TSTP Solution File: SWV916-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV916-1 : 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 13:21:46 EDT 2022
% Result : Unknown 99.67s 99.87s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV916-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % 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 06:29:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 99.67/99.84 ----- Otter 3.3f, August 2004 -----
% 99.67/99.84 The process was started by sandbox on n019.cluster.edu,
% 99.67/99.84 Wed Jul 27 06:29:22 2022
% 99.67/99.84 The command was "./otter". The process ID is 11882.
% 99.67/99.84
% 99.67/99.84 set(prolog_style_variables).
% 99.67/99.84 set(auto).
% 99.67/99.84 dependent: set(auto1).
% 99.67/99.84 dependent: set(process_input).
% 99.67/99.84 dependent: clear(print_kept).
% 99.67/99.84 dependent: clear(print_new_demod).
% 99.67/99.84 dependent: clear(print_back_demod).
% 99.67/99.84 dependent: clear(print_back_sub).
% 99.67/99.84 dependent: set(control_memory).
% 99.67/99.84 dependent: assign(max_mem, 12000).
% 99.67/99.84 dependent: assign(pick_given_ratio, 4).
% 99.67/99.84 dependent: assign(stats_level, 1).
% 99.67/99.84 dependent: assign(max_seconds, 10800).
% 99.67/99.84 clear(print_given).
% 99.67/99.84
% 99.67/99.84 list(usable).
% 99.67/99.84 0 [] A=A.
% 99.67/99.84 0 [] c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a).
% 99.67/99.84 0 [] c_List_Omap(V_f,V_xs,T_b,T_a)!=c_List_Omap(V_g,V_xs,T_b,T_a)|hAPP(V_f,V_x)=hAPP(V_g,V_x)| -hBOOL(c_in(V_x,c_List_Oset(V_xs,T_b),T_b)).
% 99.67/99.84 0 [] hAPP(V_Inf,c_List_Oset(V_xs,T_a))=c_List_Ofoldl(V_inf,V_top,V_xs,T_a,T_a)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.84 0 [] hAPP(V_Sup,c_List_Oset(V_xs,T_a))=c_List_Ofoldl(V_sup,V_bot,V_xs,T_a,T_a)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.84 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_List_Oset(V_xs,T_a),T_a)=c_List_Ofoldl(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a),V_xs,T_a,T_a).
% 99.67/99.84 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 99.67/99.84 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)).
% 99.67/99.84 0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_lesse_quals(V_B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 99.67/99.84 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 99.67/99.84 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 99.67/99.84 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z),V_x,T_a)| -c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 99.67/99.84 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_z,T_a).
% 99.67/99.84 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 99.67/99.84 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 99.67/99.84 0 [] c_Complete__Lattice_Ocomplete__lattice(V_Sup,V_Inf,c_COMBC(V_less__e_q,T_a,T_a,tc_bool),c_COMBC(V_less,T_a,T_a,tc_bool),V_sup,V_inf,V_top,V_bot,T_a)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 99.67/99.84 0 [] c_Collect(hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),T_a),c_and),hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a)),T_a,tc_bool,tc_bool),V_P),T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(hAPP(V_P,V_a)).
% 99.67/99.84 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_List_Olist__all2(V_P,c_List_Omap(V_f,V_as,T_c,T_a),V_bs,T_a,T_b)| -c_List_Olist__all2(hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_bool),T_c),V_P),V_f),V_as,V_bs,T_c,T_b).
% 99.67/99.84 0 [] c_List_Olist__all2(hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_bool),T_c),V_P),V_f),V_as,V_bs,T_c,T_b)| -c_List_Olist__all2(V_P,c_List_Omap(V_f,V_as,T_c,T_a),V_bs,T_a,T_b).
% 99.67/99.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(hAPP(c_COMBC(c_fe_qual(tc_Com_Ostate),tc_Com_Ostate,tc_Com_Ostate,tc_bool),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c)),tc_fun(tc_Com_Ostate,tc_bool),t_a),V_c,c_COMBK(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),tc_fun(tc_Com_Ostate,tc_bool),t_a),t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool),t_a),c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and),hAPP(c_fe_qual(tc_Com_Ostate),v_sko__Hoare__Mirabelle__Xexport__s__1(V_G,V_P,V_Q,V_c))),tc_Com_Ostate,tc_bool,tc_bool)),V_P),V_c,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.84 0 [] c_Hoare__Mirabelle_Ohoare__valids(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OWhile(V_b,V_c),c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),T_a),tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__valids(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_P,T_a),tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 99.67/99.84 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_List_Oset(V_xs,T_b),V_f,T_b,T_a)=c_List_Ofoldl(c_COMBC(hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Lattices_Oupper__semilattice__class_Osup(T_a)),V_f),T_b,T_a,T_a),c_Orderings_Obot__class_Obot(T_a),V_xs,T_a,T_b).
% 99.67/99.84 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 99.67/99.84 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)).
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)).
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 99.67/99.84 0 [] c_List_Omap(V_f,c_List_Omap(V_g,V_xs,T_c,T_b),T_b,T_a)=c_List_Omap(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_xs,T_c,T_a).
% 99.67/99.84 0 [] c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_s2)| -c_Natural_Oevalc(V_c1,V_s1,V_s2)| -c_Natural_Oevalc(V_c0,V_s0,V_s1).
% 99.67/99.84 0 [] -hBOOL(hAPP(V_b,V_s))|c_Natural_Oevalc(V_c1,V_s,V_t)| -c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t).
% 99.67/99.84 0 [] c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_s1)| -c_Natural_Oevalc(V_c0,V_s,V_s1)| -hBOOL(hAPP(V_b,V_s)).
% 99.67/99.84 0 [] V_xs=V_ys| -c_List_Olist__all2(c_fe_qual(T_a),V_xs,V_ys,T_a,T_a).
% 99.67/99.84 0 [] c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2)| -c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2)| -c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1).
% 99.67/99.84 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.
% 99.67/99.84 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.
% 99.67/99.84 0 [] c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s0,V_s2)| -c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s1,V_s2)| -c_Natural_Oevalc(V_c,V_s0,V_s1)| -hBOOL(hAPP(V_b,V_s0)).
% 99.67/99.84 0 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s0,V_n,V_s2)| -c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s1,V_n,V_s2)| -c_Natural_Oevaln(V_c,V_s0,V_n,V_s1)| -hBOOL(hAPP(V_b,V_s0)).
% 99.67/99.84 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)).
% 99.67/99.84 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OBODY(V_pname_H).
% 99.67/99.84 0 [] hAPP(hAPP(c_COMBS(V_P,T_b,T_c,T_a),V_Q),V_R)=hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)).
% 99.67/99.84 0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 99.67/99.84 0 [] c_COMBI(V_P,T_a)=V_P.
% 99.67/99.84 0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(c_in(V_x,V_S,T_a)).
% 99.67/99.84 0 [] hBOOL(c_in(V_x,V_S,T_a))| -hBOOL(hAPP(V_S,V_x)).
% 99.67/99.84 0 [] c_HOL_Ominus__class_Ominus(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 99.67/99.84 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A)),V_B),T_b,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] -hBOOL(hAPP(V_b,V_s))|c_Natural_Oevaln(V_c1,V_s,V_n,V_t)| -c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t).
% 99.67/99.84 0 [] c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_n,V_s1)| -c_Natural_Oevaln(V_c0,V_s,V_n,V_s1)| -hBOOL(hAPP(V_b,V_s)).
% 99.67/99.84 0 [] c_Com_Ovname_Ovname__rec(V_f1,V_f2,c_Com_Ovname_OGlb(V_glb),T_a)=hAPP(V_f1,V_glb).
% 99.67/99.84 0 [] hAPP(V_uminus,V_x)!=hAPP(V_uminus,V_y)| -c_Lattices_Oboolean__algebra(V_minus,V_uminus,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a)|V_x=V_y.
% 99.67/99.84 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_x)=V_x.
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A)=V_A.
% 99.67/99.84 0 [] c_Com_Ovname_Ovname__case(V_f1,V_f2,c_Com_Ovname_OGlb(V_glb),T_a)=hAPP(V_f1,V_glb).
% 99.67/99.84 0 [] -class_Lattices_Olattice(T_b)|hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,T_b)),V_f),V_g),v_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)).
% 99.67/99.84 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 99.67/99.84 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,hAPP(c_Set_Oinsert(V_x,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,hAPP(c_Set_Oinsert(V_x,T_a),V_B),tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_lesse_quals(V_A,hAPP(c_Set_Oinsert(V_x,T_a),V_B),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,hAPP(c_Set_Oinsert(V_x,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_lesse_quals(V_A,hAPP(c_Set_Oinsert(V_x,T_a),V_B),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,hAPP(c_Set_Oinsert(V_x,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_s)|hBOOL(hAPP(V_b,V_s)).
% 99.67/99.84 0 [] c_Finite__Set_Ofold1(V_f,V_A,T_a)=c_The(c_Finite__Set_Ofold1Set(V_f,V_A,T_a),T_a).
% 99.67/99.84 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|c_lesse_quals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b)| -hBOOL(c_in(V_i,V_A,T_a)).
% 99.67/99.84 0 [] c_lesse_quals(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_a,V_A,T_a)).
% 99.67/99.84 0 [] c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(V_x,T_a),V_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)).
% 99.67/99.84 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 99.67/99.84 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 99.67/99.84 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSKIP.
% 99.67/99.84 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_bool),tc_fun(T_b,tc_bool),T_a),c_Set_Oinsert(V_a,T_b)),V_B),T_a,tc_fun(T_b,tc_bool))=hAPP(c_Set_Oinsert(V_a,T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)))| -hBOOL(c_in(V_u,V_A,T_a)).
% 99.67/99.84 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OWhile(V_fun,V_com).
% 99.67/99.84 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 99.67/99.84 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 99.67/99.84 0 [] c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_s)|hBOOL(hAPP(V_b,V_s)).
% 99.67/99.84 0 [] V_t=hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s),V_X),hAPP(V_a,V_s))| -c_Natural_Oevaln(c_Com_Ocom_OAss(V_X,V_a),V_s,V_n,V_t).
% 99.67/99.84 0 [] c_Collect(V_P,T_a)=V_P.
% 99.67/99.84 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OBODY(V_pname_H).
% 99.67/99.84 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com2=V_com2_H.
% 99.67/99.84 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com1=V_com1_H.
% 99.67/99.84 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 99.67/99.84 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(hAPP(c_Set_Oinsert(V_a,T_a),V_A),T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),c_Complete__Lattice_OSup__class_OSup(V_A,T_a)).
% 99.67/99.84 0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 99.67/99.84 0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 99.67/99.84 0 [] c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 99.67/99.84 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hAPP(V_B,V_x)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_b)).
% 99.67/99.84 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 99.67/99.84 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 99.67/99.84 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)).
% 99.67/99.84 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OLocal(V_loc,V_fun,V_com).
% 99.67/99.84 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)).
% 99.67/99.84 0 [] c_lesse_quals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_I,T_b))| -c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] hAPP(c_Fun_Ocomp(c_COMBK(V_c,T_b,T_c),V_f,T_c,T_b,t_a),v_x)=V_c.
% 99.67/99.84 0 [] c_The(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a)=V_a.
% 99.67/99.84 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),hAPP(V_A,V_k)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_k,V_I,T_a)).
% 99.67/99.84 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)|V_com2=V_com2_H.
% 99.67/99.84 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)|V_com1=V_com1_H.
% 99.67/99.84 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)|V_fun=V_fun_H.
% 99.67/99.84 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_c,V_a,T_a).
% 99.67/99.84 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_c,V_a,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x)=hAPP(V_f,hAPP(V_g,V_x)).
% 99.67/99.84 0 [] hAPP(V_a,hAPP(V_b,V_v))=hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v).
% 99.67/99.84 0 [] c_Collect(hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),T_a),c_and),hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a)),T_a,tc_bool,tc_bool),V_P),T_a)=hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))| -hBOOL(hAPP(V_P,V_a)).
% 99.67/99.84 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 99.67/99.84 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))|c_lesse_quals(V_a,V_b,T_a).
% 99.67/99.84 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H).
% 99.67/99.84 0 [] hBOOL(hAPP(V_B,V_x))|hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)).
% 99.67/99.84 0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))| -hBOOL(hAPP(V_B,V_x)).
% 99.67/99.84 0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 99.67/99.84 0 [] hBOOL(c_in(V_c,V_B,T_a))|hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)).
% 99.67/99.84 0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OBODY(V_pname_H).
% 99.67/99.84 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 99.67/99.84 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 99.67/99.84 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))|hAPP(V_B,V_x)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_b)).
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool))),V_B)=V_B.
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)))=V_A.
% 99.67/99.84 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 99.67/99.84 0 [] c_Com_Ovname_OGlb(V_glb)!=c_Com_Ovname_OGlb(V_glb_H)|V_glb=V_glb_H.
% 99.67/99.84 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 99.67/99.84 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H).
% 99.67/99.84 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_D,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_Natural_Oevaln(V_c2,V_s,V_n,V_t)|hBOOL(hAPP(V_b,V_s))| -c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t).
% 99.67/99.84 0 [] c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_n,V_s1)| -c_Natural_Oevaln(V_c1,V_s,V_n,V_s1)|hBOOL(hAPP(V_b,V_s)).
% 99.67/99.84 0 [] c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_s).
% 99.67/99.84 0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 99.67/99.84 0 [] c_Collect(hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),T_a),c_or),V_P),T_a,tc_bool,tc_bool),V_Q),T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Collect(V_P,T_a)),c_Collect(V_Q,T_a)).
% 99.67/99.84 0 [] hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))| -hBOOL(hAPP(V_P,V_a)).
% 99.67/99.84 0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)).
% 99.67/99.84 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OBODY(V_pname_H).
% 99.67/99.84 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)).
% 99.67/99.84 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)).
% 99.67/99.84 0 [] hBOOL(c_in(V_x,V_B,T_a))| -c_lesse_quals(hAPP(c_Set_Oinsert(V_x,T_a),V_A),V_B,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=V_c|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 99.67/99.84 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b)=V_M|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_lesse_quals(V_A,hAPP(c_Set_Oinsert(V_x,T_a),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 99.67/99.84 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,hAPP(c_Set_Oinsert(V_x,T_a),V_B),tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_lesse_quals(V_A,hAPP(c_Set_Oinsert(V_x,T_a),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 99.67/99.84 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,hAPP(c_Set_Oinsert(V_x,T_a),V_B),tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 99.67/99.84 0 [] hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a))| -hBOOL(c_in(V_x,V_A,T_b)).
% 99.67/99.84 0 [] hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b))| -hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b))| -hBOOL(c_in(V_a,V_A,T_a)).
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))),V_A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A).
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B).
% 99.67/99.84 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 99.67/99.84 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).
% 99.67/99.84 0 [] V_t=hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s),V_X),hAPP(V_a,V_s))| -c_Natural_Oevalc(c_Com_Ocom_OAss(V_X,V_a),V_s,V_t).
% 99.67/99.84 0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))).
% 99.67/99.84 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 99.67/99.84 0 [] hAPP(c_Set_Oinsert(V_a,T_a),V_B)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Collect(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a)),V_B).
% 99.67/99.84 0 [] hBOOL(hAPP(hAPP(V_less__e_q,hAPP(V_Inf,V_A)),V_x))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.84 0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_x),hAPP(V_Sup,V_A)))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A).
% 99.67/99.84 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x).
% 99.67/99.84 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x).
% 99.67/99.84 0 [] c_Com_Ocom_OBODY(V_pname)!=c_Com_Ocom_OBODY(V_pname_H)|V_pname=V_pname_H.
% 99.67/99.84 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_fun=V_fun_H.
% 99.67/99.84 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_com=V_com_H.
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B).
% 99.67/99.84 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y).
% 99.67/99.84 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y).
% 99.67/99.84 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 99.67/99.84 0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))| -hBOOL(hAPP(hAPP(V_B,V_x),V_b))| -hBOOL(c_in(V_x,V_A,T_a)).
% 99.67/99.84 0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))| -hBOOL(hAPP(hAPP(V_B,V_a),V_b))| -hBOOL(c_in(V_a,V_A,T_a)).
% 99.67/99.84 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 99.67/99.84 0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 99.67/99.84 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OBODY(V_pname_H).
% 99.67/99.84 0 [] c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(V_x,T_a),V_A),V_B,tc_fun(T_a,tc_bool))=hAPP(c_Set_Oinsert(V_x,T_a),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))|hBOOL(c_in(V_x,V_B,T_a)).
% 99.67/99.84 0 [] V_t=V_s| -c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t).
% 99.67/99.84 0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] V_t=V_s| -c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_t).
% 99.67/99.84 0 [] c_Natural_Oevalc(V_c,V_s,V_t)| -c_Natural_Oevaln(V_c,V_s,V_n,V_t).
% 99.67/99.84 0 [] c_Natural_Oevalc(V_c,V_s,V_t)| -c_Natural_Oevaln(V_c,V_s,V_x,V_t).
% 99.67/99.84 0 [] -class_HOL_Oord(T_b)|c_lesse_quals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)| -c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b)).
% 99.67/99.84 0 [] c_Natural_Oevaln(V_c,hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s),c_Com_Ovname_OLoc(V_Y)),hAPP(V_a,V_s)),V_n,c_Natural_Osko__Natural__Xevaln__elim__cases__3__1(V_Y,V_a,V_c,V_n,V_s,V_t))| -c_Natural_Oevaln(c_Com_Ocom_OLocal(V_Y,V_a,V_c),V_s,V_n,V_t).
% 99.67/99.84 0 [] c_Natural_Oevalc(V_c,hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s),c_Com_Ovname_OLoc(V_Y)),hAPP(V_a,V_s)),c_Natural_Osko__Natural__Xevalc__elim__cases__3__1(V_Y,V_a,V_c,V_s,V_t))| -c_Natural_Oevalc(c_Com_Ocom_OLocal(V_Y,V_a,V_c),V_s,V_t).
% 99.67/99.84 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)=V_x.
% 99.67/99.84 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a))=V_x.
% 99.67/99.84 0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 99.67/99.84 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B)!=c_Orderings_Obot__class_Obot(T_a)|V_A=c_Orderings_Obot__class_Obot(T_a).
% 99.67/99.84 0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B)!=c_Orderings_Obot__class_Obot(T_a)|V_B=c_Orderings_Obot__class_Obot(T_a).
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_top| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.84 0 [] hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_bot| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.84 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Collect(V_P,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 99.67/99.84 0 [] -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 99.67/99.84 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)).
% 99.67/99.84 0 [] -hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 99.67/99.84 0 [] -hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 99.67/99.84 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_Collect(V_P,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 99.67/99.84 0 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)).
% 99.67/99.84 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)).
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_A.
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B)=V_B.
% 99.67/99.84 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)).
% 99.67/99.84 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.
% 99.67/99.84 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 99.67/99.84 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)).
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_B=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_Collect(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a)=hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 99.67/99.84 0 [] hAPP(c_Set_Oinsert(V_a,T_a),c_HOL_Ominus__class_Ominus(V_A,hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)))=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 99.67/99.84 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),c_Set_Oinsert(V_a,T_a)),V_B),T_b,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),c_Set_Oinsert(V_a,T_a)),V_B),T_b,tc_fun(T_a,tc_bool))=hAPP(c_Set_Oinsert(V_a,T_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))|V_C=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 99.67/99.84 0 [] hAPP(c_Set_Oinsert(V_a,T_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),c_Set_Oinsert(V_a,T_a)),V_B),T_b,tc_fun(T_a,tc_bool))|V_C=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 99.67/99.84 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(hAPP(c_Set_Oinsert(V_a,T_a),hAPP(c_Set_Oinsert(V_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b).
% 99.67/99.84 0 [] c_lesse_quals(V_A,hAPP(c_Set_Oinsert(V_x,T_a),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,hAPP(c_Set_Oinsert(V_x,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(V_x,T_a),V_A),hAPP(c_Set_Oinsert(V_x,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool))=V_A|hBOOL(c_in(V_x,V_A,T_a)).
% 99.67/99.84 0 [] c_lesse_quals(hAPP(c_Set_Oinsert(V_a,T_a),V_C),hAPP(c_Set_Oinsert(V_a,T_a),V_D),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_D,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] hBOOL(c_in(V_a,hAPP(c_Set_Oinsert(V_b,T_a),V_A),T_a))| -hBOOL(c_in(V_a,V_A,T_a)).
% 99.67/99.84 0 [] hBOOL(c_in(V_a,hAPP(c_Set_Oinsert(V_b,T_a),V_B),T_a))| -hBOOL(c_in(V_a,V_B,T_a)).
% 99.67/99.84 0 [] hAPP(V_Inf,hAPP(c_Set_Oinsert(V_a,T_a),V_A))=hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.84 0 [] hAPP(V_Sup,hAPP(c_Set_Oinsert(V_a,T_a),V_A))=hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.84 0 [] hBOOL(c_in(V_a,V_A,T_a))|V_a=V_b| -hBOOL(c_in(V_a,hAPP(c_Set_Oinsert(V_b,T_a),V_A),T_a)).
% 99.67/99.84 0 [] c_lesse_quals(V_B,hAPP(c_Set_Oinsert(V_a,T_a),V_B),tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(c_Set_Oinsert(V_a,T_a),V_B))=hAPP(c_Set_Oinsert(V_a,T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(c_Set_Oinsert(V_a,T_a),V_B)),V_C)=hAPP(c_Set_Oinsert(V_a,T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)).
% 99.67/99.84 0 [] c_lesse_quals(V_A,hAPP(c_Set_Oinsert(V_b,T_a),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(hAPP(c_Set_Oinsert(V_x,T_a),V_A),V_B,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] hBOOL(c_in(V_x,hAPP(c_Set_Oinsert(V_x,T_a),V_A),T_a)).
% 99.67/99.84 0 [] hBOOL(c_in(V_a,hAPP(c_Set_Oinsert(V_a,T_a),V_B),T_a)).
% 99.67/99.84 0 [] hBOOL(c_in(V_x,hAPP(c_Set_Oinsert(V_x,T_a),V_B),T_a)).
% 99.67/99.84 0 [] hAPP(c_Set_Oinsert(V_x,T_a),V_A)!=hAPP(c_Set_Oinsert(V_x,T_a),V_B)|hBOOL(c_in(V_x,V_B,T_a))|hBOOL(c_in(V_x,V_A,T_a))|V_A=V_B.
% 99.67/99.84 0 [] hAPP(c_Set_Oinsert(V_a,T_a),V_A)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 99.67/99.84 0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] V_u=V_t| -c_Natural_Oevalc(V_c,V_s,V_u)| -c_Natural_Oevalc(V_c,V_s,V_t).
% 99.67/99.84 0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 99.67/99.84 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 99.67/99.84 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 99.67/99.84 0 [] c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)!=c_Com_Ocom_OSKIP.
% 99.67/99.84 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=V_x| -c_lesse_quals(V_y,V_x,T_a).
% 99.67/99.84 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)!=V_y|c_lesse_quals(V_x,V_y,T_a).
% 99.67/99.84 0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=V_A| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=V_B|c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s).
% 99.67/99.84 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A)),V_B),T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))|V_C=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 99.67/99.84 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_Collect(c_COMBK(c_False,tc_bool,T_a),T_a).
% 99.67/99.84 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).
% 99.67/99.84 0 [] c_Natural_Oevalc(V_c2,V_s,V_t)|hBOOL(hAPP(V_b,V_s))| -c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t).
% 99.67/99.84 0 [] c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1),V_s,V_s1)| -c_Natural_Oevalc(V_c1,V_s,V_s1)|hBOOL(hAPP(V_b,V_s)).
% 99.67/99.84 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OAss(V_vname_H,V_fun_H).
% 99.67/99.84 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oinsert(V_a,T_b),V_A),V_B,T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(V_B,V_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))).
% 99.67/99.84 0 [] c_Collect(hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),T_a),c_and),hAPP(c_fe_qual(T_a),V_a)),T_a,tc_bool,tc_bool),V_P),T_a)=hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))| -hBOOL(hAPP(V_P,V_a)).
% 99.67/99.84 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OAss(V_vname,V_fun).
% 99.67/99.84 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a)| -hBOOL(c_in(V_x,V_A,T_a)).
% 99.67/99.84 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)|c_lesse_quals(V_a,V_b,T_a).
% 99.67/99.84 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 99.67/99.84 0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_D),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a)=c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a).
% 99.67/99.84 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OAss(V_vname_H,V_fun_H)|V_fun=V_fun_H.
% 99.67/99.84 0 [] c_Com_Ocom_OAss(V_vname,V_fun)!=c_Com_Ocom_OAss(V_vname_H,V_fun_H)|V_vname=V_vname_H.
% 99.67/99.84 0 [] c_Natural_Oevaln(c_Com_Ocom_OAss(V_X,V_a),V_s,V_n,hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s),V_X),hAPP(V_a,V_s))).
% 99.67/99.84 0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 99.67/99.84 0 [] hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x)=hAPP(V_f,hAPP(V_g,v_x)).
% 99.67/99.84 0 [] c_lesse_quals(hAPP(c_Set_Oinsert(V_x,T_a),V_A),V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a)).
% 99.67/99.84 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)|V_com=V_com_H.
% 99.67/99.84 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)|V_fun=V_fun_H.
% 99.67/99.84 0 [] c_Com_Ocom_OLocal(V_loc,V_fun,V_com)!=c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)|V_loc=V_loc_H.
% 99.67/99.84 0 [] -hBOOL(hAPP(V_P,c_Com_Ovname_Ovname__case(V_f1,V_f2,c_Com_Ovname_OGlb(V_glb),t_a)))|hBOOL(hAPP(V_P,hAPP(V_f1,V_glb))).
% 99.67/99.84 0 [] -hBOOL(hAPP(V_P,c_Com_Ovname_Ovname__case(V_f1,V_f2,c_Com_Ovname_OGlb(V_xb),t_a)))|hBOOL(hAPP(V_P,hAPP(V_f1,V_xb))).
% 99.67/99.84 0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 99.67/99.84 0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_B,T_a)).
% 99.67/99.84 0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 99.67/99.84 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] hBOOL(hAPP(V_b,V_s))|V_t=V_s| -c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_t).
% 99.67/99.84 0 [] c_Natural_Oevalc(c_Com_Ocom_OAss(V_X,V_a),V_s,hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s),V_X),hAPP(V_a,V_s))).
% 99.67/99.84 0 [] c_Collect(hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),T_a),c_and),hAPP(c_fe_qual(T_a),V_a)),T_a,tc_bool,tc_bool),V_P),T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(hAPP(V_P,V_a)).
% 99.67/99.84 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a).
% 99.67/99.84 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a).
% 99.67/99.84 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)| -c_lesse_quals(V_x,V_b,T_a).
% 99.67/99.84 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 99.67/99.84 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a).
% 99.67/99.84 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_a,V_x,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a).
% 99.67/99.84 0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] hAPP(hAPP(V_sup,V_x),hAPP(V_uminus,V_x))=V_top| -c_Lattices_Oboolean__algebra(V_minus,V_uminus,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.84 0 [] hAPP(hAPP(V_inf,V_x),hAPP(V_uminus,V_x))=V_bot| -c_Lattices_Oboolean__algebra(V_minus,V_uminus,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.84 0 [] hAPP(hAPP(V_sup,hAPP(V_uminus,V_x)),V_x)=V_top| -c_Lattices_Oboolean__algebra(V_minus,V_uminus,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.84 0 [] hAPP(hAPP(V_inf,hAPP(V_uminus,V_x)),V_x)=V_bot| -c_Lattices_Oboolean__algebra(V_minus,V_uminus,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.84 0 [] hAPP(V_uminus,hAPP(V_uminus,V_x))=V_x| -c_Lattices_Oboolean__algebra(V_minus,V_uminus,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.84 0 [] -c_Lattices_Oboolean__algebra(V_minus,V_uminus,V_less__e_q,V_less,V_inf,V_sup,hAPP(hAPP(V_inf,V_x),V_y),hAPP(hAPP(V_sup,V_x),V_y),T_a)|hAPP(V_uminus,V_x)=V_y.
% 99.67/99.84 0 [] hAPP(V_uminus,V_top)=V_bot| -c_Lattices_Oboolean__algebra(V_minus,V_uminus,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.84 0 [] hAPP(V_uminus,V_bot)=V_top| -c_Lattices_Oboolean__algebra(V_minus,V_uminus,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.84 0 [] hAPP(hAPP(V_minus,V_x),V_y)=hAPP(hAPP(V_inf,V_x),hAPP(V_uminus,V_y))| -c_Lattices_Oboolean__algebra(V_minus,V_uminus,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.84 0 [] hAPP(V_uminus,hAPP(hAPP(V_inf,V_x),V_y))=hAPP(hAPP(V_sup,hAPP(V_uminus,V_x)),hAPP(V_uminus,V_y))| -c_Lattices_Oboolean__algebra(V_minus,V_uminus,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.84 0 [] hAPP(V_uminus,hAPP(hAPP(V_sup,V_x),V_y))=hAPP(hAPP(V_inf,hAPP(V_uminus,V_x)),hAPP(V_uminus,V_y))| -c_Lattices_Oboolean__algebra(V_minus,V_uminus,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.84 0 [] c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_P),tc_Com_Ocom),V_s,V_s1)| -c_Natural_Oevalc(c_Com_Ocom_OBODY(V_P),V_s,V_s1).
% 99.67/99.84 0 [] c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1)| -c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1).
% 99.67/99.84 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 99.67/99.84 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 99.67/99.84 0 [] hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] hBOOL(c_in(V_x,V_B,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a)).
% 99.67/99.84 0 [] hBOOL(c_in(V_t,V_B,T_a))| -hBOOL(c_in(V_t,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] hBOOL(hAPP(V_Q,V_x))| -hBOOL(hAPP(V_P,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 99.67/99.84 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 99.67/99.84 0 [] hBOOL(hAPP(V_Q,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 99.67/99.84 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_lesse_quals(V_a,V_b,T_a).
% 99.67/99.84 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_a,V_b,T_a).
% 99.67/99.84 0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OBODY(V_pname_H).
% 99.67/99.84 0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OSKIP.
% 99.67/99.84 0 [] c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a)!=c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a)|hAPP(V_a,hAPP(V_b,V_v))=hAPP(V_c,hAPP(V_d,V_v)).
% 99.67/99.84 0 [] hAPP(V_f,hAPP(V_g,V_x))!=hAPP(V_f_H,hAPP(V_g_H,V_x_H))|hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x)=hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H).
% 99.67/99.84 0 [] hBOOL(hAPP(V_b,V_s))|V_t=V_s| -c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b,V_c),V_s,V_n,V_t).
% 99.67/99.84 0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),V_M,T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool))).
% 99.67/99.84 0 [] c_The(hAPP(c_fe_qual(T_a),V_x),T_a)=V_x.
% 99.67/99.84 0 [] c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 99.67/99.84 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y_H,V_x_H,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 99.67/99.84 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_y_H,V_x_H,T_a).
% 99.67/99.84 0 [] c_Com_Ocom_OAss(V_vname_H,V_fun_H)!=c_Com_Ocom_OSKIP.
% 99.67/99.84 0 [] c_List_Olist__all2(c_fe_qual(T_a),V_x,V_x,T_a,T_a).
% 99.67/99.84 0 [] c_Natural_Oevaln(V_c2,V_s,V_n,V_t)|c_Natural_Oevaln(V_c1,V_s,V_n,V_t)| -c_Natural_Oevaln(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_n,V_t).
% 99.67/99.84 0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,V_B,T_b,tc_fun(T_a,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_C,hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_bool),tc_fun(T_a,tc_bool),T_b),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A)),V_B),T_b,tc_fun(T_a,tc_bool))|V_C=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 99.67/99.84 0 [] c_Natural_Oevalc(V_c2,V_s,V_t)|c_Natural_Oevalc(V_c1,V_s,V_t)| -c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2),V_s,V_t).
% 99.67/99.84 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)| -hBOOL(c_in(V_x,V_A,T_a)).
% 99.67/99.84 0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 99.67/99.84 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 99.67/99.84 0 [] c_COMBI(v_P,t_a)=v_P.
% 99.67/99.84 0 [] c_Com_Ovname_OLoc(V_loc_H)!=c_Com_Ovname_OGlb(V_glb).
% 99.67/99.84 0 [] c_Com_Ovname_OGlb(V_glb)!=c_Com_Ovname_OLoc(V_loc_H).
% 99.67/99.84 0 [] c_Com_Ovname_Ovname__case(V_f1,V_f2,c_Com_Ovname_OLoc(V_loc),T_a)=hAPP(V_f2,V_loc).
% 99.67/99.84 0 [] c_Com_Ovname_Ovname__rec(V_f1,V_f2,c_Com_Ovname_OLoc(V_loc),T_a)=hAPP(V_f2,V_loc).
% 99.67/99.84 0 [] -hBOOL(hAPP(V_P,c_Com_Ovname_Ovname__case(V_f1,V_f2,c_Com_Ovname_OLoc(V_xa),t_a)))|hBOOL(hAPP(V_P,hAPP(V_f2,V_xa))).
% 99.67/99.84 0 [] -hBOOL(hAPP(V_P,c_Com_Ovname_Ovname__case(V_f1,V_f2,c_Com_Ovname_OLoc(V_loc),t_a)))|hBOOL(hAPP(V_P,hAPP(V_f2,V_loc))).
% 99.67/99.84 0 [] hAPP(hAPP(c_COMBS(v_P,t_a,t_b,t_c),v_Q),v_R)=hAPP(hAPP(v_P,v_R),hAPP(v_Q,v_R)).
% 99.67/99.84 0 [] V_t=hAPP(hAPP(hAPP(c_Natural_Oupdate,c_Natural_Osko__Natural__Xevalc__elim__cases__3__1(V_Y,V_a,V_c,V_s,V_t)),c_Com_Ovname_OLoc(V_Y)),c_Natural_Ogetlocs(V_s,V_Y))| -c_Natural_Oevalc(c_Com_Ocom_OLocal(V_Y,V_a,V_c),V_s,V_t).
% 99.67/99.84 0 [] V_t=hAPP(hAPP(hAPP(c_Natural_Oupdate,c_Natural_Osko__Natural__Xevaln__elim__cases__3__1(V_Y,V_a,V_c,V_n,V_s,V_t)),c_Com_Ovname_OLoc(V_Y)),c_Natural_Ogetlocs(V_s,V_Y))| -c_Natural_Oevaln(c_Com_Ocom_OLocal(V_Y,V_a,V_c),V_s,V_n,V_t).
% 99.67/99.84 0 [] hAPP(V_g,hAPP(V_h,c_List_Osko__List__Xfoldl__apply__inv__1__1(V_g,V_h,T_b,T_a)))!=c_List_Osko__List__Xfoldl__apply__inv__1__1(V_g,V_h,T_b,T_a)|c_List_Ofoldl(V_f,hAPP(V_g,V_s),V_xs,T_a,T_c)=hAPP(V_g,c_List_Ofoldl(hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(T_c,T_b),T_b),hAPP(c_COMBB(T_a,T_b,T_c),V_h)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_c,T_a),T_b),V_f),V_g)),V_s,V_xs,T_b,T_c)).
% 99.67/99.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OWhile(V_b,V_c),c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),T_a),tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_P,T_a),tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 99.67/99.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,c_COMBK(c_COMBK(c_True,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),T_a),T_a),tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 99.67/99.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__SkipI__1(V_P,V_Q)),v_sko__Hoare__Mirabelle__Xhoare__SkipI__2(V_P,V_Q))).
% 99.67/99.84 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),T_a),V_c,V_Q,T_a),tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a),tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a),tc_Hoare__Mirabelle_Otriple(T_a)),V_G),hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_Q,T_a),tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__SkipI__1(V_P,V_Q)),v_sko__Hoare__Mirabelle__Xhoare__SkipI__2(V_P,V_Q))).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a),tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_Q,T_a),tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OCond(V_b,V_c,V_d),V_Q,T_a),tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),V_d,V_Q,T_a),tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_Q,T_a),tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 99.67/99.85 0 [] c_List_Ofoldl(V_g,V_a,c_List_Omap(V_f,V_xs,T_c,T_b),T_a,T_b)=c_List_Ofoldl(hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,T_a)),T_a),c_COMBB(T_b,T_a,T_c)),V_g),T_a,tc_fun(T_c,T_b),tc_fun(T_c,T_a)),V_f),V_a,V_xs,T_a,T_c).
% 99.67/99.85 0 [] c_Lattices_Oboolean__algebra(hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(T_a,T_a),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,T_a)),T_a),c_COMBB(T_a,T_a,T_a)),V_sup),T_a,tc_fun(T_a,T_a),tc_fun(T_a,T_a)),V_uminus),V_uminus,c_COMBC(V_less__e_q,T_a,T_a,tc_bool),c_COMBC(V_less,T_a,T_a,tc_bool),V_sup,V_inf,V_top,V_bot,T_a)| -c_Lattices_Oboolean__algebra(V_minus,V_uminus,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.85 0 [] c_List_Olist__all2(V_P,V_as,c_List_Omap(V_f,V_bs,T_c,T_b),T_a,T_b)| -c_List_Olist__all2(hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_bool),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,tc_bool)),T_a),c_COMBB(T_b,tc_bool,T_c)),V_P),T_a,tc_fun(T_c,T_b),tc_fun(T_c,tc_bool)),V_f),V_as,V_bs,T_a,T_c).
% 99.67/99.85 0 [] c_List_Olist__all2(hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_bool),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,tc_bool)),T_a),c_COMBB(T_b,tc_bool,T_c)),V_P),T_a,tc_fun(T_c,T_b),tc_fun(T_c,tc_bool)),V_f),V_as,V_bs,T_a,T_c)| -c_List_Olist__all2(V_P,V_as,c_List_Omap(V_f,V_bs,T_c,T_b),T_a,T_b).
% 99.67/99.85 0 [] c_Natural_Oevalc(c_Com_Ocom_OLocal(V_Y,V_a,V_c),V_s0,hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s1),c_Com_Ovname_OLoc(V_Y)),c_Natural_Ogetlocs(V_s0,V_Y)))| -c_Natural_Oevalc(V_c,hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s0),c_Com_Ovname_OLoc(V_Y)),hAPP(V_a,V_s0)),V_s1).
% 99.67/99.85 0 [] c_Natural_Oevaln(c_Com_Ocom_OLocal(V_Y,V_a,V_c),V_s0,V_n,hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s1),c_Com_Ovname_OLoc(V_Y)),c_Natural_Ogetlocs(V_s0,V_Y)))| -c_Natural_Oevaln(V_c,hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s0),c_Com_Ovname_OLoc(V_Y)),hAPP(V_a,V_s0)),V_n,V_s1).
% 99.67/99.85 0 [] -class_Orderings_Obot(T_b)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x)=c_Orderings_Obot__class_Obot(T_b).
% 99.67/99.85 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 99.67/99.85 0 [] c_Collect(hAPP(c_fe_qual(T_a),V_a),T_a)=hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 99.67/99.85 0 [] V_A=hAPP(c_Set_Oinsert(V_x,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,hAPP(c_Set_Oinsert(V_x,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)).
% 99.67/99.85 0 [] hBOOL(c_in(V_x,hAPP(c_Set_Oinsert(V_x,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)).
% 99.67/99.85 0 [] hAPP(V_Inf,hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.85 0 [] hAPP(V_Sup,hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.85 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 99.67/99.85 0 [] hBOOL(hAPP(hAPP(c_Set_Oinsert(V_x,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(c_Set_Oinsert(V_x,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a))).
% 99.67/99.85 0 [] hAPP(c_Set_Oinsert(V_a,T_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)))=hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 99.67/99.85 0 [] hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,hAPP(c_Set_Oinsert(V_x,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a),V_x)).
% 99.67/99.85 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMin(hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 99.67/99.85 0 [] c_The(hAPP(c_Set_Oinsert(V_x,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_x.
% 99.67/99.85 0 [] hAPP(V_Inf,hAPP(c_Set_Oinsert(V_a,T_a),hAPP(c_Set_Oinsert(V_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))))=hAPP(hAPP(V_inf,V_a),V_b)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.85 0 [] hAPP(V_Sup,hAPP(c_Set_Oinsert(V_a,T_a),hAPP(c_Set_Oinsert(V_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))))=hAPP(hAPP(V_sup,V_a),V_b)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 99.67/99.85 0 [] c_HOL_Ominus__class_Ominus(V_A,hAPP(c_Set_Oinsert(V_a,T_a),V_B),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 99.67/99.85 0 [] c_HOL_Ominus__class_Ominus(V_A,hAPP(c_Set_Oinsert(V_a,T_a),V_B),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)),hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)).
% 99.67/99.85 0 [] V_a=V_b| -hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a),V_b)).
% 99.67/99.85 0 [] c_Set_Ocontents(hAPP(c_Set_Oinsert(V_x,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_x.
% 99.67/99.85 0 [] V_y=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(c_Set_Oinsert(V_x,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)| -hBOOL(hAPP(hAPP(c_Set_Oinsert(V_x,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_y)).
% 99.67/99.85 0 [] V_b=V_a| -hBOOL(c_in(V_b,hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)).
% 99.67/99.85 0 [] c_Finite__Set_Ofold1(V_f,hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 99.67/99.85 0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMax(hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 99.67/99.85 0 [] hAPP(c_Set_Oinsert(V_a,T_a),c_HOL_Ominus__class_Ominus(V_A,hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)))=hAPP(c_Set_Oinsert(V_a,T_a),V_A).
% 99.67/99.85 0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a)=hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 99.67/99.85 0 [] hAPP(c_Set_Oinsert(V_x,T_a),V_xa)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_xa,T_a)).
% 99.67/99.85 0 [] hAPP(c_Set_Oinsert(V_a,T_a),V_A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),V_A).
% 99.67/99.85 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(V_G,V_P,V_Q,V_c)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_Q_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconse_q12__3(V_P,V_P_H,V_Q,V_Q_H)))| -hBOOL(hAPP(hAPP(V_P_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconse_q12__2(V_P,V_P_H,V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c))).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(V_G,V_P,V_Q,V_c))).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_Q_H,v_sko__Hoare__Mirabelle__Xconse_q2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q2__2(V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q_H,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconse_q12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q12__2(V_P,V_P_H,V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconse_q1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconse_q1__2(V_P,V_P_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_P_H,v_sko__Hoare__Mirabelle__Xconse_q1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconse_q1__2(V_P,V_P_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconse_q12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q12__3(V_P,V_P_H,V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconse_q2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q2__2(V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q_H,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c))).
% 99.67/99.85 0 [] hAPP(c_COMBK(v_P,t_a,t_b),v_Q)=v_P.
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool),T_a),c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and),hAPP(c_fe_qual(tc_Com_Ostate),V_s_H)),tc_Com_Ostate,tc_bool,tc_bool)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),T_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),V_P),T_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBS(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(V_X)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),V_a))),c_Com_Ocom_OLocal(V_X,V_a,V_c),V_Q,T_a),tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),T_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),V_Q),T_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(V_X)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(V_s_H,V_X))),T_a),tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 99.67/99.85 0 [] hAPP(hAPP(hAPP(c_COMBB(t_a,t_b,t_c),v_P),v_Q),v_R)=hAPP(v_P,hAPP(v_Q,v_R)).
% 99.67/99.85 0 [] hAPP(hAPP(c_COMBC(v_P,t_a,t_b,t_c),v_Q),v_R)=hAPP(hAPP(v_P,v_R),v_Q).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_P,T_a),tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSemi(V_c,V_d),V_R,T_a),tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_Q,V_d,V_R,T_a),tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,T_a),tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),T_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),V_P),T_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBS(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),V_X),tc_Com_Ostate,tc_nat,tc_Com_Ostate),V_a)),c_Com_Ocom_OAss(V_X,V_a),V_P,T_a),tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(V_t,tc_Hoare__Mirabelle_Otriple(T_a)),V_ts),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(V_t,tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(V_t,tc_Hoare__Mirabelle_Otriple(T_a)),V_ts),T_a).
% 99.67/99.85 0 [] hBOOL(hAPP(hAPP(c_Set_Oinsert(V_x,T_a),V_A),V_x)).
% 99.67/99.85 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).
% 99.67/99.85 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=hAPP(c_Set_Oinsert(V_a,T_a),V_A).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a)!=c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)|V_fun2=V_fun2_H.
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a)!=c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)|V_com=V_com_H.
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a)!=c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)|V_fun1=V_fun1_H.
% 99.67/99.85 0 [] hAPP(c_Set_Oinsert(V_a,T_a),hAPP(c_Set_Oinsert(V_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))!=hAPP(c_Set_Oinsert(V_c,T_a),hAPP(c_Set_Oinsert(V_d,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))|V_b=V_c|V_b=V_d.
% 99.67/99.85 0 [] hAPP(c_Set_Oinsert(V_a,T_a),hAPP(c_Set_Oinsert(V_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))!=hAPP(c_Set_Oinsert(V_c,T_a),hAPP(c_Set_Oinsert(V_d,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))|V_a=V_d|V_b=V_d.
% 99.67/99.85 0 [] hAPP(c_Set_Oinsert(V_a,T_a),hAPP(c_Set_Oinsert(V_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))!=hAPP(c_Set_Oinsert(V_c,T_a),hAPP(c_Set_Oinsert(V_d,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))|V_b=V_c|V_a=V_c.
% 99.67/99.85 0 [] hAPP(c_Set_Oinsert(V_a,T_a),hAPP(c_Set_Oinsert(V_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))!=hAPP(c_Set_Oinsert(V_c,T_a),hAPP(c_Set_Oinsert(V_d,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))|V_a=V_d|V_a=V_c.
% 99.67/99.85 0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a).
% 99.67/99.85 0 [] c_Com_Ovname_OLoc(V_loc)!=c_Com_Ovname_OLoc(V_loc_H)|V_loc=V_loc_H.
% 99.67/99.85 0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(hAPP(c_Set_Oinsert(V_y,T_a),V_A),V_x)).
% 99.67/99.85 0 [] hAPP(c_Set_Oinsert(V_x,T_a),hAPP(c_Set_Oinsert(V_x,T_a),V_A))=hAPP(c_Set_Oinsert(V_x,T_a),V_A).
% 99.67/99.85 0 [] hAPP(c_Set_Oinsert(V_a,T_a),V_A)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 99.67/99.85 0 [] hAPP(c_Set_Oinsert(V_x,T_a),hAPP(c_Set_Oinsert(V_y,T_a),V_A))=hAPP(c_Set_Oinsert(V_y,T_a),hAPP(c_Set_Oinsert(V_x,T_a),V_A)).
% 99.67/99.85 0 [] hAPP(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_P),V_Q),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 99.67/99.85 0 [] hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 99.67/99.85 0 [] hAPP(c_Set_Oinsert(V_xa,T_a),hAPP(c_Set_Oinsert(V_x,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))=hAPP(c_Set_Oinsert(V_x,T_a),hAPP(c_Set_Oinsert(V_xa,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 99.67/99.85 0 [] hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))!=hAPP(c_Set_Oinsert(V_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))|V_a=V_b.
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(V_t,tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(V_t,tc_Hoare__Mirabelle_Otriple(T_a)),V_ts),T_a).
% 99.67/99.85 0 [] hBOOL(hAPP(hAPP(c_Set_Oinsert(V_y,T_a),V_A),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(V_t,tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),hAPP(c_Set_Oinsert(V_t,tc_Hoare__Mirabelle_Otriple(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 99.67/99.85 0 [] c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.85 0 [] -c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBB(tc_Com_Ostate,tc_bool,tc_Com_Ostate)),v_Q),t_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(c_COMBC(hAPP(c_COMBC(c_Natural_Oupdate,tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_nat,tc_Com_Ostate)),c_Com_Ovname_OLoc(v_Y)),tc_Com_Ostate,tc_nat,tc_Com_Ostate),c_Natural_Ogetlocs(v_s_H,v_Y))),t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.85 0 [] hBOOL(hAPP(hAPP(v_Q,V_Z),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s),c_Com_Ovname_OLoc(v_Y)),V_k)))| -hBOOL(hAPP(hAPP(v_Q,V_Z),V_s)).
% 99.67/99.85 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 99.67/99.85 0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 99.67/99.85 0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 99.67/99.85 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 99.67/99.85 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 99.67/99.85 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 99.67/99.85 0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 99.67/99.85 0 [] class_HOL_Ominus(tc_fun(T_2,T_1))| -class_HOL_Ominus(T_1).
% 99.67/99.85 0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 99.67/99.85 0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 99.67/99.85 0 [] class_Orderings_Opreorder(tc_nat).
% 99.67/99.85 0 [] class_Orderings_Olinorder(tc_nat).
% 99.67/99.85 0 [] class_Lattices_Olattice(tc_nat).
% 99.67/99.85 0 [] class_Orderings_Oorder(tc_nat).
% 99.67/99.85 0 [] class_Orderings_Obot(tc_nat).
% 99.67/99.85 0 [] class_HOL_Ominus(tc_nat).
% 99.67/99.85 0 [] class_HOL_Oord(tc_nat).
% 99.67/99.85 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 99.67/99.85 0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 99.67/99.85 0 [] class_Lattices_Obounded__lattice(tc_bool).
% 99.67/99.85 0 [] class_Orderings_Opreorder(tc_bool).
% 99.67/99.85 0 [] class_Lattices_Olattice(tc_bool).
% 99.67/99.85 0 [] class_Orderings_Oorder(tc_bool).
% 99.67/99.85 0 [] class_Orderings_Obot(tc_bool).
% 99.67/99.85 0 [] class_HOL_Ominus(tc_bool).
% 99.67/99.85 0 [] class_HOL_Oord(tc_bool).
% 99.67/99.85 0 [] hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 99.67/99.85 0 [] hAPP(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_P),V_Q),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 99.67/99.85 0 [] hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_x),V_x)).
% 99.67/99.85 0 [] V_X=V_Y| -hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_X),V_Y)).
% 99.67/99.85 end_of_list.
% 99.67/99.85
% 99.67/99.85 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 99.67/99.85
% 99.67/99.85 This ia a non-Horn set with equality. The strategy will be
% 99.67/99.85 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 99.67/99.85 deletion, with positive clauses in sos and nonpositive
% 99.67/99.85 clauses in usable.
% 99.67/99.85
% 99.67/99.85 dependent: set(knuth_bendix).
% 99.67/99.85 dependent: set(anl_eq).
% 99.67/99.85 dependent: set(para_from).
% 99.67/99.85 dependent: set(para_into).
% 99.67/99.85 dependent: clear(para_from_right).
% 99.67/99.85 dependent: clear(para_into_right).
% 99.67/99.85 dependent: set(para_from_vars).
% 99.67/99.85 dependent: set(eq_units_both_ways).
% 99.67/99.85 dependent: set(dynamic_demod_all).
% 99.67/99.85 dependent: set(dynamic_demod).
% 99.67/99.85 dependent: set(order_eq).
% 99.67/99.85 dependent: set(back_demod).
% 99.67/99.85 dependent: set(lrpo).
% 99.67/99.85 dependent: set(hyper_res).
% 99.67/99.85 dependent: set(unit_deletion).
% 99.67/99.85 dependent: set(factor).
% 99.67/99.85
% 99.67/99.85 ------------> process usable:
% 99.67/99.85 ** KEPT (pick-wt=8): 1 [] c_Hoare__Mirabelle_Ohoare__valids(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,B,C).
% 99.67/99.85 ** KEPT (pick-wt=25): 2 [] c_List_Omap(A,B,C,D)!=c_List_Omap(E,B,C,D)|hAPP(A,F)=hAPP(E,F)| -hBOOL(c_in(F,c_List_Oset(B,C),C)).
% 99.67/99.85 ** KEPT (pick-wt=22): 3 [] hAPP(A,c_List_Oset(B,C))=c_List_Ofoldl(D,E,B,C,C)| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,D,I,J,E,C).
% 99.67/99.85 ** KEPT (pick-wt=22): 4 [] hAPP(A,c_List_Oset(B,C))=c_List_Ofoldl(D,E,B,C,C)| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,D,E,J,C).
% 99.67/99.85 ** KEPT (pick-wt=16): 5 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_List_Oset(B,A),A)=c_List_Ofoldl(c_Lattices_Oupper__semilattice__class_Osup(A),c_Orderings_Obot__class_Obot(A),B,A,A).
% 99.67/99.85 ** KEPT (pick-wt=25): 6 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)).
% 99.67/99.85 ** KEPT (pick-wt=25): 7 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 99.67/99.85 ** KEPT (pick-wt=25): 8 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 99.67/99.85 Following clause subsumed by 8 during input processing: 0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 99.67/99.85 ** KEPT (pick-wt=19): 9 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 99.67/99.85 ** KEPT (pick-wt=11): 10 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),A).
% 99.67/99.85 ** KEPT (pick-wt=11): 11 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B),A).
% 99.67/99.85 Following clause subsumed by 9 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 99.67/99.85 Following clause subsumed by 9 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 99.67/99.85 ** KEPT (pick-wt=11): 12 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B),A).
% 99.67/99.85 ** KEPT (pick-wt=11): 13 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),A).
% 99.67/99.85 ** KEPT (pick-wt=28): 14 [] c_Complete__Lattice_Ocomplete__lattice(A,B,c_COMBC(C,D,D,tc_bool),c_COMBC(E,D,D,tc_bool),F,G,H,I,D)| -c_Complete__Lattice_Ocomplete__lattice(B,A,C,E,G,F,I,H,D).
% 99.67/99.85 ** KEPT (pick-wt=21): 15 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,B,tc_fun(A,tc_bool)))=C| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 99.67/99.85 ** KEPT (pick-wt=6): 17 [copy,16,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 99.67/99.85 ** KEPT (pick-wt=25): 18 [] c_List_Olist__all2(A,c_List_Omap(B,C,D,E),F,E,G)| -c_List_Olist__all2(hAPP(hAPP(c_COMBB(E,tc_fun(G,tc_bool),D),A),B),C,F,D,G).
% 99.67/99.85 ** KEPT (pick-wt=25): 19 [] c_List_Olist__all2(hAPP(hAPP(c_COMBB(A,tc_fun(B,tc_bool),C),D),E),F,G,C,B)| -c_List_Olist__all2(D,c_List_Omap(E,F,C,A),G,A,B).
% 99.67/99.85 ** KEPT (pick-wt=61): 20 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(hAPP(c_COMBC(c_fe_qual(tc_Com_Ostate),tc_Com_Ostate,tc_Com_Ostate,tc_bool),v_sko__Hoare__Mirabelle__Xescape__2(A,B,D,C)),tc_fun(tc_Com_Ostate,tc_bool),t_a),C,c_COMBK(hAPP(D,v_sko__Hoare__Mirabelle__Xescape__1(A,B,D,C)),tc_fun(tc_Com_Ostate,tc_bool),t_a),t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.85 ** KEPT (pick-wt=65): 21 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool),t_a),c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and),hAPP(c_fe_qual(tc_Com_Ostate),v_sko__Hoare__Mirabelle__Xexport__s__1(A,B,D,C))),tc_Com_Ostate,tc_bool,tc_bool)),B),C,D,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.85 ** KEPT (pick-wt=47): 22 [] c_Hoare__Mirabelle_Ohoare__valids(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OWhile(C,D),c_Hoare__Mirabelle_Opeek__and(B,c_Fun_Ocomp(c_Not,C,tc_bool,tc_bool,tc_Com_Ostate),E),E),tc_Hoare__Mirabelle_Otriple(E)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool))),E)| -c_Hoare__Mirabelle_Ohoare__valids(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(B,C,E),D,B,E),tc_Hoare__Mirabelle_Otriple(E)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool))),E).
% 99.67/99.85 ** KEPT (pick-wt=31): 23 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_List_Oset(B,C),D,C,A)=c_List_Ofoldl(c_COMBC(hAPP(hAPP(c_COMBB(A,tc_fun(A,A),C),c_Lattices_Oupper__semilattice__class_Osup(A)),D),C,A,A),c_Orderings_Obot__class_Obot(A),B,A,C).
% 99.67/99.85 ** KEPT (pick-wt=25): 24 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)).
% 99.67/99.85 ** KEPT (pick-wt=25): 25 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 99.67/99.85 ** KEPT (pick-wt=14): 26 [] c_Natural_Oevalc(c_Com_Ocom_OSemi(A,B),C,D)| -c_Natural_Oevalc(B,E,D)| -c_Natural_Oevalc(A,C,E).
% 99.67/99.85 ** KEPT (pick-wt=15): 27 [] -hBOOL(hAPP(A,B))|c_Natural_Oevalc(C,B,D)| -c_Natural_Oevalc(c_Com_Ocom_OCond(A,C,E),B,D).
% 99.67/99.85 ** KEPT (pick-wt=15): 28 [] c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C),D,E)| -c_Natural_Oevalc(B,D,E)| -hBOOL(hAPP(A,D)).
% 99.67/99.85 ** KEPT (pick-wt=10): 29 [] A=B| -c_List_Olist__all2(c_fe_qual(C),A,B,C,C).
% 99.67/99.85 ** KEPT (pick-wt=17): 30 [] c_Natural_Oevaln(c_Com_Ocom_OSemi(A,B),C,D,E)| -c_Natural_Oevaln(B,F,D,E)| -c_Natural_Oevaln(A,C,D,F).
% 99.67/99.85 ** KEPT (pick-wt=14): 31 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 99.67/99.85 ** KEPT (pick-wt=14): 32 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 99.67/99.85 ** KEPT (pick-wt=20): 33 [] c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B),C,D)| -c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B),E,D)| -c_Natural_Oevalc(B,C,E)| -hBOOL(hAPP(A,C)).
% 99.67/99.85 ** KEPT (pick-wt=23): 34 [] c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),C,D,E)| -c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),F,D,E)| -c_Natural_Oevaln(B,C,D,F)| -hBOOL(hAPP(A,C)).
% 99.67/99.85 ** KEPT (pick-wt=6): 35 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C).
% 99.67/99.85 ** KEPT (pick-wt=9): 36 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,A,C)).
% 99.67/99.85 ** KEPT (pick-wt=9): 37 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(B,A)).
% 99.67/99.85 ** KEPT (pick-wt=17): 38 [] -hBOOL(hAPP(A,B))|c_Natural_Oevaln(C,B,D,E)| -c_Natural_Oevaln(c_Com_Ocom_OCond(A,C,F),B,D,E).
% 99.67/99.85 ** KEPT (pick-wt=17): 39 [] c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)| -c_Natural_Oevaln(B,D,E,F)| -hBOOL(hAPP(A,D)).
% 99.67/99.85 ** KEPT (pick-wt=20): 40 [] hAPP(A,B)!=hAPP(A,C)| -c_Lattices_Oboolean__algebra(D,A,E,F,G,H,I,J,K)|B=C.
% 99.67/99.85 ** KEPT (pick-wt=10): 41 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),B)=B.
% 99.67/99.85 ** KEPT (pick-wt=23): 42 [] -class_Lattices_Olattice(A)|hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,A)),B),C),v_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(B,v_x)),hAPP(C,v_x)).
% 99.67/99.85 ** KEPT (pick-wt=6): 43 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C).
% 99.67/99.85 ** KEPT (pick-wt=33): 44 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,hAPP(c_Set_Oinsert(B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -hBOOL(c_in(B,A,C))| -c_lesse_quals(A,hAPP(c_Set_Oinsert(B,C),D),tc_fun(C,tc_bool)).
% 99.67/99.85 ** KEPT (pick-wt=33): 45 [] c_lesse_quals(A,hAPP(c_Set_Oinsert(B,C),D),tc_fun(C,tc_bool))| -hBOOL(c_in(B,A,C))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,hAPP(c_Set_Oinsert(B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool)).
% 99.67/99.85 Following clause subsumed by 45 during input processing: 0 [] c_lesse_quals(A,hAPP(c_Set_Oinsert(B,C),D),tc_fun(C,tc_bool))| -hBOOL(c_in(B,A,C))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,hAPP(c_Set_Oinsert(B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool)).
% 99.67/99.85 ** KEPT (pick-wt=17): 46 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(hAPP(B,C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,A),A)| -hBOOL(c_in(C,D,E)).
% 99.67/99.85 ** KEPT (pick-wt=19): 47 [] c_lesse_quals(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))| -hBOOL(c_in(B,C,D)).
% 99.67/99.85 ** KEPT (pick-wt=22): 48 [] c_HOL_Ominus__class_Ominus(hAPP(c_Set_Oinsert(A,B),C),D,tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(C,D,tc_fun(B,tc_bool))| -hBOOL(c_in(A,D,B)).
% 99.67/99.85 ** KEPT (pick-wt=9): 49 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 99.67/99.85 ** KEPT (pick-wt=7): 50 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSemi(C,D).
% 99.67/99.85 ** KEPT (pick-wt=5): 51 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 99.67/99.85 ** KEPT (pick-wt=37): 52 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(B,tc_bool),C),c_Set_Oinsert(D,B)),E),C,tc_fun(B,tc_bool))=hAPP(c_Set_Oinsert(D,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,E,C,tc_fun(B,tc_bool)))| -hBOOL(c_in(F,A,C)).
% 99.67/99.85 ** KEPT (pick-wt=6): 53 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OWhile(B,C).
% 99.67/99.85 ** KEPT (pick-wt=7): 54 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OLocal(B,C,D).
% 99.67/99.85 ** KEPT (pick-wt=8): 55 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 99.67/99.85 ** KEPT (pick-wt=18): 56 [] A=hAPP(hAPP(hAPP(c_Natural_Oupdate,B),C),hAPP(D,B))| -c_Natural_Oevaln(c_Com_Ocom_OAss(C,D),B,E,A).
% 99.67/99.85 ** KEPT (pick-wt=6): 57 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OBODY(C).
% 99.67/99.85 ** KEPT (pick-wt=10): 58 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|B=D.
% 99.67/99.85 ** KEPT (pick-wt=10): 59 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|A=C.
% 99.67/99.85 ** KEPT (pick-wt=7): 60 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 99.67/99.85 ** KEPT (pick-wt=18): 62 [copy,61,flip.2] -class_Complete__Lattice_Ocomplete__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Complete__Lattice_OSup__class_OSup(C,A))=c_Complete__Lattice_OSup__class_OSup(hAPP(c_Set_Oinsert(B,A),C),A).
% 99.67/99.85 ** KEPT (pick-wt=8): 63 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 99.67/99.85 ** KEPT (pick-wt=8): 64 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 99.67/99.85 ** KEPT (pick-wt=8): 65 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 99.67/99.85 ** KEPT (pick-wt=25): 66 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))|hAPP(B,E)=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))| -hBOOL(c_in(E,A,C)).
% 99.67/99.85 ** KEPT (pick-wt=6): 67 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OAss(B,C).
% 99.67/99.85 ** KEPT (pick-wt=8): 68 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 99.67/99.85 ** KEPT (pick-wt=15): 69 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool)),C)).
% 99.67/99.86 ** KEPT (pick-wt=9): 70 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 99.67/99.86 ** KEPT (pick-wt=15): 71 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),C)).
% 99.67/99.86 ** KEPT (pick-wt=25): 72 [] c_lesse_quals(hAPP(A,B),C,tc_fun(D,tc_bool))| -hBOOL(c_in(B,E,F))| -c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,A,F,tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=8): 73 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 99.67/99.86 ** KEPT (pick-wt=29): 74 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(B,C)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,tc_fun(A,tc_bool))| -hBOOL(c_in(C,D,E)).
% 99.67/99.86 ** KEPT (pick-wt=12): 75 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|C=F.
% 99.67/99.86 ** KEPT (pick-wt=12): 76 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|B=E.
% 99.67/99.86 ** KEPT (pick-wt=12): 77 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|A=D.
% 99.67/99.86 ** KEPT (pick-wt=22): 78 [] -class_Orderings_Oorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))| -c_lesse_quals(C,E,A)| -c_lesse_quals(D,B,A).
% 99.67/99.86 ** KEPT (pick-wt=22): 79 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,B,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(D,B,A),c_SetInterval_Oord__class_OatLeastAtMost(E,C,A),tc_fun(A,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=22): 80 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(C,D,A),c_SetInterval_Oord__class_OatLeastAtMost(B,E,A),tc_fun(A,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=38): 81 [] c_Collect(hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B)),A,tc_bool,tc_bool),C),A)=hAPP(c_Set_Oinsert(B,A),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))| -hBOOL(hAPP(C,B)).
% 99.67/99.86 ** KEPT (pick-wt=7): 82 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OWhile(C,D).
% 99.67/99.86 ** KEPT (pick-wt=18): 83 [] -class_Orderings_Oorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))|c_lesse_quals(B,C,A).
% 99.67/99.86 ** KEPT (pick-wt=8): 84 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 99.67/99.86 ** KEPT (pick-wt=19): 85 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),C),A),B)).
% 99.67/99.86 ** KEPT (pick-wt=15): 86 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(C,D)).
% 99.67/99.86 ** KEPT (pick-wt=15): 87 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(B,D)).
% 99.67/99.86 ** KEPT (pick-wt=22): 88 [] hBOOL(c_in(A,B,C))|hBOOL(c_in(A,D,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),B),C)).
% 99.67/99.86 ** KEPT (pick-wt=7): 89 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OBODY(D).
% 99.67/99.86 ** KEPT (pick-wt=7): 90 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCond(B,C,D).
% 99.67/99.86 ** KEPT (pick-wt=8): 91 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 99.67/99.86 ** KEPT (pick-wt=25): 92 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(A,tc_bool))|hAPP(C,E)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(c_in(E,B,D)).
% 99.67/99.86 ** KEPT (pick-wt=8): 93 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 99.67/99.86 ** KEPT (pick-wt=8): 94 [] c_Com_Ovname_OGlb(A)!=c_Com_Ovname_OGlb(B)|A=B.
% 99.67/99.86 Following clause subsumed by 51 during input processing: 0 [flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 99.67/99.86 ** KEPT (pick-wt=6): 96 [copy,95,flip.1] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP.
% 99.67/99.86 ** KEPT (pick-wt=28): 97 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(E,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=17): 98 [] c_Natural_Oevaln(A,B,C,D)|hBOOL(hAPP(E,B))| -c_Natural_Oevaln(c_Com_Ocom_OCond(E,F,A),B,C,D).
% 99.67/99.86 ** KEPT (pick-wt=17): 99 [] c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)| -c_Natural_Oevaln(C,D,E,F)|hBOOL(hAPP(A,D)).
% 99.67/99.86 ** KEPT (pick-wt=7): 100 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OAss(C,D).
% 99.67/99.86 ** KEPT (pick-wt=11): 101 [] hBOOL(c_in(A,c_Collect(B,C),C))| -hBOOL(hAPP(B,A)).
% 99.67/99.86 ** KEPT (pick-wt=11): 102 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Collect(A,C),C)).
% 99.67/99.86 ** KEPT (pick-wt=7): 103 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OBODY(D).
% 99.67/99.86 ** KEPT (pick-wt=20): 104 [] 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)).
% 99.67/99.86 Following clause subsumed by 104 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)).
% 99.67/99.86 ** KEPT (pick-wt=15): 105 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(hAPP(c_Set_Oinsert(A,C),D),B,tc_fun(C,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=18): 106 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,c_COMBK(C,A,D),D,A)=C|B=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=21): 107 [] c_lesse_quals(A,hAPP(c_Set_Oinsert(B,C),D),tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool))|hBOOL(c_in(B,A,C)).
% 99.67/99.86 ** KEPT (pick-wt=21): 108 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C))| -c_lesse_quals(A,hAPP(c_Set_Oinsert(D,C),B),tc_fun(C,tc_bool)).
% 99.67/99.86 Following clause subsumed by 107 during input processing: 0 [] c_lesse_quals(A,hAPP(c_Set_Oinsert(B,C),D),tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool))|hBOOL(c_in(B,A,C)).
% 99.67/99.86 Following clause subsumed by 108 during input processing: 0 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(c_Set_Oinsert(D,C),B),tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C)).
% 99.67/99.86 ** KEPT (pick-wt=23): 109 [] hBOOL(c_in(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(E,tc_bool)),E))| -hBOOL(c_in(A,hAPP(C,F),E))| -hBOOL(c_in(F,B,D)).
% 99.67/99.86 Following clause subsumed by 109 during input processing: 0 [] hBOOL(c_in(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(E,tc_bool)),E))| -hBOOL(c_in(A,hAPP(C,F),E))| -hBOOL(c_in(F,B,D)).
% 99.67/99.86 ** KEPT (pick-wt=19): 110 [] -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).
% 99.67/99.86 ** KEPT (pick-wt=17): 111 [] A=hAPP(hAPP(hAPP(c_Natural_Oupdate,B),C),hAPP(D,B))| -c_Natural_Oevalc(c_Com_Ocom_OAss(C,D),B,A).
% 99.67/99.86 ** KEPT (pick-wt=8): 112 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 99.67/99.86 ** KEPT (pick-wt=23): 113 [] hBOOL(hAPP(hAPP(A,hAPP(B,C)),D))| -hBOOL(c_in(D,C,E))| -c_Complete__Lattice_Ocomplete__lattice(B,F,A,G,H,I,J,K,E).
% 99.67/99.86 ** KEPT (pick-wt=23): 114 [] hBOOL(hAPP(hAPP(A,B),hAPP(C,D)))| -hBOOL(c_in(B,D,E))| -c_Complete__Lattice_Ocomplete__lattice(F,C,A,G,H,I,J,K,E).
% 99.67/99.86 ** KEPT (pick-wt=15): 115 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B).
% 99.67/99.86 ** KEPT (pick-wt=15): 116 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B).
% 99.67/99.86 ** KEPT (pick-wt=8): 117 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OBODY(B)|A=B.
% 99.67/99.86 ** KEPT (pick-wt=10): 118 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|A=C.
% 99.67/99.86 ** KEPT (pick-wt=10): 119 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|B=D.
% 99.67/99.86 ** KEPT (pick-wt=20): 120 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 99.67/99.86 ** KEPT (pick-wt=20): 121 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 99.67/99.86 Following clause subsumed by 17 during input processing: 0 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 99.67/99.86 ** KEPT (pick-wt=21): 122 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),E))| -hBOOL(hAPP(hAPP(B,F),E))| -hBOOL(c_in(F,A,C)).
% 99.67/99.86 Following clause subsumed by 122 during input processing: 0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),E))| -hBOOL(hAPP(hAPP(B,F),E))| -hBOOL(c_in(F,A,C)).
% 99.67/99.86 ** KEPT (pick-wt=8): 123 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 99.67/99.86 ** KEPT (pick-wt=8): 124 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 99.67/99.86 ** KEPT (pick-wt=4): 126 [copy,125,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 99.67/99.86 ** KEPT (pick-wt=8): 127 [] A=B| -c_Natural_Oevaln(c_Com_Ocom_OSKIP,B,C,A).
% 99.67/99.86 ** KEPT (pick-wt=24): 128 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),B),D),tc_fun(C,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=24): 129 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,C,tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=7): 130 [] A=B| -c_Natural_Oevalc(c_Com_Ocom_OSKIP,B,A).
% 99.67/99.86 ** KEPT (pick-wt=9): 131 [] c_Natural_Oevalc(A,B,C)| -c_Natural_Oevaln(A,B,D,C).
% 99.67/99.86 Following clause subsumed by 131 during input processing: 0 [] c_Natural_Oevalc(A,B,C)| -c_Natural_Oevaln(A,B,D,C).
% 99.67/99.86 ** KEPT (pick-wt=16): 132 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 99.67/99.86 ** KEPT (pick-wt=28): 133 [] c_Natural_Oevaln(A,hAPP(hAPP(hAPP(c_Natural_Oupdate,B),c_Com_Ovname_OLoc(C)),hAPP(D,B)),E,c_Natural_Osko__Natural__Xevaln__elim__cases__3__1(C,D,A,E,B,F))| -c_Natural_Oevaln(c_Com_Ocom_OLocal(C,D,A),B,E,F).
% 99.67/99.86 ** KEPT (pick-wt=25): 134 [] c_Natural_Oevalc(A,hAPP(hAPP(hAPP(c_Natural_Oupdate,B),c_Com_Ovname_OLoc(C)),hAPP(D,B)),c_Natural_Osko__Natural__Xevalc__elim__cases__3__1(C,D,A,B,E))| -c_Natural_Oevalc(c_Com_Ocom_OLocal(C,D,A),B,E).
% 99.67/99.86 ** KEPT (pick-wt=11): 135 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),c_Orderings_Obot__class_Obot(A)),B)=B.
% 99.67/99.86 ** KEPT (pick-wt=11): 136 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Orderings_Obot__class_Obot(A))=B.
% 99.67/99.86 ** KEPT (pick-wt=7): 137 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 99.67/99.86 ** KEPT (pick-wt=15): 138 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=c_Orderings_Obot__class_Obot(A)|B=c_Orderings_Obot__class_Obot(A).
% 99.67/99.86 ** KEPT (pick-wt=15): 139 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=c_Orderings_Obot__class_Obot(A)|C=c_Orderings_Obot__class_Obot(A).
% 99.67/99.86 ** KEPT (pick-wt=18): 140 [] hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))=C| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,I,C,B).
% 99.67/99.86 ** KEPT (pick-wt=18): 141 [] hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))=C| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,C,I,B).
% 99.67/99.86 ** KEPT (pick-wt=12): 142 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Collect(B,A)| -hBOOL(hAPP(B,C)).
% 99.67/99.86 ** KEPT (pick-wt=8): 143 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 99.67/99.86 Following clause subsumed by 143 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 99.67/99.86 Following clause subsumed by 143 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 99.67/99.86 Following clause subsumed by 143 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 99.67/99.86 ** KEPT (pick-wt=15): 144 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=12): 145 [] c_Collect(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(A,C)).
% 99.67/99.86 ** KEPT (pick-wt=10): 146 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C)).
% 99.67/99.86 Following clause subsumed by 143 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 99.67/99.86 ** KEPT (pick-wt=19): 147 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=19): 148 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=24): 149 [] hAPP(c_Set_Oinsert(A,B),c_HOL_Ominus__class_Ominus(C,hAPP(c_Set_Oinsert(A,B),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)))=C| -hBOOL(c_in(A,C,B)).
% 99.67/99.86 ** KEPT (pick-wt=23): 150 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(hAPP(c_Set_Oinsert(B,A),hAPP(c_Set_Oinsert(C,A),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))),A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 99.67/99.86 ** KEPT (pick-wt=34): 151 [] c_lesse_quals(A,hAPP(c_Set_Oinsert(B,C),D),tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,hAPP(c_Set_Oinsert(B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=20): 152 [] c_lesse_quals(hAPP(c_Set_Oinsert(A,B),C),hAPP(c_Set_Oinsert(A,B),D),tc_fun(B,tc_bool))| -c_lesse_quals(C,D,tc_fun(B,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=14): 153 [] hBOOL(c_in(A,hAPP(c_Set_Oinsert(B,C),D),C))| -hBOOL(c_in(A,D,C)).
% 99.67/99.86 Following clause subsumed by 153 during input processing: 0 [] hBOOL(c_in(A,hAPP(c_Set_Oinsert(B,C),D),C))| -hBOOL(c_in(A,D,C)).
% 99.67/99.86 ** KEPT (pick-wt=25): 154 [] hAPP(A,hAPP(c_Set_Oinsert(B,C),D))=hAPP(hAPP(E,B),hAPP(A,D))| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,C).
% 99.67/99.86 ** KEPT (pick-wt=25): 155 [] hAPP(A,hAPP(c_Set_Oinsert(B,C),D))=hAPP(hAPP(E,B),hAPP(A,D))| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,C).
% 99.67/99.86 ** KEPT (pick-wt=17): 156 [] hBOOL(c_in(A,B,C))|A=D| -hBOOL(c_in(A,hAPP(c_Set_Oinsert(D,C),B),C)).
% 99.67/99.86 ** KEPT (pick-wt=16): 157 [] c_lesse_quals(A,hAPP(c_Set_Oinsert(B,C),D),tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=16): 158 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(hAPP(c_Set_Oinsert(D,C),A),B,tc_fun(C,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=24): 159 [] hAPP(c_Set_Oinsert(A,B),C)!=hAPP(c_Set_Oinsert(A,B),D)|hBOOL(c_in(A,D,B))|hBOOL(c_in(A,C,B))|C=D.
% 99.67/99.86 ** KEPT (pick-wt=12): 160 [] hAPP(c_Set_Oinsert(A,B),C)=C| -hBOOL(c_in(A,C,B)).
% 99.67/99.86 ** KEPT (pick-wt=15): 161 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=11): 162 [] A=B| -c_Natural_Oevalc(C,D,A)| -c_Natural_Oevalc(C,D,B).
% 99.67/99.86 Following clause subsumed by 161 during input processing: 0 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=13): 163 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 99.67/99.86 Following clause subsumed by 163 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 99.67/99.86 Following clause subsumed by 163 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 99.67/99.86 Following clause subsumed by 96 during input processing: 0 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP.
% 99.67/99.86 ** KEPT (pick-wt=14): 164 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=B| -c_lesse_quals(C,B,A).
% 99.67/99.86 ** KEPT (pick-wt=14): 165 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=C|c_lesse_quals(B,C,A).
% 99.67/99.86 ** KEPT (pick-wt=14): 166 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=C| -c_lesse_quals(B,C,A).
% 99.67/99.86 ** KEPT (pick-wt=16): 167 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=C| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=16): 168 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=B| -c_lesse_quals(C,B,tc_fun(A,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=16): 169 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=C|c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=15): 170 [] c_Natural_Oevalc(A,B,C)|hBOOL(hAPP(D,B))| -c_Natural_Oevalc(c_Com_Ocom_OCond(D,E,A),B,C).
% 99.67/99.86 ** KEPT (pick-wt=15): 171 [] c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C),D,E)| -c_Natural_Oevalc(C,D,E)|hBOOL(hAPP(A,D)).
% 99.67/99.86 ** KEPT (pick-wt=5): 173 [copy,172,flip.1] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSKIP.
% 99.67/99.86 ** KEPT (pick-wt=34): 174 [] c_Collect(hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),hAPP(c_fe_qual(A),B)),A,tc_bool,tc_bool),C),A)=hAPP(c_Set_Oinsert(B,A),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))| -hBOOL(hAPP(C,B)).
% 99.67/99.86 ** KEPT (pick-wt=7): 175 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OAss(C,D).
% 99.67/99.86 ** KEPT (pick-wt=13): 176 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(c_Complete__Lattice_OInf__class_OInf(B,A),C,A)| -hBOOL(c_in(C,B,A)).
% 99.67/99.86 ** KEPT (pick-wt=15): 177 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)|c_lesse_quals(B,C,A).
% 99.67/99.86 ** KEPT (pick-wt=15): 178 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)| -c_lesse_quals(B,C,A).
% 99.67/99.86 ** KEPT (pick-wt=32): 179 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),E),tc_fun(A,tc_bool))| -c_lesse_quals(C,E,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=10): 180 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OAss(C,D)|B=D.
% 99.67/99.86 ** KEPT (pick-wt=10): 181 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OAss(C,D)|A=C.
% 99.67/99.86 ** KEPT (pick-wt=5): 182 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 99.67/99.86 ** KEPT (pick-wt=21): 183 [] c_lesse_quals(hAPP(c_Set_Oinsert(A,B),C),D,tc_fun(B,tc_bool))| -c_lesse_quals(C,D,tc_fun(B,tc_bool))| -hBOOL(c_in(A,D,B)).
% 99.67/99.86 ** KEPT (pick-wt=12): 184 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|C=F.
% 99.67/99.86 ** KEPT (pick-wt=12): 185 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|B=E.
% 99.67/99.86 ** KEPT (pick-wt=12): 186 [] c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OLocal(D,E,F)|A=D.
% 99.67/99.86 ** KEPT (pick-wt=15): 187 [] -hBOOL(hAPP(A,c_Com_Ovname_Ovname__case(B,C,c_Com_Ovname_OGlb(D),t_a)))|hBOOL(hAPP(A,hAPP(B,D))).
% 99.67/99.86 Following clause subsumed by 187 during input processing: 0 [] -hBOOL(hAPP(A,c_Com_Ovname_Ovname__case(B,C,c_Com_Ovname_OGlb(D),t_a)))|hBOOL(hAPP(A,hAPP(B,D))).
% 99.67/99.86 ** KEPT (pick-wt=7): 188 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 99.67/99.86 ** KEPT (pick-wt=17): 189 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,D,B)).
% 99.67/99.86 ** KEPT (pick-wt=17): 190 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,C,B)).
% 99.67/99.86 ** KEPT (pick-wt=13): 191 [] hBOOL(hAPP(A,B))|C=B| -c_Natural_Oevalc(c_Com_Ocom_OWhile(A,D),B,C).
% 99.67/99.86 ** KEPT (pick-wt=15): 192 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A).
% 99.67/99.86 ** KEPT (pick-wt=15): 193 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A).
% 99.67/99.86 ** KEPT (pick-wt=15): 194 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A)| -c_lesse_quals(B,D,A).
% 99.67/99.86 ** KEPT (pick-wt=15): 195 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A)| -c_lesse_quals(B,C,A).
% 99.67/99.86 Following clause subsumed by 192 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A).
% 99.67/99.86 Following clause subsumed by 193 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A).
% 99.67/99.86 ** KEPT (pick-wt=19): 196 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),A),D),B,tc_fun(C,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=19): 197 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),A),B,tc_fun(C,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=19): 198 [] hAPP(hAPP(A,B),hAPP(C,B))=D| -c_Lattices_Oboolean__algebra(E,C,F,G,H,A,I,D,J).
% 99.67/99.86 ** KEPT (pick-wt=19): 199 [] hAPP(hAPP(A,B),hAPP(C,B))=D| -c_Lattices_Oboolean__algebra(E,C,F,G,A,H,D,I,J).
% 99.67/99.86 ** KEPT (pick-wt=19): 200 [] hAPP(hAPP(A,hAPP(B,C)),C)=D| -c_Lattices_Oboolean__algebra(E,B,F,G,H,A,I,D,J).
% 99.67/99.86 ** KEPT (pick-wt=19): 201 [] hAPP(hAPP(A,hAPP(B,C)),C)=D| -c_Lattices_Oboolean__algebra(E,B,F,G,A,H,D,I,J).
% 99.67/99.86 ** KEPT (pick-wt=17): 202 [] hAPP(A,hAPP(A,B))=B| -c_Lattices_Oboolean__algebra(C,A,D,E,F,G,H,I,J).
% 99.67/99.86 ** KEPT (pick-wt=23): 203 [] -c_Lattices_Oboolean__algebra(A,B,C,D,E,F,hAPP(hAPP(E,G),H),hAPP(hAPP(F,G),H),I)|hAPP(B,G)=H.
% 99.67/99.86 ** KEPT (pick-wt=15): 204 [] hAPP(A,B)=C| -c_Lattices_Oboolean__algebra(D,A,E,F,G,H,C,B,I).
% 99.67/99.86 ** KEPT (pick-wt=15): 205 [] hAPP(A,B)=C| -c_Lattices_Oboolean__algebra(D,A,E,F,G,H,B,C,I).
% 99.67/99.86 ** KEPT (pick-wt=23): 206 [] hAPP(hAPP(A,B),C)=hAPP(hAPP(D,B),hAPP(E,C))| -c_Lattices_Oboolean__algebra(A,E,F,G,D,H,I,J,K).
% 99.67/99.86 ** KEPT (pick-wt=27): 207 [] hAPP(A,hAPP(hAPP(B,C),D))=hAPP(hAPP(E,hAPP(A,C)),hAPP(A,D))| -c_Lattices_Oboolean__algebra(F,A,G,H,B,E,I,J,K).
% 99.67/99.86 ** KEPT (pick-wt=27): 208 [] hAPP(A,hAPP(hAPP(B,C),D))=hAPP(hAPP(E,hAPP(A,C)),hAPP(A,D))| -c_Lattices_Oboolean__algebra(F,A,G,H,E,B,I,J,K).
% 99.67/99.86 ** KEPT (pick-wt=12): 209 [] c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(A),tc_Com_Ocom),B,C)| -c_Natural_Oevalc(c_Com_Ocom_OBODY(A),B,C).
% 99.67/99.86 ** KEPT (pick-wt=12): 210 [] c_Natural_Oevalc(c_Com_Ocom_OBODY(A),B,C)| -c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(A),tc_Com_Ocom),B,C).
% 99.67/99.86 ** KEPT (pick-wt=14): 211 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 99.67/99.86 ** KEPT (pick-wt=14): 212 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 99.67/99.86 ** KEPT (pick-wt=16): 213 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 99.67/99.86 Following clause subsumed by 213 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 99.67/99.86 Following clause subsumed by 213 during input processing: 0 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)).
% 99.67/99.86 Following clause subsumed by 213 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=18): 214 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=14): 215 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 99.67/99.86 ** KEPT (pick-wt=6): 216 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 99.67/99.86 ** KEPT (pick-wt=6): 217 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 99.67/99.86 Following clause subsumed by 215 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 99.67/99.86 ** KEPT (pick-wt=15): 218 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|c_lesse_quals(B,C,A).
% 99.67/99.86 ** KEPT (pick-wt=15): 219 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(B,C,A).
% 99.67/99.86 ** KEPT (pick-wt=6): 220 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OBODY(C).
% 99.67/99.86 Following clause subsumed by 126 during input processing: 0 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 99.67/99.86 ** KEPT (pick-wt=24): 221 [] c_Fun_Ocomp(A,B,C,D,E)!=c_Fun_Ocomp(F,G,H,D,E)|hAPP(A,hAPP(B,I))=hAPP(F,hAPP(G,I)).
% 99.67/99.86 ** KEPT (pick-wt=28): 222 [] hAPP(A,hAPP(B,C))!=hAPP(D,hAPP(E,F))|hAPP(c_Fun_Ocomp(A,B,G,H,I),C)=hAPP(c_Fun_Ocomp(D,E,J,H,K),F).
% 99.67/99.86 ** KEPT (pick-wt=14): 223 [] hBOOL(hAPP(A,B))|C=B| -c_Natural_Oevaln(c_Com_Ocom_OWhile(A,D),B,E,C).
% 99.67/99.87 ** KEPT (pick-wt=25): 224 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=C| -c_lesse_quals(A,B,tc_fun(D,tc_bool))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 99.67/99.87 ** KEPT (pick-wt=19): 225 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(E,D,A)| -c_lesse_quals(C,B,A).
% 99.67/99.87 ** KEPT (pick-wt=19): 226 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(E,D,A).
% 99.67/99.87 Following clause subsumed by 173 during input processing: 0 [] c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSKIP.
% 99.67/99.87 ** KEPT (pick-wt=18): 227 [] c_Natural_Oevaln(A,B,C,D)|c_Natural_Oevaln(E,B,C,D)| -c_Natural_Oevaln(c_Com_Ocom_OCond(F,E,A),B,C,D).
% 99.67/99.87 ** KEPT (pick-wt=15): 228 [] c_Natural_Oevalc(A,B,C)|c_Natural_Oevalc(D,B,C)| -c_Natural_Oevalc(c_Com_Ocom_OCond(E,D,A),B,C).
% 99.67/99.87 ** KEPT (pick-wt=13): 229 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(B,c_Complete__Lattice_OSup__class_OSup(C,A),A)| -hBOOL(c_in(B,C,A)).
% 99.67/99.87 Following clause subsumed by 182 during input processing: 0 [flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 99.67/99.87 ** KEPT (pick-wt=10): 230 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 99.67/99.87 ** KEPT (pick-wt=5): 231 [] c_Com_Ovname_OLoc(A)!=c_Com_Ovname_OGlb(B).
% 99.67/99.87 ** KEPT (pick-wt=5): 232 [] c_Com_Ovname_OGlb(A)!=c_Com_Ovname_OLoc(B).
% 99.67/99.87 ** KEPT (pick-wt=15): 233 [] -hBOOL(hAPP(A,c_Com_Ovname_Ovname__case(B,C,c_Com_Ovname_OLoc(D),t_a)))|hBOOL(hAPP(A,hAPP(C,D))).
% 99.67/99.87 Following clause subsumed by 233 during input processing: 0 [] -hBOOL(hAPP(A,c_Com_Ovname_Ovname__case(B,C,c_Com_Ovname_OLoc(D),t_a)))|hBOOL(hAPP(A,hAPP(C,D))).
% 99.67/99.87 ** KEPT (pick-wt=24): 235 [copy,234,flip.1] hAPP(hAPP(hAPP(c_Natural_Oupdate,c_Natural_Osko__Natural__Xevalc__elim__cases__3__1(A,B,C,D,E)),c_Com_Ovname_OLoc(A)),c_Natural_Ogetlocs(D,A))=E| -c_Natural_Oevalc(c_Com_Ocom_OLocal(A,B,C),D,E).
% 99.67/99.87 ** KEPT (pick-wt=26): 237 [copy,236,flip.1] hAPP(hAPP(hAPP(c_Natural_Oupdate,c_Natural_Osko__Natural__Xevaln__elim__cases__3__1(A,B,C,D,E,F)),c_Com_Ovname_OLoc(A)),c_Natural_Ogetlocs(E,A))=F| -c_Natural_Oevaln(c_Com_Ocom_OLocal(A,B,C),E,D,F).
% 99.67/99.87 ** KEPT (pick-wt=57): 239 [copy,238,flip.2] hAPP(A,hAPP(B,c_List_Osko__List__Xfoldl__apply__inv__1__1(A,B,C,D)))!=c_List_Osko__List__Xfoldl__apply__inv__1__1(A,B,C,D)|hAPP(A,c_List_Ofoldl(hAPP(hAPP(c_COMBB(tc_fun(E,D),tc_fun(E,C),C),hAPP(c_COMBB(D,C,E),B)),hAPP(hAPP(c_COMBB(D,tc_fun(E,D),C),F),A)),G,H,C,E))=c_List_Ofoldl(F,hAPP(A,G),H,D,E).
% 99.67/99.87 ** KEPT (pick-wt=47): 240 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OWhile(C,D),c_Hoare__Mirabelle_Opeek__and(B,c_Fun_Ocomp(c_Not,C,tc_bool,tc_bool,tc_Com_Ostate),E),E),tc_Hoare__Mirabelle_Otriple(E)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool))),E)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(B,C,E),D,B,E),tc_Hoare__Mirabelle_Otriple(E)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool))),E).
% 99.67/99.87 ** KEPT (pick-wt=27): 241 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OSKIP,C,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(C,v_sko__Hoare__Mirabelle__Xhoare__SkipI__1(B,C)),v_sko__Hoare__Mirabelle__Xhoare__SkipI__2(B,C))).
% 99.67/99.87 ** KEPT (pick-wt=48): 242 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OBODY(C),D,E),tc_Hoare__Mirabelle_Otriple(E)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool))),E)| -c_Hoare__Mirabelle_Ohoare__derivs(hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OBODY(C),D,E),tc_Hoare__Mirabelle_Otriple(E)),A),hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Option_Othe(c_Com_Obody(C),tc_Com_Ocom),D,E),tc_Hoare__Mirabelle_Otriple(E)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool))),E).
% 99.67/99.87 ** KEPT (pick-wt=38): 243 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OBODY(C),D,E),tc_Hoare__Mirabelle_Otriple(E)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool))),E)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Option_Othe(c_Com_Obody(C),tc_Com_Ocom),D,E),tc_Hoare__Mirabelle_Otriple(E)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(E),tc_bool))),E).
% 99.67/99.87 ** KEPT (pick-wt=65): 244 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,c_Com_Ocom_OCond(C,D,E),F,G),tc_Hoare__Mirabelle_Otriple(G)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(G),tc_bool))),G)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(B,c_Fun_Ocomp(c_Not,C,tc_bool,tc_bool,tc_Com_Ostate),G),E,F,G),tc_Hoare__Mirabelle_Otriple(G)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(G),tc_bool))),G)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(B,C,G),D,F,G),tc_Hoare__Mirabelle_Otriple(G)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(G),tc_bool))),G).
% 99.67/99.87 ** KEPT (pick-wt=56): 245 [] c_Lattices_Oboolean__algebra(hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(A,A),tc_fun(tc_fun(A,A),tc_fun(A,A)),A),c_COMBB(A,A,A)),B),A,tc_fun(A,A),tc_fun(A,A)),C),C,c_COMBC(D,A,A,tc_bool),c_COMBC(E,A,A,tc_bool),B,F,G,H,A)| -c_Lattices_Oboolean__algebra(I,C,D,E,F,B,H,G,A).
% 99.67/99.87 ** KEPT (pick-wt=44): 246 [] c_List_Olist__all2(A,B,c_List_Omap(C,D,E,F),G,F)| -c_List_Olist__all2(hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(F,tc_bool),tc_fun(tc_fun(E,F),tc_fun(E,tc_bool)),G),c_COMBB(F,tc_bool,E)),A),G,tc_fun(E,F),tc_fun(E,tc_bool)),C),B,D,G,E).
% 99.67/99.87 ** KEPT (pick-wt=44): 247 [] c_List_Olist__all2(hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(tc_fun(B,A),tc_fun(B,tc_bool)),C),c_COMBB(A,tc_bool,B)),D),C,tc_fun(B,A),tc_fun(B,tc_bool)),E),F,G,C,B)| -c_List_Olist__all2(D,F,c_List_Omap(E,G,B,A),C,A).
% 99.67/99.87 ** KEPT (pick-wt=29): 248 [] c_Natural_Oevalc(c_Com_Ocom_OLocal(A,B,C),D,hAPP(hAPP(hAPP(c_Natural_Oupdate,E),c_Com_Ovname_OLoc(A)),c_Natural_Ogetlocs(D,A)))| -c_Natural_Oevalc(C,hAPP(hAPP(hAPP(c_Natural_Oupdate,D),c_Com_Ovname_OLoc(A)),hAPP(B,D)),E).
% 99.67/99.87 ** KEPT (pick-wt=31): 249 [] c_Natural_Oevaln(c_Com_Ocom_OLocal(A,B,C),D,E,hAPP(hAPP(hAPP(c_Natural_Oupdate,F),c_Com_Ovname_OLoc(A)),c_Natural_Ogetlocs(D,A)))| -c_Natural_Oevaln(C,hAPP(hAPP(hAPP(c_Natural_Oupdate,D),c_Com_Ovname_OLoc(A)),hAPP(B,D)),E,F).
% 99.67/99.87 ** KEPT (pick-wt=11): 250 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 99.67/99.87 ** KEPT (pick-wt=11): 251 [] -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).
% 99.67/99.87 ** KEPT (pick-wt=29): 252 [] A=hAPP(c_Set_Oinsert(B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(c_Set_Oinsert(B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),tc_fun(C,tc_bool)).
% 99.67/99.87 ** KEPT (pick-wt=22): 253 [] hAPP(A,hAPP(c_Set_Oinsert(B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))))=B| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,I,J,C).
% 99.67/99.87 ** KEPT (pick-wt=22): 254 [] hAPP(A,hAPP(c_Set_Oinsert(B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))))=B| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,I,J,C).
% 99.67/99.87 ** KEPT (pick-wt=14): 255 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(hAPP(c_Set_Oinsert(B,A),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 99.67/99.87 ** KEPT (pick-wt=14): 256 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMin(hAPP(c_Set_Oinsert(B,A),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 99.67/99.87 ** KEPT (pick-wt=30): 257 [] hAPP(A,hAPP(c_Set_Oinsert(B,C),hAPP(c_Set_Oinsert(D,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))))=hAPP(hAPP(E,B),D)| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,C).
% 99.67/99.87 ** KEPT (pick-wt=30): 258 [] hAPP(A,hAPP(c_Set_Oinsert(B,C),hAPP(c_Set_Oinsert(D,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))))=hAPP(hAPP(E,B),D)| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,C).
% 99.67/99.87 ** KEPT (pick-wt=17): 259 [] A=B| -hBOOL(hAPP(c_Finite__Set_Ofold1Set(C,hAPP(c_Set_Oinsert(A,D),c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))),D),B)).
% 99.67/99.87 ** KEPT (pick-wt=23): 260 [] A=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(c_Set_Oinsert(B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),C)| -hBOOL(hAPP(hAPP(c_Set_Oinsert(B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),A)).
% 99.67/99.87 ** KEPT (pick-wt=15): 261 [] A=B| -hBOOL(c_in(A,hAPP(c_Set_Oinsert(B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),C)).
% 99.67/99.87 ** KEPT (pick-wt=14): 262 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMax(hAPP(c_Set_Oinsert(B,A),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 99.67/99.87 ** KEPT (pick-wt=15): 264 [copy,263,flip.2] -class_Orderings_Oorder(A)|hAPP(c_Set_Oinsert(B,A),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_SetInterval_Oord__class_OatLeastAtMost(B,B,A).
% 99.67/99.87 ** KEPT (pick-wt=15): 265 [] hAPP(c_Set_Oinsert(A,B),C)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))|hBOOL(c_in(A,C,B)).
% 99.67/99.87 ** KEPT (pick-wt=14): 266 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(hAPP(c_Set_Oinsert(B,A),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 99.67/99.87 ** KEPT (pick-wt=56): 267 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(E,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(A,B,D,C,G,E)))| -hBOOL(hAPP(hAPP(G,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(A,B,D,C)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(G,C,E,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.87 ** KEPT (pick-wt=54): 268 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(E,F),v_sko__Hoare__Mirabelle__Xconse_q12__3(B,G,D,E)))| -hBOOL(hAPP(hAPP(G,F),v_sko__Hoare__Mirabelle__Xconse_q12__2(B,G,D,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(G,C,E,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.87 ** KEPT (pick-wt=56): 269 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(E,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(A,B,D,C,G,E)))| -hBOOL(hAPP(hAPP(G,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(A,B,D,C)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(G,C,E,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.87 ** KEPT (pick-wt=50): 270 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(A,B,D,C,E,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.87 ** KEPT (pick-wt=44): 271 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(E,v_sko__Hoare__Mirabelle__Xconse_q2__1(D,E)),v_sko__Hoare__Mirabelle__Xconse_q2__2(D,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,E,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.87 ** KEPT (pick-wt=48): 272 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xconse_q12__1(B,E,D,F)),v_sko__Hoare__Mirabelle__Xconse_q12__2(B,E,D,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.87 ** KEPT (pick-wt=44): 273 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xconse_q1__1(B,E)),v_sko__Hoare__Mirabelle__Xconse_q1__2(B,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(E,C,D,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.87 ** KEPT (pick-wt=50): 274 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(A,B,D,C,E,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.87 ** KEPT (pick-wt=44): 275 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(E,v_sko__Hoare__Mirabelle__Xconse_q1__1(B,E)),v_sko__Hoare__Mirabelle__Xconse_q1__2(B,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(E,C,D,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.87 ** KEPT (pick-wt=48): 276 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xconse_q12__1(B,E,D,F)),v_sko__Hoare__Mirabelle__Xconse_q12__3(B,E,D,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.87 ** KEPT (pick-wt=44): 277 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xconse_q2__1(D,E)),v_sko__Hoare__Mirabelle__Xconse_q2__2(D,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(B,C,E,t_a),tc_Hoare__Mirab
% 99.67/99.87 Search stopped in tp_alloc by max_mem option.
% 99.67/99.87 elle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 99.67/99.87
% 99.67/99.87 Search stopped in tp_alloc by max_mem option.
% 99.67/99.87
% 99.67/99.87 ============ end of search ============
% 99.67/99.87
% 99.67/99.87 -------------- statistics -------------
% 99.67/99.87 clauses given 0
% 99.67/99.87 clauses generated 0
% 99.67/99.87 clauses kept 268
% 99.67/99.87 clauses forward subsumed 32
% 99.67/99.87 clauses back subsumed 0
% 99.67/99.87 Kbytes malloced 11718
% 99.67/99.87
% 99.67/99.87 ----------- times (seconds) -----------
% 99.67/99.87 user CPU time 0.06 (0 hr, 0 min, 0 sec)
% 99.67/99.87 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 99.67/99.87 wall-clock time 99 (0 hr, 1 min, 39 sec)
% 99.67/99.87
% 99.67/99.87 Process 11882 finished Wed Jul 27 06:31:01 2022
% 99.67/99.87 Otter interrupted
% 99.67/99.87 PROOF NOT FOUND
%------------------------------------------------------------------------------