TSTP Solution File: SWV858-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV858-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n006.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 242.88s 243.01s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV858-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 05:52:01 EDT 2022
% 0.13/0.33 % CPUTime :
% 242.68/242.85 ----- Otter 3.3f, August 2004 -----
% 242.68/242.85 The process was started by sandbox on n006.cluster.edu,
% 242.68/242.85 Wed Jul 27 05:52:02 2022
% 242.68/242.85 The command was "./otter". The process ID is 12824.
% 242.68/242.85
% 242.68/242.85 set(prolog_style_variables).
% 242.68/242.85 set(auto).
% 242.68/242.85 dependent: set(auto1).
% 242.68/242.85 dependent: set(process_input).
% 242.68/242.85 dependent: clear(print_kept).
% 242.68/242.85 dependent: clear(print_new_demod).
% 242.68/242.85 dependent: clear(print_back_demod).
% 242.68/242.85 dependent: clear(print_back_sub).
% 242.68/242.85 dependent: set(control_memory).
% 242.68/242.85 dependent: assign(max_mem, 12000).
% 242.68/242.85 dependent: assign(pick_given_ratio, 4).
% 242.68/242.85 dependent: assign(stats_level, 1).
% 242.68/242.85 dependent: assign(max_seconds, 10800).
% 242.68/242.85 clear(print_given).
% 242.68/242.85
% 242.68/242.85 list(usable).
% 242.68/242.85 0 [] A=A.
% 242.68/242.85 0 [] c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(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)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Set_Ovimage(c_Fun_Oid(T_a),V_A,T_a,T_a)=V_A.
% 242.68/242.85 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).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a)!=c_Fun_Ocomp(c_Fun_Oid(T_b),V_c,T_b,T_b,T_a)|hAPP(V_a,hAPP(V_b,V_v))=hAPP(V_c,V_v).
% 242.68/242.85 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_B=c_Orderings_Obot__class_Obot(T_a).
% 242.68/242.85 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_A=c_Orderings_Obot__class_Obot(T_a).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,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)).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 242.68/242.85 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(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 242.68/242.85 0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 242.68/242.85 0 [] c_Set_Ovimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_b,tc_bool)),T_a,T_b)=c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(V_f,V_A,T_a,T_b),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 242.68/242.85 0 [] c_Set_Oinsert(V_x,V_xa,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_xa)).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 242.68/242.85 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.
% 242.68/242.85 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(hAPP(hAPP(c_in(T_a),V_x),V_B)).
% 242.68/242.85 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).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OlessThan(V_k,T_a),tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeast(V_k,T_a).
% 242.68/242.85 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_SetInterval_Oord__class_OlessThan(V_x,T_a)!=c_SetInterval_Oord__class_OlessThan(V_y,T_a)|V_x=V_y.
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 242.68/242.85 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(V_n,T_a),c_SetInterval_Oord__class_OatLeast(V_n,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_n,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 242.68/242.85 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 242.68/242.85 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 242.68/242.85 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 242.68/242.85 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 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)).
% 242.68/242.85 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 242.68/242.85 0 [] c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 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)).
% 242.68/242.85 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.
% 242.68/242.85 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.
% 242.68/242.85 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).
% 242.68/242.85 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)).
% 242.68/242.85 0 [] hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 242.68/242.85 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 242.68/242.85 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).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),c_SetInterval_Oord__class_OgreaterThan(V_u,T_a),tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeast(V_l,T_a)| -c_lesse_quals(V_l,V_u,T_a).
% 242.68/242.85 0 [] -class_HOL_Oord(T_a)|c_HOL_Oord__class_Oless(V_k,V_i,T_a)| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord__class_OgreaterThan(V_k,T_a))).
% 242.68/242.85 0 [] -class_HOL_Oord(T_a)|hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord__class_OgreaterThan(V_k,T_a)))| -c_HOL_Oord__class_Oless(V_k,V_i,T_a).
% 242.68/242.85 0 [] c_Set_Ovimage(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_x,T_a,T_b)=c_Set_Ovimage(V_f,c_Set_Ovimage(V_g,V_x,T_c,T_b),T_a,T_c).
% 242.68/242.85 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a).
% 242.68/242.85 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)).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 242.68/242.85 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 242.68/242.85 0 [] c_Set_Oimage(c_Fun_Oid(T_a),V_Y,T_a,T_a)=V_Y.
% 242.68/242.85 0 [] c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 242.68/242.85 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 242.68/242.85 0 [] c_Set_Oinsert(V_a,V_A,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_d,T_a)|c_HOL_Oord__class_Oless(V_c,V_a,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 242.68/242.85 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 242.68/242.85 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).
% 242.68/242.85 0 [] c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 242.68/242.85 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 242.68/242.85 0 [] c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(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)).
% 242.68/242.85 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)=c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),c_SetInterval_Oord__class_OgreaterThan(V_u,T_a),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_HOL_Ominus__class_Ominus(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_k,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_SetInterval_Oord__class_OlessThan(V_k,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_k,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 242.68/242.85 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(hAPP(hAPP(c_in(T_a),V_x),V_B)).
% 242.68/242.85 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)).
% 242.68/242.85 0 [] hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 242.68/242.85 0 [] hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_lesse_quals(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 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(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 242.68/242.85 0 [] hAPP(c_Fun_Oid(T_a),V_x)=V_x.
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_c,V_a,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 242.68/242.85 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,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_lesse_quals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),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)).
% 242.68/242.85 0 [] c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 242.68/242.85 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=V_a.
% 242.68/242.85 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=V_x.
% 242.68/242.85 0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_b=c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 242.68/242.85 0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_a=c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 242.68/242.85 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=V_b.
% 242.68/242.85 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_x,V_a,T_a).
% 242.68/242.85 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_x,V_b,T_a).
% 242.68/242.85 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a)=c_HOL_Ominus__class_Ominus(V_b,V_a,T_a).
% 242.68/242.85 0 [] c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b)=c_Lattices_Olower__semilattice__class_Oinf(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)).
% 242.68/242.85 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(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)=c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a).
% 242.68/242.85 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 242.68/242.85 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 242.68/242.85 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a).
% 242.68/242.85 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_B,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_B)).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(V_B,V_x),V_b))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)).
% 242.68/242.85 0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))|hBOOL(hAPP(hAPP(V_B,V_a),V_b))| -hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(V_B,V_a),V_b))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))| -hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)).
% 242.68/242.85 0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 242.68/242.85 0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 242.68/242.85 0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 242.68/242.85 0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))|V_a=V_b| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a))).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))|hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_b),hAPP(V_B,V_x)))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)))).
% 242.68/242.85 0 [] -hBOOL(hAPP(hAPP(c_in(T_b),V_a),V_A))|hBOOL(hAPP(hAPP(c_in(T_a),V_b),hAPP(V_B,V_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)))).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_b),hAPP(V_B,V_a)))| -hBOOL(hAPP(hAPP(c_in(T_b),V_a),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)))).
% 242.68/242.85 0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))))|hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 242.68/242.85 0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)))).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 242.68/242.85 0 [] -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 242.68/242.85 0 [] c_COMBC(c_in(T_a),V_R,T_a,tc_fun(T_a,tc_bool),tc_bool)!=c_COMBC(c_in(T_a),V_S,T_a,tc_fun(T_a,tc_bool),tc_bool)|V_R=V_S.
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))))|hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))))|hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 242.68/242.85 0 [] c_Set_Oinsert(V_x,V_A,T_a)!=c_Set_Oinsert(V_x,V_B,T_a)|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|V_A=V_B.
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),hAPP(V_B,V_x)))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B)).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_A,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_A)).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_B,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_B)).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b))).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_A,T_a,T_b))).
% 242.68/242.85 0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 242.68/242.85 0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))| -hBOOL(hAPP(hAPP(V_B,V_x),V_b))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 242.68/242.85 0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))| -hBOOL(hAPP(hAPP(V_B,V_a),V_b))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 242.68/242.85 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).
% 242.68/242.85 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)).
% 242.68/242.85 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).
% 242.68/242.85 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 242.68/242.85 0 [] c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a)=V_g.
% 242.68/242.85 0 [] c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a)=V_f.
% 242.68/242.85 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a).
% 242.68/242.85 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Lattices_Olattice(T_b)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))!=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.
% 242.68/242.85 0 [] V_b=V_a| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),c_Set_Oinsert(V_u,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)| -c_lesse_quals(V_l,V_u,T_a).
% 242.68/242.85 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(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_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)).
% 242.68/242.85 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_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)).
% 242.68/242.85 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(hAPP(hAPP(c_in(T_a),V_x),V_B)).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatLeast(V_k,T_a),tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OlessThan(V_k,T_a).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),c_SetInterval_Oord__class_OatLeast(V_u,T_a),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 242.68/242.85 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(hAPP(hAPP(c_in(T_a),V_x),V_A))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))| -c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_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(hAPP(hAPP(c_in(T_a),V_x),V_B)).
% 242.68/242.85 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).
% 242.68/242.85 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 242.68/242.85 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a)=c_Orderings_Obot__class_Obot(T_a).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,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)).
% 242.68/242.85 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)).
% 242.68/242.85 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,V_A,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_a,c_Complete__Lattice_OInf__class_OInf(V_A,T_a),T_a).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 242.68/242.85 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)).
% 242.68/242.85 0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_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)).
% 242.68/242.85 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)).
% 242.68/242.85 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)=c_Lattices_Oupper__semilattice__class_Osup(V_a,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a).
% 242.68/242.85 0 [] -class_HOL_Oord(T_a)|c_HOL_Oord__class_Oless(V_i,V_k,T_a)| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord__class_OlessThan(V_k,T_a))).
% 242.68/242.85 0 [] -class_HOL_Oord(T_a)|hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord__class_OlessThan(V_k,T_a)))| -c_HOL_Oord__class_Oless(V_i,V_k,T_a).
% 242.68/242.85 0 [] c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 242.68/242.85 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)).
% 242.68/242.85 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)).
% 242.68/242.85 0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_aa),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))).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_SetInterval_Oord__class_OgreaterThan(V_x,T_a)!=c_SetInterval_Oord__class_OgreaterThan(V_y,T_a)|V_x=V_y.
% 242.68/242.85 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).
% 242.68/242.85 0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 242.68/242.85 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hAPP(V_B,V_x)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 242.68/242.85 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 242.68/242.85 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)=c_Orderings_Obot__class_Obot(T_a).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_A,V_k),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_k),V_I)).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 242.68/242.85 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).
% 242.68/242.85 0 [] c_lesse_quals(c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(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)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))!=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))|c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 242.68/242.85 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.
% 242.68/242.85 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)).
% 242.68/242.85 0 [] hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x)=hAPP(V_f,hAPP(V_g,V_x)).
% 242.68/242.85 0 [] hAPP(V_a,hAPP(V_b,V_v))=hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v).
% 242.68/242.85 0 [] c_Suc(V_x)!=c_Suc(V_y)|V_x=V_y.
% 242.68/242.85 0 [] c_Suc(V_nat)!=c_Suc(V_nat_H)|V_nat=V_nat_H.
% 242.68/242.85 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)).
% 242.68/242.85 0 [] hBOOL(hAPP(V_B,V_x))|hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 242.68/242.85 0 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_B,V_x)).
% 242.68/242.85 0 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 242.68/242.85 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 242.68/242.85 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 242.68/242.85 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 242.68/242.85 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a)| -c_lesse_quals(V_m,V_u,T_a)| -c_lesse_quals(V_l,V_m,T_a).
% 242.68/242.85 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))|hAPP(V_B,V_x)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 242.68/242.85 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a)=V_x.
% 242.68/242.85 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)=V_x.
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 242.68/242.85 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)).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 242.68/242.85 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 242.68/242.85 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatMost(V_k,T_a),tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OgreaterThan(V_k,T_a).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)| -c_lesse_quals(V_m,V_u,T_a)| -c_lesse_quals(V_l,V_m,T_a).
% 242.68/242.85 0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_C,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))| -c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_l,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_SetInterval_Oord__class_OgreaterThan(V_l,T_a),tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeast(V_l,T_a).
% 242.68/242.85 0 [] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -hBOOL(hAPP(hAPP(c_in(T_aa),V_x),V_A))|hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_aa,T_a))).
% 242.68/242.85 0 [] -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))|hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a))).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 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.
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 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.
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_a,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a).
% 242.68/242.85 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a).
% 242.68/242.85 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 242.68/242.85 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a).
% 242.68/242.85 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a).
% 242.68/242.85 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a).
% 242.68/242.85 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(V_X,c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,T_a),T_a)| -c_lesse_quals(V_X,hAPP(V_f,V_X),T_a).
% 242.68/242.85 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a).
% 242.68/242.85 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a).
% 242.68/242.85 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 242.68/242.85 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 242.68/242.85 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 242.68/242.85 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a).
% 242.68/242.85 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a).
% 242.68/242.85 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 242.68/242.85 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)!=V_y|c_lesse_quals(V_x,V_y,T_a).
% 242.68/242.85 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_y,V_x,T_a).
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 242.68/242.85 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 242.68/242.85 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_x,V_y,T_a).
% 242.68/242.85 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)!=V_x|c_lesse_quals(V_x,V_y,T_a).
% 242.68/242.85 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_y,V_x,T_a).
% 242.68/242.85 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 242.68/242.85 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 242.68/242.85 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 242.68/242.85 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)| -c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 242.68/242.85 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_z,T_a).
% 242.68/242.85 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 242.68/242.85 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 242.68/242.85 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_a,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a).
% 242.68/242.85 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a).
% 242.68/242.85 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 242.68/242.85 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a).
% 242.68/242.85 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 242.68/242.85 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 242.68/242.85 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 242.68/242.85 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 242.68/242.85 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a).
% 242.68/242.85 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_g,V_a)),c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,tc_fun(T_b,tc_bool))))| -c_lesse_quals(c_Set_Oimage(V_g,V_X,T_a,T_b),hAPP(V_f,c_Set_Oimage(V_g,V_X,T_a,T_b)),tc_fun(T_b,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_X)).
% 242.68/242.85 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(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.68/242.85 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(hAPP(hAPP(c_in(T_a),V_x),V_A))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)).
% 242.68/242.85 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))| -c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_COMBC(c_in(t_a),V_R,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),V_S,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(V_R,V_S,tc_fun(t_a,tc_bool))).
% 242.68/242.85 0 [] hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),V_R,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),V_S,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(t_a,tc_bool))).
% 242.68/242.85 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)).
% 242.68/242.85 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)).
% 242.68/242.85 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)).
% 242.68/242.85 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)).
% 242.68/242.85 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)).
% 242.68/242.85 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)).
% 242.68/242.85 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)).
% 242.68/242.85 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)).
% 242.68/242.85 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)).
% 242.68/242.85 0 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_D,tc_fun(T_a,tc_bool)),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)).
% 242.68/242.85 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)).
% 242.68/242.85 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)).
% 242.68/242.85 0 [] c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(V_P,V_Q,T_a))).
% 242.68/242.85 0 [] c_lesse_quals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),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)).
% 242.68/242.85 0 [] c_lesse_quals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),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)).
% 242.68/242.85 0 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),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)).
% 242.68/242.85 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)).
% 242.68/242.85 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)).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=V_B|c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_b,V_a,T_a).
% 242.68/242.85 0 [] -c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 242.68/242.85 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 242.68/242.85 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=V_x.
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 242.68/242.85 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(V_x,T_a)!=c_HOL_Ouminus__class_Ouminus(V_y,T_a)|V_x=V_y.
% 242.68/242.85 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)!=c_HOL_Ouminus__class_Ouminus(V_b,T_a)|V_a=V_b.
% 242.68/242.85 0 [] c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))!=c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))|V_A=V_B.
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_b,V_d,T_a)| -c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_c,V_a,T_a).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_c,V_a,T_a)| -c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_c,V_a,T_a).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(V_u,T_a),c_Set_Oinsert(V_u,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatMost(V_u,T_a).
% 242.68/242.85 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.
% 242.68/242.85 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).
% 242.68/242.85 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.
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=V_x.
% 242.68/242.85 0 [] -class_Lattices_Olower__semilattice(T_a)|c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_HOL_Oord__class_Oless(V_b,V_x,T_a).
% 242.68/242.85 0 [] -class_Lattices_Olower__semilattice(T_a)|c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_HOL_Oord__class_Oless(V_a,V_x,T_a).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 242.68/242.85 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.
% 242.68/242.85 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.
% 242.68/242.85 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.
% 242.68/242.85 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.
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OlessThan(V_u,T_a)| -c_lesse_quals(V_l,V_u,T_a).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_SetInterval_Oord__class_OatLeast(V_x,T_a)!=c_SetInterval_Oord__class_OatLeast(V_y,T_a)|V_x=V_y.
% 242.68/242.85 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)|c_lesse_quals(V_a,V_b,T_a).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 242.68/242.85 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a)| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 242.68/242.85 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).
% 242.68/242.85 0 [] hAPP(c_Fun_Ofcomp(V_f,V_g,T_b,T_c,T_a),V_x)=hAPP(V_g,hAPP(V_f,V_x)).
% 242.68/242.85 0 [] hAPP(V_f,V_a)=V_b| -hBOOL(hAPP(hAPP(c_in(T_a),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))).
% 242.68/242.85 0 [] c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a)=c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a).
% 242.68/242.85 0 [] c_Set_Oinsert(V_a,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 242.68/242.85 0 [] -class_HOL_Ouminus(T_b)|hAPP(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(t_a,T_b)),v_x)=c_HOL_Ouminus__class_Ouminus(hAPP(V_A,v_x),T_b).
% 242.68/242.85 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a).
% 242.68/242.85 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 242.68/242.85 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 242.68/242.85 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatMost(V_u,T_a)| -c_lesse_quals(V_l,V_u,T_a).
% 242.68/242.85 0 [] c_Fun_Ofcomp(V_f,c_Fun_Oid(T_b),T_a,T_b,T_b)=V_f.
% 242.68/242.85 0 [] c_Fun_Ofcomp(c_Fun_Oid(T_a),V_g,T_a,T_a,T_b)=V_g.
% 242.68/242.85 0 [] c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a)=c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a).
% 242.68/242.85 0 [] c_Suc(V_n)!=V_n.
% 242.68/242.85 0 [] V_n!=c_Suc(V_n).
% 242.68/242.85 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(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 242.68/242.85 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x.
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 242.68/242.85 0 [] -class_Lattices_Olattice(T_b)|hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_f,V_g,tc_fun(t_a,T_b)),v_x)=c_Lattices_Olower__semilattice__class_Oinf(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b).
% 242.68/242.85 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.
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 242.68/242.85 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)).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(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)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_lesse_quals(V_a,V_b,T_a).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_a,V_b,T_a).
% 242.68/242.85 0 [] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),V_M,T_b,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_M,T_b,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_B,V_M,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_n,T_a),tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeastLessThan(V_n,V_m,T_a)| -c_lesse_quals(V_i,V_n,T_a).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_SetInterval_Oord__class_OatMost(V_x,T_a)!=c_SetInterval_Oord__class_OatMost(V_y,T_a)|V_x=V_y.
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))).
% 242.68/242.85 0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(hAPP(V_A,V_k),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_a,tc_fun(T_b,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_k),V_I)).
% 242.68/242.85 0 [] c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a)!=c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a)|hAPP(V_a,hAPP(V_b,V_v))=hAPP(V_c,hAPP(V_d,V_v)).
% 242.68/242.85 0 [] hAPP(V_f,hAPP(V_g,V_x))!=hAPP(V_f_H,hAPP(V_g_H,V_x_H))|hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x)=hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H).
% 242.68/242.85 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)).
% 242.68/242.85 0 [] c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(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),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(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)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OgreaterThan(V_k,T_a),tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatMost(V_k,T_a).
% 242.68/242.85 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),V_M,T_b,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 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)).
% 242.68/242.85 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))).
% 242.68/242.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 242.68/242.85 0 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(V_A,V_x)).
% 242.68/242.85 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a).
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Lattices_Oupper__semilattice__class_Osup(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))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),c_SetInterval_Oord__class_OatLeast(V_u,T_a),tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeast(V_l,T_a)| -c_lesse_quals(V_l,V_u,T_a).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(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)).
% 242.68/242.85 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)).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_c,V_d,T_a)|c_lesse_quals(V_a,V_b,T_a).
% 242.68/242.85 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Fun_Ofcomp(c_Fun_Ofcomp(V_f,V_g,T_a,T_d,T_c),V_h,T_a,T_c,T_b)=c_Fun_Ofcomp(V_f,c_Fun_Ofcomp(V_g,V_h,T_d,T_c,T_b),T_a,T_d,T_b).
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 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).
% 242.68/242.85 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)).
% 242.68/242.85 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)).
% 242.68/242.85 0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.68/242.85 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)).
% 242.68/242.85 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)).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),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)).
% 242.68/242.85 0 [] c_lesse_quals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_lesse_quals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),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)).
% 242.68/242.85 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)).
% 242.68/242.85 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)).
% 242.68/242.85 0 [] c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool))|hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(V_P,V_Q,T_a))).
% 242.68/242.85 0 [] hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x)=hAPP(V_f,hAPP(V_g,v_x)).
% 242.68/242.85 0 [] hAPP(c_Fun_Oid(t_a),v_x)=v_x.
% 242.68/242.85 0 [] hAPP(c_Fun_Ofcomp(V_f,V_g,t_a,T_c,T_b),v_x)=hAPP(V_g,hAPP(V_f,v_x)).
% 242.68/242.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 242.68/242.85 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).
% 242.68/242.85 0 [] c_Hoare__Mirabelle_Otriple__valid(V_n,V_t,T_a)| -c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),V_t,T_a).
% 242.68/242.85 0 [] c_Hoare__Mirabelle_Otriple__valid(V_n,V_na,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_na),V_ts))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(V_G,V_n)),V_G))| -c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a).
% 242.68/242.85 0 [] c_Hoare__Mirabelle_Otriple__valid(V_n,V_xa,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_xa),V_ts))| -c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(V_n,V_ts),t_a).
% 242.68/242.85 0 [] c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a)|c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(V_G,V_ts),V_x,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_x),V_G)).
% 242.68/242.85 0 [] c_Hoare__Mirabelle_Otriple__valid(V_n,V_nb,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_nb),V_ts))| -c_Hoare__Mirabelle_Otriple__valid(V_n,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(V_G,V_n),t_a)| -c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,t_a).
% 242.68/242.85 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(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 242.68/242.85 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a)| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 242.68/242.85 0 [] -class_HOL_Oord(T_a)|hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord__class_OatMost(V_k,T_a)))| -c_lesse_quals(V_i,V_k,T_a).
% 242.68/242.85 0 [] -class_HOL_Oord(T_a)|c_lesse_quals(V_i,V_k,T_a)| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord__class_OatMost(V_k,T_a))).
% 242.68/242.85 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_M,T_a,T_b),hAPP(V_M,V_i),T_b)| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),V_A)).
% 242.68/242.85 0 [] -class_HOL_Oord(T_a)|hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord__class_OatLeast(V_k,T_a)))| -c_lesse_quals(V_k,V_i,T_a).
% 242.68/242.85 0 [] -class_HOL_Oord(T_a)|c_lesse_quals(V_k,V_i,T_a)| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord__class_OatLeast(V_k,T_a))).
% 242.68/242.85 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|c_lesse_quals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b)| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),V_A)).
% 242.68/242.85 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(hAPP(hAPP(c_in(T_a),V_x),V_B)).
% 242.68/242.85 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XsubsetI__1__1(V_A,V_B,T_a)),V_B)).
% 242.68/242.85 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1(V_A,V_B,T_a)),V_A)).
% 242.68/242.85 0 [] c_lesse_quals(c_COMBC(c_in(T_a),V_R,T_a,tc_fun(T_a,tc_bool),tc_bool),c_COMBC(c_in(T_a),V_S,T_a,tc_fun(T_a,tc_bool),tc_bool),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_R,V_S,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_lesse_quals(V_R,V_S,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_COMBC(c_in(T_a),V_R,T_a,tc_fun(T_a,tc_bool),tc_bool),c_COMBC(c_in(T_a),V_S,T_a,tc_fun(T_a,tc_bool),tc_bool),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),hAPP(V_B,V_a),tc_fun(T_b,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 242.68/242.85 0 [] c_lesse_quals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_I))| -c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_lesse_quals(V_B,hAPP(V_A,V_i),tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_b),V_i),V_I))| -c_lesse_quals(V_B,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_lesse_quals(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),V_B))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1(V_A,V_B,T_a)),V_B)).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,tc_fun(T_a,tc_bool))))| -c_lesse_quals(V_X,hAPP(V_f,V_X),tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_X)).
% 242.68/242.85 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XsubsetI__1__1(V_A,V_B,T_a)),V_A)).
% 242.68/242.85 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)).
% 242.68/242.85 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(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 242.68/242.85 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 242.68/242.85 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(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 242.68/242.85 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(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 242.68/242.85 0 [] -class_HOL_Oord(T_b)|c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b))| -c_lesse_quals(hAPP(V_f,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(V_f,V_g,T_a,T_b)),hAPP(V_g,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(V_f,V_g,T_a,T_b)),T_b).
% 242.68/242.85 0 [] -class_HOL_Oord(T_b)|c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b))| -c_lesse_quals(hAPP(V_f,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(V_f,V_g,T_a,T_b)),hAPP(V_g,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(V_f,V_g,T_a,T_b)),T_b).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OatLeast(V_x,T_a),c_SetInterval_Oord__class_OatLeast(V_y,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_y,V_x,T_a).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeast(V_x,T_a),c_SetInterval_Oord__class_OatLeast(V_y,T_a),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))|c_lesse_quals(V_a,V_b,T_a).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_c,V_a,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_c,V_a,T_a).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OatMost(V_x,T_a),c_SetInterval_Oord__class_OatMost(V_y,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_x,V_y,T_a).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatMost(V_x,T_a),c_SetInterval_Oord__class_OatMost(V_y,T_a),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OgreaterThan(V_x,T_a),c_SetInterval_Oord__class_OgreaterThan(V_y,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_y,V_x,T_a).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OgreaterThan(V_x,T_a),c_SetInterval_Oord__class_OgreaterThan(V_y,T_a),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OlessThan(V_x,T_a),c_SetInterval_Oord__class_OlessThan(V_y,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_x,V_y,T_a).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OlessThan(V_x,T_a),c_SetInterval_Oord__class_OlessThan(V_y,T_a),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_c,V_a,T_a)|c_lesse_quals(V_b,V_a,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_b,V_d,T_a)|c_lesse_quals(V_b,V_a,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 242.68/242.85 0 [] hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))).
% 242.68/242.85 0 [] c_Hoare__Mirabelle_Otriple__valid(V_n,V_x,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_x),V_ts))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(V_n,V_ts)),V_ts)).
% 242.68/242.85 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 242.68/242.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_lesse_quals(V_ts,V_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a).
% 242.68/242.85 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)).
% 242.68/242.85 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 242.68/242.85 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 242.68/242.85 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)).
% 242.68/242.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_lesse_quals(V_G_H,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a).
% 242.68/242.86 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)).
% 242.68/242.86 0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 242.68/242.86 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_A))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.68/242.86 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 242.68/242.86 0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 242.68/242.86 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.68/242.86 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 242.68/242.86 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).
% 242.68/242.86 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).
% 242.68/242.86 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).
% 242.68/242.86 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).
% 242.68/242.86 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).
% 242.68/242.86 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).
% 242.68/242.86 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)).
% 242.68/242.86 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)).
% 242.68/242.86 0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))| -hBOOL(hAPP(V_S,V_x)).
% 242.68/242.86 0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)).
% 242.68/242.86 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_lesse_quals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)).
% 242.68/242.86 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)).
% 242.68/242.86 0 [] c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_ts_H,t_a).
% 242.68/242.86 0 [] c_lesse_quals(v_tsa,v_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)).
% 242.68/242.86 0 [] hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)).
% 242.68/242.86 0 [] -c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a).
% 242.68/242.86 0 [] c_Hoare__Mirabelle_Otriple__valid(v_x,V_xb,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_xb),v_Ga)).
% 242.68/242.86 0 [] c_Hoare__Mirabelle_Otriple__valid(V_na,V_nb,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_nb),v_ts_H))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(V_na)),v_Ga)).
% 242.68/242.86 0 [] c_Hoare__Mirabelle_Otriple__valid(V_na,V_nc,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_nc),v_ts_H))| -c_Hoare__Mirabelle_Otriple__valid(V_na,v_n(V_na),t_a).
% 242.68/242.86 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 242.68/242.86 0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 242.68/242.86 0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 242.68/242.86 0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 242.68/242.86 0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 242.68/242.86 0 [] class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))| -class_Lattices_Oboolean__algebra(T_1).
% 242.68/242.86 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 242.68/242.86 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 242.68/242.86 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 242.68/242.86 0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 242.68/242.86 0 [] class_HOL_Ouminus(tc_fun(T_2,T_1))| -class_HOL_Ouminus(T_1).
% 242.68/242.86 0 [] class_HOL_Ominus(tc_fun(T_2,T_1))| -class_HOL_Ominus(T_1).
% 242.68/242.86 0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 242.68/242.86 0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 242.68/242.86 0 [] class_Lattices_Olower__semilattice(tc_nat).
% 242.68/242.86 0 [] class_Lattices_Odistrib__lattice(tc_nat).
% 242.68/242.86 0 [] class_Orderings_Opreorder(tc_nat).
% 242.68/242.86 0 [] class_Orderings_Olinorder(tc_nat).
% 242.68/242.86 0 [] class_Lattices_Olattice(tc_nat).
% 242.68/242.86 0 [] class_Orderings_Oorder(tc_nat).
% 242.68/242.86 0 [] class_Orderings_Obot(tc_nat).
% 242.68/242.86 0 [] class_HOL_Ominus(tc_nat).
% 242.68/242.86 0 [] class_HOL_Oord(tc_nat).
% 242.68/242.86 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 242.68/242.86 0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 242.68/242.86 0 [] class_Lattices_Olower__semilattice(tc_bool).
% 242.68/242.86 0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 242.68/242.86 0 [] class_Lattices_Obounded__lattice(tc_bool).
% 242.68/242.86 0 [] class_Lattices_Oboolean__algebra(tc_bool).
% 242.68/242.86 0 [] class_Orderings_Opreorder(tc_bool).
% 242.68/242.86 0 [] class_Lattices_Olattice(tc_bool).
% 242.68/242.86 0 [] class_Orderings_Oorder(tc_bool).
% 242.68/242.86 0 [] class_Orderings_Obot(tc_bool).
% 242.68/242.86 0 [] class_HOL_Ouminus(tc_bool).
% 242.68/242.86 0 [] class_HOL_Ominus(tc_bool).
% 242.68/242.86 0 [] class_HOL_Oord(tc_bool).
% 242.68/242.86 0 [] c_fe_qual(V_x,V_x,T_a).
% 242.68/242.86 0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 242.68/242.86 end_of_list.
% 242.68/242.86
% 242.68/242.86 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 242.68/242.86
% 242.68/242.86 This ia a non-Horn set with equality. The strategy will be
% 242.68/242.86 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 242.68/242.86 deletion, with positive clauses in sos and nonpositive
% 242.68/242.86 clauses in usable.
% 242.68/242.86
% 242.68/242.86 dependent: set(knuth_bendix).
% 242.68/242.86 dependent: set(anl_eq).
% 242.68/242.86 dependent: set(para_from).
% 242.68/242.86 dependent: set(para_into).
% 242.68/242.86 dependent: clear(para_from_right).
% 242.68/242.86 dependent: clear(para_into_right).
% 242.68/242.86 dependent: set(para_from_vars).
% 242.68/242.86 dependent: set(eq_units_both_ways).
% 242.68/242.86 dependent: set(dynamic_demod_all).
% 242.68/242.86 dependent: set(dynamic_demod).
% 242.68/242.86 dependent: set(order_eq).
% 242.68/242.86 dependent: set(back_demod).
% 242.68/242.86 dependent: set(lrpo).
% 242.68/242.86 dependent: set(hyper_res).
% 242.68/242.86 dependent: set(unit_deletion).
% 242.68/242.86 dependent: set(factor).
% 242.68/242.86
% 242.68/242.86 ------------> process usable:
% 242.68/242.86 ** KEPT (pick-wt=19): 1 [] -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).
% 242.68/242.86 ** KEPT (pick-wt=23): 2 [] c_Fun_Ocomp(A,B,C,D,E)!=c_Fun_Ocomp(c_Fun_Oid(D),F,D,D,E)|hAPP(A,hAPP(B,G))=hAPP(F,G).
% 242.68/242.86 ** KEPT (pick-wt=13): 3 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|C=c_Orderings_Obot__class_Obot(A).
% 242.68/242.86 ** KEPT (pick-wt=13): 4 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|B=c_Orderings_Obot__class_Obot(A).
% 242.68/242.86 ** KEPT (pick-wt=17): 5 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 242.68/242.86 ** KEPT (pick-wt=17): 6 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 242.68/242.86 ** KEPT (pick-wt=23): 7 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,C,D,E)| -hBOOL(hAPP(hAPP(c_in(D),B),C)).
% 242.68/242.86 ** KEPT (pick-wt=11): 8 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 242.68/242.86 ** KEPT (pick-wt=20): 9 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)),tc_Hoare__Mirabelle_Otriple(C)),C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,D,tc_Hoare__Mirabelle_Otriple(C)),C).
% 242.68/242.86 ** KEPT (pick-wt=16): 10 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),A),B)).
% 242.68/242.86 ** KEPT (pick-wt=14): 12 [copy,11,flip.2] -class_Orderings_Oorder(A)|c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A)=c_SetInterval_Oord__class_OatLeastAtMost(B,B,A).
% 242.68/242.86 ** KEPT (pick-wt=18): 13 [] 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.
% 242.68/242.86 ** KEPT (pick-wt=39): 14 [] 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(hAPP(hAPP(c_in(D),B),C)).
% 242.68/242.86 ** KEPT (pick-wt=13): 15 [] -class_Orderings_Olinorder(A)|c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OlessThan(B,A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeast(B,A).
% 242.68/242.86 ** KEPT (pick-wt=21): 16 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A),c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A),A).
% 242.68/242.86 ** KEPT (pick-wt=12): 17 [] -class_Orderings_Olinorder(A)|c_SetInterval_Oord__class_OlessThan(B,A)!=c_SetInterval_Oord__class_OlessThan(C,A)|B=C.
% 242.68/242.86 ** KEPT (pick-wt=19): 18 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 242.68/242.86 ** KEPT (pick-wt=11): 19 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 242.68/242.86 ** KEPT (pick-wt=11): 20 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 242.68/242.86 ** KEPT (pick-wt=20): 21 [] -class_Orderings_Oorder(A)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(B,A),c_SetInterval_Oord__class_OatLeast(B,A),tc_fun(A,tc_bool))=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 242.68/242.86 ** KEPT (pick-wt=17): 22 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 242.68/242.86 ** KEPT (pick-wt=17): 23 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 242.68/242.86 ** KEPT (pick-wt=17): 24 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 242.68/242.86 ** KEPT (pick-wt=17): 25 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 242.68/242.86 ** KEPT (pick-wt=13): 27 [copy,26,flip.2] -class_Lattices_Oboolean__algebra(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 242.68/242.86 ** KEPT (pick-wt=14): 28 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 242.68/242.86 ** KEPT (pick-wt=14): 29 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 242.68/242.86 ** KEPT (pick-wt=21): 30 [] -class_Orderings_Olinorder(A)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OgreaterThan(C,A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeast(B,A)| -c_lesse_quals(B,C,A).
% 242.68/242.86 ** KEPT (pick-wt=15): 31 [] -class_HOL_Oord(A)|c_HOL_Oord__class_Oless(B,C,A)| -hBOOL(hAPP(hAPP(c_in(A),C),c_SetInterval_Oord__class_OgreaterThan(B,A))).
% 242.68/242.86 ** KEPT (pick-wt=15): 32 [] -class_HOL_Oord(A)|hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord__class_OgreaterThan(C,A)))| -c_HOL_Oord__class_Oless(C,B,A).
% 242.68/242.86 ** KEPT (pick-wt=17): 34 [copy,33,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 242.68/242.86 ** KEPT (pick-wt=38): 35 [] 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)).
% 242.68/242.86 ** KEPT (pick-wt=11): 36 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 242.68/242.86 ** KEPT (pick-wt=11): 37 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 242.68/242.86 ** KEPT (pick-wt=17): 38 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 242.68/242.86 ** KEPT (pick-wt=17): 39 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 242.68/242.86 ** KEPT (pick-wt=15): 40 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 242.68/242.86 ** KEPT (pick-wt=15): 41 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)|c_HOL_Oord__class_Oless(B,C,A).
% 242.68/242.86 ** KEPT (pick-wt=26): 42 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(D,E,A)| -c_lesse_quals(E,B,A)| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(E,B,A),c_SetInterval_Oord__class_OatLeastAtMost(D,C,A),tc_fun(A,tc_bool)).
% 242.68/242.86 ** KEPT (pick-wt=14): 43 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 242.68/242.86 ** KEPT (pick-wt=14): 44 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 242.68/242.86 ** KEPT (pick-wt=17): 45 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 242.68/242.86 ** KEPT (pick-wt=17): 46 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 242.68/242.86 ** KEPT (pick-wt=13): 47 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B.
% 242.68/242.86 ** KEPT (pick-wt=19): 48 [] -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)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 242.68/242.86 ** KEPT (pick-wt=18): 49 [] -class_Orderings_Oorder(A)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OgreaterThan(C,A),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 242.68/242.86 ** KEPT (pick-wt=24): 50 [] -class_Orderings_Oorder(A)|c_HOL_Ominus__class_Ominus(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),c_SetInterval_Oord__class_OlessThan(B,A),tc_fun(A,tc_bool))=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 242.68/242.86 ** KEPT (pick-wt=32): 51 [] 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)).
% 242.68/242.86 ** KEPT (pick-wt=13): 52 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(C,A,tc_fun(D,tc_bool)),B)).
% 242.68/242.86 ** KEPT (pick-wt=13): 53 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B)).
% 242.68/242.86 ** KEPT (pick-wt=21): 54 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))| -c_lesse_quals(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.68/242.86 ** KEPT (pick-wt=21): 55 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|c_lesse_quals(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.68/242.86 ** KEPT (pick-wt=22): 56 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(C,D,A)| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(C,D,A),c_SetInterval_Oord__class_OatLeastAtMost(B,E,A),tc_fun(A,tc_bool)).
% 242.68/242.86 ** KEPT (pick-wt=22): 57 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,B,A)| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(D,B,A),c_SetInterval_Oord__class_OatLeastAtMost(E,C,A),tc_fun(A,tc_bool)).
% 242.68/242.86 ** KEPT (pick-wt=22): 58 [] 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,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.68/242.86 ** KEPT (pick-wt=22): 59 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 242.68/242.86 ** KEPT (pick-wt=9): 60 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 242.68/242.86 ** KEPT (pick-wt=9): 61 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 242.68/242.86 Following clause subsumed by 60 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 242.68/242.86 Following clause subsumed by 60 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 242.68/242.86 Following clause subsumed by 60 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 242.68/242.86 ** KEPT (pick-wt=13): 62 [] -class_Lattices_Oupper__semilattice(A)|c_HOL_Oord__class_Oless(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_HOL_Oord__class_Oless(B,C,A).
% 242.68/242.86 ** KEPT (pick-wt=13): 63 [] -class_Lattices_Oupper__semilattice(A)|c_HOL_Oord__class_Oless(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 242.68/242.86 ** KEPT (pick-wt=13): 64 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_HOL_Ominus__class_Ominus(C,B,A).
% 242.68/242.86 ** KEPT (pick-wt=19): 65 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 242.68/242.86 ** KEPT (pick-wt=14): 66 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 242.68/242.86 Following clause subsumed by 66 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 242.68/242.86 ** KEPT (pick-wt=14): 67 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 242.68/242.86 Following clause subsumed by 67 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 242.68/242.86 ** KEPT (pick-wt=26): 68 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 242.68/242.86 Following clause subsumed by 68 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 242.68/242.86 ** KEPT (pick-wt=17): 69 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 242.68/242.86 Following clause subsumed by 69 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 242.68/242.86 ** KEPT (pick-wt=23): 70 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(E,A,D,tc_fun(F,tc_bool)),C)).
% 242.68/242.86 Following clause subsumed by 70 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(D,B),E))| -hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,D,A,tc_fun(F,tc_bool)),E)).
% 242.68/242.86 Following clause subsumed by 70 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(E,A,D,tc_fun(F,tc_bool)),C)).
% 242.68/242.86 ** KEPT (pick-wt=19): 71 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 242.68/242.86 ** KEPT (pick-wt=19): 72 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 242.68/242.86 ** KEPT (pick-wt=10): 73 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 242.68/242.86 Following clause subsumed by 73 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 242.68/242.86 Following clause subsumed by 73 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 242.68/242.86 Following clause subsumed by 73 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 242.68/242.86 ** KEPT (pick-wt=20): 74 [] hBOOL(hAPP(hAPP(c_in(A),B),C))|B=D| -hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(D,C,A))).
% 242.68/242.86 ** KEPT (pick-wt=26): 75 [] hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Oupper__semilattice__class_Osup(D,C,tc_fun(A,tc_bool)))).
% 242.68/242.86 ** KEPT (pick-wt=29): 76 [] hBOOL(hAPP(hAPP(c_in(A),B),hAPP(C,D)))| -hBOOL(hAPP(hAPP(c_in(E),D),F))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(F,C,E,tc_fun(A,tc_bool)))).
% 242.68/242.86 Following clause subsumed by 76 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),E),hAPP(F,B)))| -hBOOL(hAPP(hAPP(c_in(D),E),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,F,A,tc_fun(D,tc_bool)))).
% 242.68/242.86 Following clause subsumed by 76 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),hAPP(C,D)))| -hBOOL(hAPP(hAPP(c_in(E),D),F))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(F,C,E,tc_fun(A,tc_bool)))).
% 242.68/242.86 ** KEPT (pick-wt=19): 77 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ominus__class_Ominus(D,C,tc_fun(A,tc_bool)))).
% 242.68/242.86 ** KEPT (pick-wt=19): 78 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool)))).
% 242.68/242.86 ** KEPT (pick-wt=18): 79 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ouminus__class_Ouminus(C,tc_fun(A,tc_bool)))).
% 242.68/242.86 ** KEPT (pick-wt=20): 80 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_HOL_Oord__class_Oless(D,C,tc_fun(A,tc_bool)).
% 242.68/242.86 ** KEPT (pick-wt=19): 81 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(D,C,tc_fun(A,tc_bool)))).
% 242.68/242.86 ** KEPT (pick-wt=19): 82 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool)))).
% 242.68/242.86 Following clause subsumed by 73 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 242.68/242.86 ** KEPT (pick-wt=22): 83 [] c_COMBC(c_in(A),B,A,tc_fun(A,tc_bool),tc_bool)!=c_COMBC(c_in(A),C,A,tc_fun(A,tc_bool),tc_bool)|B=C.
% 242.68/242.86 ** KEPT (pick-wt=26): 84 [] hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool))))|hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 242.68/242.86 Following clause subsumed by 84 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool))))|hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 242.68/242.86 ** KEPT (pick-wt=26): 85 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|hBOOL(hAPP(hAPP(c_in(C),A),D))|hBOOL(hAPP(hAPP(c_in(C),A),B))|B=D.
% 242.68/242.86 ** KEPT (pick-wt=29): 86 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),hAPP(D,F)))| -hBOOL(hAPP(hAPP(c_in(E),F),C)).
% 242.68/242.86 Following clause subsumed by 86 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),hAPP(D,F)))| -hBOOL(hAPP(hAPP(c_in(E),F),C)).
% 242.68/242.86 ** KEPT (pick-wt=20): 87 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 242.68/242.86 Following clause subsumed by 87 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 242.68/242.86 Following clause subsumed by 87 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 242.68/242.86 ** KEPT (pick-wt=20): 88 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),c_Set_Ovimage(B,D,E,A))).
% 242.68/242.86 Following clause subsumed by 88 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),c_Set_Ovimage(B,D,E,A))).
% 242.68/242.86 ** KEPT (pick-wt=13): 89 [] c_Set_Oinsert(A,B,C)=B| -hBOOL(hAPP(hAPP(c_in(C),A),B)).
% 242.68/242.86 ** KEPT (pick-wt=23): 90 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),E))| -hBOOL(hAPP(hAPP(B,F),E))| -hBOOL(hAPP(hAPP(c_in(C),F),A)).
% 242.68/242.86 Following clause subsumed by 90 during input processing: 0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),E))| -hBOOL(hAPP(hAPP(B,F),E))| -hBOOL(hAPP(hAPP(c_in(C),F),A)).
% 242.68/242.86 ** KEPT (pick-wt=14): 91 [] -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).
% 242.68/242.86 ** KEPT (pick-wt=18): 92 [] 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)).
% 242.68/242.86 ** KEPT (pick-wt=14): 93 [] -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).
% 242.68/242.86 ** KEPT (pick-wt=8): 94 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 242.68/242.86 ** KEPT (pick-wt=20): 96 [copy,95,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 242.68/242.86 ** KEPT (pick-wt=20): 98 [copy,97,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 242.68/242.86 ** KEPT (pick-wt=19): 99 [] -class_Lattices_Olattice(A)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(t_a,A)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(B,v_x),hAPP(C,v_x),A).
% 242.68/242.86 ** KEPT (pick-wt=19): 100 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool))=A.
% 242.68/242.86 ** KEPT (pick-wt=16): 101 [] A=B| -hBOOL(hAPP(hAPP(c_in(C),A),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))).
% 242.68/242.86 ** KEPT (pick-wt=26): 102 [] -class_Orderings_Olinorder(A)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)| -c_lesse_quals(B,C,A).
% 242.68/242.86 ** KEPT (pick-wt=33): 103 [] 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(hAPP(hAPP(c_in(C),B),A))| -c_lesse_quals(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)).
% 242.68/242.86 ** KEPT (pick-wt=33): 104 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),B),A))| -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)).
% 242.68/242.86 Following clause subsumed by 104 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),B),A))| -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)).
% 242.68/242.86 ** KEPT (pick-wt=23): 105 [] 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(hAPP(hAPP(c_in(C),A),D)).
% 242.68/242.86 ** KEPT (pick-wt=19): 106 [] -class_Orderings_Oorder(A)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 242.68/242.86 ** KEPT (pick-wt=13): 107 [] -class_Orderings_Olinorder(A)|c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatLeast(B,A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OlessThan(B,A).
% 242.68/242.86 ** KEPT (pick-wt=18): 108 [] -class_Orderings_Oorder(A)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),c_SetInterval_Oord__class_OatLeast(C,A),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 242.68/242.86 ** KEPT (pick-wt=40): 109 [] 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(hAPP(hAPP(c_in(C),B),A))|hBOOL(hAPP(hAPP(c_in(C),B),D))| -c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)).
% 242.68/242.86 ** KEPT (pick-wt=40): 110 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),B),A))| -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(hAPP(hAPP(c_in(D),B),C)).
% 242.68/242.86 ** KEPT (pick-wt=11): 111 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 242.68/242.86 ** KEPT (pick-wt=11): 112 [] -class_Lattices_Oboolean__algebra(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_HOL_Ouminus__class_Ouminus(B,A),A)=c_Orderings_Obot__class_Obot(A).
% 242.68/242.86 ** KEPT (pick-wt=11): 113 [] -class_Lattices_Oboolean__algebra(A)|c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_Orderings_Obot__class_Obot(A).
% 242.68/242.86 ** KEPT (pick-wt=16): 114 [] 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)).
% 242.68/242.86 ** KEPT (pick-wt=15): 115 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Complete__Lattice_OInf__class_OInf(C,A),A).
% 242.68/242.86 ** KEPT (pick-wt=39): 116 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),B),A))| -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)).
% 242.68/242.86 ** KEPT (pick-wt=15): 117 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Complete__Lattice_OSup__class_OSup(C,A),A).
% 242.68/242.86 ** KEPT (pick-wt=15): 118 [] -class_HOL_Oord(A)|c_HOL_Oord__class_Oless(B,C,A)| -hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord__class_OlessThan(C,A))).
% 242.68/242.86 ** KEPT (pick-wt=15): 119 [] -class_HOL_Oord(A)|hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord__class_OlessThan(C,A)))| -c_HOL_Oord__class_Oless(B,C,A).
% 242.68/242.86 ** KEPT (pick-wt=9): 120 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 242.68/242.86 ** KEPT (pick-wt=12): 121 [] -class_Orderings_Olinorder(A)|c_SetInterval_Oord__class_OgreaterThan(B,A)!=c_SetInterval_Oord__class_OgreaterThan(C,A)|B=C.
% 242.68/242.86 ** KEPT (pick-wt=14): 122 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 242.68/242.86 ** KEPT (pick-wt=27): 123 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))|hAPP(B,E)=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(C),E),A)).
% 242.68/242.86 ** KEPT (pick-wt=10): 124 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Orderings_Obot__class_Obot(A),A)=c_Orderings_Obot__class_Obot(A).
% 242.68/242.86 ** KEPT (pick-wt=10): 125 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(A),B,A)=c_Orderings_Obot__class_Obot(A).
% 242.68/242.86 ** KEPT (pick-wt=29): 126 [] c_Lattices_Oupper__semilattice__class_Osup(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),B),C)).
% 242.68/242.86 ** KEPT (pick-wt=11): 127 [] -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).
% 242.68/242.86 ** KEPT (pick-wt=29): 128 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))!=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))|c_lesse_quals(D,A,tc_fun(C,tc_bool)).
% 242.68/242.86 ** KEPT (pick-wt=29): 129 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(D,A,tc_fun(C,tc_bool)).
% 242.68/242.86 ** KEPT (pick-wt=8): 130 [] c_Suc(A)!=c_Suc(B)|A=B.
% 242.68/242.86 Following clause subsumed by 130 during input processing: 0 [] c_Suc(A)!=c_Suc(B)|A=B.
% 242.68/242.86 ** KEPT (pick-wt=9): 131 [] -c_HOL_Oord__class_Oless(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 242.68/242.86 ** KEPT (pick-wt=17): 132 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 242.68/242.86 ** KEPT (pick-wt=13): 133 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 242.68/242.86 ** KEPT (pick-wt=13): 134 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 242.68/242.86 ** KEPT (pick-wt=17): 135 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 242.68/242.86 ** KEPT (pick-wt=17): 136 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 242.68/242.86 ** KEPT (pick-wt=17): 137 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 242.68/242.86 ** KEPT (pick-wt=17): 138 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 242.68/242.86 ** KEPT (pick-wt=27): 139 [] -class_Orderings_Olinorder(A)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastLessThan(B,D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=27): 140 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(A,tc_bool))|hAPP(C,E)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),E),B)).
% 242.68/242.87 ** KEPT (pick-wt=9): 141 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B.
% 242.68/242.87 ** KEPT (pick-wt=9): 142 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B.
% 242.68/242.87 ** KEPT (pick-wt=14): 143 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_HOL_Oord__class_Oless(C,B,A).
% 242.68/242.87 ** KEPT (pick-wt=14): 144 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(C,A),c_HOL_Ouminus__class_Ouminus(B,A),A).
% 242.68/242.87 ** KEPT (pick-wt=13): 145 [] -class_Orderings_Olinorder(A)|c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatMost(B,A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OgreaterThan(B,A).
% 242.68/242.87 ** KEPT (pick-wt=27): 146 [] -class_Orderings_Olinorder(A)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(C,D,A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(B,D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=7): 147 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 242.68/242.87 ** KEPT (pick-wt=22): 148 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -hBOOL(hAPP(hAPP(c_in(C),D),B))| -c_HOL_Oord__class_Oless(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=22): 149 [] c_HOL_Oord__class_Oless(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),B),C))| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=25): 150 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))|c_Lattices_Olower__semilattice__class_Oinf(D,C,tc_fun(A,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=21): 151 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A),A).
% 242.68/242.87 ** KEPT (pick-wt=20): 152 [] -class_Orderings_Olinorder(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),c_SetInterval_Oord__class_OgreaterThan(B,A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeast(B,A).
% 242.68/242.87 ** KEPT (pick-wt=19): 153 [] -class_Orderings_Oorder(A)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(C,D,A),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=20): 154 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),c_Set_Oimage(E,C,A,D))).
% 242.68/242.87 Following clause subsumed by 154 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),c_Set_Oimage(E,C,A,D))).
% 242.68/242.87 Following clause subsumed by 154 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(E),C),D)).
% 242.68/242.87 Following clause subsumed by 154 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(E),C),D)).
% 242.68/242.87 ** KEPT (pick-wt=13): 155 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 242.68/242.87 Following clause subsumed by 155 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C| -c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=13): 156 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|B=C.
% 242.68/242.87 Following clause subsumed by 156 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 242.68/242.87 Following clause subsumed by 156 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 242.68/242.87 Following clause subsumed by 156 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=13): 157 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|C=B.
% 242.68/242.87 Following clause subsumed by 157 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B| -c_lesse_quals(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=19): 158 [] -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).
% 242.68/242.87 ** KEPT (pick-wt=19): 159 [] -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).
% 242.68/242.87 ** KEPT (pick-wt=14): 160 [] -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).
% 242.68/242.87 ** KEPT (pick-wt=14): 161 [] -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).
% 242.68/242.87 ** KEPT (pick-wt=14): 162 [] -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).
% 242.68/242.87 ** KEPT (pick-wt=14): 163 [] -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).
% 242.68/242.87 ** KEPT (pick-wt=13): 164 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 242.68/242.87 ** KEPT (pick-wt=13): 165 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 242.68/242.87 ** KEPT (pick-wt=13): 166 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=13): 167 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,D,A).
% 242.68/242.87 Following clause subsumed by 164 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 242.68/242.87 Following clause subsumed by 165 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 242.68/242.87 ** KEPT (pick-wt=14): 168 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(B,c_Inductive_Ocomplete__lattice__class_Ogfp(C,A),A)| -c_lesse_quals(B,hAPP(C,B),A).
% 242.68/242.87 ** KEPT (pick-wt=9): 169 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 242.68/242.87 ** KEPT (pick-wt=9): 170 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 242.68/242.87 ** KEPT (pick-wt=17): 171 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 242.68/242.87 Following clause subsumed by 171 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 242.68/242.87 Following clause subsumed by 171 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=9): 172 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 242.68/242.87 ** KEPT (pick-wt=9): 173 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 242.68/242.87 ** KEPT (pick-wt=12): 174 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=12): 175 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|c_lesse_quals(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=12): 176 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A).
% 242.68/242.87 ** KEPT (pick-wt=10): 177 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=10): 178 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=14): 179 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=7): 180 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 242.68/242.87 ** KEPT (pick-wt=14): 181 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(C,B,A).
% 242.68/242.87 ** KEPT (pick-wt=14): 182 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(C,A),c_HOL_Ouminus__class_Ouminus(B,A),A).
% 242.68/242.87 ** KEPT (pick-wt=10): 183 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 242.68/242.87 ** KEPT (pick-wt=10): 184 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,B,A)| -c_HOL_Oord__class_Oless(B,B,A).
% 242.68/242.87 Following clause subsumed by 183 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lesse_quals(B,B,A).
% 242.68/242.87 ** KEPT (pick-wt=10): 185 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(C,B,A).
% 242.68/242.87 Following clause subsumed by 183 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 242.68/242.87 Following clause subsumed by 185 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 242.68/242.87 Following clause subsumed by 183 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 242.68/242.87 ** KEPT (pick-wt=10): 186 [] -class_Orderings_Opreorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 242.68/242.87 ** KEPT (pick-wt=12): 187 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=B| -c_lesse_quals(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=12): 188 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=B|c_lesse_quals(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=12): 189 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=C| -c_lesse_quals(C,B,A).
% 242.68/242.87 ** KEPT (pick-wt=17): 190 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 242.68/242.87 ** KEPT (pick-wt=9): 191 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 242.68/242.87 ** KEPT (pick-wt=9): 192 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 242.68/242.87 Following clause subsumed by 190 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 242.68/242.87 Following clause subsumed by 190 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 242.68/242.87 ** KEPT (pick-wt=9): 193 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 242.68/242.87 ** KEPT (pick-wt=9): 194 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 242.68/242.87 ** KEPT (pick-wt=13): 195 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 242.68/242.87 ** KEPT (pick-wt=13): 196 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 242.68/242.87 ** KEPT (pick-wt=13): 197 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_lesse_quals(B,D,A).
% 242.68/242.87 ** KEPT (pick-wt=13): 198 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_lesse_quals(C,D,A).
% 242.68/242.87 Following clause subsumed by 195 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 242.68/242.87 Following clause subsumed by 196 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 242.68/242.87 ** KEPT (pick-wt=14): 199 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 242.68/242.87 Following clause subsumed by 199 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 242.68/242.87 ** KEPT (pick-wt=14): 200 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 242.68/242.87 Following clause subsumed by 200 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 242.68/242.87 ** KEPT (pick-wt=36): 201 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Inductive_Ocomplete__lattice__class_Ogfp(D,tc_fun(A,tc_bool))))| -c_lesse_quals(c_Set_Oimage(B,E,F,A),hAPP(D,c_Set_Oimage(B,E,F,A)),tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_in(F),C),E)).
% 242.68/242.87 ** KEPT (pick-wt=28): 202 [] 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(hAPP(hAPP(c_in(D),B),A))| -c_HOL_Oord__class_Oless(A,C,tc_fun(D,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=29): 203 [] 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(hAPP(hAPP(c_in(D),B),A))|hBOOL(hAPP(hAPP(c_in(D),B),C)).
% 242.68/242.87 ** KEPT (pick-wt=29): 204 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),D),A))|hBOOL(hAPP(hAPP(c_in(C),D),B))| -c_HOL_Oord__class_Oless(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=14): 205 [] -class_HOL_Oord(A)|c_lesse_quals(B,C,tc_fun(D,A))| -c_HOL_Oord__class_Oless(B,C,tc_fun(D,A)).
% 242.68/242.87 ** KEPT (pick-wt=20): 206 [] -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)).
% 242.68/242.87 ** KEPT (pick-wt=14): 207 [] -class_HOL_Oord(A)| -c_lesse_quals(B,C,tc_fun(D,A))| -c_HOL_Oord__class_Oless(C,B,tc_fun(D,A)).
% 242.68/242.87 ** KEPT (pick-wt=15): 208 [] A=B|c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 242.68/242.87 Following clause subsumed by 208 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))|A=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=18): 209 [] 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)).
% 242.68/242.87 ** KEPT (pick-wt=20): 210 [] -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)).
% 242.68/242.87 Following clause subsumed by 210 during input processing: 0 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=25): 211 [] 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)).
% 242.68/242.87 ** KEPT (pick-wt=28): 212 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=18): 213 [] 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)).
% 242.68/242.87 ** KEPT (pick-wt=18): 214 [] 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)).
% 242.68/242.87 ** KEPT (pick-wt=17): 215 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=17): 216 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=13): 217 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -hBOOL(hAPP(B,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(A,B,C))).
% 242.68/242.87 ** KEPT (pick-wt=23): 218 [] c_lesse_quals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_lesse_quals(A,B,tc_fun(D,tc_bool)).
% 242.68/242.87 Following clause subsumed by 218 during input processing: 0 [] c_lesse_quals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_lesse_quals(A,B,tc_fun(D,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=28): 219 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=15): 220 [] 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)).
% 242.68/242.87 ** KEPT (pick-wt=14): 221 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=B|c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=14): 222 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=14): 223 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=15): 224 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(C,B,A).
% 242.68/242.87 ** KEPT (pick-wt=6): 225 [] -c_HOL_Oord__class_Oless(A,A,tc_fun(B,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=6): 226 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 242.68/242.87 ** KEPT (pick-wt=6): 227 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 242.68/242.87 ** KEPT (pick-wt=6): 228 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 242.68/242.87 ** KEPT (pick-wt=11): 229 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=B.
% 242.68/242.87 ** KEPT (pick-wt=15): 230 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_HOL_Oord__class_Oless(C,B,A).
% 242.68/242.87 ** KEPT (pick-wt=12): 231 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 242.68/242.87 ** KEPT (pick-wt=12): 232 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 242.68/242.87 ** KEPT (pick-wt=14): 233 [] c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool))!=c_HOL_Ouminus__class_Ouminus(C,tc_fun(B,tc_bool))|A=C.
% 242.68/242.87 ** KEPT (pick-wt=30): 234 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))| -c_lesse_quals(D,E,A)| -c_HOL_Oord__class_Oless(C,E,A)| -c_lesse_quals(C,E,A)| -c_lesse_quals(D,B,A).
% 242.68/242.87 ** KEPT (pick-wt=30): 235 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))| -c_lesse_quals(D,E,A)| -c_HOL_Oord__class_Oless(D,B,A)| -c_lesse_quals(C,E,A)| -c_lesse_quals(D,B,A).
% 242.68/242.87 ** KEPT (pick-wt=20): 236 [] -class_Orderings_Olinorder(A)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(B,A),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatMost(B,A).
% 242.68/242.87 ** KEPT (pick-wt=13): 237 [] -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.
% 242.68/242.87 ** KEPT (pick-wt=13): 238 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 242.68/242.87 Following clause subsumed by 238 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.
% 242.68/242.87 Following clause subsumed by 238 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).
% 242.68/242.87 Following clause subsumed by 238 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).
% 242.68/242.87 ** KEPT (pick-wt=11): 239 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=B.
% 242.68/242.87 ** KEPT (pick-wt=13): 240 [] -class_Lattices_Olower__semilattice(A)|c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_HOL_Oord__class_Oless(C,D,A).
% 242.68/242.87 ** KEPT (pick-wt=13): 241 [] -class_Lattices_Olower__semilattice(A)|c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 242.68/242.87 ** KEPT (pick-wt=27): 242 [] 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.
% 242.68/242.87 ** KEPT (pick-wt=27): 243 [] 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.
% 242.68/242.87 ** KEPT (pick-wt=27): 244 [] 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.
% 242.68/242.87 ** KEPT (pick-wt=27): 245 [] 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.
% 242.68/242.87 ** KEPT (pick-wt=21): 246 [] -class_Orderings_Olinorder(A)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(B,A),c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OlessThan(C,A)| -c_lesse_quals(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=12): 247 [] -class_Orderings_Olinorder(A)|c_SetInterval_Oord__class_OatLeast(B,A)!=c_SetInterval_Oord__class_OatLeast(C,A)|B=C.
% 242.68/242.87 ** KEPT (pick-wt=15): 248 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)|c_lesse_quals(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=15): 249 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)| -c_lesse_quals(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=9): 250 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=26): 252 [copy,251,flip.1] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),A),C)).
% 242.68/242.87 ** KEPT (pick-wt=26): 254 [copy,253,flip.1] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),A),B)).
% 242.68/242.87 ** KEPT (pick-wt=22): 255 [] hAPP(A,B)=C| -hBOOL(hAPP(hAPP(c_in(D),B),c_Set_Ovimage(A,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),D,E))).
% 242.68/242.87 ** KEPT (pick-wt=15): 256 [] -class_HOL_Ouminus(A)|hAPP(c_HOL_Ouminus__class_Ouminus(B,tc_fun(t_a,A)),v_x)=c_HOL_Ouminus__class_Ouminus(hAPP(B,v_x),A).
% 242.68/242.87 ** KEPT (pick-wt=20): 257 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 242.68/242.87 ** KEPT (pick-wt=20): 258 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 242.68/242.87 ** KEPT (pick-wt=14): 259 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=14): 260 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=21): 261 [] -class_Orderings_Olinorder(A)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(B,A),c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatMost(C,A)| -c_lesse_quals(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=4): 262 [] c_Suc(A)!=A.
% 242.68/242.87 Following clause subsumed by 262 during input processing: 0 [flip.1] c_Suc(A)!=A.
% 242.68/242.87 ** KEPT (pick-wt=24): 263 [] 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(hAPP(hAPP(c_in(C),A),B)).
% 242.68/242.87 ** KEPT (pick-wt=8): 264 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,B,A)=B.
% 242.68/242.87 ** KEPT (pick-wt=19): 265 [] -class_Lattices_Olattice(A)|hAPP(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(t_a,A)),v_x)=c_Lattices_Olower__semilattice__class_Oinf(hAPP(B,v_x),hAPP(C,v_x),A).
% 242.68/242.87 ** KEPT (pick-wt=13): 266 [] -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.
% 242.68/242.87 ** KEPT (pick-wt=15): 267 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|c_HOL_Oord__class_Oless(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=15): 268 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_HOL_Oord__class_Oless(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=16): 269 [] 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)).
% 242.68/242.87 ** KEPT (pick-wt=18): 270 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),tc_fun(A,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=15): 271 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|c_lesse_quals(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=15): 272 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=23): 273 [] -class_Orderings_Olinorder(A)|c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),c_SetInterval_Oord__class_OatLeastLessThan(B,D,A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastLessThan(D,C,A)| -c_lesse_quals(B,D,A).
% 242.68/242.87 ** KEPT (pick-wt=12): 274 [] -class_Orderings_Olinorder(A)|c_SetInterval_Oord__class_OatMost(B,A)!=c_SetInterval_Oord__class_OatMost(C,A)|B=C.
% 242.68/242.87 ** KEPT (pick-wt=16): 275 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=29): 276 [] c_Lattices_Olower__semilattice__class_Oinf(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,A,D,tc_fun(E,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),B),C)).
% 242.68/242.87 ** KEPT (pick-wt=24): 277 [] c_Fun_Ocomp(A,B,C,D,E)!=c_Fun_Ocomp(F,G,H,D,E)|hAPP(A,hAPP(B,I))=hAPP(F,hAPP(G,I)).
% 242.68/242.87 ** KEPT (pick-wt=28): 278 [] hAPP(A,hAPP(B,C))!=hAPP(D,hAPP(E,F))|hAPP(c_Fun_Ocomp(A,B,G,H,I),C)=hAPP(c_Fun_Ocomp(D,E,J,H,K),F).
% 242.68/242.87 ** KEPT (pick-wt=27): 279 [] 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)).
% 242.68/242.87 ** KEPT (pick-wt=13): 280 [] -class_Orderings_Olinorder(A)|c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OgreaterThan(B,A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatMost(B,A).
% 242.68/242.87 ** KEPT (pick-wt=14): 281 [] hBOOL(hAPP(A,hAPP(B,C)))| -hBOOL(hAPP(c_Set_Ovimage(B,A,D,E),C)).
% 242.68/242.87 ** KEPT (pick-wt=14): 282 [] hBOOL(hAPP(c_Set_Ovimage(A,B,C,D),E))| -hBOOL(hAPP(B,hAPP(A,E))).
% 242.68/242.87 ** KEPT (pick-wt=24): 283 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,C,tc_Hoare__Mirabelle_Otriple(D)),D)| -c_Hoare__Mirabelle_Ohoare__derivs(A,C,D)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(D),tc_bool)),tc_Hoare__Mirabelle_Otriple(D)),D).
% 242.68/242.87 ** KEPT (pick-wt=17): 284 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D))| -hBOOL(hAPP(A,D)).
% 242.68/242.87 ** KEPT (pick-wt=17): 286 [copy,285,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=19): 287 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_HOL_Oord__class_Oless(D,E,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=19): 288 [] -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).
% 242.68/242.87 ** KEPT (pick-wt=18): 289 [] -class_Orderings_Oorder(A)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(B,A),c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=21): 290 [] -class_Orderings_Olinorder(A)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),c_SetInterval_Oord__class_OatLeast(C,A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeast(B,A)| -c_lesse_quals(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=18): 291 [] -class_Orderings_Oorder(A)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(B,A),c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=22): 292 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))| -c_lesse_quals(D,E,A)|c_lesse_quals(B,C,A).
% 242.68/242.87 ** KEPT (pick-wt=10): 293 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 242.68/242.87 ** KEPT (pick-wt=10): 294 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 242.68/242.87 ** KEPT (pick-wt=10): 295 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 242.68/242.87 Following clause subsumed by 295 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 242.68/242.87 ** KEPT (pick-wt=12): 296 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=28): 297 [] 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)).
% 242.68/242.87 ** KEPT (pick-wt=20): 298 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),c_HOL_Ouminus__class_Ouminus(C,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))| -c_lesse_quals(C,A,tc_fun(B,tc_bool)).
% 242.68/242.87 ** KEPT (pick-wt=20): 299 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),c_HOL_Ouminus__class_Ouminus(A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.68/242.88 Following clause subsumed by 298 during input processing: 0 [] c_lesse_quals(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),c_HOL_Ouminus__class_Ouminus(C,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))| -c_lesse_quals(C,A,tc_fun(B,tc_bool)).
% 242.68/242.88 ** KEPT (pick-wt=15): 300 [] 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)).
% 242.68/242.88 ** KEPT (pick-wt=15): 301 [] 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)).
% 242.68/242.88 ** KEPT (pick-wt=14): 302 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 242.68/242.88 ** KEPT (pick-wt=14): 303 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 242.68/242.88 ** KEPT (pick-wt=23): 304 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 242.68/242.88 Following clause subsumed by 304 during input processing: 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 242.68/242.88 ** KEPT (pick-wt=20): 305 [] 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)).
% 242.68/242.88 ** KEPT (pick-wt=17): 306 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.68/242.88 ** KEPT (pick-wt=17): 307 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.68/242.88 ** KEPT (pick-wt=12): 308 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(D,B,tc_Hoare__Mirabelle_Otriple(C)),C).
% 242.68/242.88 ** KEPT (pick-wt=9): 309 [] c_Hoare__Mirabelle_Otriple__valid(A,B,C)| -c_Hoare__Mirabelle_Otriple__valid(c_Suc(A),B,C).
% 242.68/242.88 ** KEPT (pick-wt=26): 310 [] c_Hoare__Mirabelle_Otriple__valid(A,B,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),B),C))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(D,A)),D))| -c_Hoare__Mirabelle_Ohoare__valids(D,C,t_a).
% 242.68/242.88 ** KEPT (pick-wt=19): 311 [] c_Hoare__Mirabelle_Otriple__valid(A,B,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),B),C))| -c_Hoare__Mirabelle_Otriple__valid(c_Suc(A),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(A,C),t_a).
% 242.68/242.88 ** KEPT (pick-wt=18): 312 [] c_Hoare__Mirabelle_Ohoare__valids(A,B,t_a)|c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(A,B),C,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),C),A)).
% 242.68/242.88 ** KEPT (pick-wt=22): 313 [] c_Hoare__Mirabelle_Otriple__valid(A,B,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),B),C))| -c_Hoare__Mirabelle_Otriple__valid(A,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(D,A),t_a)| -c_Hoare__Mirabelle_Ohoare__valids(D,C,t_a).
% 242.68/242.88 ** KEPT (pick-wt=15): 314 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(B,c_Complete__Lattice_OSup__class_OSup(C,A),A)| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 242.68/242.88 ** KEPT (pick-wt=15): 315 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(c_Complete__Lattice_OInf__class_OInf(B,A),C,A)| -hBOOL(hAPP(hAPP(c_in(A),C),B)).
% 242.68/242.88 ** KEPT (pick-wt=15): 316 [] -class_HOL_Oord(A)|hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord__class_OatMost(C,A)))| -c_lesse_quals(B,C,A).
% 242.68/242.88 ** KEPT (pick-wt=15): 317 [] -class_HOL_Oord(A)|c_lesse_quals(B,C,A)| -hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord__class_OatMost(C,A))).
% 242.68/242.88 ** KEPT (pick-wt=19): 318 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,C,D,A),hAPP(C,E),A)| -hBOOL(hAPP(hAPP(c_in(D),E),B)).
% 242.68/242.88 ** KEPT (pick-wt=15): 319 [] -class_HOL_Oord(A)|hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord__class_OatLeast(C,A)))| -c_lesse_quals(C,B,A).
% 242.68/242.88 ** KEPT (pick-wt=15): 320 [] -class_HOL_Oord(A)|c_lesse_quals(B,C,A)| -hBOOL(hAPP(hAPP(c_in(A),C),c_SetInterval_Oord__class_OatLeast(B,A))).
% 242.68/242.88 ** KEPT (pick-wt=19): 321 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(hAPP(B,C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,A),A)| -hBOOL(hAPP(hAPP(c_in(E),C),D)).
% 242.68/242.88 ** KEPT (pick-wt=22): 322 [] 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(hAPP(hAPP(c_in(C),A),D)).
% 242.68/242.88 ** KEPT (pick-wt=16): 323 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -hBOOL(hAPP(hAPP(c_in(C),c_ATP__Linkup_Osko__Set__XsubsetI__1__1(A,B,C)),B)).
% 242.68/242.88 ** KEPT (pick-wt=28): 324 [] c_lesse_quals(c_COMBC(c_in(A),B,A,tc_fun(A,tc_bool),tc_bool),c_COMBC(c_in(A),C,A,tc_fun(A,tc_bool),tc_bool),tc_fun(A,tc_bool))| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 242.68/242.88 ** KEPT (pick-wt=28): 325 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_COMBC(c_in(C),A,C,tc_fun(C,tc_bool),tc_bool),c_COMBC(c_in(C),B,C,tc_fun(C,tc_bool),tc_bool),tc_fun(C,tc_bool)).
% 242.68/242.88 ** KEPT (pick-wt=21): 326 [] c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,B,C,tc_fun(D,tc_bool)),hAPP(B,E),tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(C),E),A)).
% 242.68/242.88 ** KEPT (pick-wt=27): 327 [] c_lesse_quals(hAPP(A,B),C,tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(E),B),F))| -c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(F,A,E,tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 242.68/242.88 ** KEPT (pick-wt=27): 328 [] c_lesse_quals(A,hAPP(B,C),tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(E),C),F))| -c_lesse_quals(A,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(F,B,E,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 242.68/242.88 ** KEPT (pick-wt=21): 329 [] c_lesse_quals(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),B),C)).
% 242.68/242.88 ** KEPT (pick-wt=26): 330 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),F))| -c_lesse_quals(c_Set_Oimage(B,F,E,A),D,tc_fun(A,tc_bool)).
% 242.68/242.88 ** KEPT (pick-wt=16): 331 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -hBOOL(hAPP(hAPP(c_in(C),c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1(A,B,C)),B)).
% 242.68/242.88 ** KEPT (pick-wt=26): 332 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Inductive_Ocomplete__lattice__class_Ogfp(C,tc_fun(A,tc_bool))))| -c_lesse_quals(D,hAPP(C,D),tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 242.68/242.88 ** KEPT (pick-wt=16): 333 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -c_lesse_quals(c_Set_Oinsert(B,D,A),C,tc_fun(A,tc_bool)).
% 242.68/242.88 Following clause subsumed by 300 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(hAPP(hAPP(c_in(D),B),A)).
% 242.68/242.88 ** KEPT (pick-wt=22): 334 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),D),A))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 242.68/242.88 Following clause subsumed by 300 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(hAPP(hAPP(c_in(D),B),A)).
% 242.68/242.88 Following clause subsumed by 334 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(hAPP(hAPP(c_in(C),D),A)).
% 242.68/242.88 ** KEPT (pick-wt=24): 335 [] -class_HOL_Oord(A)|c_lesse_quals(B,C,tc_fun(D,A))| -c_lesse_quals(hAPP(B,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(B,C,D,A)),hAPP(C,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(B,C,D,A)),A).
% 242.68/242.88 ** KEPT (pick-wt=24): 336 [] -class_HOL_Oord(A)|c_lesse_quals(B,C,tc_fun(D,A))| -c_lesse_quals(hAPP(B,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(B,C,D,A)),hAPP(C,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(B,C,D,A)),A).
% 242.68/242.88 ** KEPT (pick-wt=16): 337 [] -class_Orderings_Oorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OatLeast(B,A),c_SetInterval_Oord__class_OatLeast(C,A),tc_fun(A,tc_bool))| -c_lesse_quals(C,B,A).
% 242.68/242.88 ** KEPT (pick-wt=16): 338 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeast(C,A),c_SetInterval_Oord__class_OatLeast(B,A),tc_fun(A,tc_bool)).
% 242.83/242.88 ** KEPT (pick-wt=18): 339 [] -class_Orderings_Oorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))|c_lesse_quals(B,C,A).
% 242.83/242.88 ** KEPT (pick-wt=22): 340 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(C,D,A),c_SetInterval_Oord__class_OatLeastAtMost(B,E,A),tc_fun(A,tc_bool)).
% 242.83/242.88 ** KEPT (pick-wt=22): 341 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,B,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(D,B,A),c_SetInterval_Oord__class_OatLeastAtMost(E,C,A),tc_fun(A,tc_bool)).
% 242.83/242.88 ** KEPT (pick-wt=22): 342 [] -class_Orderings_Oorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))| -c_lesse_quals(C,E,A)| -c_lesse_quals(D,B,A).
% 242.83/242.88 ** KEPT (pick-wt=16): 343 [] -class_Orderings_Oorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OatMost(B,A),c_SetInterval_Oord__class_OatMost(C,A),tc_fun(A,tc_bool))| -c_lesse_quals(B,C,A).
% 242.83/242.88 ** KEPT (pick-wt=16): 344 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatMost(B,A),c_SetInterval_Oord__class_OatMost(C,A),tc_fun(A,tc_bool)).
% 242.83/242.88 ** KEPT (pick-wt=16): 345 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OgreaterThan(B,A),c_SetInterval_Oord__class_OgreaterThan(C,A),tc_fun(A,tc_bool))| -c_lesse_quals(C,B,A).
% 242.83/242.88 ** KEPT (pick-wt=16): 346 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_SetInterval_Oord__class_OgreaterThan(C,A),c_SetInterval_Oord__class_OgreaterThan(B,A),tc_fun(A,tc_bool)).
% 242.83/242.88 ** KEPT (pick-wt=16): 347 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OlessThan(B,A),c_SetInterval_Oord__class_OlessThan(C,A),tc_fun(A,tc_bool))| -c_lesse_quals(B,C,A).
% 242.83/242.88 ** KEPT (pick-wt=16): 348 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_SetInterval_Oord__class_OlessThan(B,A),c_SetInterval_Oord__class_OlessThan(C,A),tc_fun(A,tc_bool)).
% 242.83/242.88 ** KEPT (pick-wt=22): 349 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(D,C,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),c_SetInterval_Oord__class_OatLeastLessThan(B,E,A),tc_fun(A,tc_bool)).
% 242.83/242.88 ** KEPT (pick-wt=22): 350 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(B,D,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastLessThan(D,B,A),c_SetInterval_Oord__class_OatLeastLessThan(E,C,A),tc_fun(A,tc_bool)).
% 242.83/242.88 ** KEPT (pick-wt=22): 351 [] c_Hoare__Mirabelle_Otriple__valid(A,B,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),B),C))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(A,C)),C)).
% 242.83/242.88 ** KEPT (pick-wt=10): 352 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 242.83/242.88 ** KEPT (pick-wt=15): 353 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_lesse_quals(B,D,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C).
% 242.83/242.88 ** KEPT (pick-wt=14): 354 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 242.83/242.88 ** KEPT (pick-wt=6): 355 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 242.83/242.88 ** KEPT (pick-wt=6): 356 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 242.83/242.88 Following clause subsumed by 354 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 242.83/242.88 ** KEPT (pick-wt=15): 357 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_lesse_quals(D,A,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C).
% 242.83/242.88 ** KEPT (pick-wt=18): 358 [] 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)).
% 242.83/242.88 ** KEPT (pick-wt=20): 359 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_lesse_quals(D,C,tc_fun(A,tc_bool)).
% 242.83/242.88 Following clause subsumed by 359 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -c_lesse_quals(D,C,tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 242.83/242.89 Following clause subsumed by 359 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_lesse_quals(D,C,tc_fun(A,tc_bool)).
% 242.83/242.89 Following clause subsumed by 359 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_lesse_quals(D,C,tc_fun(A,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=14): 360 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 242.83/242.89 ** KEPT (pick-wt=14): 361 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 242.83/242.89 ** KEPT (pick-wt=12): 362 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C)| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C).
% 242.83/242.89 ** KEPT (pick-wt=13): 363 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 242.83/242.89 Following clause subsumed by 363 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 242.83/242.89 Following clause subsumed by 363 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 242.83/242.89 ** KEPT (pick-wt=15): 364 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 242.83/242.89 Following clause subsumed by 364 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)).
% 242.83/242.89 ** KEPT (pick-wt=11): 365 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(C,B)).
% 242.83/242.89 ** KEPT (pick-wt=11): 366 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),A)).
% 242.83/242.89 ** KEPT (pick-wt=11): 367 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_lesse_quals(B,A,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=16): 368 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 242.83/242.89 ** KEPT (pick-wt=4): 369 [] -c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a).
% 242.83/242.89 ** KEPT (pick-wt=12): 370 [] c_Hoare__Mirabelle_Otriple__valid(v_x,A,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),A),v_Ga)).
% 242.83/242.89 ** KEPT (pick-wt=21): 371 [] c_Hoare__Mirabelle_Otriple__valid(A,B,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),B),v_ts_H))|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(A)),v_Ga)).
% 242.83/242.89 ** KEPT (pick-wt=17): 372 [] c_Hoare__Mirabelle_Otriple__valid(A,B,t_a)| -hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),B),v_ts_H))| -c_Hoare__Mirabelle_Otriple__valid(A,v_n(A),t_a).
% 242.83/242.89 ** KEPT (pick-wt=6): 373 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 242.83/242.89 ** KEPT (pick-wt=6): 374 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 242.83/242.89 ** KEPT (pick-wt=6): 375 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 242.83/242.89 ** KEPT (pick-wt=6): 376 [] class_Lattices_Odistrib__lattice(tc_fun(A,B))| -class_Lattices_Odistrib__lattice(B).
% 242.83/242.89 ** KEPT (pick-wt=6): 377 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 242.83/242.89 ** KEPT (pick-wt=6): 378 [] class_Lattices_Oboolean__algebra(tc_fun(A,B))| -class_Lattices_Oboolean__algebra(B).
% 242.83/242.89 ** KEPT (pick-wt=6): 379 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 242.83/242.89 ** KEPT (pick-wt=6): 380 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 242.83/242.89 ** KEPT (pick-wt=6): 381 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 242.83/242.89 ** KEPT (pick-wt=6): 382 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 242.83/242.89 ** KEPT (pick-wt=6): 383 [] class_HOL_Ouminus(tc_fun(A,B))| -class_HOL_Ouminus(B).
% 242.83/242.89 ** KEPT (pick-wt=6): 384 [] class_HOL_Ominus(tc_fun(A,B))| -class_HOL_Ominus(B).
% 242.83/242.89 ** KEPT (pick-wt=6): 385 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 242.83/242.89 ** KEPT (pick-wt=7): 386 [] A=B| -c_fe_qual(A,B,C).
% 242.83/242.89 Following clause subsumed by 250 during input processing: 0 [copy,120,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 242.83/242.89 120 back subsumes 10.
% 242.83/242.89 185 back subsumes 184.
% 242.83/242.89 Following clause subsumed by 120 during input processing: 0 [copy,250,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 242.83/242.89 300 back subsumes 51.
% 242.83/242.89
% 242.83/242.89 ------------> process sos:
% 242.83/242.89 ** KEPT (pick-wt=3): 426 [] A=A.
% 242.83/242.89 ** KEPT (pick-wt=28): 428 [copy,427,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 429 [new_demod,428] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=8): 430 [] c_Set_Ovimage(c_Fun_Oid(A),B,A,A)=B.
% 242.83/242.89 ---> New Demodulator: 431 [new_demod,430] c_Set_Ovimage(c_Fun_Oid(A),B,A,A)=B.
% 242.83/242.89 ** KEPT (pick-wt=18): 432 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 433 [new_demod,432] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=18): 434 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 435 [new_demod,434] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=23): 436 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),A),D)).
% 242.83/242.89 ** KEPT (pick-wt=23): 437 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool))|hBOOL(hAPP(hAPP(c_in(D),B),A)).
% 242.83/242.89 ** KEPT (pick-wt=19): 438 [] c_Set_Ovimage(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),D,C)=c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(A,B,D,C),tc_fun(D,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=53): 439 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 440 [new_demod,439] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=20): 441 [] 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).
% 242.83/242.89 ---> New Demodulator: 442 [new_demod,441] 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).
% 242.83/242.89 ** KEPT (pick-wt=13): 443 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=23): 444 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 445 [new_demod,444] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=23): 446 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=28): 447 [] 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)).
% 242.83/242.89 ** KEPT (pick-wt=17): 449 [copy,448,flip.1] c_Lattices_Olower__semilattice__class_Oinf(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 450 [new_demod,449] c_Lattices_Olower__semilattice__class_Oinf(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=13): 451 [] 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)).
% 242.83/242.89 ** KEPT (pick-wt=21): 452 [] 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).
% 242.83/242.89 ** KEPT (pick-wt=18): 453 [] 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)).
% 242.83/242.89 ---> New Demodulator: 454 [new_demod,453] 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)).
% 242.83/242.89 ** KEPT (pick-wt=14): 455 [] hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 242.83/242.89 ** KEPT (pick-wt=17): 456 [] c_HOL_Ominus__class_Ominus(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 242.83/242.89 ---> New Demodulator: 457 [new_demod,456] c_HOL_Ominus__class_Ominus(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 242.83/242.89 ** KEPT (pick-wt=15): 458 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 242.83/242.89 ** KEPT (pick-wt=20): 459 [] c_Set_Ovimage(c_Fun_Ocomp(A,B,C,D,E),F,E,D)=c_Set_Ovimage(B,c_Set_Ovimage(A,F,C,D),E,C).
% 242.83/242.89 ---> New Demodulator: 460 [new_demod,459] c_Set_Ovimage(c_Fun_Ocomp(A,B,C,D,E),F,E,D)=c_Set_Ovimage(B,c_Set_Ovimage(A,F,C,D),E,C).
% 242.83/242.89 ** KEPT (pick-wt=13): 461 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=8): 462 [] c_Set_Oimage(c_Fun_Oid(A),B,A,A)=B.
% 242.83/242.89 ---> New Demodulator: 463 [new_demod,462] c_Set_Oimage(c_Fun_Oid(A),B,A,A)=B.
% 242.83/242.89 ** KEPT (pick-wt=25): 464 [] c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(A,tc_fun(C,tc_bool)),c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 465 [new_demod,464] c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(A,tc_fun(C,tc_bool)),c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=17): 466 [] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=18): 467 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 468 [new_demod,467] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=13): 469 [] 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).
% 242.83/242.89 ** KEPT (pick-wt=21): 471 [copy,470,demod,450] c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(A,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 472 [new_demod,471] c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(A,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=16): 473 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=25): 474 [] c_Set_Ovimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),E,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=17): 475 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=26): 477 [copy,476,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(hAPP(hAPP(c_in(D),A),C)).
% 242.83/242.89 ** KEPT (pick-wt=24): 478 [] 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(hAPP(hAPP(c_in(C),A),B)).
% 242.83/242.89 ** KEPT (pick-wt=6): 479 [] hAPP(c_Fun_Oid(A),B)=B.
% 242.83/242.89 ---> New Demodulator: 480 [new_demod,479] hAPP(c_Fun_Oid(A),B)=B.
% 242.83/242.89 ** KEPT (pick-wt=11): 481 [] c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 242.83/242.89 ---> New Demodulator: 482 [new_demod,481] c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 242.83/242.89 ** KEPT (pick-wt=25): 483 [] c_Set_Ovimage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),E,D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=18): 484 [] hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ouminus__class_Ouminus(C,tc_fun(A,tc_bool))))|hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 242.83/242.89 ** KEPT (pick-wt=10): 485 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 242.83/242.89 Following clause subsumed by 485 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 242.83/242.89 Following clause subsumed by 485 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 242.83/242.89 ** KEPT (pick-wt=8): 486 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 242.83/242.89 ---> New Demodulator: 487 [new_demod,486] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 242.83/242.89 ** KEPT (pick-wt=9): 488 [] c_Fun_Ocomp(c_Fun_Oid(A),B,A,A,C)=B.
% 242.83/242.89 ---> New Demodulator: 489 [new_demod,488] c_Fun_Ocomp(c_Fun_Oid(A),B,A,A,C)=B.
% 242.83/242.89 ** KEPT (pick-wt=9): 490 [] c_Fun_Ocomp(A,c_Fun_Oid(B),B,C,B)=A.
% 242.83/242.89 ---> New Demodulator: 491 [new_demod,490] c_Fun_Ocomp(A,c_Fun_Oid(B),B,C,B)=A.
% 242.83/242.89 ** KEPT (pick-wt=28): 493 [copy,492,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 494 [new_demod,493] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=28): 496 [copy,495,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 497 [new_demod,496] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=11): 499 [copy,498,demod,450] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=15): 500 [] c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=19): 502 [copy,501,flip.1] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 503 [new_demod,502] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=19): 505 [copy,504,demod,503] c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(B,A,D),C,tc_fun(D,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=25): 506 [] 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)).
% 242.83/242.89 ** KEPT (pick-wt=14): 507 [] c_lesse_quals(c_Set_Oimage(A,c_Set_Ovimage(A,B,C,D),C,D),B,tc_fun(D,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=21): 508 [] c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(A,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 509 [new_demod,508] c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(A,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=27): 510 [] 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)).
% 242.83/242.89 ** KEPT (pick-wt=27): 511 [] 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)).
% 242.83/242.89 ** KEPT (pick-wt=19): 512 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,c_Set_Oinsert(hAPP(C,B),c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),A,D))).
% 242.83/242.89 ** KEPT (pick-wt=22): 514 [copy,513,flip.1] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(A,B,D),c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 515 [new_demod,514] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(A,B,D),c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=12): 516 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 242.83/242.89 ---> New Demodulator: 517 [new_demod,516] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 242.83/242.89 ** KEPT (pick-wt=16): 518 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=14): 519 [] c_Lattices_Olower__semilattice__class_Oinf(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)).
% 242.83/242.89 ---> New Demodulator: 520 [new_demod,519] c_Lattices_Olower__semilattice__class_Oinf(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)).
% 242.83/242.89 ** KEPT (pick-wt=14): 521 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 522 [new_demod,521] c_Lattices_Olower__semilattice__class_Oinf(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=17): 523 [] c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=D.
% 242.83/242.89 ---> New Demodulator: 524 [new_demod,523] c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=D.
% 242.83/242.89 ** KEPT (pick-wt=17): 525 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 242.83/242.89 ---> New Demodulator: 526 [new_demod,525] c_Lattices_Olower__semilattice__class_Oinf(A,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 242.83/242.89 ** KEPT (pick-wt=28): 527 [] c_lesse_quals(c_Set_Oimage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D,E),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=11): 528 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 242.83/242.89 ---> New Demodulator: 529 [new_demod,528] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 242.83/242.89 Following clause subsumed by 499 during input processing: 0 [] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=14): 530 [] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 242.83/242.89 ---> New Demodulator: 531 [new_demod,530] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 242.83/242.89 Following clause subsumed by 426 during input processing: 0 [demod,531] hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 242.83/242.89 ** KEPT (pick-wt=23): 532 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 533 [new_demod,532] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=23): 534 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=11): 535 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 242.83/242.89 ---> New Demodulator: 536 [new_demod,535] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 242.83/242.89 ** KEPT (pick-wt=11): 537 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 242.83/242.89 ---> New Demodulator: 538 [new_demod,537] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 242.83/242.89 ** KEPT (pick-wt=14): 539 [] 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)).
% 242.83/242.89 ---> New Demodulator: 540 [new_demod,539] 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)).
% 242.83/242.89 ** KEPT (pick-wt=17): 541 [] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=D.
% 242.83/242.89 ---> New Demodulator: 542 [new_demod,541] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=D.
% 242.83/242.89 ** KEPT (pick-wt=17): 543 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 242.83/242.89 ---> New Demodulator: 544 [new_demod,543] c_Lattices_Oupper__semilattice__class_Osup(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 242.83/242.89 ** KEPT (pick-wt=28): 545 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(D,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 546 [new_demod,545] c_Lattices_Olower__semilattice__class_Oinf(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(D,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=28): 547 [] c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 548 [new_demod,547] c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=28): 549 [] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 550 [new_demod,549] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=36): 551 [] hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_COMBC(c_in(t_a),A,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),B,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(t_a,tc_bool))).
% 242.83/242.89 ** KEPT (pick-wt=36): 552 [] hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),A,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),B,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(t_a,tc_bool))).
% 242.83/242.89 ** KEPT (pick-wt=11): 553 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=11): 554 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=12): 555 [] 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)).
% 242.83/242.89 ** KEPT (pick-wt=18): 556 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=A.
% 242.83/242.89 ---> New Demodulator: 557 [new_demod,556] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=A.
% 242.83/242.89 ** KEPT (pick-wt=25): 558 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(A,B,C),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(D,A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=19): 560 [copy,559,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).
% 242.83/242.89 ---> New Demodulator: 561 [new_demod,560] 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).
% 242.83/242.89 ** KEPT (pick-wt=14): 562 [] hAPP(c_Fun_Ofcomp(A,B,C,D,E),F)=hAPP(B,hAPP(A,F)).
% 242.83/242.89 ---> New Demodulator: 563 [new_demod,562] hAPP(c_Fun_Ofcomp(A,B,C,D,E),F)=hAPP(B,hAPP(A,F)).
% 242.83/242.89 ** KEPT (pick-wt=23): 565 [copy,564,flip.1] c_Fun_Ocomp(c_Fun_Ocomp(A,B,C,D,E),F,E,D,G)=c_Fun_Ocomp(A,c_Fun_Ocomp(B,F,E,C,G),C,D,G).
% 242.83/242.89 ---> New Demodulator: 566 [new_demod,565] c_Fun_Ocomp(c_Fun_Ocomp(A,B,C,D,E),F,E,D,G)=c_Fun_Ocomp(A,c_Fun_Ocomp(B,F,E,C,G),C,D,G).
% 242.83/242.89 ** KEPT (pick-wt=21): 567 [] c_Set_Oinsert(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),D)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D).
% 242.83/242.89 ** KEPT (pick-wt=28): 568 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(D,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 569 [new_demod,568] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(D,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=28): 570 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 571 [new_demod,570] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=7): 572 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 242.83/242.89 ** KEPT (pick-wt=18): 573 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 574 [new_demod,573] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=9): 575 [] c_Fun_Ofcomp(A,c_Fun_Oid(B),C,B,B)=A.
% 242.83/242.89 ---> New Demodulator: 576 [new_demod,575] c_Fun_Ofcomp(A,c_Fun_Oid(B),C,B,B)=A.
% 242.83/242.89 ** KEPT (pick-wt=9): 577 [] c_Fun_Ofcomp(c_Fun_Oid(A),B,A,A,C)=B.
% 242.83/242.89 ---> New Demodulator: 578 [new_demod,577] c_Fun_Ofcomp(c_Fun_Oid(A),B,A,A,C)=B.
% 242.83/242.89 ** KEPT (pick-wt=20): 579 [] c_Set_Oimage(c_Fun_Ocomp(A,B,C,D,E),F,E,D)=c_Set_Oimage(A,c_Set_Oimage(B,F,E,C),C,D).
% 242.83/242.89 ---> New Demodulator: 580 [new_demod,579] c_Set_Oimage(c_Fun_Ocomp(A,B,C,D,E),F,E,D)=c_Set_Oimage(A,c_Set_Oimage(B,F,E,C),C,D).
% 242.83/242.89 ** KEPT (pick-wt=8): 581 [] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 242.83/242.89 ---> New Demodulator: 582 [new_demod,581] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 242.83/242.89 ** KEPT (pick-wt=38): 584 [copy,583,demod,546,548,582,548,550] c_HOL_Ominus__class_Ominus(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=28): 586 [copy,585,demod,546,flip.1] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 587 [new_demod,586] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=31): 588 [] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,C,tc_fun(E,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,D,C,tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 242.83/242.89 Following clause subsumed by 485 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A))).
% 242.83/242.89 ** KEPT (pick-wt=29): 589 [] c_Set_Ovimage(A,c_Set_Oinsert(B,C,D),E,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=28): 591 [copy,590,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.83/242.89 ---> New Demodulator: 592 [new_demod,591] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=31): 593 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,D,C,tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 242.83/242.89 Following clause subsumed by 426 during input processing: 0 [demod,487] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=25): 594 [] c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=13): 595 [] 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)).
% 242.83/242.89 ** KEPT (pick-wt=25): 596 [] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Set_Oinsert(A,B,C),D,C,tc_fun(E,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(hAPP(D,A),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=23): 597 [] c_Fun_Ofcomp(c_Fun_Ofcomp(A,B,C,D,E),F,C,E,G)=c_Fun_Ofcomp(A,c_Fun_Ofcomp(B,F,D,E,G),C,D,G).
% 242.83/242.89 ---> New Demodulator: 598 [new_demod,597] c_Fun_Ofcomp(c_Fun_Ofcomp(A,B,C,D,E),F,C,E,G)=c_Fun_Ofcomp(A,c_Fun_Ofcomp(B,F,D,E,G),C,D,G).
% 242.83/242.89 ** KEPT (pick-wt=9): 599 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=9): 600 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=11): 601 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=11): 602 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=11): 603 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=13): 604 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(hAPP(A,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(A,B,C))).
% 242.83/242.89 Following clause subsumed by 426 during input processing: 0 [demod,531] hAPP(A,hAPP(B,v_x))=hAPP(A,hAPP(B,v_x)).
% 242.83/242.89 Following clause subsumed by 426 during input processing: 0 [demod,480] v_x=v_x.
% 242.83/242.89 Following clause subsumed by 426 during input processing: 0 [demod,563] hAPP(B,hAPP(A,v_x))=hAPP(B,hAPP(A,v_x)).
% 242.83/242.89 ** KEPT (pick-wt=8): 605 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),B).
% 242.83/242.89 ** KEPT (pick-wt=16): 606 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1(A,B,C)),A)).
% 242.83/242.89 ** KEPT (pick-wt=16): 607 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),c_ATP__Linkup_Osko__Set__XsubsetI__1__1(A,B,C)),A)).
% 242.83/242.89 ** KEPT (pick-wt=16): 609 [copy,608,flip.1] hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)))=hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x).
% 242.83/242.89 ---> New Demodulator: 610 [new_demod,609] hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)))=hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x).
% 242.83/242.89 ** KEPT (pick-wt=6): 611 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 242.83/242.89 Following clause subsumed by 611 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=4): 612 [] c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_ts_H,t_a).
% 242.83/242.89 ** KEPT (pick-wt=7): 613 [] c_lesse_quals(v_tsa,v_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)).
% 242.83/242.89 ** KEPT (pick-wt=8): 614 [] hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)).
% 242.83/242.89 ** KEPT (pick-wt=2): 615 [] class_Lattices_Oupper__semilattice(tc_nat).
% 242.83/242.89 ** KEPT (pick-wt=2): 616 [] class_Lattices_Olower__semilattice(tc_nat).
% 242.83/242.89 ** KEPT (pick-wt=2): 617 [] class_Lattices_Odistrib__lattice(tc_nat).
% 242.83/242.89 ** KEPT (pick-wt=2): 618 [] class_Orderings_Opreorder(tc_nat).
% 242.83/242.89 ** KEPT (pick-wt=2): 619 [] class_Orderings_Olinorder(tc_nat).
% 242.83/242.89 ** KEPT (pick-wt=2): 620 [] class_Lattices_Olattice(tc_nat).
% 242.83/242.89 ** KEPT (pick-wt=2): 621 [] class_Orderings_Oorder(tc_nat).
% 242.83/242.89 ** KEPT (pick-wt=2): 622 [] class_Orderings_Obot(tc_nat).
% 242.83/242.89 ** KEPT (pick-wt=2): 623 [] class_HOL_Ominus(tc_nat).
% 242.83/242.89 ** KEPT (pick-wt=2): 624 [] class_HOL_Oord(tc_nat).
% 242.83/242.89 ** KEPT (pick-wt=2): 625 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 242.83/242.89 ** KEPT (pick-wt=2): 626 [] class_Lattices_Oupper__semilattice(tc_bool).
% 242.83/242.90 ** KEPT (pick-wt=2): 627 [] class_Lattices_Olower__semilattice(tc_bool).
% 242.83/242.90 ** KEPT (pick-wt=2): 628 [] class_Lattices_Odistrib__lattice(tc_bool).
% 242.83/242.90 ** KEPT (pick-wt=2): 629 [] class_Lattices_Obounded__lattice(tc_bool).
% 242.83/242.90 ** KEPT (pick-wt=2): 630 [] class_Lattices_Oboolean__algebra(tc_bool).
% 242.83/242.90 ** KEPT (pick-wt=2): 631 [] class_Orderings_Opreorder(tc_bool).
% 242.83/242.90 ** KEPT (pick-wt=2): 632 [] class_Lattices_Olattice(tc_bool).
% 242.83/242.90 ** KEPT (pick-wt=2): 633 [] class_Orderings_Oorder(tc_bool).
% 242.83/242.90 ** KEPT (pick-wt=2): 634 [] class_Orderings_Obot(tc_bool).
% 242.83/242.90 ** KEPT (pick-wt=2): 635 [] class_HOL_Ouminus(tc_bool).
% 242.83/242.90 ** KEPT (pick-wt=2): 636 [] class_HOL_Ominus(tc_bool).
% 242.83/242.90 ** KEPT (pick-wt=2): 637 [] class_HOL_Oord(tc_bool).
% 242.83/242.90 ** KEPT (pick-wt=4): 638 [] c_fe_qual(A,A,B).
% 242.83/242.90 Following clause subsumed by 426 during input processing: 0 [copy,426,flip.1] A=A.
% 242.83/242.90 426 back subsumes 425.
% 242.83/242.90 426 back subsumes 424.
% 242.83/242.90 426 back subsumes 411.
% 242.83/242.90 426 back subsumes 410.
% 242.83/242.90 426 back subsumes 390.
% 242.83/242.90 >>>> Starting back demodulation with 429.
% 242.83/242.90 >>>> Starting back demodulation with 431.
% 242.83/242.90 >>>> Starting back demodulation with 433.
% 242.83/242.90 >> back demodulating 18 with 433.
% 242.83/242.90 >>>> Starting back demodulation with 435.
% 242.83/242.90 ** KEPT (pick-wt=19): 639 [copy,438,flip.1] c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(A,B,C,D),tc_fun(C,tc_bool))=c_Set_Ovimage(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(D,tc_bool)),C,D).
% 242.83/242.90 >>>> Starting back demodulation with 440.
% 242.83/242.90 >>>> Starting back demodulation with 442.
% 242.83/242.90 >> back demodulating 263 with 442.
% 242.83/242.90 Following clause subsumed by 443 during input processing: 0 [copy,443,flip.1] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(C,tc_bool)).
% 242.83/242.90 >>>> Starting back demodulation with 445.
% 242.83/242.90 >> back demodulating 439 with 445.
% 242.83/242.90 Following clause subsumed by 446 during input processing: 0 [copy,446,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 242.83/242.90 >>>> Starting back demodulation with 450.
% 242.83/242.90 Following clause subsumed by 469 during input processing: 0 [copy,451,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).
% 242.83/242.90 Following clause subsumed by 458 during input processing: 0 [copy,452,flip.1] 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).
% 242.83/242.90 >>>> Starting back demodulation with 454.
% 242.83/242.90 ** KEPT (pick-wt=14): 642 [copy,455,flip.1] hAPP(hAPP(A,B),C)=hAPP(c_COMBC(A,C,D,E,F),B).
% 242.83/242.90 >>>> Starting back demodulation with 457.
% 242.83/242.90 Following clause subsumed by 458 during input processing: 0 [copy,458,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 242.83/242.90 458 back subsumes 452.
% 242.83/242.90 >>>> Starting back demodulation with 460.
% 242.83/242.90 Following clause subsumed by 461 during input processing: 0 [copy,461,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 242.83/242.90 >>>> Starting back demodulation with 463.
% 242.83/242.90 >>>> Starting back demodulation with 465.
% 242.83/242.90 ** KEPT (pick-wt=17): 643 [copy,466,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C,tc_fun(B,tc_bool))=c_Set_Oinsert(A,C,B).
% 242.83/242.90 >>>> Starting back demodulation with 468.
% 242.83/242.90 Following clause subsumed by 451 during input processing: 0 [copy,469,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)).
% 242.83/242.90 >>>> Starting back demodulation with 472.
% 242.83/242.90 ** KEPT (pick-wt=16): 644 [copy,473,flip.1,demod,546,582] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 242.83/242.90 ** KEPT (pick-wt=25): 645 [copy,474,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,B,C,D),c_Set_Ovimage(A,E,C,D),tc_fun(C,tc_bool))=c_Set_Ovimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(D,tc_bool)),C,D).
% 242.83/242.90 ** KEPT (pick-wt=17): 646 [copy,475,flip.1] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.83/242.90 >>>> Starting back demodulation with 480.
% 242.83/242.90 >>>> Starting back demodulation with 482.
% 242.83/242.90 ** KEPT (pick-wt=25): 647 [copy,483,flip.1] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(A,B,C,D),c_Set_Ovimage(A,E,C,D),tc_fun(C,tc_bool))=c_Set_Ovimage(A,c_Lattices_Olower__semilattice__class_Oinf(B,E,tc_fun(D,tc_bool)),C,D).
% 242.83/242.90 >>>> Starting back demodulation with 487.
% 242.83/242.90 >> back demodulating 419 with 487.
% 242.83/242.90 >> back demodulating 404 with 487.
% 242.83/242.90 >> back demodulating 394 with 487.
% 242.83/242.90 >> back demodulating 393 with 487.
% 242.83/242.90 >> back demodulating 389 with 487.
% 242.83/242.90 >>>> Starting back demodulation with 489.
% 242.83/242.90 >> back demodulating 2 with 489.
% 242.83/242.90 >>>> Starting back demodulation with 491.
% 242.83/242.90 >>>> Starting back demodulation with 494.
% 242.83/242.90 >>>> Starting back demodulation with 497.
% 242.83/242.90 ** KEPT (pick-wt=11): 649 [copy,499,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(B,B,tc_fun(A,tc_bool)).
% 242.83/242.90 ** KEPT (pick-wt=15): 650 [copy,500,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(B,tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 242.83/242.90 >>>> Starting back demodulation with 503.
% 242.83/242.90 ** KEPT (pick-wt=19): 651 [copy,505,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool)).
% 242.83/242.90 ** KEPT (pick-wt=25): 652 [copy,506,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).
% 242.83/242.90 >>>> Starting back demodulation with 509.
% 242.83/242.90 ** KEPT (pick-wt=27): 653 [copy,510,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)).
% 242.83/242.90 ** KEPT (pick-wt=27): 654 [copy,511,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)).
% 242.83/242.90 >>>> Starting back demodulation with 515.
% 242.83/242.90 >> back demodulating 254 with 515.
% 242.83/242.90 >> back demodulating 252 with 515.
% 242.83/242.90 >>>> Starting back demodulation with 517.
% 242.83/242.90 >> back demodulating 416 with 517.
% 242.83/242.90 >> back demodulating 415 with 517.
% 242.83/242.90 >> back demodulating 414 with 517.
% 242.83/242.90 >> back demodulating 413 with 517.
% 242.83/242.90 >> back demodulating 412 with 517.
% 242.83/242.90 >>>> Starting back demodulation with 520.
% 242.83/242.90 >>>> Starting back demodulation with 522.
% 242.83/242.90 >>>> Starting back demodulation with 524.
% 242.83/242.90 >>>> Starting back demodulation with 526.
% 242.83/242.90 >>>> Starting back demodulation with 529.
% 242.83/242.90 >>>> Starting back demodulation with 531.
% 242.83/242.90 >> back demodulating 278 with 531.
% 242.83/242.90 >>>> Starting back demodulation with 533.
% 242.83/242.90 Following clause subsumed by 534 during input processing: 0 [copy,534,flip.1] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 242.83/242.90 >>>> Starting back demodulation with 536.
% 242.83/242.90 >>>> Starting back demodulation with 538.
% 242.83/242.90 >>>> Starting back demodulation with 540.
% 242.83/242.90 >>>> Starting back demodulation with 542.
% 242.83/242.90 >>>> Starting back demodulation with 544.
% 242.83/242.90 >>>> Starting back demodulation with 546.
% 242.83/242.90 >> back demodulating 473 with 546.
% 242.83/242.90 >>>> Starting back demodulation with 548.
% 242.83/242.90 >>>> Starting back demodulation with 550.
% 242.83/242.90 >> back demodulating 547 with 550.
% 242.83/242.90 ** KEPT (pick-wt=36): 664 [copy,551,flip.1] hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(t_a,tc_bool)))=hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_COMBC(c_in(t_a),A,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),B,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x).
% 242.83/242.90 ** KEPT (pick-wt=36): 665 [copy,552,flip.1] hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(t_a,tc_bool)))=hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),A,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),B,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x).
% 242.83/242.90 >>>> Starting back demodulation with 557.
% 242.83/242.90 ** KEPT (pick-wt=25): 666 [copy,558,flip.1] c_Lattices_Oupper__semilattice__class_Osup(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(B,C,D),A,D,tc_fun(E,tc_bool)).
% 242.83/242.90 >>>> Starting back demodulation with 561.
% 242.83/242.90 >> back demodulating 7 with 561.
% 242.83/242.90 >>>> Starting back demodulation with 563.
% 242.83/242.90 >>>> Starting back demodulation with 566.
% 242.83/242.90 ** KEPT (pick-wt=21): 668 [copy,567,flip.1] c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)=c_Set_Oinsert(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),D,C,tc_fun(B,tc_bool)),B).
% 242.83/242.90 >>>> Starting back demodulation with 569.
% 242.83/242.90 >> back demodulating 556 with 569.
% 242.83/242.90 >> back demodulating 496 with 569.
% 242.83/242.90 >> back demodulating 493 with 569.
% 242.83/242.90 >>>> Starting back demodulation with 571.
% 242.83/242.90 >> back demodulating 129 with 571.
% 242.83/242.90 >> back demodulating 128 with 571.
% 242.83/242.90 >>>> Starting back demodulation with 574.
% 242.83/242.90 >>>> Starting back demodulation with 576.
% 242.83/242.90 >>>> Starting back demodulation with 578.
% 242.83/242.90 >>>> Starting back demodulation with 580.
% 242.83/242.90 >>>> Starting back demodulation with 582.
% 242.83/242.90 >> back demodulating 417 with 582.
% 242.83/242.90 >> back demodulating 403 with 582.
% 242.83/242.90 >> back demodulating 402 with 582.
% 242.83/242.90 >> back demodulating 396 with 582.
% 242.83/242.90 >> back demodulating 388 with 582.
% 242.83/242.90 ** KEPT (pick-wt=38): 678 [copy,584,flip.1] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 242.83/242.90 >>>> Starting back demodulation with 587.
% 242.83/242.90 >> back demodulating 545 with 587.
% 242.83/242.90 ** KEPT (pick-wt=31): 681 [copy,588,flip.1] c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,B,C,tc_fun(D,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(E,B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Lattices_Oupper__semilattice__class_Osup(A,E,tc_fun(C,tc_bool)),B,C,tc_fun(D,tc_bool)).
% 242.83/242.90 ** KEPT (pick-wt=29): 682 [copy,589,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),D,C),c_Set_Ovimage(A,E,D,C),tc_fun(D,tc_bool))=c_Set_Ovimage(A,c_Set_Oinsert(B,E,C),D,C).
% 242.83/242.90 >>>> Starting back demodulation with 592.
% 242.83/242.90 ** KEPT (pick-wt=31): 683 [copy,593,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(A,E,tc_fun(C,tc_bool)),B,C,tc_fun(D,tc_bool)).
% 242.83/242.90 ** KEPT (pick-wt=25): 684 [copy,594,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))=c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D).
% 242.83/242.90 ** KEPT (pick-wt=13): 685 [copy,595,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).
% 242.83/242.90 ** KEPT (pick-wt=25): 686 [copy,596,flip.1] c_Lattices_Olower__semilattice__class_Oinf(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Set_Oinsert(B,C,D),A,D,tc_fun(E,tc_bool)).
% 242.83/242.90 >>>> Starting back demodulation with 598.
% 242.83/242.90 600 back subsumes 555.
% 242.83/242.90 600 back subsumes 518.
% 242.83/242.90 >>>> Starting back demodulation with 610.
% 242.83/242.90 611 back subsumes 400.
% 242.83/242.90 Following clause subsumed by 438 during input processing: 0 [copy,639,flip.1] c_Set_Ovimage(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),D,C)=c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(A,B,D,C),tc_fun(D,tc_bool)).
% 242.83/242.90 >>>> Starting back demodulation with 641.
% 242.83/242.90 Following clause subsumed by 455 during input processing: 0 [copy,642,flip.1] hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 242.83/242.90 Following clause subsumed by 466 during input processing: 0 [copy,643,flip.1] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,tc_fun(C,tc_bool)).
% 242.83/242.90 Following clause subsumed by 661 during input processing: 0 [copy,644,flip.1] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 242.83/242.90 Following clause subsumed by 474 during input processing: 0 [copy,645,flip.1] c_Set_Ovimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),E,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 242.83/242.90 Following clause subsumed by 475 during input processing: 0 [copy,646,flip.1] c_HOL_Ominus__class_Ominus(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)).
% 242.83/242.90 Following clause subsumed by 483 during input processing: 0 [copy,647,flip.1] c_Set_Ovimage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),E,D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 242.83/242.90 Following clause subsumed by 499 during input processing: 0 [copy,649,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 242.83/242.90 Following clause subsumed by 500 during input processing: 0 [copy,650,flip.1] c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 242.83/242.90 Following clause subsumed by 505 during input processing: 0 [copy,651,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(B,A,D),C,tc_fun(D,tc_bool)).
% 242.83/242.90 Following clause subsumed by 506 during input processing: 0 [copy,652,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)).
% 242.83/242.90 Following clause subsumed by 510 during input processing: 0 [copy,653,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)).
% 242.83/242.90 Following clause subsumed by 511 during input processing: 0 [copy,654,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)).
% 242.83/242.90 Following clause subsumed by 644 during input processing: 0 [copy,661,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 242.83/242.90 >>>> Starting back demodulation with 663.
% 242.83/242.90 Following clause subsumed by 551 during input processing: 0 [copy,664,flip.1] hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_COMBC(c_in(t_a),A,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),B,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(t_a,tc_bool))).
% 242.88/243.01 Following clause subsumed by 552 during input processing: 0 [copy,665,flip.1] hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),A,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),B,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(t_a,tc_bool))).
% 242.88/243.01 Following clause subsumed by 558 during input processing: 0 [copy,666,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(A,B,C),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(D,A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 242.88/243.01 Following clause subsumed by 567 during input processing: 0 [copy,668,flip.1] c_Set_Oinsert(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),D)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D).
% 242.88/243.01 >>>> Starting back demodulation with 670.
% 242.88/243.01 >>>> Starting back demodulation with 672.
% 242.88/243.01 >>>> Starting back demodulation with 674.
% 242.88/243.01 Following clause subsumed by 584 during input processing: 0 [copy,678,flip.1] c_HOL_Ominus__class_Ominus(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 242.88/243.01 >>>> Starting back demodulation with 680.
% 242.88/243.01 Following clause subsumed by 588 during input processing: 0 [copy,681,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,C,tc_fun(E,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,D,C,tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 242.88/243.01 Following clause subsumed by 589 during input processing: 0 [copy,682,flip.1] c_Set_Ovimage(A,c_Set_Oinsert(B,C,D),E,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 242.88/243.01 Following clause subsumed by 593 during input processing: 0 [copy,683,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,C,tc_fun(E,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,D,C,tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 242.88/243.01 Following clause subsumed by 594 during input processing: 0 [copy,684,flip.1] c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)).
% 242.88/243.01 Following clause subsumed by 595 during input processing: 0 [copy,685,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)).
% 242.88/243.01 Following clause subsumed by 596 during input processing: 0 [copy,686,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Set_Oinsert(A,B,C),D,C,tc_fun(E,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(hAPP(D,A),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,D,C,tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 242.88/243.01
% 242.88/243.01 ======= end of input processing =======
% 242.88/243.01
% 242.88/243.01 =========== start of search ===========
% 242.88/243.01
% 242.88/243.01
% 242.88/243.01 Resetting weight limit to 2.
% 242.88/243.01
% 242.88/243.01
% 242.88/243.01 Resetting weight limit to 2.
% 242.88/243.01
% 242.88/243.01 sos_size=172
% 242.88/243.01
% 242.88/243.01 Search stopped in tp_alloc by max_mem option.
% 242.88/243.01
% 242.88/243.01 Search stopped in tp_alloc by max_mem option.
% 242.88/243.01
% 242.88/243.01 ============ end of search ============
% 242.88/243.01
% 242.88/243.01 -------------- statistics -------------
% 242.88/243.01 clauses given 55
% 242.88/243.01 clauses generated 8109
% 242.88/243.01 clauses kept 600
% 242.88/243.01 clauses forward subsumed 123
% 242.88/243.01 clauses back subsumed 12
% 242.88/243.01 Kbytes malloced 11718
% 242.88/243.01
% 242.88/243.01 ----------- times (seconds) -----------
% 242.88/243.01 user CPU time 0.19 (0 hr, 0 min, 0 sec)
% 242.88/243.01 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 242.88/243.01 wall-clock time 242 (0 hr, 4 min, 2 sec)
% 242.88/243.01
% 242.88/243.01 Process 12824 finished Wed Jul 27 05:56:04 2022
% 242.88/243.01 Otter interrupted
% 242.88/243.01 PROOF NOT FOUND
%------------------------------------------------------------------------------