TSTP Solution File: SWV855-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV855-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:21:41 EDT 2022
% Result : Unknown 160.72s 160.82s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV855-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 05:35:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 160.02/160.14 ----- Otter 3.3f, August 2004 -----
% 160.02/160.14 The process was started by sandbox2 on n007.cluster.edu,
% 160.02/160.14 Wed Jul 27 05:35:01 2022
% 160.02/160.14 The command was "./otter". The process ID is 4596.
% 160.02/160.14
% 160.02/160.14 set(prolog_style_variables).
% 160.02/160.14 set(auto).
% 160.02/160.14 dependent: set(auto1).
% 160.02/160.14 dependent: set(process_input).
% 160.02/160.14 dependent: clear(print_kept).
% 160.02/160.14 dependent: clear(print_new_demod).
% 160.02/160.14 dependent: clear(print_back_demod).
% 160.02/160.14 dependent: clear(print_back_sub).
% 160.02/160.14 dependent: set(control_memory).
% 160.02/160.14 dependent: assign(max_mem, 12000).
% 160.02/160.14 dependent: assign(pick_given_ratio, 4).
% 160.02/160.14 dependent: assign(stats_level, 1).
% 160.02/160.14 dependent: assign(max_seconds, 10800).
% 160.02/160.14 clear(print_given).
% 160.02/160.14
% 160.02/160.14 list(usable).
% 160.02/160.14 0 [] A=A.
% 160.02/160.14 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.
% 160.02/160.14 0 [] -hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 160.02/160.14 0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a).
% 160.02/160.14 0 [] c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 160.02/160.14 0 [] c_Finite__Set_Ofold__graph(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofold__graph(V_f,V_z,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_y,T_a,T_b).
% 160.02/160.14 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).
% 160.02/160.14 0 [] hAPP(V_Sup,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a))=hAPP(hAPP(V_sup,V_a),V_b)| -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).
% 160.02/160.14 0 [] hAPP(V_Inf,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a))=hAPP(hAPP(V_inf,V_a),V_b)| -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).
% 160.02/160.14 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)).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 0 [] hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 160.02/160.14 0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 160.02/160.14 0 [] c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)=c_Set_Oinsert(V_x,V_A,T_a).
% 160.02/160.14 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_A,T_a)),c_Set_Oinsert(V_a,V_B,T_a))=c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a).
% 160.02/160.14 0 [] hBOOL(c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a),T_aa)).
% 160.02/160.14 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 160.02/160.14 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 160.02/160.14 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,V_A,T_a),T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),c_Complete__Lattice_OSup__class_OSup(V_A,T_a)).
% 160.02/160.14 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)).
% 160.02/160.14 0 [] V_a=V_b| -c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_b,T_a).
% 160.02/160.14 0 [] c_Collect(V_P,T_a)=V_P.
% 160.02/160.14 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).
% 160.02/160.14 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)).
% 160.02/160.14 0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a))=c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a).
% 160.02/160.14 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C)=c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),T_a).
% 160.02/160.14 0 [] hAPP(c_Fun_Ooverride__on(V_f,V_g,V_A,T_a,T_b),V_a)=hAPP(V_f,V_a)|hBOOL(c_in(V_a,V_A,T_a)).
% 160.02/160.14 0 [] c_Fun_Oinj__on(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 160.02/160.14 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).
% 160.02/160.14 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 160.02/160.14 0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_B,T_a)).
% 160.02/160.14 0 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))|hBOOL(c_in(V_x,V_B,T_a))| -c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 0 [] c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_a,V_A,T_a),V_x,T_a)|hBOOL(c_in(V_a,V_A,T_a))| -c_Finite__Set_Ofold__graph(V_f,V_a,V_A,V_x,T_a,T_a).
% 160.02/160.14 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a)).
% 160.02/160.14 0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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)).
% 160.02/160.14 0 [] V_b=V_a| -hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)).
% 160.02/160.14 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_x,T_a,T_b).
% 160.02/160.14 0 [] 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))|c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))=V_A.
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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).
% 160.02/160.14 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A)=V_A.
% 160.02/160.14 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_x)=V_x.
% 160.02/160.14 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 160.02/160.14 0 [] c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 160.02/160.14 0 [] c_Relation_OImage(V_R,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_Relation_OImage(V_R,V_A,T_b,T_a)),c_Relation_OImage(V_R,V_B,T_b,T_a)).
% 160.02/160.14 0 [] c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b)|hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b),T_b))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 160.02/160.14 0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)).
% 160.02/160.14 0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)).
% 160.02/160.14 0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)).
% 160.02/160.14 0 [] c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a)=c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a).
% 160.02/160.14 0 [] hBOOL(c_in(V_x,V_S,T_a))| -hBOOL(hAPP(V_S,V_x)).
% 160.02/160.14 0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(c_in(V_x,V_S,T_a)).
% 160.02/160.14 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b))!=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,V_B,T_a,T_b)| -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).
% 160.02/160.14 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b))=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))| -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).
% 160.02/160.14 0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_lesse_quals(V_y,V_x,T_a).
% 160.02/160.14 0 [] -class_Orderings_Olinorder(T_a)| -c_lesse_quals(V_x,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 160.02/160.14 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_x,T_a)|c_lesse_quals(V_x,V_x,T_a).
% 160.02/160.14 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 160.02/160.14 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 160.02/160.14 0 [] -class_Orderings_Olinorder(T_a)| -c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 160.02/160.14 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 160.02/160.14 0 [] -class_HOL_Oord(T_b)| -c_lesse_quals(V_g,V_f,tc_fun(T_a,T_b))| -c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)).
% 160.02/160.14 0 [] -class_Orderings_Opreorder(T_a)| -c_lesse_quals(V_y,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 160.02/160.14 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)).
% 160.02/160.14 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).
% 160.02/160.14 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)|V_xa=V_y.
% 160.02/160.14 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|V_x_H=V_y_H.
% 160.02/160.14 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(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)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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).
% 160.02/160.14 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.
% 160.02/160.14 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.
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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).
% 160.02/160.14 0 [] c_lesse_quals(c_Relation_OImage(V_R,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_Relation_OImage(V_R,V_A,T_b,T_a)),c_Relation_OImage(V_R,V_B,T_b,T_a)),tc_fun(T_a,tc_bool)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 0 [] hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 0 [] hAPP(c_Fun_Ooverride__on(V_f,V_g,V_A,T_a,T_b),V_a)=hAPP(V_g,V_a)| -hBOOL(c_in(V_a,V_A,T_a)).
% 160.02/160.14 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.
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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.
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a))|hBOOL(c_in(V_x,V_B,T_a))| -c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a))|hBOOL(c_in(V_x,V_B,T_a)).
% 160.02/160.14 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))=c_HOL_Ominus__class_Ominus(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)),V_C),V_B),tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a))| -c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_b,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_a)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_b,V_A,T_a,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 160.02/160.14 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_D,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 160.02/160.14 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)).
% 160.02/160.14 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.
% 160.02/160.14 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.
% 160.02/160.14 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.
% 160.02/160.14 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.
% 160.02/160.14 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)).
% 160.02/160.14 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).
% 160.02/160.14 0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),V_B,tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 160.02/160.14 0 [] -c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] -class_HOL_Oord(T_b)|c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b))|c_lesse_quals(V_g,V_f,tc_fun(T_a,T_b))| -c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b)).
% 160.02/160.14 0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 160.02/160.14 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 160.02/160.14 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 160.02/160.14 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.
% 160.02/160.14 0 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)).
% 160.02/160.14 0 [] hBOOL(c_in(V_a,V_A,T_a))|V_a=V_b| -hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)).
% 160.02/160.14 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).
% 160.02/160.14 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_b,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_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).
% 160.02/160.14 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y.
% 160.02/160.14 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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).
% 160.02/160.14 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y.
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 160.02/160.14 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 160.02/160.14 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.
% 160.02/160.14 0 [] -class_Lattices_Olower__semilattice(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)| -c_HOL_Oord__class_Oless(V_b,V_x,T_a).
% 160.02/160.14 0 [] -class_Lattices_Olower__semilattice(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)| -c_HOL_Oord__class_Oless(V_a,V_x,T_a).
% 160.02/160.14 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,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_A.
% 160.02/160.14 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] -class_HOL_Oord(T_b)|c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b))| -c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)).
% 160.02/160.14 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 160.02/160.14 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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).
% 160.02/160.14 0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 160.02/160.14 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).
% 160.02/160.14 0 [] hAPP(V_Sup,c_Set_Oinsert(V_a,V_A,T_a))=hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_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).
% 160.02/160.14 0 [] hAPP(V_Inf,c_Set_Oinsert(V_a,V_A,T_a))=hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_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).
% 160.02/160.14 0 [] c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x,T_a).
% 160.02/160.14 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a).
% 160.02/160.14 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C)=c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),T_a)| -hBOOL(c_in(V_a,V_C,T_a)).
% 160.02/160.14 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a))=c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)| -hBOOL(c_in(V_a,V_A,T_a)).
% 160.02/160.14 0 [] c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a)=c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a).
% 160.02/160.14 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 160.02/160.14 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)).
% 160.02/160.14 0 [] hAPP(V_f,V_a)=V_b| -hBOOL(c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),T_a)).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 0 [] c_lesse_quals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 160.02/160.14 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).
% 160.02/160.14 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)=c_Set_Oinsert(V_a,V_A,T_a).
% 160.02/160.14 0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_B,T_a)).
% 160.02/160.14 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)).
% 160.02/160.14 0 [] hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))| -hBOOL(hAPP(V_P,V_a)).
% 160.02/160.14 0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)).
% 160.02/160.14 0 [] c_Set_Oinsert(V_x,V_xa,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_xa,T_a)).
% 160.02/160.14 0 [] hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))|hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 160.02/160.14 0 [] hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))|hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 160.02/160.14 0 [] c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(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).
% 160.02/160.14 0 [] hBOOL(c_in(V_x,V_B,T_a))| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 160.02/160.14 0 [] c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)=c_Set_Oimage(V_f,V_A,T_a,T_b)| -hBOOL(c_in(V_x,V_A,T_a)).
% 160.02/160.14 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 160.02/160.14 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 160.02/160.14 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 160.02/160.14 0 [] c_Set_Oinsert(V_x,V_A,T_a)!=c_Set_Oinsert(V_x,V_B,T_a)|hBOOL(c_in(V_x,V_B,T_a))|hBOOL(c_in(V_x,V_A,T_a))|V_A=V_B.
% 160.02/160.14 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)).
% 160.02/160.14 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)|hBOOL(c_in(V_a,V_A,T_a)).
% 160.02/160.14 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)|hBOOL(c_in(V_a,V_C,T_a)).
% 160.02/160.14 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_A,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_A).
% 160.02/160.14 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B).
% 160.02/160.14 0 [] -class_HOL_Ominus(T_b)|hAPP(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(t_a,T_b)),v_x)=c_HOL_Ominus__class_Ominus(hAPP(V_A,v_x),hAPP(V_B,v_x),T_b).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 0 [] c_HOL_Ominus__class_Ominus(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))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))).
% 160.02/160.14 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).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 160.02/160.14 0 [] c_Set_Oinsert(V_a,V_A,T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_A).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 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).
% 160.02/160.14 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 160.02/160.14 0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 160.02/160.14 0 [] c_Finite__Set_Ofold__graph(V_f,V_z,c_Set_Oinsert(V_x,V_A,T_a),hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)| -c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_y,T_a,T_b)|hBOOL(c_in(V_x,V_A,T_a)).
% 160.02/160.14 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)).
% 160.02/160.14 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)).
% 160.02/160.14 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b).
% 160.02/160.14 0 [] -hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b),T_b))| -c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b).
% 160.02/160.14 0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)|hBOOL(c_in(V_x,V_B,T_a)).
% 160.02/160.14 0 [] c_Nitpick_Ofold__graph_H(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)| -c_Nitpick_Ofold__graph_H(V_f,V_z,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_y,T_a,T_b)| -hBOOL(c_in(V_x,V_A,T_a)).
% 160.02/160.14 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 160.02/160.15 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)).
% 160.02/160.15 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)).
% 160.02/160.15 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).
% 160.02/160.15 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).
% 160.02/160.15 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).
% 160.02/160.15 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).
% 160.02/160.15 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).
% 160.02/160.15 0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))=V_A|hBOOL(c_in(V_x,V_A,T_a)).
% 160.02/160.15 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)).
% 160.02/160.15 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)).
% 160.02/160.15 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)).
% 160.02/160.15 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)).
% 160.02/160.15 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)).
% 160.02/160.15 0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 160.02/160.15 0 [] c_Finite__Set_Ofinite(V_a2,t_a)| -c_Wellfounded_Omax__extp(V_R,V_a1,V_a2,t_a).
% 160.02/160.15 0 [] c_Finite__Set_Ofinite(V_a1,t_a)| -c_Wellfounded_Omax__extp(V_R,V_a1,V_a2,t_a).
% 160.02/160.15 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)| -c_HOL_Oord__class_Oless(V_x,V_a,T_a).
% 160.02/160.15 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)| -c_HOL_Oord__class_Oless(V_x,V_b,T_a).
% 160.02/160.15 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)).
% 160.02/160.15 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).
% 160.02/160.15 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).
% 160.02/160.15 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)).
% 160.02/160.15 0 [] -class_Orderings_Otop(T_a)|c_lesse_quals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a).
% 160.02/160.15 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)).
% 160.02/160.15 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)).
% 160.02/160.15 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)).
% 160.02/160.15 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)).
% 160.02/160.15 0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 160.02/160.15 0 [] c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a)).
% 160.02/160.15 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).
% 160.02/160.15 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).
% 160.02/160.15 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).
% 160.02/160.15 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).
% 160.02/160.15 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).
% 160.02/160.15 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).
% 160.02/160.15 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).
% 160.02/160.15 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a).
% 160.02/160.15 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 160.02/160.15 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).
% 160.02/160.15 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)).
% 160.02/160.15 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)).
% 160.02/160.15 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).
% 160.02/160.15 0 [] c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 160.02/160.15 0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x)=V_x.
% 160.02/160.15 0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A)=V_A.
% 160.02/160.15 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).
% 160.02/160.15 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).
% 160.02/160.15 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).
% 160.02/160.15 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).
% 160.02/160.15 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).
% 160.02/160.15 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).
% 160.02/160.15 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)).
% 160.02/160.15 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)).
% 160.02/160.15 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)).
% 160.02/160.15 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).
% 160.02/160.15 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 160.02/160.15 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 160.02/160.15 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).
% 160.02/160.15 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)).
% 160.02/160.15 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)).
% 160.02/160.15 0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 160.02/160.15 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)).
% 160.02/160.15 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)).
% 160.02/160.15 0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 160.02/160.15 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)).
% 160.02/160.15 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).
% 160.02/160.15 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)).
% 160.02/160.15 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 160.02/160.15 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 160.02/160.15 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)).
% 160.02/160.15 0 [] c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 160.02/160.15 0 [] c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 160.02/160.15 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)).
% 160.02/160.15 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).
% 160.02/160.15 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 160.02/160.15 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 160.02/160.15 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 160.02/160.15 0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))| -hBOOL(c_in(V_a,V_B,T_a)).
% 160.02/160.15 0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))| -hBOOL(c_in(V_a,V_A,T_a)).
% 160.02/160.15 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)).
% 160.02/160.15 0 [] c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))).
% 160.02/160.15 0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))).
% 160.02/160.15 0 [] c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(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_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).
% 160.02/160.15 0 [] hAPP(V_Sup,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))=V_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).
% 160.02/160.15 0 [] hAPP(V_Inf,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))=V_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).
% 160.02/160.15 0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)).
% 160.02/160.15 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)).
% 160.02/160.15 0 [] V_A=c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)).
% 160.02/160.15 0 [] c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)).
% 160.02/160.15 0 [] c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))).
% 160.02/160.15 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)).
% 160.02/160.15 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))).
% 160.02/160.15 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)).
% 160.02/160.15 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)).
% 160.02/160.15 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)).
% 160.02/160.15 0 [] c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A| -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)).
% 160.02/160.15 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y_H,V_x_H,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 160.02/160.15 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_y_H,V_x_H,T_a).
% 160.02/160.15 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 160.02/160.15 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a).
% 160.02/160.15 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)).
% 160.02/160.15 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)).
% 160.02/160.15 0 [] c_Collect(c_fe_qual(V_a,T_a),T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 160.02/160.15 0 [] c_lesse_quals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_D,tc_fun(T_a,tc_bool)).
% 160.02/160.15 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).
% 160.02/160.15 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|V_a=V_b| -c_lesse_quals(V_b,V_a,T_a).
% 160.02/160.15 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_lesse_quals(V_b,V_a,T_a)|V_a=V_b.
% 160.02/160.15 0 [] c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))|V_A=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 160.02/160.15 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 160.02/160.15 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 160.02/160.15 0 [] V_A=V_B|c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 160.02/160.15 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)|V_a=V_b| -c_lesse_quals(V_a,V_b,T_a).
% 160.02/160.15 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a)|V_a=V_b.
% 160.02/160.15 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 160.02/160.15 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 160.02/160.15 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)).
% 160.02/160.15 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)).
% 160.02/160.15 0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 160.02/160.15 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 160.02/160.15 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 160.02/160.15 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 160.02/160.15 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 160.02/160.15 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)).
% 160.02/160.15 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)).
% 160.02/160.15 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)).
% 160.02/160.15 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).
% 160.02/160.15 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).
% 160.02/160.15 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Collect(V_P,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 160.02/160.15 0 [] c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_r,T_a).
% 160.02/160.15 0 [] c_Finite__Set_Ofold__image(V_f,V_g,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b)=V_z.
% 160.02/160.15 0 [] -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 160.02/160.15 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)).
% 160.02/160.15 0 [] -hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 160.02/160.15 0 [] -hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 160.02/160.15 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 160.02/160.15 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.
% 160.02/160.15 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)).
% 160.02/160.15 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)).
% 160.02/160.15 0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_b=V_c|V_b=V_d.
% 160.02/160.15 0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_a=V_d|V_b=V_d.
% 160.02/160.15 0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_b=V_c|V_a=V_c.
% 160.02/160.15 0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_a=V_d|V_a=V_c.
% 160.02/160.15 0 [] c_Collect(V_P,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 160.02/160.15 0 [] -c_Wellfounded_Omax__extp(V_R,V_a1,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a).
% 160.02/160.15 0 [] -c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x,T_a).
% 160.02/160.15 0 [] c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 160.02/160.15 0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 160.02/160.15 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a).
% 160.02/160.15 0 [] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 160.02/160.15 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.
% 160.02/160.15 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.
% 160.02/160.15 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.
% 160.02/160.15 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.
% 160.02/160.15 0 [] -c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 160.02/160.15 0 [] c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 160.02/160.15 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 160.02/160.15 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).
% 160.02/160.15 0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 160.02/160.15 0 [] V_x=V_z| -c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x,T_a,T_b).
% 160.02/160.15 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)).
% 160.02/160.15 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)).
% 160.02/160.15 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).
% 160.02/160.15 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).
% 160.02/160.15 0 [] c_Relation_OImage(V_R,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 160.02/160.15 0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 160.02/160.15 0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 160.02/160.15 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 160.02/160.15 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)).
% 160.02/160.15 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).
% 160.02/160.15 0 [] c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a).
% 160.02/160.15 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)).
% 160.02/160.15 0 [] c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b).
% 160.02/160.15 0 [] c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)!=c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_a=V_b.
% 160.02/160.15 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)).
% 160.02/160.15 0 [] c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b).
% 160.02/160.15 0 [] c_Nitpick_Ofold__graph_H(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b).
% 160.02/160.15 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)).
% 160.02/160.15 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)).
% 160.02/160.15 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).
% 160.02/160.15 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).
% 160.02/160.15 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).
% 160.02/160.15 0 [] c_Fun_Ooverride__on(V_f,V_g,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b)=V_f.
% 160.02/160.15 0 [] -c_Hoare__Mirabelle_Ohoare__valids(v_Ga,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a).
% 160.02/160.15 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 160.02/160.15 0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 160.02/160.15 0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 160.02/160.15 0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 160.02/160.15 0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 160.02/160.15 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).
% 160.02/160.15 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 160.02/160.15 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 160.02/160.15 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 160.02/160.15 0 [] class_Orderings_Otop(tc_fun(T_2,T_1))| -class_Orderings_Otop(T_1).
% 160.02/160.15 0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 160.02/160.15 0 [] class_HOL_Ominus(tc_fun(T_2,T_1))| -class_HOL_Ominus(T_1).
% 160.02/160.15 0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 160.02/160.15 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 160.02/160.15 0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 160.02/160.15 0 [] class_Lattices_Olower__semilattice(tc_bool).
% 160.02/160.15 0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 160.02/160.15 0 [] class_Lattices_Obounded__lattice(tc_bool).
% 160.02/160.15 0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 160.02/160.15 0 [] class_Orderings_Opreorder(tc_bool).
% 160.02/160.15 0 [] class_Lattices_Olattice(tc_bool).
% 160.02/160.15 0 [] class_Orderings_Oorder(tc_bool).
% 160.02/160.15 0 [] class_Orderings_Otop(tc_bool).
% 160.02/160.15 0 [] class_Orderings_Obot(tc_bool).
% 160.02/160.15 0 [] class_HOL_Ominus(tc_bool).
% 160.02/160.15 0 [] class_HOL_Oord(tc_bool).
% 160.02/160.15 0 [] hBOOL(hAPP(c_fe_qual(V_x,T_a),V_x)).
% 160.02/160.15 0 [] V_X=V_Y| -hBOOL(hAPP(c_fe_qual(V_X,T_a),V_Y)).
% 160.02/160.15 end_of_list.
% 160.02/160.15
% 160.02/160.15 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 160.02/160.15
% 160.02/160.15 This ia a non-Horn set with equality. The strategy will be
% 160.02/160.15 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 160.02/160.15 deletion, with positive clauses in sos and nonpositive
% 160.02/160.15 clauses in usable.
% 160.02/160.15
% 160.02/160.15 dependent: set(knuth_bendix).
% 160.02/160.15 dependent: set(anl_eq).
% 160.02/160.15 dependent: set(para_from).
% 160.02/160.15 dependent: set(para_into).
% 160.02/160.15 dependent: clear(para_from_right).
% 160.02/160.15 dependent: clear(para_into_right).
% 160.02/160.15 dependent: set(para_from_vars).
% 160.02/160.15 dependent: set(eq_units_both_ways).
% 160.02/160.15 dependent: set(dynamic_demod_all).
% 160.02/160.15 dependent: set(dynamic_demod).
% 160.02/160.15 dependent: set(order_eq).
% 160.02/160.15 dependent: set(back_demod).
% 160.02/160.15 dependent: set(lrpo).
% 160.02/160.15 dependent: set(hyper_res).
% 160.02/160.15 dependent: set(unit_deletion).
% 160.02/160.15 dependent: set(factor).
% 160.02/160.15
% 160.02/160.15 ------------> process usable:
% 160.02/160.15 ** KEPT (pick-wt=26): 1 [] 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.
% 160.02/160.15 ** KEPT (pick-wt=15): 2 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),C)).
% 160.02/160.15 ** KEPT (pick-wt=9): 3 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Set_Oinsert(C,A,B),B).
% 160.02/160.15 ** KEPT (pick-wt=9): 4 [] c_Finite__Set_Ofinite(c_Set_Oinsert(A,B,C),C)| -c_Finite__Set_Ofinite(B,C).
% 160.02/160.15 ** KEPT (pick-wt=34): 5 [] c_Finite__Set_Ofold__graph(A,B,C,hAPP(hAPP(A,D),E),F,G)| -hBOOL(c_in(D,C,F))| -c_Finite__Set_Ofold__graph(A,B,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(F,tc_bool)),F),tc_fun(F,tc_bool)),E,F,G).
% 160.02/160.15 ** KEPT (pick-wt=37): 6 [] 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).
% 160.02/160.15 ** KEPT (pick-wt=28): 7 [] hAPP(A,c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D))=hAPP(hAPP(E,B),C)| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,D).
% 160.02/160.15 ** KEPT (pick-wt=28): 8 [] hAPP(A,c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D))=hAPP(hAPP(E,B),C)| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,D).
% 160.02/160.15 ** KEPT (pick-wt=16): 9 [] 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).
% 160.02/160.15 Following clause subsumed by 9 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).
% 160.02/160.15 ** KEPT (pick-wt=15): 10 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool)),C)).
% 160.02/160.15 ** KEPT (pick-wt=14): 11 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 160.02/160.15 ** KEPT (pick-wt=14): 12 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C)| -c_Finite__Set_Ofinite(B,C).
% 160.02/160.15 ** KEPT (pick-wt=14): 13 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,C,tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(C,B).
% 160.02/160.15 ** KEPT (pick-wt=12): 14 [] -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).
% 160.02/160.15 ** KEPT (pick-wt=12): 15 [] -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).
% 160.02/160.15 ** KEPT (pick-wt=17): 17 [copy,16,flip.2] -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_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(B,C,A),A).
% 160.02/160.15 ** KEPT (pick-wt=14): 18 [] A=B| -c_Finite__Set_Ofold1Set(C,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),B,D).
% 160.02/160.15 ** KEPT (pick-wt=19): 19 [] 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).
% 160.02/160.15 ** KEPT (pick-wt=37): 20 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(c_in(B,A,D))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool))| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)).
% 160.02/160.15 ** KEPT (pick-wt=15): 21 [] c_Fun_Oinj__on(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D,E)| -c_Fun_Oinj__on(A,B,D,E).
% 160.02/160.15 ** KEPT (pick-wt=25): 22 [] -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).
% 160.02/160.15 ** KEPT (pick-wt=11): 23 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C).
% 160.02/160.15 ** KEPT (pick-wt=36): 24 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(c_in(B,A,D))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool))|hBOOL(c_in(B,C,D)).
% 160.02/160.15 ** KEPT (pick-wt=36): 25 [] c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -hBOOL(c_in(B,A,C))|hBOOL(c_in(B,D,C))| -c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)).
% 160.02/160.15 ** KEPT (pick-wt=18): 26 [] 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).
% 160.02/160.15 ** KEPT (pick-wt=18): 27 [] 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).
% 160.02/160.15 ** KEPT (pick-wt=20): 28 [] c_Finite__Set_Ofold1Set(A,c_Set_Oinsert(B,C,D),E,D)|hBOOL(c_in(B,C,D))| -c_Finite__Set_Ofold__graph(A,B,C,E,D,D).
% 160.02/160.15 ** KEPT (pick-wt=15): 29 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool)).
% 160.02/160.15 ** KEPT (pick-wt=15): 30 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Set_Oinsert(D,A,C),B,tc_fun(C,tc_bool)).
% 160.02/160.15 ** KEPT (pick-wt=21): 31 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)).
% 160.02/160.15 ** KEPT (pick-wt=13): 32 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Set_Oinsert(E,B,C),C,D).
% 160.02/160.15 ** KEPT (pick-wt=28): 33 [] 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).
% 160.02/160.15 ** KEPT (pick-wt=28): 34 [] 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).
% 160.02/160.15 ** KEPT (pick-wt=31): 35 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(c_in(B,A,D))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 160.02/160.15 Following clause subsumed by 35 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(c_in(B,A,D))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 160.02/160.15 ** KEPT (pick-wt=31): 36 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -hBOOL(c_in(B,A,C))| -c_lesse_quals(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)).
% 160.02/160.15 ** KEPT (pick-wt=46): 37 [] 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).
% 160.02/160.15 ** KEPT (pick-wt=16): 38 [] 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).
% 160.02/160.15 ** KEPT (pick-wt=22): 39 [] 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)).
% 160.02/160.15 ** KEPT (pick-wt=14): 40 [] A=B| -hBOOL(c_in(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)).
% 160.02/160.15 ** KEPT (pick-wt=10): 41 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofold__graph(C,D,A,E,B,F).
% 160.02/160.15 ** KEPT (pick-wt=21): 42 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))=B.
% 160.02/160.15 ** KEPT (pick-wt=23): 43 [] -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)).
% 160.02/160.15 ** KEPT (pick-wt=30): 45 [copy,44,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)).
% 160.02/160.15 ** KEPT (pick-wt=30): 46 [] -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)).
% 160.02/160.15 ** KEPT (pick-wt=18): 47 [] 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)).
% 160.02/160.15 ** KEPT (pick-wt=18): 48 [] 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).
% 160.02/160.15 ** KEPT (pick-wt=10): 49 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),B)=B.
% 160.02/160.15 ** KEPT (pick-wt=14): 50 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 160.02/160.15 ** KEPT (pick-wt=18): 51 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(D,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(A,D,tc_fun(C,tc_bool)).
% 160.02/160.15 ** KEPT (pick-wt=16): 52 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_HOL_Oord__class_Oless(D,B,tc_fun(C,tc_bool)).
% 160.02/160.15 ** KEPT (pick-wt=14): 53 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(D,C,A).
% 160.02/160.15 ** KEPT (pick-wt=35): 54 [] c_Fun_Oinj__on(A,c_Set_Oinsert(B,C,D),D,E)|hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),D,E),E))| -c_Fun_Oinj__on(A,C,D,E).
% 160.02/160.15 ** KEPT (pick-wt=9): 55 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(B,A)).
% 160.02/160.15 ** KEPT (pick-wt=9): 56 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,A,C)).
% 160.02/160.15 ** KEPT (pick-wt=53): 57 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Set_Oimage(B,c_HOL_Ominus__class_Ominus(C,D,tc_fun(E,tc_bool)),E,A)),c_Set_Oimage(B,c_HOL_Ominus__class_Ominus(D,C,tc_fun(E,tc_bool)),E,A))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Fun_Oinj__on(B,D,E,A)| -c_Fun_Oinj__on(B,C,E,A)|c_Fun_Oinj__on(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),C),D),E,A).
% 160.02/160.15 ** KEPT (pick-wt=43): 58 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Set_Oimage(B,c_HOL_Ominus__class_Ominus(C,D,tc_fun(E,tc_bool)),E,A)),c_Set_Oimage(B,c_HOL_Ominus__class_Ominus(D,C,tc_fun(E,tc_bool)),E,A))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Fun_Oinj__on(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),C),D),E,A).
% 160.02/160.15 ** KEPT (pick-wt=10): 59 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 160.02/160.15 ** KEPT (pick-wt=10): 60 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,B,A)| -c_HOL_Oord__class_Oless(B,B,A).
% 160.02/160.15 Following clause subsumed by 59 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lesse_quals(B,B,A).
% 160.02/160.15 ** KEPT (pick-wt=10): 61 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(C,B,A).
% 160.02/160.15 Following clause subsumed by 59 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 160.02/160.15 Following clause subsumed by 61 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 160.02/160.15 Following clause subsumed by 59 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 160.02/160.15 ** KEPT (pick-wt=14): 62 [] -class_HOL_Oord(A)| -c_lesse_quals(B,C,tc_fun(D,A))| -c_HOL_Oord__class_Oless(C,B,tc_fun(D,A)).
% 160.02/160.15 ** KEPT (pick-wt=10): 63 [] -class_Orderings_Opreorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 160.02/160.15 ** KEPT (pick-wt=17): 64 [] -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).
% 160.02/160.15 ** KEPT (pick-wt=14): 65 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 160.02/160.15 ** KEPT (pick-wt=14): 66 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 160.02/160.15 ** KEPT (pick-wt=25): 67 [] -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)).
% 160.02/160.15 ** KEPT (pick-wt=25): 68 [] -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)).
% 160.02/160.15 ** KEPT (pick-wt=25): 69 [] -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)).
% 160.02/160.15 ** KEPT (pick-wt=25): 70 [] -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)).
% 160.02/160.15 ** KEPT (pick-wt=17): 71 [] 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)).
% 160.02/160.15 ** KEPT (pick-wt=17): 72 [] 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)).
% 160.02/160.15 ** KEPT (pick-wt=25): 73 [] 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).
% 160.02/160.15 Following clause subsumed by 73 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.
% 160.02/160.15 Following clause subsumed by 73 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.
% 160.02/160.15 Following clause subsumed by 73 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)).
% 160.02/160.15 ** KEPT (pick-wt=16): 74 [] 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)).
% 160.02/160.15 ** KEPT (pick-wt=16): 75 [] 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)).
% 160.02/160.15 ** KEPT (pick-wt=14): 76 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=B| -c_lesse_quals(B,C,A).
% 160.02/160.15 ** KEPT (pick-wt=37): 77 [] 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)).
% 160.02/160.15 ** KEPT (pick-wt=37): 78 [] 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)).
% 160.02/160.15 ** KEPT (pick-wt=24): 79 [] 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).
% 160.02/160.15 ** KEPT (pick-wt=24): 80 [] 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).
% 160.02/160.15 ** KEPT (pick-wt=17): 81 [] hAPP(c_Fun_Ooverride__on(A,B,C,D,E),F)=hAPP(B,F)| -hBOOL(c_in(F,C,D)).
% 160.02/160.15 ** KEPT (pick-wt=18): 82 [] 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.
% 160.02/160.15 ** KEPT (pick-wt=19): 83 [] 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)).
% 160.02/160.15 ** KEPT (pick-wt=15): 84 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(C,D)).
% 160.02/160.15 ** KEPT (pick-wt=15): 85 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(B,D)).
% 160.02/160.15 ** KEPT (pick-wt=25): 86 [] 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).
% 160.02/160.15 ** KEPT (pick-wt=22): 87 [] 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)).
% 160.02/160.15 ** KEPT (pick-wt=25): 88 [] -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)).
% 160.02/160.15 ** KEPT (pick-wt=25): 89 [] -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)).
% 160.02/160.15 ** KEPT (pick-wt=25): 90 [] -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)).
% 160.02/160.16 ** KEPT (pick-wt=25): 91 [] -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)).
% 160.02/160.16 ** 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)),A),C),B).
% 160.02/160.16 ** KEPT (pick-wt=13): 93 [] 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).
% 160.02/160.16 ** KEPT (pick-wt=22): 94 [] 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.
% 160.02/160.16 ** KEPT (pick-wt=15): 95 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=15): 96 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=25): 97 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C))|hBOOL(c_in(D,B,C))| -c_HOL_Oord__class_Oless(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 160.02/160.16 ** KEPT (pick-wt=25): 98 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|hBOOL(c_in(B,A,D))|hBOOL(c_in(B,C,D)).
% 160.02/160.16 ** KEPT (pick-wt=20): 99 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -hBOOL(c_in(D,B,C))| -c_HOL_Oord__class_Oless(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 160.02/160.16 ** KEPT (pick-wt=20): 100 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(c_in(B,C,D))| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)).
% 160.02/160.16 ** KEPT (pick-wt=28): 102 [copy,101,flip.2] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(A),C,D,A,A))=c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(A),C,c_Set_Oinsert(B,D,A),A,A)| -c_Finite__Set_Ofinite(D,A).
% 160.02/160.16 ** KEPT (pick-wt=28): 103 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(E,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 160.02/160.16 ** KEPT (pick-wt=23): 104 [] -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)).
% 160.02/160.16 ** KEPT (pick-wt=11): 105 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),c_Orderings_Otop__class_Otop(A))=B.
% 160.02/160.16 ** KEPT (pick-wt=11): 106 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_Orderings_Otop__class_Otop(A)),B)=B.
% 160.02/160.16 ** KEPT (pick-wt=31): 107 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=14): 108 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 160.02/160.16 ** KEPT (pick-wt=6): 109 [] -c_HOL_Oord__class_Oless(A,A,tc_fun(B,tc_bool)).
% 160.02/160.16 ** KEPT (pick-wt=20): 110 [] -class_HOL_Oord(A)|c_HOL_Oord__class_Oless(B,C,tc_fun(D,A))|c_lesse_quals(C,B,tc_fun(D,A))| -c_lesse_quals(B,C,tc_fun(D,A)).
% 160.02/160.16 ** KEPT (pick-wt=6): 111 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 160.02/160.16 ** KEPT (pick-wt=6): 112 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 160.02/160.16 ** KEPT (pick-wt=6): 113 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 160.02/160.16 ** KEPT (pick-wt=15): 114 [] -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.
% 160.02/160.16 ** KEPT (pick-wt=16): 115 [] hBOOL(c_in(A,B,C))|A=D| -hBOOL(c_in(A,c_Set_Oinsert(D,B,C),C)).
% 160.02/160.16 ** KEPT (pick-wt=11): 116 [] -class_Orderings_Otop(A)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,A)),v_x)=c_Orderings_Otop__class_Otop(A).
% 160.02/160.16 ** KEPT (pick-wt=28): 118 [copy,117,flip.2] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(A),C,D,A,A))=c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(A),C,c_Set_Oinsert(B,D,A),A,A)| -c_Finite__Set_Ofinite(D,A).
% 160.02/160.16 ** KEPT (pick-wt=13): 119 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 160.02/160.16 ** KEPT (pick-wt=13): 120 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 160.02/160.16 ** KEPT (pick-wt=15): 121 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 160.02/160.16 Following clause subsumed by 121 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)).
% 160.02/160.16 ** KEPT (pick-wt=13): 122 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 160.02/160.16 Following clause subsumed by 120 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 160.02/160.16 Following clause subsumed by 122 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 160.02/160.16 Following clause subsumed by 122 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 160.02/160.16 Following clause subsumed by 120 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 160.02/160.16 Following clause subsumed by 120 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 160.02/160.16 ** KEPT (pick-wt=15): 123 [] -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.
% 160.02/160.16 ** KEPT (pick-wt=15): 124 [] -class_Lattices_Olower__semilattice(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A)| -c_HOL_Oord__class_Oless(C,D,A).
% 160.02/160.16 ** KEPT (pick-wt=15): 125 [] -class_Lattices_Olower__semilattice(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 160.02/160.16 ** KEPT (pick-wt=12): 126 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool)).
% 160.02/160.16 ** KEPT (pick-wt=14): 127 [] -class_HOL_Oord(A)|c_lesse_quals(B,C,tc_fun(D,A))| -c_HOL_Oord__class_Oless(B,C,tc_fun(D,A)).
% 160.02/160.16 ** KEPT (pick-wt=10): 128 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 160.02/160.16 ** KEPT (pick-wt=10): 129 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 160.02/160.16 ** KEPT (pick-wt=14): 130 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=B| -c_lesse_quals(C,B,A).
% 160.02/160.16 ** KEPT (pick-wt=14): 131 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=C|c_lesse_quals(B,C,A).
% 160.02/160.16 ** KEPT (pick-wt=14): 132 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=C| -c_lesse_quals(B,C,A).
% 160.02/160.16 ** KEPT (pick-wt=16): 133 [] 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)).
% 160.02/160.16 ** KEPT (pick-wt=16): 134 [] 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)).
% 160.02/160.16 ** KEPT (pick-wt=16): 135 [] 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)).
% 160.02/160.16 ** KEPT (pick-wt=10): 136 [] c_Finite__Set_Ofinite(c_Set_Oimage(A,B,C,D),D)| -c_Finite__Set_Ofinite(B,C).
% 160.02/160.16 ** KEPT (pick-wt=26): 137 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|hBOOL(c_in(B,A,D))| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)).
% 160.02/160.16 ** KEPT (pick-wt=24): 138 [] hAPP(A,c_Set_Oinsert(B,C,D))=hAPP(hAPP(E,B),hAPP(A,C))| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,D).
% 160.02/160.16 ** KEPT (pick-wt=24): 139 [] hAPP(A,c_Set_Oinsert(B,C,D))=hAPP(hAPP(E,B),hAPP(A,C))| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,D).
% 160.02/160.16 ** KEPT (pick-wt=12): 140 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C)| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C).
% 160.02/160.16 ** KEPT (pick-wt=28): 141 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Set_Oinsert(B,C,A)),D)=c_Set_Oinsert(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),A)| -hBOOL(c_in(B,D,A)).
% 160.02/160.16 ** KEPT (pick-wt=28): 142 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A))=c_Set_Oinsert(C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),A)| -hBOOL(c_in(C,B,A)).
% 160.02/160.16 ** KEPT (pick-wt=32): 143 [] 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)).
% 160.02/160.16 ** KEPT (pick-wt=20): 144 [] hAPP(A,B)=C| -hBOOL(c_in(B,c_Set_Ovimage(A,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),E,D),E)).
% 160.02/160.16 ** KEPT (pick-wt=11): 145 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),B,A).
% 160.02/160.16 ** KEPT (pick-wt=11): 146 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),C,A).
% 160.02/160.16 ** KEPT (pick-wt=19): 147 [] -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).
% 160.02/160.16 Following clause subsumed by 147 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).
% 160.02/160.16 Following clause subsumed by 147 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).
% 160.02/160.16 ** KEPT (pick-wt=11): 148 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),C,A).
% 160.02/160.16 ** KEPT (pick-wt=11): 149 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),B,A).
% 160.02/160.16 ** KEPT (pick-wt=25): 150 [] 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)).
% 160.02/160.16 Following clause subsumed by 150 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)).
% 160.02/160.16 ** KEPT (pick-wt=14): 151 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)!=B|c_lesse_quals(B,C,A).
% 160.02/160.16 ** KEPT (pick-wt=14): 152 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=C| -c_lesse_quals(C,B,A).
% 160.02/160.16 ** KEPT (pick-wt=25): 153 [] 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)).
% 160.02/160.16 Following clause subsumed by 153 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)).
% 160.02/160.16 ** KEPT (pick-wt=19): 154 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=11): 155 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),A).
% 160.02/160.16 ** KEPT (pick-wt=11): 156 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B),A).
% 160.02/160.16 Following clause subsumed by 154 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).
% 160.02/160.16 Following clause subsumed by 154 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).
% 160.02/160.16 ** KEPT (pick-wt=11): 157 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B),A).
% 160.02/160.16 ** 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).
% 160.02/160.16 ** KEPT (pick-wt=15): 159 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=15): 160 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=21): 161 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,B,tc_fun(A,tc_bool)))=C| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 160.02/160.16 ** KEPT (pick-wt=31): 162 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=37): 163 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool))|hBOOL(c_in(B,C,D)).
% 160.02/160.16 ** KEPT (pick-wt=11): 164 [] hBOOL(c_in(A,c_Collect(B,C),C))| -hBOOL(hAPP(B,A)).
% 160.02/160.16 ** KEPT (pick-wt=11): 165 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Collect(A,C),C)).
% 160.02/160.16 ** KEPT (pick-wt=14): 166 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(c_in(A,B,C)).
% 160.02/160.16 ** KEPT (pick-wt=20): 167 [] hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D))|hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 160.02/160.16 Following clause subsumed by 167 during input processing: 0 [] hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D))|hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 160.02/160.16 ** KEPT (pick-wt=33): 168 [] c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D,E)=c_HOL_Ominus__class_Ominus(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool))| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,E).
% 160.02/160.16 ** KEPT (pick-wt=14): 169 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(c_Set_Oinsert(A,D,C),B,tc_fun(C,tc_bool)).
% 160.02/160.16 ** KEPT (pick-wt=11): 170 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 160.02/160.16 ** KEPT (pick-wt=21): 171 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,C,D,E)| -hBOOL(c_in(B,C,D)).
% 160.02/160.16 Following clause subsumed by 29 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|hBOOL(c_in(B,A,D)).
% 160.02/160.16 ** KEPT (pick-wt=20): 172 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 160.02/160.16 Following clause subsumed by 29 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|hBOOL(c_in(B,A,D)).
% 160.02/160.16 Following clause subsumed by 172 during input processing: 0 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C)).
% 160.02/160.16 ** KEPT (pick-wt=22): 173 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|hBOOL(c_in(A,D,C))|hBOOL(c_in(A,B,C))|B=D.
% 160.02/160.16 ** KEPT (pick-wt=20): 174 [] 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)).
% 160.02/160.16 ** KEPT (pick-wt=19): 175 [] -class_HOL_Ominus(A)|hAPP(c_HOL_Ominus__class_Ominus(B,C,tc_fun(t_a,A)),v_x)=c_HOL_Ominus__class_Ominus(hAPP(B,v_x),hAPP(C,v_x),A).
% 160.02/160.16 ** KEPT (pick-wt=19): 176 [] 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)).
% 160.02/160.16 ** KEPT (pick-wt=19): 177 [] 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)).
% 160.02/160.16 ** KEPT (pick-wt=15): 178 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=15): 179 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=15): 180 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=15): 181 [] -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).
% 160.02/160.16 Following clause subsumed by 178 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).
% 160.02/160.16 Following clause subsumed by 179 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).
% 160.02/160.16 ** KEPT (pick-wt=25): 182 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=16): 183 [] hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 160.02/160.16 Following clause subsumed by 183 during input processing: 0 [] hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 160.02/160.16 Following clause subsumed by 183 during input processing: 0 [] hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 160.02/160.16 ** KEPT (pick-wt=16): 184 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,c_Set_Ovimage(A,C,E,D),E)).
% 160.02/160.16 Following clause subsumed by 184 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,c_Set_Ovimage(A,C,E,D),E)).
% 160.02/160.16 ** KEPT (pick-wt=23): 185 [] 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).
% 160.02/160.16 ** KEPT (pick-wt=23): 186 [] 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).
% 160.02/160.16 ** KEPT (pick-wt=38): 187 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool))| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)).
% 160.02/160.16 ** KEPT (pick-wt=15): 188 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=15): 189 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=11): 190 [] c_Set_Oinsert(A,B,C)=B| -hBOOL(c_in(A,B,C)).
% 160.02/160.16 ** KEPT (pick-wt=20): 191 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=20): 192 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=5): 193 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 160.02/160.16 ** KEPT (pick-wt=26): 194 [] c_Finite__Set_Ofold__graph(A,B,c_Set_Oinsert(C,D,E),hAPP(hAPP(A,C),F),E,G)| -c_Finite__Set_Ofold__graph(A,B,D,F,E,G)|hBOOL(c_in(C,D,E)).
% 160.02/160.16 Following clause subsumed by 72 during input processing: 0 [] 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)).
% 160.02/160.16 ** KEPT (pick-wt=21): 195 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 160.02/160.16 ** KEPT (pick-wt=30): 196 [] -hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),D,E),E))| -c_Fun_Oinj__on(A,c_Set_Oinsert(B,C,D),D,E).
% 160.02/160.16 ** KEPT (pick-wt=34): 197 [] c_Nitpick_Ofold__graph_H(A,B,C,hAPP(hAPP(A,D),E),F,G)| -c_Nitpick_Ofold__graph_H(A,B,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(F,tc_bool)),F),tc_fun(F,tc_bool)),E,F,G)| -hBOOL(c_in(D,C,F)).
% 160.02/160.16 Following clause subsumed by 29 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 160.02/160.16 ** KEPT (pick-wt=15): 198 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),A),B)).
% 160.02/160.16 ** KEPT (pick-wt=15): 199 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),A),D),B)).
% 160.02/160.16 ** KEPT (pick-wt=18): 200 [] 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).
% 160.02/160.16 ** KEPT (pick-wt=17): 201 [] 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).
% 160.02/160.16 ** KEPT (pick-wt=17): 202 [] 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).
% 160.02/160.16 ** KEPT (pick-wt=28): 203 [] 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).
% 160.02/160.16 ** KEPT (pick-wt=11): 204 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=16): 205 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 160.02/160.16 Following clause subsumed by 205 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 160.02/160.16 Following clause subsumed by 205 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 160.02/160.16 Following clause subsumed by 205 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 160.02/160.16 ** KEPT (pick-wt=24): 206 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),B),D),tc_fun(C,tc_bool)).
% 160.02/160.16 ** KEPT (pick-wt=24): 207 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,C,tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 160.02/160.16 ** KEPT (pick-wt=8): 208 [] c_Finite__Set_Ofinite(A,t_a)| -c_Wellfounded_Omax__extp(B,C,A,t_a).
% 160.02/160.16 ** KEPT (pick-wt=8): 209 [] c_Finite__Set_Ofinite(A,t_a)| -c_Wellfounded_Omax__extp(B,A,C,t_a).
% 160.02/160.16 ** KEPT (pick-wt=15): 210 [] -class_Lattices_Oupper__semilattice(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A)| -c_HOL_Oord__class_Oless(B,C,A).
% 160.02/160.16 ** KEPT (pick-wt=15): 211 [] -class_Lattices_Oupper__semilattice(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 160.02/160.16 ** KEPT (pick-wt=13): 212 [] 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).
% 160.02/160.16 ** KEPT (pick-wt=13): 213 [] 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).
% 160.02/160.16 ** KEPT (pick-wt=16): 214 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 160.02/160.16 ** KEPT (pick-wt=7): 215 [] -class_Orderings_Otop(A)|c_lesse_quals(B,c_Orderings_Otop__class_Otop(A),A).
% 160.02/160.16 ** KEPT (pick-wt=30): 216 [] -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)).
% 160.02/160.16 ** KEPT (pick-wt=30): 218 [copy,217,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)).
% 160.02/160.16 ** KEPT (pick-wt=20): 219 [] c_lesse_quals(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)).
% 160.02/160.16 ** KEPT (pick-wt=20): 220 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=20): 221 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=27): 222 [] 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).
% 160.02/160.16 ** KEPT (pick-wt=27): 223 [] 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).
% 160.02/160.16 ** KEPT (pick-wt=23): 224 [] 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).
% 160.02/160.16 ** KEPT (pick-wt=23): 225 [] 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).
% 160.02/160.16 ** KEPT (pick-wt=19): 226 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)),C).
% 160.02/160.16 ** KEPT (pick-wt=19): 227 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool)),D)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),D).
% 160.02/160.16 Following clause subsumed by 193 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).
% 160.02/160.16 ** KEPT (pick-wt=17): 228 [] 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)).
% 160.02/160.16 ** KEPT (pick-wt=17): 229 [] 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)).
% 160.02/160.16 ** KEPT (pick-wt=21): 230 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=22): 231 [] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=B| -hBOOL(c_in(A,B,C)).
% 160.02/160.16 ** KEPT (pick-wt=10): 232 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),B)=B.
% 160.02/160.16 ** KEPT (pick-wt=15): 233 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=15): 234 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=15): 235 [] -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).
% 160.02/160.16 ** KEPT (pick-wt=15): 236 [] -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).
% 160.02/160.16 Following clause subsumed by 233 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).
% 160.02/160.16 Following clause subsumed by 234 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).
% 160.02/160.16 ** KEPT (pick-wt=19): 237 [] 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)).
% 160.02/160.16 ** KEPT (pick-wt=19): 238 [] 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)).
% 160.02/160.16 ** KEPT (pick-wt=23): 239 [] -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)).
% 160.02/160.16 ** KEPT (pick-wt=14): 240 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 160.02/160.16 ** KEPT (pick-wt=14): 241 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,D,A)| -c_HOL_Oord__class_Oless(D,C,A).
% 160.02/160.16 ** KEPT (pick-wt=14): 242 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_lesse_quals(D,C,A).
% 160.02/160.16 ** KEPT (pick-wt=14): 243 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 160.02/160.16 ** KEPT (pick-wt=16): 244 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 160.02/160.16 Following clause subsumed by 244 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)).
% 160.02/160.16 Following clause subsumed by 244 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)).
% 160.02/160.16 Following clause subsumed by 244 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)).
% 160.02/160.16 ** KEPT (pick-wt=18): 245 [] 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)).
% 160.02/160.16 ** KEPT (pick-wt=16): 246 [] 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).
% 160.02/160.16 ** KEPT (pick-wt=14): 247 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 160.02/160.16 ** KEPT (pick-wt=6): 248 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 160.02/160.16 ** KEPT (pick-wt=6): 249 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 160.02/160.16 ** KEPT (pick-wt=12): 250 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=18): 251 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(A,D,tc_fun(C,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=18): 252 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(D,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 160.02/160.17 Following clause subsumed by 247 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 160.02/160.17 Following clause subsumed by 250 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).
% 160.02/160.17 ** KEPT (pick-wt=14): 253 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_lesse_quals(B,D,A).
% 160.02/160.17 ** KEPT (pick-wt=14): 254 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(D,C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 160.02/160.17 ** KEPT (pick-wt=13): 255 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B.
% 160.02/160.17 ** KEPT (pick-wt=13): 256 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 160.02/160.17 Following clause subsumed by 256 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 160.02/160.17 ** KEPT (pick-wt=32): 257 [] 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)).
% 160.02/160.17 ** KEPT (pick-wt=42): 258 [] c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D,E)=c_HOL_Ominus__class_Ominus(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool))| -c_lesse_quals(C,F,tc_fun(D,tc_bool))| -c_lesse_quals(B,F,tc_fun(D,tc_bool))| -c_Fun_Oinj__on(A,F,D,E).
% 160.02/160.17 ** KEPT (pick-wt=21): 259 [] hAPP(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))=B| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,I,J,C).
% 160.02/160.17 ** KEPT (pick-wt=21): 260 [] hAPP(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))=B| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,I,J,C).
% 160.02/160.17 ** KEPT (pick-wt=23): 261 [] 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)).
% 160.02/160.17 ** KEPT (pick-wt=27): 262 [] A=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=14): 263 [] hBOOL(hAPP(A,hAPP(B,C)))| -hBOOL(hAPP(c_Set_Ovimage(B,A,D,E),C)).
% 160.02/160.17 ** KEPT (pick-wt=14): 264 [] hBOOL(hAPP(c_Set_Ovimage(A,B,C,D),E))| -hBOOL(hAPP(B,hAPP(A,E))).
% 160.02/160.17 ** KEPT (pick-wt=22): 265 [] 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)).
% 160.02/160.17 Following clause subsumed by 265 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)).
% 160.02/160.17 ** KEPT (pick-wt=19): 266 [] 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)).
% 160.02/160.17 ** KEPT (pick-wt=25): 267 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=C| -c_lesse_quals(A,B,tc_fun(D,tc_bool))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=19): 268 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(E,D,A)| -c_lesse_quals(C,B,A).
% 160.02/160.17 ** KEPT (pick-wt=19): 269 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(E,D,A).
% 160.02/160.17 ** KEPT (pick-wt=19): 270 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_HOL_Oord__class_Oless(D,E,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 160.02/160.17 ** KEPT (pick-wt=19): 271 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,E,A).
% 160.02/160.17 ** KEPT (pick-wt=20): 272 [] 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)).
% 160.02/160.17 Following clause subsumed by 272 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)).
% 160.02/160.17 ** KEPT (pick-wt=18): 273 [] c_lesse_quals(c_Set_Oinsert(A,B,C),c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=15): 274 [] 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).
% 160.02/160.17 ** KEPT (pick-wt=13): 275 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B| -c_lesse_quals(B,C,A).
% 160.02/160.17 Following clause subsumed by 275 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|C=B.
% 160.02/160.17 ** KEPT (pick-wt=15): 276 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))|A=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=13): 277 [] -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 160.02/160.17 Following clause subsumed by 277 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 160.02/160.17 Following clause subsumed by 276 during input processing: 0 [] A=B|c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 160.02/160.17 Following clause subsumed by 277 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 160.02/160.17 Following clause subsumed by 277 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|B=C.
% 160.02/160.17 ** KEPT (pick-wt=13): 278 [] -class_Orderings_Olinorder(A)|B=C| -c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(B,C,A).
% 160.02/160.17 Following clause subsumed by 278 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 160.02/160.17 ** KEPT (pick-wt=13): 279 [] -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)).
% 160.02/160.17 ** KEPT (pick-wt=10): 280 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 160.02/160.17 ** KEPT (pick-wt=10): 281 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 160.02/160.17 ** KEPT (pick-wt=10): 282 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 160.02/160.17 ** KEPT (pick-wt=10): 283 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 160.02/160.17 Following clause subsumed by 283 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 160.02/160.17 ** KEPT (pick-wt=16): 284 [] 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)).
% 160.02/160.17 ** KEPT (pick-wt=18): 285 [] 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).
% 160.02/160.17 ** KEPT (pick-wt=18): 286 [] 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).
% 160.02/160.17 ** KEPT (pick-wt=12): 287 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Collect(B,A)| -hBOOL(hAPP(B,C)).
% 160.02/160.17 ** KEPT (pick-wt=8): 288 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 160.02/160.17 Following clause subsumed by 288 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 160.02/160.17 Following clause subsumed by 288 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 160.02/160.17 Following clause subsumed by 288 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 160.02/160.17 ** KEPT (pick-wt=9): 289 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 160.02/160.17 ** KEPT (pick-wt=15): 290 [] 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)).
% 160.02/160.17 ** KEPT (pick-wt=27): 291 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|B=D|B=E.
% 160.02/160.17 ** KEPT (pick-wt=27): 292 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|A=E|B=E.
% 160.02/160.17 ** KEPT (pick-wt=27): 293 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|B=D|A=D.
% 160.02/160.17 ** KEPT (pick-wt=27): 294 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|A=E|A=D.
% 160.02/160.17 ** KEPT (pick-wt=12): 295 [] c_Collect(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(A,C)).
% 160.02/160.17 ** KEPT (pick-wt=8): 296 [] -c_Wellfounded_Omax__extp(A,B,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a).
% 160.02/160.17 ** KEPT (pick-wt=8): 297 [] -c_Finite__Set_Ofold1Set(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B).
% 160.02/160.17 ** KEPT (pick-wt=9): 298 [] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=7): 299 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 160.02/160.17 ** KEPT (pick-wt=11): 300 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),c_Orderings_Obot__class_Obot(A)),B)=B.
% 160.02/160.17 ** KEPT (pick-wt=11): 301 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Orderings_Obot__class_Obot(A))=B.
% 160.02/160.17 ** KEPT (pick-wt=9): 302 [] -c_HOL_Oord__class_Oless(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=11): 303 [] -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).
% 160.02/160.17 ** KEPT (pick-wt=13): 304 [] A=B| -c_Finite__Set_Ofold__graph(C,B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),A,D,E).
% 160.02/160.17 ** KEPT (pick-wt=12): 305 [] -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).
% 160.02/160.17 ** KEPT (pick-wt=12): 306 [] -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).
% 160.02/160.17 ** KEPT (pick-wt=9): 307 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=7): 308 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 160.02/160.17 ** KEPT (pick-wt=16): 309 [] 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)).
% 160.02/160.17 ** KEPT (pick-wt=11): 310 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 160.02/160.17 ** KEPT (pick-wt=18): 311 [] c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)!=c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)|A=C.
% 160.02/160.17 Following clause subsumed by 288 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 160.02/160.17 ** KEPT (pick-wt=19): 312 [] 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)).
% 160.02/160.17 ** KEPT (pick-wt=19): 313 [] 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)).
% 160.02/160.17 ** KEPT (pick-wt=15): 314 [] -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).
% 160.02/160.17 ** KEPT (pick-wt=15): 315 [] -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).
% 160.02/160.17 ** KEPT (pick-wt=8): 316 [] -c_Hoare__Mirabelle_Ohoare__valids(v_Ga,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a).
% 160.02/160.17 ** KEPT (pick-wt=6): 317 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 160.02/160.17 ** KEPT (pick-wt=6): 318 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 160.02/160.17 ** KEPT (pick-wt=6): 319 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 160.02/160.17 ** KEPT (pick-wt=6): 320 [] class_Lattices_Odistrib__lattice(tc_fun(A,B))| -class_Lattices_Odistrib__lattice(B).
% 160.02/160.17 ** KEPT (pick-wt=6): 321 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 160.02/160.17 ** KEPT (pick-wt=8): 322 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 160.02/160.17 ** KEPT (pick-wt=6): 323 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 160.02/160.17 ** KEPT (pick-wt=6): 324 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 160.02/160.17 ** KEPT (pick-wt=6): 325 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 160.02/160.17 ** KEPT (pick-wt=6): 326 [] class_Orderings_Otop(tc_fun(A,B))| -class_Orderings_Otop(B).
% 160.02/160.17 ** KEPT (pick-wt=6): 327 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 160.02/160.17 ** KEPT (pick-wt=6): 328 [] class_HOL_Ominus(tc_fun(A,B))| -class_HOL_Ominus(B).
% 160.02/160.17 ** KEPT (pick-wt=6): 329 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 160.02/160.17 ** KEPT (pick-wt=9): 330 [] A=B| -hBOOL(hAPP(c_fe_qual(A,C),B)).
% 160.02/160.17 23 back subsumes 12.
% 160.02/160.17 61 back subsumes 60.
% 160.02/160.17 205 back subsumes 80.
% 160.02/160.17 272 back subsumes 33.
% 160.02/160.17 Following clause subsumed by 307 during input processing: 0 [copy,289,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 160.02/160.17 Following clause subsumed by 289 during input processing: 0 [copy,307,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 160.02/160.17 307 back subsumes 166.
% 160.02/160.17
% 160.02/160.17 ------------> process sos:
% 160.02/160.17 ** KEPT (pick-wt=3): 362 [] A=A.
% 160.02/160.17 ** KEPT (pick-wt=9): 363 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=32): 364 [] 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)).
% 160.02/160.17 ** KEPT (pick-wt=12): 365 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 160.02/160.17 ---> New Demodulator: 366 [new_demod,365] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 160.02/160.17 ** KEPT (pick-wt=26): 367 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Set_Oinsert(B,C,A)),c_Set_Oinsert(B,D,A))=c_Set_Oinsert(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),A).
% 160.02/160.17 ---> New Demodulator: 368 [new_demod,367] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Set_Oinsert(B,C,A)),c_Set_Oinsert(B,D,A))=c_Set_Oinsert(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),A).
% 160.02/160.17 ** KEPT (pick-wt=17): 369 [] hBOOL(c_in(A,c_Set_Ovimage(B,c_Set_Oinsert(hAPP(B,A),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),D,C),D)).
% 160.02/160.17 ** KEPT (pick-wt=27): 370 [] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=27): 371 [] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=16): 372 [] 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)).
% 160.02/160.17 ---> New Demodulator: 373 [new_demod,372] 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)).
% 160.02/160.17 ** KEPT (pick-wt=16): 374 [] 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)).
% 160.02/160.17 ---> New Demodulator: 375 [new_demod,374] 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)).
% 160.02/160.17 ** KEPT (pick-wt=13): 376 [] c_Set_Ovimage(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),C,B)=c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=5): 377 [] c_Collect(A,B)=A.
% 160.02/160.17 ---> New Demodulator: 378 [new_demod,377] c_Collect(A,B)=A.
% 160.02/160.17 ** KEPT (pick-wt=14): 379 [] c_lesse_quals(c_Set_Oimage(A,c_Set_Ovimage(A,B,C,D),C,D),B,tc_fun(D,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=25): 380 [] c_Set_Ovimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),E,D)=c_HOL_Ominus__class_Ominus(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=23): 381 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A))=c_Set_Oinsert(C,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D),A).
% 160.02/160.17 ---> New Demodulator: 382 [new_demod,381] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A))=c_Set_Oinsert(C,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D),A).
% 160.02/160.17 ** KEPT (pick-wt=23): 383 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Set_Oinsert(B,C,A)),D)=c_Set_Oinsert(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D),A).
% 160.02/160.17 ---> New Demodulator: 384 [new_demod,383] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Set_Oinsert(B,C,A)),D)=c_Set_Oinsert(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D),A).
% 160.02/160.17 ** KEPT (pick-wt=17): 385 [] hAPP(c_Fun_Ooverride__on(A,B,C,D,E),F)=hAPP(A,F)|hBOOL(c_in(F,C,D)).
% 160.02/160.17 ** KEPT (pick-wt=38): 386 [] 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)).
% 160.02/160.17 ** KEPT (pick-wt=38): 388 [copy,387,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)).
% 160.02/160.17 ---> New Demodulator: 389 [new_demod,388] 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)).
% 160.02/160.17 ** KEPT (pick-wt=10): 390 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),B)=B.
% 160.02/160.17 ---> New Demodulator: 391 [new_demod,390] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),B)=B.
% 160.02/160.17 ** KEPT (pick-wt=29): 392 [] c_Relation_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_Relation_OImage(A,C,B,E)),c_Relation_OImage(A,D,B,E)).
% 160.02/160.17 ** KEPT (pick-wt=8): 393 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 160.02/160.17 Following clause subsumed by 393 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 160.02/160.17 Following clause subsumed by 393 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 160.02/160.17 ** KEPT (pick-wt=15): 394 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 160.02/160.17 ** KEPT (pick-wt=18): 395 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)).
% 160.02/160.17 ---> New Demodulator: 396 [new_demod,395] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=14): 397 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D),D)).
% 160.02/160.17 ** KEPT (pick-wt=28): 398 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool)),c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(B,E,tc_fun(C,tc_bool)),C,D),tc_fun(D,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=31): 399 [] 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)).
% 160.02/160.17 ** KEPT (pick-wt=31): 400 [] 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)).
% 160.02/160.17 ---> New Demodulator: 401 [new_demod,400] 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)).
% 160.02/160.17 ** KEPT (pick-wt=32): 402 [] c_lesse_quals(c_Relation_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_Relation_OImage(A,C,B,E)),c_Relation_OImage(A,D,B,E)),tc_fun(E,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=8): 403 [] hBOOL(c_in(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B)).
% 160.02/160.17 ** KEPT (pick-wt=31): 404 [] 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)).
% 160.02/160.17 ---> New Demodulator: 405 [new_demod,404] 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)).
% 160.02/160.17 ** KEPT (pick-wt=31): 406 [] 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)).
% 160.02/160.17 ** KEPT (pick-wt=34): 407 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(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),tc_fun(A,tc_bool)).
% 160.02/160.17 ---> New Demodulator: 408 [new_demod,407] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(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),tc_fun(A,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=34): 409 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),D)=c_HOL_Ominus__class_Ominus(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),tc_fun(A,tc_bool)).
% 160.02/160.17 ---> New Demodulator: 410 [new_demod,409] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),D)=c_HOL_Ominus__class_Ominus(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),tc_fun(A,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=13): 411 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))),B)=B.
% 160.02/160.17 ---> New Demodulator: 412 [new_demod,411] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))),B)=B.
% 160.02/160.17 ** KEPT (pick-wt=13): 413 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)))=B.
% 160.02/160.17 ---> New Demodulator: 414 [new_demod,413] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)))=B.
% 160.02/160.17 ** KEPT (pick-wt=25): 416 [copy,415,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).
% 160.02/160.17 ---> New Demodulator: 417 [new_demod,416] 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).
% 160.02/160.17 ** KEPT (pick-wt=34): 418 [] c_HOL_Ominus__class_Ominus(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),tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)).
% 160.02/160.17 ---> New Demodulator: 419 [new_demod,418] c_HOL_Ominus__class_Ominus(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),tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=7): 420 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B)).
% 160.02/160.17 ** KEPT (pick-wt=22): 421 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C))=B.
% 160.02/160.17 ---> New Demodulator: 422 [new_demod,421] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C))=B.
% 160.02/160.17 ** KEPT (pick-wt=14): 423 [] 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).
% 160.02/160.17 ---> New Demodulator: 424 [new_demod,423] 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).
% 160.02/160.17 ** KEPT (pick-wt=11): 425 [] c_Finite__Set_Ofold1Set(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,C).
% 160.02/160.17 ** KEPT (pick-wt=19): 427 [copy,426,flip.1] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 160.02/160.17 ---> New Demodulator: 428 [new_demod,427] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 160.02/160.17 ** KEPT (pick-wt=14): 429 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 160.02/160.17 ---> New Demodulator: 430 [new_demod,429] c_HOL_Ominus__class_Ominus(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=13): 431 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=13): 432 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),C,tc_fun(A,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=9): 433 [] c_lesse_quals(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=13): 434 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),A),tc_fun(B,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=13): 435 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),A),C),tc_fun(B,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=17): 436 [] 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).
% 160.02/160.17 ** KEPT (pick-wt=11): 437 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)).
% 160.02/160.17 ** KEPT (pick-wt=20): 438 [] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=c_Set_Oinsert(A,B,C).
% 160.02/160.17 ---> New Demodulator: 439 [new_demod,438] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=c_Set_Oinsert(A,B,C).
% 160.02/160.17 ** KEPT (pick-wt=73): 441 [copy,440,demod,401,405,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))).
% 160.02/160.17 ---> New Demodulator: 442 [new_demod,441] 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))).
% 160.02/160.17 ** KEPT (pick-wt=25): 443 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)|hBOOL(c_in(C,B,A)).
% 160.02/160.17 ** KEPT (pick-wt=25): 444 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Set_Oinsert(B,C,A)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)|hBOOL(c_in(B,D,A)).
% 160.02/160.17 ** KEPT (pick-wt=22): 445 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 160.02/160.18 ---> New Demodulator: 446 [new_demod,445] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 160.02/160.18 ** KEPT (pick-wt=22): 447 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,B,tc_fun(A,tc_bool)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 160.02/160.18 ---> New Demodulator: 448 [new_demod,447] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,B,tc_fun(A,tc_bool)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 160.02/160.18 ** KEPT (pick-wt=32): 450 [copy,449,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),c_HOL_Ominus__class_Ominus(D,C,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D),C,tc_fun(A,tc_bool)).
% 160.02/160.18 ---> New Demodulator: 451 [new_demod,450] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),c_HOL_Ominus__class_Ominus(D,C,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D),C,tc_fun(A,tc_bool)).
% 160.02/160.18 ** KEPT (pick-wt=17): 452 [] 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).
% 160.02/160.18 ** KEPT (pick-wt=19): 454 [copy,453,demod,384,flip.1] c_Set_Oinsert(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),C),B)=c_Set_Oinsert(A,C,B).
% 160.02/160.18 ---> New Demodulator: 455 [new_demod,454] c_Set_Oinsert(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),C),B)=c_Set_Oinsert(A,C,B).
% 160.02/160.18 ** KEPT (pick-wt=24): 456 [] 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).
% 160.02/160.18 ---> New Demodulator: 457 [new_demod,456] 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).
% 160.02/160.18 ** KEPT (pick-wt=25): 459 [copy,458,demod,408] c_HOL_Ominus__class_Ominus(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),B),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 160.02/160.18 ** KEPT (pick-wt=29): 460 [] 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)).
% 160.02/160.18 ** KEPT (pick-wt=24): 462 [copy,461,flip.1] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D)=c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool))|hBOOL(c_in(A,C,D)).
% 160.02/160.18 ** KEPT (pick-wt=22): 463 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,C),c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool))=B|hBOOL(c_in(A,B,C)).
% 160.02/160.18 ** KEPT (pick-wt=29): 464 [] 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)).
% 160.02/160.18 ** KEPT (pick-wt=38): 466 [copy,465,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)).
% 160.02/160.18 ---> New Demodulator: 467 [new_demod,466] 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)).
% 160.02/160.18 ** KEPT (pick-wt=38): 468 [] 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)).
% 160.02/160.18 ** KEPT (pick-wt=7): 469 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 160.02/160.18 ** KEPT (pick-wt=24): 470 [] 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).
% 160.02/160.18 ---> New Demodulator: 471 [new_demod,470] 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).
% 160.02/160.18 ** KEPT (pick-wt=10): 472 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B)=B.
% 160.02/160.18 ---> New Demodulator: 473 [new_demod,472] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B)=B.
% 160.02/160.18 ** KEPT (pick-wt=6): 474 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 160.02/160.18 Following clause subsumed by 474 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 160.02/160.18 ** KEPT (pick-wt=44): 476 [copy,475,demod,408,410,473,410,419] c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),A),tc_fun(B,tc_bool)),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),A),D),C,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 160.02/160.18 ** KEPT (pick-wt=34): 478 [copy,477,demod,408,flip.1] c_HOL_Ominus__class_Ominus(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),tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)).
% 160.02/160.18 ---> New Demodulator: 479 [new_demod,478] c_HOL_Ominus__class_Ominus(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),tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)).
% 160.02/160.18 Following clause subsumed by 393 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)).
% 160.02/160.18 ** KEPT (pick-wt=31): 481 [copy,480,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Set_Ovimage(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),A,D)),c_Set_Ovimage(B,E,A,D))=c_Set_Ovimage(B,c_Set_Oinsert(C,E,D),A,D).
% 160.02/160.18 ---> New Demodulator: 482 [new_demod,481] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Set_Ovimage(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),A,D)),c_Set_Ovimage(B,E,A,D))=c_Set_Ovimage(B,c_Set_Oinsert(C,E,D),A,D).
% 160.02/160.18 ** KEPT (pick-wt=32): 484 [copy,483,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),c_HOL_Ominus__class_Ominus(B,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),tc_fun(A,tc_bool)).
% 160.12/160.18 ---> New Demodulator: 485 [new_demod,484] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),c_HOL_Ominus__class_Ominus(B,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),tc_fun(A,tc_bool)).
% 160.12/160.18 ** KEPT (pick-wt=11): 487 [copy,486,demod,378] c_fe_qual(A,B)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 160.12/160.18 ** KEPT (pick-wt=29): 488 [] 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)).
% 160.12/160.18 ** KEPT (pick-wt=13): 489 [] 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)).
% 160.12/160.18 Following clause subsumed by 362 during input processing: 0 [demod,391] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 160.12/160.18 ** KEPT (pick-wt=7): 490 [] c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A).
% 160.12/160.18 ** KEPT (pick-wt=12): 491 [] c_Finite__Set_Ofold__image(A,B,C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),E,D)=C.
% 160.12/160.18 ---> New Demodulator: 492 [new_demod,491] c_Finite__Set_Ofold__image(A,B,C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),E,D)=C.
% 160.12/160.18 ** KEPT (pick-wt=11): 493 [] c_Finite__Set_Ofold(A,B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,D)=B.
% 160.12/160.18 ---> New Demodulator: 494 [new_demod,493] c_Finite__Set_Ofold(A,B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,D)=B.
% 160.12/160.18 Following clause subsumed by 474 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)).
% 160.12/160.18 ** KEPT (pick-wt=8): 495 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),B).
% 160.12/160.18 ** KEPT (pick-wt=14): 496 [] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 160.12/160.18 ---> New Demodulator: 497 [new_demod,496] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 160.12/160.18 ** KEPT (pick-wt=13): 498 [] 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.
% 160.12/160.18 ---> New Demodulator: 499 [new_demod,498] 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.
% 160.12/160.18 ** KEPT (pick-wt=13): 500 [] 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.
% 160.12/160.18 ---> New Demodulator: 501 [new_demod,500] 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.
% 160.12/160.18 ** KEPT (pick-wt=11): 502 [] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 160.12/160.18 ** KEPT (pick-wt=11): 503 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 160.12/160.18 ---> New Demodulator: 504 [new_demod,503] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 160.12/160.18 ** KEPT (pick-wt=6): 505 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 160.12/160.18 ** KEPT (pick-wt=16): 506 [] 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)).
% 160.12/160.18 ---> New Demodulator: 507 [new_demod,506] 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)).
% 160.12/160.18 ** KEPT (pick-wt=16): 508 [] 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)).
% 160.12/160.18 ---> New Demodulator: 509 [new_demod,508] 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)).
% 160.12/160.18 ** KEPT (pick-wt=13): 510 [] c_Relation_OImage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 160.12/160.18 ** KEPT (pick-wt=9): 511 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 160.12/160.18 Following clause subsumed by 394 during input processing: 0 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 160.12/160.18 ** KEPT (pick-wt=13): 512 [] 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)).
% 160.12/160.18 ** KEPT (pick-wt=8): 513 [] c_Fun_Oinj__on(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C).
% 160.12/160.18 ** KEPT (pick-wt=10): 514 [] c_Finite__Set_Ofold__graph(A,B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),B,C,D).
% 160.12/160.18 ** KEPT (pick-wt=10): 515 [] c_Nitpick_Ofold__graph_H(A,B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),B,C,D).
% 160.12/160.18 ** KEPT (pick-wt=13): 516 [] 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).
% 160.12/160.18 ** KEPT (pick-wt=11): 517 [] c_Fun_Ooverride__on(A,B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,D)=A.
% 160.12/160.18 ---> New Demodulator: 518 [new_demod,517] c_Fun_Ooverride__on(A,B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,D)=A.
% 160.12/160.18 ** KEPT (pick-wt=2): 519 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 160.12/160.18 ** KEPT (pick-wt=2): 520 [] class_Lattices_Oupper__semilattice(tc_bool).
% 160.12/160.18 ** KEPT (pick-wt=2): 521 [] class_Lattices_Olower__semilattice(tc_bool).
% 160.12/160.18 ** KEPT (pick-wt=2): 522 [] class_Lattices_Odistrib__lattice(tc_bool).
% 160.12/160.18 ** KEPT (pick-wt=2): 523 [] class_Lattices_Obounded__lattice(tc_bool).
% 160.12/160.18 ** KEPT (pick-wt=2): 524 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 160.12/160.18 ** KEPT (pick-wt=2): 525 [] class_Orderings_Opreorder(tc_bool).
% 160.12/160.18 ** KEPT (pick-wt=2): 526 [] class_Lattices_Olattice(tc_bool).
% 160.12/160.18 ** KEPT (pick-wt=2): 527 [] class_Orderings_Oorder(tc_bool).
% 160.12/160.18 ** KEPT (pick-wt=2): 528 [] class_Orderings_Otop(tc_bool).
% 160.12/160.18 ** KEPT (pick-wt=2): 529 [] class_Orderings_Obot(tc_bool).
% 160.12/160.18 ** KEPT (pick-wt=2): 530 [] class_HOL_Ominus(tc_bool).
% 160.12/160.18 ** KEPT (pick-wt=2): 531 [] class_HOL_Oord(tc_bool).
% 160.12/160.18 ** KEPT (pick-wt=6): 532 [] hBOOL(hAPP(c_fe_qual(A,B),A)).
% 160.12/160.18 Following clause subsumed by 362 during input processing: 0 [copy,362,flip.1] A=A.
% 160.12/160.18 362 back subsumes 350.
% 160.12/160.18 362 back subsumes 344.
% 160.12/160.18 362 back subsumes 343.
% 160.12/160.18 362 back subsumes 342.
% 160.12/160.18 362 back subsumes 341.
% 160.12/160.18 362 back subsumes 334.
% 160.12/160.18 >>>> Starting back demodulation with 366.
% 160.12/160.18 >> back demodulating 360 with 366.
% 160.12/160.18 >> back demodulating 359 with 366.
% 160.12/160.18 >> back demodulating 358 with 366.
% 160.12/160.18 >> back demodulating 357 with 366.
% 160.12/160.18 >>>> Starting back demodulation with 368.
% 160.12/160.18 ** KEPT (pick-wt=27): 537 [copy,370,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)).
% 160.12/160.18 ** KEPT (pick-wt=27): 538 [copy,371,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 160.12/160.18 >>>> Starting back demodulation with 373.
% 160.12/160.18 >>>> Starting back demodulation with 375.
% 160.12/160.18 ** KEPT (pick-wt=13): 539 [copy,376,flip.1] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))=c_Set_Ovimage(B,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),A,C).
% 160.12/160.18 >>>> Starting back demodulation with 378.
% 160.12/160.18 >> back demodulating 295 with 378.
% 160.12/160.18 >> back demodulating 287 with 378.
% 160.12/160.18 >> back demodulating 261 with 378.
% 160.12/160.18 >> back demodulating 165 with 378.
% 160.12/160.18 >> back demodulating 164 with 378.
% 160.12/160.18 >> back demodulating 47 with 378.
% 160.12/160.18 ** KEPT (pick-wt=25): 544 [copy,380,flip.1] c_HOL_Ominus__class_Ominus(c_Set_Ovimage(A,B,C,D),c_Set_Ovimage(A,E,C,D),tc_fun(C,tc_bool))=c_Set_Ovimage(A,c_HOL_Ominus__class_Ominus(B,E,tc_fun(D,tc_bool)),C,D).
% 160.12/160.18 >>>> Starting back demodulation with 382.
% 160.12/160.18 >>>> Starting back demodulation with 384.
% 160.12/160.18 ** KEPT (pick-wt=38): 545 [copy,386,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).
% 160.12/160.18 >>>> Starting back demodulation with 389.
% 160.12/160.18 >>>> Starting back demodulation with 391.
% 160.12/160.18 >> back demodulating 348 with 391.
% 160.12/160.18 >> back demodulating 345 with 391.
% 160.12/160.18 >> back demodulating 336 with 391.
% 160.12/160.18 >> back demodulating 335 with 391.
% 160.12/160.18 >> back demodulating 333 with 391.
% 160.12/160.18 >> back demodulating 331 with 391.
% 160.12/160.18 ** KEPT (pick-wt=29): 546 [copy,392,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Relation_OImage(B,C,D,A)),c_Relation_OImage(B,E,D,A))=c_Relation_OImage(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),C),E),D,A).
% 160.12/160.18 Following clause subsumed by 394 during input processing: 0 [copy,394,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 160.12/160.18 >>>> Starting back demodulation with 396.
% 160.12/160.18 Following clause subsumed by 399 during input processing: 0 [copy,399,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)).
% 160.12/160.18 >>>> Starting back demodulation with 401.
% 160.12/160.18 >>>> Starting back demodulation with 405.
% 160.12/160.18 Following clause subsumed by 406 during input processing: 0 [copy,406,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)).
% 160.12/160.18 >>>> Starting back demodulation with 408.
% 160.12/160.18 >>>> Starting back demodulation with 410.
% 160.12/160.18 >>>> Starting back demodulation with 412.
% 160.12/160.18 >>>> Starting back demodulation with 414.
% 160.12/160.18 >>>> Starting back demodulation with 417.
% 160.12/160.18 >>>> Starting back demodulation with 419.
% 160.12/160.18 >> back demodulating 409 with 419.
% 160.12/160.18 >>>> Starting back demodulation with 422.
% 160.12/160.18 >>>> Starting back demodulation with 424.
% 160.12/160.18 >>>> Starting back demodulation with 428.
% 160.12/160.18 >> back demodulating 171 with 428.
% 160.12/160.18 >>>> Starting back demodulation with 430.
% 160.12/160.18 Following clause subsumed by 436 during input processing: 0 [copy,436,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).
% 160.12/160.18 >>>> Starting back demodulation with 439.
% 160.12/160.18 >> back demodulating 231 with 439.
% 160.12/160.18 >>>> Starting back demodulation with 442.
% 160.12/160.18 >>>> Starting back demodulation with 446.
% 160.12/160.18 >>>> Starting back demodulation with 448.
% 160.12/160.18 >> back demodulating 161 with 448.
% 160.12/160.18 >>>> Starting back demodulation with 451.
% 160.12/160.18 Following clause subsumed by 452 during input processing: 0 [copy,452,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).
% 160.12/160.18 >>>> Starting back demodulation with 455.
% 160.12/160.18 >>>> Starting back demodulation with 457.
% 160.12/160.18 ** KEPT (pick-wt=18): 550 [copy,459,flip.1,demod,473] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool)).
% 160.12/160.18 ** KEPT (pick-wt=29): 551 [copy,460,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).
% 160.12/160.18 ** KEPT (pick-wt=29): 552 [copy,464,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).
% 160.12/160.18 >>>> Starting back demodulation with 467.
% 160.12/160.18 ** KEPT (pick-wt=38): 553 [copy,468,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).
% 160.12/160.18 >>>> Starting back demodulation with 471.
% 160.12/160.18 >>>> Starting back demodulation with 473.
% 160.12/160.18 >> back demodulating 459 with 473.
% 160.12/160.18 >> back demodulating 354 with 473.
% 160.12/160.18 >> back demodulating 353 with 473.
% 160.12/160.18 >> back demodulating 351 with 473.
% 160.12/160.18 >> back demodulating 347 with 473.
% 160.12/160.18 >> back demodulating 340 with 473.
% 160.12/160.18 >> back demodulating 332 with 473.
% 160.12/160.18 474 back subsumes 337.
% 160.12/160.18 ** KEPT (pick-wt=44): 556 [copy,476,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),A),tc_fun(B,tc_bool)),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),A),D),C,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool)).
% 160.12/160.18 >>>> Starting back demodulation with 479.
% 160.12/160.18 >> back demodulating 407 with 479.
% 160.12/160.18 >>>> Starting back demodulation with 482.
% 160.12/160.18 >>>> Starting back demodulation with 485.
% 160.12/160.18 ** KEPT (pick-wt=11): 559 [copy,487,flip.1] c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)=c_fe_qual(A,B).
% 160.12/160.18 ** KEPT (pick-wt=29): 560 [copy,488,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).
% 160.12/160.18 ** KEPT (pick-wt=13): 561 [copy,489,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).
% 160.12/160.18 >>>> Starting back demodulation with 492.
% 160.12/160.18 >>>> Starting back demodulation with 494.
% 160.12/160.18 >>>> Starting back demodulation with 497.
% 160.12/160.18 >>>> Starting back demodulation with 499.
% 160.12/160.18 >>>> Starting back demodulation with 501.
% 160.12/160.18 >> back demodulating 454 with 501.
% 160.12/160.18 ** KEPT (pick-wt=11): 562 [copy,502,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(B,B,tc_fun(A,tc_bool)).
% 160.12/160.18 >>>> Starting back demodulation with 504.
% 160.12/160.18 >>>> Starting back demodulation with 507.
% 160.12/160.18 >>>> Starting back demodulation with 509.
% 160.12/160.18 ** KEPT (pick-wt=13): 563 [copy,510,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Relation_OImage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 160.12/160.18 Following clause subsumed by 516 during input processing: 0 [copy,512,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).
% 160.12/160.18 Following clause subsumed by 512 during input processing: 0 [copy,516,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)).
% 160.12/160.18 >>>> Starting back demodulation with 518.
% 160.12/160.18 Following clause subsumed by 370 during input processing: 0 [copy,537,flip.1] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 160.12/160.18 Following clause subsumed by 371 during input processing: 0 [copy,538,flip.1] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)).
% 160.12/160.18 Following clause subsumed by 376 during input processing: 0 [copy,539,flip.1] c_Set_Ovimage(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),C,B)=c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)).
% 160.12/160.18 Following clause subsumed by 380 during input processing: 0 [copy,544,flip.1] c_Set_Ovimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),E,D)=c_HOL_Ominus__class_Ominus(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 160.12/160.18 Following clause subsumed by 386 during input processing: 0 [copy,545,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)).
% 160.12/160.18 Following clause subsumed by 392 during input processing: 0 [copy,546,flip.1] c_Relation_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_Relation_OImage(A,C,B,E)),c_Relation_OImage(A,D,B,E)).
% 160.12/160.18 >>>> Starting back demodulation with 548.
% 160.12/160.18 Following clause subsumed by 554 during input processing: 0 [copy,550,flip.1] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 160.12/160.18 Following clause subsumed by 460 during input processing: 0 [copy,551,flip.1] 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)).
% 160.12/160.18 Following clause subsumed by 464 during input processing: 0 [copy,552,flip.1] 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)).
% 160.12/160.18 Following clause subsumed by 468 during input processing: 0 [copy,553,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)).
% 160.12/160.18 Following clause subsumed by 550 during input processing: 0 [copy,554,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool)).
% 160.12/160.18 Following clause subsumed by 476 during input processing: 0 [copy,556,flip.1] c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),A),tc_fun(B,tc_bool)),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),A),D),C,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 160.12/160.18 >>>> Starting back demodulation with 558.
% 160.12/160.18 Following clause subsumed by 487 during input processing: 0 [copy,559,flip.1] c_fe_qual(A,B)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 160.12/160.18 Following clause subsumed by 488 during input processing: 0 [copy,560,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)).
% 160.12/160.18 Following clause subsumed by 489 during input processing: 0 [copy,561,flip.1] c_Set_Ovimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 160.72/160.82 Following clause subsumed by 502 during input processing: 0 [copy,562,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 160.72/160.82 Following clause subsumed by 510 during input processing: 0 [copy,563,flip.1] c_Relation_OImage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 160.72/160.82
% 160.72/160.82 ======= end of input processing =======
% 160.72/160.82
% 160.72/160.82 =========== start of search ===========
% 160.72/160.82
% 160.72/160.82
% 160.72/160.82 Resetting weight limit to 2.
% 160.72/160.82
% 160.72/160.82
% 160.72/160.82 Resetting weight limit to 2.
% 160.72/160.82
% 160.72/160.82 sos_size=137
% 160.72/160.82
% 160.72/160.82 Search stopped because sos empty.
% 160.72/160.82
% 160.72/160.82
% 160.72/160.82 Search stopped because sos empty.
% 160.72/160.82
% 160.72/160.82 ============ end of search ============
% 160.72/160.82
% 160.72/160.82 -------------- statistics -------------
% 160.72/160.82 clauses given 138
% 160.72/160.82 clauses generated 59353
% 160.72/160.82 clauses kept 498
% 160.72/160.82 clauses forward subsumed 102
% 160.72/160.82 clauses back subsumed 12
% 160.72/160.82 Kbytes malloced 10742
% 160.72/160.82
% 160.72/160.82 ----------- times (seconds) -----------
% 160.72/160.82 user CPU time 0.69 (0 hr, 0 min, 0 sec)
% 160.72/160.82 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 160.72/160.82 wall-clock time 160 (0 hr, 2 min, 40 sec)
% 160.72/160.82
% 160.72/160.82 Process 4596 finished Wed Jul 27 05:37:41 2022
% 160.72/160.82 Otter interrupted
% 160.72/160.82 PROOF NOT FOUND
%------------------------------------------------------------------------------