TSTP Solution File: SWV900-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV900-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n019.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 13:21:44 EDT 2022
% Result : Unknown 152.76s 152.91s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV900-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 06:07:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 152.76/152.86 ----- Otter 3.3f, August 2004 -----
% 152.76/152.86 The process was started by sandbox on n019.cluster.edu,
% 152.76/152.86 Wed Jul 27 06:07:07 2022
% 152.76/152.86 The command was "./otter". The process ID is 20907.
% 152.76/152.86
% 152.76/152.86 set(prolog_style_variables).
% 152.76/152.86 set(auto).
% 152.76/152.86 dependent: set(auto1).
% 152.76/152.86 dependent: set(process_input).
% 152.76/152.86 dependent: clear(print_kept).
% 152.76/152.86 dependent: clear(print_new_demod).
% 152.76/152.86 dependent: clear(print_back_demod).
% 152.76/152.86 dependent: clear(print_back_sub).
% 152.76/152.86 dependent: set(control_memory).
% 152.76/152.86 dependent: assign(max_mem, 12000).
% 152.76/152.86 dependent: assign(pick_given_ratio, 4).
% 152.76/152.86 dependent: assign(stats_level, 1).
% 152.76/152.86 dependent: assign(max_seconds, 10800).
% 152.76/152.86 clear(print_given).
% 152.76/152.86
% 152.76/152.86 list(usable).
% 152.76/152.86 0 [] A=A.
% 152.76/152.86 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).
% 152.76/152.86 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)!=c_Orderings_Otop__class_Otop(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)!=c_Orderings_Obot__class_Obot(T_a)|c_HOL_Ouminus__class_Ouminus(V_x,T_a)=V_y.
% 152.76/152.86 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).
% 152.76/152.86 0 [] -class_Orderings_Oorder(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanAtMost(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)).
% 152.76/152.86 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).
% 152.76/152.86 0 [] -class_Lattices_Olattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(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)),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a))).
% 152.76/152.86 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.
% 152.76/152.86 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| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 152.76/152.86 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).
% 152.76/152.86 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).
% 152.76/152.86 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)).
% 152.76/152.86 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).
% 152.76/152.86 0 [] hAPP(V_f,V_x)!=c_Option_Ooption_OSome(V_y,T_a)|c_Set_Oinsert(V_x,c_Map_Odom(V_f,T_b,T_a),T_b)=c_Map_Odom(V_f,T_b,T_a).
% 152.76/152.86 0 [] hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 152.76/152.86 0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 152.76/152.86 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).
% 152.76/152.86 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).
% 152.76/152.86 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).
% 152.76/152.86 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).
% 152.76/152.86 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)).
% 152.76/152.86 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)).
% 152.76/152.86 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).
% 152.76/152.86 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)).
% 152.76/152.86 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 152.76/152.86 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.
% 152.76/152.86 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.
% 152.76/152.86 0 [] c_Option_Ooption_ONone(T_a)!=c_Option_Ooption_OSome(V_a_H,T_a).
% 152.76/152.86 0 [] c_Option_Ooption_ONone(T_a)!=c_Option_Ooption_OSome(V_y,T_a).
% 152.76/152.86 0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a)).
% 152.76/152.86 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),V_P,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),V_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),V_Q,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),V_U,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),V_P_H,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),V_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),V_Q_H,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),V_U,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(V_P,v_sko__Hoare__Mirabelle__Xfinite__pointwise__1(V_G,V_P,V_P_H,V_Q,V_Q_H,V_c0))),hAPP(V_c0,v_sko__Hoare__Mirabelle__Xfinite__pointwise__1(V_G,V_P,V_P_H,V_Q,V_Q_H,V_c0))),hAPP(V_Q,v_sko__Hoare__Mirabelle__Xfinite__pointwise__1(V_G,V_P,V_P_H,V_Q,V_Q_H,V_c0))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b)| -c_Finite__Set_Ofinite(V_U,t_a).
% 152.76/152.86 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),V_P,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),V_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),V_Q,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),V_U,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),V_P_H,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),V_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),V_Q_H,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),V_U,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b)|c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(V_P_H,v_sko__Hoare__Mirabelle__Xfinite__pointwise__1(V_G,V_P,V_P_H,V_Q,V_Q_H,V_c0))),hAPP(V_c0,v_sko__Hoare__Mirabelle__Xfinite__pointwise__1(V_G,V_P,V_P_H,V_Q,V_Q_H,V_c0))),hAPP(V_Q_H,v_sko__Hoare__Mirabelle__Xfinite__pointwise__1(V_G,V_P,V_P_H,V_Q,V_Q_H,V_c0))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b)| -c_Finite__Set_Ofinite(V_U,t_a).
% 152.76/152.87 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)).
% 152.76/152.87 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 152.76/152.87 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 152.76/152.87 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a)=c_Orderings_Otop__class_Otop(T_a).
% 152.76/152.87 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_Orderings_Otop__class_Otop(T_a).
% 152.76/152.87 0 [] c_Set_Oinsert(V_x,V_xa,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_xa,T_a)).
% 152.76/152.87 0 [] hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))|hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 152.76/152.87 0 [] hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))|hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 152.76/152.87 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)).
% 152.76/152.87 0 [] hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B)).
% 152.76/152.87 0 [] -class_Orderings_Olinorder(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanAtMost(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_OgreaterThan(V_l,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_u)).
% 152.76/152.87 0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 152.76/152.87 0 [] c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)=c_Set_Oimage(V_f,V_A,T_a,T_b)| -hBOOL(c_in(V_x,V_A,T_a)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))|hBOOL(c_in(V_x,V_A,T_a)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))|hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))|hBOOL(c_in(V_x,V_A,T_a)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))|hBOOL(c_in(V_x,V_A,T_a)).
% 152.76/152.87 0 [] c_Set_Oinsert(V_x,V_A,T_a)!=c_Set_Oinsert(V_x,V_B,T_a)|hBOOL(c_in(V_x,V_B,T_a))|hBOOL(c_in(V_x,V_A,T_a))|V_A=V_B.
% 152.76/152.87 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(c_in(V_a,V_A,T_a)).
% 152.76/152.87 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(c_in(V_a,V_C,T_a)).
% 152.76/152.87 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)).
% 152.76/152.87 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)).
% 152.76/152.87 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).
% 152.76/152.87 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)).
% 152.76/152.87 0 [] -class_Orderings_Oorder(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 152.76/152.87 0 [] -class_Orderings_Olinorder(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatMost(V_l,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatMost(V_u,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_u)).
% 152.76/152.87 0 [] hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a))| -hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b)).
% 152.76/152.87 0 [] hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b))| -hBOOL(c_in(hAPP(V_f,V_a),V_A,T_a)).
% 152.76/152.87 0 [] hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_b,T_a),T_b))| -hBOOL(c_in(hAPP(V_f,V_a),V_B,T_a)).
% 152.76/152.87 0 [] hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b))| -hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a)).
% 152.76/152.87 0 [] hBOOL(c_in(hAPP(V_f,V_a),V_A,T_b))| -hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a)).
% 152.76/152.87 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).
% 152.76/152.87 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)).
% 152.76/152.87 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).
% 152.76/152.87 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).
% 152.76/152.87 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)).
% 152.76/152.87 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).
% 152.76/152.87 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).
% 152.76/152.87 0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 152.76/152.87 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)).
% 152.76/152.87 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)).
% 152.76/152.87 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).
% 152.76/152.87 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).
% 152.76/152.87 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)).
% 152.76/152.87 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).
% 152.76/152.87 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).
% 152.76/152.87 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)).
% 152.76/152.87 0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 152.76/152.87 0 [] -class_Orderings_Oorder(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 152.76/152.87 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)).
% 152.76/152.87 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).
% 152.76/152.87 0 [] hAPP(c_Hoare__Mirabelle_OMGT,V_c)=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fe_qual(tc_Com_Ostate)),V_c),c_Natural_Oevalc(V_c)).
% 152.76/152.87 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)).
% 152.76/152.87 0 [] V_n=c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P,V_n,V_s,V_s1))| -c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1).
% 152.76/152.87 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)).
% 152.76/152.87 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).
% 152.76/152.87 0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)|hBOOL(c_in(V_x,V_B,T_a)).
% 152.76/152.87 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)).
% 152.76/152.87 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)).
% 152.76/152.87 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)=c_Orderings_Otop__class_Otop(T_a).
% 152.76/152.87 0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))=V_A|hBOOL(c_in(V_x,V_A,T_a)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)))).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)).
% 152.76/152.87 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.
% 152.76/152.87 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.
% 152.76/152.87 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.
% 152.76/152.87 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).
% 152.76/152.87 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).
% 152.76/152.87 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.
% 152.76/152.87 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).
% 152.76/152.87 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)).
% 152.76/152.87 0 [] c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_G,T_a).
% 152.76/152.87 0 [] c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))| -c_Natural_Oevaln(V_c,V_s,V_n,V_t).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))| -c_Natural_Oevaln(V_c,V_s,V_x,V_t).
% 152.76/152.87 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)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y_H),V_x_H)).
% 152.76/152.87 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)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y_H),V_x_H))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 152.76/152.87 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)),V_x)).
% 152.76/152.87 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)),V_x)).
% 152.76/152.87 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_a)).
% 152.76/152.87 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_b)).
% 152.76/152.87 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)),V_z)).
% 152.76/152.87 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)),V_z)).
% 152.76/152.87 0 [] -class_Orderings_Otop(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))).
% 152.76/152.87 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)),V_x)).
% 152.76/152.87 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)),V_y)).
% 152.76/152.87 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_a)).
% 152.76/152.87 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 152.76/152.87 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 152.76/152.87 0 [] -class_Lattices_Olattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)),V_y)).
% 152.76/152.87 0 [] -class_Lattices_Olattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)),V_x)).
% 152.76/152.87 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 152.76/152.87 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)!=V_y|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 152.76/152.87 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_x| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 152.76/152.87 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 152.76/152.87 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a))).
% 152.76/152.87 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=V_x| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 152.76/152.87 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)!=V_x|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 152.76/152.87 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 152.76/152.87 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_x)).
% 152.76/152.87 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)).
% 152.76/152.87 0 [] hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R)=hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)).
% 152.76/152.87 0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 152.76/152.87 0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(c_in(V_x,V_S,T_a)).
% 152.76/152.87 0 [] hBOOL(c_in(V_x,V_S,T_a))| -hBOOL(hAPP(V_S,V_x)).
% 152.76/152.87 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).
% 152.76/152.87 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)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_u)).
% 152.76/152.87 0 [] -class_Orderings_Olinorder(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_m),V_u))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_m)).
% 152.76/152.87 0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)).
% 152.76/152.87 0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)).
% 152.76/152.87 0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)).
% 152.76/152.87 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 152.76/152.87 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 152.76/152.87 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).
% 152.76/152.87 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).
% 152.76/152.87 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)).
% 152.76/152.87 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)).
% 152.76/152.87 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).
% 152.76/152.87 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.
% 152.76/152.87 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_OgreaterThanAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_u)).
% 152.76/152.87 0 [] V_b=V_a| -hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)).
% 152.76/152.87 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)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_u)).
% 152.76/152.87 0 [] c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b)| -hBOOL(c_in(V_x,V_A,T_a)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),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))| -hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))| -hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),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)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))| -hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),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)).
% 152.76/152.87 0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a)).
% 152.76/152.87 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)).
% 152.76/152.87 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).
% 152.76/152.87 0 [] hAPP(V_f,V_x)!=c_Option_Ooption_ONone(T_a)|c_HOL_Ominus__class_Ominus(c_Map_Odom(V_f,T_b,T_a),c_Set_Oinsert(V_x,V_A,T_b),tc_fun(T_b,tc_bool))=c_HOL_Ominus__class_Ominus(c_Map_Odom(V_f,T_b,T_a),V_A,tc_fun(T_b,tc_bool)).
% 152.76/152.87 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)).
% 152.76/152.87 0 [] -hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)).
% 152.76/152.87 0 [] hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a))|hBOOL(c_in(V_c,V_A,T_a)).
% 152.76/152.87 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).
% 152.76/152.87 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).
% 152.76/152.87 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)).
% 152.76/152.87 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)).
% 152.76/152.87 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 152.76/152.87 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).
% 152.76/152.87 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).
% 152.76/152.87 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)).
% 152.76/152.87 0 [] -class_Orderings_Olinorder(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_m),V_u))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_m)).
% 152.76/152.87 0 [] -class_Orderings_Oorder(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(V_l,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 152.76/152.87 0 [] c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 152.76/152.87 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).
% 152.76/152.87 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a)=c_Orderings_Otop__class_Otop(T_a).
% 152.76/152.87 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a)=c_Orderings_Otop__class_Otop(T_a).
% 152.76/152.87 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 152.76/152.87 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 152.76/152.87 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)).
% 152.76/152.87 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)).
% 152.76/152.87 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)).
% 152.76/152.87 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 152.76/152.87 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 152.76/152.87 0 [] hBOOL(c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a),T_aa)).
% 152.76/152.87 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).
% 152.76/152.87 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).
% 152.76/152.87 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.
% 152.76/152.87 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).
% 152.76/152.87 0 [] c_Map_Omap__le(V_f,V_f,T_a,T_b).
% 152.76/152.87 0 [] c_Map_Omap__le(V_m1,V_m3,T_a,T_b)| -c_Map_Omap__le(V_m2,V_m3,T_a,T_b)| -c_Map_Omap__le(V_m1,V_m2,T_a,T_b).
% 152.76/152.87 0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 152.76/152.87 0 [] hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 152.76/152.87 0 [] -hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 152.76/152.87 0 [] -class_HOL_Oord(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_k),V_i))| -hBOOL(c_in(V_i,c_SetInterval_Oord__class_OatLeast(V_k,T_a),T_a)).
% 152.76/152.87 0 [] -class_HOL_Oord(T_a)|hBOOL(c_in(V_i,c_SetInterval_Oord__class_OatLeast(V_k,T_a),T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_k),V_i)).
% 152.76/152.87 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a).
% 152.76/152.87 0 [] c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 152.76/152.87 0 [] -class_Orderings_Oorder(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanLessThan(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)).
% 152.76/152.87 0 [] hAPP(V_m_092_060_094isub_0621,V_x)=hAPP(V_m_092_060_094isub_0622,V_x)| -hBOOL(c_in(V_x,c_Map_Odom(V_m_092_060_094isub_0621,T_a,T_b),T_a))| -c_Map_Omap__le(V_m_092_060_094isub_0621,V_m_092_060_094isub_0622,T_a,T_b).
% 152.76/152.87 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 152.76/152.87 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 152.76/152.87 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))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 152.76/152.87 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))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 152.76/152.87 0 [] hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)).
% 152.76/152.87 0 [] c_Option_Ooption_OSome(V_a_H,T_a)!=c_Option_Ooption_ONone(T_a).
% 152.76/152.87 0 [] c_Option_Ooption_OSome(V_xa,T_a)!=c_Option_Ooption_ONone(T_a).
% 152.76/152.87 0 [] c_Option_Ooption_OSome(V_a,T_a)!=c_Option_Ooption_OSome(V_a_H,T_a)|V_a=V_a_H.
% 152.76/152.87 0 [] hAPP(V_m,V_a)!=c_Option_Ooption_OSome(V_b,T_a)|hBOOL(c_in(V_a,c_Map_Odom(V_m,T_b,T_a),T_b)).
% 152.76/152.87 0 [] c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 152.76/152.87 0 [] c_Suc(V_x)!=c_Suc(V_y)|V_x=V_y.
% 152.76/152.87 0 [] c_Suc(V_nat)!=c_Suc(V_nat_H)|V_nat=V_nat_H.
% 152.76/152.87 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)).
% 152.76/152.87 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)).
% 152.76/152.87 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)).
% 152.76/152.87 0 [] hBOOL(c_in(V_c,V_B,T_a))|hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 152.76/152.87 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).
% 152.76/152.87 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).
% 152.76/152.87 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).
% 152.76/152.87 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).
% 152.76/152.87 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)).
% 152.76/152.87 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)).
% 152.76/152.87 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)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_m),V_u))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_m)).
% 152.76/152.87 0 [] hAPP(V_m,V_a)!=c_Option_Ooption_ONone(T_b)| -hBOOL(c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a)).
% 152.76/152.87 0 [] hBOOL(c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a))|hAPP(V_m,V_a)=c_Option_Ooption_ONone(T_b).
% 152.76/152.87 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 152.76/152.87 0 [] c_Finite__Set_Ofinite(V_F,T_a)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a).
% 152.76/152.87 0 [] c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a).
% 152.76/152.87 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).
% 152.76/152.87 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a)!=c_Orderings_Otop__class_Otop(T_a)|V_B=c_Orderings_Otop__class_Otop(T_a).
% 152.76/152.87 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a))).
% 152.76/152.87 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a))).
% 152.76/152.87 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a)),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_z),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 152.76/152.87 0 [] -class_Lattices_Oupper__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_z)).
% 152.76/152.87 0 [] -class_Lattices_Olattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a))).
% 152.76/152.87 0 [] -class_Lattices_Olattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a))).
% 152.76/152.87 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a))).
% 152.76/152.87 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a))).
% 152.76/152.87 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_x)).
% 152.76/152.87 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_x)).
% 152.76/152.87 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a))).
% 152.76/152.87 0 [] -class_Lattices_Olower__semilattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a))).
% 152.76/152.87 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a))).
% 152.76/152.87 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a))).
% 152.76/152.87 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b)).
% 152.76/152.87 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a)).
% 152.76/152.87 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.
% 152.76/152.87 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.
% 152.76/152.87 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).
% 152.76/152.87 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).
% 152.76/152.87 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).
% 152.76/152.87 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).
% 152.76/152.87 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)).
% 152.76/152.87 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)).
% 152.76/152.87 0 [] -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 152.76/152.87 0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 152.76/152.87 0 [] -hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 152.76/152.87 0 [] -hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 152.76/152.87 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 152.76/152.87 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.
% 152.76/152.87 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.
% 152.76/152.87 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.
% 152.76/152.87 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.
% 152.76/152.87 0 [] c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 152.76/152.87 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)).
% 152.76/152.87 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.
% 152.76/152.87 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.
% 152.76/152.87 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)).
% 152.76/152.87 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.
% 152.76/152.87 0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 152.76/152.87 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)).
% 152.76/152.87 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)).
% 152.76/152.87 0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 152.76/152.87 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).
% 152.76/152.87 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.
% 152.76/152.87 0 [] -hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 152.76/152.87 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)).
% 152.76/152.87 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)).
% 152.76/152.87 0 [] c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(V_f,V_g,T_a,T_c,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c)| -c_Finite__Set_Ofinite(c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),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)).
% 152.76/152.87 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))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)))).
% 152.76/152.87 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))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)))).
% 152.76/152.87 0 [] c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a)=c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_C,T_a)),c_Set_Oinsert(V_a,V_D,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),V_D)).
% 152.76/152.87 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| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),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))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 152.76/152.87 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -c_Finite__Set_Ofinite(V_B,T_a).
% 152.76/152.87 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 152.76/152.87 0 [] hBOOL(c_in(V_t,V_B,T_a))| -hBOOL(c_in(V_t,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 152.76/152.87 0 [] hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(c_in(V_x,V_A,T_a)).
% 152.76/152.87 0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 152.76/152.87 0 [] hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))),V_B)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))),V_A)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),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))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 152.76/152.87 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=V_B|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 152.76/152.87 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_A| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_A)).
% 152.76/152.87 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_D),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),c_Set_Oinsert(V_a,V_B,T_a))).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),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))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_A)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),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)))).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),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))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_b,V_B,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B)).
% 152.76/152.87 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=V_A| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 152.76/152.87 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=V_B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_A)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_A)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_b,tc_bool)),c_Set_Ovimage(V_f,V_A,T_b,T_a)),c_Set_Ovimage(V_f,V_B,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),V_A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_C),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 152.76/152.87 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)).
% 152.76/152.87 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).
% 152.76/152.87 0 [] c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)| -c_Finite__Set_Ofinite(V_F,T_a).
% 152.76/152.87 0 [] -hBOOL(c_in(V_x,V_A,T_aa))|hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)).
% 152.76/152.87 0 [] -hBOOL(c_in(V_x,V_A,T_b))|hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)).
% 152.76/152.87 0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a))| -hBOOL(c_in(V_x,V_A,T_b)).
% 152.76/152.87 0 [] hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))| -hBOOL(c_in(V_x,V_A,T_a)).
% 152.76/152.87 0 [] c_Hoare__Mirabelle_Ohoare__valids(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__valids(c_Lattices_Oupper__semilattice__class_Osup(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 152.76/152.87 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).
% 152.76/152.87 0 [] c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a).
% 152.76/152.87 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a)!=c_Orderings_Otop__class_Otop(T_a)|V_A=c_Orderings_Otop__class_Otop(T_a).
% 152.76/152.87 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)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_m),V_u))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_m)).
% 152.76/152.87 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(T_a),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 152.76/152.87 0 [] c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 152.76/152.87 0 [] -class_HOL_Oord(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_i),V_k))| -hBOOL(c_in(V_i,c_SetInterval_Oord__class_OatMost(V_k,T_a),T_a)).
% 152.76/152.87 0 [] -class_HOL_Oord(T_a)|hBOOL(c_in(V_i,c_SetInterval_Oord__class_OatMost(V_k,T_a),T_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_i),V_k)).
% 152.76/152.87 0 [] -class_Orderings_Oorder(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(V_l,T_a),c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_u,T_a),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 152.76/152.87 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)).
% 152.76/152.87 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)).
% 152.76/152.87 0 [] -class_Orderings_Oorder(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanLessThan(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)).
% 152.76/152.87 0 [] c_Natural_Oevaln(V_c,V_s,c_Suc(V_n),V_s_H)| -c_Natural_Oevaln(V_c,V_s,V_n,V_s_H).
% 152.76/152.87 0 [] -hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_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)).
% 152.76/152.87 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Otop__class_Otop(T_a),T_a)=V_x.
% 152.76/152.87 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(T_a),V_x,T_a)=V_x.
% 152.76/152.87 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 152.76/152.87 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 152.76/152.87 0 [] c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)).
% 152.76/152.87 0 [] -class_Lattices_Olattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(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))).
% 152.76/152.87 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).
% 152.76/152.87 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)).
% 152.76/152.87 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)).
% 152.76/152.87 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.
% 152.76/152.87 0 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)).
% 152.76/152.87 0 [] hBOOL(c_in(V_a,V_A,T_a))|V_a=V_b| -hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)).
% 152.76/152.87 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.
% 152.76/152.87 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.
% 152.76/152.87 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.
% 152.76/152.87 0 [] -class_Orderings_Otop(T_b)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,T_b)),v_x)=c_Orderings_Otop__class_Otop(T_b).
% 152.76/152.87 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).
% 152.76/152.87 0 [] V_u=V_t| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)).
% 152.76/152.87 0 [] V_f=V_g| -c_Map_Omap__le(V_g,V_f,T_a,T_b)| -c_Map_Omap__le(V_f,V_g,T_a,T_b).
% 152.76/152.87 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.
% 152.76/152.87 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.
% 152.76/152.87 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)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_u)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(V_Q,V_Z),V_s_H))| -c_Natural_Oevaln(V_c,V_s,V_n,V_s_H)| -hBOOL(hAPP(hAPP(V_P,V_Z),V_s))| -c_Hoare__Mirabelle_Otriple__valid(V_n,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),V_P),V_c),V_Q),t_a).
% 152.76/152.87 0 [] hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)=c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a).
% 152.76/152.87 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.
% 152.76/152.87 0 [] c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(c_in(V_c,V_A,T_b)).
% 152.76/152.87 0 [] hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1),V_com),V_fun2)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H),V_com_H),V_fun2_H)|V_fun1=V_fun1_H.
% 152.76/152.87 0 [] hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1),V_com),V_fun2)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H),V_com_H),V_fun2_H)|V_com=V_com_H.
% 152.76/152.87 0 [] hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1),V_com),V_fun2)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H),V_com_H),V_fun2_H)|V_fun2=V_fun2_H.
% 152.76/152.87 0 [] c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 152.76/152.87 0 [] c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 152.76/152.87 0 [] -class_Orderings_Oorder(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 152.76/152.87 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(c_in(V_a,V_C,T_a)).
% 152.76/152.87 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(c_in(V_a,V_A,T_a)).
% 152.76/152.87 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 152.76/152.87 0 [] hAPP(V_f,V_a)=V_b| -hBOOL(c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),T_a)).
% 152.76/152.87 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).
% 152.76/152.87 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).
% 152.76/152.87 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).
% 152.76/152.87 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)).
% 152.76/152.87 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)).
% 152.76/152.87 0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 152.76/152.87 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(c_in(V_x,V_B,T_a)).
% 152.76/152.87 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(T_a),T_a)=c_Orderings_Otop__class_Otop(T_a).
% 152.76/152.87 0 [] c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)).
% 152.76/152.87 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).
% 152.76/152.87 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).
% 152.76/152.87 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)).
% 152.76/152.87 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)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_u)).
% 152.76/152.87 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a).
% 152.76/152.87 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 152.76/152.87 0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a).
% 152.76/152.87 0 [] hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_c,V_B,T_a)).
% 152.76/152.87 0 [] hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 152.76/152.87 0 [] c_Suc(V_n)!=V_n.
% 152.76/152.87 0 [] V_n!=c_Suc(V_n).
% 152.76/152.87 0 [] c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 152.76/152.87 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x.
% 152.76/152.87 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 152.76/152.87 0 [] -class_Orderings_Oorder(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 152.76/152.87 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 152.76/152.87 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).
% 152.76/152.87 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.
% 152.76/152.87 0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))| -hBOOL(c_in(V_a,V_B,T_a)).
% 152.76/152.87 0 [] hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))| -hBOOL(c_in(V_a,V_A,T_a)).
% 152.76/152.87 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)).
% 152.76/152.87 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)).
% 152.76/152.87 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)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_i),V_n)).
% 152.76/152.87 0 [] -class_Orderings_Oorder(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanLessThan(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)).
% 152.76/152.87 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.
% 152.76/152.87 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 152.76/152.87 0 [] hBOOL(c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)).
% 152.76/152.87 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)).
% 152.76/152.87 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)).
% 152.76/152.87 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).
% 152.76/152.87 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)).
% 152.76/152.87 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))).
% 152.76/152.87 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Finite__Set_Olinorder__class_OMin(V_A,T_a)),V_x))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 152.76/152.87 0 [] hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 152.76/152.87 0 [] hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 152.76/152.87 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)).
% 152.76/152.87 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).
% 152.76/152.87 0 [] c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_c,V_A,T_b)).
% 152.76/152.87 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)).
% 152.76/152.87 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)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_u)).
% 152.76/152.87 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)).
% 152.76/152.87 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Finite__Set_Olinorder__class_OMax(V_A,T_a)))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 152.76/152.87 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),c_Complete__Lattice_OSup__class_OSup(V_A,T_a)))| -hBOOL(c_in(V_x,V_A,T_a)).
% 152.76/152.87 0 [] c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_pn))|hAPP(c_Com_Obody,V_pn)=c_Option_Ooption_ONone(tc_Com_Ocom).
% 152.76/152.87 0 [] c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),T_a)| -c_Hoare__Mirabelle_Otriple__valid(V_n,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_Q),T_a).
% 152.76/152.87 0 [] c_Hoare__Mirabelle_Otriple__valid(V_n,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_Q),T_a)| -c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),T_a).
% 152.76/152.87 0 [] hAPP(c_Option_Othe(T_a),c_Option_Ooption_OSome(V_x,T_a))=V_x.
% 152.76/152.87 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),hAPP(V_P,V_pn)),hAPP(c_Com_Ocom_OBODY,V_pn)),hAPP(V_Q,V_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -hBOOL(c_in(V_pn,V_Procs,tc_Com_Opname))| -c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 152.76/152.87 0 [] c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),V_P),V_c),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,V_c),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate).
% 152.76/152.87 0 [] hAPP(c_Com_Obody,V_pn)!=c_Option_Ooption_OSome(V_b,tc_Com_Ocom)| -c_Com_OWT__bodies|c_Com_OWT(V_b).
% 152.76/152.87 0 [] v_sko__Hoare__Mirabelle__Xsingle__stateE__1(V_t)!=V_t| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 152.76/152.87 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Finite__Set_Olinorder__class_OMin(V_N,T_a)),c_Finite__Set_Olinorder__class_OMin(V_M,T_a)))| -c_Finite__Set_Ofinite(V_N,T_a)|V_M=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_M),V_N)).
% 152.76/152.87 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Finite__Set_Olinorder__class_OMax(V_M,T_a)),c_Finite__Set_Olinorder__class_OMax(V_N,T_a)))| -c_Finite__Set_Ofinite(V_N,T_a)|V_M=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_M),V_N)).
% 152.76/152.87 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(V_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a))),V_Q,tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 152.76/152.87 0 [] c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P,V_n,V_s,V_s1),V_s1)| -c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1).
% 152.76/152.87 0 [] c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_pn),V_s0,c_Suc(V_n),V_s1)| -c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn)),V_s0,V_n,V_s1).
% 152.76/152.87 0 [] -class_Orderings_Obot(T_a)|c_Orderings_Obot__axioms(c_lesse_quals(T_a),c_Orderings_Obot__class_Obot(T_a),T_a).
% 152.76/152.87 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))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 152.76/152.87 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))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 152.76/152.87 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)| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 152.76/152.87 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)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 152.76/152.87 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))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_a)).
% 152.76/152.87 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OgreaterThanLessThan(V_k,V_l,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_k)).
% 152.76/152.87 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_l),V_k)).
% 152.76/152.87 0 [] -class_HOL_Oord(T_b)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,T_b)),V_f),V_g))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_b),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)))).
% 152.76/152.87 0 [] -class_HOL_Oord(T_b)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,T_b)),V_f),V_g))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_b),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)))).
% 152.76/152.87 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeast(V_x,T_a)),c_SetInterval_Oord__class_OatLeast(V_y,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 152.76/152.87 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeast(V_x,T_a)),c_SetInterval_Oord__class_OatLeast(V_y,T_a))).
% 152.76/152.87 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b)).
% 152.76/152.87 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))).
% 152.76/152.87 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_d))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))).
% 152.76/152.87 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_d))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_a)).
% 152.76/152.87 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatMost(V_x,T_a)),c_SetInterval_Oord__class_OatMost(V_y,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 152.76/152.87 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatMost(V_x,T_a)),c_SetInterval_Oord__class_OatMost(V_y,T_a))).
% 152.76/152.87 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OgreaterThan(V_x,T_a)),c_SetInterval_Oord__class_OgreaterThan(V_y,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 152.76/152.87 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OgreaterThan(V_x,T_a)),c_SetInterval_Oord__class_OgreaterThan(V_y,T_a))).
% 152.76/152.87 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OlessThan(V_x,T_a)),c_SetInterval_Oord__class_OlessThan(V_y,T_a)))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 152.76/152.87 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OlessThan(V_x,T_a)),c_SetInterval_Oord__class_OlessThan(V_y,T_a))).
% 152.76/152.88 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_c),V_a))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a))).
% 152.76/152.88 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_d))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_b),V_a))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a))).
% 152.76/152.88 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).
% 152.76/152.88 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).
% 152.76/152.88 0 [] c_Set_Oimage(c_COMBB(V_f,V_g,T_c,T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Set_Oimage(V_f,c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c,T_a).
% 152.76/152.88 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))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))).
% 152.76/152.88 0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)))).
% 152.76/152.88 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),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)))).
% 152.76/152.88 0 [] c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 152.76/152.88 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),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)))).
% 152.76/152.88 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a)),V_A)).
% 152.76/152.88 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_b,tc_bool)),c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(V_A,V_B,V_f,T_b,T_a)),V_A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),c_Set_Oimage(V_f,V_A,T_b,T_a))).
% 152.76/152.88 0 [] c_Finite__Set_Ofinite(V_B,T_b)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_b,tc_bool)),V_B),c_Set_Oimage(V_f,V_A,T_a,T_b)))| -c_Finite__Set_Ofinite(V_A,T_a).
% 152.76/152.88 0 [] hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_b))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),V_B)).
% 152.76/152.88 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),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))).
% 152.76/152.88 0 [] V_B=c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),c_Set_Oimage(V_f,V_A,T_b,T_a))).
% 152.76/152.88 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Map_Odom(V_f,T_a,T_b)),c_Map_Odom(V_g,T_a,T_b)))| -c_Map_Omap__le(V_f,V_g,T_a,T_b).
% 152.76/152.88 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,V_c),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Com_OWT(V_c)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_sko__Hoare__Mirabelle__XMGF__lemma1__1(V_G))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 152.76/152.88 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,V_c),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Com_OWT(V_c)|hBOOL(c_in(v_sko__Hoare__Mirabelle__XMGF__lemma1__1(V_G),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname))| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 152.76/152.88 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).
% 152.76/152.88 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).
% 152.76/152.88 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),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(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),V_G,tc_Hoare__Mirabelle_Otriple(T_a)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 152.76/152.88 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),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(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a).
% 152.76/152.88 0 [] c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname).
% 152.76/152.88 0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),V_s1))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_s1)).
% 152.76/152.88 0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),V_s1))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_s1)).
% 152.76/152.88 0 [] c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,V_c),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Com_OWT(V_c)| -c_Com_OWT__bodies| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 152.76/152.88 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Finite__Set_Ofinite(V_Procs,tc_Com_Opname)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(V_G,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate).
% 152.76/152.88 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,V_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,V_pn)),V_G,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate).
% 152.76/152.88 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 152.76/152.88 0 [] -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_b,tc_bool)),V_x),V_A))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_x,T_b,T_a)),c_Set_Oimage(V_f,V_A,T_b,T_a))).
% 152.76/152.88 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 152.76/152.88 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)).
% 152.76/152.88 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),V_ts),V_ts_H))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a).
% 152.76/152.88 0 [] hBOOL(hAPP(V_Q,V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_P),V_Q))| -hBOOL(hAPP(V_P,V_x)).
% 152.76/152.88 0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_x)).
% 152.76/152.88 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_x)).
% 152.76/152.88 0 [] hBOOL(hAPP(V_Q,V_x))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_P),V_Q)).
% 152.76/152.88 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),V_G_H),V_G))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a).
% 152.76/152.88 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 152.76/152.88 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_A)).
% 152.76/152.88 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_x),V_x)).
% 152.76/152.88 0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_z))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 152.76/152.88 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_z),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_z),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 152.76/152.88 0 [] c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a)=c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a).
% 152.76/152.88 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).
% 152.76/152.88 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 152.76/152.88 0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 152.76/152.88 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x)).
% 152.76/152.88 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 152.76/152.88 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_lesse_quals(T_a),V_x),V_y)).
% 152.76/152.88 0 [] V_A=V_B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 152.76/152.88 0 [] V_A=V_B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_B),V_A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 152.76/152.88 0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 152.76/152.88 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).
% 152.76/152.88 0 [] c_Hoare__Mirabelle_Ostate__not__singleton|V_x=V_xa.
% 152.76/152.88 0 [] -class_Orderings_Obot(T_a)|hBOOL(hAPP(hAPP(c_lesse_quals(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)).
% 152.76/152.88 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_A)).
% 152.76/152.88 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)).
% 152.76/152.88 0 [] hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 152.76/152.88 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)).
% 152.76/152.88 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),V_ts),V_G)).
% 152.76/152.88 0 [] hAPP(c_Com_Ocom_OBODY,V_pname)!=hAPP(c_Com_Ocom_OBODY,V_pname_H)|V_pname=V_pname_H.
% 152.76/152.88 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).
% 152.76/152.88 0 [] -class_HOL_Oord(T_b)|hBOOL(hAPP(hAPP(c_lesse_quals(T_b),hAPP(V_f,V_x)),hAPP(V_g,V_x)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(T_a,T_b)),V_f),V_g)).
% 152.76/152.88 0 [] c_Hoare__Mirabelle_Ostate__not__singleton.
% 152.76/152.88 0 [] c_Com_OWT__bodies.
% 152.76/152.88 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)))).
% 152.76/152.88 0 [] -c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Com_Ostate).
% 152.76/152.88 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 152.76/152.88 0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 152.76/152.88 0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 152.76/152.88 0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 152.76/152.88 0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 152.76/152.88 0 [] class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))| -class_Lattices_Oboolean__algebra(T_1).
% 152.76/152.88 0 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))| -class_Finite__Set_Ofinite_Ofinite(T_1)| -class_Finite__Set_Ofinite_Ofinite(T_2).
% 152.76/152.88 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 152.76/152.88 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 152.76/152.88 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 152.76/152.88 0 [] class_Orderings_Otop(tc_fun(T_2,T_1))| -class_Orderings_Otop(T_1).
% 152.76/152.88 0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 152.76/152.88 0 [] class_HOL_Ouminus(tc_fun(T_2,T_1))| -class_HOL_Ouminus(T_1).
% 152.76/152.88 0 [] class_HOL_Ominus(tc_fun(T_2,T_1))| -class_HOL_Ominus(T_1).
% 152.76/152.88 0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 152.76/152.88 0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 152.76/152.88 0 [] class_Lattices_Olower__semilattice(tc_nat).
% 152.76/152.88 0 [] class_Lattices_Odistrib__lattice(tc_nat).
% 152.76/152.88 0 [] class_Orderings_Opreorder(tc_nat).
% 152.76/152.88 0 [] class_Orderings_Olinorder(tc_nat).
% 152.76/152.88 0 [] class_Lattices_Olattice(tc_nat).
% 152.76/152.88 0 [] class_Orderings_Oorder(tc_nat).
% 152.76/152.88 0 [] class_Orderings_Obot(tc_nat).
% 152.76/152.88 0 [] class_HOL_Ominus(tc_nat).
% 152.76/152.88 0 [] class_HOL_Oord(tc_nat).
% 152.76/152.88 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 152.76/152.88 0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 152.76/152.88 0 [] class_Lattices_Olower__semilattice(tc_bool).
% 152.76/152.88 0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 152.76/152.88 0 [] class_Lattices_Obounded__lattice(tc_bool).
% 152.76/152.88 0 [] class_Lattices_Oboolean__algebra(tc_bool).
% 152.76/152.88 0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 152.76/152.88 0 [] class_Orderings_Opreorder(tc_bool).
% 152.76/152.88 0 [] class_Lattices_Olattice(tc_bool).
% 152.76/152.88 0 [] class_Orderings_Oorder(tc_bool).
% 152.76/152.88 0 [] class_Orderings_Otop(tc_bool).
% 152.76/152.88 0 [] class_Orderings_Obot(tc_bool).
% 152.76/152.88 0 [] class_HOL_Ouminus(tc_bool).
% 152.76/152.88 0 [] class_HOL_Ominus(tc_bool).
% 152.76/152.88 0 [] class_HOL_Oord(tc_bool).
% 152.76/152.88 0 [] class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(T_1))| -class_Finite__Set_Ofinite_Ofinite(T_1).
% 152.76/152.88 0 [] c_COMBC(V_P,V_Q,V_R,T_b,T_c,T_a)=hAPP(hAPP(V_P,V_R),V_Q).
% 152.76/152.88 0 [] hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 152.76/152.88 0 [] hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_x),V_x)).
% 152.76/152.88 0 [] V_X=V_Y| -hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_X),V_Y)).
% 152.76/152.88 end_of_list.
% 152.76/152.88
% 152.76/152.88 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 152.76/152.88
% 152.76/152.88 This ia a non-Horn set with equality. The strategy will be
% 152.76/152.88 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 152.76/152.88 deletion, with positive clauses in sos and nonpositive
% 152.76/152.88 clauses in usable.
% 152.76/152.88
% 152.76/152.88 dependent: set(knuth_bendix).
% 152.76/152.88 dependent: set(anl_eq).
% 152.76/152.88 dependent: set(para_from).
% 152.76/152.88 dependent: set(para_into).
% 152.76/152.88 dependent: clear(para_from_right).
% 152.76/152.88 dependent: clear(para_into_right).
% 152.76/152.88 dependent: set(para_from_vars).
% 152.76/152.88 dependent: set(eq_units_both_ways).
% 152.76/152.88 dependent: set(dynamic_demod_all).
% 152.76/152.88 dependent: set(dynamic_demod).
% 152.76/152.88 dependent: set(order_eq).
% 152.76/152.88 dependent: set(back_demod).
% 152.76/152.88 dependent: set(lrpo).
% 152.76/152.88 dependent: set(hyper_res).
% 152.76/152.88 dependent: set(unit_deletion).
% 152.76/152.88 dependent: set(factor).
% 152.76/152.88
% 152.76/152.88 ------------> process usable:
% 152.76/152.88 ** KEPT (pick-wt=14): 2 [copy,1,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).
% 152.76/152.88 ** KEPT (pick-wt=21): 3 [] -class_Lattices_Oboolean__algebra(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Otop__class_Otop(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=c_Orderings_Obot__class_Obot(A)|c_HOL_Ouminus__class_Ouminus(B,A)=C.
% 152.76/152.88 ** KEPT (pick-wt=18): 4 [] -class_Orderings_Oorder(A)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanAtMost(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)).
% 152.76/152.88 ** KEPT (pick-wt=13): 5 [] -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).
% 152.76/152.88 ** KEPT (pick-wt=24): 6 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(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))).
% 152.76/152.88 ** KEPT (pick-wt=12): 7 [] -class_Orderings_Olinorder(A)|c_SetInterval_Oord__class_OlessThan(B,A)!=c_SetInterval_Oord__class_OlessThan(C,A)|B=C.
% 152.76/152.88 ** KEPT (pick-wt=22): 8 [] 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| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),A),B)).
% 152.76/152.88 ** KEPT (pick-wt=11): 9 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 152.76/152.88 ** KEPT (pick-wt=11): 10 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 152.76/152.88 ** KEPT (pick-wt=20): 11 [] -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).
% 152.76/152.88 ** KEPT (pick-wt=19): 12 [] hAPP(A,B)!=c_Option_Ooption_OSome(C,D)|c_Set_Oinsert(B,c_Map_Odom(A,E,D),E)=c_Map_Odom(A,E,D).
% 152.76/152.88 ** KEPT (pick-wt=15): 13 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),C)).
% 152.76/152.88 ** KEPT (pick-wt=15): 14 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),C)).
% 152.76/152.88 ** KEPT (pick-wt=17): 15 [] -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).
% 152.76/152.88 ** KEPT (pick-wt=17): 16 [] -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).
% 152.76/152.88 ** KEPT (pick-wt=17): 17 [] -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).
% 152.76/152.88 ** KEPT (pick-wt=17): 18 [] -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).
% 152.76/152.88 ** KEPT (pick-wt=13): 20 [copy,19,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).
% 152.76/152.88 ** KEPT (pick-wt=13): 21 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B.
% 152.76/152.88 ** KEPT (pick-wt=14): 22 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 152.76/152.88 ** KEPT (pick-wt=14): 23 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 152.76/152.88 ** KEPT (pick-wt=6): 24 [] c_Option_Ooption_ONone(A)!=c_Option_Ooption_OSome(B,A).
% 152.76/152.88 Following clause subsumed by 24 during input processing: 0 [] c_Option_Ooption_ONone(A)!=c_Option_Ooption_OSome(B,A).
% 152.76/152.88 ** KEPT (pick-wt=146): 25 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),B,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),C,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),D,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),E,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),F,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),C,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),G,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),E,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(B,v_sko__Hoare__Mirabelle__Xfinite__pointwise__1(A,B,F,D,G,C))),hAPP(C,v_sko__Hoare__Mirabelle__Xfinite__pointwise__1(A,B,F,D,G,C))),hAPP(D,v_sko__Hoare__Mirabelle__Xfinite__pointwise__1(A,B,F,D,G,C))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b)| -c_Finite__Set_Ofinite(E,t_a).
% 152.76/152.88 ** KEPT (pick-wt=146): 26 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),B,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),C,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),D,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),E,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b)| -c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),F,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),C,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),G,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),E,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b)|c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(F,v_sko__Hoare__Mirabelle__Xfinite__pointwise__1(A,B,F,D,G,C))),hAPP(C,v_sko__Hoare__Mirabelle__Xfinite__pointwise__1(A,B,F,D,G,C))),hAPP(G,v_sko__Hoare__Mirabelle__Xfinite__pointwise__1(A,B,F,D,G,C))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b)| -c_Finite__Set_Ofinite(E,t_a).
% 152.76/152.88 ** KEPT (pick-wt=11): 27 [] -class_Lattices_Oboolean__algebra(A)|c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_Orderings_Otop__class_Otop(A).
% 152.76/152.88 ** KEPT (pick-wt=11): 28 [] -class_Lattices_Oboolean__algebra(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_HOL_Ouminus__class_Ouminus(B,A),A)=c_Orderings_Otop__class_Otop(A).
% 152.76/152.88 ** KEPT (pick-wt=14): 29 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(c_in(A,B,C)).
% 152.76/152.88 ** KEPT (pick-wt=20): 30 [] hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D))|hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 152.76/152.88 Following clause subsumed by 30 during input processing: 0 [] hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D))|hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 152.76/152.88 ** KEPT (pick-wt=17): 31 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),c_Set_Oinsert(A,D,C)),B)).
% 152.76/152.88 ** KEPT (pick-wt=24): 32 [] -class_Orderings_Olinorder(A)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A),c_SetInterval_Oord__class_OgreaterThan(C,A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OgreaterThan(B,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.88 ** KEPT (pick-wt=11): 33 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 152.76/152.88 ** KEPT (pick-wt=21): 34 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,C,D,E)| -hBOOL(c_in(B,C,D)).
% 152.76/152.88 ** KEPT (pick-wt=26): 35 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D))|hBOOL(c_in(C,B,A)).
% 152.76/152.88 ** KEPT (pick-wt=26): 36 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))|hBOOL(c_in(D,B,A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(D,C,A))).
% 152.76/152.88 Following clause subsumed by 35 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D))|hBOOL(c_in(C,B,A)).
% 152.76/152.88 Following clause subsumed by 36 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(D,C,A)))|hBOOL(c_in(D,B,A)).
% 152.76/152.88 ** KEPT (pick-wt=22): 37 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|hBOOL(c_in(A,D,C))|hBOOL(c_in(A,B,C))|B=D.
% 152.76/152.88 ** KEPT (pick-wt=19): 38 [] -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).
% 152.76/152.88 ** KEPT (pick-wt=19): 39 [] -class_Orderings_Oorder(A)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A),c_SetInterval_Oord__class_OgreaterThanAtMost(C,D,A),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 152.76/152.88 ** KEPT (pick-wt=24): 40 [] -class_Orderings_Olinorder(A)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatMost(B,A),c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatMost(C,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.88 ** KEPT (pick-wt=16): 41 [] hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 152.76/152.88 Following clause subsumed by 41 during input processing: 0 [] hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 152.76/152.89 Following clause subsumed by 41 during input processing: 0 [] hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 152.76/152.89 ** KEPT (pick-wt=16): 42 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,c_Set_Ovimage(A,C,E,D),E)).
% 152.76/152.89 Following clause subsumed by 42 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,c_Set_Ovimage(A,C,E,D),E)).
% 152.76/152.89 ** KEPT (pick-wt=17): 44 [copy,43,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).
% 152.76/152.89 ** KEPT (pick-wt=11): 45 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 152.76/152.89 ** KEPT (pick-wt=11): 46 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 152.76/152.89 ** KEPT (pick-wt=17): 47 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=17): 48 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=11): 49 [] c_Set_Oinsert(A,B,C)=B| -hBOOL(c_in(A,B,C)).
% 152.76/152.89 ** KEPT (pick-wt=14): 50 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=14): 51 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=17): 52 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=17): 53 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=5): 54 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 152.76/152.89 ** KEPT (pick-wt=19): 55 [] -class_Orderings_Oorder(A)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A),c_SetInterval_Oord__class_OgreaterThanLessThan(C,D,A),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 152.76/152.89 ** KEPT (pick-wt=19): 56 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=18): 57 [] -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)).
% 152.76/152.89 ** KEPT (pick-wt=15): 59 [copy,58,flip.1] c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(A,B,C,D))=B| -c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,A),C,B,D).
% 152.76/152.89 ** KEPT (pick-wt=24): 60 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=13): 61 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(C,A,tc_fun(D,tc_bool)),B)).
% 152.76/152.89 ** KEPT (pick-wt=13): 62 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B)).
% 152.76/152.89 ** KEPT (pick-wt=11): 63 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A)=c_Orderings_Otop__class_Otop(A).
% 152.76/152.89 ** KEPT (pick-wt=28): 64 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool)))).
% 152.76/152.89 ** KEPT (pick-wt=28): 65 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),D)).
% 152.76/152.89 ** KEPT (pick-wt=9): 66 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 152.76/152.89 ** KEPT (pick-wt=9): 67 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 152.76/152.89 Following clause subsumed by 66 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.
% 152.76/152.89 Following clause subsumed by 66 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.
% 152.76/152.89 Following clause subsumed by 66 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 152.76/152.89 ** KEPT (pick-wt=13): 68 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=11): 69 [] c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C).
% 152.76/152.89 ** KEPT (pick-wt=11): 70 [] c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C).
% 152.76/152.89 ** KEPT (pick-wt=12): 71 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(A),B),C))| -c_Natural_Oevaln(A,B,D,C).
% 152.76/152.89 Following clause subsumed by 71 during input processing: 0 [] hBOOL(hAPP(hAPP(c_Natural_Oevalc(A),B),C))| -c_Natural_Oevaln(A,B,D,C).
% 152.76/152.89 ** KEPT (pick-wt=25): 72 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),E),D)).
% 152.76/152.89 ** KEPT (pick-wt=25): 73 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),E),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 152.76/152.89 ** KEPT (pick-wt=19): 74 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A)),C)).
% 152.76/152.89 ** KEPT (pick-wt=19): 75 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Lattices_Oupper__semilattice__class_Osup(D,B,A)),C)).
% 152.76/152.89 ** KEPT (pick-wt=19): 76 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.89 ** KEPT (pick-wt=19): 77 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 152.76/152.89 Following clause subsumed by 74 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A)),C)).
% 152.76/152.89 Following clause subsumed by 75 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Lattices_Oupper__semilattice__class_Osup(D,B,A)),C)).
% 152.76/152.89 ** KEPT (pick-wt=10): 78 [] -class_Orderings_Otop(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Orderings_Otop__class_Otop(A))).
% 152.76/152.89 ** KEPT (pick-wt=12): 79 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Lattices_Olower__semilattice__class_Oinf(B,C,A)),B)).
% 152.76/152.89 ** KEPT (pick-wt=12): 80 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Lattices_Olower__semilattice__class_Oinf(B,C,A)),C)).
% 152.76/152.89 ** KEPT (pick-wt=26): 81 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.89 Following clause subsumed by 81 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.89 Following clause subsumed by 81 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.89 ** KEPT (pick-wt=12): 82 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Lattices_Olower__semilattice__class_Oinf(B,C,A)),C)).
% 152.76/152.89 ** KEPT (pick-wt=12): 83 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Lattices_Olower__semilattice__class_Oinf(B,C,A)),B)).
% 152.76/152.89 ** KEPT (pick-wt=15): 84 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.89 ** KEPT (pick-wt=15): 85 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.89 ** KEPT (pick-wt=15): 86 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 152.76/152.89 ** KEPT (pick-wt=20): 87 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(B,A)),c_HOL_Ouminus__class_Ouminus(C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 152.76/152.89 ** KEPT (pick-wt=20): 88 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(C,A)),c_HOL_Ouminus__class_Ouminus(B,A))).
% 152.76/152.89 ** KEPT (pick-wt=15): 89 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=B| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.89 ** KEPT (pick-wt=15): 90 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=B|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.89 ** KEPT (pick-wt=15): 91 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=C| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 152.76/152.89 ** KEPT (pick-wt=26): 92 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Lattices_Oupper__semilattice__class_Osup(B,C,A)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 152.76/152.89 ** KEPT (pick-wt=9): 93 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,A,C)).
% 152.76/152.89 ** KEPT (pick-wt=9): 94 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(B,A)).
% 152.76/152.89 ** KEPT (pick-wt=24): 95 [] -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)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.89 ** KEPT (pick-wt=33): 96 [] -class_Orderings_Olinorder(A)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OgreaterThanAtMost(C,D,A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(B,D,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.89 ** KEPT (pick-wt=8): 97 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 152.76/152.89 ** KEPT (pick-wt=20): 99 [copy,98,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).
% 152.76/152.89 ** KEPT (pick-wt=20): 101 [copy,100,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).
% 152.76/152.89 ** KEPT (pick-wt=19): 102 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=19): 103 [] 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.
% 152.76/152.89 ** KEPT (pick-wt=29): 104 [] -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_OgreaterThanAtMost(B,C,A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.89 ** KEPT (pick-wt=14): 105 [] A=B| -hBOOL(c_in(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)).
% 152.76/152.89 ** KEPT (pick-wt=29): 106 [] -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)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.89 ** KEPT (pick-wt=21): 107 [] c_Set_Oimage(c_COMBK(A,B,C),D,C,B)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)| -hBOOL(c_in(E,D,C)).
% 152.76/152.89 ** KEPT (pick-wt=37): 108 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),tc_fun(A,tc_bool))),D))| -hBOOL(c_in(C,B,A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A))).
% 152.76/152.89 ** KEPT (pick-wt=37): 109 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(c_in(C,B,A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),tc_fun(A,tc_bool))),D)).
% 152.76/152.89 Following clause subsumed by 109 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(c_in(C,B,A))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),tc_fun(A,tc_bool))),D)).
% 152.76/152.89 ** KEPT (pick-wt=21): 110 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)).
% 152.76/152.89 ** KEPT (pick-wt=19): 111 [] -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)).
% 152.76/152.89 ** KEPT (pick-wt=13): 112 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=28): 113 [] hAPP(A,B)!=c_Option_Ooption_ONone(C)|c_HOL_Ominus__class_Ominus(c_Map_Odom(A,D,C),c_Set_Oinsert(B,E,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_Map_Odom(A,D,C),E,tc_fun(D,tc_bool)).
% 152.76/152.89 ** KEPT (pick-wt=18): 114 [] -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)).
% 152.76/152.89 ** KEPT (pick-wt=14): 115 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)),C)).
% 152.76/152.89 ** KEPT (pick-wt=11): 116 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=11): 117 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=11): 118 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C).
% 152.76/152.89 ** KEPT (pick-wt=33): 119 [] -class_Orderings_Olinorder(A)|c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A),c_SetInterval_Oord__class_OgreaterThanAtMost(C,D,A),tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OgreaterThanAtMost(B,D,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.89 ** KEPT (pick-wt=18): 120 [] -class_Orderings_Oorder(A)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(B,A),c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 152.76/152.89 ** KEPT (pick-wt=15): 121 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=10): 122 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Otop__class_Otop(A),A)=c_Orderings_Otop__class_Otop(A).
% 152.76/152.89 ** KEPT (pick-wt=10): 123 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(A),B,A)=c_Orderings_Otop__class_Otop(A).
% 152.76/152.89 ** KEPT (pick-wt=14): 124 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,C,tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(C,B).
% 152.76/152.89 Following clause subsumed by 118 during input processing: 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C)| -c_Finite__Set_Ofinite(B,C).
% 152.76/152.89 ** KEPT (pick-wt=9): 125 [] c_Hoare__Mirabelle_Otriple__valid(A,B,C)| -c_Hoare__Mirabelle_Otriple__valid(c_Suc(A),B,C).
% 152.76/152.89 ** KEPT (pick-wt=12): 126 [] -class_Orderings_Olinorder(A)|c_SetInterval_Oord__class_OgreaterThan(B,A)!=c_SetInterval_Oord__class_OgreaterThan(C,A)|B=C.
% 152.76/152.89 ** KEPT (pick-wt=15): 127 [] c_Map_Omap__le(A,B,C,D)| -c_Map_Omap__le(E,B,C,D)| -c_Map_Omap__le(A,E,C,D).
% 152.76/152.89 ** KEPT (pick-wt=14): 128 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 152.76/152.89 ** KEPT (pick-wt=15): 129 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool)),C)).
% 152.76/152.89 ** KEPT (pick-wt=15): 130 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),C)).
% 152.76/152.89 ** KEPT (pick-wt=16): 131 [] -class_HOL_Oord(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(c_in(C,c_SetInterval_Oord__class_OatLeast(B,A),A)).
% 152.76/152.89 ** KEPT (pick-wt=16): 132 [] -class_HOL_Oord(A)|hBOOL(c_in(B,c_SetInterval_Oord__class_OatLeast(C,A),A))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 152.76/152.89 ** KEPT (pick-wt=9): 133 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Set_Oinsert(C,A,B),B).
% 152.76/152.89 ** KEPT (pick-wt=9): 134 [] c_Finite__Set_Ofinite(c_Set_Oinsert(A,B,C),C)| -c_Finite__Set_Ofinite(B,C).
% 152.76/152.89 ** KEPT (pick-wt=18): 135 [] -class_Orderings_Oorder(A)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanLessThan(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)).
% 152.76/152.89 ** KEPT (pick-wt=20): 136 [] hAPP(A,B)=hAPP(C,B)| -hBOOL(c_in(B,c_Map_Odom(A,D,E),D))| -c_Map_Omap__le(A,C,D,E).
% 152.76/152.89 ** KEPT (pick-wt=14): 137 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C)| -c_Finite__Set_Ofinite(A,C).
% 152.76/152.89 Following clause subsumed by 137 during input processing: 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C)| -c_Finite__Set_Ofinite(A,C).
% 152.76/152.89 ** KEPT (pick-wt=32): 138 [] 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))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),D),A)).
% 152.76/152.89 ** KEPT (pick-wt=32): 139 [] 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))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),D),A)).
% 152.76/152.89 ** KEPT (pick-wt=6): 140 [] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_ONone(B).
% 152.76/152.89 Following clause subsumed by 140 during input processing: 0 [] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_ONone(B).
% 152.76/152.89 ** KEPT (pick-wt=10): 141 [] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_OSome(C,B)|A=C.
% 152.76/152.89 ** KEPT (pick-wt=15): 142 [] hAPP(A,B)!=c_Option_Ooption_OSome(C,D)|hBOOL(c_in(B,c_Map_Odom(A,E,D),E)).
% 152.76/152.89 ** KEPT (pick-wt=8): 143 [] c_Suc(A)!=c_Suc(B)|A=B.
% 152.76/152.89 Following clause subsumed by 143 during input processing: 0 [] c_Suc(A)!=c_Suc(B)|A=B.
% 152.76/152.89 ** KEPT (pick-wt=17): 144 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 152.76/152.89 ** KEPT (pick-wt=13): 145 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 152.76/152.89 ** KEPT (pick-wt=13): 146 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 152.76/152.89 ** KEPT (pick-wt=20): 147 [] hBOOL(c_in(A,B,C))|hBOOL(c_in(A,D,C))| -hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(C,tc_bool)),C)).
% 152.76/152.89 ** KEPT (pick-wt=17): 148 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=17): 149 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=17): 150 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=17): 151 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=33): 152 [] -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)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.89 ** KEPT (pick-wt=14): 153 [] hAPP(A,B)!=c_Option_Ooption_ONone(C)| -hBOOL(c_in(B,c_Map_Odom(A,D,C),D)).
% 152.76/152.89 ** KEPT (pick-wt=13): 154 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B.
% 152.76/152.89 ** KEPT (pick-wt=11): 155 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(B,tc_bool)),B).
% 152.76/152.89 ** KEPT (pick-wt=11): 156 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(B,tc_bool)),B).
% 152.76/152.89 ** KEPT (pick-wt=13): 157 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=13): 158 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=c_Orderings_Otop__class_Otop(A)|C=c_Orderings_Otop__class_Otop(A).
% 152.76/152.89 ** KEPT (pick-wt=12): 159 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Oupper__semilattice__class_Osup(B,C,A))).
% 152.76/152.89 ** KEPT (pick-wt=12): 160 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,B,A))).
% 152.76/152.89 Following clause subsumed by 92 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Lattices_Oupper__semilattice__class_Osup(B,C,A)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 152.76/152.89 Following clause subsumed by 92 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Lattices_Oupper__semilattice__class_Osup(B,C,A)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 152.76/152.89 ** KEPT (pick-wt=12): 161 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,B,A))).
% 152.76/152.89 ** KEPT (pick-wt=12): 162 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Oupper__semilattice__class_Osup(B,C,A))).
% 152.76/152.89 ** KEPT (pick-wt=19): 163 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,A))).
% 152.76/152.89 ** KEPT (pick-wt=19): 164 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Olower__semilattice__class_Oinf(D,C,A))).
% 152.76/152.89 ** KEPT (pick-wt=19): 165 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Lattices_Olower__semilattice__class_Oinf(B,C,A)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 152.76/152.89 ** KEPT (pick-wt=19): 166 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Lattices_Olower__semilattice__class_Oinf(B,C,A)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D)).
% 152.76/152.89 Following clause subsumed by 163 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,A))).
% 152.76/152.89 Following clause subsumed by 164 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Lattices_Olower__semilattice__class_Oinf(D,C,A))).
% 152.76/152.89 ** KEPT (pick-wt=20): 167 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ouminus__class_Ouminus(C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),c_HOL_Ouminus__class_Ouminus(B,A))).
% 152.76/152.89 Following clause subsumed by 167 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_HOL_Ouminus__class_Ouminus(C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),c_HOL_Ouminus__class_Ouminus(B,A))).
% 152.76/152.89 ** KEPT (pick-wt=20): 168 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(B,A)),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(C,A)),B)).
% 152.76/152.89 Following clause subsumed by 168 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(B,A)),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),c_HOL_Ouminus__class_Ouminus(C,A)),B)).
% 152.76/152.89 ** KEPT (pick-wt=9): 169 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B.
% 152.76/152.89 ** KEPT (pick-wt=9): 170 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B.
% 152.76/152.89 ** KEPT (pick-wt=10): 171 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=10): 172 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=13): 173 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=13): 174 [] -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).
% 152.76/152.89 ** KEPT (pick-wt=8): 175 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 152.76/152.89 Following clause subsumed by 175 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 152.76/152.89 Following clause subsumed by 175 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 152.76/152.89 Following clause subsumed by 175 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 152.76/152.89 ** KEPT (pick-wt=9): 176 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 152.76/152.89 ** KEPT (pick-wt=27): 177 [] 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.
% 152.76/152.89 ** KEPT (pick-wt=27): 178 [] 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.
% 152.76/152.89 ** KEPT (pick-wt=27): 179 [] 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.
% 152.76/152.89 ** KEPT (pick-wt=27): 180 [] 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.
% 152.76/152.89 ** KEPT (pick-wt=9): 181 [] c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 152.76/152.89 ** KEPT (pick-wt=9): 182 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 152.76/152.89 ** KEPT (pick-wt=18): 183 [] 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.
% 152.76/152.89 Following clause subsumed by 175 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 152.76/152.89 ** KEPT (pick-wt=17): 184 [] 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)).
% 152.76/152.89 ** KEPT (pick-wt=17): 185 [] 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)).
% 152.76/152.89 ** KEPT (pick-wt=25): 186 [] c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(A,B,C,D,E),c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,D),D)| -c_Finite__Set_Ofinite(c_Set_Oimage(B,c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)),E,C),C).
% 152.76/152.89 ** KEPT (pick-wt=41): 187 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),tc_fun(A,tc_bool))),D)).
% 152.76/152.89 ** KEPT (pick-wt=24): 188 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),A),c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)))).
% 152.76/152.89 ** KEPT (pick-wt=24): 189 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),A),c_HOL_Ouminus__class_Ouminus(B,tc_fun(C,tc_bool)))).
% 152.76/152.89 ** KEPT (pick-wt=24): 190 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Set_Oinsert(B,C,A)),c_Set_Oinsert(B,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),D)).
% 152.76/152.89 ** KEPT (pick-wt=31): 191 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=C| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,tc_bool)),A),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,tc_bool)),C),A)).
% 152.76/152.90 ** KEPT (pick-wt=37): 192 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(A,tc_bool))),c_Lattices_Olower__semilattice__class_Oinf(D,E,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),E))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D)).
% 152.76/152.90 ** KEPT (pick-wt=15): 193 [] c_Finite__Set_Ofinite(A,B)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,tc_bool)),A),C))| -c_Finite__Set_Ofinite(C,B).
% 152.76/152.90 Following clause subsumed by 193 during input processing: 0 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,tc_bool)),A),C)).
% 152.76/152.90 ** KEPT (pick-wt=19): 194 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),D),B)).
% 152.76/152.90 Following clause subsumed by 194 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),D),B))| -hBOOL(c_in(A,D,C)).
% 152.76/152.90 Following clause subsumed by 194 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),D),B)).
% 152.76/152.90 Following clause subsumed by 194 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),D),B)).
% 152.76/152.90 ** KEPT (pick-wt=23): 195 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(A,tc_bool))),C)).
% 152.76/152.90 ** KEPT (pick-wt=23): 196 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(A,tc_bool))),C)).
% 152.76/152.90 ** KEPT (pick-wt=32): 197 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C)).
% 152.76/152.90 Following clause subsumed by 197 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C)).
% 152.76/152.90 ** KEPT (pick-wt=37): 198 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(A,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(D,E,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),E))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D)).
% 152.76/152.90 ** KEPT (pick-wt=17): 199 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=B|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),A),B)).
% 152.76/152.90 ** KEPT (pick-wt=17): 200 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=A| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),B),A)).
% 152.76/152.90 ** KEPT (pick-wt=17): 201 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),A),B)).
% 152.76/152.90 ** KEPT (pick-wt=37): 202 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),c_HOL_Ominus__class_Ominus(D,E,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),E),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D)).
% 152.76/152.90 ** KEPT (pick-wt=26): 203 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_HOL_Ouminus__class_Ouminus(B,tc_fun(A,tc_bool))),c_HOL_Ouminus__class_Ouminus(C,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),B)).
% 152.76/152.90 ** KEPT (pick-wt=26): 204 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_HOL_Ouminus__class_Ouminus(C,tc_fun(A,tc_bool))),c_HOL_Ouminus__class_Ouminus(B,tc_fun(A,tc_bool)))).
% 152.76/152.90 Following clause subsumed by 203 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_HOL_Ouminus__class_Ouminus(B,tc_fun(A,tc_bool))),c_HOL_Ouminus__class_Ouminus(C,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),B)).
% 152.76/152.90 ** KEPT (pick-wt=21): 205 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D)).
% 152.76/152.90 ** KEPT (pick-wt=21): 206 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Set_Oinsert(D,B,A)),C)).
% 152.76/152.90 ** KEPT (pick-wt=17): 207 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=A| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),A),B)).
% 152.76/152.90 ** KEPT (pick-wt=17): 208 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=B| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),B),A)).
% 152.76/152.90 ** KEPT (pick-wt=32): 209 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(A,tc_bool))),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D)).
% 152.76/152.90 Following clause subsumed by 209 during input processing: 0 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(A,tc_bool))),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),D)).
% 152.76/152.90 ** KEPT (pick-wt=26): 210 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Set_Ovimage(B,C,A,D)),c_Set_Ovimage(B,E,A,D)))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(D,tc_bool)),C),E)).
% 152.76/152.90 ** KEPT (pick-wt=23): 211 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Lattices_Olower__semilattice__class_Oinf(D,C,tc_fun(A,tc_bool)))).
% 152.76/152.90 ** KEPT (pick-wt=23): 212 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool)))).
% 152.76/152.90 ** KEPT (pick-wt=10): 213 [] c_Finite__Set_Ofinite(c_Set_Oimage(A,B,C,D),D)| -c_Finite__Set_Ofinite(B,C).
% 152.76/152.90 ** KEPT (pick-wt=16): 214 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 152.76/152.90 Following clause subsumed by 214 during input processing: 0 [] -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 152.76/152.90 Following clause subsumed by 214 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 152.76/152.90 Following clause subsumed by 214 during input processing: 0 [] hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 152.76/152.90 ** KEPT (pick-wt=159): 215 [] c_Hoare__Mirabelle_Ohoare__valids(A,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(B),C,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),D,tc_Com_Opname,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),E,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(B)),B)| -c_Hoare__Mirabelle_Ohoare__valids(c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(B),C,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),D,tc_Com_Opname,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),E,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(B)),tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(B),C,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),D,tc_Com_Opname,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),E,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(B)),B).
% 152.76/152.90 ** KEPT (pick-wt=12): 216 [] 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).
% 152.76/152.90 ** KEPT (pick-wt=8): 217 [] c_Hoare__Mirabelle_Ohoare__valids(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,B,C).
% 152.76/152.90 ** KEPT (pick-wt=13): 218 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=c_Orderings_Otop__class_Otop(A)|B=c_Orderings_Otop__class_Otop(A).
% 152.76/152.90 ** KEPT (pick-wt=33): 219 [] -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)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.90 ** KEPT (pick-wt=9): 220 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(A),A)=c_Orderings_Obot__class_Obot(A).
% 152.76/152.90 ** KEPT (pick-wt=16): 221 [] -class_HOL_Oord(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(c_in(B,c_SetInterval_Oord__class_OatMost(C,A),A)).
% 152.76/152.90 ** KEPT (pick-wt=16): 222 [] -class_HOL_Oord(A)|hBOOL(c_in(B,c_SetInterval_Oord__class_OatMost(C,A),A))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.90 ** KEPT (pick-wt=18): 223 [] -class_Orderings_Oorder(A)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(B,A),c_SetInterval_Oord__class_OgreaterThanLessThan(B,C,A),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 152.76/152.90 ** KEPT (pick-wt=19): 224 [] -class_Orderings_Oorder(A)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanLessThan(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)).
% 152.76/152.90 ** KEPT (pick-wt=11): 225 [] c_Natural_Oevaln(A,B,c_Suc(C),D)| -c_Natural_Oevaln(A,B,C,D).
% 152.76/152.90 ** KEPT (pick-wt=21): 226 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))|c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 152.76/152.90 ** KEPT (pick-wt=9): 227 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Orderings_Otop__class_Otop(A),A)=B.
% 152.76/152.90 ** KEPT (pick-wt=9): 228 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(A),B,A)=B.
% 152.76/152.90 ** KEPT (pick-wt=24): 229 [] -class_Lattices_Olattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(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))).
% 152.76/152.90 ** KEPT (pick-wt=20): 230 [] -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).
% 152.76/152.90 ** KEPT (pick-wt=19): 231 [] -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)).
% 152.76/152.90 ** KEPT (pick-wt=11): 232 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=B.
% 152.76/152.90 ** KEPT (pick-wt=16): 233 [] hBOOL(c_in(A,B,C))|A=D| -hBOOL(c_in(A,c_Set_Oinsert(D,B,C),C)).
% 152.76/152.90 ** KEPT (pick-wt=12): 234 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 152.76/152.90 ** KEPT (pick-wt=12): 235 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 152.76/152.90 ** KEPT (pick-wt=14): 236 [] c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool))!=c_HOL_Ouminus__class_Ouminus(C,tc_fun(B,tc_bool))|A=C.
% 152.76/152.90 ** KEPT (pick-wt=11): 237 [] -class_Orderings_Otop(A)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,A)),v_x)=c_Orderings_Otop__class_Otop(A).
% 152.76/152.90 ** KEPT (pick-wt=20): 238 [] -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).
% 152.76/152.90 ** KEPT (pick-wt=17): 239 [] A=B| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),A))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),B)).
% 152.76/152.90 ** KEPT (pick-wt=13): 240 [] A=B| -c_Map_Omap__le(B,A,C,D)| -c_Map_Omap__le(A,B,C,D).
% 152.76/152.90 ** KEPT (pick-wt=11): 241 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=B.
% 152.76/152.90 ** KEPT (pick-wt=24): 242 [] -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)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.90 ** KEPT (pick-wt=28): 243 [] hBOOL(hAPP(hAPP(A,B),C))| -c_Natural_Oevaln(D,E,F,C)| -hBOOL(hAPP(hAPP(G,B),E))| -c_Hoare__Mirabelle_Otriple__valid(F,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),G),D),A),t_a).
% 152.76/152.90 ** KEPT (pick-wt=12): 244 [] -class_Orderings_Olinorder(A)|c_SetInterval_Oord__class_OatLeast(B,A)!=c_SetInterval_Oord__class_OatLeast(C,A)|B=C.
% 152.76/152.90 ** KEPT (pick-wt=20): 245 [] hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),B),C),D)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),E),F),G)|B=E.
% 152.76/152.90 ** KEPT (pick-wt=20): 246 [] hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),B),C),D)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),E),F),G)|C=F.
% 152.76/152.90 ** KEPT (pick-wt=20): 247 [] hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),B),C),D)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),E),F),G)|D=G.
% 152.76/152.90 ** KEPT (pick-wt=16): 248 [] c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A)| -c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(B,tc_fun(A,tc_bool)),A)| -c_Finite__Set_Ofinite(B,A).
% 152.76/152.90 ** KEPT (pick-wt=16): 249 [] c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(A,B).
% 152.76/152.90 ** KEPT (pick-wt=19): 250 [] -class_Orderings_Oorder(A)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OgreaterThanLessThan(C,D,A),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 152.76/152.90 ** KEPT (pick-wt=24): 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(c_in(A,C,D)).
% 152.76/152.90 ** KEPT (pick-wt=24): 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(c_in(A,B,D)).
% 152.76/152.90 ** KEPT (pick-wt=20): 255 [] hAPP(A,B)=C| -hBOOL(c_in(B,c_Set_Ovimage(A,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),E,D),E)).
% 152.76/152.90 ** 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).
% 152.76/152.90 ** 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).
% 152.76/152.90 ** 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).
% 152.76/152.90 ** KEPT (pick-wt=26): 259 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_Set_Oinsert(B,C,A)),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),D))| -hBOOL(c_in(B,D,A)).
% 152.76/152.90 ** KEPT (pick-wt=9): 261 [copy,260,flip.2] -class_Lattices_Oboolean__algebra(A)|c_Orderings_Otop__class_Otop(A)=c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(A),A).
% 152.76/152.90 ** KEPT (pick-wt=14): 262 [] -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).
% 152.76/152.90 ** KEPT (pick-wt=14): 263 [] -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).
% 152.76/152.90 ** KEPT (pick-wt=24): 264 [] -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)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.90 ** KEPT (pick-wt=19): 265 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)),C).
% 152.76/152.90 ** KEPT (pick-wt=19): 266 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool)),D)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),D).
% 152.76/152.90 Following clause subsumed by 54 during input processing: 0 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A).
% 152.76/152.90 ** KEPT (pick-wt=15): 267 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,C,D)).
% 152.76/152.90 ** KEPT (pick-wt=15): 268 [] hBOOL(c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,B,D)).
% 152.76/152.90 ** KEPT (pick-wt=4): 269 [] c_Suc(A)!=A.
% 152.76/152.90 Following clause subsumed by 269 during input processing: 0 [flip.1] c_Suc(A)!=A.
% 152.76/152.90 ** KEPT (pick-wt=22): 270 [] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=B| -hBOOL(c_in(A,B,C)).
% 152.76/152.90 ** KEPT (pick-wt=8): 271 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,B,A)=B.
% 152.76/152.90 ** KEPT (pick-wt=19): 272 [] -class_Orderings_Oorder(A)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OgreaterThanAtMost(C,D,A),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 152.76/152.90 ** KEPT (pick-wt=18): 273 [] -class_Orderings_Olinorder(A)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(B,A),B,A))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(B,A).
% 152.76/152.90 ** KEPT (pick-wt=19): 274 [] -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).
% 152.76/152.90 ** KEPT (pick-wt=13): 275 [] -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.
% 152.76/152.90 ** KEPT (pick-wt=13): 276 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 152.76/152.90 Following clause subsumed by 276 during input processing: 0 [] hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 152.76/152.90 ** KEPT (pick-wt=26): 277 [] -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)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D)).
% 152.76/152.90 ** KEPT (pick-wt=19): 278 [] -class_Orderings_Oorder(A)|c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanLessThan(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)).
% 152.76/152.90 ** KEPT (pick-wt=12): 279 [] -class_Orderings_Olinorder(A)|c_SetInterval_Oord__class_OatMost(B,A)!=c_SetInterval_Oord__class_OatMost(C,A)|B=C.
% 152.76/152.90 ** KEPT (pick-wt=18): 280 [] -class_Orderings_Olinorder(A)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(B,A),B,A))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(B,A).
% 152.76/152.90 ** KEPT (pick-wt=13): 281 [] -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).
% 152.76/152.90 ** KEPT (pick-wt=14): 282 [] hBOOL(hAPP(A,hAPP(B,C)))| -hBOOL(hAPP(c_Set_Ovimage(B,A,D,E),C)).
% 152.76/152.90 ** KEPT (pick-wt=14): 283 [] hBOOL(hAPP(c_Set_Ovimage(A,B,C,D),E))| -hBOOL(hAPP(B,hAPP(A,E))).
% 152.76/152.90 ** KEPT (pick-wt=19): 284 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Finite__Set_Olinorder__class_OMin(B,A)),C))| -hBOOL(c_in(C,B,A))| -c_Finite__Set_Ofinite(B,A).
% 152.76/152.90 ** KEPT (pick-wt=20): 285 [] hBOOL(c_in(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 152.76/152.90 Following clause subsumed by 285 during input processing: 0 [] hBOOL(c_in(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 152.76/152.90 ** KEPT (pick-wt=17): 286 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D))| -hBOOL(hAPP(A,D)).
% 152.76/152.90 ** KEPT (pick-wt=17): 288 [copy,287,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).
% 152.76/152.90 ** KEPT (pick-wt=18): 289 [] c_Set_Ovimage(c_COMBK(A,B,C),D,C,B)=c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,B)).
% 152.76/152.90 ** KEPT (pick-wt=18): 290 [] -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)).
% 152.76/152.90 ** KEPT (pick-wt=24): 291 [] -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)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.90 ** KEPT (pick-wt=18): 292 [] -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)).
% 152.76/152.90 ** KEPT (pick-wt=19): 293 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Finite__Set_Olinorder__class_OMax(C,A)))| -hBOOL(c_in(B,C,A))| -c_Finite__Set_Ofinite(C,A).
% 152.76/152.90 ** KEPT (pick-wt=16): 294 [] -class_Complete__Lattice_Ocomplete__lattice(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),c_Complete__Lattice_OSup__class_OSup(C,A)))| -hBOOL(c_in(B,C,A)).
% 152.76/152.90 ** KEPT (pick-wt=30): 295 [] c_Hoare__Mirabelle_Otriple__valid(c_Suc(A),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),hAPP(c_Com_Ocom_OBODY,D)),E),B)| -c_Hoare__Mirabelle_Otriple__valid(A,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,D))),E),B).
% 152.76/152.90 ** KEPT (pick-wt=30): 296 [] c_Hoare__Mirabelle_Otriple__valid(A,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,D))),E),B)| -c_Hoare__Mirabelle_Otriple__valid(c_Suc(A),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),C),hAPP(c_Com_Ocom_OBODY,D)),E),B).
% 152.76/152.90 ** KEPT (pick-wt=139): 297 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(B),hAPP(C,D)),hAPP(c_Com_Ocom_OBODY,D)),hAPP(E,D)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),B)| -hBOOL(c_in(D,F,tc_Com_Opname))| -c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(B),C,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),E,tc_Com_Opname,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),F,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(B)),tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(B),C,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),E,tc_Com_Opname,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),F,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(B)),B).
% 152.76/152.90 ** KEPT (pick-wt=64): 298 [] c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),A),B),C),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),A),B),C),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,B),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate).
% 152.76/152.90 ** KEPT (pick-wt=10): 299 [] hAPP(c_Com_Obody,A)!=c_Option_Ooption_OSome(B,tc_Com_Ocom)| -c_Com_OWT__bodies|c_Com_OWT(B).
% 152.76/152.90 ** KEPT (pick-wt=5): 300 [] v_sko__Hoare__Mirabelle__Xsingle__stateE__1(A)!=A| -c_Hoare__Mirabelle_Ostate__not__singleton.
% 152.76/152.90 ** KEPT (pick-wt=31): 301 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Finite__Set_Olinorder__class_OMin(B,A)),c_Finite__Set_Olinorder__class_OMin(C,A)))| -c_Finite__Set_Ofinite(B,A)|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),C),B)).
% 152.76/152.90 ** KEPT (pick-wt=31): 302 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),c_Finite__Set_Olinorder__class_OMax(B,A)),c_Finite__Set_Olinorder__class_OMax(C,A)))| -c_Finite__Set_Ofinite(C,A)|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),B),C)).
% 152.76/152.90 ** KEPT (pick-wt=159): 303 [] c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(B),C,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),D,tc_Com_Opname,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),E,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(B)),B)| -c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(B),C,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),D,tc_Com_Opname,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),E,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(B)),tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(B),C,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B))),D,tc_Com_Opname,tc_fun(B,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(B)),E,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(B)),B).
% 152.76/152.90 ** KEPT (pick-wt=21): 304 [] c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,A)),B,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(A,C,B,D),D)| -c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,A),B,C,D).
% 152.76/152.90 ** KEPT (pick-wt=18): 305 [] c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,A),B,c_Suc(C),D)| -c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,A)),B,C,D).
% 152.76/152.90 ** KEPT (pick-wt=8): 306 [] -class_Orderings_Obot(A)|c_Orderings_Obot__axioms(c_lesse_quals(A),c_Orderings_Obot__class_Obot(A),A).
% 152.76/152.90 ** KEPT (pick-wt=18): 307 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.90 ** KEPT (pick-wt=18): 308 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.90 ** KEPT (pick-wt=18): 309 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.90 ** KEPT (pick-wt=18): 310 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.90 ** KEPT (pick-wt=18): 311 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 152.76/152.90 ** KEPT (pick-wt=18): 312 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OgreaterThanLessThan(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 152.76/152.90 ** KEPT (pick-wt=18): 313 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 152.76/152.90 ** KEPT (pick-wt=30): 314 [] -class_HOL_Oord(A)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,A)),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(C,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(C,D,B,A))),hAPP(D,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(C,D,B,A)))).
% 152.76/152.90 ** KEPT (pick-wt=30): 315 [] -class_HOL_Oord(A)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,A)),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),hAPP(C,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(C,D,B,A))),hAPP(D,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(C,D,B,A)))).
% 152.76/152.90 ** KEPT (pick-wt=22): 316 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeast(B,A)),c_SetInterval_Oord__class_OatLeast(C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 152.76/152.91 ** KEPT (pick-wt=22): 317 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeast(C,A)),c_SetInterval_Oord__class_OatLeast(B,A))).
% 152.76/152.91 ** KEPT (pick-wt=24): 318 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A)))|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.91 ** KEPT (pick-wt=31): 319 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(C,D,A)),c_SetInterval_Oord__class_OatLeastAtMost(B,E,A))).
% 152.76/152.91 ** KEPT (pick-wt=31): 320 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(D,B,A)),c_SetInterval_Oo
% 152.76/152.91 Search stopped in tp_alloc by max_mem option.
% 152.76/152.91 rd__class_OatLeastAtMost(E,C,A))).
% 152.76/152.91 ** KEPT (pick-wt=31): 321 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),E))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),D),B)).
% 152.76/152.91 ** KEPT (pick-wt=22): 322 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatMost(B,A)),c_SetInterval_Oord__class_OatMost(C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.91 ** KEPT (pick-wt=22): 323 [] -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatMost(B,A)),c_SetInterval_Oord__class_OatMost(C,A))).
% 152.76/152.91 ** KEPT (pick-wt=22): 324 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OgreaterThan(B,A)),c_SetInterval_Oord__class_OgreaterThan(C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),C),B)).
% 152.76/152.91 ** KEPT (pick-wt=22): 325 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OgreaterThan(C,A)),c_SetInterval_Oord__class_OgreaterThan(B,A))).
% 152.76/152.91 ** KEPT (pick-wt=22): 326 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OlessThan(B,A)),c_SetInterval_Oord__class_OlessThan(C,A)))| -hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C)).
% 152.76/152.91 ** KEPT (pick-wt=22): 327 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OlessThan(B,A)),c_SetInterval_Oord__class_OlessThan(C,A))).
% 152.76/152.91 ** KEPT (pick-wt=31): 328 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|hBOOL(hAPP(hAPP(c_lesse_quals(A),D),C))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(C,D,A)),c_SetInterval_Oord__class_OatLeastLessThan(B,E,A))).
% 152.76/152.91 ** KEPT (pick-wt=31): 329 [] -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),C))|hBOOL(hAPP(hAPP(c_lesse_quals(A),B),D))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(D,B,A)),c_SetInterval_Oord__class_OatLeastLessThan(E,C,A))).
% 152.76/152.91 ** KEPT (pick-wt=11): 330 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 152.76/152.91 ** KEPT (pick-wt=11): 331 [] -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).
% 152.76/152.91 ** KEPT (pick-wt=30): 332 [] 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))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(C,tc_bool)),A),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))).
% 152.76/152.91 ** KEPT (pick-wt=19): 333 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,tc_bool)),A),c_HOL_Ouminus__class_Ouminus(A,tc_fun(B,tc_bool)))).
% 152.76/152.91 ** KEPT (pick-wt=27): 334 [] hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(A,tc_bool)),c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(B,C,D,A,E)),B))| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(E,tc_bool)),C),c_Set_Oimage(D,B,A,E))).
% 152.76/152.91 ** KEPT (pick-wt=19): 335 [] c_Finite__Set_Ofinite(A,B)| -hBOOL(hAPP(hAPP(c_lesse_quals(tc_fun(B,tc_bool)),A),c_Set_Oimage(C,D,E,B)))| -c_Finite__Set_Ofinite(D,E).
% 152.76/152.91
% 152.76/152.91 Search stopped in tp_alloc by max_mem option.
% 152.76/152.91
% 152.76/152.91 ============ end of search ============
% 152.76/152.91
% 152.76/152.91 -------------- statistics -------------
% 152.76/152.91 clauses given 0
% 152.76/152.91 clauses generated 0
% 152.76/152.91 clauses kept 325
% 152.76/152.91 clauses forward subsumed 44
% 152.76/152.91 clauses back subsumed 0
% 152.76/152.91 Kbytes malloced 11718
% 152.76/152.91
% 152.76/152.91 ----------- times (seconds) -----------
% 152.76/152.91 user CPU time 0.07 (0 hr, 0 min, 0 sec)
% 152.76/152.91 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 152.76/152.91 wall-clock time 152 (0 hr, 2 min, 32 sec)
% 152.76/152.91
% 152.76/152.91 Process 20907 finished Wed Jul 27 06:09:39 2022
% 152.76/152.91 Otter interrupted
% 152.76/152.91 PROOF NOT FOUND
%------------------------------------------------------------------------------