/56.53  ** KEPT (pick-wt=25): 109 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)).
% 56.37/56.53  ** KEPT (pick-wt=25): 110 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 56.37/56.53  ** KEPT (pick-wt=25): 111 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)).
% 56.37/56.53  ** KEPT (pick-wt=25): 112 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 56.37/56.53  ** KEPT (pick-wt=22): 113 [] hBOOL(hAPP(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D)))| -hBOOL(hAPP(A,D))| -hBOOL(hAPP(A,C))| -c_RealVector_Otopological__space(A,B).
% 56.37/56.53  ** KEPT (pick-wt=14): 114 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=C| -c_lesse_quals(C,B,A).
% 56.37/56.53  ** KEPT (pick-wt=14): 115 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)!=B|c_lesse_quals(B,C,A).
% 56.37/56.53  ** KEPT (pick-wt=14): 116 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=B| -c_lesse_quals(B,C,A).
% 56.37/56.53  ** KEPT (pick-wt=16): 117 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=C| -c_lesse_quals(C,B,tc_fun(A,tc_bool)).
% 56.37/56.53  ** KEPT (pick-wt=16): 118 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=B| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 56.37/56.53  ** KEPT (pick-wt=15): 119 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),B).
% 56.37/56.53  ** KEPT (pick-wt=15): 120 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),B).
% 56.37/56.53  ** KEPT (pick-wt=8): 121 [] -class_RealVector_Otopological__space(A)|c_RealVector_Otopological__space__class_Oclosed(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 56.37/56.53  ** KEPT (pick-wt=24): 122 [] -class_RealVector_Otopological__space(A)|hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)))| -hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(A),C))| -hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(A),B)).
% 56.37/56.53  ** KEPT (pick-wt=15): 123 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=c_Orderings_Obot__class_Obot(A)|C=c_Orderings_Obot__class_Obot(A).
% 56.37/56.53  ** KEPT (pick-wt=15): 124 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=c_Orderings_Obot__class_Obot(A)|B=c_Orderings_Obot__class_Obot(A).
% 56.37/56.53  ** KEPT (pick-wt=19): 125 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 56.37/56.53  ** KEPT (pick-wt=19): 126 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 56.37/56.53  ** KEPT (pick-wt=16): 127 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,c_Set_Ovimage(A,C,E,D),E)).
% 56.37/56.53    Following clause subsumed by 127 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,c_Set_Ovimage(A,C,E,D),E)).
% 56.37/56.53  ** KEPT (pick-wt=16): 128 [] hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 56.37/56.53    Following clause subsumed by 128 during input processing: 0 [] hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 56.37/56.53    Following clause subsumed by 128 during input processing: 0 [] hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 56.37/56.53  ** KEPT (pick-wt=23): 129 [] hBOOL(hAPP(hAPP(A,B),hAPP(C,D)))| -hBOOL(c_in(B,D,E))| -c_Complete__Lattice_Ocomplete__lattice(F,C,A,G,H,I,J,K,E).
% 56.37/56.53  ** KEPT (pick-wt=23): 130 [] hBOOL(hAPP(hAPP(A,hAPP(B,C)),D))| -hBOOL(c_in(D,C,E))| -c_Complete__Lattice_Ocomplete__lattice(B,F,A,G,H,I,J,K,E).
% 56.37/56.54  ** KEPT (pick-wt=15): 131 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B).
% 56.37/56.54  ** KEPT (pick-wt=15): 132 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B).
% 56.37/56.54  ** KEPT (pick-wt=20): 133 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 56.37/56.54  ** KEPT (pick-wt=20): 134 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 56.37/56.54  ** KEPT (pick-wt=14): 135 [] -class_HOL_Oord(A)|c_Lubs_Osetge(B,c_Lubs_Oubs(C,D,A),A)| -c_Lubs_OisLub(C,D,B,A).
% 56.37/56.54  ** KEPT (pick-wt=5): 136 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 56.37/56.54  ** KEPT (pick-wt=19): 137 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),B),c_Collect(D,C)),C)).
% 56.37/56.54  ** KEPT (pick-wt=17): 138 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),B),E),C,D).
% 56.37/56.54  ** KEPT (pick-wt=17): 139 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),E),B),C,D).
% 56.37/56.54  ** KEPT (pick-wt=13): 140 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(B,A).
% 56.37/56.54  ** KEPT (pick-wt=13): 141 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A).
% 56.37/56.54  ** KEPT (pick-wt=16): 142 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 56.37/56.54  ** KEPT (pick-wt=6): 143 [] -class_RealVector_Otopological__space(A)|c_RealVector_Otopological__space(c_RealVector_Oopen__class_Oopen(A),A).
% 56.37/56.54  ** KEPT (pick-wt=15): 144 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),A),B)).
% 56.37/56.54  ** KEPT (pick-wt=15): 145 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),A),D),B)).
% 56.37/56.54  ** KEPT (pick-wt=18): 146 [] -class_RealVector_Otopological__space(A)|c_RealVector_Otopological__space__class_Oclosed(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)| -c_RealVector_Otopological__space__class_Oclosed(C,A)| -c_RealVector_Otopological__space__class_Oclosed(B,A).
% 56.37/56.54  ** KEPT (pick-wt=19): 147 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),B),tc_fun(C,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=19): 148 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),B),D),tc_fun(C,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=15): 149 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A).
% 56.37/56.54  ** KEPT (pick-wt=15): 150 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C),A).
% 56.37/56.54  ** KEPT (pick-wt=15): 151 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A)| -c_lesse_quals(B,D,A).
% 56.37/56.54  ** KEPT (pick-wt=15): 152 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A)| -c_lesse_quals(C,D,A).
% 56.37/56.54    Following clause subsumed by 149 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A).
% 56.37/56.54    Following clause subsumed by 150 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C),A).
% 56.37/56.54  ** KEPT (pick-wt=20): 153 [] c_lesse_quals(c_Set_Ovimage(A,B,C,D),c_Set_Ovimage(A,E,C,D),tc_fun(C,tc_bool))| -c_lesse_quals(B,E,tc_fun(D,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=12): 154 [] -class_HOL_Oord(A)|hBOOL(c_in(B,C,A))| -c_Lubs_OisLub(C,D,B,A).
% 56.37/56.54  ** KEPT (pick-wt=10): 155 [] -class_RealVector_Otopological__space(A)|hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(A),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 56.37/56.54  ** KEPT (pick-wt=11): 156 [] -class_HOL_Oord(A)|c_Lubs_Osetle(B,C,A)| -c_Lubs_OisLub(D,B,C,A).
% 56.37/56.54    Following clause subsumed by 80 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 56.37/56.54  ** KEPT (pick-wt=31): 157 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)),A).
% 56.37/56.54  ** KEPT (pick-wt=11): 158 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),A).
% 56.37/56.54  ** KEPT (pick-wt=11): 159 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B),A).
% 56.37/56.54  ** KEPT (pick-wt=25): 160 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 56.37/56.54    Following clause subsumed by 160 during input processing: 0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=19): 161 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 56.37/56.54  ** KEPT (pick-wt=11): 162 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),A).
% 56.37/56.54  ** KEPT (pick-wt=11): 163 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B),A).
% 56.37/56.54    Following clause subsumed by 161 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 56.37/56.54    Following clause subsumed by 161 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 56.37/56.54  ** KEPT (pick-wt=25): 164 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))|B=C| -c_Fun_Oinj__on(A,D,E,F).
% 56.37/56.54    Following clause subsumed by 164 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 56.37/56.54    Following clause subsumed by 164 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 56.37/56.54    Following clause subsumed by 164 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,D,E,F)|B=C| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E)).
% 56.37/56.54  ** KEPT (pick-wt=17): 165 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),B),C)).
% 56.37/56.54  ** KEPT (pick-wt=17): 166 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),B),D),C)).
% 56.37/56.54  ** KEPT (pick-wt=9): 167 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(B,A)).
% 56.37/56.54  ** KEPT (pick-wt=9): 168 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,A,C)).
% 56.37/56.54  ** KEPT (pick-wt=18): 169 [] c_Finite__Set_Ofinite(c_Set_Ovimage(A,B,C,D),C)| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D)| -c_Finite__Set_Ofinite(B,D).
% 56.37/56.54  ** KEPT (pick-wt=18): 170 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),c_Collect(A,C)),C)).
% 56.37/56.54  ** KEPT (pick-wt=23): 171 [] -class_Lattices_Olattice(A)|hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,A)),B),C),v_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(B,v_x)),hAPP(C,v_x)).
% 56.37/56.54  ** KEPT (pick-wt=11): 172 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 56.37/56.54  ** KEPT (pick-wt=11): 173 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A)=c_Orderings_Obot__class_Obot(A).
% 56.37/56.54  ** KEPT (pick-wt=37): 174 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))| -c_lesse_quals(D,B,tc_fun(A,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=37): 175 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)!=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))|c_lesse_quals(D,B,tc_fun(A,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=22): 176 [] hBOOL(c_in(A,B,C))|hBOOL(c_in(A,D,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),B),C)).
% 56.37/56.54  ** KEPT (pick-wt=23): 177 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),B)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=15): 178 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C))=B.
% 56.37/56.54  ** KEPT (pick-wt=16): 179 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=C|c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=16): 180 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=B| -c_lesse_quals(C,B,tc_fun(A,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=16): 181 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=C| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=14): 182 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=C| -c_lesse_quals(B,C,A).
% 56.37/56.54  ** KEPT (pick-wt=14): 183 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=C|c_lesse_quals(B,C,A).
% 56.37/56.54  ** KEPT (pick-wt=14): 184 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=B| -c_lesse_quals(C,B,A).
% 56.37/56.54  ** KEPT (pick-wt=24): 185 [] -class_RealVector_Otopological__space(A)|hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)))| -hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(A),C))| -hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(A),B)).
% 56.37/56.54  ** KEPT (pick-wt=20): 186 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C).
% 56.37/56.54  ** KEPT (pick-wt=20): 187 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C).
% 56.37/56.54  ** KEPT (pick-wt=18): 188 [] -class_HOL_Oord(A)|c_lesse_quals(B,C,A)| -hBOOL(c_in(B,D,A))| -hBOOL(hAPP(c_Lubs_OisUb(E,D,A),C)).
% 56.37/56.54  ** KEPT (pick-wt=18): 189 [] hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))=C| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,I,C,B).
% 56.37/56.54  ** KEPT (pick-wt=18): 190 [] hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))=C| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,C,I,B).
% 56.37/56.54  ** KEPT (pick-wt=22): 191 [] hBOOL(hAPP(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D)))| -hBOOL(hAPP(A,D))| -hBOOL(hAPP(A,C))| -c_RealVector_Otopological__space(A,B).
% 56.37/56.54  ** KEPT (pick-wt=10): 192 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),B)=B.
% 56.37/56.54  ** KEPT (pick-wt=23): 193 [] -class_Lattices_Olattice(A)|hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,A)),B),C),v_x)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(B,v_x)),hAPP(C,v_x)).
% 56.37/56.54  ** KEPT (pick-wt=14): 194 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 56.37/56.54  ** KEPT (pick-wt=12): 195 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=6): 196 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 56.37/56.54  ** KEPT (pick-wt=6): 197 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 56.37/56.54    Following clause subsumed by 194 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=16): 198 [] c_Fun_Oinj__on(A,B,C,D)| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_Fun_Oinj__on(A,E,C,D).
% 56.37/56.54  ** KEPT (pick-wt=18): 199 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=16): 200 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 56.37/56.54    Following clause subsumed by 200 during input processing: 0 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)).
% 56.37/56.54    Following clause subsumed by 200 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 56.37/56.54    Following clause subsumed by 200 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 56.37/56.54    Following clause subsumed by 195 during input processing: 0 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(C,B).
% 56.37/56.54  ** KEPT (pick-wt=14): 201 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 56.37/56.54  ** KEPT (pick-wt=14): 202 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 56.37/56.54  ** KEPT (pick-wt=15): 203 [] -class_HOL_Oord(A)|c_lesse_quals(B,C,A)| -hBOOL(c_in(B,D,A))| -c_Lubs_Osetle(D,C,A).
% 56.37/56.54    Following clause subsumed by 203 during input processing: 0 [] -class_HOL_Oord(A)|c_lesse_quals(B,C,A)| -hBOOL(c_in(B,D,A))| -c_Lubs_Osetle(D,C,A).
% 56.37/56.54  ** KEPT (pick-wt=15): 204 [] -class_HOL_Oord(A)|c_lesse_quals(B,C,A)| -hBOOL(c_in(C,D,A))| -c_Lubs_Osetge(B,D,A).
% 56.37/56.54    Following clause subsumed by 204 during input processing: 0 [] -class_HOL_Oord(A)|c_lesse_quals(B,C,A)| -hBOOL(c_in(C,D,A))| -c_Lubs_Osetge(B,D,A).
% 56.37/56.54  ** KEPT (pick-wt=10): 205 [] hBOOL(hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))))| -c_RealVector_Otopological__space(A,B).
% 56.37/56.54  ** KEPT (pick-wt=23): 206 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),c_Collect(D,B)),B))| -hBOOL(hAPP(D,A))| -hBOOL(c_in(A,C,B)).
% 56.37/56.54  ** KEPT (pick-wt=14): 207 [] hBOOL(hAPP(c_Set_Ovimage(A,B,C,D),E))| -hBOOL(hAPP(B,hAPP(A,E))).
% 56.37/56.54  ** KEPT (pick-wt=14): 208 [] hBOOL(hAPP(A,hAPP(B,C)))| -hBOOL(hAPP(c_Set_Ovimage(B,A,D,E),C)).
% 56.37/56.54  ** KEPT (pick-wt=22): 209 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,D,B))| -hBOOL(c_in(A,C,B)).
% 56.37/56.54    Following clause subsumed by 209 during input processing: 0 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,D,B))| -hBOOL(c_in(A,C,B)).
% 56.37/56.54  ** KEPT (pick-wt=18): 210 [] c_Set_Ovimage(c_COMBK(A,B,C),D,C,B)=c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,B)).
% 56.37/56.54  ** KEPT (pick-wt=13): 211 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(B,c_Complete__Lattice_OSup__class_OSup(C,A),A)| -hBOOL(c_in(B,C,A)).
% 56.37/56.54  ** KEPT (pick-wt=10): 212 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 56.37/56.54  ** KEPT (pick-wt=12): 213 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Collect(B,A)| -hBOOL(hAPP(B,C)).
% 56.37/56.54  ** KEPT (pick-wt=12): 214 [] c_Collect(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(A,C)).
% 56.37/56.54  ** KEPT (pick-wt=15): 215 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)!=c_Orderings_Otop__class_Otop(A)|C=c_Orderings_Otop__class_Otop(A).
% 56.37/56.54  ** KEPT (pick-wt=15): 216 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)!=c_Orderings_Otop__class_Otop(A)|B=c_Orderings_Otop__class_Otop(A).
% 56.37/56.54  ** KEPT (pick-wt=10): 217 [] -class_RealVector_Otopological__space(A)|hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(A),c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)))).
% 56.37/56.54  ** KEPT (pick-wt=12): 218 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Orderings_Otop__class_Otop(A))=c_Orderings_Otop__class_Otop(A).
% 56.37/56.54  ** KEPT (pick-wt=12): 219 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),c_Orderings_Otop__class_Otop(A)),B)=c_Orderings_Otop__class_Otop(A).
% 56.37/56.54  ** KEPT (pick-wt=20): 220 [] -class_HOL_Oord(A)|hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,A),C))|hBOOL(c_in(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(B,C,A),B,A)).
% 56.37/56.54  ** KEPT (pick-wt=13): 222 [copy,221,flip.2] -class_HOL_Oord(A)|c_Collect(c_Lubs_OisUb(B,C,A),A)=c_Lubs_Oubs(B,C,A).
% 56.37/56.54  ** KEPT (pick-wt=21): 223 [] c_Finite__Set_Ofinite(c_Collect(c_COMBB(c_Not,A,tc_bool,tc_bool,B),B),B)| -c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(c_Collect(A,B),B).
% 56.37/56.54  ** KEPT (pick-wt=21): 224 [] c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A)| -c_Finite__Set_Ofinite(c_Collect(c_COMBB(c_Not,B,tc_bool,tc_bool,A),A),A)| -c_Finite__Set_Ofinite(c_Collect(B,A),A).
% 56.37/56.54  ** KEPT (pick-wt=21): 225 [] c_Collect(A,B)=c_Collect(C,B)| -hBOOL(hAPP(C,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(A,C,B)))| -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(A,C,B))).
% 56.37/56.54  ** KEPT (pick-wt=10): 226 [] hBOOL(hAPP(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool))))| -c_RealVector_Otopological__space(A,B).
% 56.37/56.54  ** KEPT (pick-wt=11): 227 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A)=c_Orderings_Otop__class_Otop(A).
% 56.37/56.54  ** KEPT (pick-wt=14): 228 [] -class_HOL_Oord(A)|hBOOL(hAPP(c_Lubs_OisUb(B,C,A),D))| -c_Lubs_OisLub(B,C,D,A).
% 56.37/56.54    Following clause subsumed by 136 during input processing: 0 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A).
% 56.37/56.54  ** KEPT (pick-wt=7): 229 [] -class_Orderings_Otop(A)|c_lesse_quals(B,c_Orderings_Otop__class_Otop(A),A).
% 56.37/56.54  ** KEPT (pick-wt=11): 230 [] -class_Orderings_Otop(A)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,A)),v_x)=c_Orderings_Otop__class_Otop(A).
% 56.37/56.54  ** KEPT (pick-wt=23): 231 [] -class_HOL_Oord(A)|c_Lubs_OisLub(B,C,D,A)| -c_Lubs_Osetge(D,c_Collect(c_Lubs_OisUb(B,C,A),A),A)| -hBOOL(hAPP(c_Lubs_OisUb(B,C,A),D)).
% 56.37/56.54  ** KEPT (pick-wt=11): 232 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),c_Orderings_Otop__class_Otop(A))=B.
% 56.37/56.54  ** KEPT (pick-wt=11): 233 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_Orderings_Otop__class_Otop(A)),B)=B.
% 56.37/56.54  ** KEPT (pick-wt=9): 234 [] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=18): 235 [] 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.
% 56.37/56.54  ** KEPT (pick-wt=8): 236 [] -class_RealVector_Otopological__space(A)|c_RealVector_Otopological__space__class_Oclosed(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A).
% 56.37/56.54  ** KEPT (pick-wt=19): 237 [] -class_HOL_Oord(A)|hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,A),C))| -c_lesse_quals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(B,C,A),C,A).
% 56.37/56.54  ** KEPT (pick-wt=18): 238 [] hAPP(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)))=C| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,I,C,B).
% 56.37/56.54  ** KEPT (pick-wt=18): 239 [] hAPP(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)))=C| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,C,I,B).
% 56.37/56.54  ** KEPT (pick-wt=13): 240 [] -class_HOL_Oord(A)|c_Lubs_Osetle(B,C,A)| -hBOOL(hAPP(c_Lubs_OisUb(D,B,A),C)).
% 56.37/56.54  ** KEPT (pick-wt=11): 241 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Collect(A,C),C)).
% 56.37/56.54  ** KEPT (pick-wt=11): 242 [] hBOOL(c_in(A,c_Collect(B,C),C))| -hBOOL(hAPP(B,A)).
% 56.37/56.54  ** KEPT (pick-wt=14): 243 [] -class_HOL_Oord(A)|hBOOL(c_in(B,C,A))| -hBOOL(hAPP(c_Lubs_OisUb(C,D,A),B)).
% 56.37/56.54  ** KEPT (pick-wt=24): 244 [] c_Lubs_OisLub(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),A,c_Deriv_Osko__Deriv__Xlemma__reals__complete__1__1(A),tc_RealDef_Oreal)| -hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),A,tc_RealDef_Oreal),B))| -hBOOL(c_in(C,A,tc_RealDef_Oreal)).
% 56.37/56.54  ** KEPT (pick-wt=24): 245 [] c_Lubs_OisLub(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),A,c_RComplete_Osko__RComplete__Xreals__complete__1__1(A),tc_RealDef_Oreal)| -hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),A,tc_RealDef_Oreal),B))| -hBOOL(c_in(C,A,tc_RealDef_Oreal)).
% 56.37/56.54  ** KEPT (pick-wt=9): 246 [] c_HOL_Oord__class_Oless(A,v_sko__CHAINED__1(v_P),tc_RealDef_Oreal)| -hBOOL(hAPP(v_P,A)).
% 56.37/56.54  ** KEPT (pick-wt=12): 247 [] -hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),c_Collect(v_P,tc_RealDef_Oreal),tc_RealDef_Oreal),A)).
% 56.37/56.54  ** KEPT (pick-wt=6): 248 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 56.37/56.54  ** KEPT (pick-wt=6): 249 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 56.37/56.54  ** KEPT (pick-wt=6): 250 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 56.37/56.54  ** KEPT (pick-wt=6): 251 [] class_Lattices_Odistrib__lattice(tc_fun(A,B))| -class_Lattices_Odistrib__lattice(B).
% 56.37/56.54  ** KEPT (pick-wt=6): 252 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 56.37/56.54  ** KEPT (pick-wt=6): 253 [] class_Lattices_Oboolean__algebra(tc_fun(A,B))| -class_Lattices_Oboolean__algebra(B).
% 56.37/56.54  ** KEPT (pick-wt=8): 254 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 56.37/56.54  ** KEPT (pick-wt=6): 255 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 56.37/56.54  ** KEPT (pick-wt=6): 256 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 56.37/56.54  ** KEPT (pick-wt=6): 257 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 56.37/56.54  ** KEPT (pick-wt=6): 258 [] class_Orderings_Otop(tc_fun(A,B))| -class_Orderings_Otop(B).
% 56.37/56.54  ** KEPT (pick-wt=6): 259 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 56.37/56.54  ** KEPT (pick-wt=6): 260 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 56.37/56.54  ** KEPT (pick-wt=7): 261 [] A=B| -c_fe_qual(A,B,C).
% 56.37/56.54  166 back subsumes 137.
% 56.37/56.54  
% 56.37/56.54  ------------> process sos:
% 56.37/56.54  ** KEPT (pick-wt=3): 288 [] A=A.
% 56.37/56.54  ** KEPT (pick-wt=14): 289 [] c_lesse_quals(c_Set_Oimage(A,c_Set_Ovimage(A,B,C,D),C,D),B,tc_fun(D,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=16): 290 [] c_Set_Oimage(c_COMBK(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=32): 291 [] c_lesse_quals(c_Set_Oimage(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B,E),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(E,tc_bool)),c_Set_Oimage(A,C,B,E)),c_Set_Oimage(A,D,B,E)),tc_fun(E,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=26): 292 [] c_Set_Oimage(c_COMBB(A,B,C,D,E),c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,D)=c_Set_Oimage(A,c_Set_Oimage(B,c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,C),C,D).
% 56.37/56.54  ---> New Demodulator: 293 [new_demod,292] c_Set_Oimage(c_COMBB(A,B,C,D,E),c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,D)=c_Set_Oimage(A,c_Set_Oimage(B,c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,C),C,D).
% 56.37/56.54  ** KEPT (pick-wt=14): 294 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D),D)).
% 56.37/56.54  ** KEPT (pick-wt=29): 295 [] c_Set_Oimage(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B,E)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_Set_Oimage(A,C,B,E)),c_Set_Oimage(A,D,B,E)).
% 56.37/56.54  ** KEPT (pick-wt=20): 297 [copy,296,flip.1] c_Set_Oimage(c_COMBB(A,B,C,D,E),F,E,D)=c_Set_Oimage(A,c_Set_Oimage(B,F,E,C),C,D).
% 56.37/56.54  ---> New Demodulator: 298 [new_demod,297] c_Set_Oimage(c_COMBB(A,B,C,D,E),F,E,D)=c_Set_Oimage(A,c_Set_Oimage(B,F,E,C),C,D).
% 56.37/56.54  ** KEPT (pick-wt=11): 299 [] c_Finite__Set_Ofold(A,B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,D)=B.
% 56.37/56.54  ---> New Demodulator: 300 [new_demod,299] c_Finite__Set_Ofold(A,B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,D)=B.
% 56.37/56.54  ** KEPT (pick-wt=8): 301 [] c_Set_Oimage(c_COMBI(A),B,A,A)=B.
% 56.37/56.54  ---> New Demodulator: 302 [new_demod,301] c_Set_Oimage(c_COMBI(A),B,A,A)=B.
% 56.37/56.54  ** KEPT (pick-wt=13): 303 [] c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=13): 304 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 56.37/56.54  ** KEPT (pick-wt=25): 306 [copy,305,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Set_Oimage(C,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,A))=c_Set_Oimage(C,c_Set_Ovimage(C,B,D,A),D,A).
% 56.37/56.54  ---> New Demodulator: 307 [new_demod,306] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Set_Oimage(C,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,A))=c_Set_Oimage(C,c_Set_Ovimage(C,B,D,A),D,A).
% 56.37/56.54  ** KEPT (pick-wt=13): 308 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),C,tc_fun(A,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=13): 309 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=38): 310 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 56.37/56.54  ** KEPT (pick-wt=38): 312 [copy,311,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 56.37/56.54  ---> New Demodulator: 313 [new_demod,312] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 56.37/56.54  ** KEPT (pick-wt=19): 314 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 56.37/56.54  ---> New Demodulator: 315 [new_demod,314] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=13): 316 [] 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)).
% 56.37/56.54  ** KEPT (pick-wt=16): 318 [copy,317,flip.1] c_Collect(c_COMBB(A,B,C,tc_bool,D),D)=c_Set_Ovimage(B,c_Collect(A,C),D,C).
% 56.37/56.54  ---> New Demodulator: 319 [new_demod,318] c_Collect(c_COMBB(A,B,C,tc_bool,D),D)=c_Set_Ovimage(B,c_Collect(A,C),D,C).
% 56.37/56.54  ** KEPT (pick-wt=13): 320 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=B.
% 56.37/56.54  ---> New Demodulator: 321 [new_demod,320] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=B.
% 56.37/56.54  ** KEPT (pick-wt=13): 322 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=B.
% 56.37/56.54  ---> New Demodulator: 323 [new_demod,322] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=B.
% 56.37/56.54  ** KEPT (pick-wt=31): 324 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 56.37/56.54  ---> New Demodulator: 325 [new_demod,324] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 56.37/56.54  ** KEPT (pick-wt=31): 326 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)).
% 56.37/56.54  ** KEPT (pick-wt=6): 327 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 56.37/56.54  ** KEPT (pick-wt=16): 328 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 56.37/56.54  ---> New Demodulator: 329 [new_demod,328] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=16): 330 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 56.37/56.54  ---> New Demodulator: 331 [new_demod,330] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=9): 332 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 56.37/56.54  ** KEPT (pick-wt=38): 334 [copy,333,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 56.37/56.54  ---> New Demodulator: 335 [new_demod,334] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 56.37/56.54  ** KEPT (pick-wt=38): 336 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 56.37/56.55  ** KEPT (pick-wt=10): 337 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),B)=B.
% 56.37/56.55  ---> New Demodulator: 338 [new_demod,337] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),B)=B.
% 56.37/56.55  ** KEPT (pick-wt=14): 339 [] hAPP(c_COMBB(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 56.37/56.55  ---> New Demodulator: 340 [new_demod,339] hAPP(c_COMBB(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 56.37/56.55  ** KEPT (pick-wt=6): 341 [] hAPP(c_COMBI(A),B)=B.
% 56.37/56.55  ---> New Demodulator: 342 [new_demod,341] hAPP(c_COMBI(A),B)=B.
% 56.37/56.55  ** KEPT (pick-wt=8): 343 [] hAPP(c_COMBK(A,B,C),D)=A.
% 56.37/56.55  ---> New Demodulator: 344 [new_demod,343] hAPP(c_COMBK(A,B,C),D)=A.
% 56.37/56.55  ** KEPT (pick-wt=8): 345 [] c_Fun_Oinj__on(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C).
% 56.37/56.55  ** KEPT (pick-wt=31): 346 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 56.37/56.55  ---> New Demodulator: 347 [new_demod,346] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 56.37/56.55  ** KEPT (pick-wt=31): 348 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)).
% 56.37/56.55  ** KEPT (pick-wt=17): 349 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),B).
% 56.37/56.55  ** KEPT (pick-wt=73): 351 [copy,350,demod,347,325,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),B)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),B))).
% 56.37/56.55  ---> New Demodulator: 352 [new_demod,351] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),B)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),B))).
% 56.37/56.55  ** KEPT (pick-wt=17): 353 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),B).
% 56.37/56.55  ** KEPT (pick-wt=24): 354 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 56.37/56.55  ---> New Demodulator: 355 [new_demod,354] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 56.37/56.55  ** KEPT (pick-wt=29): 356 [] c_Set_Ovimage(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),E,B)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(E,tc_bool)),c_Set_Ovimage(A,C,E,B)),c_Set_Ovimage(A,D,E,B)).
% 56.37/56.55  ** KEPT (pick-wt=29): 357 [] c_Set_Ovimage(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),E,B)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_Set_Ovimage(A,C,E,B)),c_Set_Ovimage(A,D,E,B)).
% 56.37/56.55  ** KEPT (pick-wt=13): 358 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),A),tc_fun(B,tc_bool)).
% 56.37/56.55  ** KEPT (pick-wt=13): 359 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),A),C),tc_fun(B,tc_bool)).
% 56.37/56.55  ** KEPT (pick-wt=6): 360 [] c_Fun_Oinj__on(c_COMBI(A),B,A,A).
% 56.37/56.55  ** KEPT (pick-wt=8): 361 [] c_Set_Ovimage(c_COMBI(A),B,A,A)=B.
% 56.37/56.55  ---> New Demodulator: 362 [new_demod,361] c_Set_Ovimage(c_COMBI(A),B,A,A)=B.
% 56.37/56.55  ** KEPT (pick-wt=14): 363 [] hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)=c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a).
% 56.37/56.55  ---> New Demodulator: 364 [new_demod,363] hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)=c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a).
% 56.37/56.55  ** KEPT (pick-wt=18): 365 [] c_Set_Ovimage(c_COMBK(A,B,C),D,C,B)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(c_in(A,D,B)).
% 56.37/56.55    Following clause subsumed by 332 during input processing: 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 56.37/56.55  ** KEPT (pick-wt=24): 366 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C).
% 56.37/56.55  ---> New Demodulator: 367 [new_demod,366] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C).
% 56.37/56.55  ** KEPT (pick-wt=10): 368 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B)=B.
% 56.37/56.55  ---> New Demodulator: 369 [new_demod,368] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B)=B.
% 56.37/56.55  ** KEPT (pick-wt=6): 370 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 56.37/56.55    Following clause subsumed by 370 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 56.37/56.55  ** KEPT (pick-wt=5): 371 [] hBOOL(hAPP(v_P,v_sko__local__Xex__1(v_P))).
% 56.37/56.55  ** KEPT (pick-wt=7): 372 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B)).
% 56.37/56.55  ** KEPT (pick-wt=4): 373 [] hBOOL(hAPP(v_P,v_x____)).
% 56.37/56.55  ** KEPT (pick-wt=8): 374 [] hBOOL(c_in(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B)).
% 56.37/56.55  ** KEPT (pick-wt=16): 375 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))),B)=c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)).
% 56.37/56.55  ---> New Demodulator: 376 [new_demod,375] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))),B)=c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)).
% 56.37/56.55  ** KEPT (pick-wt=16): 377 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)))=c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)).
% 56.37/56.55  ---> New Demodulator: 378 [new_demod,377] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)))=c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)).
% 56.37/56.55  ** KEPT (pick-wt=5): 379 [] c_Collect(A,B)=A.
% 56.37/56.55  ---> New Demodulator: 380 [new_demod,379] c_Collect(A,B)=A.
% 56.37/56.55  ** KEPT (pick-wt=9): 382 [copy,381,demod,380] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))=c_COMBK(c_True,tc_bool,A).
% 56.37/56.55  ---> New Demodulator: 383 [new_demod,382] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))=c_COMBK(c_True,tc_bool,A).
% 56.37/56.55  ** KEPT (pick-wt=17): 385 [copy,384,demod,380,380] A=B|hBOOL(hAPP(B,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(A,B,C)))|hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(A,B,C))).
% 56.37/56.55  ** KEPT (pick-wt=6): 387 [copy,386,demod,380] hBOOL(c_in(v_sko__local__Xthx__1(v_P),v_P,tc_RealDef_Oreal)).
% 56.37/56.55  ** KEPT (pick-wt=9): 389 [copy,388,demod,383] c_lesse_quals(A,c_COMBK(c_True,tc_bool,B),tc_fun(B,tc_bool)).
% 56.37/56.55  ** KEPT (pick-wt=13): 391 [copy,390,demod,383] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_COMBK(c_True,tc_bool,A)),B)=B.
% 56.37/56.55  ---> New Demodulator: 392 [new_demod,391] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_COMBK(c_True,tc_bool,A)),B)=B.
% 56.37/56.55  ** KEPT (pick-wt=13): 394 [copy,393,demod,383] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_COMBK(c_True,tc_bool,A))=B.
% 56.37/56.55  ---> New Demodulator: 395 [new_demod,394] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_COMBK(c_True,tc_bool,A))=B.
% 56.37/56.55  ** KEPT (pick-wt=13): 397 [copy,396,demod,383,383] c_Set_Ovimage(A,c_COMBK(c_True,tc_bool,B),C,B)=c_COMBK(c_True,tc_bool,C).
% 56.37/56.55  ** KEPT (pick-wt=5): 398 [] hBOOL(hAPP(v_P,v_sko__local__Xassms__1__1(v_P))).
% 56.37/56.55    Following clause subsumed by 288 during input processing: 0 [demod,342] v_P=v_P.
% 56.37/56.55  ** KEPT (pick-wt=2): 399 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 56.37/56.55  ** KEPT (pick-wt=2): 400 [] class_Lattices_Oupper__semilattice(tc_bool).
% 56.37/56.55  ** KEPT (pick-wt=2): 401 [] class_Lattices_Olower__semilattice(tc_bool).
% 56.37/56.55  ** KEPT (pick-wt=2): 402 [] class_Lattices_Odistrib__lattice(tc_bool).
% 56.37/56.55  ** KEPT (pick-wt=2): 403 [] class_Lattices_Obounded__lattice(tc_bool).
% 56.37/56.55  ** KEPT (pick-wt=2): 404 [] class_Lattices_Oboolean__algebra(tc_bool).
% 56.37/56.55  ** KEPT (pick-wt=2): 405 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 56.37/56.55  ** KEPT (pick-wt=2): 406 [] class_Orderings_Opreorder(tc_bool).
% 56.37/56.55  ** KEPT (pick-wt=2): 407 [] class_Lattices_Olattice(tc_bool).
% 56.37/56.55  ** KEPT (pick-wt=2): 408 [] class_Orderings_Oorder(tc_bool).
% 56.37/56.55  ** KEPT (pick-wt=2): 409 [] class_Orderings_Otop(tc_bool).
% 56.37/56.55  ** KEPT (pick-wt=2): 410 [] class_Orderings_Obot(tc_bool).
% 56.37/56.55  ** KEPT (pick-wt=2): 411 [] class_HOL_Oord(tc_bool).
% 56.37/56.55  ** KEPT (pick-wt=2): 412 [] class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal).
% 56.37/56.55  ** KEPT (pick-wt=2): 413 [] class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal).
% 56.37/56.55  ** KEPT (pick-wt=2): 414 [] class_RealVector_Otopological__space(tc_RealDef_Oreal).
% 56.37/56.55  ** KEPT (pick-wt=2): 415 [] class_Lattices_Oupper__semilattice(tc_RealDef_Oreal).
% 56.37/56.55  ** KEPT (pick-wt=2): 416 [] class_Lattices_Olower__semilattice(tc_RealDef_Oreal).
% 56.37/56.55  ** KEPT (pick-wt=2): 417 [] class_Lattices_Odistrib__lattice(tc_RealDef_Oreal).
% 56.37/56.55  ** KEPT (pick-wt=2): 418 [] class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal).
% 56.37/56.55  ** KEPT (pick-wt=2): 419 [] class_Orderings_Opreorder(tc_RealDef_Oreal).
% 56.37/56.55  ** KEPT (pick-wt=2): 420 [] class_Orderings_Olinorder(tc_RealDef_Oreal).
% 56.37/56.55  ** KEPT (pick-wt=2): 421 [] class_Lattices_Olattice(tc_RealDef_Oreal).
% 56.37/56.55  ** KEPT (pick-wt=2): 422 [] class_Orderings_Oorder(tc_RealDef_Oreal).
% 56.37/56.55  ** KEPT (pick-wt=2): 423 [] class_HOL_Oord(tc_RealDef_Oreal).
% 56.37/56.55  ** KEPT (pick-wt=4): 424 [] c_fe_qual(A,A,B).
% 56.37/56.55    Following clause subsumed by 288 during input processing: 0 [copy,288,flip.1] A=A.
% 56.37/56.55  288 back subsumes 286.
% 56.37/56.55  288 back subsumes 279.
% 56.37/56.55  288 back subsumes 270.
% 56.37/56.55  288 back subsumes 269.
% 56.37/56.55  288 back subsumes 268.
% 56.37/56.55    Following clause subsumed by 304 during input processing: 0 [copy,290,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(c_COMBK(B,A,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 56.37/56.55  >>>> Starting back demodulation with 293.
% 56.37/56.55      >> back demodulating 39 with 293.
% 56.37/56.55  ** KEPT (pick-wt=29): 425 [copy,295,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Set_Oimage(B,C,D,A)),c_Set_Oimage(B,E,D,A))=c_Set_Oimage(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),C),E),D,A).
% 56.37/56.55  >>>> Starting back demodulation with 298.
% 56.37/56.55      >> back demodulating 292 with 298.
% 56.37/56.55  >>>> Starting back demodulation with 300.
% 56.37/56.55  >>>> Starting back demodulation with 302.
% 56.37/56.55    Following clause subsumed by 304 during input processing: 0 [copy,303,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 56.37/56.55  303 back subsumes 290.
% 56.37/56.55    Following clause subsumed by 303 during input processing: 0 [copy,304,flip.1] c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 56.37/56.55  >>>> Starting back demodulation with 307.
% 56.37/56.55  ** KEPT (pick-wt=38): 426 [copy,310,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)),C).
% 56.37/56.55  >>>> Starting back demodulation with 313.
% 56.37/56.55  >>>> Starting back demodulation with 315.
% 56.37/56.55  ** KEPT (pick-wt=13): 427 [copy,316,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).
% 56.37/56.55  >>>> Starting back demodulation with 319.
% 56.37/56.55      >> back demodulating 224 with 319.
% 56.37/56.55      >> back demodulating 223 with 319.
% 56.37/56.55  >>>> Starting back demodulation with 321.
% 56.37/56.55      >> back demodulating 314 with 321.
% 56.37/56.55  >>>> Starting back demodulation with 323.
% 56.37/56.55  >>>> Starting back demodulation with 325.
% 56.37/56.55    Following clause subsumed by 326 during input processing: 0 [copy,326,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)).
% 56.37/56.55  >>>> Starting back demodulation with 329.
% 56.37/56.55  >>>> Starting back demodulation with 331.
% 56.37/56.55  >>>> Starting back demodulation with 335.
% 56.37/56.55  ** KEPT (pick-wt=38): 430 [copy,336,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)),C).
% 56.37/56.55  >>>> Starting back demodulation with 338.
% 56.37/56.55      >> back demodulating 283 with 338.
% 56.37/56.55      >> back demodulating 280 with 338.
% 56.37/56.55      >> back demodulating 277 with 338.
% 56.37/56.55      >> back demodulating 276 with 338.
% 56.37/56.55      >> back demodulating 275 with 338.
% 56.37/56.55      >> back demodulating 273 with 338.
% 56.37/56.55      >> back demodulating 272 with 338.
% 56.37/56.55      >> back demodulating 267 with 338.
% 56.37/56.55  >>>> Starting back demodulation with 340.
% 56.37/56.55  >>>> Starting back demodulation with 342.
% 56.37/56.55  >>>> Starting back demodulation with 344.
% 56.37/56.55  >>>> Starting back demodulation with 347.
% 56.37/56.55    Following clause subsumed by 348 during input processing: 0 [copy,348,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)).
% 56.37/56.55    Following clause subsumed by 349 during input processing: 0 [copy,349,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),B).
% 56.37/56.55  >>>> Starting back demodulation with 352.
% 56.37/56.55    Following clause subsumed by 353 during input processing: 0 [copy,353,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),B).
% 56.37/56.55  >>>> Starting back demodulation with 355.
% 56.37/56.55  ** KEPT (pick-wt=29): 431 [copy,356,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Set_Ovimage(B,C,A,D)),c_Set_Ovimage(B,E,A,D))=c_Set_Ovimage(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(D,tc_bool)),C),E),A,D).
% 56.37/56.55  ** KEPT (pick-wt=29): 432 [copy,357,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Set_Ovimage(B,C,A,D)),c_Set_Ovimage(B,E,A,D))=c_Set_Ovimage(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),C),E),A,D).
% 56.37/56.55  >>>> Starting back demodulation with 362.
% 56.37/56.55  >>>> Starting back demodulation with 364.
% 56.37/56.55  >>>> Starting back demodulation with 367.
% 56.37/56.55  >>>> Starting back demodulation with 369.
% 56.37/56.55      >> back demodulating 284 with 369.
% 56.37/56.55      >> back demodulating 282 with 369.
% 56.37/56.55      >> back demodulating 281 with 369.
% 56.37/56.55      >> back demodulating 274 with 369.
% 56.37/56.55      >> back demodulating 271 with 369.
% 56.37/56.55      >> back demodulating 266 with 369.
% 56.37/56.55      >> back demodulating 265 with 369.
% 56.37/56.55      >> back demodulating 264 with 369.
% 56.37/56.55      >> back demodulating 262 with 369.
% 56.37/56.55  >>>> Starting back demodulation with 376.
% 56.37/56.55  >>>> Starting back demodulation with 378.
% 56.37/56.55  >>>> Starting back demodulation with 380.
% 56.37/56.55      >> back demodulating 318 with 380.
% 56.37/56.55      >> back demodulating 247 with 380.
% 56.37/56.55      >> back demodulating 242 with 380.
% 56.37/56.55      >> back demodulating 241 with 380.
% 56.37/56.55      >> back demodulating 231 with 380.
% 56.37/56.55      >> back demodulating 225 with 380.
% 56.37/56.55      >> back demodulating 222 with 380.
% 56.37/56.55      >> back demodulating 214 with 380.
% 56.37/56.55      >> back demodulating 213 with 380.
% 56.37/56.55      >> back demodulating 206 with 380.
% 56.37/56.55      >> back demodulating 170 with 380.
% 56.37/56.55      >> back demodulating 75 with 380.
% 56.37/56.55      >> back demodulating 44 with 380.
% 56.37/56.55      >> back demodulating 43 with 380.
% 56.37/56.55  >>>> Starting back demodulation with 383.
% 56.37/56.55      >> back demodulating 377 with 383.
% 56.37/56.55      >> back demodulating 375 with 383.
% 56.37/56.55      >> back demodulating 374 with 383.
% 56.37/56.55      >> back demodulating 372 with 383.
% 56.37/56.55      >> back demodulating 306 with 383.
% 56.37/56.55      >> back demodulating 294 with 383.
% 56.37/56.55      >> back demodulating 245 with 383.
% 56.37/56.55      >> back demodulating 244 with 383.
% 56.37/56.55      >> back demodulating 239 with 383.
% 56.37/56.55      >> back demodulating 238 with 383.
% 56.37/56.55      >> back demodulating 237 with 383.
% 56.37/56.55      >> back demodulating 236 with 383.
% 56.37/56.55      >> back demodulating 235 with 383.
% 56.37/56.55      >> back demodulating 234 with 383.
% 56.37/56.55      >> back demodulating 227 with 383.
% 56.37/56.55      >> back demodulating 226 with 383.
% 56.37/56.55      >> back demodulating 220 with 383.
% 56.37/56.55      >> back demodulating 217 with 383.
% 56.37/56.55      >> back demodulating 210 with 383.
% 56.37/56.55      >> back demodulating 169 with 383.
% 56.37/56.55      >> back demodulating 72 with 383.
% 56.37/56.55      >> back demodulating 49 with 383.
% 56.37/56.55      >> back demodulating 48 with 383.
% 56.37/56.55      >> back demodulating 47 with 383.
% 56.37/56.55      >> back demodulating 40 with 383.
% 56.37/56.55      >> back demodulating 5 with 383.
% 56.37/56.55  >>>> Starting back demodulation with 392.
% 56.37/56.55  >>>> Starting back demodulation with 395.
% 56.37/56.55  ** KEPT (pick-wt=14): 476 [copy,397,flip.1,demod,435] c_COMBK(c_True,tc_bool,A)=c_COMBB(c_COMBK(c_True,tc_bool,B),C,B,tc_bool,A).
% 56.37/56.55    Following clause subsumed by 295 during input processing: 0 [copy,425,flip.1] c_Set_Oimage(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B,E)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_Set_Oimage(A,C,B,E)),c_Set_Oimage(A,D,B,E)).
% 56.37/56.55    Following clause subsumed by 310 during input processing: 0 [copy,426,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 56.37/56.55  ** KEPT (pick-wt=14): 477 [copy,427,flip.1,demod,435] c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,tc_bool,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 56.37/56.55    Following clause subsumed by 336 during input processing: 0 [copy,430,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 56.83/56.92  ** KEPT (pick-wt=32): 479 [copy,431,flip.1,demod,435,435,435] c_COMBB(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,A,tc_bool,E)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(E,tc_bool)),c_COMBB(B,D,A,tc_bool,E)),c_COMBB(C,D,A,tc_bool,E)).
% 56.83/56.92  ** KEPT (pick-wt=32): 480 [copy,432,flip.1,demod,435,435,435] c_COMBB(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,A,tc_bool,E)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_COMBB(B,D,A,tc_bool,E)),c_COMBB(C,D,A,tc_bool,E)).
% 56.83/56.92  >>>> Starting back demodulation with 435.
% 56.83/56.92      >> back demodulating 432 with 435.
% 56.83/56.92      >> back demodulating 431 with 435.
% 56.83/56.92      >> back demodulating 427 with 435.
% 56.83/56.92      >> back demodulating 397 with 435.
% 56.83/56.92      >> back demodulating 365 with 435.
% 56.83/56.92      >> back demodulating 361 with 435.
% 56.83/56.92      >> back demodulating 357 with 435.
% 56.83/56.92      >> back demodulating 356 with 435.
% 56.83/56.92      >> back demodulating 316 with 435.
% 56.83/56.92      >> back demodulating 289 with 435.
% 56.83/56.92      >> back demodulating 208 with 435.
% 56.83/56.92      >> back demodulating 207 with 435.
% 56.83/56.92      >> back demodulating 153 with 435.
% 56.83/56.92      >> back demodulating 128 with 435.
% 56.83/56.92      >> back demodulating 127 with 435.
% 56.83/56.92  >>>> Starting back demodulation with 448.
% 56.83/56.92  >>>> Starting back demodulation with 450.
% 56.83/56.92  >>>> Starting back demodulation with 454.
% 56.83/56.92    Following clause subsumed by 484 during input processing: 0 [copy,476,flip.1] c_COMBB(c_COMBK(c_True,tc_bool,A),B,A,tc_bool,C)=c_COMBK(c_True,tc_bool,C).
% 56.83/56.92    Following clause subsumed by 483 during input processing: 0 [copy,477,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_bool,A).
% 56.83/56.92    Following clause subsumed by 482 during input processing: 0 [copy,479,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_COMBB(B,C,D,tc_bool,A)),c_COMBB(E,C,D,tc_bool,A))=c_COMBB(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(D,tc_bool)),B),E),C,D,tc_bool,A).
% 56.83/56.92    Following clause subsumed by 481 during input processing: 0 [copy,480,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_COMBB(B,C,D,tc_bool,A)),c_COMBB(E,C,D,tc_bool,A))=c_COMBB(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),B),E),C,D,tc_bool,A).
% 56.83/56.92    Following clause subsumed by 480 during input processing: 0 [copy,481,flip.1] c_COMBB(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,A,tc_bool,E)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_COMBB(B,D,A,tc_bool,E)),c_COMBB(C,D,A,tc_bool,E)).
% 56.83/56.92    Following clause subsumed by 479 during input processing: 0 [copy,482,flip.1] c_COMBB(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,A,tc_bool,E)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(E,tc_bool)),c_COMBB(B,D,A,tc_bool,E)),c_COMBB(C,D,A,tc_bool,E)).
% 56.83/56.92    Following clause subsumed by 477 during input processing: 0 [copy,483,flip.1] c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,tc_bool,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 56.83/56.92    Following clause subsumed by 476 during input processing: 0 [copy,484,flip.1] c_COMBK(c_True,tc_bool,A)=c_COMBB(c_COMBK(c_True,tc_bool,B),C,B,tc_bool,A).
% 56.83/56.92  >>>> Starting back demodulation with 487.
% 56.83/56.92  
% 56.83/56.92  ======= end of input processing =======
% 56.83/56.92  
% 56.83/56.92  =========== start of search ===========
% 56.83/56.92  
% 56.83/56.92  
% 56.83/56.92  Resetting weight limit to 2.
% 56.83/56.92  
% 56.83/56.92  
% 56.83/56.92  Resetting weight limit to 2.
% 56.83/56.92  
% 56.83/56.92  sos_size=134
% 56.83/56.92  
% 56.83/56.92  Search stopped because sos empty.
% 56.83/56.92  
% 56.83/56.92  
% 56.83/56.92  Search stopped because sos empty.
% 56.83/56.92  
% 56.83/56.92  ============ end of search ============
% 56.83/56.92  
% 56.83/56.92  -------------- statistics -------------
% 56.83/56.92  clauses given                135
% 56.83/56.92  clauses generated          29510
% 56.83/56.92  clauses kept                 435
% 56.83/56.92  clauses forward subsumed      84
% 56.83/56.92  clauses back subsumed          7
% 56.83/56.92  Kbytes malloced             7812
% 56.83/56.92  
% 56.83/56.92  ----------- times (seconds) -----------
% 56.83/56.92  user CPU time          0.41          (0 hr, 0 min, 0 sec)
% 56.83/56.92  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 56.83/56.92  wall-clock time       57             (0 hr, 0 min, 57 sec)
% 56.83/56.92  
% 56.83/56.92  Process 5009 finished Wed Jul 27 03:43:32 2022
% 56.83/56.92  Otter interrupted
% 56.83/56.92  PROOF NOT FOUND
%------------------------------------------------------------------------------