%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SWV856-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Wed Jul 20 19:22:37 EDT 2022

% Result   : Unsatisfiable 9.28s 9.53s
% Output   : CNFRefutation 9.31s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
    hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)),
    input ).

fof(cls_ATP__Linkup_Oequal__imp__fequal_0_0,plain,
    ! [T_a,V_x] :
      ( hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_ATP__Linkup_Oequal__imp__fequal_0]) ).

cnf(clsarity_bool__HOL_Oord,axiom,
    class_HOL_Oord(tc_bool),
    input ).

fof(clsarity_bool__HOL_Oord_0,plain,
    ( class_HOL_Oord(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__HOL_Oord]) ).

cnf(clsarity_bool__HOL_Ominus,axiom,
    class_HOL_Ominus(tc_bool),
    input ).

fof(clsarity_bool__HOL_Ominus_0,plain,
    ( class_HOL_Ominus(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__HOL_Ominus]) ).

cnf(clsarity_bool__Orderings_Obot,axiom,
    class_Orderings_Obot(tc_bool),
    input ).

fof(clsarity_bool__Orderings_Obot_0,plain,
    ( class_Orderings_Obot(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Orderings_Obot]) ).

cnf(clsarity_bool__Orderings_Otop,axiom,
    class_Orderings_Otop(tc_bool),
    input ).

fof(clsarity_bool__Orderings_Otop_0,plain,
    ( class_Orderings_Otop(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Orderings_Otop]) ).

cnf(clsarity_bool__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_bool),
    input ).

fof(clsarity_bool__Orderings_Oorder_0,plain,
    ( class_Orderings_Oorder(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Orderings_Oorder]) ).

cnf(clsarity_bool__Lattices_Olattice,axiom,
    class_Lattices_Olattice(tc_bool),
    input ).

fof(clsarity_bool__Lattices_Olattice_0,plain,
    ( class_Lattices_Olattice(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Lattices_Olattice]) ).

cnf(clsarity_bool__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_bool),
    input ).

fof(clsarity_bool__Orderings_Opreorder_0,plain,
    ( class_Orderings_Opreorder(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Orderings_Opreorder]) ).

cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
    class_Finite__Set_Ofinite_Ofinite(tc_bool),
    input ).

fof(clsarity_bool__Finite__Set_Ofinite_Ofinite_0,plain,
    ( class_Finite__Set_Ofinite_Ofinite(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Finite__Set_Ofinite_Ofinite]) ).

cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    input ).

fof(clsarity_bool__Lattices_Obounded__lattice_0,plain,
    ( class_Lattices_Obounded__lattice(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Lattices_Obounded__lattice]) ).

cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
    class_Lattices_Odistrib__lattice(tc_bool),
    input ).

fof(clsarity_bool__Lattices_Odistrib__lattice_0,plain,
    ( class_Lattices_Odistrib__lattice(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Lattices_Odistrib__lattice]) ).

cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
    class_Lattices_Olower__semilattice(tc_bool),
    input ).

fof(clsarity_bool__Lattices_Olower__semilattice_0,plain,
    ( class_Lattices_Olower__semilattice(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Lattices_Olower__semilattice]) ).

cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    input ).

fof(clsarity_bool__Lattices_Oupper__semilattice_0,plain,
    ( class_Lattices_Oupper__semilattice(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Lattices_Oupper__semilattice]) ).

cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
    class_Complete__Lattice_Ocomplete__lattice(tc_bool),
    input ).

fof(clsarity_bool__Complete__Lattice_Ocomplete__lattice_0,plain,
    ( class_Complete__Lattice_Ocomplete__lattice(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Complete__Lattice_Ocomplete__lattice]) ).

cnf(clsarity_nat__HOL_Oord,axiom,
    class_HOL_Oord(tc_nat),
    input ).

fof(clsarity_nat__HOL_Oord_0,plain,
    ( class_HOL_Oord(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__HOL_Oord]) ).

cnf(clsarity_nat__HOL_Ominus,axiom,
    class_HOL_Ominus(tc_nat),
    input ).

fof(clsarity_nat__HOL_Ominus_0,plain,
    ( class_HOL_Ominus(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__HOL_Ominus]) ).

cnf(clsarity_nat__Orderings_Obot,axiom,
    class_Orderings_Obot(tc_nat),
    input ).

fof(clsarity_nat__Orderings_Obot_0,plain,
    ( class_Orderings_Obot(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Orderings_Obot]) ).

cnf(clsarity_nat__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_nat),
    input ).

fof(clsarity_nat__Orderings_Oorder_0,plain,
    ( class_Orderings_Oorder(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Orderings_Oorder]) ).

cnf(clsarity_nat__Lattices_Olattice,axiom,
    class_Lattices_Olattice(tc_nat),
    input ).

fof(clsarity_nat__Lattices_Olattice_0,plain,
    ( class_Lattices_Olattice(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Lattices_Olattice]) ).

cnf(clsarity_nat__Orderings_Olinorder,axiom,
    class_Orderings_Olinorder(tc_nat),
    input ).

fof(clsarity_nat__Orderings_Olinorder_0,plain,
    ( class_Orderings_Olinorder(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Orderings_Olinorder]) ).

cnf(clsarity_nat__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_nat),
    input ).

fof(clsarity_nat__Orderings_Opreorder_0,plain,
    ( class_Orderings_Opreorder(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Orderings_Opreorder]) ).

cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
    class_Lattices_Odistrib__lattice(tc_nat),
    input ).

fof(clsarity_nat__Lattices_Odistrib__lattice_0,plain,
    ( class_Lattices_Odistrib__lattice(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Lattices_Odistrib__lattice]) ).

cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
    class_Lattices_Olower__semilattice(tc_nat),
    input ).

fof(clsarity_nat__Lattices_Olower__semilattice_0,plain,
    ( class_Lattices_Olower__semilattice(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Lattices_Olower__semilattice]) ).

cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
    class_Lattices_Oupper__semilattice(tc_nat),
    input ).

fof(clsarity_nat__Lattices_Oupper__semilattice_0,plain,
    ( class_Lattices_Oupper__semilattice(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Lattices_Oupper__semilattice]) ).

cnf(cls_bot1E_0,axiom,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)),
    input ).

fof(cls_bot1E_0_0,plain,
    ! [T_a,V_x] :
      ( ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_bot1E_0]) ).

cnf(cls_bot__empty__eq_0,axiom,
    hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))),
    input ).

fof(cls_bot__empty__eq_0_0,plain,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)))
    | $false ),
    inference(orientation,[status(thm)],[cls_bot__empty__eq_0]) ).

cnf(cls_emptyE_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),
    input ).

fof(cls_emptyE_0_0,plain,
    ! [T_a,V_a] :
      ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))
      | $false ),
    inference(orientation,[status(thm)],[cls_emptyE_0]) ).

cnf(cls_empty__iff_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),
    input ).

fof(cls_empty__iff_0_0,plain,
    ! [T_a,V_c] :
      ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))
      | $false ),
    inference(orientation,[status(thm)],[cls_empty__iff_0]) ).

cnf(cls_ex__in__conv_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),
    input ).

fof(cls_ex__in__conv_0_0,plain,
    ! [T_a,V_x] :
      ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))
      | $false ),
    inference(orientation,[status(thm)],[cls_ex__in__conv_0]) ).

cnf(cls_singleton__iff_1,axiom,
    hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),
    input ).

fof(cls_singleton__iff_1_0,plain,
    ! [T_a,V_x] :
      ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)))
      | $false ),
    inference(orientation,[status(thm)],[cls_singleton__iff_1]) ).

cnf(cls_empty_0,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a),
    input ).

fof(cls_empty_0_0,plain,
    ! [T_a,V_G] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_empty_0]) ).

cnf(cls_fcomp__def_0,axiom,
    hAPP(c_Fun_Ofcomp(V_f,V_g,t_a,T_c,T_b),v_x) = hAPP(V_g,hAPP(V_f,v_x)),
    input ).

fof(cls_fcomp__def_0_0,plain,
    ! [T_b,T_c,V_f,V_g] :
      ( hAPP(c_Fun_Ofcomp(V_f,V_g,t_a,T_c,T_b),v_x) = hAPP(V_g,hAPP(V_f,v_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_fcomp__def_0]) ).

cnf(cls_id__def_0,axiom,
    hAPP(c_Fun_Oid(t_a),v_x) = v_x,
    input ).

fof(cls_id__def_0_0,plain,
    ( hAPP(c_Fun_Oid(t_a),v_x) = v_x
    | $false ),
    inference(orientation,[status(thm)],[cls_id__def_0]) ).

cnf(cls_o__def_0,axiom,
    hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x) = hAPP(V_f,hAPP(V_g,v_x)),
    input ).

fof(cls_o__def_0_0,plain,
    ! [T_b,T_c,V_f,V_g] :
      ( hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x) = hAPP(V_f,hAPP(V_g,v_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_o__def_0]) ).

cnf(cls_restrict__map__to__empty_0,axiom,
    hAPP(c_Map_Orestrict__map(V_m,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,T_b),v_x) = c_Option_Ooption_ONone(T_b),
    input ).

fof(cls_restrict__map__to__empty_0_0,plain,
    ! [T_b,V_m] :
      ( hAPP(c_Map_Orestrict__map(V_m,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,T_b),v_x) = c_Option_Ooption_ONone(T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_restrict__map__to__empty_0]) ).

cnf(cls_sup__Un__eq_0,axiom,
    hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),V_R)),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),V_S)),v_x) = hAPP(hAPP(c_in(t_a),v_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),V_R),V_S)),
    input ).

fof(cls_sup__Un__eq_0_0,plain,
    ! [V_R,V_S] :
      ( hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),V_R)),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),V_S)),v_x) = hAPP(hAPP(c_in(t_a),v_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),V_R),V_S))
      | $false ),
    inference(orientation,[status(thm)],[cls_sup__Un__eq_0]) ).

cnf(cls_inf__Int__eq_0,axiom,
    hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,tc_bool)),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),V_R)),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),V_S)),v_x) = hAPP(hAPP(c_in(t_a),v_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,tc_bool)),V_R),V_S)),
    input ).

fof(cls_inf__Int__eq_0_0,plain,
    ! [V_R,V_S] :
      ( hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,tc_bool)),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),V_R)),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),V_S)),v_x) = hAPP(hAPP(c_in(t_a),v_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,tc_bool)),V_R),V_S))
      | $false ),
    inference(orientation,[status(thm)],[cls_inf__Int__eq_0]) ).

cnf(cls_override__on__emptyset_0,axiom,
    c_Fun_Ooverride__on(V_f,V_g,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) = V_f,
    input ).

fof(cls_override__on__emptyset_0_0,plain,
    ! [T_a,T_b,V_f,V_g] :
      ( c_Fun_Ooverride__on(V_f,V_g,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) = V_f
      | $false ),
    inference(orientation,[status(thm)],[cls_override__on__emptyset_0]) ).

cnf(cls_empty__is__image_1,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a),
    input ).

fof(cls_empty__is__image_1_0,plain,
    ! [T_a,T_b,V_f] :
      ( c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_empty__is__image_1]) ).

cnf(cls_fold__graph_H_Ointros_I1_J_0,axiom,
    c_Nitpick_Ofold__graph_H(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b),
    input ).

fof(cls_fold__graph_H_Ointros_I1_J_0_0,plain,
    ! [T_a,T_b,V_f,V_z] :
      ( c_Nitpick_Ofold__graph_H(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_fold__graph_H_Ointros_I1_J_0]) ).

cnf(cls_fold__graph_OemptyI_0,axiom,
    c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b),
    input ).

fof(cls_fold__graph_OemptyI_0_0,plain,
    ! [T_a,T_b,V_f,V_z] :
      ( c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_fold__graph_OemptyI_0]) ).

cnf(cls_inj__on__empty_0,axiom,
    c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b),
    input ).

fof(cls_inj__on__empty_0_0,plain,
    ! [T_a,T_b,V_f] :
      ( c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_inj__on__empty_0]) ).

cnf(cls_image__empty_0,axiom,
    c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_image__empty_0_0,plain,
    ! [T_a,T_b,V_f] :
      ( c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_image__empty_0]) ).

cnf(cls_doubleton__eq__iff_4,axiom,
    c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),
    input ).

fof(cls_doubleton__eq__iff_4_0,plain,
    ! [T_a,V_x,V_xa] :
      ( c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_doubleton__eq__iff_4]) ).

cnf(cls_empty__subsetI_0,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_empty__subsetI_0_0,plain,
    ! [T_a,V_A] :
      ( c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_empty__subsetI_0]) ).

cnf(cls_insert__not__empty_0,axiom,
    c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_insert__not__empty_0_0,plain,
    ! [T_a,V_A,V_a] :
      ( c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__not__empty_0]) ).

cnf(cls_Image__empty_0,axiom,
    c_Relation_OImage(V_R,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Image__empty_0_0,plain,
    ! [T_a,T_b,V_R] :
      ( c_Relation_OImage(V_R,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Image__empty_0]) ).

cnf(cls_Int__empty__left_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Int__empty__left_0_0,plain,
    ! [T_a,V_B] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__empty__left_0]) ).

cnf(cls_Int__empty__right_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Int__empty__right_0_0,plain,
    ! [T_a,V_A] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__empty__right_0]) ).

cnf(cls_finite_OemptyI_0,axiom,
    c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),
    input ).

fof(cls_finite_OemptyI_0_0,plain,
    ! [T_a] :
      ( c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_finite_OemptyI_0]) ).

cnf(cls_Diff__empty_0,axiom,
    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,
    input ).

fof(cls_Diff__empty_0_0,plain,
    ! [T_a,V_A] :
      ( 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
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__empty_0]) ).

cnf(cls_Diff__cancel_0,axiom,
    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)),
    input ).

fof(cls_Diff__cancel_0_0,plain,
    ! [T_a,V_A] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__cancel_0]) ).

cnf(cls_not__psubset__empty_0,axiom,
    ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_not__psubset__empty_0_0,plain,
    ! [T_a,V_A] :
      ( ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_not__psubset__empty_0]) ).

cnf(cls_Un__empty__left_0,axiom,
    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,
    input ).

fof(cls_Un__empty__left_0_0,plain,
    ! [T_a,V_B] :
      ( 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
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__empty__left_0]) ).

cnf(cls_Un__empty__right_0,axiom,
    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,
    input ).

fof(cls_Un__empty__right_0_0,plain,
    ! [T_a,V_A] :
      ( 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
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__empty__right_0]) ).

cnf(cls_empty__Diff_0,axiom,
    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)),
    input ).

fof(cls_empty__Diff_0_0,plain,
    ! [T_a,V_A] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_empty__Diff_0]) ).

cnf(cls_UNIV__not__empty_0,axiom,
    c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_UNIV__not__empty_0_0,plain,
    ! [T_a] :
      ( c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_UNIV__not__empty_0]) ).

cnf(cls_empty__fold1SetE_0,axiom,
    ~ c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x,T_a),
    input ).

fof(cls_empty__fold1SetE_0_0,plain,
    ! [T_a,V_f,V_x] :
      ( ~ c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_empty__fold1SetE_0]) ).

cnf(cls_max__extp_Ocases_2,axiom,
    ~ c_Wellfounded_Omax__extp(V_R,V_a1,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),
    input ).

fof(cls_max__extp_Ocases_2_0,plain,
    ! [V_R,V_a1] :
      ( ~ c_Wellfounded_Omax__extp(V_R,V_a1,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_max__extp_Ocases_2]) ).

cnf(cls_subset__empty_1,axiom,
    c_lessequals(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)),
    input ).

fof(cls_subset__empty_1_0,plain,
    ! [T_a] :
      ( c_lessequals(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))
      | $false ),
    inference(orientation,[status(thm)],[cls_subset__empty_1]) ).

cnf(cls_fold__empty_0,axiom,
    c_Finite__Set_Ofold(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = V_z,
    input ).

fof(cls_fold__empty_0_0,plain,
    ! [T_a,T_b,V_f,V_z] :
      ( c_Finite__Set_Ofold(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = V_z
      | $false ),
    inference(orientation,[status(thm)],[cls_fold__empty_0]) ).

cnf(cls_empty__not__insert_0,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a),
    input ).

fof(cls_empty__not__insert_0_0,plain,
    ! [T_a,V_A,V_a] :
      ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_empty__not__insert_0]) ).

cnf(cls_fold__image__empty_0,axiom,
    c_Finite__Set_Ofold__image(V_f,V_g,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = V_z,
    input ).

fof(cls_fold__image__empty_0_0,plain,
    ! [T_a,T_b,V_f,V_g,V_z] :
      ( c_Finite__Set_Ofold__image(V_f,V_g,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = V_z
      | $false ),
    inference(orientation,[status(thm)],[cls_fold__image__empty_0]) ).

cnf(cls_total__on__empty_0,axiom,
    c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_r,T_a),
    input ).

fof(cls_total__on__empty_0_0,plain,
    ! [T_a,V_r] :
      ( c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_r,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_total__on__empty_0]) ).

cnf(cls_Un__empty_2,axiom,
    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)),
    input ).

fof(cls_Un__empty_2_0,plain,
    ! [T_a] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__empty_2]) ).

cnf(cls_vimage__empty_0,axiom,
    c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_vimage__empty_0_0,plain,
    ! [T_a,T_b,V_f] :
      ( c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__empty_0]) ).

cnf(cls_vimage__singleton__eq_1,axiom,
    hBOOL(hAPP(hAPP(c_in(T_aa),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a))),
    input ).

fof(cls_vimage__singleton__eq_1_0,plain,
    ! [T_a,T_aa,V_a,V_f] :
      ( hBOOL(hAPP(hAPP(c_in(T_aa),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a)))
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__singleton__eq_1]) ).

cnf(cls_fcomp__assoc_0,axiom,
    c_Fun_Ofcomp(c_Fun_Ofcomp(V_f,V_g,T_a,T_d,T_c),V_h,T_a,T_c,T_b) = c_Fun_Ofcomp(V_f,c_Fun_Ofcomp(V_g,V_h,T_d,T_c,T_b),T_a,T_d,T_b),
    input ).

fof(cls_fcomp__assoc_0_0,plain,
    ! [T_a,T_b,T_c,T_d,V_f,V_g,V_h] :
      ( c_Fun_Ofcomp(c_Fun_Ofcomp(V_f,V_g,T_a,T_d,T_c),V_h,T_a,T_c,T_b) = c_Fun_Ofcomp(V_f,c_Fun_Ofcomp(V_g,V_h,T_d,T_c,T_b),T_a,T_d,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_fcomp__assoc_0]) ).

cnf(cls_Collect__mem__eq_0,axiom,
    c_Collect(hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_A),T_a) = V_A,
    input ).

fof(cls_Collect__mem__eq_0_0,plain,
    ! [T_a,V_A] :
      ( c_Collect(hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_A),T_a) = V_A
      | $false ),
    inference(orientation,[status(thm)],[cls_Collect__mem__eq_0]) ).

cnf(cls_image__Un_0,axiom,
    c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)),
    input ).

fof(cls_image__Un_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_image__Un_0]) ).

cnf(cls_singleton__conv2_0,axiom,
    c_Collect(hAPP(c_fequal(T_a),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),
    input ).

fof(cls_singleton__conv2_0_0,plain,
    ! [T_a,V_a] :
      ( c_Collect(hAPP(c_fequal(T_a),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_singleton__conv2_0]) ).

cnf(cls_UN__Un_0,axiom,
    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))),
    input ).

fof(cls_UN__Un_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_M] :
      ( 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)))
      | $false ),
    inference(orientation,[status(thm)],[cls_UN__Un_0]) ).

cnf(cls_Diff__Int_0,axiom,
    c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))),
    input ).

fof(cls_Diff__Int_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__Int_0]) ).

cnf(cls_vimage__insert_0,axiom,
    c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)),
    input ).

fof(cls_vimage__insert_0_0,plain,
    ! [T_a,T_b,V_B,V_a,V_f] :
      ( c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b))
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__insert_0]) ).

cnf(cls_Int__Diff_0,axiom,
    c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))),
    input ).

fof(cls_Int__Diff_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)))
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__Diff_0]) ).

cnf(cls_singleton__conv_0,axiom,
    c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),
    input ).

fof(cls_singleton__conv_0_0,plain,
    ! [T_a,V_a] :
      ( c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_singleton__conv_0]) ).

cnf(cls_Diff__Un_0,axiom,
    c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))),
    input ).

fof(cls_Diff__Un_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__Un_0]) ).

cnf(cls_subset__refl_0,axiom,
    c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_subset__refl_0_0,plain,
    ! [T_a,V_A] :
      ( c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_subset__refl_0]) ).

cnf(cls_equalityE_0,axiom,
    c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_equalityE_0_0,plain,
    ! [T_a,V_x] :
      ( c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_equalityE_0]) ).

cnf(cls_Int__absorb_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A,
    input ).

fof(cls_Int__absorb_0_0,plain,
    ! [T_a,V_A] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__absorb_0]) ).

cnf(cls_n__not__Suc__n_0,axiom,
    V_n != c_Suc(V_n),
    input ).

fof(cls_n__not__Suc__n_0_0,plain,
    ! [V_n] :
      ( V_n != c_Suc(V_n)
      | $false ),
    inference(orientation,[status(thm)],[cls_n__not__Suc__n_0]) ).

cnf(cls_Suc__n__not__n_0,axiom,
    c_Suc(V_n) != V_n,
    input ).

fof(cls_Suc__n__not__n_0_0,plain,
    ! [V_n] :
      ( c_Suc(V_n) != V_n
      | $false ),
    inference(orientation,[status(thm)],[cls_Suc__n__not__n_0]) ).

cnf(cls_image__compose_0,axiom,
    c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a),
    input ).

fof(cls_image__compose_0_0,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_r] :
      ( c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_image__compose_0]) ).

cnf(cls_id__fcomp_0,axiom,
    c_Fun_Ofcomp(c_Fun_Oid(T_a),V_g,T_a,T_a,T_b) = V_g,
    input ).

fof(cls_id__fcomp_0_0,plain,
    ! [T_a,T_b,V_g] :
      ( c_Fun_Ofcomp(c_Fun_Oid(T_a),V_g,T_a,T_a,T_b) = V_g
      | $false ),
    inference(orientation,[status(thm)],[cls_id__fcomp_0]) ).

cnf(cls_fcomp__id_0,axiom,
    c_Fun_Ofcomp(V_f,c_Fun_Oid(T_b),T_a,T_b,T_b) = V_f,
    input ).

fof(cls_fcomp__id_0_0,plain,
    ! [T_a,T_b,V_f] :
      ( c_Fun_Ofcomp(V_f,c_Fun_Oid(T_b),T_a,T_b,T_b) = V_f
      | $false ),
    inference(orientation,[status(thm)],[cls_fcomp__id_0]) ).

cnf(cls_Int__left__absorb_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),
    input ).

fof(cls_Int__left__absorb_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__left__absorb_0]) ).

cnf(cls_insert__code_1,axiom,
    hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)),
    input ).

fof(cls_insert__code_1_0,plain,
    ! [T_a,V_A,V_x] :
      ( hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__code_1]) ).

cnf(cls_Un__Int__distrib2_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)),
    input ).

fof(cls_Un__Int__distrib2_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__Int__distrib2_0]) ).

cnf(cls_Un__Int__distrib_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)),
    input ).

fof(cls_Un__Int__distrib_0_0,plain,
    ! [T_a,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_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__Int__distrib_0]) ).

cnf(cls_insertCI_1,axiom,
    hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))),
    input ).

fof(cls_insertCI_1_0,plain,
    ! [T_a,V_B,V_x] :
      ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a)))
      | $false ),
    inference(orientation,[status(thm)],[cls_insertCI_1]) ).

cnf(cls_insertI1_0,axiom,
    hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))),
    input ).

fof(cls_insertI1_0_0,plain,
    ! [T_a,V_B,V_a] :
      ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a)))
      | $false ),
    inference(orientation,[status(thm)],[cls_insertI1_0]) ).

cnf(cls_insert__iff_1,axiom,
    hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))),
    input ).

fof(cls_insert__iff_1_0,plain,
    ! [T_a,V_A,V_x] :
      ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a)))
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__iff_1]) ).

cnf(cls_UNIV__I_0,axiom,
    hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))),
    input ).

fof(cls_UNIV__I_0_0,plain,
    ! [T_a,V_x] :
      ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))))
      | $false ),
    inference(orientation,[status(thm)],[cls_UNIV__I_0]) ).

cnf(cls_vimage__Int_0,axiom,
    c_Set_Ovimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)),
    input ).

fof(cls_vimage__Int_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( c_Set_Ovimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b))
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__Int_0]) ).

cnf(cls_id__apply_0,axiom,
    hAPP(c_Fun_Oid(T_a),V_x) = V_x,
    input ).

fof(cls_id__apply_0_0,plain,
    ! [T_a,V_x] :
      ( hAPP(c_Fun_Oid(T_a),V_x) = V_x
      | $false ),
    inference(orientation,[status(thm)],[cls_id__apply_0]) ).

cnf(cls_vimage__Un_0,axiom,
    c_Set_Ovimage(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)),
    input ).

fof(cls_vimage__Un_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( c_Set_Ovimage(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b))
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__Un_0]) ).

cnf(cls_Diff__disjoint_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__disjoint_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__disjoint_0]) ).

cnf(cls_Un__left__absorb_0,axiom,
    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),
    input ).

fof(cls_Un__left__absorb_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__left__absorb_0]) ).

cnf(cls_insert__is__Un_0,axiom,
    c_Set_Oinsert(V_a,V_A,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_A),
    input ).

fof(cls_insert__is__Un_0_0,plain,
    ! [T_a,V_A,V_a] :
      ( c_Set_Oinsert(V_a,V_A,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_A)
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__is__Un_0]) ).

cnf(cls_image__id_0,axiom,
    c_Set_Oimage(c_Fun_Oid(T_a),V_Y,T_a,T_a) = V_Y,
    input ).

fof(cls_image__id_0_0,plain,
    ! [T_a,V_Y] :
      ( c_Set_Oimage(c_Fun_Oid(T_a),V_Y,T_a,T_a) = V_Y
      | $false ),
    inference(orientation,[status(thm)],[cls_image__id_0]) ).

cnf(cls_Un__commute_0,axiom,
    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),
    input ).

fof(cls_Un__commute_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__commute_0]) ).

cnf(cls_insert__def_0,axiom,
    c_Set_Oinsert(V_a,V_B,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a)),V_B),
    input ).

fof(cls_insert__def_0_0,plain,
    ! [T_a,V_B,V_a] :
      ( c_Set_Oinsert(V_a,V_B,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a)),V_B)
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__def_0]) ).

cnf(cls_vimage__compose_0,axiom,
    c_Set_Ovimage(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_x,T_a,T_b) = c_Set_Ovimage(V_f,c_Set_Ovimage(V_g,V_x,T_c,T_b),T_a,T_c),
    input ).

fof(cls_vimage__compose_0_0,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_x] :
      ( c_Set_Ovimage(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_x,T_a,T_b) = c_Set_Ovimage(V_f,c_Set_Ovimage(V_g,V_x,T_c,T_b),T_a,T_c)
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__compose_0]) ).

cnf(cls_Un__Diff_0,axiom,
    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))),
    input ).

fof(cls_Un__Diff_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( 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)))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__Diff_0]) ).

cnf(cls_vimage__id_0,axiom,
    c_Set_Ovimage(c_Fun_Oid(T_a),V_A,T_a,T_a) = V_A,
    input ).

fof(cls_vimage__id_0_0,plain,
    ! [T_a,V_A] :
      ( c_Set_Ovimage(c_Fun_Oid(T_a),V_A,T_a,T_a) = V_A
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__id_0]) ).

cnf(cls_UN__extend__simps_I1_J_0,axiom,
    c_Set_Oinsert(V_a,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),
    input ).

fof(cls_UN__extend__simps_I1_J_0_0,plain,
    ! [T_a,T_b,V_B,V_a] :
      ( c_Set_Oinsert(V_a,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_UN__extend__simps_I1_J_0]) ).

cnf(cls_o__assoc_0,axiom,
    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),
    input ).

fof(cls_o__assoc_0_0,plain,
    ! [T_a,T_b,T_c,T_d,V_f,V_g,V_h] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_o__assoc_0]) ).

cnf(cls_subset__UNIV_0,axiom,
    c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_subset__UNIV_0_0,plain,
    ! [T_a,V_A] :
      ( c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_subset__UNIV_0]) ).

cnf(cls_Int__lower2_0,axiom,
    c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_B,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Int__lower2_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_B,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__lower2_0]) ).

cnf(cls_Int__lower1_0,axiom,
    c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_A,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Int__lower1_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_A,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__lower1_0]) ).

cnf(cls_fcomp__apply_0,axiom,
    hAPP(c_Fun_Ofcomp(V_f,V_g,T_b,T_c,T_a),V_x) = hAPP(V_g,hAPP(V_f,V_x)),
    input ).

fof(cls_fcomp__apply_0_0,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_x] :
      ( hAPP(c_Fun_Ofcomp(V_f,V_g,T_b,T_c,T_a),V_x) = hAPP(V_g,hAPP(V_f,V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_fcomp__apply_0]) ).

cnf(cls_Diff__UNIV_0,axiom,
    c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__UNIV_0_0,plain,
    ! [T_a,V_A] :
      ( c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__UNIV_0]) ).

cnf(cls_image__insert_0,axiom,
    c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a),
    input ).

fof(cls_image__insert_0_0,plain,
    ! [T_a,T_b,V_B,V_a,V_f] :
      ( c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_image__insert_0]) ).

cnf(cls_fold1Set__sing_1,axiom,
    c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x,T_a),
    input ).

fof(cls_fold1Set__sing_1_0,plain,
    ! [T_a,V_f,V_x] :
      ( c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_fold1Set__sing_1]) ).

cnf(cls_UN__insert_0,axiom,
    c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool)) = 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))),
    input ).

fof(cls_UN__insert_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_a] :
      ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool)) = 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)))
      | $false ),
    inference(orientation,[status(thm)],[cls_UN__insert_0]) ).

cnf(cls_Un__Diff__Int_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = V_A,
    input ).

fof(cls_Un__Diff__Int_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = V_A
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__Diff__Int_0]) ).

cnf(cls_top1I_0,axiom,
    hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)),
    input ).

fof(cls_top1I_0_0,plain,
    ! [T_a,V_x] :
      ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_top1I_0]) ).

cnf(cls_psubset__eq_1,axiom,
    ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_psubset__eq_1_0,plain,
    ! [T_a,V_x] :
      ( ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_psubset__eq_1]) ).

cnf(cls_Diff__Int2_0,axiom,
    c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),V_B,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__Int2_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),V_B,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__Int2_0]) ).

cnf(cls_image__vimage__eq_0,axiom,
    c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)),
    input ).

fof(cls_image__vimage__eq_0_0,plain,
    ! [T_a,T_b,V_A,V_f] :
      ( c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_image__vimage__eq_0]) ).

cnf(cls_Int__UNIV__right_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = V_A,
    input ).

fof(cls_Int__UNIV__right_0_0,plain,
    ! [T_a,V_A] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = V_A
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__UNIV__right_0]) ).

cnf(cls_Int__UNIV__left_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))),V_B) = V_B,
    input ).

fof(cls_Int__UNIV__left_0_0,plain,
    ! [T_a,V_B] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))),V_B) = V_B
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__UNIV__left_0]) ).

cnf(cls_Diff__Int__distrib2_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__Int__distrib2_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__Int__distrib2_0]) ).

cnf(cls_Diff__Int__distrib_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_B),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__Int__distrib_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_B),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__Int__distrib_0]) ).

cnf(cls_UN__extend__simps_I3_J_0,axiom,
    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,
    input ).

fof(cls_UN__extend__simps_I3_J_0_0,plain,
    ! [T_a,T_b,V_A,V_B] :
      ( 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
      | $false ),
    inference(orientation,[status(thm)],[cls_UN__extend__simps_I3_J_0]) ).

cnf(cls_UN__extend__simps_I2_J_0,axiom,
    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,
    input ).

fof(cls_UN__extend__simps_I2_J_0_0,plain,
    ! [T_a,T_b,V_A,V_B] :
      ( 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
      | $false ),
    inference(orientation,[status(thm)],[cls_UN__extend__simps_I2_J_0]) ).

cnf(cls_restrict__restrict_0,axiom,
    c_Map_Orestrict__map(c_Map_Orestrict__map(V_m,V_A,T_a,T_b),V_B,T_a,T_b) = c_Map_Orestrict__map(V_m,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b),
    input ).

fof(cls_restrict__restrict_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_m] :
      ( c_Map_Orestrict__map(c_Map_Orestrict__map(V_m,V_A,T_a,T_b),V_B,T_a,T_b) = c_Map_Orestrict__map(V_m,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_restrict__restrict_0]) ).

cnf(cls_Int__left__commute_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)),
    input ).

fof(cls_Int__left__commute_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C))
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__left__commute_0]) ).

cnf(cls_Int__assoc_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)),
    input ).

fof(cls_Int__assoc_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__assoc_0]) ).

cnf(cls_Un__Diff__cancel_0,axiom,
    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),
    input ).

fof(cls_Un__Diff__cancel_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__Diff__cancel_0]) ).

cnf(cls_Un__Diff__cancel2_0,axiom,
    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),
    input ).

fof(cls_Un__Diff__cancel2_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__Diff__cancel2_0]) ).

cnf(cls_image__constant__conv_0,axiom,
    c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_image__constant__conv_0_0,plain,
    ! [T_a,T_b,V_c] :
      ( c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_image__constant__conv_0]) ).

cnf(cls_Un__Int__crazy_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)),
    input ).

fof(cls_Un__Int__crazy_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__Int__crazy_0]) ).

cnf(cls_insert__Diff__single_0,axiom,
    c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a),
    input ).

fof(cls_insert__Diff__single_0_0,plain,
    ! [T_a,V_A,V_a] :
      ( c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__Diff__single_0]) ).

cnf(cls_Diff__subset_0,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__subset_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__subset_0]) ).

cnf(cls_Int__commute_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A),
    input ).

fof(cls_Int__commute_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A)
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__commute_0]) ).

cnf(cls_Un__upper1_0,axiom,
    c_lessequals(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)),
    input ).

fof(cls_Un__upper1_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_lessequals(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))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__upper1_0]) ).

cnf(cls_Un__upper2_0,axiom,
    c_lessequals(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)),
    input ).

fof(cls_Un__upper2_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_lessequals(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))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__upper2_0]) ).

cnf(cls_Un__assoc_0,axiom,
    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)),
    input ).

fof(cls_Un__assoc_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__assoc_0]) ).

cnf(cls_Un__left__commute_0,axiom,
    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)),
    input ).

fof(cls_Un__left__commute_0_0,plain,
    ! [T_a,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)) = 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__left__commute_0]) ).

cnf(cls_image__diff__subset_0,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_image__diff__subset_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_image__diff__subset_0]) ).

cnf(cls_rangeI_0,axiom,
    hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a))),
    input ).

fof(cls_rangeI_0_0,plain,
    ! [T_a,T_b,V_f,V_x] :
      ( hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)))
      | $false ),
    inference(orientation,[status(thm)],[cls_rangeI_0]) ).

cnf(cls_Diff__idemp_0,axiom,
    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)),
    input ).

fof(cls_Diff__idemp_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__idemp_0]) ).

cnf(cls_COMBK__def_0,axiom,
    hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P,
    input ).

fof(cls_COMBK__def_0_0,plain,
    ! [T_a,T_b,V_P,V_Q] :
      ( hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P
      | $false ),
    inference(orientation,[status(thm)],[cls_COMBK__def_0]) ).

cnf(cls_COMBC__def_0,axiom,
    hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q),
    input ).

fof(cls_COMBC__def_0_0,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q)
      | $false ),
    inference(orientation,[status(thm)],[cls_COMBC__def_0]) ).

cnf(cls_INT__extend__simps_I4_J_0,axiom,
    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,
    input ).

fof(cls_INT__extend__simps_I4_J_0_0,plain,
    ! [T_a,T_b,V_A,V_B] :
      ( 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
      | $false ),
    inference(orientation,[status(thm)],[cls_INT__extend__simps_I4_J_0]) ).

cnf(cls_insert__commute_0,axiom,
    c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a),
    input ).

fof(cls_insert__commute_0_0,plain,
    ! [T_a,V_A,V_x,V_y] :
      ( c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__commute_0]) ).

cnf(cls_inj__on__id_0,axiom,
    c_Fun_Oinj__on(c_Fun_Oid(T_a),V_A,T_a,T_a),
    input ).

fof(cls_inj__on__id_0_0,plain,
    ! [T_a,V_A] :
      ( c_Fun_Oinj__on(c_Fun_Oid(T_a),V_A,T_a,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_inj__on__id_0]) ).

cnf(cls_Image__Un_0,axiom,
    c_Relation_OImage(V_R,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Relation_OImage(V_R,V_A,T_b,T_a)),c_Relation_OImage(V_R,V_B,T_b,T_a)),
    input ).

fof(cls_Image__Un_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_R] :
      ( c_Relation_OImage(V_R,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Relation_OImage(V_R,V_A,T_b,T_a)),c_Relation_OImage(V_R,V_B,T_b,T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_Image__Un_0]) ).

cnf(cls_Un__absorb_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A,
    input ).

fof(cls_Un__absorb_0_0,plain,
    ! [T_a,V_A] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__absorb_0]) ).

cnf(cls_id__o_0,axiom,
    c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a) = V_g,
    input ).

fof(cls_id__o_0_0,plain,
    ! [T_a,T_b,V_g] :
      ( c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a) = V_g
      | $false ),
    inference(orientation,[status(thm)],[cls_id__o_0]) ).

cnf(cls_o__id_0,axiom,
    c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a) = V_f,
    input ).

fof(cls_o__id_0_0,plain,
    ! [T_a,T_b,V_f] :
      ( c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a) = V_f
      | $false ),
    inference(orientation,[status(thm)],[cls_o__id_0]) ).

cnf(cls_Int__Un__distrib_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)),
    input ).

fof(cls_Int__Un__distrib_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C))
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__Un__distrib_0]) ).

cnf(cls_Int__Un__distrib2_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)),
    input ).

fof(cls_Int__Un__distrib2_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A))
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__Un__distrib2_0]) ).

cnf(cls_o__eq__dest__lhs_0,axiom,
    hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v),
    input ).

fof(cls_o__eq__dest__lhs_0_0,plain,
    ! [T_a,T_b,T_c,V_a,V_b,V_v] :
      ( hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) = hAPP(V_a,hAPP(V_b,V_v))
      | $false ),
    inference(orientation,[status(thm)],[cls_o__eq__dest__lhs_0]) ).

cnf(cls_o__apply_0,axiom,
    hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)),
    input ).

fof(cls_o__apply_0_0,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_x] :
      ( hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_o__apply_0]) ).

cnf(cls_Image__Int__subset_0,axiom,
    c_lessequals(c_Relation_OImage(V_R,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Relation_OImage(V_R,V_A,T_b,T_a)),c_Relation_OImage(V_R,V_B,T_b,T_a)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Image__Int__subset_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_R] :
      ( c_lessequals(c_Relation_OImage(V_R,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Relation_OImage(V_R,V_A,T_b,T_a)),c_Relation_OImage(V_R,V_B,T_b,T_a)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Image__Int__subset_0]) ).

cnf(cls_image__Int__subset_0,axiom,
    c_lessequals(c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_image__Int__subset_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( c_lessequals(c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_image__Int__subset_0]) ).

cnf(cls_K__record__comp_0,axiom,
    hAPP(c_Fun_Ocomp(c_COMBK(V_c,T_b,T_c),V_f,T_c,T_b,t_a),v_x) = V_c,
    input ).

fof(cls_K__record__comp_0_0,plain,
    ! [T_b,T_c,V_c,V_f] :
      ( hAPP(c_Fun_Ocomp(c_COMBK(V_c,T_b,T_c),V_f,T_c,T_b,t_a),v_x) = V_c
      | $false ),
    inference(orientation,[status(thm)],[cls_K__record__comp_0]) ).

cnf(cls_subset__insertI_0,axiom,
    c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_subset__insertI_0_0,plain,
    ! [T_a,V_B,V_a] :
      ( c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_subset__insertI_0]) ).

cnf(cls_insert__absorb2_0,axiom,
    c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a),
    input ).

fof(cls_insert__absorb2_0_0,plain,
    ! [T_a,V_A,V_x] :
      ( c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__absorb2_0]) ).

cnf(cls_insert__inter__insert_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_A,T_a)),c_Set_Oinsert(V_a,V_B,T_a)) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a),
    input ).

fof(cls_insert__inter__insert_0_0,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_A,T_a)),c_Set_Oinsert(V_a,V_B,T_a)) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__inter__insert_0]) ).

cnf(cls_Diff__insert2_0,axiom,
    c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__insert2_0_0,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__insert2_0]) ).

cnf(cls_Diff__insert_0,axiom,
    c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__insert_0_0,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__insert_0]) ).

cnf(cls_Un__UNIV__right_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Un__UNIV__right_0_0,plain,
    ! [T_a,V_A] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__UNIV__right_0]) ).

cnf(cls_Un__UNIV__left_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))),V_B) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Un__UNIV__left_0_0,plain,
    ! [T_a,V_B] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))),V_B) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__UNIV__left_0]) ).

cnf(cls_vimage__UNIV_0,axiom,
    c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_vimage__UNIV_0_0,plain,
    ! [T_a,T_b,V_f] :
      ( c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__UNIV_0]) ).

cnf(cls_Collect__def_0,axiom,
    c_Collect(V_P,T_a) = V_P,
    input ).

fof(cls_Collect__def_0_0,plain,
    ! [T_a,V_P] :
      ( c_Collect(V_P,T_a) = V_P
      | $false ),
    inference(orientation,[status(thm)],[cls_Collect__def_0]) ).

cnf(cls_image__vimage__subset_0,axiom,
    c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_image__vimage__subset_0_0,plain,
    ! [T_a,T_b,V_A,V_f] :
      ( c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_image__vimage__subset_0]) ).

cnf(cls_vimage__Diff_0,axiom,
    c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_vimage__Diff_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__Diff_0]) ).

cnf(cls_Un__insert__right_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a),
    input ).

fof(cls_Un__insert__right_0_0,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__insert__right_0]) ).

cnf(cls_Un__insert__left_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),T_a),
    input ).

fof(cls_Un__insert__left_0_0,plain,
    ! [T_a,V_B,V_C,V_a] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__insert__left_0]) ).

fof(def_lhs_atom1,axiom,
    ! [V_a,V_C,V_B,T_a] :
      ( lhs_atom1(V_a,V_C,V_B,T_a)
    <=> hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [T_a,V_B,V_C,V_a] :
      ( lhs_atom1(V_a,V_C,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__insert__left_0_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [V_a,V_B,V_A,T_a] :
      ( lhs_atom2(V_a,V_B,V_A,T_a)
    <=> hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( lhs_atom2(V_a,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__insert__right_0_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [V_f,V_B,V_A,T_b,T_a] :
      ( lhs_atom3(V_f,V_B,V_A,T_b,T_a)
    <=> c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( lhs_atom3(V_f,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__Diff_0_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ! [V_f,V_A,T_b,T_a] :
      ( lhs_atom4(V_f,V_A,T_b,T_a)
    <=> c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ! [T_a,T_b,V_A,V_f] :
      ( lhs_atom4(V_f,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__vimage__subset_0_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ! [V_P,T_a] :
      ( lhs_atom5(V_P,T_a)
    <=> c_Collect(V_P,T_a) = V_P ),
    inference(definition,[],]) ).

fof(to_be_clausified_4,plain,
    ! [T_a,V_P] :
      ( lhs_atom5(V_P,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Collect__def_0_0,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ! [V_f,T_b,T_a] :
      ( lhs_atom6(V_f,T_b,T_a)
    <=> c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_5,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom6(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__UNIV_0_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ! [V_B,T_a] :
      ( lhs_atom7(V_B,T_a)
    <=> hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))),V_B) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_6,plain,
    ! [T_a,V_B] :
      ( lhs_atom7(V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__UNIV__left_0_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ! [V_A,T_a] :
      ( lhs_atom8(V_A,T_a)
    <=> hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_7,plain,
    ! [T_a,V_A] :
      ( lhs_atom8(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__UNIV__right_0_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ! [V_a,V_B,V_A,T_a] :
      ( lhs_atom9(V_a,V_B,V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_8,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( lhs_atom9(V_a,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__insert_0_0,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ! [V_a,V_B,V_A,T_a] :
      ( lhs_atom10(V_a,V_B,V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_9,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( lhs_atom10(V_a,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__insert2_0_0,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ! [V_a,V_B,V_A,T_a] :
      ( lhs_atom11(V_a,V_B,V_A,T_a)
    <=> hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_A,T_a)),c_Set_Oinsert(V_a,V_B,T_a)) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_10,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( lhs_atom11(V_a,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__inter__insert_0_0,def_lhs_atom11]) ).

fof(def_lhs_atom12,axiom,
    ! [V_x,V_A,T_a] :
      ( lhs_atom12(V_x,V_A,T_a)
    <=> c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_11,plain,
    ! [T_a,V_A,V_x] :
      ( lhs_atom12(V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__absorb2_0_0,def_lhs_atom12]) ).

fof(def_lhs_atom13,axiom,
    ! [V_a,V_B,T_a] :
      ( lhs_atom13(V_a,V_B,T_a)
    <=> c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_12,plain,
    ! [T_a,V_B,V_a] :
      ( lhs_atom13(V_a,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__insertI_0_0,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ! [V_f,V_c,T_c,T_b] :
      ( lhs_atom14(V_f,V_c,T_c,T_b)
    <=> hAPP(c_Fun_Ocomp(c_COMBK(V_c,T_b,T_c),V_f,T_c,T_b,t_a),v_x) = V_c ),
    inference(definition,[],]) ).

fof(to_be_clausified_13,plain,
    ! [T_b,T_c,V_c,V_f] :
      ( lhs_atom14(V_f,V_c,T_c,T_b)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_K__record__comp_0_0,def_lhs_atom14]) ).

fof(def_lhs_atom15,axiom,
    ! [V_f,V_B,V_A,T_b,T_a] :
      ( lhs_atom15(V_f,V_B,V_A,T_b,T_a)
    <=> c_lessequals(c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_14,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( lhs_atom15(V_f,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__Int__subset_0_0,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ! [V_R,V_B,V_A,T_b,T_a] :
      ( lhs_atom16(V_R,V_B,V_A,T_b,T_a)
    <=> c_lessequals(c_Relation_OImage(V_R,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Relation_OImage(V_R,V_A,T_b,T_a)),c_Relation_OImage(V_R,V_B,T_b,T_a)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_15,plain,
    ! [T_a,T_b,V_A,V_B,V_R] :
      ( lhs_atom16(V_R,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Image__Int__subset_0_0,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ! [V_x,V_g,V_f,T_c,T_b,T_a] :
      ( lhs_atom17(V_x,V_g,V_f,T_c,T_b,T_a)
    <=> hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_16,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_x] :
      ( lhs_atom17(V_x,V_g,V_f,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_o__apply_0_0,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ! [V_v,V_b,V_a,T_c,T_b,T_a] :
      ( lhs_atom18(V_v,V_b,V_a,T_c,T_b,T_a)
    <=> hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) = hAPP(V_a,hAPP(V_b,V_v)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_17,plain,
    ! [T_a,T_b,T_c,V_a,V_b,V_v] :
      ( lhs_atom18(V_v,V_b,V_a,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_o__eq__dest__lhs_0_0,def_lhs_atom18]) ).

fof(def_lhs_atom19,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom19(V_C,V_B,V_A,T_a)
    <=> hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_18,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom19(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__Un__distrib2_0_0,def_lhs_atom19]) ).

fof(def_lhs_atom20,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom20(V_C,V_B,V_A,T_a)
    <=> hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_19,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom20(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__Un__distrib_0_0,def_lhs_atom20]) ).

fof(def_lhs_atom21,axiom,
    ! [V_f,T_b,T_a] :
      ( lhs_atom21(V_f,T_b,T_a)
    <=> c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a) = V_f ),
    inference(definition,[],]) ).

fof(to_be_clausified_20,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom21(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_o__id_0_0,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ! [V_g,T_b,T_a] :
      ( lhs_atom22(V_g,T_b,T_a)
    <=> c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a) = V_g ),
    inference(definition,[],]) ).

fof(to_be_clausified_21,plain,
    ! [T_a,T_b,V_g] :
      ( lhs_atom22(V_g,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_id__o_0_0,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ! [V_A,T_a] :
      ( lhs_atom23(V_A,T_a)
    <=> hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ),
    inference(definition,[],]) ).

fof(to_be_clausified_22,plain,
    ! [T_a,V_A] :
      ( lhs_atom23(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__absorb_0_0,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ! [V_R,V_B,V_A,T_b,T_a] :
      ( lhs_atom24(V_R,V_B,V_A,T_b,T_a)
    <=> c_Relation_OImage(V_R,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Relation_OImage(V_R,V_A,T_b,T_a)),c_Relation_OImage(V_R,V_B,T_b,T_a)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_23,plain,
    ! [T_a,T_b,V_A,V_B,V_R] :
      ( lhs_atom24(V_R,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Image__Un_0_0,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ! [V_A,T_a] :
      ( lhs_atom25(V_A,T_a)
    <=> c_Fun_Oinj__on(c_Fun_Oid(T_a),V_A,T_a,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_24,plain,
    ! [T_a,V_A] :
      ( lhs_atom25(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_inj__on__id_0_0,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ! [V_y,V_x,V_A,T_a] :
      ( lhs_atom26(V_y,V_x,V_A,T_a)
    <=> c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_25,plain,
    ! [T_a,V_A,V_x,V_y] :
      ( lhs_atom26(V_y,V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__commute_0_0,def_lhs_atom26]) ).

fof(def_lhs_atom27,axiom,
    ! [V_B,V_A,T_b,T_a] :
      ( lhs_atom27(V_B,V_A,T_b,T_a)
    <=> 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 ),
    inference(definition,[],]) ).

fof(to_be_clausified_26,plain,
    ! [T_a,T_b,V_A,V_B] :
      ( lhs_atom27(V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_INT__extend__simps_I4_J_0_0,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ! [V_R,V_Q,V_P,T_c,T_b,T_a] :
      ( lhs_atom28(V_R,V_Q,V_P,T_c,T_b,T_a)
    <=> hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ),
    inference(definition,[],]) ).

fof(to_be_clausified_27,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( lhs_atom28(V_R,V_Q,V_P,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_COMBC__def_0_0,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ! [V_Q,V_P,T_b,T_a] :
      ( lhs_atom29(V_Q,V_P,T_b,T_a)
    <=> hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ),
    inference(definition,[],]) ).

fof(to_be_clausified_28,plain,
    ! [T_a,T_b,V_P,V_Q] :
      ( lhs_atom29(V_Q,V_P,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_COMBK__def_0_0,def_lhs_atom29]) ).

fof(def_lhs_atom30,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom30(V_B,V_A,T_a)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_29,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom30(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__idemp_0_0,def_lhs_atom30]) ).

fof(def_lhs_atom31,axiom,
    ! [V_x,V_f,T_b,T_a] :
      ( lhs_atom31(V_x,V_f,T_b,T_a)
    <=> hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_30,plain,
    ! [T_a,T_b,V_f,V_x] :
      ( lhs_atom31(V_x,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rangeI_0_0,def_lhs_atom31]) ).

fof(def_lhs_atom32,axiom,
    ! [V_f,V_B,V_A,T_b,T_a] :
      ( lhs_atom32(V_f,V_B,V_A,T_b,T_a)
    <=> c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_31,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( lhs_atom32(V_f,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__diff__subset_0_0,def_lhs_atom32]) ).

fof(def_lhs_atom33,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom33(V_C,V_B,V_A,T_a)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_32,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom33(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__left__commute_0_0,def_lhs_atom33]) ).

fof(def_lhs_atom34,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom34(V_C,V_B,V_A,T_a)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_33,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom34(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__assoc_0_0,def_lhs_atom34]) ).

fof(def_lhs_atom35,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom35(V_B,V_A,T_a)
    <=> c_lessequals(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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_34,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom35(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__upper2_0_0,def_lhs_atom35]) ).

fof(def_lhs_atom36,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom36(V_B,V_A,T_a)
    <=> c_lessequals(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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_35,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom36(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__upper1_0_0,def_lhs_atom36]) ).

fof(def_lhs_atom37,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom37(V_B,V_A,T_a)
    <=> hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A) ),
    inference(definition,[],]) ).

fof(to_be_clausified_36,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom37(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__commute_0_0,def_lhs_atom37]) ).

fof(def_lhs_atom38,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom38(V_B,V_A,T_a)
    <=> c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_37,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom38(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__subset_0_0,def_lhs_atom38]) ).

fof(def_lhs_atom39,axiom,
    ! [V_a,V_A,T_a] :
      ( lhs_atom39(V_a,V_A,T_a)
    <=> c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_38,plain,
    ! [T_a,V_A,V_a] :
      ( lhs_atom39(V_a,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__Diff__single_0_0,def_lhs_atom39]) ).

fof(def_lhs_atom40,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom40(V_C,V_B,V_A,T_a)
    <=> hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_39,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom40(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__Int__crazy_0_0,def_lhs_atom40]) ).

fof(def_lhs_atom41,axiom,
    ! [V_c,T_b,T_a] :
      ( lhs_atom41(V_c,T_b,T_a)
    <=> c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_40,plain,
    ! [T_a,T_b,V_c] :
      ( lhs_atom41(V_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__constant__conv_0_0,def_lhs_atom41]) ).

fof(def_lhs_atom42,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom42(V_B,V_A,T_a)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_41,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom42(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__Diff__cancel2_0_0,def_lhs_atom42]) ).

fof(def_lhs_atom43,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom43(V_B,V_A,T_a)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_42,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom43(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__Diff__cancel_0_0,def_lhs_atom43]) ).

fof(def_lhs_atom44,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom44(V_C,V_B,V_A,T_a)
    <=> hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_43,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom44(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__assoc_0_0,def_lhs_atom44]) ).

fof(def_lhs_atom45,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom45(V_C,V_B,V_A,T_a)
    <=> hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_44,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom45(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__left__commute_0_0,def_lhs_atom45]) ).

fof(def_lhs_atom46,axiom,
    ! [V_m,V_B,V_A,T_b,T_a] :
      ( lhs_atom46(V_m,V_B,V_A,T_b,T_a)
    <=> c_Map_Orestrict__map(c_Map_Orestrict__map(V_m,V_A,T_a,T_b),V_B,T_a,T_b) = c_Map_Orestrict__map(V_m,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ),
    inference(definition,[],]) ).

fof(to_be_clausified_45,plain,
    ! [T_a,T_b,V_A,V_B,V_m] :
      ( lhs_atom46(V_m,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_restrict__restrict_0_0,def_lhs_atom46]) ).

fof(def_lhs_atom47,axiom,
    ! [V_B,V_A,T_b,T_a] :
      ( lhs_atom47(V_B,V_A,T_b,T_a)
    <=> 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 ),
    inference(definition,[],]) ).

fof(to_be_clausified_46,plain,
    ! [T_a,T_b,V_A,V_B] :
      ( lhs_atom47(V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_UN__extend__simps_I2_J_0_0,def_lhs_atom47]) ).

fof(def_lhs_atom48,axiom,
    ! [V_B,V_A,T_b,T_a] :
      ( lhs_atom48(V_B,V_A,T_b,T_a)
    <=> 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 ),
    inference(definition,[],]) ).

fof(to_be_clausified_47,plain,
    ! [T_a,T_b,V_A,V_B] :
      ( lhs_atom48(V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_UN__extend__simps_I3_J_0_0,def_lhs_atom48]) ).

fof(def_lhs_atom49,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom49(V_C,V_B,V_A,T_a)
    <=> hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_B),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_48,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom49(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__Int__distrib_0_0,def_lhs_atom49]) ).

fof(def_lhs_atom50,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom50(V_C,V_B,V_A,T_a)
    <=> hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_49,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom50(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__Int__distrib2_0_0,def_lhs_atom50]) ).

fof(def_lhs_atom51,axiom,
    ! [V_B,T_a] :
      ( lhs_atom51(V_B,T_a)
    <=> hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))),V_B) = V_B ),
    inference(definition,[],]) ).

fof(to_be_clausified_50,plain,
    ! [T_a,V_B] :
      ( lhs_atom51(V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__UNIV__left_0_0,def_lhs_atom51]) ).

fof(def_lhs_atom52,axiom,
    ! [V_A,T_a] :
      ( lhs_atom52(V_A,T_a)
    <=> hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = V_A ),
    inference(definition,[],]) ).

fof(to_be_clausified_51,plain,
    ! [T_a,V_A] :
      ( lhs_atom52(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__UNIV__right_0_0,def_lhs_atom52]) ).

fof(def_lhs_atom53,axiom,
    ! [V_f,V_A,T_b,T_a] :
      ( lhs_atom53(V_f,V_A,T_b,T_a)
    <=> c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_52,plain,
    ! [T_a,T_b,V_A,V_f] :
      ( lhs_atom53(V_f,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__vimage__eq_0_0,def_lhs_atom53]) ).

fof(def_lhs_atom54,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom54(V_C,V_B,V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),V_B,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_53,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom54(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__Int2_0_0,def_lhs_atom54]) ).

fof(def_lhs_atom55,axiom,
    ! [V_x,T_a] :
      ( lhs_atom55(V_x,T_a)
    <=> ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_54,plain,
    ! [T_a,V_x] :
      ( lhs_atom55(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_psubset__eq_1_0,def_lhs_atom55]) ).

fof(def_lhs_atom56,axiom,
    ! [V_x,T_a] :
      ( lhs_atom56(V_x,T_a)
    <=> hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_55,plain,
    ! [T_a,V_x] :
      ( lhs_atom56(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_top1I_0_0,def_lhs_atom56]) ).

fof(def_lhs_atom57,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom57(V_B,V_A,T_a)
    <=> hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = V_A ),
    inference(definition,[],]) ).

fof(to_be_clausified_56,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom57(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__Diff__Int_0_0,def_lhs_atom57]) ).

fof(def_lhs_atom58,axiom,
    ! [V_a,V_B,V_A,T_b,T_a] :
      ( lhs_atom58(V_a,V_B,V_A,T_b,T_a)
    <=> c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool)) = 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))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_57,plain,
    ! [T_a,T_b,V_A,V_B,V_a] :
      ( lhs_atom58(V_a,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_UN__insert_0_0,def_lhs_atom58]) ).

fof(def_lhs_atom59,axiom,
    ! [V_x,V_f,T_a] :
      ( lhs_atom59(V_x,V_f,T_a)
    <=> c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_58,plain,
    ! [T_a,V_f,V_x] :
      ( lhs_atom59(V_x,V_f,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_fold1Set__sing_1_0,def_lhs_atom59]) ).

fof(def_lhs_atom60,axiom,
    ! [V_f,V_a,V_B,T_b,T_a] :
      ( lhs_atom60(V_f,V_a,V_B,T_b,T_a)
    <=> c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_59,plain,
    ! [T_a,T_b,V_B,V_a,V_f] :
      ( lhs_atom60(V_f,V_a,V_B,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__insert_0_0,def_lhs_atom60]) ).

fof(def_lhs_atom61,axiom,
    ! [V_A,T_a] :
      ( lhs_atom61(V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_60,plain,
    ! [T_a,V_A] :
      ( lhs_atom61(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__UNIV_0_0,def_lhs_atom61]) ).

fof(def_lhs_atom62,axiom,
    ! [V_x,V_g,V_f,T_c,T_b,T_a] :
      ( lhs_atom62(V_x,V_g,V_f,T_c,T_b,T_a)
    <=> hAPP(c_Fun_Ofcomp(V_f,V_g,T_b,T_c,T_a),V_x) = hAPP(V_g,hAPP(V_f,V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_61,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_x] :
      ( lhs_atom62(V_x,V_g,V_f,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_fcomp__apply_0_0,def_lhs_atom62]) ).

fof(def_lhs_atom63,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom63(V_B,V_A,T_a)
    <=> c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_62,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom63(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__lower1_0_0,def_lhs_atom63]) ).

fof(def_lhs_atom64,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom64(V_B,V_A,T_a)
    <=> c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_B,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_63,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom64(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__lower2_0_0,def_lhs_atom64]) ).

fof(def_lhs_atom65,axiom,
    ! [V_A,T_a] :
      ( lhs_atom65(V_A,T_a)
    <=> c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_64,plain,
    ! [T_a,V_A] :
      ( lhs_atom65(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__UNIV_0_0,def_lhs_atom65]) ).

fof(def_lhs_atom66,axiom,
    ! [V_h,V_g,V_f,T_d,T_c,T_b,T_a] :
      ( lhs_atom66(V_h,V_g,V_f,T_d,T_c,T_b,T_a)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_65,plain,
    ! [T_a,T_b,T_c,T_d,V_f,V_g,V_h] :
      ( lhs_atom66(V_h,V_g,V_f,T_d,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_o__assoc_0_0,def_lhs_atom66]) ).

fof(def_lhs_atom67,axiom,
    ! [V_a,V_B,T_b,T_a] :
      ( lhs_atom67(V_a,V_B,T_b,T_a)
    <=> c_Set_Oinsert(V_a,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_66,plain,
    ! [T_a,T_b,V_B,V_a] :
      ( lhs_atom67(V_a,V_B,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_UN__extend__simps_I1_J_0_0,def_lhs_atom67]) ).

fof(def_lhs_atom68,axiom,
    ! [V_A,T_a] :
      ( lhs_atom68(V_A,T_a)
    <=> c_Set_Ovimage(c_Fun_Oid(T_a),V_A,T_a,T_a) = V_A ),
    inference(definition,[],]) ).

fof(to_be_clausified_67,plain,
    ! [T_a,V_A] :
      ( lhs_atom68(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__id_0_0,def_lhs_atom68]) ).

fof(def_lhs_atom69,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom69(V_C,V_B,V_A,T_a)
    <=> 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))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_68,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom69(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__Diff_0_0,def_lhs_atom69]) ).

fof(def_lhs_atom70,axiom,
    ! [V_x,V_g,V_f,T_c,T_b,T_a] :
      ( lhs_atom70(V_x,V_g,V_f,T_c,T_b,T_a)
    <=> c_Set_Ovimage(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_x,T_a,T_b) = c_Set_Ovimage(V_f,c_Set_Ovimage(V_g,V_x,T_c,T_b),T_a,T_c) ),
    inference(definition,[],]) ).

fof(to_be_clausified_69,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_x] :
      ( lhs_atom70(V_x,V_g,V_f,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__compose_0_0,def_lhs_atom70]) ).

fof(def_lhs_atom71,axiom,
    ! [V_a,V_B,T_a] :
      ( lhs_atom71(V_a,V_B,T_a)
    <=> c_Set_Oinsert(V_a,V_B,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a)),V_B) ),
    inference(definition,[],]) ).

fof(to_be_clausified_70,plain,
    ! [T_a,V_B,V_a] :
      ( lhs_atom71(V_a,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__def_0_0,def_lhs_atom71]) ).

fof(def_lhs_atom72,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom72(V_B,V_A,T_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_B),V_A) ),
    inference(definition,[],]) ).

fof(to_be_clausified_71,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom72(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__commute_0_0,def_lhs_atom72]) ).

fof(def_lhs_atom73,axiom,
    ! [V_Y,T_a] :
      ( lhs_atom73(V_Y,T_a)
    <=> c_Set_Oimage(c_Fun_Oid(T_a),V_Y,T_a,T_a) = V_Y ),
    inference(definition,[],]) ).

fof(to_be_clausified_72,plain,
    ! [T_a,V_Y] :
      ( lhs_atom73(V_Y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__id_0_0,def_lhs_atom73]) ).

fof(def_lhs_atom74,axiom,
    ! [V_a,V_A,T_a] :
      ( lhs_atom74(V_a,V_A,T_a)
    <=> c_Set_Oinsert(V_a,V_A,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_A) ),
    inference(definition,[],]) ).

fof(to_be_clausified_73,plain,
    ! [T_a,V_A,V_a] :
      ( lhs_atom74(V_a,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__is__Un_0_0,def_lhs_atom74]) ).

fof(def_lhs_atom75,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom75(V_B,V_A,T_a)
    <=> 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) ),
    inference(definition,[],]) ).

fof(to_be_clausified_74,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom75(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__left__absorb_0_0,def_lhs_atom75]) ).

fof(def_lhs_atom76,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom76(V_B,V_A,T_a)
    <=> hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_75,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom76(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__disjoint_0_0,def_lhs_atom76]) ).

fof(def_lhs_atom77,axiom,
    ! [V_f,V_B,V_A,T_b,T_a] :
      ( lhs_atom77(V_f,V_B,V_A,T_b,T_a)
    <=> c_Set_Ovimage(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_76,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( lhs_atom77(V_f,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__Un_0_0,def_lhs_atom77]) ).

fof(def_lhs_atom78,axiom,
    ! [V_x,T_a] :
      ( lhs_atom78(V_x,T_a)
    <=> hAPP(c_Fun_Oid(T_a),V_x) = V_x ),
    inference(definition,[],]) ).

fof(to_be_clausified_77,plain,
    ! [T_a,V_x] :
      ( lhs_atom78(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_id__apply_0_0,def_lhs_atom78]) ).

fof(def_lhs_atom79,axiom,
    ! [V_f,V_B,V_A,T_b,T_a] :
      ( lhs_atom79(V_f,V_B,V_A,T_b,T_a)
    <=> c_Set_Ovimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_78,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( lhs_atom79(V_f,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__Int_0_0,def_lhs_atom79]) ).

fof(def_lhs_atom80,axiom,
    ! [V_x,T_a] :
      ( lhs_atom80(V_x,T_a)
    <=> hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_79,plain,
    ! [T_a,V_x] :
      ( lhs_atom80(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_UNIV__I_0_0,def_lhs_atom80]) ).

fof(def_lhs_atom81,axiom,
    ! [V_x,V_A,T_a] :
      ( lhs_atom81(V_x,V_A,T_a)
    <=> hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_80,plain,
    ! [T_a,V_A,V_x] :
      ( lhs_atom81(V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__iff_1_0,def_lhs_atom81]) ).

fof(def_lhs_atom82,axiom,
    ! [V_a,V_B,T_a] :
      ( lhs_atom82(V_a,V_B,T_a)
    <=> hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_81,plain,
    ! [T_a,V_B,V_a] :
      ( lhs_atom82(V_a,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insertI1_0_0,def_lhs_atom82]) ).

fof(def_lhs_atom83,axiom,
    ! [V_x,V_B,T_a] :
      ( lhs_atom83(V_x,V_B,T_a)
    <=> hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_82,plain,
    ! [T_a,V_B,V_x] :
      ( lhs_atom83(V_x,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insertCI_1_0,def_lhs_atom83]) ).

fof(def_lhs_atom84,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom84(V_C,V_B,V_A,T_a)
    <=> hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_83,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom84(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__Int__distrib_0_0,def_lhs_atom84]) ).

fof(def_lhs_atom85,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom85(V_C,V_B,V_A,T_a)
    <=> hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_84,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom85(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__Int__distrib2_0_0,def_lhs_atom85]) ).

fof(def_lhs_atom86,axiom,
    ! [V_x,V_A,T_a] :
      ( lhs_atom86(V_x,V_A,T_a)
    <=> hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_85,plain,
    ! [T_a,V_A,V_x] :
      ( lhs_atom86(V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__code_1_0,def_lhs_atom86]) ).

fof(def_lhs_atom87,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom87(V_B,V_A,T_a)
    <=> hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) ),
    inference(definition,[],]) ).

fof(to_be_clausified_86,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom87(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__left__absorb_0_0,def_lhs_atom87]) ).

fof(def_lhs_atom88,axiom,
    ! [V_f,T_b,T_a] :
      ( lhs_atom88(V_f,T_b,T_a)
    <=> c_Fun_Ofcomp(V_f,c_Fun_Oid(T_b),T_a,T_b,T_b) = V_f ),
    inference(definition,[],]) ).

fof(to_be_clausified_87,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom88(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_fcomp__id_0_0,def_lhs_atom88]) ).

fof(def_lhs_atom89,axiom,
    ! [V_g,T_b,T_a] :
      ( lhs_atom89(V_g,T_b,T_a)
    <=> c_Fun_Ofcomp(c_Fun_Oid(T_a),V_g,T_a,T_a,T_b) = V_g ),
    inference(definition,[],]) ).

fof(to_be_clausified_88,plain,
    ! [T_a,T_b,V_g] :
      ( lhs_atom89(V_g,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_id__fcomp_0_0,def_lhs_atom89]) ).

fof(def_lhs_atom90,axiom,
    ! [V_r,V_g,V_f,T_c,T_b,T_a] :
      ( lhs_atom90(V_r,V_g,V_f,T_c,T_b,T_a)
    <=> c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_89,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_r] :
      ( lhs_atom90(V_r,V_g,V_f,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__compose_0_0,def_lhs_atom90]) ).

fof(def_lhs_atom91,axiom,
    ! [V_n] :
      ( lhs_atom91(V_n)
    <=> c_Suc(V_n) != V_n ),
    inference(definition,[],]) ).

fof(to_be_clausified_90,plain,
    ! [V_n] :
      ( lhs_atom91(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Suc__n__not__n_0_0,def_lhs_atom91]) ).

fof(def_lhs_atom92,axiom,
    ! [V_n] :
      ( lhs_atom92(V_n)
    <=> V_n != c_Suc(V_n) ),
    inference(definition,[],]) ).

fof(to_be_clausified_91,plain,
    ! [V_n] :
      ( lhs_atom92(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_n__not__Suc__n_0_0,def_lhs_atom92]) ).

fof(def_lhs_atom93,axiom,
    ! [V_A,T_a] :
      ( lhs_atom93(V_A,T_a)
    <=> hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ),
    inference(definition,[],]) ).

fof(to_be_clausified_92,plain,
    ! [T_a,V_A] :
      ( lhs_atom93(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__absorb_0_0,def_lhs_atom93]) ).

fof(def_lhs_atom94,axiom,
    ! [V_x,T_a] :
      ( lhs_atom94(V_x,T_a)
    <=> c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_93,plain,
    ! [T_a,V_x] :
      ( lhs_atom94(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_equalityE_0_0,def_lhs_atom94]) ).

fof(def_lhs_atom95,axiom,
    ! [V_A,T_a] :
      ( lhs_atom95(V_A,T_a)
    <=> c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_94,plain,
    ! [T_a,V_A] :
      ( lhs_atom95(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__refl_0_0,def_lhs_atom95]) ).

fof(def_lhs_atom96,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom96(V_C,V_B,V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_95,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom96(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__Un_0_0,def_lhs_atom96]) ).

fof(def_lhs_atom97,axiom,
    ! [V_a,T_a] :
      ( lhs_atom97(V_a,T_a)
    <=> c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_96,plain,
    ! [T_a,V_a] :
      ( lhs_atom97(V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_singleton__conv_0_0,def_lhs_atom97]) ).

fof(def_lhs_atom98,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom98(V_C,V_B,V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_97,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom98(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__Diff_0_0,def_lhs_atom98]) ).

fof(def_lhs_atom99,axiom,
    ! [V_f,V_a,V_B,T_b,T_a] :
      ( lhs_atom99(V_f,V_a,V_B,T_b,T_a)
    <=> c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_98,plain,
    ! [T_a,T_b,V_B,V_a,V_f] :
      ( lhs_atom99(V_f,V_a,V_B,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__insert_0_0,def_lhs_atom99]) ).

fof(def_lhs_atom100,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom100(V_C,V_B,V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_99,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom100(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__Int_0_0,def_lhs_atom100]) ).

fof(def_lhs_atom101,axiom,
    ! [V_M,V_B,V_A,T_b,T_a] :
      ( lhs_atom101(V_M,V_B,V_A,T_b,T_a)
    <=> 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))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_100,plain,
    ! [T_a,T_b,V_A,V_B,V_M] :
      ( lhs_atom101(V_M,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_UN__Un_0_0,def_lhs_atom101]) ).

fof(def_lhs_atom102,axiom,
    ! [V_a,T_a] :
      ( lhs_atom102(V_a,T_a)
    <=> c_Collect(hAPP(c_fequal(T_a),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_101,plain,
    ! [T_a,V_a] :
      ( lhs_atom102(V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_singleton__conv2_0_0,def_lhs_atom102]) ).

fof(def_lhs_atom103,axiom,
    ! [V_f,V_B,V_A,T_b,T_a] :
      ( lhs_atom103(V_f,V_B,V_A,T_b,T_a)
    <=> c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_102,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( lhs_atom103(V_f,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__Un_0_0,def_lhs_atom103]) ).

fof(def_lhs_atom104,axiom,
    ! [V_A,T_a] :
      ( lhs_atom104(V_A,T_a)
    <=> c_Collect(hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_A),T_a) = V_A ),
    inference(definition,[],]) ).

fof(to_be_clausified_103,plain,
    ! [T_a,V_A] :
      ( lhs_atom104(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Collect__mem__eq_0_0,def_lhs_atom104]) ).

fof(def_lhs_atom105,axiom,
    ! [V_h,V_g,V_f,T_d,T_c,T_b,T_a] :
      ( lhs_atom105(V_h,V_g,V_f,T_d,T_c,T_b,T_a)
    <=> c_Fun_Ofcomp(c_Fun_Ofcomp(V_f,V_g,T_a,T_d,T_c),V_h,T_a,T_c,T_b) = c_Fun_Ofcomp(V_f,c_Fun_Ofcomp(V_g,V_h,T_d,T_c,T_b),T_a,T_d,T_b) ),
    inference(definition,[],]) ).

fof(to_be_clausified_104,plain,
    ! [T_a,T_b,T_c,T_d,V_f,V_g,V_h] :
      ( lhs_atom105(V_h,V_g,V_f,T_d,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_fcomp__assoc_0_0,def_lhs_atom105]) ).

fof(def_lhs_atom106,axiom,
    ! [V_f,V_a,T_aa,T_a] :
      ( lhs_atom106(V_f,V_a,T_aa,T_a)
    <=> hBOOL(hAPP(hAPP(c_in(T_aa),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_105,plain,
    ! [T_a,T_aa,V_a,V_f] :
      ( lhs_atom106(V_f,V_a,T_aa,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__singleton__eq_1_0,def_lhs_atom106]) ).

fof(def_lhs_atom107,axiom,
    ! [V_f,T_b,T_a] :
      ( lhs_atom107(V_f,T_b,T_a)
    <=> c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_106,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom107(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__empty_0_0,def_lhs_atom107]) ).

fof(def_lhs_atom108,axiom,
    ! [T_a] :
      ( lhs_atom108(T_a)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_107,plain,
    ! [T_a] :
      ( lhs_atom108(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__empty_2_0,def_lhs_atom108]) ).

fof(def_lhs_atom109,axiom,
    ! [V_r,T_a] :
      ( lhs_atom109(V_r,T_a)
    <=> c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_r,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_108,plain,
    ! [T_a,V_r] :
      ( lhs_atom109(V_r,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_total__on__empty_0_0,def_lhs_atom109]) ).

fof(def_lhs_atom110,axiom,
    ! [V_z,V_g,V_f,T_b,T_a] :
      ( lhs_atom110(V_z,V_g,V_f,T_b,T_a)
    <=> c_Finite__Set_Ofold__image(V_f,V_g,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = V_z ),
    inference(definition,[],]) ).

fof(to_be_clausified_109,plain,
    ! [T_a,T_b,V_f,V_g,V_z] :
      ( lhs_atom110(V_z,V_g,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_fold__image__empty_0_0,def_lhs_atom110]) ).

fof(def_lhs_atom111,axiom,
    ! [V_a,V_A,T_a] :
      ( lhs_atom111(V_a,V_A,T_a)
    <=> c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_110,plain,
    ! [T_a,V_A,V_a] :
      ( lhs_atom111(V_a,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__not__insert_0_0,def_lhs_atom111]) ).

fof(def_lhs_atom112,axiom,
    ! [V_z,V_f,T_b,T_a] :
      ( lhs_atom112(V_z,V_f,T_b,T_a)
    <=> c_Finite__Set_Ofold(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = V_z ),
    inference(definition,[],]) ).

fof(to_be_clausified_111,plain,
    ! [T_a,T_b,V_f,V_z] :
      ( lhs_atom112(V_z,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_fold__empty_0_0,def_lhs_atom112]) ).

fof(def_lhs_atom113,axiom,
    ! [T_a] :
      ( lhs_atom113(T_a)
    <=> c_lessequals(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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_112,plain,
    ! [T_a] :
      ( lhs_atom113(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__empty_1_0,def_lhs_atom113]) ).

fof(def_lhs_atom114,axiom,
    ! [V_a1,V_R] :
      ( lhs_atom114(V_a1,V_R)
    <=> ~ c_Wellfounded_Omax__extp(V_R,V_a1,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_113,plain,
    ! [V_R,V_a1] :
      ( lhs_atom114(V_a1,V_R)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_max__extp_Ocases_2_0,def_lhs_atom114]) ).

fof(def_lhs_atom115,axiom,
    ! [V_x,V_f,T_a] :
      ( lhs_atom115(V_x,V_f,T_a)
    <=> ~ c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_114,plain,
    ! [T_a,V_f,V_x] :
      ( lhs_atom115(V_x,V_f,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__fold1SetE_0_0,def_lhs_atom115]) ).

fof(def_lhs_atom116,axiom,
    ! [T_a] :
      ( lhs_atom116(T_a)
    <=> c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_115,plain,
    ! [T_a] :
      ( lhs_atom116(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_UNIV__not__empty_0_0,def_lhs_atom116]) ).

fof(def_lhs_atom117,axiom,
    ! [V_A,T_a] :
      ( lhs_atom117(V_A,T_a)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_116,plain,
    ! [T_a,V_A] :
      ( lhs_atom117(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__Diff_0_0,def_lhs_atom117]) ).

fof(def_lhs_atom118,axiom,
    ! [V_A,T_a] :
      ( lhs_atom118(V_A,T_a)
    <=> 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 ),
    inference(definition,[],]) ).

fof(to_be_clausified_117,plain,
    ! [T_a,V_A] :
      ( lhs_atom118(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__empty__right_0_0,def_lhs_atom118]) ).

fof(def_lhs_atom119,axiom,
    ! [V_B,T_a] :
      ( lhs_atom119(V_B,T_a)
    <=> 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 ),
    inference(definition,[],]) ).

fof(to_be_clausified_118,plain,
    ! [T_a,V_B] :
      ( lhs_atom119(V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__empty__left_0_0,def_lhs_atom119]) ).

fof(def_lhs_atom120,axiom,
    ! [V_A,T_a] :
      ( lhs_atom120(V_A,T_a)
    <=> ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_119,plain,
    ! [T_a,V_A] :
      ( lhs_atom120(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_not__psubset__empty_0_0,def_lhs_atom120]) ).

fof(def_lhs_atom121,axiom,
    ! [V_A,T_a] :
      ( lhs_atom121(V_A,T_a)
    <=> 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)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_120,plain,
    ! [T_a,V_A] :
      ( lhs_atom121(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__cancel_0_0,def_lhs_atom121]) ).

fof(def_lhs_atom122,axiom,
    ! [V_A,T_a] :
      ( lhs_atom122(V_A,T_a)
    <=> 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 ),
    inference(definition,[],]) ).

fof(to_be_clausified_121,plain,
    ! [T_a,V_A] :
      ( lhs_atom122(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__empty_0_0,def_lhs_atom122]) ).

fof(def_lhs_atom123,axiom,
    ! [T_a] :
      ( lhs_atom123(T_a)
    <=> c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_122,plain,
    ! [T_a] :
      ( lhs_atom123(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_finite_OemptyI_0_0,def_lhs_atom123]) ).

fof(def_lhs_atom124,axiom,
    ! [V_A,T_a] :
      ( lhs_atom124(V_A,T_a)
    <=> hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_123,plain,
    ! [T_a,V_A] :
      ( lhs_atom124(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__empty__right_0_0,def_lhs_atom124]) ).

fof(def_lhs_atom125,axiom,
    ! [V_B,T_a] :
      ( lhs_atom125(V_B,T_a)
    <=> hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_124,plain,
    ! [T_a,V_B] :
      ( lhs_atom125(V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__empty__left_0_0,def_lhs_atom125]) ).

fof(def_lhs_atom126,axiom,
    ! [V_R,T_b,T_a] :
      ( lhs_atom126(V_R,T_b,T_a)
    <=> c_Relation_OImage(V_R,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_125,plain,
    ! [T_a,T_b,V_R] :
      ( lhs_atom126(V_R,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Image__empty_0_0,def_lhs_atom126]) ).

fof(def_lhs_atom127,axiom,
    ! [V_a,V_A,T_a] :
      ( lhs_atom127(V_a,V_A,T_a)
    <=> c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_126,plain,
    ! [T_a,V_A,V_a] :
      ( lhs_atom127(V_a,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__not__empty_0_0,def_lhs_atom127]) ).

fof(def_lhs_atom128,axiom,
    ! [V_A,T_a] :
      ( lhs_atom128(V_A,T_a)
    <=> c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_127,plain,
    ! [T_a,V_A] :
      ( lhs_atom128(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__subsetI_0_0,def_lhs_atom128]) ).

fof(def_lhs_atom129,axiom,
    ! [V_xa,V_x,T_a] :
      ( lhs_atom129(V_xa,V_x,T_a)
    <=> c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_128,plain,
    ! [T_a,V_x,V_xa] :
      ( lhs_atom129(V_xa,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_doubleton__eq__iff_4_0,def_lhs_atom129]) ).

fof(def_lhs_atom130,axiom,
    ! [V_f,T_b,T_a] :
      ( lhs_atom130(V_f,T_b,T_a)
    <=> c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_129,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom130(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__empty_0_0,def_lhs_atom130]) ).

fof(def_lhs_atom131,axiom,
    ! [V_f,T_b,T_a] :
      ( lhs_atom131(V_f,T_b,T_a)
    <=> c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ),
    inference(definition,[],]) ).

fof(to_be_clausified_130,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom131(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_inj__on__empty_0_0,def_lhs_atom131]) ).

fof(def_lhs_atom132,axiom,
    ! [V_z,V_f,T_b,T_a] :
      ( lhs_atom132(V_z,V_f,T_b,T_a)
    <=> c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b) ),
    inference(definition,[],]) ).

fof(to_be_clausified_131,plain,
    ! [T_a,T_b,V_f,V_z] :
      ( lhs_atom132(V_z,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_fold__graph_OemptyI_0_0,def_lhs_atom132]) ).

fof(def_lhs_atom133,axiom,
    ! [V_z,V_f,T_b,T_a] :
      ( lhs_atom133(V_z,V_f,T_b,T_a)
    <=> c_Nitpick_Ofold__graph_H(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b) ),
    inference(definition,[],]) ).

fof(to_be_clausified_132,plain,
    ! [T_a,T_b,V_f,V_z] :
      ( lhs_atom133(V_z,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_fold__graph_H_Ointros_I1_J_0_0,def_lhs_atom133]) ).

fof(to_be_clausified_133,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom130(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__is__image_1_0,def_lhs_atom130]) ).

fof(def_lhs_atom134,axiom,
    ! [V_g,V_f,T_b,T_a] :
      ( lhs_atom134(V_g,V_f,T_b,T_a)
    <=> c_Fun_Ooverride__on(V_f,V_g,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) = V_f ),
    inference(definition,[],]) ).

fof(to_be_clausified_134,plain,
    ! [T_a,T_b,V_f,V_g] :
      ( lhs_atom134(V_g,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_override__on__emptyset_0_0,def_lhs_atom134]) ).

fof(def_lhs_atom135,axiom,
    ! [V_S,V_R] :
      ( lhs_atom135(V_S,V_R)
    <=> hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,tc_bool)),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),V_R)),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),V_S)),v_x) = hAPP(hAPP(c_in(t_a),v_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,tc_bool)),V_R),V_S)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_135,plain,
    ! [V_R,V_S] :
      ( lhs_atom135(V_S,V_R)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_inf__Int__eq_0_0,def_lhs_atom135]) ).

fof(def_lhs_atom136,axiom,
    ! [V_S,V_R] :
      ( lhs_atom136(V_S,V_R)
    <=> hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),V_R)),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),V_S)),v_x) = hAPP(hAPP(c_in(t_a),v_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),V_R),V_S)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_136,plain,
    ! [V_R,V_S] :
      ( lhs_atom136(V_S,V_R)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_sup__Un__eq_0_0,def_lhs_atom136]) ).

fof(def_lhs_atom137,axiom,
    ! [V_m,T_b] :
      ( lhs_atom137(V_m,T_b)
    <=> hAPP(c_Map_Orestrict__map(V_m,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,T_b),v_x) = c_Option_Ooption_ONone(T_b) ),
    inference(definition,[],]) ).

fof(to_be_clausified_137,plain,
    ! [T_b,V_m] :
      ( lhs_atom137(V_m,T_b)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_restrict__map__to__empty_0_0,def_lhs_atom137]) ).

fof(def_lhs_atom138,axiom,
    ! [V_g,V_f,T_c,T_b] :
      ( lhs_atom138(V_g,V_f,T_c,T_b)
    <=> hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x) = hAPP(V_f,hAPP(V_g,v_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_138,plain,
    ! [T_b,T_c,V_f,V_g] :
      ( lhs_atom138(V_g,V_f,T_c,T_b)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_o__def_0_0,def_lhs_atom138]) ).

fof(def_lhs_atom139,axiom,
    ( lhs_atom139
  <=> hAPP(c_Fun_Oid(t_a),v_x) = v_x ),
    inference(definition,[],]) ).

fof(to_be_clausified_139,plain,
    ( lhs_atom139
    | $false ),
    inference(fold_definition,[status(thm)],[cls_id__def_0_0,def_lhs_atom139]) ).

fof(def_lhs_atom140,axiom,
    ! [V_g,V_f,T_c,T_b] :
      ( lhs_atom140(V_g,V_f,T_c,T_b)
    <=> hAPP(c_Fun_Ofcomp(V_f,V_g,t_a,T_c,T_b),v_x) = hAPP(V_g,hAPP(V_f,v_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_140,plain,
    ! [T_b,T_c,V_f,V_g] :
      ( lhs_atom140(V_g,V_f,T_c,T_b)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_fcomp__def_0_0,def_lhs_atom140]) ).

fof(def_lhs_atom141,axiom,
    ! [V_G,T_a] :
      ( lhs_atom141(V_G,T_a)
    <=> c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_141,plain,
    ! [T_a,V_G] :
      ( lhs_atom141(V_G,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty_0_0,def_lhs_atom141]) ).

fof(def_lhs_atom142,axiom,
    ! [V_x,T_a] :
      ( lhs_atom142(V_x,T_a)
    <=> hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_142,plain,
    ! [T_a,V_x] :
      ( lhs_atom142(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_singleton__iff_1_0,def_lhs_atom142]) ).

fof(def_lhs_atom143,axiom,
    ! [V_x,T_a] :
      ( lhs_atom143(V_x,T_a)
    <=> ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_143,plain,
    ! [T_a,V_x] :
      ( lhs_atom143(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ex__in__conv_0_0,def_lhs_atom143]) ).

fof(def_lhs_atom144,axiom,
    ! [V_c,T_a] :
      ( lhs_atom144(V_c,T_a)
    <=> ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_144,plain,
    ! [T_a,V_c] :
      ( lhs_atom144(V_c,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__iff_0_0,def_lhs_atom144]) ).

fof(def_lhs_atom145,axiom,
    ! [V_a,T_a] :
      ( lhs_atom145(V_a,T_a)
    <=> ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_145,plain,
    ! [T_a,V_a] :
      ( lhs_atom145(V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_emptyE_0_0,def_lhs_atom145]) ).

fof(def_lhs_atom146,axiom,
    ( lhs_atom146
  <=> hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_146,plain,
    ( lhs_atom146
    | $false ),
    inference(fold_definition,[status(thm)],[cls_bot__empty__eq_0_0,def_lhs_atom146]) ).

fof(def_lhs_atom147,axiom,
    ! [V_x,T_a] :
      ( lhs_atom147(V_x,T_a)
    <=> ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_147,plain,
    ! [T_a,V_x] :
      ( lhs_atom147(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_bot1E_0_0,def_lhs_atom147]) ).

fof(def_lhs_atom148,axiom,
    ( lhs_atom148
  <=> class_Lattices_Oupper__semilattice(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_148,plain,
    ( lhs_atom148
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Lattices_Oupper__semilattice_0,def_lhs_atom148]) ).

fof(def_lhs_atom149,axiom,
    ( lhs_atom149
  <=> class_Lattices_Olower__semilattice(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_149,plain,
    ( lhs_atom149
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Lattices_Olower__semilattice_0,def_lhs_atom149]) ).

fof(def_lhs_atom150,axiom,
    ( lhs_atom150
  <=> class_Lattices_Odistrib__lattice(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_150,plain,
    ( lhs_atom150
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Lattices_Odistrib__lattice_0,def_lhs_atom150]) ).

fof(def_lhs_atom151,axiom,
    ( lhs_atom151
  <=> class_Orderings_Opreorder(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_151,plain,
    ( lhs_atom151
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Opreorder_0,def_lhs_atom151]) ).

fof(def_lhs_atom152,axiom,
    ( lhs_atom152
  <=> class_Orderings_Olinorder(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_152,plain,
    ( lhs_atom152
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Olinorder_0,def_lhs_atom152]) ).

fof(def_lhs_atom153,axiom,
    ( lhs_atom153
  <=> class_Lattices_Olattice(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_153,plain,
    ( lhs_atom153
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Lattices_Olattice_0,def_lhs_atom153]) ).

fof(def_lhs_atom154,axiom,
    ( lhs_atom154
  <=> class_Orderings_Oorder(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_154,plain,
    ( lhs_atom154
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Oorder_0,def_lhs_atom154]) ).

fof(def_lhs_atom155,axiom,
    ( lhs_atom155
  <=> class_Orderings_Obot(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_155,plain,
    ( lhs_atom155
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Obot_0,def_lhs_atom155]) ).

fof(def_lhs_atom156,axiom,
    ( lhs_atom156
  <=> class_HOL_Ominus(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_156,plain,
    ( lhs_atom156
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__HOL_Ominus_0,def_lhs_atom156]) ).

fof(def_lhs_atom157,axiom,
    ( lhs_atom157
  <=> class_HOL_Oord(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_157,plain,
    ( lhs_atom157
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__HOL_Oord_0,def_lhs_atom157]) ).

fof(def_lhs_atom158,axiom,
    ( lhs_atom158
  <=> class_Complete__Lattice_Ocomplete__lattice(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_158,plain,
    ( lhs_atom158
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Complete__Lattice_Ocomplete__lattice_0,def_lhs_atom158]) ).

fof(def_lhs_atom159,axiom,
    ( lhs_atom159
  <=> class_Lattices_Oupper__semilattice(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_159,plain,
    ( lhs_atom159
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Oupper__semilattice_0,def_lhs_atom159]) ).

fof(def_lhs_atom160,axiom,
    ( lhs_atom160
  <=> class_Lattices_Olower__semilattice(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_160,plain,
    ( lhs_atom160
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Olower__semilattice_0,def_lhs_atom160]) ).

fof(def_lhs_atom161,axiom,
    ( lhs_atom161
  <=> class_Lattices_Odistrib__lattice(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_161,plain,
    ( lhs_atom161
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Odistrib__lattice_0,def_lhs_atom161]) ).

fof(def_lhs_atom162,axiom,
    ( lhs_atom162
  <=> class_Lattices_Obounded__lattice(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_162,plain,
    ( lhs_atom162
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Obounded__lattice_0,def_lhs_atom162]) ).

fof(def_lhs_atom163,axiom,
    ( lhs_atom163
  <=> class_Finite__Set_Ofinite_Ofinite(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_163,plain,
    ( lhs_atom163
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Finite__Set_Ofinite_Ofinite_0,def_lhs_atom163]) ).

fof(def_lhs_atom164,axiom,
    ( lhs_atom164
  <=> class_Orderings_Opreorder(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_164,plain,
    ( lhs_atom164
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Opreorder_0,def_lhs_atom164]) ).

fof(def_lhs_atom165,axiom,
    ( lhs_atom165
  <=> class_Lattices_Olattice(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_165,plain,
    ( lhs_atom165
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Olattice_0,def_lhs_atom165]) ).

fof(def_lhs_atom166,axiom,
    ( lhs_atom166
  <=> class_Orderings_Oorder(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_166,plain,
    ( lhs_atom166
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Oorder_0,def_lhs_atom166]) ).

fof(def_lhs_atom167,axiom,
    ( lhs_atom167
  <=> class_Orderings_Otop(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_167,plain,
    ( lhs_atom167
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Otop_0,def_lhs_atom167]) ).

fof(def_lhs_atom168,axiom,
    ( lhs_atom168
  <=> class_Orderings_Obot(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_168,plain,
    ( lhs_atom168
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Obot_0,def_lhs_atom168]) ).

fof(def_lhs_atom169,axiom,
    ( lhs_atom169
  <=> class_HOL_Ominus(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_169,plain,
    ( lhs_atom169
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__HOL_Ominus_0,def_lhs_atom169]) ).

fof(def_lhs_atom170,axiom,
    ( lhs_atom170
  <=> class_HOL_Oord(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_170,plain,
    ( lhs_atom170
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__HOL_Oord_0,def_lhs_atom170]) ).

fof(def_lhs_atom171,axiom,
    ! [V_x,T_a] :
      ( lhs_atom171(V_x,T_a)
    <=> hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_171,plain,
    ! [T_a,V_x] :
      ( lhs_atom171(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ATP__Linkup_Oequal__imp__fequal_0_0,def_lhs_atom171]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X19,X13,X6,X20,X11,X7,X4] :
      ( lhs_atom105(X19,X13,X6,X20,X11,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_104) ).

fof(c_0_1,axiom,
    ! [X19,X13,X6,X20,X11,X7,X4] :
      ( lhs_atom66(X19,X13,X6,X20,X11,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_65) ).

fof(c_0_2,axiom,
    ! [X22,X13,X6,X11,X7,X4] :
      ( lhs_atom90(X22,X13,X6,X11,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_89) ).

fof(c_0_3,axiom,
    ! [X9,X13,X6,X11,X7,X4] :
      ( lhs_atom70(X9,X13,X6,X11,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_69) ).

fof(c_0_4,axiom,
    ! [X9,X13,X6,X11,X7,X4] :
      ( lhs_atom62(X9,X13,X6,X11,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_61) ).

fof(c_0_5,axiom,
    ! [X12,X17,X8,X11,X7,X4] :
      ( lhs_atom28(X12,X17,X8,X11,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_6,axiom,
    ! [X14,X15,X1,X11,X7,X4] :
      ( lhs_atom18(X14,X15,X1,X11,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_7,axiom,
    ! [X9,X13,X6,X11,X7,X4] :
      ( lhs_atom17(X9,X13,X6,X11,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_8,axiom,
    ! [X26,X13,X6,X7,X4] :
      ( lhs_atom110(X26,X13,X6,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_109) ).

fof(c_0_9,axiom,
    ! [X6,X3,X5,X7,X4] :
      ( lhs_atom103(X6,X3,X5,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_102) ).

fof(c_0_10,axiom,
    ! [X24,X3,X5,X7,X4] :
      ( lhs_atom101(X24,X3,X5,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_100) ).

fof(c_0_11,axiom,
    ! [X6,X1,X3,X7,X4] :
      ( lhs_atom99(X6,X1,X3,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_98) ).

fof(c_0_12,axiom,
    ! [X6,X3,X5,X7,X4] :
      ( lhs_atom79(X6,X3,X5,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_78) ).

fof(c_0_13,axiom,
    ! [X6,X3,X5,X7,X4] :
      ( lhs_atom77(X6,X3,X5,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_76) ).

fof(c_0_14,axiom,
    ! [X6,X1,X3,X7,X4] :
      ( lhs_atom60(X6,X1,X3,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_59) ).

fof(c_0_15,axiom,
    ! [X1,X3,X5,X7,X4] :
      ( lhs_atom58(X1,X3,X5,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_57) ).

fof(c_0_16,axiom,
    ! [X18,X3,X5,X7,X4] :
      ( lhs_atom46(X18,X3,X5,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_45) ).

fof(c_0_17,axiom,
    ! [X6,X3,X5,X7,X4] :
      ( lhs_atom32(X6,X3,X5,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_18,axiom,
    ! [X12,X3,X5,X7,X4] :
      ( lhs_atom24(X12,X3,X5,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_19,axiom,
    ! [X12,X3,X5,X7,X4] :
      ( lhs_atom16(X12,X3,X5,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_20,axiom,
    ! [X6,X3,X5,X7,X4] :
      ( lhs_atom15(X6,X3,X5,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_21,axiom,
    ! [X6,X3,X5,X7,X4] :
      ( lhs_atom3(X6,X3,X5,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_22,axiom,
    ! [X13,X6,X11,X7] :
      ( lhs_atom140(X13,X6,X11,X7)
      | ~ $true ),
    file('<stdin>',to_be_clausified_140) ).

fof(c_0_23,axiom,
    ! [X13,X6,X11,X7] :
      ( lhs_atom138(X13,X6,X11,X7)
      | ~ $true ),
    file('<stdin>',to_be_clausified_138) ).

fof(c_0_24,axiom,
    ! [X13,X6,X7,X4] :
      ( lhs_atom134(X13,X6,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_134) ).

fof(c_0_25,axiom,
    ! [X26,X6,X7,X4] :
      ( lhs_atom133(X26,X6,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_132) ).

fof(c_0_26,axiom,
    ! [X26,X6,X7,X4] :
      ( lhs_atom132(X26,X6,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_131) ).

fof(c_0_27,axiom,
    ! [X26,X6,X7,X4] :
      ( lhs_atom112(X26,X6,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_111) ).

fof(c_0_28,axiom,
    ! [X6,X1,X25,X4] :
      ( lhs_atom106(X6,X1,X25,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_105) ).

fof(c_0_29,axiom,
    ! [X2,X3,X5,X4] :
      ( lhs_atom100(X2,X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_99) ).

fof(c_0_30,axiom,
    ! [X2,X3,X5,X4] :
      ( lhs_atom98(X2,X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_97) ).

fof(c_0_31,axiom,
    ! [X2,X3,X5,X4] :
      ( lhs_atom96(X2,X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_95) ).

fof(c_0_32,axiom,
    ! [X2,X3,X5,X4] :
      ( lhs_atom85(X2,X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_84) ).

fof(c_0_33,axiom,
    ! [X2,X3,X5,X4] :
      ( lhs_atom84(X2,X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_83) ).

fof(c_0_34,axiom,
    ! [X2,X3,X5,X4] :
      ( lhs_atom69(X2,X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_68) ).

fof(c_0_35,axiom,
    ! [X1,X3,X7,X4] :
      ( lhs_atom67(X1,X3,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_66) ).

fof(c_0_36,axiom,
    ! [X2,X3,X5,X4] :
      ( lhs_atom54(X2,X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_53) ).

fof(c_0_37,axiom,
    ! [X6,X5,X7,X4] :
      ( lhs_atom53(X6,X5,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_52) ).

fof(c_0_38,axiom,
    ! [X2,X3,X5,X4] :
      ( lhs_atom50(X2,X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_49) ).

fof(c_0_39,axiom,
    ! [X2,X3,X5,X4] :
      ( lhs_atom49(X2,X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_48) ).

fof(c_0_40,axiom,
    ! [X3,X5,X7,X4] :
      ( lhs_atom48(X3,X5,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_47) ).

fof(c_0_41,axiom,
    ! [X3,X5,X7,X4] :
      ( lhs_atom47(X3,X5,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_46) ).

fof(c_0_42,axiom,
    ! [X2,X3,X5,X4] :
      ( lhs_atom45(X2,X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_44) ).

fof(c_0_43,axiom,
    ! [X2,X3,X5,X4] :
      ( lhs_atom44(X2,X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_43) ).

fof(c_0_44,axiom,
    ! [X2,X3,X5,X4] :
      ( lhs_atom40(X2,X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_39) ).

fof(c_0_45,axiom,
    ! [X2,X3,X5,X4] :
      ( lhs_atom34(X2,X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_46,axiom,
    ! [X2,X3,X5,X4] :
      ( lhs_atom33(X2,X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_47,axiom,
    ! [X9,X6,X7,X4] :
      ( lhs_atom31(X9,X6,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_48,axiom,
    ! [X17,X8,X7,X4] :
      ( lhs_atom29(X17,X8,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_49,axiom,
    ! [X3,X5,X7,X4] :
      ( lhs_atom27(X3,X5,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_50,axiom,
    ! [X16,X9,X5,X4] :
      ( lhs_atom26(X16,X9,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_51,axiom,
    ! [X2,X3,X5,X4] :
      ( lhs_atom20(X2,X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_52,axiom,
    ! [X2,X3,X5,X4] :
      ( lhs_atom19(X2,X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_53,axiom,
    ! [X6,X10,X11,X7] :
      ( lhs_atom14(X6,X10,X11,X7)
      | ~ $true ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_54,axiom,
    ! [X1,X3,X5,X4] :
      ( lhs_atom11(X1,X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_55,axiom,
    ! [X1,X3,X5,X4] :
      ( lhs_atom10(X1,X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_56,axiom,
    ! [X1,X3,X5,X4] :
      ( lhs_atom9(X1,X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_57,axiom,
    ! [X6,X5,X7,X4] :
      ( lhs_atom4(X6,X5,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_58,axiom,
    ! [X1,X3,X5,X4] :
      ( lhs_atom2(X1,X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_59,axiom,
    ! [X1,X2,X3,X4] :
      ( lhs_atom1(X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_60,axiom,
    ! [X6,X7,X4] :
      ( lhs_atom130(X6,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_133) ).

fof(c_0_61,axiom,
    ! [X6,X7,X4] :
      ( lhs_atom131(X6,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_130) ).

fof(c_0_62,axiom,
    ! [X6,X7,X4] :
      ( lhs_atom130(X6,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_129) ).

fof(c_0_63,axiom,
    ! [X28,X9,X4] :
      ( lhs_atom129(X28,X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_128) ).

fof(c_0_64,axiom,
    ! [X1,X5,X4] :
      ( lhs_atom127(X1,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_126) ).

fof(c_0_65,axiom,
    ! [X12,X7,X4] :
      ( lhs_atom126(X12,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_125) ).

fof(c_0_66,axiom,
    ! [X9,X6,X4] :
      ( lhs_atom115(X9,X6,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_114) ).

fof(c_0_67,axiom,
    ! [X1,X5,X4] :
      ( lhs_atom111(X1,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_110) ).

fof(c_0_68,axiom,
    ! [X6,X7,X4] :
      ( lhs_atom107(X6,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_106) ).

fof(c_0_69,axiom,
    ! [X13,X7,X4] :
      ( lhs_atom89(X13,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_88) ).

fof(c_0_70,axiom,
    ! [X6,X7,X4] :
      ( lhs_atom88(X6,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_87) ).

fof(c_0_71,axiom,
    ! [X3,X5,X4] :
      ( lhs_atom87(X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_86) ).

fof(c_0_72,axiom,
    ! [X9,X5,X4] :
      ( lhs_atom86(X9,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_85) ).

fof(c_0_73,axiom,
    ! [X9,X3,X4] :
      ( lhs_atom83(X9,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_82) ).

fof(c_0_74,axiom,
    ! [X1,X3,X4] :
      ( lhs_atom82(X1,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_81) ).

fof(c_0_75,axiom,
    ! [X9,X5,X4] :
      ( lhs_atom81(X9,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_80) ).

fof(c_0_76,axiom,
    ! [X3,X5,X4] :
      ( lhs_atom76(X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_75) ).

fof(c_0_77,axiom,
    ! [X3,X5,X4] :
      ( lhs_atom75(X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_74) ).

fof(c_0_78,axiom,
    ! [X1,X5,X4] :
      ( lhs_atom74(X1,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_73) ).

fof(c_0_79,axiom,
    ! [X3,X5,X4] :
      ( lhs_atom72(X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_71) ).

fof(c_0_80,axiom,
    ! [X1,X3,X4] :
      ( lhs_atom71(X1,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_70) ).

fof(c_0_81,axiom,
    ! [X3,X5,X4] :
      ( lhs_atom64(X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_63) ).

fof(c_0_82,axiom,
    ! [X3,X5,X4] :
      ( lhs_atom63(X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_62) ).

fof(c_0_83,axiom,
    ! [X9,X6,X4] :
      ( lhs_atom59(X9,X6,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_58) ).

fof(c_0_84,axiom,
    ! [X3,X5,X4] :
      ( lhs_atom57(X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_56) ).

fof(c_0_85,axiom,
    ! [X3,X5,X4] :
      ( lhs_atom43(X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_42) ).

fof(c_0_86,axiom,
    ! [X3,X5,X4] :
      ( lhs_atom42(X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_41) ).

fof(c_0_87,axiom,
    ! [X10,X7,X4] :
      ( lhs_atom41(X10,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_40) ).

fof(c_0_88,axiom,
    ! [X1,X5,X4] :
      ( lhs_atom39(X1,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_38) ).

fof(c_0_89,axiom,
    ! [X3,X5,X4] :
      ( lhs_atom38(X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_37) ).

fof(c_0_90,axiom,
    ! [X3,X5,X4] :
      ( lhs_atom37(X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_91,axiom,
    ! [X3,X5,X4] :
      ( lhs_atom36(X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_92,axiom,
    ! [X3,X5,X4] :
      ( lhs_atom35(X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_93,axiom,
    ! [X3,X5,X4] :
      ( lhs_atom30(X3,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_94,axiom,
    ! [X13,X7,X4] :
      ( lhs_atom22(X13,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_95,axiom,
    ! [X6,X7,X4] :
      ( lhs_atom21(X6,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_96,axiom,
    ! [X1,X3,X4] :
      ( lhs_atom13(X1,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_97,axiom,
    ! [X9,X5,X4] :
      ( lhs_atom12(X9,X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_98,axiom,
    ! [X6,X7,X4] :
      ( lhs_atom6(X6,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_99,axiom,
    ! [X9,X4] :
      ( lhs_atom171(X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_171) ).

fof(c_0_100,axiom,
    ! [X9,X4] :
      ( lhs_atom147(X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_147) ).

fof(c_0_101,axiom,
    ! [X1,X4] :
      ( lhs_atom145(X1,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_145) ).

fof(c_0_102,axiom,
    ! [X10,X4] :
      ( lhs_atom144(X10,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_144) ).

fof(c_0_103,axiom,
    ! [X9,X4] :
      ( lhs_atom143(X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_143) ).

fof(c_0_104,axiom,
    ! [X9,X4] :
      ( lhs_atom142(X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_142) ).

fof(c_0_105,axiom,
    ! [X30,X4] :
      ( lhs_atom141(X30,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_141) ).

fof(c_0_106,axiom,
    ! [X18,X7] :
      ( lhs_atom137(X18,X7)
      | ~ $true ),
    file('<stdin>',to_be_clausified_137) ).

fof(c_0_107,axiom,
    ! [X29,X12] :
      ( lhs_atom136(X29,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_136) ).

fof(c_0_108,axiom,
    ! [X29,X12] :
      ( lhs_atom135(X29,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_135) ).

fof(c_0_109,axiom,
    ! [X5,X4] :
      ( lhs_atom128(X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_127) ).

fof(c_0_110,axiom,
    ! [X3,X4] :
      ( lhs_atom125(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_124) ).

fof(c_0_111,axiom,
    ! [X5,X4] :
      ( lhs_atom124(X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_123) ).

fof(c_0_112,axiom,
    ! [X5,X4] :
      ( lhs_atom122(X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_121) ).

fof(c_0_113,axiom,
    ! [X5,X4] :
      ( lhs_atom121(X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_120) ).

fof(c_0_114,axiom,
    ! [X5,X4] :
      ( lhs_atom120(X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_119) ).

fof(c_0_115,axiom,
    ! [X3,X4] :
      ( lhs_atom119(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_118) ).

fof(c_0_116,axiom,
    ! [X5,X4] :
      ( lhs_atom118(X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_117) ).

fof(c_0_117,axiom,
    ! [X5,X4] :
      ( lhs_atom117(X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_116) ).

fof(c_0_118,axiom,
    ! [X27,X12] :
      ( lhs_atom114(X27,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_113) ).

fof(c_0_119,axiom,
    ! [X22,X4] :
      ( lhs_atom109(X22,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_108) ).

fof(c_0_120,axiom,
    ! [X5,X4] :
      ( lhs_atom104(X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_103) ).

fof(c_0_121,axiom,
    ! [X1,X4] :
      ( lhs_atom102(X1,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_101) ).

fof(c_0_122,axiom,
    ! [X1,X4] :
      ( lhs_atom97(X1,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_96) ).

fof(c_0_123,axiom,
    ! [X5,X4] :
      ( lhs_atom95(X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_94) ).

fof(c_0_124,axiom,
    ! [X9,X4] :
      ( lhs_atom94(X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_93) ).

fof(c_0_125,axiom,
    ! [X5,X4] :
      ( lhs_atom93(X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_92) ).

fof(c_0_126,axiom,
    ! [X9,X4] :
      ( lhs_atom80(X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_79) ).

fof(c_0_127,axiom,
    ! [X9,X4] :
      ( lhs_atom78(X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_77) ).

fof(c_0_128,axiom,
    ! [X21,X4] :
      ( lhs_atom73(X21,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_72) ).

fof(c_0_129,axiom,
    ! [X5,X4] :
      ( lhs_atom68(X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_67) ).

fof(c_0_130,axiom,
    ! [X5,X4] :
      ( lhs_atom65(X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_64) ).

fof(c_0_131,axiom,
    ! [X5,X4] :
      ( lhs_atom61(X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_60) ).

fof(c_0_132,axiom,
    ! [X9,X4] :
      ( lhs_atom56(X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_55) ).

fof(c_0_133,axiom,
    ! [X9,X4] :
      ( lhs_atom55(X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_54) ).

fof(c_0_134,axiom,
    ! [X5,X4] :
      ( lhs_atom52(X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_51) ).

fof(c_0_135,axiom,
    ! [X3,X4] :
      ( lhs_atom51(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_50) ).

fof(c_0_136,axiom,
    ! [X5,X4] :
      ( lhs_atom25(X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_137,axiom,
    ! [X5,X4] :
      ( lhs_atom23(X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_138,axiom,
    ! [X5,X4] :
      ( lhs_atom8(X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_139,axiom,
    ! [X3,X4] :
      ( lhs_atom7(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_140,axiom,
    ! [X8,X4] :
      ( lhs_atom5(X8,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_141,axiom,
    ! [X4] :
      ( lhs_atom123(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_122) ).

fof(c_0_142,axiom,
    ! [X4] :
      ( lhs_atom116(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_115) ).

fof(c_0_143,axiom,
    ! [X4] :
      ( lhs_atom113(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_112) ).

fof(c_0_144,axiom,
    ! [X4] :
      ( lhs_atom108(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_107) ).

fof(c_0_145,axiom,
    ! [X23] :
      ( lhs_atom92(X23)
      | ~ $true ),
    file('<stdin>',to_be_clausified_91) ).

fof(c_0_146,axiom,
    ! [X23] :
      ( lhs_atom91(X23)
      | ~ $true ),
    file('<stdin>',to_be_clausified_90) ).

fof(c_0_147,axiom,
    ( lhs_atom170
    | ~ $true ),
    file('<stdin>',to_be_clausified_170) ).

fof(c_0_148,axiom,
    ( lhs_atom169
    | ~ $true ),
    file('<stdin>',to_be_clausified_169) ).

fof(c_0_149,axiom,
    ( lhs_atom168
    | ~ $true ),
    file('<stdin>',to_be_clausified_168) ).

fof(c_0_150,axiom,
    ( lhs_atom167
    | ~ $true ),
    file('<stdin>',to_be_clausified_167) ).

fof(c_0_151,axiom,
    ( lhs_atom166
    | ~ $true ),
    file('<stdin>',to_be_clausified_166) ).

fof(c_0_152,axiom,
    ( lhs_atom165
    | ~ $true ),
    file('<stdin>',to_be_clausified_165) ).

fof(c_0_153,axiom,
    ( lhs_atom164
    | ~ $true ),
    file('<stdin>',to_be_clausified_164) ).

fof(c_0_154,axiom,
    ( lhs_atom163
    | ~ $true ),
    file('<stdin>',to_be_clausified_163) ).

fof(c_0_155,axiom,
    ( lhs_atom162
    | ~ $true ),
    file('<stdin>',to_be_clausified_162) ).

fof(c_0_156,axiom,
    ( lhs_atom161
    | ~ $true ),
    file('<stdin>',to_be_clausified_161) ).

fof(c_0_157,axiom,
    ( lhs_atom160
    | ~ $true ),
    file('<stdin>',to_be_clausified_160) ).

fof(c_0_158,axiom,
    ( lhs_atom159
    | ~ $true ),
    file('<stdin>',to_be_clausified_159) ).

fof(c_0_159,axiom,
    ( lhs_atom158
    | ~ $true ),
    file('<stdin>',to_be_clausified_158) ).

fof(c_0_160,axiom,
    ( lhs_atom157
    | ~ $true ),
    file('<stdin>',to_be_clausified_157) ).

fof(c_0_161,axiom,
    ( lhs_atom156
    | ~ $true ),
    file('<stdin>',to_be_clausified_156) ).

fof(c_0_162,axiom,
    ( lhs_atom155
    | ~ $true ),
    file('<stdin>',to_be_clausified_155) ).

fof(c_0_163,axiom,
    ( lhs_atom154
    | ~ $true ),
    file('<stdin>',to_be_clausified_154) ).

fof(c_0_164,axiom,
    ( lhs_atom153
    | ~ $true ),
    file('<stdin>',to_be_clausified_153) ).

fof(c_0_165,axiom,
    ( lhs_atom152
    | ~ $true ),
    file('<stdin>',to_be_clausified_152) ).

fof(c_0_166,axiom,
    ( lhs_atom151
    | ~ $true ),
    file('<stdin>',to_be_clausified_151) ).

fof(c_0_167,axiom,
    ( lhs_atom150
    | ~ $true ),
    file('<stdin>',to_be_clausified_150) ).

fof(c_0_168,axiom,
    ( lhs_atom149
    | ~ $true ),
    file('<stdin>',to_be_clausified_149) ).

fof(c_0_169,axiom,
    ( lhs_atom148
    | ~ $true ),
    file('<stdin>',to_be_clausified_148) ).

fof(c_0_170,axiom,
    ( lhs_atom146
    | ~ $true ),
    file('<stdin>',to_be_clausified_146) ).

fof(c_0_171,axiom,
    ( lhs_atom139
    | ~ $true ),
    file('<stdin>',to_be_clausified_139) ).

fof(c_0_172,plain,
    ! [X19,X13,X6,X20,X11,X7,X4] : lhs_atom105(X19,X13,X6,X20,X11,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_173,plain,
    ! [X19,X13,X6,X20,X11,X7,X4] : lhs_atom66(X19,X13,X6,X20,X11,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_174,plain,
    ! [X22,X13,X6,X11,X7,X4] : lhs_atom90(X22,X13,X6,X11,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_175,plain,
    ! [X9,X13,X6,X11,X7,X4] : lhs_atom70(X9,X13,X6,X11,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_176,plain,
    ! [X9,X13,X6,X11,X7,X4] : lhs_atom62(X9,X13,X6,X11,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_177,plain,
    ! [X12,X17,X8,X11,X7,X4] : lhs_atom28(X12,X17,X8,X11,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_178,plain,
    ! [X14,X15,X1,X11,X7,X4] : lhs_atom18(X14,X15,X1,X11,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_179,plain,
    ! [X9,X13,X6,X11,X7,X4] : lhs_atom17(X9,X13,X6,X11,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_180,plain,
    ! [X26,X13,X6,X7,X4] : lhs_atom110(X26,X13,X6,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_181,plain,
    ! [X6,X3,X5,X7,X4] : lhs_atom103(X6,X3,X5,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_182,plain,
    ! [X24,X3,X5,X7,X4] : lhs_atom101(X24,X3,X5,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_183,plain,
    ! [X6,X1,X3,X7,X4] : lhs_atom99(X6,X1,X3,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_184,plain,
    ! [X6,X3,X5,X7,X4] : lhs_atom79(X6,X3,X5,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_185,plain,
    ! [X6,X3,X5,X7,X4] : lhs_atom77(X6,X3,X5,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_186,plain,
    ! [X6,X1,X3,X7,X4] : lhs_atom60(X6,X1,X3,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_187,plain,
    ! [X1,X3,X5,X7,X4] : lhs_atom58(X1,X3,X5,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_188,plain,
    ! [X18,X3,X5,X7,X4] : lhs_atom46(X18,X3,X5,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_189,plain,
    ! [X6,X3,X5,X7,X4] : lhs_atom32(X6,X3,X5,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_190,plain,
    ! [X12,X3,X5,X7,X4] : lhs_atom24(X12,X3,X5,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_191,plain,
    ! [X12,X3,X5,X7,X4] : lhs_atom16(X12,X3,X5,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_192,plain,
    ! [X6,X3,X5,X7,X4] : lhs_atom15(X6,X3,X5,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_193,plain,
    ! [X6,X3,X5,X7,X4] : lhs_atom3(X6,X3,X5,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_194,plain,
    ! [X13,X6,X11,X7] : lhs_atom140(X13,X6,X11,X7),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_195,plain,
    ! [X13,X6,X11,X7] : lhs_atom138(X13,X6,X11,X7),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_196,plain,
    ! [X13,X6,X7,X4] : lhs_atom134(X13,X6,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_197,plain,
    ! [X26,X6,X7,X4] : lhs_atom133(X26,X6,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_198,plain,
    ! [X26,X6,X7,X4] : lhs_atom132(X26,X6,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_199,plain,
    ! [X26,X6,X7,X4] : lhs_atom112(X26,X6,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_200,plain,
    ! [X6,X1,X25,X4] : lhs_atom106(X6,X1,X25,X4),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_201,plain,
    ! [X2,X3,X5,X4] : lhs_atom100(X2,X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_202,plain,
    ! [X2,X3,X5,X4] : lhs_atom98(X2,X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_203,plain,
    ! [X2,X3,X5,X4] : lhs_atom96(X2,X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_204,plain,
    ! [X2,X3,X5,X4] : lhs_atom85(X2,X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_205,plain,
    ! [X2,X3,X5,X4] : lhs_atom84(X2,X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_206,plain,
    ! [X2,X3,X5,X4] : lhs_atom69(X2,X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_207,plain,
    ! [X1,X3,X7,X4] : lhs_atom67(X1,X3,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_208,plain,
    ! [X2,X3,X5,X4] : lhs_atom54(X2,X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_209,plain,
    ! [X6,X5,X7,X4] : lhs_atom53(X6,X5,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_210,plain,
    ! [X2,X3,X5,X4] : lhs_atom50(X2,X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_211,plain,
    ! [X2,X3,X5,X4] : lhs_atom49(X2,X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_212,plain,
    ! [X3,X5,X7,X4] : lhs_atom48(X3,X5,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_213,plain,
    ! [X3,X5,X7,X4] : lhs_atom47(X3,X5,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_214,plain,
    ! [X2,X3,X5,X4] : lhs_atom45(X2,X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_215,plain,
    ! [X2,X3,X5,X4] : lhs_atom44(X2,X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_216,plain,
    ! [X2,X3,X5,X4] : lhs_atom40(X2,X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_217,plain,
    ! [X2,X3,X5,X4] : lhs_atom34(X2,X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_218,plain,
    ! [X2,X3,X5,X4] : lhs_atom33(X2,X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_219,plain,
    ! [X9,X6,X7,X4] : lhs_atom31(X9,X6,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_220,plain,
    ! [X17,X8,X7,X4] : lhs_atom29(X17,X8,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_221,plain,
    ! [X3,X5,X7,X4] : lhs_atom27(X3,X5,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_222,plain,
    ! [X16,X9,X5,X4] : lhs_atom26(X16,X9,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_223,plain,
    ! [X2,X3,X5,X4] : lhs_atom20(X2,X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_224,plain,
    ! [X2,X3,X5,X4] : lhs_atom19(X2,X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_225,plain,
    ! [X6,X10,X11,X7] : lhs_atom14(X6,X10,X11,X7),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_226,plain,
    ! [X1,X3,X5,X4] : lhs_atom11(X1,X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_227,plain,
    ! [X1,X3,X5,X4] : lhs_atom10(X1,X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_228,plain,
    ! [X1,X3,X5,X4] : lhs_atom9(X1,X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_229,plain,
    ! [X6,X5,X7,X4] : lhs_atom4(X6,X5,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_230,plain,
    ! [X1,X3,X5,X4] : lhs_atom2(X1,X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_231,plain,
    ! [X1,X2,X3,X4] : lhs_atom1(X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_232,plain,
    ! [X6,X7,X4] : lhs_atom130(X6,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_233,plain,
    ! [X6,X7,X4] : lhs_atom131(X6,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_234,plain,
    ! [X6,X7,X4] : lhs_atom130(X6,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_235,plain,
    ! [X28,X9,X4] : lhs_atom129(X28,X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_236,plain,
    ! [X1,X5,X4] : lhs_atom127(X1,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_237,plain,
    ! [X12,X7,X4] : lhs_atom126(X12,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_238,plain,
    ! [X9,X6,X4] : lhs_atom115(X9,X6,X4),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_239,plain,
    ! [X1,X5,X4] : lhs_atom111(X1,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_240,plain,
    ! [X6,X7,X4] : lhs_atom107(X6,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_241,plain,
    ! [X13,X7,X4] : lhs_atom89(X13,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_242,plain,
    ! [X6,X7,X4] : lhs_atom88(X6,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_243,plain,
    ! [X3,X5,X4] : lhs_atom87(X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_244,plain,
    ! [X9,X5,X4] : lhs_atom86(X9,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_245,plain,
    ! [X9,X3,X4] : lhs_atom83(X9,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_246,plain,
    ! [X1,X3,X4] : lhs_atom82(X1,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_247,plain,
    ! [X9,X5,X4] : lhs_atom81(X9,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_248,plain,
    ! [X3,X5,X4] : lhs_atom76(X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_249,plain,
    ! [X3,X5,X4] : lhs_atom75(X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_250,plain,
    ! [X1,X5,X4] : lhs_atom74(X1,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_251,plain,
    ! [X3,X5,X4] : lhs_atom72(X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_252,plain,
    ! [X1,X3,X4] : lhs_atom71(X1,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_253,plain,
    ! [X3,X5,X4] : lhs_atom64(X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_254,plain,
    ! [X3,X5,X4] : lhs_atom63(X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_255,plain,
    ! [X9,X6,X4] : lhs_atom59(X9,X6,X4),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_256,plain,
    ! [X3,X5,X4] : lhs_atom57(X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_257,plain,
    ! [X3,X5,X4] : lhs_atom43(X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_258,plain,
    ! [X3,X5,X4] : lhs_atom42(X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_259,plain,
    ! [X10,X7,X4] : lhs_atom41(X10,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_260,plain,
    ! [X1,X5,X4] : lhs_atom39(X1,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_261,plain,
    ! [X3,X5,X4] : lhs_atom38(X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_262,plain,
    ! [X3,X5,X4] : lhs_atom37(X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_263,plain,
    ! [X3,X5,X4] : lhs_atom36(X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_264,plain,
    ! [X3,X5,X4] : lhs_atom35(X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_265,plain,
    ! [X3,X5,X4] : lhs_atom30(X3,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_266,plain,
    ! [X13,X7,X4] : lhs_atom22(X13,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_267,plain,
    ! [X6,X7,X4] : lhs_atom21(X6,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_268,plain,
    ! [X1,X3,X4] : lhs_atom13(X1,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_269,plain,
    ! [X9,X5,X4] : lhs_atom12(X9,X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_270,plain,
    ! [X6,X7,X4] : lhs_atom6(X6,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_271,plain,
    ! [X9,X4] : lhs_atom171(X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_272,plain,
    ! [X9,X4] : lhs_atom147(X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_273,plain,
    ! [X1,X4] : lhs_atom145(X1,X4),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_274,plain,
    ! [X10,X4] : lhs_atom144(X10,X4),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_275,plain,
    ! [X9,X4] : lhs_atom143(X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_276,plain,
    ! [X9,X4] : lhs_atom142(X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_277,plain,
    ! [X30,X4] : lhs_atom141(X30,X4),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_278,plain,
    ! [X18,X7] : lhs_atom137(X18,X7),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_279,plain,
    ! [X29,X12] : lhs_atom136(X29,X12),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_280,plain,
    ! [X29,X12] : lhs_atom135(X29,X12),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_281,plain,
    ! [X5,X4] : lhs_atom128(X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_282,plain,
    ! [X3,X4] : lhs_atom125(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_283,plain,
    ! [X5,X4] : lhs_atom124(X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_284,plain,
    ! [X5,X4] : lhs_atom122(X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_285,plain,
    ! [X5,X4] : lhs_atom121(X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_286,plain,
    ! [X5,X4] : lhs_atom120(X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_287,plain,
    ! [X3,X4] : lhs_atom119(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_288,plain,
    ! [X5,X4] : lhs_atom118(X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_289,plain,
    ! [X5,X4] : lhs_atom117(X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_290,plain,
    ! [X27,X12] : lhs_atom114(X27,X12),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_291,plain,
    ! [X22,X4] : lhs_atom109(X22,X4),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_292,plain,
    ! [X5,X4] : lhs_atom104(X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_293,plain,
    ! [X1,X4] : lhs_atom102(X1,X4),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_294,plain,
    ! [X1,X4] : lhs_atom97(X1,X4),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_295,plain,
    ! [X5,X4] : lhs_atom95(X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_296,plain,
    ! [X9,X4] : lhs_atom94(X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_297,plain,
    ! [X5,X4] : lhs_atom93(X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_298,plain,
    ! [X9,X4] : lhs_atom80(X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_299,plain,
    ! [X9,X4] : lhs_atom78(X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_300,plain,
    ! [X21,X4] : lhs_atom73(X21,X4),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_301,plain,
    ! [X5,X4] : lhs_atom68(X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_302,plain,
    ! [X5,X4] : lhs_atom65(X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_303,plain,
    ! [X5,X4] : lhs_atom61(X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_304,plain,
    ! [X9,X4] : lhs_atom56(X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_305,plain,
    ! [X9,X4] : lhs_atom55(X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_306,plain,
    ! [X5,X4] : lhs_atom52(X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_307,plain,
    ! [X3,X4] : lhs_atom51(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_308,plain,
    ! [X5,X4] : lhs_atom25(X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_309,plain,
    ! [X5,X4] : lhs_atom23(X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_310,plain,
    ! [X5,X4] : lhs_atom8(X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_311,plain,
    ! [X3,X4] : lhs_atom7(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_312,plain,
    ! [X8,X4] : lhs_atom5(X8,X4),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_313,plain,
    ! [X4] : lhs_atom123(X4),
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_314,plain,
    ! [X4] : lhs_atom116(X4),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_315,plain,
    ! [X4] : lhs_atom113(X4),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_316,plain,
    ! [X4] : lhs_atom108(X4),
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_317,plain,
    ! [X23] : lhs_atom92(X23),
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_318,plain,
    ! [X23] : lhs_atom91(X23),
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_319,plain,
    lhs_atom170,
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_320,plain,
    lhs_atom169,
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_321,plain,
    lhs_atom168,
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_322,plain,
    lhs_atom167,
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_323,plain,
    lhs_atom166,
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_324,plain,
    lhs_atom165,
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_325,plain,
    lhs_atom164,
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_326,plain,
    lhs_atom163,
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_327,plain,
    lhs_atom162,
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_328,plain,
    lhs_atom161,
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_329,plain,
    lhs_atom160,
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_330,plain,
    lhs_atom159,
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_331,plain,
    lhs_atom158,
    inference(fof_simplification,[status(thm)],[c_0_159]) ).

fof(c_0_332,plain,
    lhs_atom157,
    inference(fof_simplification,[status(thm)],[c_0_160]) ).

fof(c_0_333,plain,
    lhs_atom156,
    inference(fof_simplification,[status(thm)],[c_0_161]) ).

fof(c_0_334,plain,
    lhs_atom155,
    inference(fof_simplification,[status(thm)],[c_0_162]) ).

fof(c_0_335,plain,
    lhs_atom154,
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_336,plain,
    lhs_atom153,
    inference(fof_simplification,[status(thm)],[c_0_164]) ).

fof(c_0_337,plain,
    lhs_atom152,
    inference(fof_simplification,[status(thm)],[c_0_165]) ).

fof(c_0_338,plain,
    lhs_atom151,
    inference(fof_simplification,[status(thm)],[c_0_166]) ).

fof(c_0_339,plain,
    lhs_atom150,
    inference(fof_simplification,[status(thm)],[c_0_167]) ).

fof(c_0_340,plain,
    lhs_atom149,
    inference(fof_simplification,[status(thm)],[c_0_168]) ).

fof(c_0_341,plain,
    lhs_atom148,
    inference(fof_simplification,[status(thm)],[c_0_169]) ).

fof(c_0_342,plain,
    lhs_atom146,
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_343,plain,
    lhs_atom139,
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_344,plain,
    ! [X21,X22,X23,X24,X25,X26,X27] : lhs_atom105(X21,X22,X23,X24,X25,X26,X27),
    inference(variable_rename,[status(thm)],[c_0_172]) ).

fof(c_0_345,plain,
    ! [X21,X22,X23,X24,X25,X26,X27] : lhs_atom66(X21,X22,X23,X24,X25,X26,X27),
    inference(variable_rename,[status(thm)],[c_0_173]) ).

fof(c_0_346,plain,
    ! [X23,X24,X25,X26,X27,X28] : lhs_atom90(X23,X24,X25,X26,X27,X28),
    inference(variable_rename,[status(thm)],[c_0_174]) ).

fof(c_0_347,plain,
    ! [X14,X15,X16,X17,X18,X19] : lhs_atom70(X14,X15,X16,X17,X18,X19),
    inference(variable_rename,[status(thm)],[c_0_175]) ).

fof(c_0_348,plain,
    ! [X14,X15,X16,X17,X18,X19] : lhs_atom62(X14,X15,X16,X17,X18,X19),
    inference(variable_rename,[status(thm)],[c_0_176]) ).

fof(c_0_349,plain,
    ! [X18,X19,X20,X21,X22,X23] : lhs_atom28(X18,X19,X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_177]) ).

fof(c_0_350,plain,
    ! [X16,X17,X18,X19,X20,X21] : lhs_atom18(X16,X17,X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_178]) ).

fof(c_0_351,plain,
    ! [X14,X15,X16,X17,X18,X19] : lhs_atom17(X14,X15,X16,X17,X18,X19),
    inference(variable_rename,[status(thm)],[c_0_179]) ).

fof(c_0_352,plain,
    ! [X27,X28,X29,X30,X31] : lhs_atom110(X27,X28,X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_180]) ).

fof(c_0_353,plain,
    ! [X8,X9,X10,X11,X12] : lhs_atom103(X8,X9,X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_181]) ).

fof(c_0_354,plain,
    ! [X25,X26,X27,X28,X29] : lhs_atom101(X25,X26,X27,X28,X29),
    inference(variable_rename,[status(thm)],[c_0_182]) ).

fof(c_0_355,plain,
    ! [X8,X9,X10,X11,X12] : lhs_atom99(X8,X9,X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_183]) ).

fof(c_0_356,plain,
    ! [X8,X9,X10,X11,X12] : lhs_atom79(X8,X9,X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_184]) ).

fof(c_0_357,plain,
    ! [X8,X9,X10,X11,X12] : lhs_atom77(X8,X9,X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_185]) ).

fof(c_0_358,plain,
    ! [X8,X9,X10,X11,X12] : lhs_atom60(X8,X9,X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_186]) ).

fof(c_0_359,plain,
    ! [X8,X9,X10,X11,X12] : lhs_atom58(X8,X9,X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_187]) ).

fof(c_0_360,plain,
    ! [X19,X20,X21,X22,X23] : lhs_atom46(X19,X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_188]) ).

fof(c_0_361,plain,
    ! [X8,X9,X10,X11,X12] : lhs_atom32(X8,X9,X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_189]) ).

fof(c_0_362,plain,
    ! [X13,X14,X15,X16,X17] : lhs_atom24(X13,X14,X15,X16,X17),
    inference(variable_rename,[status(thm)],[c_0_190]) ).

fof(c_0_363,plain,
    ! [X13,X14,X15,X16,X17] : lhs_atom16(X13,X14,X15,X16,X17),
    inference(variable_rename,[status(thm)],[c_0_191]) ).

fof(c_0_364,plain,
    ! [X8,X9,X10,X11,X12] : lhs_atom15(X8,X9,X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_192]) ).

fof(c_0_365,plain,
    ! [X8,X9,X10,X11,X12] : lhs_atom3(X8,X9,X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_193]) ).

fof(c_0_366,plain,
    ! [X14,X15,X16,X17] : lhs_atom140(X14,X15,X16,X17),
    inference(variable_rename,[status(thm)],[c_0_194]) ).

fof(c_0_367,plain,
    ! [X14,X15,X16,X17] : lhs_atom138(X14,X15,X16,X17),
    inference(variable_rename,[status(thm)],[c_0_195]) ).

fof(c_0_368,plain,
    ! [X14,X15,X16,X17] : lhs_atom134(X14,X15,X16,X17),
    inference(variable_rename,[status(thm)],[c_0_196]) ).

fof(c_0_369,plain,
    ! [X27,X28,X29,X30] : lhs_atom133(X27,X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_197]) ).

fof(c_0_370,plain,
    ! [X27,X28,X29,X30] : lhs_atom132(X27,X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_198]) ).

fof(c_0_371,plain,
    ! [X27,X28,X29,X30] : lhs_atom112(X27,X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_199]) ).

fof(c_0_372,plain,
    ! [X26,X27,X28,X29] : lhs_atom106(X26,X27,X28,X29),
    inference(variable_rename,[status(thm)],[c_0_200]) ).

fof(c_0_373,plain,
    ! [X6,X7,X8,X9] : lhs_atom100(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_201]) ).

fof(c_0_374,plain,
    ! [X6,X7,X8,X9] : lhs_atom98(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_202]) ).

fof(c_0_375,plain,
    ! [X6,X7,X8,X9] : lhs_atom96(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_203]) ).

fof(c_0_376,plain,
    ! [X6,X7,X8,X9] : lhs_atom85(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_204]) ).

fof(c_0_377,plain,
    ! [X6,X7,X8,X9] : lhs_atom84(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_205]) ).

fof(c_0_378,plain,
    ! [X6,X7,X8,X9] : lhs_atom69(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_206]) ).

fof(c_0_379,plain,
    ! [X8,X9,X10,X11] : lhs_atom67(X8,X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_207]) ).

fof(c_0_380,plain,
    ! [X6,X7,X8,X9] : lhs_atom54(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_208]) ).

fof(c_0_381,plain,
    ! [X8,X9,X10,X11] : lhs_atom53(X8,X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_209]) ).

fof(c_0_382,plain,
    ! [X6,X7,X8,X9] : lhs_atom50(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_210]) ).

fof(c_0_383,plain,
    ! [X6,X7,X8,X9] : lhs_atom49(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_211]) ).

fof(c_0_384,plain,
    ! [X8,X9,X10,X11] : lhs_atom48(X8,X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_212]) ).

fof(c_0_385,plain,
    ! [X8,X9,X10,X11] : lhs_atom47(X8,X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_213]) ).

fof(c_0_386,plain,
    ! [X6,X7,X8,X9] : lhs_atom45(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_214]) ).

fof(c_0_387,plain,
    ! [X6,X7,X8,X9] : lhs_atom44(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_215]) ).

fof(c_0_388,plain,
    ! [X6,X7,X8,X9] : lhs_atom40(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_216]) ).

fof(c_0_389,plain,
    ! [X6,X7,X8,X9] : lhs_atom34(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_217]) ).

fof(c_0_390,plain,
    ! [X6,X7,X8,X9] : lhs_atom33(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_218]) ).

fof(c_0_391,plain,
    ! [X10,X11,X12,X13] : lhs_atom31(X10,X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_219]) ).

fof(c_0_392,plain,
    ! [X18,X19,X20,X21] : lhs_atom29(X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_220]) ).

fof(c_0_393,plain,
    ! [X8,X9,X10,X11] : lhs_atom27(X8,X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_221]) ).

fof(c_0_394,plain,
    ! [X17,X18,X19,X20] : lhs_atom26(X17,X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_222]) ).

fof(c_0_395,plain,
    ! [X6,X7,X8,X9] : lhs_atom20(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_223]) ).

fof(c_0_396,plain,
    ! [X6,X7,X8,X9] : lhs_atom19(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_224]) ).

fof(c_0_397,plain,
    ! [X12,X13,X14,X15] : lhs_atom14(X12,X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_225]) ).

fof(c_0_398,plain,
    ! [X6,X7,X8,X9] : lhs_atom11(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_226]) ).

fof(c_0_399,plain,
    ! [X6,X7,X8,X9] : lhs_atom10(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_227]) ).

fof(c_0_400,plain,
    ! [X6,X7,X8,X9] : lhs_atom9(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_228]) ).

fof(c_0_401,plain,
    ! [X8,X9,X10,X11] : lhs_atom4(X8,X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_229]) ).

fof(c_0_402,plain,
    ! [X6,X7,X8,X9] : lhs_atom2(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_230]) ).

fof(c_0_403,plain,
    ! [X5,X6,X7,X8] : lhs_atom1(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_231]) ).

fof(c_0_404,plain,
    ! [X8,X9,X10] : lhs_atom130(X8,X9,X10),
    inference(variable_rename,[status(thm)],[c_0_232]) ).

fof(c_0_405,plain,
    ! [X8,X9,X10] : lhs_atom131(X8,X9,X10),
    inference(variable_rename,[status(thm)],[c_0_233]) ).

fof(c_0_406,plain,
    ! [X8,X9,X10] : lhs_atom130(X8,X9,X10),
    inference(variable_rename,[status(thm)],[c_0_234]) ).

fof(c_0_407,plain,
    ! [X29,X30,X31] : lhs_atom129(X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_235]) ).

fof(c_0_408,plain,
    ! [X6,X7,X8] : lhs_atom127(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_236]) ).

fof(c_0_409,plain,
    ! [X13,X14,X15] : lhs_atom126(X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_237]) ).

fof(c_0_410,plain,
    ! [X10,X11,X12] : lhs_atom115(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_238]) ).

fof(c_0_411,plain,
    ! [X6,X7,X8] : lhs_atom111(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_239]) ).

fof(c_0_412,plain,
    ! [X8,X9,X10] : lhs_atom107(X8,X9,X10),
    inference(variable_rename,[status(thm)],[c_0_240]) ).

fof(c_0_413,plain,
    ! [X14,X15,X16] : lhs_atom89(X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_241]) ).

fof(c_0_414,plain,
    ! [X8,X9,X10] : lhs_atom88(X8,X9,X10),
    inference(variable_rename,[status(thm)],[c_0_242]) ).

fof(c_0_415,plain,
    ! [X6,X7,X8] : lhs_atom87(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_243]) ).

fof(c_0_416,plain,
    ! [X10,X11,X12] : lhs_atom86(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_244]) ).

fof(c_0_417,plain,
    ! [X10,X11,X12] : lhs_atom83(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_245]) ).

fof(c_0_418,plain,
    ! [X5,X6,X7] : lhs_atom82(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_246]) ).

fof(c_0_419,plain,
    ! [X10,X11,X12] : lhs_atom81(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_247]) ).

fof(c_0_420,plain,
    ! [X6,X7,X8] : lhs_atom76(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_248]) ).

fof(c_0_421,plain,
    ! [X6,X7,X8] : lhs_atom75(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_249]) ).

fof(c_0_422,plain,
    ! [X6,X7,X8] : lhs_atom74(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_250]) ).

fof(c_0_423,plain,
    ! [X6,X7,X8] : lhs_atom72(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_251]) ).

fof(c_0_424,plain,
    ! [X5,X6,X7] : lhs_atom71(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_252]) ).

fof(c_0_425,plain,
    ! [X6,X7,X8] : lhs_atom64(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_253]) ).

fof(c_0_426,plain,
    ! [X6,X7,X8] : lhs_atom63(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_254]) ).

fof(c_0_427,plain,
    ! [X10,X11,X12] : lhs_atom59(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_255]) ).

fof(c_0_428,plain,
    ! [X6,X7,X8] : lhs_atom57(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_256]) ).

fof(c_0_429,plain,
    ! [X6,X7,X8] : lhs_atom43(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_257]) ).

fof(c_0_430,plain,
    ! [X6,X7,X8] : lhs_atom42(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_258]) ).

fof(c_0_431,plain,
    ! [X11,X12,X13] : lhs_atom41(X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_259]) ).

fof(c_0_432,plain,
    ! [X6,X7,X8] : lhs_atom39(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_260]) ).

fof(c_0_433,plain,
    ! [X6,X7,X8] : lhs_atom38(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_261]) ).

fof(c_0_434,plain,
    ! [X6,X7,X8] : lhs_atom37(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_262]) ).

fof(c_0_435,plain,
    ! [X6,X7,X8] : lhs_atom36(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_263]) ).

fof(c_0_436,plain,
    ! [X6,X7,X8] : lhs_atom35(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_264]) ).

fof(c_0_437,plain,
    ! [X6,X7,X8] : lhs_atom30(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_265]) ).

fof(c_0_438,plain,
    ! [X14,X15,X16] : lhs_atom22(X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_266]) ).

fof(c_0_439,plain,
    ! [X8,X9,X10] : lhs_atom21(X8,X9,X10),
    inference(variable_rename,[status(thm)],[c_0_267]) ).

fof(c_0_440,plain,
    ! [X5,X6,X7] : lhs_atom13(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_268]) ).

fof(c_0_441,plain,
    ! [X10,X11,X12] : lhs_atom12(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_269]) ).

fof(c_0_442,plain,
    ! [X8,X9,X10] : lhs_atom6(X8,X9,X10),
    inference(variable_rename,[status(thm)],[c_0_270]) ).

fof(c_0_443,plain,
    ! [X10,X11] : lhs_atom171(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_271]) ).

fof(c_0_444,plain,
    ! [X10,X11] : lhs_atom147(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_272]) ).

fof(c_0_445,plain,
    ! [X5,X6] : lhs_atom145(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_273]) ).

fof(c_0_446,plain,
    ! [X11,X12] : lhs_atom144(X11,X12),
    inference(variable_rename,[status(thm)],[c_0_274]) ).

fof(c_0_447,plain,
    ! [X10,X11] : lhs_atom143(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_275]) ).

fof(c_0_448,plain,
    ! [X10,X11] : lhs_atom142(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_276]) ).

fof(c_0_449,plain,
    ! [X31,X32] : lhs_atom141(X31,X32),
    inference(variable_rename,[status(thm)],[c_0_277]) ).

fof(c_0_450,plain,
    ! [X19,X20] : lhs_atom137(X19,X20),
    inference(variable_rename,[status(thm)],[c_0_278]) ).

fof(c_0_451,plain,
    ! [X30,X31] : lhs_atom136(X30,X31),
    inference(variable_rename,[status(thm)],[c_0_279]) ).

fof(c_0_452,plain,
    ! [X30,X31] : lhs_atom135(X30,X31),
    inference(variable_rename,[status(thm)],[c_0_280]) ).

fof(c_0_453,plain,
    ! [X6,X7] : lhs_atom128(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_281]) ).

fof(c_0_454,plain,
    ! [X5,X6] : lhs_atom125(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_282]) ).

fof(c_0_455,plain,
    ! [X6,X7] : lhs_atom124(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_283]) ).

fof(c_0_456,plain,
    ! [X6,X7] : lhs_atom122(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_284]) ).

fof(c_0_457,plain,
    ! [X6,X7] : lhs_atom121(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_285]) ).

fof(c_0_458,plain,
    ! [X6,X7] : lhs_atom120(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_286]) ).

fof(c_0_459,plain,
    ! [X5,X6] : lhs_atom119(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_287]) ).

fof(c_0_460,plain,
    ! [X6,X7] : lhs_atom118(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_288]) ).

fof(c_0_461,plain,
    ! [X6,X7] : lhs_atom117(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_289]) ).

fof(c_0_462,plain,
    ! [X28,X29] : lhs_atom114(X28,X29),
    inference(variable_rename,[status(thm)],[c_0_290]) ).

fof(c_0_463,plain,
    ! [X23,X24] : lhs_atom109(X23,X24),
    inference(variable_rename,[status(thm)],[c_0_291]) ).

fof(c_0_464,plain,
    ! [X6,X7] : lhs_atom104(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_292]) ).

fof(c_0_465,plain,
    ! [X5,X6] : lhs_atom102(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_293]) ).

fof(c_0_466,plain,
    ! [X5,X6] : lhs_atom97(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_294]) ).

fof(c_0_467,plain,
    ! [X6,X7] : lhs_atom95(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_295]) ).

fof(c_0_468,plain,
    ! [X10,X11] : lhs_atom94(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_296]) ).

fof(c_0_469,plain,
    ! [X6,X7] : lhs_atom93(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_297]) ).

fof(c_0_470,plain,
    ! [X10,X11] : lhs_atom80(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_298]) ).

fof(c_0_471,plain,
    ! [X10,X11] : lhs_atom78(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_299]) ).

fof(c_0_472,plain,
    ! [X22,X23] : lhs_atom73(X22,X23),
    inference(variable_rename,[status(thm)],[c_0_300]) ).

fof(c_0_473,plain,
    ! [X6,X7] : lhs_atom68(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_301]) ).

fof(c_0_474,plain,
    ! [X6,X7] : lhs_atom65(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_302]) ).

fof(c_0_475,plain,
    ! [X6,X7] : lhs_atom61(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_303]) ).

fof(c_0_476,plain,
    ! [X10,X11] : lhs_atom56(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_304]) ).

fof(c_0_477,plain,
    ! [X10,X11] : lhs_atom55(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_305]) ).

fof(c_0_478,plain,
    ! [X6,X7] : lhs_atom52(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_306]) ).

fof(c_0_479,plain,
    ! [X5,X6] : lhs_atom51(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_307]) ).

fof(c_0_480,plain,
    ! [X6,X7] : lhs_atom25(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_308]) ).

fof(c_0_481,plain,
    ! [X6,X7] : lhs_atom23(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_309]) ).

fof(c_0_482,plain,
    ! [X6,X7] : lhs_atom8(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_310]) ).

fof(c_0_483,plain,
    ! [X5,X6] : lhs_atom7(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_311]) ).

fof(c_0_484,plain,
    ! [X9,X10] : lhs_atom5(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_312]) ).

fof(c_0_485,plain,
    ! [X5] : lhs_atom123(X5),
    inference(variable_rename,[status(thm)],[c_0_313]) ).

fof(c_0_486,plain,
    ! [X5] : lhs_atom116(X5),
    inference(variable_rename,[status(thm)],[c_0_314]) ).

fof(c_0_487,plain,
    ! [X5] : lhs_atom113(X5),
    inference(variable_rename,[status(thm)],[c_0_315]) ).

fof(c_0_488,plain,
    ! [X5] : lhs_atom108(X5),
    inference(variable_rename,[status(thm)],[c_0_316]) ).

fof(c_0_489,plain,
    ! [X24] : lhs_atom92(X24),
    inference(variable_rename,[status(thm)],[c_0_317]) ).

fof(c_0_490,plain,
    ! [X24] : lhs_atom91(X24),
    inference(variable_rename,[status(thm)],[c_0_318]) ).

fof(c_0_491,plain,
    lhs_atom170,
    c_0_319 ).

fof(c_0_492,plain,
    lhs_atom169,
    c_0_320 ).

fof(c_0_493,plain,
    lhs_atom168,
    c_0_321 ).

fof(c_0_494,plain,
    lhs_atom167,
    c_0_322 ).

fof(c_0_495,plain,
    lhs_atom166,
    c_0_323 ).

fof(c_0_496,plain,
    lhs_atom165,
    c_0_324 ).

fof(c_0_497,plain,
    lhs_atom164,
    c_0_325 ).

fof(c_0_498,plain,
    lhs_atom163,
    c_0_326 ).

fof(c_0_499,plain,
    lhs_atom162,
    c_0_327 ).

fof(c_0_500,plain,
    lhs_atom161,
    c_0_328 ).

fof(c_0_501,plain,
    lhs_atom160,
    c_0_329 ).

fof(c_0_502,plain,
    lhs_atom159,
    c_0_330 ).

fof(c_0_503,plain,
    lhs_atom158,
    c_0_331 ).

fof(c_0_504,plain,
    lhs_atom157,
    c_0_332 ).

fof(c_0_505,plain,
    lhs_atom156,
    c_0_333 ).

fof(c_0_506,plain,
    lhs_atom155,
    c_0_334 ).

fof(c_0_507,plain,
    lhs_atom154,
    c_0_335 ).

fof(c_0_508,plain,
    lhs_atom153,
    c_0_336 ).

fof(c_0_509,plain,
    lhs_atom152,
    c_0_337 ).

fof(c_0_510,plain,
    lhs_atom151,
    c_0_338 ).

fof(c_0_511,plain,
    lhs_atom150,
    c_0_339 ).

fof(c_0_512,plain,
    lhs_atom149,
    c_0_340 ).

fof(c_0_513,plain,
    lhs_atom148,
    c_0_341 ).

fof(c_0_514,plain,
    lhs_atom146,
    c_0_342 ).

fof(c_0_515,plain,
    lhs_atom139,
    c_0_343 ).

cnf(c_0_516,plain,
    lhs_atom105(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_344]) ).

cnf(c_0_517,plain,
    lhs_atom66(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_345]) ).

cnf(c_0_518,plain,
    lhs_atom90(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_346]) ).

cnf(c_0_519,plain,
    lhs_atom70(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_347]) ).

cnf(c_0_520,plain,
    lhs_atom62(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_348]) ).

cnf(c_0_521,plain,
    lhs_atom28(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_349]) ).

cnf(c_0_522,plain,
    lhs_atom18(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_350]) ).

cnf(c_0_523,plain,
    lhs_atom17(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_351]) ).

cnf(c_0_524,plain,
    lhs_atom110(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_352]) ).

cnf(c_0_525,plain,
    lhs_atom103(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_353]) ).

cnf(c_0_526,plain,
    lhs_atom101(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_354]) ).

cnf(c_0_527,plain,
    lhs_atom99(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_355]) ).

cnf(c_0_528,plain,
    lhs_atom79(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_356]) ).

cnf(c_0_529,plain,
    lhs_atom77(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_357]) ).

cnf(c_0_530,plain,
    lhs_atom60(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_358]) ).

cnf(c_0_531,plain,
    lhs_atom58(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_359]) ).

cnf(c_0_532,plain,
    lhs_atom46(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_360]) ).

cnf(c_0_533,plain,
    lhs_atom32(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_361]) ).

cnf(c_0_534,plain,
    lhs_atom24(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_362]) ).

cnf(c_0_535,plain,
    lhs_atom16(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_363]) ).

cnf(c_0_536,plain,
    lhs_atom15(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_364]) ).

cnf(c_0_537,plain,
    lhs_atom3(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_365]) ).

cnf(c_0_538,plain,
    lhs_atom140(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_366]) ).

cnf(c_0_539,plain,
    lhs_atom138(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_367]) ).

cnf(c_0_540,plain,
    lhs_atom134(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_368]) ).

cnf(c_0_541,plain,
    lhs_atom133(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_369]) ).

cnf(c_0_542,plain,
    lhs_atom132(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_370]) ).

cnf(c_0_543,plain,
    lhs_atom112(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_371]) ).

cnf(c_0_544,plain,
    lhs_atom106(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_372]) ).

cnf(c_0_545,plain,
    lhs_atom100(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_373]) ).

cnf(c_0_546,plain,
    lhs_atom98(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_374]) ).

cnf(c_0_547,plain,
    lhs_atom96(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_375]) ).

cnf(c_0_548,plain,
    lhs_atom85(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_376]) ).

cnf(c_0_549,plain,
    lhs_atom84(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_377]) ).

cnf(c_0_550,plain,
    lhs_atom69(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_378]) ).

cnf(c_0_551,plain,
    lhs_atom67(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_379]) ).

cnf(c_0_552,plain,
    lhs_atom54(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_380]) ).

cnf(c_0_553,plain,
    lhs_atom53(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_381]) ).

cnf(c_0_554,plain,
    lhs_atom50(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_382]) ).

cnf(c_0_555,plain,
    lhs_atom49(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_383]) ).

cnf(c_0_556,plain,
    lhs_atom48(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_384]) ).

cnf(c_0_557,plain,
    lhs_atom47(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_385]) ).

cnf(c_0_558,plain,
    lhs_atom45(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_386]) ).

cnf(c_0_559,plain,
    lhs_atom44(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_387]) ).

cnf(c_0_560,plain,
    lhs_atom40(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_388]) ).

cnf(c_0_561,plain,
    lhs_atom34(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_389]) ).

cnf(c_0_562,plain,
    lhs_atom33(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_390]) ).

cnf(c_0_563,plain,
    lhs_atom31(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_391]) ).

cnf(c_0_564,plain,
    lhs_atom29(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_392]) ).

cnf(c_0_565,plain,
    lhs_atom27(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_393]) ).

cnf(c_0_566,plain,
    lhs_atom26(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_394]) ).

cnf(c_0_567,plain,
    lhs_atom20(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_395]) ).

cnf(c_0_568,plain,
    lhs_atom19(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_396]) ).

cnf(c_0_569,plain,
    lhs_atom14(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_397]) ).

cnf(c_0_570,plain,
    lhs_atom11(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_398]) ).

cnf(c_0_571,plain,
    lhs_atom10(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_399]) ).

cnf(c_0_572,plain,
    lhs_atom9(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_400]) ).

cnf(c_0_573,plain,
    lhs_atom4(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_401]) ).

cnf(c_0_574,plain,
    lhs_atom2(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_402]) ).

cnf(c_0_575,plain,
    lhs_atom1(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_403]) ).

cnf(c_0_576,plain,
    lhs_atom130(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_404]) ).

cnf(c_0_577,plain,
    lhs_atom131(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_405]) ).

cnf(c_0_578,plain,
    lhs_atom130(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_406]) ).

cnf(c_0_579,plain,
    lhs_atom129(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_407]) ).

cnf(c_0_580,plain,
    lhs_atom127(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_408]) ).

cnf(c_0_581,plain,
    lhs_atom126(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_409]) ).

cnf(c_0_582,plain,
    lhs_atom115(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_410]) ).

cnf(c_0_583,plain,
    lhs_atom111(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_411]) ).

cnf(c_0_584,plain,
    lhs_atom107(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_412]) ).

cnf(c_0_585,plain,
    lhs_atom89(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_413]) ).

cnf(c_0_586,plain,
    lhs_atom88(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_414]) ).

cnf(c_0_587,plain,
    lhs_atom87(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_415]) ).

cnf(c_0_588,plain,
    lhs_atom86(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_416]) ).

cnf(c_0_589,plain,
    lhs_atom83(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_417]) ).

cnf(c_0_590,plain,
    lhs_atom82(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_418]) ).

cnf(c_0_591,plain,
    lhs_atom81(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_419]) ).

cnf(c_0_592,plain,
    lhs_atom76(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_420]) ).

cnf(c_0_593,plain,
    lhs_atom75(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_421]) ).

cnf(c_0_594,plain,
    lhs_atom74(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_422]) ).

cnf(c_0_595,plain,
    lhs_atom72(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_423]) ).

cnf(c_0_596,plain,
    lhs_atom71(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_424]) ).

cnf(c_0_597,plain,
    lhs_atom64(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_425]) ).

cnf(c_0_598,plain,
    lhs_atom63(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_426]) ).

cnf(c_0_599,plain,
    lhs_atom59(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_427]) ).

cnf(c_0_600,plain,
    lhs_atom57(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_428]) ).

cnf(c_0_601,plain,
    lhs_atom43(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_429]) ).

cnf(c_0_602,plain,
    lhs_atom42(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_430]) ).

cnf(c_0_603,plain,
    lhs_atom41(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_431]) ).

cnf(c_0_604,plain,
    lhs_atom39(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_432]) ).

cnf(c_0_605,plain,
    lhs_atom38(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_433]) ).

cnf(c_0_606,plain,
    lhs_atom37(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_434]) ).

cnf(c_0_607,plain,
    lhs_atom36(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_435]) ).

cnf(c_0_608,plain,
    lhs_atom35(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_436]) ).

cnf(c_0_609,plain,
    lhs_atom30(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_437]) ).

cnf(c_0_610,plain,
    lhs_atom22(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_438]) ).

cnf(c_0_611,plain,
    lhs_atom21(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_439]) ).

cnf(c_0_612,plain,
    lhs_atom13(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_440]) ).

cnf(c_0_613,plain,
    lhs_atom12(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_441]) ).

cnf(c_0_614,plain,
    lhs_atom6(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_442]) ).

cnf(c_0_615,plain,
    lhs_atom171(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_443]) ).

cnf(c_0_616,plain,
    lhs_atom147(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_444]) ).

cnf(c_0_617,plain,
    lhs_atom145(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_445]) ).

cnf(c_0_618,plain,
    lhs_atom144(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_446]) ).

cnf(c_0_619,plain,
    lhs_atom143(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_447]) ).

cnf(c_0_620,plain,
    lhs_atom142(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_448]) ).

cnf(c_0_621,plain,
    lhs_atom141(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_449]) ).

cnf(c_0_622,plain,
    lhs_atom137(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_450]) ).

cnf(c_0_623,plain,
    lhs_atom136(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_451]) ).

cnf(c_0_624,plain,
    lhs_atom135(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_452]) ).

cnf(c_0_625,plain,
    lhs_atom128(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_453]) ).

cnf(c_0_626,plain,
    lhs_atom125(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_454]) ).

cnf(c_0_627,plain,
    lhs_atom124(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_455]) ).

cnf(c_0_628,plain,
    lhs_atom122(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_456]) ).

cnf(c_0_629,plain,
    lhs_atom121(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_457]) ).

cnf(c_0_630,plain,
    lhs_atom120(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_458]) ).

cnf(c_0_631,plain,
    lhs_atom119(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_459]) ).

cnf(c_0_632,plain,
    lhs_atom118(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_460]) ).

cnf(c_0_633,plain,
    lhs_atom117(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_461]) ).

cnf(c_0_634,plain,
    lhs_atom114(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_462]) ).

cnf(c_0_635,plain,
    lhs_atom109(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_463]) ).

cnf(c_0_636,plain,
    lhs_atom104(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_464]) ).

cnf(c_0_637,plain,
    lhs_atom102(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_465]) ).

cnf(c_0_638,plain,
    lhs_atom97(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_466]) ).

cnf(c_0_639,plain,
    lhs_atom95(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_467]) ).

cnf(c_0_640,plain,
    lhs_atom94(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_468]) ).

cnf(c_0_641,plain,
    lhs_atom93(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_469]) ).

cnf(c_0_642,plain,
    lhs_atom80(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_470]) ).

cnf(c_0_643,plain,
    lhs_atom78(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_471]) ).

cnf(c_0_644,plain,
    lhs_atom73(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_472]) ).

cnf(c_0_645,plain,
    lhs_atom68(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_473]) ).

cnf(c_0_646,plain,
    lhs_atom65(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_474]) ).

cnf(c_0_647,plain,
    lhs_atom61(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_475]) ).

cnf(c_0_648,plain,
    lhs_atom56(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_476]) ).

cnf(c_0_649,plain,
    lhs_atom55(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_477]) ).

cnf(c_0_650,plain,
    lhs_atom52(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_478]) ).

cnf(c_0_651,plain,
    lhs_atom51(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_479]) ).

cnf(c_0_652,plain,
    lhs_atom25(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_480]) ).

cnf(c_0_653,plain,
    lhs_atom23(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_481]) ).

cnf(c_0_654,plain,
    lhs_atom8(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_482]) ).

cnf(c_0_655,plain,
    lhs_atom7(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_483]) ).

cnf(c_0_656,plain,
    lhs_atom5(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_484]) ).

cnf(c_0_657,plain,
    lhs_atom123(X1),
    inference(split_conjunct,[status(thm)],[c_0_485]) ).

cnf(c_0_658,plain,
    lhs_atom116(X1),
    inference(split_conjunct,[status(thm)],[c_0_486]) ).

cnf(c_0_659,plain,
    lhs_atom113(X1),
    inference(split_conjunct,[status(thm)],[c_0_487]) ).

cnf(c_0_660,plain,
    lhs_atom108(X1),
    inference(split_conjunct,[status(thm)],[c_0_488]) ).

cnf(c_0_661,plain,
    lhs_atom92(X1),
    inference(split_conjunct,[status(thm)],[c_0_489]) ).

cnf(c_0_662,plain,
    lhs_atom91(X1),
    inference(split_conjunct,[status(thm)],[c_0_490]) ).

cnf(c_0_663,plain,
    lhs_atom170,
    inference(split_conjunct,[status(thm)],[c_0_491]) ).

cnf(c_0_664,plain,
    lhs_atom169,
    inference(split_conjunct,[status(thm)],[c_0_492]) ).

cnf(c_0_665,plain,
    lhs_atom168,
    inference(split_conjunct,[status(thm)],[c_0_493]) ).

cnf(c_0_666,plain,
    lhs_atom167,
    inference(split_conjunct,[status(thm)],[c_0_494]) ).

cnf(c_0_667,plain,
    lhs_atom166,
    inference(split_conjunct,[status(thm)],[c_0_495]) ).

cnf(c_0_668,plain,
    lhs_atom165,
    inference(split_conjunct,[status(thm)],[c_0_496]) ).

cnf(c_0_669,plain,
    lhs_atom164,
    inference(split_conjunct,[status(thm)],[c_0_497]) ).

cnf(c_0_670,plain,
    lhs_atom163,
    inference(split_conjunct,[status(thm)],[c_0_498]) ).

cnf(c_0_671,plain,
    lhs_atom162,
    inference(split_conjunct,[status(thm)],[c_0_499]) ).

cnf(c_0_672,plain,
    lhs_atom161,
    inference(split_conjunct,[status(thm)],[c_0_500]) ).

cnf(c_0_673,plain,
    lhs_atom160,
    inference(split_conjunct,[status(thm)],[c_0_501]) ).

cnf(c_0_674,plain,
    lhs_atom159,
    inference(split_conjunct,[status(thm)],[c_0_502]) ).

cnf(c_0_675,plain,
    lhs_atom158,
    inference(split_conjunct,[status(thm)],[c_0_503]) ).

cnf(c_0_676,plain,
    lhs_atom157,
    inference(split_conjunct,[status(thm)],[c_0_504]) ).

cnf(c_0_677,plain,
    lhs_atom156,
    inference(split_conjunct,[status(thm)],[c_0_505]) ).

cnf(c_0_678,plain,
    lhs_atom155,
    inference(split_conjunct,[status(thm)],[c_0_506]) ).

cnf(c_0_679,plain,
    lhs_atom154,
    inference(split_conjunct,[status(thm)],[c_0_507]) ).

cnf(c_0_680,plain,
    lhs_atom153,
    inference(split_conjunct,[status(thm)],[c_0_508]) ).

cnf(c_0_681,plain,
    lhs_atom152,
    inference(split_conjunct,[status(thm)],[c_0_509]) ).

cnf(c_0_682,plain,
    lhs_atom151,
    inference(split_conjunct,[status(thm)],[c_0_510]) ).

cnf(c_0_683,plain,
    lhs_atom150,
    inference(split_conjunct,[status(thm)],[c_0_511]) ).

cnf(c_0_684,plain,
    lhs_atom149,
    inference(split_conjunct,[status(thm)],[c_0_512]) ).

cnf(c_0_685,plain,
    lhs_atom148,
    inference(split_conjunct,[status(thm)],[c_0_513]) ).

cnf(c_0_686,plain,
    lhs_atom146,
    inference(split_conjunct,[status(thm)],[c_0_514]) ).

cnf(c_0_687,plain,
    lhs_atom139,
    inference(split_conjunct,[status(thm)],[c_0_515]) ).

cnf(c_0_688,plain,
    lhs_atom105(X1,X2,X3,X4,X5,X6,X7),
    c_0_516,
    [final] ).

cnf(c_0_689,plain,
    lhs_atom66(X1,X2,X3,X4,X5,X6,X7),
    c_0_517,
    [final] ).

cnf(c_0_690,plain,
    lhs_atom90(X1,X2,X3,X4,X5,X6),
    c_0_518,
    [final] ).

cnf(c_0_691,plain,
    lhs_atom70(X1,X2,X3,X4,X5,X6),
    c_0_519,
    [final] ).

cnf(c_0_692,plain,
    lhs_atom62(X1,X2,X3,X4,X5,X6),
    c_0_520,
    [final] ).

cnf(c_0_693,plain,
    lhs_atom28(X1,X2,X3,X4,X5,X6),
    c_0_521,
    [final] ).

cnf(c_0_694,plain,
    lhs_atom18(X1,X2,X3,X4,X5,X6),
    c_0_522,
    [final] ).

cnf(c_0_695,plain,
    lhs_atom17(X1,X2,X3,X4,X5,X6),
    c_0_523,
    [final] ).

cnf(c_0_696,plain,
    lhs_atom110(X1,X2,X3,X4,X5),
    c_0_524,
    [final] ).

cnf(c_0_697,plain,
    lhs_atom103(X1,X2,X3,X4,X5),
    c_0_525,
    [final] ).

cnf(c_0_698,plain,
    lhs_atom101(X1,X2,X3,X4,X5),
    c_0_526,
    [final] ).

cnf(c_0_699,plain,
    lhs_atom99(X1,X2,X3,X4,X5),
    c_0_527,
    [final] ).

cnf(c_0_700,plain,
    lhs_atom79(X1,X2,X3,X4,X5),
    c_0_528,
    [final] ).

cnf(c_0_701,plain,
    lhs_atom77(X1,X2,X3,X4,X5),
    c_0_529,
    [final] ).

cnf(c_0_702,plain,
    lhs_atom60(X1,X2,X3,X4,X5),
    c_0_530,
    [final] ).

cnf(c_0_703,plain,
    lhs_atom58(X1,X2,X3,X4,X5),
    c_0_531,
    [final] ).

cnf(c_0_704,plain,
    lhs_atom46(X1,X2,X3,X4,X5),
    c_0_532,
    [final] ).

cnf(c_0_705,plain,
    lhs_atom32(X1,X2,X3,X4,X5),
    c_0_533,
    [final] ).

cnf(c_0_706,plain,
    lhs_atom24(X1,X2,X3,X4,X5),
    c_0_534,
    [final] ).

cnf(c_0_707,plain,
    lhs_atom16(X1,X2,X3,X4,X5),
    c_0_535,
    [final] ).

cnf(c_0_708,plain,
    lhs_atom15(X1,X2,X3,X4,X5),
    c_0_536,
    [final] ).

cnf(c_0_709,plain,
    lhs_atom3(X1,X2,X3,X4,X5),
    c_0_537,
    [final] ).

cnf(c_0_710,plain,
    lhs_atom140(X1,X2,X3,X4),
    c_0_538,
    [final] ).

cnf(c_0_711,plain,
    lhs_atom138(X1,X2,X3,X4),
    c_0_539,
    [final] ).

cnf(c_0_712,plain,
    lhs_atom134(X1,X2,X3,X4),
    c_0_540,
    [final] ).

cnf(c_0_713,plain,
    lhs_atom133(X1,X2,X3,X4),
    c_0_541,
    [final] ).

cnf(c_0_714,plain,
    lhs_atom132(X1,X2,X3,X4),
    c_0_542,
    [final] ).

cnf(c_0_715,plain,
    lhs_atom112(X1,X2,X3,X4),
    c_0_543,
    [final] ).

cnf(c_0_716,plain,
    lhs_atom106(X1,X2,X3,X4),
    c_0_544,
    [final] ).

cnf(c_0_717,plain,
    lhs_atom100(X1,X2,X3,X4),
    c_0_545,
    [final] ).

cnf(c_0_718,plain,
    lhs_atom98(X1,X2,X3,X4),
    c_0_546,
    [final] ).

cnf(c_0_719,plain,
    lhs_atom96(X1,X2,X3,X4),
    c_0_547,
    [final] ).

cnf(c_0_720,plain,
    lhs_atom85(X1,X2,X3,X4),
    c_0_548,
    [final] ).

cnf(c_0_721,plain,
    lhs_atom84(X1,X2,X3,X4),
    c_0_549,
    [final] ).

cnf(c_0_722,plain,
    lhs_atom69(X1,X2,X3,X4),
    c_0_550,
    [final] ).

cnf(c_0_723,plain,
    lhs_atom67(X1,X2,X3,X4),
    c_0_551,
    [final] ).

cnf(c_0_724,plain,
    lhs_atom54(X1,X2,X3,X4),
    c_0_552,
    [final] ).

cnf(c_0_725,plain,
    lhs_atom53(X1,X2,X3,X4),
    c_0_553,
    [final] ).

cnf(c_0_726,plain,
    lhs_atom50(X1,X2,X3,X4),
    c_0_554,
    [final] ).

cnf(c_0_727,plain,
    lhs_atom49(X1,X2,X3,X4),
    c_0_555,
    [final] ).

cnf(c_0_728,plain,
    lhs_atom48(X1,X2,X3,X4),
    c_0_556,
    [final] ).

cnf(c_0_729,plain,
    lhs_atom47(X1,X2,X3,X4),
    c_0_557,
    [final] ).

cnf(c_0_730,plain,
    lhs_atom45(X1,X2,X3,X4),
    c_0_558,
    [final] ).

cnf(c_0_731,plain,
    lhs_atom44(X1,X2,X3,X4),
    c_0_559,
    [final] ).

cnf(c_0_732,plain,
    lhs_atom40(X1,X2,X3,X4),
    c_0_560,
    [final] ).

cnf(c_0_733,plain,
    lhs_atom34(X1,X2,X3,X4),
    c_0_561,
    [final] ).

cnf(c_0_734,plain,
    lhs_atom33(X1,X2,X3,X4),
    c_0_562,
    [final] ).

cnf(c_0_735,plain,
    lhs_atom31(X1,X2,X3,X4),
    c_0_563,
    [final] ).

cnf(c_0_736,plain,
    lhs_atom29(X1,X2,X3,X4),
    c_0_564,
    [final] ).

cnf(c_0_737,plain,
    lhs_atom27(X1,X2,X3,X4),
    c_0_565,
    [final] ).

cnf(c_0_738,plain,
    lhs_atom26(X1,X2,X3,X4),
    c_0_566,
    [final] ).

cnf(c_0_739,plain,
    lhs_atom20(X1,X2,X3,X4),
    c_0_567,
    [final] ).

cnf(c_0_740,plain,
    lhs_atom19(X1,X2,X3,X4),
    c_0_568,
    [final] ).

cnf(c_0_741,plain,
    lhs_atom14(X1,X2,X3,X4),
    c_0_569,
    [final] ).

cnf(c_0_742,plain,
    lhs_atom11(X1,X2,X3,X4),
    c_0_570,
    [final] ).

cnf(c_0_743,plain,
    lhs_atom10(X1,X2,X3,X4),
    c_0_571,
    [final] ).

cnf(c_0_744,plain,
    lhs_atom9(X1,X2,X3,X4),
    c_0_572,
    [final] ).

cnf(c_0_745,plain,
    lhs_atom4(X1,X2,X3,X4),
    c_0_573,
    [final] ).

cnf(c_0_746,plain,
    lhs_atom2(X1,X2,X3,X4),
    c_0_574,
    [final] ).

cnf(c_0_747,plain,
    lhs_atom1(X1,X2,X3,X4),
    c_0_575,
    [final] ).

cnf(c_0_748,plain,
    lhs_atom130(X1,X2,X3),
    c_0_576,
    [final] ).

cnf(c_0_749,plain,
    lhs_atom131(X1,X2,X3),
    c_0_577,
    [final] ).

cnf(c_0_750,plain,
    lhs_atom130(X1,X2,X3),
    c_0_578,
    [final] ).

cnf(c_0_751,plain,
    lhs_atom129(X1,X2,X3),
    c_0_579,
    [final] ).

cnf(c_0_752,plain,
    lhs_atom127(X1,X2,X3),
    c_0_580,
    [final] ).

cnf(c_0_753,plain,
    lhs_atom126(X1,X2,X3),
    c_0_581,
    [final] ).

cnf(c_0_754,plain,
    lhs_atom115(X1,X2,X3),
    c_0_582,
    [final] ).

cnf(c_0_755,plain,
    lhs_atom111(X1,X2,X3),
    c_0_583,
    [final] ).

cnf(c_0_756,plain,
    lhs_atom107(X1,X2,X3),
    c_0_584,
    [final] ).

cnf(c_0_757,plain,
    lhs_atom89(X1,X2,X3),
    c_0_585,
    [final] ).

cnf(c_0_758,plain,
    lhs_atom88(X1,X2,X3),
    c_0_586,
    [final] ).

cnf(c_0_759,plain,
    lhs_atom87(X1,X2,X3),
    c_0_587,
    [final] ).

cnf(c_0_760,plain,
    lhs_atom86(X1,X2,X3),
    c_0_588,
    [final] ).

cnf(c_0_761,plain,
    lhs_atom83(X1,X2,X3),
    c_0_589,
    [final] ).

cnf(c_0_762,plain,
    lhs_atom82(X1,X2,X3),
    c_0_590,
    [final] ).

cnf(c_0_763,plain,
    lhs_atom81(X1,X2,X3),
    c_0_591,
    [final] ).

cnf(c_0_764,plain,
    lhs_atom76(X1,X2,X3),
    c_0_592,
    [final] ).

cnf(c_0_765,plain,
    lhs_atom75(X1,X2,X3),
    c_0_593,
    [final] ).

cnf(c_0_766,plain,
    lhs_atom74(X1,X2,X3),
    c_0_594,
    [final] ).

cnf(c_0_767,plain,
    lhs_atom72(X1,X2,X3),
    c_0_595,
    [final] ).

cnf(c_0_768,plain,
    lhs_atom71(X1,X2,X3),
    c_0_596,
    [final] ).

cnf(c_0_769,plain,
    lhs_atom64(X1,X2,X3),
    c_0_597,
    [final] ).

cnf(c_0_770,plain,
    lhs_atom63(X1,X2,X3),
    c_0_598,
    [final] ).

cnf(c_0_771,plain,
    lhs_atom59(X1,X2,X3),
    c_0_599,
    [final] ).

cnf(c_0_772,plain,
    lhs_atom57(X1,X2,X3),
    c_0_600,
    [final] ).

cnf(c_0_773,plain,
    lhs_atom43(X1,X2,X3),
    c_0_601,
    [final] ).

cnf(c_0_774,plain,
    lhs_atom42(X1,X2,X3),
    c_0_602,
    [final] ).

cnf(c_0_775,plain,
    lhs_atom41(X1,X2,X3),
    c_0_603,
    [final] ).

cnf(c_0_776,plain,
    lhs_atom39(X1,X2,X3),
    c_0_604,
    [final] ).

cnf(c_0_777,plain,
    lhs_atom38(X1,X2,X3),
    c_0_605,
    [final] ).

cnf(c_0_778,plain,
    lhs_atom37(X1,X2,X3),
    c_0_606,
    [final] ).

cnf(c_0_779,plain,
    lhs_atom36(X1,X2,X3),
    c_0_607,
    [final] ).

cnf(c_0_780,plain,
    lhs_atom35(X1,X2,X3),
    c_0_608,
    [final] ).

cnf(c_0_781,plain,
    lhs_atom30(X1,X2,X3),
    c_0_609,
    [final] ).

cnf(c_0_782,plain,
    lhs_atom22(X1,X2,X3),
    c_0_610,
    [final] ).

cnf(c_0_783,plain,
    lhs_atom21(X1,X2,X3),
    c_0_611,
    [final] ).

cnf(c_0_784,plain,
    lhs_atom13(X1,X2,X3),
    c_0_612,
    [final] ).

cnf(c_0_785,plain,
    lhs_atom12(X1,X2,X3),
    c_0_613,
    [final] ).

cnf(c_0_786,plain,
    lhs_atom6(X1,X2,X3),
    c_0_614,
    [final] ).

cnf(c_0_787,plain,
    lhs_atom171(X1,X2),
    c_0_615,
    [final] ).

cnf(c_0_788,plain,
    lhs_atom147(X1,X2),
    c_0_616,
    [final] ).

cnf(c_0_789,plain,
    lhs_atom145(X1,X2),
    c_0_617,
    [final] ).

cnf(c_0_790,plain,
    lhs_atom144(X1,X2),
    c_0_618,
    [final] ).

cnf(c_0_791,plain,
    lhs_atom143(X1,X2),
    c_0_619,
    [final] ).

cnf(c_0_792,plain,
    lhs_atom142(X1,X2),
    c_0_620,
    [final] ).

cnf(c_0_793,plain,
    lhs_atom141(X1,X2),
    c_0_621,
    [final] ).

cnf(c_0_794,plain,
    lhs_atom137(X1,X2),
    c_0_622,
    [final] ).

cnf(c_0_795,plain,
    lhs_atom136(X1,X2),
    c_0_623,
    [final] ).

cnf(c_0_796,plain,
    lhs_atom135(X1,X2),
    c_0_624,
    [final] ).

cnf(c_0_797,plain,
    lhs_atom128(X1,X2),
    c_0_625,
    [final] ).

cnf(c_0_798,plain,
    lhs_atom125(X1,X2),
    c_0_626,
    [final] ).

cnf(c_0_799,plain,
    lhs_atom124(X1,X2),
    c_0_627,
    [final] ).

cnf(c_0_800,plain,
    lhs_atom122(X1,X2),
    c_0_628,
    [final] ).

cnf(c_0_801,plain,
    lhs_atom121(X1,X2),
    c_0_629,
    [final] ).

cnf(c_0_802,plain,
    lhs_atom120(X1,X2),
    c_0_630,
    [final] ).

cnf(c_0_803,plain,
    lhs_atom119(X1,X2),
    c_0_631,
    [final] ).

cnf(c_0_804,plain,
    lhs_atom118(X1,X2),
    c_0_632,
    [final] ).

cnf(c_0_805,plain,
    lhs_atom117(X1,X2),
    c_0_633,
    [final] ).

cnf(c_0_806,plain,
    lhs_atom114(X1,X2),
    c_0_634,
    [final] ).

cnf(c_0_807,plain,
    lhs_atom109(X1,X2),
    c_0_635,
    [final] ).

cnf(c_0_808,plain,
    lhs_atom104(X1,X2),
    c_0_636,
    [final] ).

cnf(c_0_809,plain,
    lhs_atom102(X1,X2),
    c_0_637,
    [final] ).

cnf(c_0_810,plain,
    lhs_atom97(X1,X2),
    c_0_638,
    [final] ).

cnf(c_0_811,plain,
    lhs_atom95(X1,X2),
    c_0_639,
    [final] ).

cnf(c_0_812,plain,
    lhs_atom94(X1,X2),
    c_0_640,
    [final] ).

cnf(c_0_813,plain,
    lhs_atom93(X1,X2),
    c_0_641,
    [final] ).

cnf(c_0_814,plain,
    lhs_atom80(X1,X2),
    c_0_642,
    [final] ).

cnf(c_0_815,plain,
    lhs_atom78(X1,X2),
    c_0_643,
    [final] ).

cnf(c_0_816,plain,
    lhs_atom73(X1,X2),
    c_0_644,
    [final] ).

cnf(c_0_817,plain,
    lhs_atom68(X1,X2),
    c_0_645,
    [final] ).

cnf(c_0_818,plain,
    lhs_atom65(X1,X2),
    c_0_646,
    [final] ).

cnf(c_0_819,plain,
    lhs_atom61(X1,X2),
    c_0_647,
    [final] ).

cnf(c_0_820,plain,
    lhs_atom56(X1,X2),
    c_0_648,
    [final] ).

cnf(c_0_821,plain,
    lhs_atom55(X1,X2),
    c_0_649,
    [final] ).

cnf(c_0_822,plain,
    lhs_atom52(X1,X2),
    c_0_650,
    [final] ).

cnf(c_0_823,plain,
    lhs_atom51(X1,X2),
    c_0_651,
    [final] ).

cnf(c_0_824,plain,
    lhs_atom25(X1,X2),
    c_0_652,
    [final] ).

cnf(c_0_825,plain,
    lhs_atom23(X1,X2),
    c_0_653,
    [final] ).

cnf(c_0_826,plain,
    lhs_atom8(X1,X2),
    c_0_654,
    [final] ).

cnf(c_0_827,plain,
    lhs_atom7(X1,X2),
    c_0_655,
    [final] ).

cnf(c_0_828,plain,
    lhs_atom5(X1,X2),
    c_0_656,
    [final] ).

cnf(c_0_829,plain,
    lhs_atom123(X1),
    c_0_657,
    [final] ).

cnf(c_0_830,plain,
    lhs_atom116(X1),
    c_0_658,
    [final] ).

cnf(c_0_831,plain,
    lhs_atom113(X1),
    c_0_659,
    [final] ).

cnf(c_0_832,plain,
    lhs_atom108(X1),
    c_0_660,
    [final] ).

cnf(c_0_833,plain,
    lhs_atom92(X1),
    c_0_661,
    [final] ).

cnf(c_0_834,plain,
    lhs_atom91(X1),
    c_0_662,
    [final] ).

cnf(c_0_835,plain,
    lhs_atom170,
    c_0_663,
    [final] ).

cnf(c_0_836,plain,
    lhs_atom169,
    c_0_664,
    [final] ).

cnf(c_0_837,plain,
    lhs_atom168,
    c_0_665,
    [final] ).

cnf(c_0_838,plain,
    lhs_atom167,
    c_0_666,
    [final] ).

cnf(c_0_839,plain,
    lhs_atom166,
    c_0_667,
    [final] ).

cnf(c_0_840,plain,
    lhs_atom165,
    c_0_668,
    [final] ).

cnf(c_0_841,plain,
    lhs_atom164,
    c_0_669,
    [final] ).

cnf(c_0_842,plain,
    lhs_atom163,
    c_0_670,
    [final] ).

cnf(c_0_843,plain,
    lhs_atom162,
    c_0_671,
    [final] ).

cnf(c_0_844,plain,
    lhs_atom161,
    c_0_672,
    [final] ).

cnf(c_0_845,plain,
    lhs_atom160,
    c_0_673,
    [final] ).

cnf(c_0_846,plain,
    lhs_atom159,
    c_0_674,
    [final] ).

cnf(c_0_847,plain,
    lhs_atom158,
    c_0_675,
    [final] ).

cnf(c_0_848,plain,
    lhs_atom157,
    c_0_676,
    [final] ).

cnf(c_0_849,plain,
    lhs_atom156,
    c_0_677,
    [final] ).

cnf(c_0_850,plain,
    lhs_atom155,
    c_0_678,
    [final] ).

cnf(c_0_851,plain,
    lhs_atom154,
    c_0_679,
    [final] ).

cnf(c_0_852,plain,
    lhs_atom153,
    c_0_680,
    [final] ).

cnf(c_0_853,plain,
    lhs_atom152,
    c_0_681,
    [final] ).

cnf(c_0_854,plain,
    lhs_atom151,
    c_0_682,
    [final] ).

cnf(c_0_855,plain,
    lhs_atom150,
    c_0_683,
    [final] ).

cnf(c_0_856,plain,
    lhs_atom149,
    c_0_684,
    [final] ).

cnf(c_0_857,plain,
    lhs_atom148,
    c_0_685,
    [final] ).

cnf(c_0_858,plain,
    lhs_atom146,
    c_0_686,
    [final] ).

cnf(c_0_859,plain,
    lhs_atom139,
    c_0_687,
    [final] ).

% End CNF derivation
cnf(c_0_688_0,axiom,
    c_Fun_Ofcomp(c_Fun_Ofcomp(X3,X2,X7,X4,X5),X1,X7,X5,X6) = c_Fun_Ofcomp(X3,c_Fun_Ofcomp(X2,X1,X4,X5,X6),X7,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_688,def_lhs_atom105]) ).

cnf(c_0_689_0,axiom,
    c_Fun_Ocomp(X3,c_Fun_Ocomp(X2,X1,X4,X5,X7),X5,X6,X7) = c_Fun_Ocomp(c_Fun_Ocomp(X3,X2,X5,X6,X4),X1,X4,X6,X7),
    inference(unfold_definition,[status(thm)],[c_0_689,def_lhs_atom66]) ).

cnf(c_0_690_0,axiom,
    c_Set_Oimage(c_Fun_Ocomp(X3,X2,X4,X6,X5),X1,X5,X6) = c_Set_Oimage(X3,c_Set_Oimage(X2,X1,X5,X4),X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_690,def_lhs_atom90]) ).

cnf(c_0_691_0,axiom,
    c_Set_Ovimage(c_Fun_Ocomp(X2,X3,X4,X5,X6),X1,X6,X5) = c_Set_Ovimage(X3,c_Set_Ovimage(X2,X1,X4,X5),X6,X4),
    inference(unfold_definition,[status(thm)],[c_0_691,def_lhs_atom70]) ).

cnf(c_0_692_0,axiom,
    hAPP(c_Fun_Ofcomp(X3,X2,X5,X4,X6),X1) = hAPP(X2,hAPP(X3,X1)),
    inference(unfold_definition,[status(thm)],[c_0_692,def_lhs_atom62]) ).

cnf(c_0_693_0,axiom,
    hAPP(hAPP(c_COMBC(X3,X5,X4,X6),X2),X1) = hAPP(hAPP(X3,X1),X2),
    inference(unfold_definition,[status(thm)],[c_0_693,def_lhs_atom28]) ).

cnf(c_0_694_0,axiom,
    hAPP(c_Fun_Ocomp(X3,X2,X4,X5,X6),X1) = hAPP(X3,hAPP(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_694,def_lhs_atom18]) ).

cnf(c_0_695_0,axiom,
    hAPP(c_Fun_Ocomp(X3,X2,X5,X6,X4),X1) = hAPP(X3,hAPP(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_695,def_lhs_atom17]) ).

cnf(c_0_696_0,axiom,
    c_Finite__Set_Ofold__image(X3,X2,X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5,X4) = X1,
    inference(unfold_definition,[status(thm)],[c_0_696,def_lhs_atom110]) ).

cnf(c_0_697_0,axiom,
    c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X2),X4,X5) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X4,X5)),c_Set_Oimage(X1,X2,X4,X5)),
    inference(unfold_definition,[status(thm)],[c_0_697,def_lhs_atom103]) ).

cnf(c_0_698_0,axiom,
    c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X2),X1,X4,tc_fun(X5,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X1,X4,tc_fun(X5,tc_bool))),
    inference(unfold_definition,[status(thm)],[c_0_698,def_lhs_atom101]) ).

cnf(c_0_699_0,axiom,
    c_Set_Ovimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4)),c_Set_Ovimage(X1,X3,X5,X4)),
    inference(unfold_definition,[status(thm)],[c_0_699,def_lhs_atom99]) ).

cnf(c_0_700_0,axiom,
    c_Set_Ovimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),X2),X5,X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,X3,X5,X4)),c_Set_Ovimage(X1,X2,X5,X4)),
    inference(unfold_definition,[status(thm)],[c_0_700,def_lhs_atom79]) ).

cnf(c_0_701_0,axiom,
    c_Set_Ovimage(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X2),X5,X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,X3,X5,X4)),c_Set_Ovimage(X1,X2,X5,X4)),
    inference(unfold_definition,[status(thm)],[c_0_701,def_lhs_atom77]) ).

cnf(c_0_702_0,axiom,
    c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
    inference(unfold_definition,[status(thm)],[c_0_702,def_lhs_atom60]) ).

cnf(c_0_703_0,axiom,
    c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(X1,X3,X4),X2,X4,tc_fun(X5,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),hAPP(X2,X1)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X2,X4,tc_fun(X5,tc_bool))),
    inference(unfold_definition,[status(thm)],[c_0_703,def_lhs_atom58]) ).

cnf(c_0_704_0,axiom,
    c_Map_Orestrict__map(c_Map_Orestrict__map(X1,X3,X5,X4),X2,X5,X4) = c_Map_Orestrict__map(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),X3),X2),X5,X4),
    inference(unfold_definition,[status(thm)],[c_0_704,def_lhs_atom46]) ).

cnf(c_0_705_0,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X3,X4,X5),c_Set_Oimage(X1,X2,X4,X5),tc_fun(X5,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_705,def_lhs_atom32]) ).

cnf(c_0_706_0,axiom,
    c_Relation_OImage(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X2),X4,X5) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Relation_OImage(X1,X3,X4,X5)),c_Relation_OImage(X1,X2,X4,X5)),
    inference(unfold_definition,[status(thm)],[c_0_706,def_lhs_atom24]) ).

cnf(c_0_707_0,axiom,
    c_lessequals(c_Relation_OImage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),X2),X4,X5),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Relation_OImage(X1,X3,X4,X5)),c_Relation_OImage(X1,X2,X4,X5)),tc_fun(X5,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_707,def_lhs_atom16]) ).

cnf(c_0_708_0,axiom,
    c_lessequals(c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),X2),X4,X5),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X4,X5)),c_Set_Oimage(X1,X2,X4,X5)),tc_fun(X5,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_708,def_lhs_atom15]) ).

cnf(c_0_709_0,axiom,
    c_Set_Ovimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X5,X4) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(X1,X3,X5,X4),c_Set_Ovimage(X1,X2,X5,X4),tc_fun(X5,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_709,def_lhs_atom3]) ).

cnf(c_0_710_0,axiom,
    hAPP(c_Fun_Ofcomp(X2,X1,t_a,X3,X4),v_x) = hAPP(X1,hAPP(X2,v_x)),
    inference(unfold_definition,[status(thm)],[c_0_710,def_lhs_atom140]) ).

cnf(c_0_711_0,axiom,
    hAPP(c_Fun_Ocomp(X2,X1,X3,X4,t_a),v_x) = hAPP(X2,hAPP(X1,v_x)),
    inference(unfold_definition,[status(thm)],[c_0_711,def_lhs_atom138]) ).

cnf(c_0_712_0,axiom,
    c_Fun_Ooverride__on(X2,X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X3) = X2,
    inference(unfold_definition,[status(thm)],[c_0_712,def_lhs_atom134]) ).

cnf(c_0_713_0,axiom,
    c_Nitpick_Ofold__graph_H(X2,X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_713,def_lhs_atom133]) ).

cnf(c_0_714_0,axiom,
    c_Finite__Set_Ofold__graph(X2,X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_714,def_lhs_atom132]) ).

cnf(c_0_715_0,axiom,
    c_Finite__Set_Ofold(X2,X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4) = X1,
    inference(unfold_definition,[status(thm)],[c_0_715,def_lhs_atom112]) ).

cnf(c_0_716_0,axiom,
    hBOOL(hAPP(hAPP(c_in(X3),X2),c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X3,X4))),
    inference(unfold_definition,[status(thm)],[c_0_716,def_lhs_atom106]) ).

cnf(c_0_717_0,axiom,
    c_HOL_Ominus__class_Ominus(X3,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),X1),tc_fun(X4,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool))),c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X4,tc_bool))),
    inference(unfold_definition,[status(thm)],[c_0_717,def_lhs_atom100]) ).

cnf(c_0_718_0,axiom,
    c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),X2),X1,tc_fun(X4,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X4,tc_bool))),
    inference(unfold_definition,[status(thm)],[c_0_718,def_lhs_atom98]) ).

cnf(c_0_719_0,axiom,
    c_HOL_Ominus__class_Ominus(X3,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X2),X1),tc_fun(X4,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool))),c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X4,tc_bool))),
    inference(unfold_definition,[status(thm)],[c_0_719,def_lhs_atom96]) ).

cnf(c_0_720_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),X1)),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X1),X3)),
    inference(unfold_definition,[status(thm)],[c_0_720,def_lhs_atom85]) ).

cnf(c_0_721_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),X1)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X2)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X1)),
    inference(unfold_definition,[status(thm)],[c_0_721,def_lhs_atom84]) ).

cnf(c_0_722_0,axiom,
    c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X2),X1,tc_fun(X4,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X4,tc_bool))),c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X4,tc_bool))),
    inference(unfold_definition,[status(thm)],[c_0_722,def_lhs_atom69]) ).

cnf(c_0_723_0,axiom,
    c_Set_Oinsert(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,tc_fun(X4,tc_bool)),X4) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),
    inference(unfold_definition,[status(thm)],[c_0_723,def_lhs_atom67]) ).

cnf(c_0_724_0,axiom,
    c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),X1),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),X1),X2,tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_724,def_lhs_atom54]) ).

cnf(c_0_725_0,axiom,
    c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)),
    inference(unfold_definition,[status(thm)],[c_0_725,def_lhs_atom53]) ).

cnf(c_0_726_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool))),X1) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),X1),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_726,def_lhs_atom50]) ).

cnf(c_0_727_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X1),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X1),X2),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_727,def_lhs_atom49]) ).

cnf(c_0_728_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X1,X3,tc_fun(X4,tc_bool))) = X2,
    inference(unfold_definition,[status(thm)],[c_0_728,def_lhs_atom48]) ).

cnf(c_0_729_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,tc_fun(X4,tc_bool))),X1) = X1,
    inference(unfold_definition,[status(thm)],[c_0_729,def_lhs_atom47]) ).

cnf(c_0_730_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),X1)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),X1)),
    inference(unfold_definition,[status(thm)],[c_0_730,def_lhs_atom45]) ).

cnf(c_0_731_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),X2)),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),X1)),
    inference(unfold_definition,[status(thm)],[c_0_731,def_lhs_atom44]) ).

cnf(c_0_732_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),X2)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),X1))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X1),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X2)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X2),X1))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X1),X3)),
    inference(unfold_definition,[status(thm)],[c_0_732,def_lhs_atom40]) ).

cnf(c_0_733_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X2)),X1) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X2),X1)),
    inference(unfold_definition,[status(thm)],[c_0_733,def_lhs_atom34]) ).

cnf(c_0_734_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X2),X1)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X1)),
    inference(unfold_definition,[status(thm)],[c_0_734,def_lhs_atom33]) ).

cnf(c_0_735_0,axiom,
    hBOOL(hAPP(hAPP(c_in(X4),hAPP(X2,X1)),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4))),
    inference(unfold_definition,[status(thm)],[c_0_735,def_lhs_atom31]) ).

cnf(c_0_736_0,axiom,
    hAPP(c_COMBK(X2,X4,X3),X1) = X2,
    inference(unfold_definition,[status(thm)],[c_0_736,def_lhs_atom29]) ).

cnf(c_0_737_0,axiom,
    c_HOL_Ominus__class_Ominus(X2,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X2,
    inference(unfold_definition,[status(thm)],[c_0_737,def_lhs_atom27]) ).

cnf(c_0_738_0,axiom,
    c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4) = c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_738,def_lhs_atom26]) ).

cnf(c_0_739_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X2),X1)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),X2)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),X1)),
    inference(unfold_definition,[status(thm)],[c_0_739,def_lhs_atom20]) ).

cnf(c_0_740_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X2),X1)),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X1),X3)),
    inference(unfold_definition,[status(thm)],[c_0_740,def_lhs_atom19]) ).

cnf(c_0_741_0,axiom,
    hAPP(c_Fun_Ocomp(c_COMBK(X2,X4,X3),X1,X3,X4,t_a),v_x) = X2,
    inference(unfold_definition,[status(thm)],[c_0_741,def_lhs_atom14]) ).

cnf(c_0_742_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_Set_Oinsert(X1,X3,X4)),c_Set_Oinsert(X1,X2,X4)) = c_Set_Oinsert(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),X2),X4),
    inference(unfold_definition,[status(thm)],[c_0_742,def_lhs_atom11]) ).

cnf(c_0_743_0,axiom,
    c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X1,X2,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X2,tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_743,def_lhs_atom10]) ).

cnf(c_0_744_0,axiom,
    c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X1,X2,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_744,def_lhs_atom9]) ).

cnf(c_0_745_0,axiom,
    c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_745,def_lhs_atom4]) ).

cnf(c_0_746_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),c_Set_Oinsert(X1,X2,X4)) = c_Set_Oinsert(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X2),X4),
    inference(unfold_definition,[status(thm)],[c_0_746,def_lhs_atom2]) ).

cnf(c_0_747_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),c_Set_Oinsert(X1,X3,X4)),X2) = c_Set_Oinsert(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X2),X4),
    inference(unfold_definition,[status(thm)],[c_0_747,def_lhs_atom1]) ).

cnf(c_0_748_0,axiom,
    c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_748,def_lhs_atom130]) ).

cnf(c_0_749_0,axiom,
    c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X2),
    inference(unfold_definition,[status(thm)],[c_0_749,def_lhs_atom131]) ).

cnf(c_0_750_0,axiom,
    c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_750,def_lhs_atom130]) ).

cnf(c_0_751_0,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_751,def_lhs_atom129]) ).

cnf(c_0_752_0,axiom,
    c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_752,def_lhs_atom127]) ).

cnf(c_0_753_0,axiom,
    c_Relation_OImage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_753,def_lhs_atom126]) ).

cnf(c_0_754_0,axiom,
    ~ c_Finite__Set_Ofold1Set(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_754,def_lhs_atom115]) ).

cnf(c_0_755_0,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Set_Oinsert(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_755,def_lhs_atom111]) ).

cnf(c_0_756_0,axiom,
    c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_756,def_lhs_atom107]) ).

cnf(c_0_757_0,axiom,
    c_Fun_Ofcomp(c_Fun_Oid(X3),X1,X3,X3,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_757,def_lhs_atom89]) ).

cnf(c_0_758_0,axiom,
    c_Fun_Ofcomp(X1,c_Fun_Oid(X2),X3,X2,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_758,def_lhs_atom88]) ).

cnf(c_0_759_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X1)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X1),
    inference(unfold_definition,[status(thm)],[c_0_759,def_lhs_atom87]) ).

cnf(c_0_760_0,axiom,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    inference(unfold_definition,[status(thm)],[c_0_760,def_lhs_atom86]) ).

cnf(c_0_761_0,axiom,
    hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oinsert(X1,X2,X3))),
    inference(unfold_definition,[status(thm)],[c_0_761,def_lhs_atom83]) ).

cnf(c_0_762_0,axiom,
    hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oinsert(X1,X2,X3))),
    inference(unfold_definition,[status(thm)],[c_0_762,def_lhs_atom82]) ).

cnf(c_0_763_0,axiom,
    hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oinsert(X1,X2,X3))),
    inference(unfold_definition,[status(thm)],[c_0_763,def_lhs_atom81]) ).

cnf(c_0_764_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_764,def_lhs_atom76]) ).

cnf(c_0_765_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X1)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X1),
    inference(unfold_definition,[status(thm)],[c_0_765,def_lhs_atom75]) ).

cnf(c_0_766_0,axiom,
    c_Set_Oinsert(X1,X2,X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)),X2),
    inference(unfold_definition,[status(thm)],[c_0_766,def_lhs_atom74]) ).

cnf(c_0_767_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X1) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X2),
    inference(unfold_definition,[status(thm)],[c_0_767,def_lhs_atom72]) ).

cnf(c_0_768_0,axiom,
    c_Set_Oinsert(X1,X2,X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),c_Collect(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X3)),X2),
    inference(unfold_definition,[status(thm)],[c_0_768,def_lhs_atom71]) ).

cnf(c_0_769_0,axiom,
    c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X1),X1,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_769,def_lhs_atom64]) ).

cnf(c_0_770_0,axiom,
    c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X1),X2,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_770,def_lhs_atom63]) ).

cnf(c_0_771_0,axiom,
    c_Finite__Set_Ofold1Set(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_771,def_lhs_atom59]) ).

cnf(c_0_772_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X1)) = X2,
    inference(unfold_definition,[status(thm)],[c_0_772,def_lhs_atom57]) ).

cnf(c_0_773_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool))) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X1),
    inference(unfold_definition,[status(thm)],[c_0_773,def_lhs_atom43]) ).

cnf(c_0_774_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool))),X2) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X2),
    inference(unfold_definition,[status(thm)],[c_0_774,def_lhs_atom42]) ).

cnf(c_0_775_0,axiom,
    c_Set_Oimage(c_COMBK(X1,X3,X2),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_775,def_lhs_atom41]) ).

cnf(c_0_776_0,axiom,
    c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Set_Oinsert(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_776,def_lhs_atom39]) ).

cnf(c_0_777_0,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_777,def_lhs_atom38]) ).

cnf(c_0_778_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),
    inference(unfold_definition,[status(thm)],[c_0_778,def_lhs_atom37]) ).

cnf(c_0_779_0,axiom,
    c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X1),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_779,def_lhs_atom36]) ).

cnf(c_0_780_0,axiom,
    c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X1),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_780,def_lhs_atom35]) ).

cnf(c_0_781_0,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_781,def_lhs_atom30]) ).

cnf(c_0_782_0,axiom,
    c_Fun_Ocomp(c_Fun_Oid(X2),X1,X2,X2,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_782,def_lhs_atom22]) ).

cnf(c_0_783_0,axiom,
    c_Fun_Ocomp(X1,c_Fun_Oid(X3),X3,X2,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_783,def_lhs_atom21]) ).

cnf(c_0_784_0,axiom,
    c_lessequals(X2,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_784,def_lhs_atom13]) ).

cnf(c_0_785_0,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_785,def_lhs_atom12]) ).

cnf(c_0_786_0,axiom,
    c_Set_Ovimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_786,def_lhs_atom6]) ).

cnf(c_0_787_0,axiom,
    hBOOL(hAPP(hAPP(c_fequal(X2),X1),X1)),
    inference(unfold_definition,[status(thm)],[c_0_787,def_lhs_atom171]) ).

cnf(c_0_788_0,axiom,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1)),
    inference(unfold_definition,[status(thm)],[c_0_788,def_lhs_atom147]) ).

cnf(c_0_789_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
    inference(unfold_definition,[status(thm)],[c_0_789,def_lhs_atom145]) ).

cnf(c_0_790_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
    inference(unfold_definition,[status(thm)],[c_0_790,def_lhs_atom144]) ).

cnf(c_0_791_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
    inference(unfold_definition,[status(thm)],[c_0_791,def_lhs_atom143]) ).

cnf(c_0_792_0,axiom,
    hBOOL(hAPP(hAPP(c_in(X2),X1),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))),
    inference(unfold_definition,[status(thm)],[c_0_792,def_lhs_atom142]) ).

cnf(c_0_793_0,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2),
    inference(unfold_definition,[status(thm)],[c_0_793,def_lhs_atom141]) ).

cnf(c_0_794_0,axiom,
    hAPP(c_Map_Orestrict__map(X1,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,X2),v_x) = c_Option_Ooption_ONone(X2),
    inference(unfold_definition,[status(thm)],[c_0_794,def_lhs_atom137]) ).

cnf(c_0_795_0,axiom,
    hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),X2)),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),X1)),v_x) = hAPP(hAPP(c_in(t_a),v_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),X2),X1)),
    inference(unfold_definition,[status(thm)],[c_0_795,def_lhs_atom136]) ).

cnf(c_0_796_0,axiom,
    hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,tc_bool)),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),X2)),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),X1)),v_x) = hAPP(hAPP(c_in(t_a),v_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,tc_bool)),X2),X1)),
    inference(unfold_definition,[status(thm)],[c_0_796,def_lhs_atom135]) ).

cnf(c_0_797_0,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_797,def_lhs_atom128]) ).

cnf(c_0_798_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X1) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_798,def_lhs_atom125]) ).

cnf(c_0_799_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_799,def_lhs_atom124]) ).

cnf(c_0_800_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_800,def_lhs_atom122]) ).

cnf(c_0_801_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_801,def_lhs_atom121]) ).

cnf(c_0_802_0,axiom,
    ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_802,def_lhs_atom120]) ).

cnf(c_0_803_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X1) = X1,
    inference(unfold_definition,[status(thm)],[c_0_803,def_lhs_atom119]) ).

cnf(c_0_804_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) = X1,
    inference(unfold_definition,[status(thm)],[c_0_804,def_lhs_atom118]) ).

cnf(c_0_805_0,axiom,
    c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_805,def_lhs_atom117]) ).

cnf(c_0_806_0,axiom,
    ~ c_Wellfounded_Omax__extp(X2,X1,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),
    inference(unfold_definition,[status(thm)],[c_0_806,def_lhs_atom114]) ).

cnf(c_0_807_0,axiom,
    c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_807,def_lhs_atom109]) ).

cnf(c_0_808_0,axiom,
    c_Collect(hAPP(c_COMBC(c_in(X2),X2,tc_fun(X2,tc_bool),tc_bool),X1),X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_808,def_lhs_atom104]) ).

cnf(c_0_809_0,axiom,
    c_Collect(hAPP(c_fequal(X2),X1),X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(unfold_definition,[status(thm)],[c_0_809,def_lhs_atom102]) ).

cnf(c_0_810_0,axiom,
    c_Collect(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X1),X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(unfold_definition,[status(thm)],[c_0_810,def_lhs_atom97]) ).

cnf(c_0_811_0,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_811,def_lhs_atom95]) ).

cnf(c_0_812_0,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_812,def_lhs_atom94]) ).

cnf(c_0_813_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X1),X1) = X1,
    inference(unfold_definition,[status(thm)],[c_0_813,def_lhs_atom93]) ).

cnf(c_0_814_0,axiom,
    hBOOL(hAPP(hAPP(c_in(X2),X1),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))),
    inference(unfold_definition,[status(thm)],[c_0_814,def_lhs_atom80]) ).

cnf(c_0_815_0,axiom,
    hAPP(c_Fun_Oid(X2),X1) = X1,
    inference(unfold_definition,[status(thm)],[c_0_815,def_lhs_atom78]) ).

cnf(c_0_816_0,axiom,
    c_Set_Oimage(c_Fun_Oid(X2),X1,X2,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_816,def_lhs_atom73]) ).

cnf(c_0_817_0,axiom,
    c_Set_Ovimage(c_Fun_Oid(X2),X1,X2,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_817,def_lhs_atom68]) ).

cnf(c_0_818_0,axiom,
    c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_818,def_lhs_atom65]) ).

cnf(c_0_819_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_819,def_lhs_atom61]) ).

cnf(c_0_820_0,axiom,
    hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1)),
    inference(unfold_definition,[status(thm)],[c_0_820,def_lhs_atom56]) ).

cnf(c_0_821_0,axiom,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_821,def_lhs_atom55]) ).

cnf(c_0_822_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X1),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))) = X1,
    inference(unfold_definition,[status(thm)],[c_0_822,def_lhs_atom52]) ).

cnf(c_0_823_0,axiom,
    hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))),X1) = X1,
    inference(unfold_definition,[status(thm)],[c_0_823,def_lhs_atom51]) ).

cnf(c_0_824_0,axiom,
    c_Fun_Oinj__on(c_Fun_Oid(X2),X1,X2,X2),
    inference(unfold_definition,[status(thm)],[c_0_824,def_lhs_atom25]) ).

cnf(c_0_825_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X1) = X1,
    inference(unfold_definition,[status(thm)],[c_0_825,def_lhs_atom23]) ).

cnf(c_0_826_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_826,def_lhs_atom8]) ).

cnf(c_0_827_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))),X1) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_827,def_lhs_atom7]) ).

cnf(c_0_828_0,axiom,
    c_Collect(X1,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_828,def_lhs_atom5]) ).

cnf(c_0_829_0,axiom,
    c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
    inference(unfold_definition,[status(thm)],[c_0_829,def_lhs_atom123]) ).

cnf(c_0_830_0,axiom,
    c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_830,def_lhs_atom116]) ).

cnf(c_0_831_0,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_831,def_lhs_atom113]) ).

cnf(c_0_832_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_832,def_lhs_atom108]) ).

cnf(c_0_833_0,axiom,
    X1 != c_Suc(X1),
    inference(unfold_definition,[status(thm)],[c_0_833,def_lhs_atom92]) ).

cnf(c_0_834_0,axiom,
    c_Suc(X1) != X1,
    inference(unfold_definition,[status(thm)],[c_0_834,def_lhs_atom91]) ).

cnf(c_0_835_0,axiom,
    class_HOL_Oord(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_835,def_lhs_atom170]) ).

cnf(c_0_836_0,axiom,
    class_HOL_Ominus(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_836,def_lhs_atom169]) ).

cnf(c_0_837_0,axiom,
    class_Orderings_Obot(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_837,def_lhs_atom168]) ).

cnf(c_0_838_0,axiom,
    class_Orderings_Otop(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_838,def_lhs_atom167]) ).

cnf(c_0_839_0,axiom,
    class_Orderings_Oorder(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_839,def_lhs_atom166]) ).

cnf(c_0_840_0,axiom,
    class_Lattices_Olattice(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_840,def_lhs_atom165]) ).

cnf(c_0_841_0,axiom,
    class_Orderings_Opreorder(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_841,def_lhs_atom164]) ).

cnf(c_0_842_0,axiom,
    class_Finite__Set_Ofinite_Ofinite(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_842,def_lhs_atom163]) ).

cnf(c_0_843_0,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_843,def_lhs_atom162]) ).

cnf(c_0_844_0,axiom,
    class_Lattices_Odistrib__lattice(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_844,def_lhs_atom161]) ).

cnf(c_0_845_0,axiom,
    class_Lattices_Olower__semilattice(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_845,def_lhs_atom160]) ).

cnf(c_0_846_0,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_846,def_lhs_atom159]) ).

cnf(c_0_847_0,axiom,
    class_Complete__Lattice_Ocomplete__lattice(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_847,def_lhs_atom158]) ).

cnf(c_0_848_0,axiom,
    class_HOL_Oord(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_848,def_lhs_atom157]) ).

cnf(c_0_849_0,axiom,
    class_HOL_Ominus(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_849,def_lhs_atom156]) ).

cnf(c_0_850_0,axiom,
    class_Orderings_Obot(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_850,def_lhs_atom155]) ).

cnf(c_0_851_0,axiom,
    class_Orderings_Oorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_851,def_lhs_atom154]) ).

cnf(c_0_852_0,axiom,
    class_Lattices_Olattice(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_852,def_lhs_atom153]) ).

cnf(c_0_853_0,axiom,
    class_Orderings_Olinorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_853,def_lhs_atom152]) ).

cnf(c_0_854_0,axiom,
    class_Orderings_Opreorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_854,def_lhs_atom151]) ).

cnf(c_0_855_0,axiom,
    class_Lattices_Odistrib__lattice(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_855,def_lhs_atom150]) ).

cnf(c_0_856_0,axiom,
    class_Lattices_Olower__semilattice(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_856,def_lhs_atom149]) ).

cnf(c_0_857_0,axiom,
    class_Lattices_Oupper__semilattice(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_857,def_lhs_atom148]) ).

cnf(c_0_858_0,axiom,
    hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))),
    inference(unfold_definition,[status(thm)],[c_0_858,def_lhs_atom146]) ).

cnf(c_0_859_0,axiom,
    hAPP(c_Fun_Oid(t_a),v_x) = v_x,
    inference(unfold_definition,[status(thm)],[c_0_859,def_lhs_atom139]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X25,X26,X27,X28,X29,X30,X31,X32,X3] :
      ( c_Complete__Lattice_Ocomplete__lattice(X31,X32,c_COMBC(X27,X3,X3,tc_bool),c_COMBC(X28,X3,X3,tc_bool),X26,X29,X25,X30,X3)
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    file('<stdin>',cls_complete__lattice_Odual__complete__lattice_0) ).

fof(c_0_1_002,axiom,
    ! [X25,X26,X27,X28,X29,X30,X31,X32,X16,X15,X3] :
      ( hAPP(hAPP(X26,X16),hAPP(X31,X15)) = c_Finite__Set_Ofold(X26,X16,X15,X3,X3)
      | ~ c_Finite__Set_Ofinite(X15,X3)
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    file('<stdin>',cls_complete__lattice_Osup__Sup__fold__sup_0) ).

fof(c_0_2_003,axiom,
    ! [X25,X26,X27,X28,X29,X30,X31,X32,X16,X15,X3] :
      ( hAPP(hAPP(X29,X16),hAPP(X32,X15)) = c_Finite__Set_Ofold(X29,X16,X15,X3,X3)
      | ~ c_Finite__Set_Ofinite(X15,X3)
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    file('<stdin>',cls_complete__lattice_Oinf__Inf__fold__inf_0) ).

fof(c_0_3_004,axiom,
    ! [X25,X26,X27,X28,X29,X30,X31,X32,X15,X3] :
      ( hAPP(X31,X15) = c_Finite__Set_Ofold(X26,X30,X15,X3,X3)
      | ~ c_Finite__Set_Ofinite(X15,X3)
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    file('<stdin>',cls_complete__lattice_OSup__fold__sup_0) ).

fof(c_0_4_005,axiom,
    ! [X25,X26,X27,X28,X29,X30,X31,X32,X15,X3] :
      ( hAPP(X32,X15) = c_Finite__Set_Ofold(X29,X25,X15,X3,X3)
      | ~ c_Finite__Set_Ofinite(X15,X3)
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    file('<stdin>',cls_complete__lattice_OInf__fold__inf_0) ).

fof(c_0_5_006,axiom,
    ! [X25,X26,X27,X28,X29,X30,X13,X14,X31,X32,X3] :
      ( hAPP(X31,c_Set_Oinsert(X14,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)) = hAPP(hAPP(X26,X14),X13)
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    file('<stdin>',cls_complete__lattice_OSup__binary_0) ).

fof(c_0_6_007,axiom,
    ! [X25,X26,X27,X28,X29,X30,X13,X14,X31,X32,X3] :
      ( hAPP(X32,c_Set_Oinsert(X14,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)) = hAPP(hAPP(X29,X14),X13)
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    file('<stdin>',cls_complete__lattice_OInf__binary_0) ).

fof(c_0_7_008,axiom,
    ! [X6,X25,X26,X27,X28,X29,X30,X31,X32,X15,X3] :
      ( hBOOL(hAPP(hAPP(X27,hAPP(X32,X15)),X6))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    file('<stdin>',cls_complete__lattice_OInf__lower_0) ).

fof(c_0_8_009,axiom,
    ! [X6,X25,X26,X27,X28,X29,X30,X31,X32,X15,X3] :
      ( hBOOL(hAPP(hAPP(X27,X6),hAPP(X31,X15)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    file('<stdin>',cls_complete__lattice_OSup__upper_0) ).

fof(c_0_9_010,axiom,
    ! [X25,X26,X27,X28,X29,X30,X14,X31,X32,X3] :
      ( hAPP(X31,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) = X14
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    file('<stdin>',cls_complete__lattice_OSup__singleton_0) ).

fof(c_0_10_011,axiom,
    ! [X25,X26,X27,X28,X29,X30,X14,X31,X32,X3] :
      ( hAPP(X32,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) = X14
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    file('<stdin>',cls_complete__lattice_OInf__singleton_0) ).

fof(c_0_11_012,axiom,
    ! [X25,X26,X27,X28,X29,X30,X14,X31,X32,X15,X3] :
      ( hAPP(X31,c_Set_Oinsert(X14,X15,X3)) = hAPP(hAPP(X26,X14),hAPP(X31,X15))
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    file('<stdin>',cls_complete__lattice_OSup__insert_0) ).

fof(c_0_12_013,axiom,
    ! [X25,X26,X27,X28,X29,X30,X14,X31,X32,X15,X3] :
      ( hAPP(X32,c_Set_Oinsert(X14,X15,X3)) = hAPP(hAPP(X29,X14),hAPP(X32,X15))
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    file('<stdin>',cls_complete__lattice_OInf__insert_0) ).

fof(c_0_13_014,axiom,
    ! [X25,X26,X27,X28,X29,X30,X31,X32,X3] :
      ( hAPP(X31,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))) = X25
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    file('<stdin>',cls_complete__lattice_OSup__UNIV_0) ).

fof(c_0_14_015,axiom,
    ! [X25,X26,X27,X28,X29,X30,X31,X32,X3] :
      ( hAPP(X32,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))) = X30
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    file('<stdin>',cls_complete__lattice_OInf__UNIV_0) ).

fof(c_0_15_016,axiom,
    ! [X25,X26,X27,X28,X29,X30,X31,X32,X3] :
      ( hAPP(X32,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))) = X25
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    file('<stdin>',cls_complete__lattice_OInf__empty_0) ).

fof(c_0_16_017,axiom,
    ! [X25,X26,X27,X28,X29,X30,X31,X32,X3] :
      ( hAPP(X31,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))) = X30
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    file('<stdin>',cls_complete__lattice_OSup__empty_0) ).

fof(c_0_17_018,axiom,
    ! [X22,X33,X39,X14,X15,X9,X3] :
      ( c_Finite__Set_Ofold__image(X33,X39,X22,c_Set_Oinsert(X14,X15,X9),X3,X9) = hAPP(hAPP(X33,hAPP(X39,X14)),c_Finite__Set_Ofold__image(X33,X39,X22,X15,X3,X9))
      | hBOOL(hAPP(hAPP(c_in(X9),X14),X15))
      | ~ c_Finite__Set_Ofinite(X15,X9)
      | ~ c_OrderedGroup_Oab__semigroup__mult(X33,X3) ),
    file('<stdin>',cls_ab__semigroup__mult_Ofold__image__insert_0) ).

fof(c_0_18_019,axiom,
    ! [X6,X33,X13,X14,X15,X3] :
      ( c_Finite__Set_Ofold__graph(X33,X14,c_Set_Oinsert(X13,c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),X6,X3,X3)
      | hBOOL(hAPP(hAPP(c_in(X3),X13),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15))
      | ~ c_Finite__Set_Ofold__graph(X33,X13,X15,X6,X3,X3)
      | ~ c_OrderedGroup_Oab__semigroup__mult(X33,X3) ),
    file('<stdin>',cls_ab__semigroup__mult_Ofold__graph__permute__diff_0) ).

fof(c_0_19_020,axiom,
    ! [X22,X34,X6,X21,X15,X9,X3] :
      ( c_Finite__Set_Ofold__graph(X21,X22,X15,hAPP(hAPP(X21,X6),X34),X3,X9)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_Finite__Set_Ofold__graph(X21,X22,c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X34,X3,X9) ),
    file('<stdin>',cls_Diff1__fold__graph_0) ).

fof(c_0_20_021,axiom,
    ! [X22,X34,X6,X21,X15,X9,X3] :
      ( c_Nitpick_Ofold__graph_H(X21,X22,X15,hAPP(hAPP(X21,X6),X34),X3,X9)
      | ~ c_Nitpick_Ofold__graph_H(X21,X22,c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X34,X3,X9)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    file('<stdin>',cls_fold__graph_H_Ointros_I2_J_0) ).

fof(c_0_21_022,axiom,
    ! [X22,X34,X33,X13,X15,X3] :
      ( c_Finite__Set_Ofold__graph(X33,X22,c_Set_Oinsert(X13,X15,X3),hAPP(hAPP(X33,X22),X34),X3,X3)
      | hBOOL(hAPP(hAPP(c_in(X3),X13),X15))
      | ~ c_Finite__Set_Ofold__graph(X33,X13,X15,X34,X3,X3)
      | ~ c_OrderedGroup_Oab__semigroup__mult(X33,X3) ),
    file('<stdin>',cls_ab__semigroup__mult_Ofold__graph__insert__swap_0) ).

fof(c_0_22_023,axiom,
    ! [X22,X34,X6,X21,X15,X9,X3] :
      ( c_Finite__Set_Ofold__graph(X21,X22,c_Set_Oinsert(X6,X15,X3),hAPP(hAPP(X21,X6),X34),X3,X9)
      | ~ c_Finite__Set_Ofold__graph(X21,X22,X15,X34,X3,X9)
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    file('<stdin>',cls_fold__graph_OinsertI_0) ).

fof(c_0_23_024,axiom,
    ! [X22,X33,X56,X39,X15,X44,X9,X3] :
      ( c_Finite__Set_Ofold__image(X33,X39,X22,c_Set_Oimage(X56,X15,X9,X44),X3,X44) = c_Finite__Set_Ofold__image(X33,c_Fun_Ocomp(X39,X56,X44,X3,X9),X22,X15,X3,X9)
      | ~ c_Fun_Oinj__on(X56,X15,X9,X44)
      | ~ c_Finite__Set_Ofinite(X15,X9)
      | ~ c_OrderedGroup_Oab__semigroup__mult(X33,X3) ),
    file('<stdin>',cls_ab__semigroup__mult_Ofold__image__reindex_0) ).

fof(c_0_24_025,axiom,
    ! [X6,X21,X14,X15,X3] :
      ( c_Finite__Set_Ofold1Set(X21,c_Set_Oinsert(X14,X15,X3),X6,X3)
      | hBOOL(hAPP(hAPP(c_in(X3),X14),X15))
      | ~ c_Finite__Set_Ofold__graph(X21,X14,X15,X6,X3,X3) ),
    file('<stdin>',cls_fold1Set_Ointros_0) ).

fof(c_0_25_026,axiom,
    ! [X22,X6,X21,X9,X3] :
      ( X6 = X22
      | ~ c_Finite__Set_Ofold__graph(X21,X22,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X6,X3,X9) ),
    file('<stdin>',cls_empty__fold__graphE_0) ).

fof(c_0_26_027,axiom,
    ! [X22,X6,X21,X15,X9,X3] :
      ( c_Finite__Set_Ofinite(X15,X3)
      | ~ c_Finite__Set_Ofold__graph(X21,X22,X15,X6,X3,X9) ),
    file('<stdin>',cls_fold__graph__imp__finite_0) ).

fof(c_0_27_028,axiom,
    ! [X21,X14,X15,X9,X3] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X9),hAPP(X21,X14)),c_Set_Oimage(X21,c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X9)))
      | ~ c_Fun_Oinj__on(X21,c_Set_Oinsert(X14,X15,X3),X3,X9) ),
    file('<stdin>',cls_inj__on__insert_1) ).

fof(c_0_28_029,axiom,
    ! [X21,X16,X15,X9,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X9,tc_bool)),c_Set_Oimage(X21,c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3,X9)),c_Set_Oimage(X21,c_HOL_Ominus__class_Ominus(X16,X15,tc_fun(X3,tc_bool)),X3,X9)) != c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X21,X16,X3,X9)
      | ~ c_Fun_Oinj__on(X21,X15,X3,X9)
      | c_Fun_Oinj__on(X21,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X3,X9) ),
    file('<stdin>',cls_inj__on__Un_3) ).

fof(c_0_29_030,axiom,
    ! [X38,X6,X40,X39,X41,X21,X42,X43,X44,X9,X3] :
      ( hAPP(X21,hAPP(X39,X6)) != hAPP(X41,hAPP(X40,X38))
      | hAPP(c_Fun_Ocomp(X21,X39,X9,X3,X44),X6) = hAPP(c_Fun_Ocomp(X41,X40,X43,X3,X42),X38) ),
    file('<stdin>',cls_comp__cong_0) ).

fof(c_0_30_031,axiom,
    ! [X39,X21,X15,X44,X9,X3] :
      ( c_Fun_Oinj__on(X39,c_Set_Oimage(X21,X15,X3,X44),X44,X9)
      | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X39,X21,X44,X9,X3),X15,X3,X9) ),
    file('<stdin>',cls_inj__on__imageI_0) ).

fof(c_0_31_032,axiom,
    ! [X21,X14,X15,X9,X3] :
      ( c_Fun_Oinj__on(X21,c_Set_Oinsert(X14,X15,X3),X3,X9)
      | hBOOL(hAPP(hAPP(c_in(X9),hAPP(X21,X14)),c_Set_Oimage(X21,c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X9)))
      | ~ c_Fun_Oinj__on(X21,X15,X3,X9) ),
    file('<stdin>',cls_inj__on__insert_2) ).

fof(c_0_32_033,axiom,
    ! [X39,X21,X15,X44,X9,X3] :
      ( c_Fun_Oinj__on(c_Fun_Ocomp(X39,X21,X9,X44,X3),X15,X3,X44)
      | ~ c_Fun_Oinj__on(X39,c_Set_Oimage(X21,X15,X3,X9),X9,X44)
      | ~ c_Fun_Oinj__on(X21,X15,X3,X9) ),
    file('<stdin>',cls_comp__inj__on_0) ).

fof(c_0_33_034,axiom,
    ! [X45,X23,X24,X13,X14,X43,X44,X9,X3] :
      ( c_Fun_Ocomp(X14,X13,X44,X9,X3) != c_Fun_Ocomp(X24,X23,X43,X9,X3)
      | hAPP(X14,hAPP(X13,X45)) = hAPP(X24,hAPP(X23,X45)) ),
    file('<stdin>',cls_o__eq__dest_0) ).

fof(c_0_34_035,axiom,
    ! [X45,X24,X13,X14,X44,X9,X3] :
      ( c_Fun_Ocomp(X14,X13,X44,X9,X3) != c_Fun_Ocomp(c_Fun_Oid(X9),X24,X9,X9,X3)
      | hAPP(X14,hAPP(X13,X45)) = hAPP(X24,X45) ),
    file('<stdin>',cls_o__eq__id__dest_0) ).

fof(c_0_35_036,axiom,
    ! [X13,X14,X15,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X3),X13,c_Set_Oinsert(X14,X15,X3),X3,X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X14),c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X3),X13,X15,X3,X3))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    file('<stdin>',cls_fold__inf__insert_0) ).

fof(c_0_36_037,axiom,
    ! [X13,X14,X15,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X3),X13,c_Set_Oinsert(X14,X15,X3),X3,X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X3),X13,X15,X3,X3))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    file('<stdin>',cls_fold__sup__insert_0) ).

fof(c_0_37_038,axiom,
    ! [X8,X48,X3] :
      ( c_lessequals(X48,X8,tc_fun(X3,tc_bool))
      | ~ c_lessequals(hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X48),hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X8),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_pred__subset__eq_0) ).

fof(c_0_38_039,axiom,
    ! [X21,X16,X15,X9,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X9,tc_bool)),c_Set_Oimage(X21,c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3,X9)),c_Set_Oimage(X21,c_HOL_Ominus__class_Ominus(X16,X15,tc_fun(X3,tc_bool)),X3,X9)) = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X21,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X3,X9) ),
    file('<stdin>',cls_inj__on__Un_2) ).

fof(c_0_39_040,axiom,
    ! [X21,X13,X14,X9,X3] :
      ( hAPP(X21,X14) = X13
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),c_Set_Ovimage(X21,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9),X3,X9))) ),
    file('<stdin>',cls_vimage__singleton__eq_0) ).

fof(c_0_40_041,axiom,
    ! [X21,X36,X16,X15,X9,X3] :
      ( c_Set_Oimage(X21,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),X3,X9) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X9,tc_bool)),c_Set_Oimage(X21,X15,X3,X9)),c_Set_Oimage(X21,X16,X3,X9))
      | ~ c_lessequals(X16,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X36,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X21,X36,X3,X9) ),
    file('<stdin>',cls_inj__on__image__Int_0) ).

fof(c_0_41_042,axiom,
    ! [X13,X14,X15,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),X13),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X3),X13,X15,X3,X3),X3)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    file('<stdin>',cls_sup__le__fold__sup_0) ).

fof(c_0_42_043,axiom,
    ! [X13,X14,X15,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X3),X13,X15,X3,X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X14),X13),X3)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    file('<stdin>',cls_fold__inf__le__inf_0) ).

fof(c_0_43_044,axiom,
    ! [X21,X16,X15,X9,X3] :
      ( c_Set_Oimage(X21,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),X3,X9) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X9,tc_bool)),c_Set_Oimage(X21,X15,X3,X9)),c_Set_Oimage(X21,X16,X3,X9))
      | ~ c_Fun_Oinj__on(X21,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_image__Int_0) ).

fof(c_0_44_045,axiom,
    ! [X39,X21,X14,X15,X9,X3] :
      ( hAPP(c_Fun_Ooverride__on(X21,X39,X15,X3,X9),X14) = hAPP(X39,X14)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15)) ),
    file('<stdin>',cls_override__on__apply__in_0) ).

fof(c_0_45_046,axiom,
    ! [X39,X21,X14,X15,X9,X3] :
      ( hAPP(c_Fun_Ooverride__on(X21,X39,X15,X3,X9),X14) = hAPP(X21,X14)
      | hBOOL(hAPP(hAPP(c_in(X3),X14),X15)) ),
    file('<stdin>',cls_override__on__apply__notin_0) ).

fof(c_0_46_047,axiom,
    ! [X21,X14,X15,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X14),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X9),hAPP(X21,X14)),c_Set_Oimage(X21,X15,X3,X9)))
      | ~ c_Fun_Oinj__on(X21,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inj__image__mem__iff_0) ).

fof(c_0_47_048,axiom,
    ! [X8,X48,X3] :
      ( c_lessequals(hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X48),hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X8),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X48,X8,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_pred__subset__eq_1) ).

fof(c_0_48_049,axiom,
    ! [X16,X15,X9,X3] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X9,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X9),c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1(X15,X16,X9,X3)),X15)) ),
    file('<stdin>',cls_UNION__empty__conv_I1_J_1) ).

fof(c_0_49_050,axiom,
    ! [X16,X15,X9,X3] :
      ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X9,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X9),c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1(X15,X16,X9,X3)),X15)) ),
    file('<stdin>',cls_UNION__empty__conv_I2_J_1) ).

fof(c_0_50_051,axiom,
    ! [X21,X16,X15,X9,X3] :
      ( c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Set_Oimage(X21,X15,X3,X9),c_Set_Oimage(X21,X16,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X21,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inj__image__subset__iff_0) ).

fof(c_0_51_052,axiom,
    ! [X21,X36,X16,X15,X9,X3] :
      ( c_Set_Oimage(X21,c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3,X9) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X21,X15,X3,X9),c_Set_Oimage(X21,X16,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_lessequals(X16,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X36,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X21,X36,X3,X9) ),
    file('<stdin>',cls_inj__on__image__set__diff_0) ).

fof(c_0_52_053,axiom,
    ! [X21,X16,X15,X9,X3] :
      ( c_lessequals(c_Set_Ovimage(X21,X16,X3,X9),X15,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X16,c_Set_Oimage(X21,X15,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X21,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_vimage__subsetI_0) ).

fof(c_0_53_054,axiom,
    ! [X21,X16,X15,X9,X3] :
      ( c_Set_Oimage(X21,c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3,X9) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X21,X15,X3,X9),c_Set_Oimage(X21,X16,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X21,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_image__set__diff_0) ).

fof(c_0_54_055,axiom,
    ! [X21,X14,X16,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X9),hAPP(X21,X14)),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),c_Set_Ovimage(X21,X16,X3,X9))) ),
    file('<stdin>',cls_vimageE_0) ).

fof(c_0_55_056,axiom,
    ! [X21,X14,X15,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X9),hAPP(X21,X14)),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),c_Set_Ovimage(X21,X15,X3,X9))) ),
    file('<stdin>',cls_vimageD_0) ).

fof(c_0_56_057,axiom,
    ! [X36,X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16)),X36) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X16),X36))
      | c_lessequals(X36,X15,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__Int__assoc__eq_0) ).

fof(c_0_57_058,axiom,
    ! [X21,X14,X15,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X9),hAPP(X21,X14)),c_Set_Oimage(X21,X15,X3,X9)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15))
      | ~ c_Fun_Oinj__on(X21,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inj__image__mem__iff_1) ).

fof(c_0_58_059,axiom,
    ! [X8,X48,X3] :
      ( hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X48) != hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X8)
      | X48 = X8 ),
    file('<stdin>',cls_pred__equals__eq_0) ).

fof(c_0_59_060,axiom,
    ! [X6,X21,X15,X9,X3] :
      ( hBOOL(hAPP(X15,hAPP(X21,X6)))
      | ~ hBOOL(hAPP(c_Set_Ovimage(X21,X15,X3,X9),X6)) ),
    file('<stdin>',cls_vimage__code_0) ).

fof(c_0_60_061,axiom,
    ! [X21,X16,X15,X9,X3] :
      ( c_lessequals(c_Set_Oimage(X21,X15,X3,X9),c_Set_Oimage(X21,X16,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X21,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inj__image__subset__iff_1) ).

fof(c_0_61_062,axiom,
    ! [X21,X16,X15,X9,X3] :
      ( c_Set_Oimage(X21,X15,X3,X9) != c_Set_Oimage(X21,X16,X3,X9)
      | ~ c_Fun_Oinj__on(X21,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X3,X9)
      | X15 = X16 ),
    file('<stdin>',cls_inj__on__Un__image__eq__iff_0) ).

fof(c_0_62_063,axiom,
    ! [X6,X13,X16,X15,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X13),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X9,tc_fun(X3,tc_bool))))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X13),hAPP(X16,X6)))
      | ~ hBOOL(hAPP(hAPP(c_in(X9),X6),X15)) ),
    file('<stdin>',cls_UN__iff_2) ).

fof(c_0_63_064,axiom,
    ! [X13,X14,X16,X15,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X9),X13),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X3,tc_fun(X9,tc_bool))))
      | ~ hBOOL(hAPP(hAPP(c_in(X9),X13),hAPP(X16,X14)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15)) ),
    file('<stdin>',cls_UN__I_0) ).

fof(c_0_64_065,axiom,
    ! [X21,X15,X3] :
      ( c_Set_Oimage(X21,X15,X3,X3) = X15
      | ~ c_Fun_Oinj__on(X21,X15,X3,X3)
      | ~ c_lessequals(c_Set_Oimage(X21,X15,X3,X3),X15,tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    file('<stdin>',cls_endo__inj__surj_0) ).

fof(c_0_65_066,axiom,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X16,tc_fun(X3,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_psubset__insert__iff_8) ).

fof(c_0_66_067,axiom,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X16,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X16)) ),
    file('<stdin>',cls_psubset__insert__iff_4) ).

fof(c_0_67_068,axiom,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X16,tc_fun(X3,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_psubset__insert__iff_9) ).

fof(c_0_68_069,axiom,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X16,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X16)) ),
    file('<stdin>',cls_psubset__insert__iff_5) ).

fof(c_0_69_070,axiom,
    ! [X21,X14,X16,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X14),c_Set_Ovimage(X21,X16,X3,X9)))
      | ~ hBOOL(hAPP(hAPP(c_in(X9),hAPP(X21,X14)),X16)) ),
    file('<stdin>',cls_vimage__eq_1) ).

fof(c_0_70_071,axiom,
    ! [X21,X14,X15,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X9),X14),c_Set_Ovimage(X21,X15,X9,X3)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),hAPP(X21,X14)),X15)) ),
    file('<stdin>',cls_vimageI2_0) ).

fof(c_0_71_072,axiom,
    ! [X21,X14,X16,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X9),X14),c_Set_Ovimage(X21,X16,X9,X3)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),hAPP(X21,X14)),X16)) ),
    file('<stdin>',cls_vimageI_0) ).

fof(c_0_72_073,axiom,
    ! [X6,X13,X16,X15,X9,X3] :
      ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X3,tc_fun(X9,tc_bool)),X13))
      | ~ hBOOL(hAPP(hAPP(X16,X6),X13))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    file('<stdin>',cls_SUP1__iff_2) ).

fof(c_0_73_074,axiom,
    ! [X13,X14,X16,X15,X9,X3] :
      ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X3,tc_fun(X9,tc_bool)),X13))
      | ~ hBOOL(hAPP(hAPP(X16,X14),X13))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15)) ),
    file('<stdin>',cls_SUP1__I_0) ).

fof(c_0_74_075,axiom,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_diff__single__insert_0) ).

fof(c_0_75_076,axiom,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__insert__iff_3) ).

fof(c_0_76_077,axiom,
    ! [X6,X21,X15,X47,X3] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X47),X6),X15))
      | hBOOL(hAPP(hAPP(c_in(X3),hAPP(X21,X6)),c_Set_Oimage(X21,X15,X47,X3))) ),
    file('<stdin>',cls_rev__image__eqI_0) ).

fof(c_0_77_078,axiom,
    ! [X6,X21,X15,X9,X3] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X9),X6),X15))
      | hBOOL(hAPP(hAPP(c_in(X3),hAPP(X21,X6)),c_Set_Oimage(X21,X15,X9,X3))) ),
    file('<stdin>',cls_image__iff_2) ).

fof(c_0_78_079,axiom,
    ! [X6,X21,X15,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),hAPP(X21,X6)),c_Set_Oimage(X21,X15,X9,X3)))
      | ~ hBOOL(hAPP(hAPP(c_in(X9),X6),X15)) ),
    file('<stdin>',cls_image__eqI_0) ).

fof(c_0_79_080,axiom,
    ! [X6,X21,X15,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X9),hAPP(X21,X6)),c_Set_Oimage(X21,X15,X3,X9)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    file('<stdin>',cls_imageI_0) ).

fof(c_0_80_081,axiom,
    ! [X6,X7,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),c_Collect(X7,X3)))) ),
    file('<stdin>',cls_Int__Collect_0) ).

fof(c_0_81_082,axiom,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__insert__iff_4) ).

fof(c_0_82_083,axiom,
    ! [X16,X15,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X16),c_Complete__Lattice_OSup__class_OSup(X15,X3)) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X3),X16,X15,X3,X3)
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    file('<stdin>',cls_sup__Sup__fold__sup_0) ).

fof(c_0_83_084,axiom,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),X16))
      | hBOOL(hAPP(hAPP(c_in(X3),X24),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16))) ),
    file('<stdin>',cls_UnE_0) ).

fof(c_0_84_085,axiom,
    ! [X6,X21,X16,X15,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),hAPP(X21,X6)),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X9),X6),X15))
      | ~ c_lessequals(c_Set_Oimage(X21,X15,X9,X3),X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_image__subset__iff_0) ).

fof(c_0_85_086,axiom,
    ! [X36,X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16)),X36) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X16),X36))
      | ~ c_lessequals(X36,X15,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__Int__assoc__eq_1) ).

fof(c_0_86_087,axiom,
    ! [X15,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(X15,X3) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X3),c_Orderings_Obot__class_Obot(X3),X15,X3,X3)
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    file('<stdin>',cls_Sup__fold__sup_0) ).

fof(c_0_87_088,axiom,
    ! [X6,X7,X15,X3] :
      ( hBOOL(hAPP(X7,X6))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),c_Collect(X7,X3)))) ),
    file('<stdin>',cls_Int__Collect_1) ).

fof(c_0_88_089,axiom,
    ! [X21,X16,X15,X9,X3] :
      ( c_Set_Oimage(X21,X15,X3,X9) != c_Set_Oimage(X21,X16,X3,X9)
      | ~ c_Fun_Oinj__on(X21,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
      | X15 = X16 ),
    file('<stdin>',cls_inj__image__eq__iff_0) ).

fof(c_0_89_090,axiom,
    ! [X6,X60,X16,X15,X9,X3] :
      ( c_lessequals(hAPP(X15,X6),X16,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X9),X6),X60))
      | ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X60,X15,X9,tc_fun(X3,tc_bool)),X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_UN__subset__iff_0) ).

fof(c_0_90_091,axiom,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X16,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X16))
      | ~ c_HOL_Oord__class_Oless(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_psubset__insert__iff_1) ).

fof(c_0_91_092,axiom,
    ! [X21,X15,X9,X3] :
      ( c_Set_Ovimage(X21,c_Set_Oimage(X21,X15,X3,X9),X3,X9) = X15
      | ~ c_Fun_Oinj__on(X21,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inj__vimage__image__eq_0) ).

fof(c_0_92_093,axiom,
    ! [X21,X15,X9,X3] :
      ( c_Finite__Set_Ofinite(X15,X9)
      | ~ c_Fun_Oinj__on(X21,X15,X9,X3)
      | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X21,X15,X9,X3),X3) ),
    file('<stdin>',cls_finite__imageD_0) ).

fof(c_0_93_094,axiom,
    ! [X21,X16,X15,X9,X3] :
      ( c_lessequals(c_Set_Ovimage(X21,X15,X9,X3),c_Set_Ovimage(X21,X16,X9,X3),tc_fun(X9,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_vimage__mono_0) ).

fof(c_0_94_095,axiom,
    ! [X21,X16,X15,X9,X3] :
      ( c_lessequals(c_Set_Oimage(X21,X15,X3,X9),c_Set_Oimage(X21,X16,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_image__mono_0) ).

fof(c_0_95_096,axiom,
    ! [X6,X21,X15,X9,X3] :
      ( ~ c_lessequals(X6,X15,tc_fun(X9,tc_bool))
      | c_lessequals(c_Set_Oimage(X21,X6,X9,X3),c_Set_Oimage(X21,X15,X9,X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__image__iff_2) ).

fof(c_0_96_097,axiom,
    ! [X59,X60,X15,X9,X3] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X9,tc_bool)),hAPP(X15,X59)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X60,X15,X3,tc_fun(X9,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X60,X15,X3,tc_fun(X9,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X59),X60)) ),
    file('<stdin>',cls_UN__absorb_0) ).

fof(c_0_97_098,axiom,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16))) ),
    file('<stdin>',cls_IntE_1) ).

fof(c_0_98_099,axiom,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16))) ),
    file('<stdin>',cls_IntE_0) ).

fof(c_0_99_100,axiom,
    ! [X21,X15,X3] :
      ( c_Fun_Oinj__on(X21,X15,X3,X3)
      | ~ c_lessequals(X15,c_Set_Oimage(X21,X15,X3,X3),tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    file('<stdin>',cls_finite__surj__inj_0) ).

fof(c_0_100_101,axiom,
    ! [X6,X21,X15,X9,X3] :
      ( hBOOL(hAPP(c_Set_Ovimage(X21,X15,X3,X9),X6))
      | ~ hBOOL(hAPP(X15,hAPP(X21,X6))) ),
    file('<stdin>',cls_vimage__code_1) ).

fof(c_0_101_102,axiom,
    ! [X16,X15,X9,X3] :
      ( hAPP(X16,c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1(X15,X16,X9,X3)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X9,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_UNION__empty__conv_I2_J_2) ).

fof(c_0_102_103,axiom,
    ! [X16,X15,X9,X3] :
      ( hAPP(X16,c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1(X15,X16,X9,X3)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X9,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_UNION__empty__conv_I1_J_2) ).

fof(c_0_103_104,axiom,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X16,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_lessequals(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__insert__iff_0) ).

fof(c_0_104_105,axiom,
    ! [X6,X16,X15,X9,X3] :
      ( c_Finite__Set_Ofinite(hAPP(X16,X6),X9)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X3,tc_fun(X9,tc_bool)),X9)
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    file('<stdin>',cls_finite__UN_0) ).

fof(c_0_105_106,axiom,
    ! [X21,X16,X15,X9,X3] :
      ( c_Fun_Oinj__on(X21,X16,X3,X9)
      | ~ c_Fun_Oinj__on(X21,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X3,X9) ),
    file('<stdin>',cls_inj__on__Un_1) ).

fof(c_0_106_107,axiom,
    ! [X21,X16,X15,X9,X3] :
      ( c_Fun_Oinj__on(X21,X15,X3,X9)
      | ~ c_Fun_Oinj__on(X21,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X3,X9) ),
    file('<stdin>',cls_inj__on__Un_0) ).

fof(c_0_107_108,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X22)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X22)),X3) ),
    file('<stdin>',cls_distrib__inf__le_0) ).

fof(c_0_108_109,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X22)),X3) ),
    file('<stdin>',cls_distrib__sup__le_0) ).

fof(c_0_109_110,axiom,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X15)) ),
    file('<stdin>',cls_Int__iff_2) ).

fof(c_0_110_111,axiom,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X15)) ),
    file('<stdin>',cls_IntI_0) ).

fof(c_0_111_112,axiom,
    ! [X6,X16,X15,X3] :
      ( hBOOL(hAPP(X16,X6))
      | hBOOL(hAPP(X15,X6))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X6)) ),
    file('<stdin>',cls_sup1E_0) ).

fof(c_0_112_113,axiom,
    ! [X56,X50,X9,X3] :
      ( c_Finite__Set_Ofinite(c_Set_Ovimage(X56,X50,X9,X3),X9)
      | ~ c_Fun_Oinj__on(X56,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool)),X9,X3)
      | ~ c_Finite__Set_Ofinite(X50,X3) ),
    file('<stdin>',cls_finite__vimageI_0) ).

fof(c_0_113_114,axiom,
    ! [X6,X7,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),c_Collect(X7,X3))))
      | ~ hBOOL(hAPP(X7,X6))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    file('<stdin>',cls_Int__Collect_2) ).

fof(c_0_114_115,axiom,
    ! [X6,X21,X15,X9,X3] :
      ( c_Set_Oinsert(hAPP(X21,X6),c_Set_Oimage(X21,X15,X3,X9),X9) = c_Set_Oimage(X21,X15,X3,X9)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    file('<stdin>',cls_insert__image_0) ).

fof(c_0_115_116,axiom,
    ! [X6,X16,X15,X3] :
      ( hBOOL(hAPP(X16,X6))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),X6)) ),
    file('<stdin>',cls_inf1E_1) ).

fof(c_0_116_117,axiom,
    ! [X6,X16,X15,X3] :
      ( hBOOL(hAPP(X15,X6))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),X6)) ),
    file('<stdin>',cls_inf1E_0) ).

fof(c_0_117_118,axiom,
    ! [X21,X16,X15,X9,X3] :
      ( c_Finite__Set_Ofinite(X16,X9)
      | ~ c_lessequals(X16,c_Set_Oimage(X21,X15,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    file('<stdin>',cls_finite__surj_0) ).

fof(c_0_118_119,axiom,
    ! [X35,X36,X16,X15,X3] :
      ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X36),X35),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X16,X35,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X36,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__mono_0) ).

fof(c_0_119_120,axiom,
    ! [X35,X36,X16,X15,X3] :
      ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X36),X35),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X16,X35,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X36,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Int__mono_0) ).

fof(c_0_120_121,axiom,
    ! [X14,X36,X16,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Set_Oinsert(X14,X16,X3)),X36) = c_Set_Oinsert(X14,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X16),X36),X3)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X36)) ),
    file('<stdin>',cls_Int__insert__left_0) ).

fof(c_0_121_122,axiom,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X15)) ),
    file('<stdin>',cls_UnCI_1) ).

fof(c_0_122_123,axiom,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X16)) ),
    file('<stdin>',cls_UnCI_0) ).

fof(c_0_123_124,axiom,
    ! [X23,X24,X13,X14,X3] :
      ( c_Set_Oinsert(X14,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X24,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X13 = X24
      | X13 = X23 ),
    file('<stdin>',cls_doubleton__eq__iff_3) ).

fof(c_0_124_125,axiom,
    ! [X23,X24,X13,X14,X3] :
      ( c_Set_Oinsert(X14,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X24,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X14 = X23
      | X13 = X23 ),
    file('<stdin>',cls_doubleton__eq__iff_2) ).

fof(c_0_125_126,axiom,
    ! [X23,X24,X13,X14,X3] :
      ( c_Set_Oinsert(X14,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X24,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X13 = X24
      | X14 = X24 ),
    file('<stdin>',cls_doubleton__eq__iff_1) ).

fof(c_0_126_127,axiom,
    ! [X23,X24,X13,X14,X3] :
      ( c_Set_Oinsert(X14,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X24,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X14 = X23
      | X14 = X24 ),
    file('<stdin>',cls_doubleton__eq__iff_0) ).

fof(c_0_127_128,axiom,
    ! [X13,X14,X3] :
      ( X13 = X14
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X13),c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))) ),
    file('<stdin>',cls_singletonE_0) ).

fof(c_0_128_129,axiom,
    ! [X24,X16,X15,X3] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)))) ),
    file('<stdin>',cls_DiffE_1) ).

fof(c_0_129_130,axiom,
    ! [X14,X16,X15,X9,X3] :
      ( c_lessequals(hAPP(X16,X14),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X3,tc_fun(X9,tc_bool)),tc_fun(X9,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15)) ),
    file('<stdin>',cls_UN__upper_0) ).

fof(c_0_130_131,axiom,
    ! [X21,X14,X15,X9,X3] :
      ( c_Fun_Oinj__on(X21,X15,X3,X9)
      | ~ c_Fun_Oinj__on(X21,c_Set_Oinsert(X14,X15,X3),X3,X9) ),
    file('<stdin>',cls_inj__on__insert_0) ).

fof(c_0_131_132,axiom,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X16),X36),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Diff__subset__conv_1) ).

fof(c_0_132_133,axiom,
    ! [X14,X15,X3] :
      ( c_Set_Oinsert(X14,c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X15
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15)) ),
    file('<stdin>',cls_insert__Diff_0) ).

fof(c_0_133_134,axiom,
    ! [X21,X16,X15,X9,X3] :
      ( c_Fun_Oinj__on(X21,c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3,X9)
      | ~ c_Fun_Oinj__on(X21,X15,X3,X9) ),
    file('<stdin>',cls_inj__on__diff_0) ).

fof(c_0_134_135,axiom,
    ! [X34,X6,X21,X15,X9,X3] :
      ( hAPP(X21,X6) != hAPP(X21,X34)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X34),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | X6 = X34
      | ~ c_Fun_Oinj__on(X21,X15,X3,X9) ),
    file('<stdin>',cls_inj__on__contraD_0) ).

fof(c_0_135_136,axiom,
    ! [X34,X6,X21,X15,X9,X3] :
      ( hAPP(X21,X6) != hAPP(X21,X34)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X34),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_Fun_Oinj__on(X21,X15,X3,X9)
      | X6 = X34 ),
    file('<stdin>',cls_inj__on__iff_0) ).

fof(c_0_136_137,axiom,
    ! [X12,X6,X21,X15,X9,X3] :
      ( hAPP(X21,X6) != hAPP(X21,X12)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X12),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_Fun_Oinj__on(X21,X15,X3,X9)
      | X6 = X12 ),
    file('<stdin>',cls_inj__on__def_0) ).

fof(c_0_137_138,axiom,
    ! [X34,X6,X21,X15,X9,X3] :
      ( hAPP(X21,X6) != hAPP(X21,X34)
      | ~ c_Fun_Oinj__on(X21,X15,X3,X9)
      | X6 = X34
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X34),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    file('<stdin>',cls_inj__onD_0) ).

fof(c_0_138_139,axiom,
    ! [X14,X16,X15,X3] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X14,X16,X3),tc_fun(X3,tc_bool)),X3) ),
    file('<stdin>',cls_finite__Diff__insert_0) ).

fof(c_0_139_140,axiom,
    ! [X21,X16,X15,X9,X3] :
      ( c_Fun_Oinj__on(X21,X15,X3,X9)
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X21,X16,X3,X9) ),
    file('<stdin>',cls_subset__inj__on_0) ).

fof(c_0_140_141,axiom,
    ! [X14,X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),c_Set_Oinsert(X14,X16,X3)) = c_Set_Oinsert(X14,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),X3)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15)) ),
    file('<stdin>',cls_Int__insert__right_0) ).

fof(c_0_141_142,axiom,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)))) ),
    file('<stdin>',cls_DiffE_0) ).

fof(c_0_142_143,axiom,
    ! [X61,X55,X15,X9,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X9)
      | c_lessequals(hAPP(X55,X61),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X55,X3,X9),X9)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X61),X15)) ),
    file('<stdin>',cls_le__SUPI_0) ).

fof(c_0_143_144,axiom,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(X15,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X16),X36),tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X36,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Diff__subset__conv_0) ).

fof(c_0_144_145,axiom,
    ! [X21,X13,X14,X3] :
      ( X14 = X13
      | ~ c_Finite__Set_Ofold1Set(X21,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X13,X3) ),
    file('<stdin>',cls_fold1Set__sing_0) ).

fof(c_0_145_146,axiom,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__2(X15,X16,X3)),X16)) ),
    file('<stdin>',cls_disjoint__iff__not__equal_2) ).

fof(c_0_146_147,axiom,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__1(X15,X16,X3)),X15)) ),
    file('<stdin>',cls_disjoint__iff__not__equal_1) ).

fof(c_0_147_148,axiom,
    ! [X6,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),X6))
      | ~ hBOOL(hAPP(X16,X6))
      | ~ hBOOL(hAPP(X15,X6)) ),
    file('<stdin>',cls_inf1I_0) ).

fof(c_0_148_149,axiom,
    ! [X6,X49,X15,X9,X3] :
      ( hAPP(c_Map_Orestrict__map(X49,X15,X3,X9),X6) = hAPP(X49,X6)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    file('<stdin>',cls_restrict__in_0) ).

fof(c_0_149_150,axiom,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool))))
      | hBOOL(hAPP(hAPP(c_in(X3),X24),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X15)) ),
    file('<stdin>',cls_Diff__iff_2) ).

fof(c_0_150_151,axiom,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool))))
      | hBOOL(hAPP(hAPP(c_in(X3),X24),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X15)) ),
    file('<stdin>',cls_DiffI_0) ).

fof(c_0_151_152,axiom,
    ! [X6,X16,X15,X9,X3] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X9,tc_fun(X3,tc_bool))
      | hAPP(X16,X6) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X9),X6),X15)) ),
    file('<stdin>',cls_UNION__empty__conv_I1_J_0) ).

fof(c_0_152_153,axiom,
    ! [X6,X16,X15,X9,X3] :
      ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X9,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | hAPP(X16,X6) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X9),X6),X15)) ),
    file('<stdin>',cls_UNION__empty__conv_I2_J_0) ).

fof(c_0_153_154,axiom,
    ! [X6,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X6))
      | ~ hBOOL(hAPP(X16,X6)) ),
    file('<stdin>',cls_sup1CI_0) ).

fof(c_0_154_155,axiom,
    ! [X6,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X6))
      | ~ hBOOL(hAPP(X15,X6)) ),
    file('<stdin>',cls_sup1CI_1) ).

fof(c_0_155_156,axiom,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(X36,X16,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X36,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Int__subset__iff_1) ).

fof(c_0_156_157,axiom,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(X36,X15,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X36,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Int__subset__iff_0) ).

fof(c_0_157_158,axiom,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(X15,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X36,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__subset__iff_0) ).

fof(c_0_158_159,axiom,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(X16,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X36,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__subset__iff_1) ).

fof(c_0_159_160,axiom,
    ! [X14,X16,X15,X3] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X14,X16,X3),tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3) ),
    file('<stdin>',cls_finite__Diff__insert_1) ).

fof(c_0_160_161,axiom,
    ! [X6,X24,X15,X9,X3] :
      ( c_Set_Oimage(c_COMBK(X24,X9,X3),X15,X3,X9) = c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    file('<stdin>',cls_image__constant_0) ).

fof(c_0_161_162,axiom,
    ! [X35,X36,X16,X15,X3] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X36,X35,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X35,X16,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X36,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Diff__mono_0) ).

fof(c_0_162_163,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X22)),X6) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X6)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X22),X6)) ),
    file('<stdin>',cls_inf__sup__distrib2_0) ).

fof(c_0_163_164,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22)),X6) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X6)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X22),X6)) ),
    file('<stdin>',cls_sup__inf__distrib2_0) ).

fof(c_0_164_165,axiom,
    ! [X6,X49,X15,X9,X3] :
      ( hAPP(c_Map_Orestrict__map(X49,X15,X3,X9),X6) = c_Option_Ooption_ONone(X9)
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    file('<stdin>',cls_restrict__out_0) ).

fof(c_0_165_166,axiom,
    ! [X13,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X14),X15))
      | X14 = X13
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),c_Set_Oinsert(X13,X15,X3))) ),
    file('<stdin>',cls_insertE_0) ).

fof(c_0_166_167,axiom,
    ! [X14,X36,X16,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Set_Oinsert(X14,X16,X3)),X36) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X16),X36)
      | hBOOL(hAPP(hAPP(c_in(X3),X14),X36)) ),
    file('<stdin>',cls_Int__insert__left_1) ).

fof(c_0_167_168,axiom,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X16,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X36,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__subset__iff_2) ).

fof(c_0_168_169,axiom,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X16,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X36,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__least_0) ).

fof(c_0_169_170,axiom,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(X36,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X36,X16,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X36,X15,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Int__greatest_0) ).

fof(c_0_170_171,axiom,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(X36,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X36,X16,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X36,X15,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Int__subset__iff_2) ).

fof(c_0_171_172,axiom,
    ! [X6,X16,X15,X3] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_disjoint__iff__not__equal_0) ).

fof(c_0_172_173,axiom,
    ! [X13,X14,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X14,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),X13) ),
    file('<stdin>',cls_Sup__binary_0) ).

fof(c_0_173_174,axiom,
    ! [X6,X15,X3] :
      ( X15 = c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__singletonD_0) ).

fof(c_0_174_175,axiom,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X16))
      | ~ c_HOL_Oord__class_Oless(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_psubset__insert__iff_2) ).

fof(c_0_175_176,axiom,
    ! [X10,X19,X11,X18] :
      ( c_Hoare__Mirabelle_Otriple__valid(X11,X19,t_a)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X19),X10))
      | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X18,X11)),X18))
      | ~ c_Hoare__Mirabelle_Ohoare__valids(X18,X10,t_a) ),
    file('<stdin>',cls_hoare__valids__def_0) ).

fof(c_0_176_177,axiom,
    ! [X24,X15,X9,X3] :
      ( c_Set_Ovimage(c_COMBK(X24,X9,X3),X15,X3,X9) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X9),X24),X15)) ),
    file('<stdin>',cls_vimage__const_0) ).

fof(c_0_177_178,axiom,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_psubset__insert__iff_7) ).

fof(c_0_178_179,axiom,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X16))
      | ~ c_HOL_Oord__class_Oless(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_psubset__insert__iff_0) ).

fof(c_0_179_180,axiom,
    ! [X56,X50,X9,X3] :
      ( c_Finite__Set_Ofinite(c_Set_Oimage(X56,X50,X3,X9),X9)
      | ~ c_Finite__Set_Ofinite(X50,X3) ),
    file('<stdin>',cls_finite__imageI_0) ).

fof(c_0_180_181,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X22)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X22)) ),
    file('<stdin>',cls_inf__sup__distrib1_0) ).

fof(c_0_181_182,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X22)) ),
    file('<stdin>',cls_sup__inf__distrib1_0) ).

fof(c_0_182_183,axiom,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X16)) ),
    file('<stdin>',cls_psubset__insert__iff_3) ).

fof(c_0_183_184,axiom,
    ! [X34,X6,X21,X9,X3] :
      ( hAPP(X21,X6) != hAPP(X21,X34)
      | ~ c_Fun_Oinj__on(X21,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
      | X6 = X34 ),
    file('<stdin>',cls_injD_0) ).

fof(c_0_184_185,axiom,
    ! [X6,X15,X3] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X6,X15,X3),c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X15
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    file('<stdin>',cls_Diff__insert__absorb_0) ).

fof(c_0_185_186,axiom,
    ! [X14,X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),c_Set_Oinsert(X14,X16,X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16)
      | hBOOL(hAPP(hAPP(c_in(X3),X14),X15)) ),
    file('<stdin>',cls_Int__insert__right_1) ).

fof(c_0_186_187,axiom,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X6,X15,X3),X16,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X6,c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3)
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X16)) ),
    file('<stdin>',cls_insert__Diff__if_1) ).

fof(c_0_187_188,axiom,
    ! [X6,X10,X11] :
      ( c_Hoare__Mirabelle_Otriple__valid(X11,X6,t_a)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X6),X10))
      | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X11,X10)),X10)) ),
    file('<stdin>',cls_triples__valid__Suc_0) ).

fof(c_0_188_189,axiom,
    ! [X24,X15,X9,X3] :
      ( c_Set_Oimage(c_COMBK(X24,X3,X9),X15,X9,X3) = c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)) ),
    file('<stdin>',cls_image__constant__conv_1) ).

fof(c_0_189_190,axiom,
    ! [X13,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X14),c_Set_Oinsert(X13,X15,X3)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15)) ),
    file('<stdin>',cls_insert__iff_2) ).

fof(c_0_190_191,axiom,
    ! [X13,X14,X16,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X14),c_Set_Oinsert(X13,X16,X3)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X16)) ),
    file('<stdin>',cls_insertCI_0) ).

fof(c_0_191_192,axiom,
    ! [X24,X15,X9,X3] :
      ( c_Set_Ovimage(c_COMBK(X24,X9,X3),X15,X3,X9) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X9),X24),X15)) ),
    file('<stdin>',cls_vimage__const_1) ).

fof(c_0_192_193,axiom,
    ! [X18,X50,X3] :
      ( c_Finite__Set_Ofinite(X50,X3)
      | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X50),X18),X3) ),
    file('<stdin>',cls_finite__Un_0) ).

fof(c_0_193_194,axiom,
    ! [X18,X50,X3] :
      ( c_Finite__Set_Ofinite(X18,X3)
      | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X50),X18),X3) ),
    file('<stdin>',cls_finite__Un_1) ).

fof(c_0_194_195,axiom,
    ! [X36,X16,X15,X3] :
      ( c_HOL_Ominus__class_Ominus(X16,c_HOL_Ominus__class_Ominus(X36,X15,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X15
      | ~ c_lessequals(X16,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_double__diff_0) ).

fof(c_0_195_196,axiom,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_lessequals(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__insert__iff_1) ).

fof(c_0_196_197,axiom,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    file('<stdin>',cls_subset__insert_0) ).

fof(c_0_197_198,axiom,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X16))
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_psubset__insert__iff_6) ).

fof(c_0_198_199,axiom,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(c_Set_Oinsert(X6,X15,X3),X16,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X16)) ),
    file('<stdin>',cls_insert__subset_2) ).

fof(c_0_199_200,axiom,
    ! [X10,X17,X11,X18] :
      ( c_Hoare__Mirabelle_Otriple__valid(X11,X17,t_a)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X17),X10))
      | ~ c_Hoare__Mirabelle_Otriple__valid(X11,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X18,X11),t_a)
      | ~ c_Hoare__Mirabelle_Ohoare__valids(X18,X10,t_a) ),
    file('<stdin>',cls_hoare__valids__def_1) ).

fof(c_0_200_201,axiom,
    ! [X21,X15,X9,X3] :
      ( c_Set_Oimage(X21,X15,X9,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)) ),
    file('<stdin>',cls_image__is__empty_0) ).

fof(c_0_201_202,axiom,
    ! [X21,X15,X9,X3] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Set_Oimage(X21,X15,X9,X3)
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)) ),
    file('<stdin>',cls_empty__is__image_0) ).

fof(c_0_202_203,axiom,
    ! [X15,X3] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(X15,X3)),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(X15,X3)))
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_comm__monoid__add_Ononempty__iff_1) ).

fof(c_0_203_204,axiom,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X6,X15,X3),X16,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X16)) ),
    file('<stdin>',cls_insert__Diff1_0) ).

fof(c_0_204_205,axiom,
    ! [X39,X21,X9] :
      ( ~ class_Lattices_Olattice(X9)
      | hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,X9)),X21),X39),v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X9),hAPP(X21,v_x)),hAPP(X39,v_x)) ),
    file('<stdin>',cls_sup__fun__eq_0) ).

fof(c_0_205_206,axiom,
    ! [X39,X21,X9] :
      ( ~ class_Lattices_Olattice(X9)
      | hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,X9)),X21),X39),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X9),hAPP(X21,v_x)),hAPP(X39,v_x)) ),
    file('<stdin>',cls_inf__fun__eq_0) ).

fof(c_0_206_207,axiom,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),c_HOL_Ominus__class_Ominus(X16,X15,tc_fun(X3,tc_bool))) = X16
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Diff__partition_0) ).

fof(c_0_207_208,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34)),X22) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X22)) ),
    file('<stdin>',cls_sup__assoc_0) ).

fof(c_0_208_209,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34)),X22) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X22)) ),
    file('<stdin>',cls_inf__sup__aci_I6_J_0) ).

fof(c_0_209_210,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34)),X22) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22)) ),
    file('<stdin>',cls_inf__sup__aci_I2_J_0) ).

fof(c_0_210_211,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34)),X22) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22)) ),
    file('<stdin>',cls_inf__assoc_0) ).

fof(c_0_211_212,axiom,
    ! [X34,X6,X15,X3] :
      ( hBOOL(hAPP(X15,X6))
      | X34 = X6
      | ~ hBOOL(hAPP(c_Set_Oinsert(X34,X15,X3),X6)) ),
    file('<stdin>',cls_insert__code_0) ).

fof(c_0_212_213,axiom,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    file('<stdin>',cls_subset__insert__iff_2) ).

fof(c_0_213_214,axiom,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    file('<stdin>',cls_subset__insert_1) ).

fof(c_0_214_215,axiom,
    ! [X14,X35,X36,X3] :
      ( c_lessequals(c_Set_Oinsert(X14,X36,X3),c_Set_Oinsert(X14,X35,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X36,X35,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_insert__mono_0) ).

fof(c_0_215_216,axiom,
    ! [X51,X52,X48] :
      ( c_Finite__Set_Ofinite(X51,t_a)
      | ~ c_Wellfounded_Omax__extp(X48,X52,X51,t_a) ),
    file('<stdin>',cls_max__extp_Ocases_1) ).

fof(c_0_216_217,axiom,
    ! [X51,X52,X48] :
      ( c_Finite__Set_Ofinite(X52,t_a)
      | ~ c_Wellfounded_Omax__extp(X48,X52,X51,t_a) ),
    file('<stdin>',cls_max__extp_Ocases_0) ).

fof(c_0_217_218,axiom,
    ! [X6,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X6),X16))
      | ~ c_lessequals(c_Set_Oinsert(X6,X15,X3),X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_insert__subset_0) ).

fof(c_0_218_219,axiom,
    ! [X20,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X20),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X20),X15))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__iff_0) ).

fof(c_0_219_220,axiom,
    ! [X6,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X6),X16))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    file('<stdin>',cls_set__rev__mp_0) ).

fof(c_0_220_221,axiom,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X15))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subsetD_0) ).

fof(c_0_221_222,axiom,
    ! [X6,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X6),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_set__mp_0) ).

fof(c_0_222_223,axiom,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X15))
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_psubsetD_0) ).

fof(c_0_223_224,axiom,
    ! [X12,X10,X11] :
      ( c_Hoare__Mirabelle_Otriple__valid(X11,X12,t_a)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X12),X10))
      | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X11),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X11,X10),t_a) ),
    file('<stdin>',cls_triples__valid__Suc_1) ).

fof(c_0_224_225,axiom,
    ! [X55,X15,X9,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X9)
      | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,c_COMBK(X55,X9,X3),X3,X9) = X55
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_SUP__const_0) ).

fof(c_0_225_226,axiom,
    ! [X6,X16,X15,X3] :
      ( c_Set_Oinsert(X6,X15,X3) != c_Set_Oinsert(X6,X16,X3)
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X16))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | X15 = X16 ),
    file('<stdin>',cls_insert__ident_0) ).

fof(c_0_226_227,axiom,
    ! [X6,X7,X3] :
      ( ~ hBOOL(hAPP(X7,X6))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
    file('<stdin>',cls_bex__empty_0) ).

fof(c_0_227_228,axiom,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Set_Oinsert(X6,X15,X3),X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_insert__subset_1) ).

fof(c_0_228_229,axiom,
    ! [X6,X7,X3] :
      ( hBOOL(hAPP(X7,X6))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
    file('<stdin>',cls_ball__empty_0) ).

fof(c_0_229_230,axiom,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)) = X15 ),
    file('<stdin>',cls_Diff__triv_0) ).

fof(c_0_230_231,axiom,
    ! [X18,X50,X3] :
      ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X50),X18),X3)
      | ~ c_Finite__Set_Ofinite(X18,X3)
      | ~ c_Finite__Set_Ofinite(X50,X3) ),
    file('<stdin>',cls_finite__Un_2) ).

fof(c_0_231_232,axiom,
    ! [X18,X50,X3] :
      ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X50),X18),X3)
      | ~ c_Finite__Set_Ofinite(X18,X3)
      | ~ c_Finite__Set_Ofinite(X50,X3) ),
    file('<stdin>',cls_finite__UnI_0) ).

fof(c_0_232_233,axiom,
    ! [X6,X10,X18] :
      ( c_Hoare__Mirabelle_Ohoare__valids(X18,X10,t_a)
      | c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(X18,X10),X6,t_a)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X6),X18)) ),
    file('<stdin>',cls_hoare__valids__def_2) ).

fof(c_0_233_234,axiom,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),X13),X6,X3)
      | ~ c_lessequals(X13,X6,X3)
      | ~ c_lessequals(X14,X6,X3) ),
    file('<stdin>',cls_le__supI_0) ).

fof(c_0_234_235,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X22),X6,X3)
      | ~ c_lessequals(X22,X6,X3)
      | ~ c_lessequals(X34,X6,X3) ),
    file('<stdin>',cls_sup__least_0) ).

fof(c_0_235_236,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34),X22,X3)
      | ~ c_lessequals(X34,X22,X3)
      | ~ c_lessequals(X6,X22,X3) ),
    file('<stdin>',cls_le__sup__iff_2) ).

fof(c_0_236_237,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X6,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22),X3)
      | ~ c_lessequals(X6,X22,X3)
      | ~ c_lessequals(X6,X34,X3) ),
    file('<stdin>',cls_inf__greatest_0) ).

fof(c_0_237_238,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X6,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22),X3)
      | ~ c_lessequals(X6,X22,X3)
      | ~ c_lessequals(X6,X34,X3) ),
    file('<stdin>',cls_le__inf__iff_2) ).

fof(c_0_238_239,axiom,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X6,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X14),X13),X3)
      | ~ c_lessequals(X6,X13,X3)
      | ~ c_lessequals(X6,X14,X3) ),
    file('<stdin>',cls_le__infI_0) ).

fof(c_0_239_240,axiom,
    ! [X13,X14,X3] :
      ( c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X14 = X13 ),
    file('<stdin>',cls_singleton__inject_0) ).

fof(c_0_240_241,axiom,
    ! [X33,X24,X13,X14,X3] :
      ( hAPP(hAPP(X33,hAPP(hAPP(X33,X14),X13)),X24) = hAPP(hAPP(X33,X14),hAPP(hAPP(X33,X13),X24))
      | ~ c_OrderedGroup_Oab__semigroup__mult(X33,X3) ),
    file('<stdin>',cls_ab__semigroup__mult_Omult__ac_I1_J_0) ).

fof(c_0_241_242,axiom,
    ! [X18,X50,X3] :
      ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X50),X18),X3)
      | ~ c_Finite__Set_Ofinite(X18,X3) ),
    file('<stdin>',cls_finite__Int_1) ).

fof(c_0_242_243,axiom,
    ! [X18,X50,X3] :
      ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X50),X18),X3)
      | ~ c_Finite__Set_Ofinite(X50,X3) ),
    file('<stdin>',cls_finite__Int_0) ).

fof(c_0_243_244,axiom,
    ! [X36,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,X36,tc_fun(X3,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X16,X36,tc_fun(X3,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_psubset__trans_0) ).

fof(c_0_244_245,axiom,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(X15,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X16,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__trans_0) ).

fof(c_0_245_246,axiom,
    ! [X36,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X16,X36,tc_fun(X3,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_psubset__subset__trans_0) ).

fof(c_0_246_247,axiom,
    ! [X36,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,X36,tc_fun(X3,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X16,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__psubset__trans_0) ).

fof(c_0_247_248,axiom,
    ! [X37,X34,X38,X6,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X6,X34,X3) != c_HOL_Ominus__class_Ominus(X38,X37,X3)
      | c_lessequals(X37,X38,X3)
      | ~ c_lessequals(X34,X6,X3) ),
    file('<stdin>',cls_le__eqI_0) ).

fof(c_0_248_249,axiom,
    ! [X37,X34,X38,X6,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X6,X34,X3) != c_HOL_Ominus__class_Ominus(X38,X37,X3)
      | c_lessequals(X34,X6,X3)
      | ~ c_lessequals(X37,X38,X3) ),
    file('<stdin>',cls_le__eqI_1) ).

fof(c_0_249_250,axiom,
    ! [X37,X34,X38,X6,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X6,X34,X3) != c_HOL_Ominus__class_Ominus(X38,X37,X3)
      | c_HOL_Oord__class_Oless(X38,X37,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X34,X3) ),
    file('<stdin>',cls_less__eqI_0) ).

fof(c_0_250_251,axiom,
    ! [X37,X34,X38,X6,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X6,X34,X3) != c_HOL_Ominus__class_Ominus(X38,X37,X3)
      | c_HOL_Oord__class_Oless(X6,X34,X3)
      | ~ c_HOL_Oord__class_Oless(X38,X37,X3) ),
    file('<stdin>',cls_less__eqI_1) ).

fof(c_0_251_252,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X22)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X22)) ),
    file('<stdin>',cls_sup__left__commute_0) ).

fof(c_0_252_253,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X22)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X22)) ),
    file('<stdin>',cls_inf__sup__aci_I7_J_0) ).

fof(c_0_253_254,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X22)) ),
    file('<stdin>',cls_inf__sup__aci_I3_J_0) ).

fof(c_0_254_255,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X22)) ),
    file('<stdin>',cls_inf__left__commute_0) ).

fof(c_0_255_256,axiom,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X6,X14,X3)
      | ~ c_lessequals(X6,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X14),X13),X3) ),
    file('<stdin>',cls_le__infE_0) ).

fof(c_0_256_257,axiom,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X6,X13,X3)
      | ~ c_lessequals(X6,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X14),X13),X3) ),
    file('<stdin>',cls_le__infE_1) ).

fof(c_0_257_258,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X6,X34,X3)
      | ~ c_lessequals(X6,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22),X3) ),
    file('<stdin>',cls_le__inf__iff_0) ).

fof(c_0_258_259,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X6,X22,X3)
      | ~ c_lessequals(X6,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22),X3) ),
    file('<stdin>',cls_le__inf__iff_1) ).

fof(c_0_259_260,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X34,X22,X3)
      | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34),X22,X3) ),
    file('<stdin>',cls_le__sup__iff_1) ).

fof(c_0_260_261,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X6,X22,X3)
      | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34),X22,X3) ),
    file('<stdin>',cls_le__sup__iff_0) ).

fof(c_0_261_262,axiom,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X13,X6,X3)
      | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),X13),X6,X3) ),
    file('<stdin>',cls_le__supE_1) ).

fof(c_0_262_263,axiom,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X14,X6,X3)
      | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),X13),X6,X3) ),
    file('<stdin>',cls_le__supE_0) ).

fof(c_0_263_264,axiom,
    ! [X13,X16,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X13,X16,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__insertI2_0) ).

fof(c_0_264_265,axiom,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16) != X16
      | c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__Un__eq_1) ).

fof(c_0_265_266,axiom,
    ! [X16,X15,X3] :
      ( c_Finite__Set_Ofinite(X15,X3)
      | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X16,X3) ),
    file('<stdin>',cls_finite__Diff2_0) ).

fof(c_0_266_267,axiom,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X16 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__empty_1) ).

fof(c_0_267_268,axiom,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__empty_0) ).

fof(c_0_268_269,axiom,
    ! [X39,X21,X9,X3] :
      ( ~ class_HOL_Oord(X9)
      | c_HOL_Oord__class_Oless(X21,X39,tc_fun(X3,X9))
      | c_lessequals(X39,X21,tc_fun(X3,X9))
      | ~ c_lessequals(X21,X39,tc_fun(X3,X9)) ),
    file('<stdin>',cls_less__fun__def_2) ).

fof(c_0_269_270,axiom,
    ! [X34,X6,X15,X3] :
      ( hBOOL(hAPP(c_Set_Oinsert(X34,X15,X3),X6))
      | ~ hBOOL(hAPP(X15,X6)) ),
    file('<stdin>',cls_insert__code_2) ).

fof(c_0_270_271,axiom,
    ! [X54,X55,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(c_Finite__Set_Olinorder__class_OMax(X55,X3),c_Finite__Set_Olinorder__class_OMax(X54,X3),X3)
      | ~ c_Finite__Set_Ofinite(X54,X3)
      | X55 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X55,X54,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Max__mono_0) ).

fof(c_0_271_272,axiom,
    ! [X54,X55,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(c_Finite__Set_Olinorder__class_OMin(X54,X3),c_Finite__Set_Olinorder__class_OMin(X55,X3),X3)
      | ~ c_Finite__Set_Ofinite(X54,X3)
      | X55 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X55,X54,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Min__antimono_0) ).

fof(c_0_272_273,axiom,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__1(X15,X16,X3) = c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__2(X15,X16,X3) ),
    file('<stdin>',cls_disjoint__iff__not__equal_3) ).

fof(c_0_273_274,axiom,
    ! [X14,X7,X3] :
      ( hBOOL(hAPP(X7,X14))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),c_Collect(X7,X3))) ),
    file('<stdin>',cls_CollectD_0) ).

fof(c_0_274_275,axiom,
    ! [X6,X15,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(c_Finite__Set_Olinorder__class_OMin(X15,X3),X6,X3)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    file('<stdin>',cls_Min__le_0) ).

fof(c_0_275_276,axiom,
    ! [X6,X15,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X6,c_Finite__Set_Olinorder__class_OMax(X15,X3),X3)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    file('<stdin>',cls_Max__ge_0) ).

fof(c_0_276_277,axiom,
    ! [X16,X15,X9] :
      ( ~ class_HOL_Ominus(X9)
      | hAPP(c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(t_a,X9)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(X15,v_x),hAPP(X16,v_x),X9) ),
    file('<stdin>',cls_fun__diff__def_0) ).

fof(c_0_277_278,axiom,
    ! [X15,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | hBOOL(hAPP(hAPP(c_in(X3),c_Finite__Set_Olinorder__class_OMin(X15,X3)),X15))
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    file('<stdin>',cls_Min__in_0) ).

fof(c_0_278_279,axiom,
    ! [X15,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | hBOOL(hAPP(hAPP(c_in(X3),c_Finite__Set_Olinorder__class_OMax(X15,X3)),X15))
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    file('<stdin>',cls_Max__in_0) ).

fof(c_0_279_280,axiom,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16) = X15
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Int__absorb2_0) ).

fof(c_0_280_281,axiom,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16) = X16
      | ~ c_lessequals(X16,X15,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Int__absorb1_0) ).

fof(c_0_281_282,axiom,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16) = X16
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__absorb1_0) ).

fof(c_0_282_283,axiom,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16) = X15
      | ~ c_lessequals(X16,X15,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__absorb2_0) ).

fof(c_0_283_284,axiom,
    ! [X39,X21,X9,X3] :
      ( ~ class_HOL_Oord(X9)
      | ~ c_lessequals(X39,X21,tc_fun(X3,X9))
      | ~ c_HOL_Oord__class_Oless(X21,X39,tc_fun(X3,X9)) ),
    file('<stdin>',cls_less__fun__def_1) ).

fof(c_0_284_285,axiom,
    ! [X33,X24,X13,X14,X3] :
      ( hAPP(hAPP(X33,X14),hAPP(hAPP(X33,X13),X24)) = hAPP(hAPP(X33,X13),hAPP(hAPP(X33,X14),X24))
      | ~ c_OrderedGroup_Oab__semigroup__mult(X33,X3) ),
    file('<stdin>',cls_ab__semigroup__mult_Omult__left__commute_0) ).

fof(c_0_285_286,axiom,
    ! [X12,X6,X33,X9,X3] :
      ( c_Set_Oinsert(X6,X12,X9) != c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X9),X6),X12))
      | ~ c_OrderedGroup_Oab__semigroup__mult(X33,X3) ),
    file('<stdin>',cls_ab__semigroup__mult_Ononempty__iff_2) ).

fof(c_0_286_287,axiom,
    ! [X6,X15,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_lessequals(X6,c_Complete__Lattice_OSup__class_OSup(X15,X3),X3)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    file('<stdin>',cls_Sup__upper_0) ).

fof(c_0_287_288,axiom,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X14),X13),X6,X3)
      | ~ c_HOL_Oord__class_Oless(X13,X6,X3) ),
    file('<stdin>',cls_less__infI2_0) ).

fof(c_0_288_289,axiom,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X14),X13),X6,X3)
      | ~ c_HOL_Oord__class_Oless(X14,X6,X3) ),
    file('<stdin>',cls_less__infI1_0) ).

fof(c_0_289_290,axiom,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X14),X13),X6,X3)
      | ~ c_lessequals(X14,X6,X3) ),
    file('<stdin>',cls_le__infI1_0) ).

fof(c_0_290_291,axiom,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X14),X13),X6,X3)
      | ~ c_lessequals(X13,X6,X3) ),
    file('<stdin>',cls_le__infI2_0) ).

fof(c_0_291_292,axiom,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_HOL_Oord__class_Oless(X6,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),X13),X3)
      | ~ c_HOL_Oord__class_Oless(X6,X14,X3) ),
    file('<stdin>',cls_less__supI1_0) ).

fof(c_0_292_293,axiom,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_HOL_Oord__class_Oless(X6,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),X13),X3)
      | ~ c_HOL_Oord__class_Oless(X6,X13,X3) ),
    file('<stdin>',cls_less__supI2_0) ).

fof(c_0_293_294,axiom,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X6,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),X13),X3)
      | ~ c_lessequals(X6,X13,X3) ),
    file('<stdin>',cls_le__supI2_0) ).

fof(c_0_294_295,axiom,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X6,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),X13),X3)
      | ~ c_lessequals(X6,X14,X3) ),
    file('<stdin>',cls_le__supI1_0) ).

fof(c_0_295_296,axiom,
    ! [X16,X15,X3] :
      ( X15 = X16
      | ~ c_lessequals(X16,X15,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_equalityI_0) ).

fof(c_0_296_297,axiom,
    ! [X16,X15,X3] :
      ( X15 = X16
      | ~ c_lessequals(X16,X15,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_set__eq__subset_2) ).

fof(c_0_297_298,axiom,
    ! [X6,X39,X21,X9,X3] :
      ( ~ class_HOL_Oord(X9)
      | c_lessequals(hAPP(X21,X6),hAPP(X39,X6),X9)
      | ~ c_lessequals(X21,X39,tc_fun(X3,X9)) ),
    file('<stdin>',cls_le__funD_0) ).

fof(c_0_298_299,axiom,
    ! [X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Set__Xex__in__conv__1__1(X15,X3)),X15))
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_ex__in__conv_1) ).

fof(c_0_299_300,axiom,
    ! [X15,X3] :
      ( X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Set__Xall__not__in__conv__1__1(X15,X3)),X15)) ),
    file('<stdin>',cls_all__not__in__conv_0) ).

fof(c_0_300_301,axiom,
    ! [X15,X3] :
      ( X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Set__Xequals0I__1__1(X15,X3)),X15)) ),
    file('<stdin>',cls_equals0I_0) ).

fof(c_0_301_302,axiom,
    ! [X12,X6,X3] :
      ( c_Set_Oinsert(X6,X12,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X12)) ),
    file('<stdin>',cls_comm__monoid__add_Ononempty__iff_2) ).

fof(c_0_302_303,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X6,X22,X3)
      | ~ c_HOL_Oord__class_Oless(X34,X22,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X34,X3) ),
    file('<stdin>',cls_order__less__trans_0) ).

fof(c_0_303_304,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X22,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X22,X34,X3)
      | ~ c_HOL_Oord__class_Oless(X34,X6,X3) ),
    file('<stdin>',cls_xt1_I10_J_0) ).

fof(c_0_304_305,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X22,X6,X3)
      | ~ c_lessequals(X22,X34,X3)
      | ~ c_lessequals(X34,X6,X3) ),
    file('<stdin>',cls_xt1_I6_J_0) ).

fof(c_0_305_306,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X22,X6,X3)
      | ~ c_lessequals(X22,X34,X3)
      | ~ c_HOL_Oord__class_Oless(X34,X6,X3) ),
    file('<stdin>',cls_xt1_I7_J_0) ).

fof(c_0_306_307,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X22,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X22,X34,X3)
      | ~ c_lessequals(X34,X6,X3) ),
    file('<stdin>',cls_xt1_I8_J_0) ).

fof(c_0_307_308,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X6,X22,X3)
      | ~ c_lessequals(X34,X22,X3)
      | ~ c_lessequals(X6,X34,X3) ),
    file('<stdin>',cls_order__trans_0) ).

fof(c_0_308_309,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X6,X22,X3)
      | ~ c_HOL_Oord__class_Oless(X34,X22,X3)
      | ~ c_lessequals(X6,X34,X3) ),
    file('<stdin>',cls_order__le__less__trans_0) ).

fof(c_0_309_310,axiom,
    ! [X22,X34,X6,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X6,X22,X3)
      | ~ c_lessequals(X34,X22,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X34,X3) ),
    file('<stdin>',cls_order__less__le__trans_0) ).

fof(c_0_310_311,axiom,
    ! [X14,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = X14 ),
    file('<stdin>',cls_Max__singleton_0) ).

fof(c_0_311_312,axiom,
    ! [X14,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = X14 ),
    file('<stdin>',cls_Min__singleton_0) ).

fof(c_0_312_313,axiom,
    ! [X14,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = X14 ),
    file('<stdin>',cls_Sup__singleton_0) ).

fof(c_0_313_314,axiom,
    ! [X15,X3] :
      ( X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__empty_0) ).

fof(c_0_314_315,axiom,
    ! [X10,X53,X18,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X18,X10,X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X18,X53,X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X53,X10,X3) ),
    file('<stdin>',cls_cut_0) ).

fof(c_0_315_316,axiom,
    ! [X14,X15,X3] :
      ( c_Set_Oinsert(X14,X15,X3) = X15
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15)) ),
    file('<stdin>',cls_insert__absorb_0) ).

fof(c_0_316_317,axiom,
    ! [X39,X21,X9,X3] :
      ( ~ class_HOL_Oord(X9)
      | c_lessequals(X21,X39,tc_fun(X3,X9))
      | ~ c_HOL_Oord__class_Oless(X21,X39,tc_fun(X3,X9)) ),
    file('<stdin>',cls_less__fun__def_0) ).

fof(c_0_317_318,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34) ),
    file('<stdin>',cls_sup__left__idem_0) ).

fof(c_0_318_319,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34) ),
    file('<stdin>',cls_inf__sup__aci_I8_J_0) ).

fof(c_0_319_320,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34) ),
    file('<stdin>',cls_inf__sup__aci_I4_J_0) ).

fof(c_0_320_321,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34) ),
    file('<stdin>',cls_inf__left__idem_0) ).

fof(c_0_321_322,axiom,
    ! [X16,X15,X3] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X15,X3)
      | ~ c_Finite__Set_Ofinite(X16,X3) ),
    file('<stdin>',cls_finite__Diff2_1) ).

fof(c_0_322_323,axiom,
    ! [X14,X7,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X14),c_Collect(X7,X3)))
      | ~ hBOOL(hAPP(X7,X14)) ),
    file('<stdin>',cls_CollectI_0) ).

fof(c_0_323_324,axiom,
    ! [X14,X15,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X14,X15,X3),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),c_Complete__Lattice_OSup__class_OSup(X15,X3)) ),
    file('<stdin>',cls_Sup__insert_0) ).

fof(c_0_324_325,axiom,
    ! [X14,X15,X3] :
      ( c_Finite__Set_Ofinite(X15,X3)
      | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X14,X15,X3),X3) ),
    file('<stdin>',cls_finite__insert_0) ).

fof(c_0_325_326,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X6,X34,X3)
      | c_lessequals(X34,X6,X3)
      | ~ c_lessequals(X6,X34,X3) ),
    file('<stdin>',cls_less__le__not__le_2) ).

fof(c_0_326_327,axiom,
    ! [X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool))
      | X15 = X16
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_psubset__eq_2) ).

fof(c_0_327_328,axiom,
    ! [X16,X15,X3] :
      ( X15 = X16
      | c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__iff__psubset__eq_0) ).

fof(c_0_328_329,axiom,
    ! [X6,X46,X7,X3] :
      ( hBOOL(hAPP(X46,X6))
      | ~ hBOOL(hAPP(X7,X6))
      | ~ c_lessequals(X7,X46,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_predicate1D_0) ).

fof(c_0_329_330,axiom,
    ! [X6,X46,X7,X3] :
      ( hBOOL(hAPP(X46,X6))
      | ~ c_lessequals(X7,X46,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(X7,X6)) ),
    file('<stdin>',cls_rev__predicate1D_0) ).

fof(c_0_330_331,axiom,
    ! [X16,X15,X3] :
      ( c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_psubset__eq_0) ).

fof(c_0_331_332,axiom,
    ! [X6,X8,X3] :
      ( hBOOL(hAPP(X8,X6))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X8)) ),
    file('<stdin>',cls_mem__def_0) ).

fof(c_0_332_333,axiom,
    ! [X16,X15,X3] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    file('<stdin>',cls_finite__Diff_0) ).

fof(c_0_333_334,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X6 = X34
      | ~ c_lessequals(X34,X6,X3)
      | ~ c_lessequals(X6,X34,X3) ),
    file('<stdin>',cls_order__eq__iff_2) ).

fof(c_0_334_335,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X6 = X34
      | ~ c_lessequals(X34,X6,X3)
      | ~ c_lessequals(X6,X34,X3) ),
    file('<stdin>',cls_order__antisym_0) ).

fof(c_0_335_336,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X6 = X34
      | ~ c_lessequals(X6,X34,X3)
      | ~ c_lessequals(X34,X6,X3) ),
    file('<stdin>',cls_order__antisym__conv_0) ).

fof(c_0_336_337,axiom,
    ! [X34,X12,X6,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X12,X34,X3) != c_HOL_Ominus__class_Ominus(X6,X6,X3)
      | X12 = X34 ),
    file('<stdin>',cls_eq__eqI_1) ).

fof(c_0_337_338,axiom,
    ! [X37,X38,X6,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X6,X6,X3) != c_HOL_Ominus__class_Ominus(X38,X37,X3)
      | X38 = X37 ),
    file('<stdin>',cls_eq__eqI_0) ).

fof(c_0_338_339,axiom,
    ! [X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_lessequals(X6,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X6,X3) ),
    file('<stdin>',cls_linorder__antisym__conv2_1) ).

fof(c_0_339_340,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X6,X34,X3)
      | ~ c_lessequals(X34,X6,X3) ),
    file('<stdin>',cls_linorder__not__less_1) ).

fof(c_0_340_341,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_lessequals(X6,X34,X3)
      | ~ c_HOL_Oord__class_Oless(X34,X6,X3) ),
    file('<stdin>',cls_linorder__not__le_1) ).

fof(c_0_341_342,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_lessequals(X34,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X34,X3) ),
    file('<stdin>',cls_less__le__not__le_1) ).

fof(c_0_342_343,axiom,
    ! [X13,X14,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_HOL_Oord__class_Oless(X14,X13,X3)
      | ~ c_HOL_Oord__class_Oless(X13,X14,X3) ),
    file('<stdin>',cls_xt1_I9_J_0) ).

fof(c_0_343_344,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X6,X34,X3)
      | ~ c_HOL_Oord__class_Oless(X34,X6,X3) ),
    file('<stdin>',cls_not__less__iff__gr__or__eq_1) ).

fof(c_0_344_345,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X34,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X34,X3) ),
    file('<stdin>',cls_order__less__asym_0) ).

fof(c_0_345_346,axiom,
    ! [X13,X14,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X13,X14,X3)
      | ~ c_HOL_Oord__class_Oless(X14,X13,X3) ),
    file('<stdin>',cls_order__less__asym_H_0) ).

fof(c_0_346_347,axiom,
    ! [X1,X2,X3] :
      ( X2 = X1
      | ~ hBOOL(hAPP(hAPP(c_fequal(X3),X2),X1)) ),
    file('<stdin>',cls_ATP__Linkup_Ofequal__imp__equal_0) ).

fof(c_0_347_348,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X6,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34),X3) ),
    file('<stdin>',cls_sup__ge1_0) ).

fof(c_0_348_349,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X34,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34),X3) ),
    file('<stdin>',cls_sup__ge2_0) ).

fof(c_0_349_350,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X34,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34),X3) ),
    file('<stdin>',cls_inf__sup__ord_I4_J_0) ).

fof(c_0_350_351,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X6,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34),X3) ),
    file('<stdin>',cls_inf__sup__ord_I3_J_0) ).

fof(c_0_351_352,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34),X6,X3) ),
    file('<stdin>',cls_inf__sup__ord_I1_J_0) ).

fof(c_0_352_353,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34),X34,X3) ),
    file('<stdin>',cls_inf__sup__ord_I2_J_0) ).

fof(c_0_353_354,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34),X34,X3) ),
    file('<stdin>',cls_inf__le2_0) ).

fof(c_0_354_355,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34),X6,X3) ),
    file('<stdin>',cls_inf__le1_0) ).

fof(c_0_355_356,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34)) = X6 ),
    file('<stdin>',cls_sup__inf__absorb_0) ).

fof(c_0_356_357,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34)) = X6 ),
    file('<stdin>',cls_inf__sup__absorb_0) ).

fof(c_0_357_358,axiom,
    ! [X16,X15,X3] :
      ( c_Finite__Set_Ofinite(X15,X3)
      | ~ c_Finite__Set_Ofinite(X16,X3)
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_finite__subset_0) ).

fof(c_0_358_359,axiom,
    ! [X16,X15,X3] :
      ( c_Finite__Set_Ofinite(X15,X3)
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X16,X3) ),
    file('<stdin>',cls_rev__finite__subset_0) ).

fof(c_0_359_360,axiom,
    ! [X6,X8,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X6),X8))
      | ~ hBOOL(hAPP(X8,X6)) ),
    file('<stdin>',cls_mem__def_1) ).

fof(c_0_360_361,axiom,
    ! [X20,X11,X3] :
      ( c_Hoare__Mirabelle_Otriple__valid(X11,X20,X3)
      | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X11),X20,X3) ),
    file('<stdin>',cls_triple__valid__Suc_0) ).

fof(c_0_361_362,axiom,
    ! [X13,X14,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X13,X14,X3)
      | X14 = X13
      | ~ c_lessequals(X13,X14,X3) ),
    file('<stdin>',cls_xt1_I11_J_0) ).

fof(c_0_362_363,axiom,
    ! [X13,X14,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X13,X14,X3)
      | ~ c_lessequals(X13,X14,X3)
      | X14 = X13 ),
    file('<stdin>',cls_xt1_I12_J_0) ).

fof(c_0_363_364,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X6 = X34
      | c_HOL_Oord__class_Oless(X6,X34,X3)
      | ~ c_lessequals(X6,X34,X3) ),
    file('<stdin>',cls_order__le__less_0) ).

fof(c_0_364_365,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X6,X34,X3)
      | X6 = X34
      | ~ c_lessequals(X6,X34,X3) ),
    file('<stdin>',cls_order__less__le_2) ).

fof(c_0_365_366,axiom,
    ! [X13,X14,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X14,X13,X3)
      | X14 = X13
      | ~ c_lessequals(X14,X13,X3) ),
    file('<stdin>',cls_order__le__neq__trans_0) ).

fof(c_0_366_367,axiom,
    ! [X13,X14,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X14,X13,X3)
      | ~ c_lessequals(X14,X13,X3)
      | X14 = X13 ),
    file('<stdin>',cls_order__neq__le__trans_0) ).

fof(c_0_367_368,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X6 = X34
      | ~ c_lessequals(X6,X34,X3)
      | c_HOL_Oord__class_Oless(X6,X34,X3) ),
    file('<stdin>',cls_linorder__antisym__conv1_0) ).

fof(c_0_368_369,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X6 = X34
      | c_HOL_Oord__class_Oless(X6,X34,X3)
      | ~ c_lessequals(X6,X34,X3) ),
    file('<stdin>',cls_linorder__antisym__conv2_0) ).

fof(c_0_369_370,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X6,X34,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X34,X3) ),
    file('<stdin>',cls_order__le__less_1) ).

fof(c_0_370_371,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X6,X34,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X34,X3) ),
    file('<stdin>',cls_order__less__imp__le_0) ).

fof(c_0_371_372,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34) = X6
      | ~ c_lessequals(X6,X34,X3) ),
    file('<stdin>',cls_le__iff__inf_0) ).

fof(c_0_372_373,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34) = X34
      | ~ c_lessequals(X34,X6,X3) ),
    file('<stdin>',cls_inf__absorb2_0) ).

fof(c_0_373_374,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34) = X6
      | ~ c_lessequals(X34,X6,X3) ),
    file('<stdin>',cls_sup__absorb1_0) ).

fof(c_0_374_375,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34) = X34
      | ~ c_lessequals(X6,X34,X3) ),
    file('<stdin>',cls_le__iff__sup_0) ).

fof(c_0_375_376,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34) != X6
      | c_lessequals(X6,X34,X3) ),
    file('<stdin>',cls_le__iff__inf_1) ).

fof(c_0_376_377,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34) != X34
      | c_lessequals(X6,X34,X3) ),
    file('<stdin>',cls_le__iff__sup_1) ).

fof(c_0_377_378,axiom,
    ! [X14,X15,X3] :
      ( c_Finite__Set_Ofinite(c_Set_Oinsert(X14,X15,X3),X3)
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    file('<stdin>',cls_finite__insert_1) ).

fof(c_0_378_379,axiom,
    ! [X15,X3] :
      ( X15 = c_Set_Oinsert(c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(X15,X3),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(X15,X3),X3)
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_comm__monoid__add_Ononempty__iff_0) ).

fof(c_0_379_380,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X34,X6,X3)
      | c_HOL_Oord__class_Oless(X6,X34,X3)
      | X6 = X34 ),
    file('<stdin>',cls_linorder__neqE__ordered__idom_0) ).

fof(c_0_380_381,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X6 = X34
      | c_HOL_Oord__class_Oless(X34,X6,X3)
      | c_HOL_Oord__class_Oless(X6,X34,X3) ),
    file('<stdin>',cls_not__less__iff__gr__or__eq_0) ).

fof(c_0_381_382,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X34,X6,X3)
      | c_HOL_Oord__class_Oless(X6,X34,X3)
      | X6 = X34 ),
    file('<stdin>',cls_linorder__neqE_0) ).

fof(c_0_382_383,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X34,X6,X3)
      | X6 = X34
      | c_HOL_Oord__class_Oless(X6,X34,X3) ),
    file('<stdin>',cls_linorder__less__linear_0) ).

fof(c_0_383_384,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X6 = X34
      | c_HOL_Oord__class_Oless(X6,X34,X3)
      | c_HOL_Oord__class_Oless(X34,X6,X3) ),
    file('<stdin>',cls_linorder__antisym__conv3_0) ).

fof(c_0_384_385,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X6,X34,X3)
      | c_lessequals(X34,X6,X3) ),
    file('<stdin>',cls_not__leE_0) ).

fof(c_0_385_386,axiom,
    ! [X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X6,X6,X3)
      | c_lessequals(X6,X6,X3) ),
    file('<stdin>',cls_linorder__antisym__conv1_1) ).

fof(c_0_386_387,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X34,X6,X3)
      | c_HOL_Oord__class_Oless(X6,X34,X3) ),
    file('<stdin>',cls_linorder__not__less_0) ).

fof(c_0_387_388,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X34,X6,X3)
      | c_lessequals(X6,X34,X3) ),
    file('<stdin>',cls_linorder__not__le_0) ).

fof(c_0_388_389,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X34,X6,X3)
      | c_lessequals(X6,X34,X3) ),
    file('<stdin>',cls_linorder__linear_0) ).

fof(c_0_389_390,axiom,
    ! [X6,X7,X3] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Collect(X7,X3)
      | ~ hBOOL(hAPP(X7,X6)) ),
    file('<stdin>',cls_empty__Collect__eq_0) ).

fof(c_0_390_391,axiom,
    ! [X6,X7,X3] :
      ( c_Collect(X7,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(X7,X6)) ),
    file('<stdin>',cls_Collect__empty__eq_0) ).

fof(c_0_391_392,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X6) ),
    file('<stdin>',cls_inf__commute_0) ).

fof(c_0_392_393,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X6) ),
    file('<stdin>',cls_inf__sup__aci_I1_J_0) ).

fof(c_0_393_394,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X6) ),
    file('<stdin>',cls_sup__commute_0) ).

fof(c_0_394_395,axiom,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X6) ),
    file('<stdin>',cls_inf__sup__aci_I5_J_0) ).

fof(c_0_395_396,axiom,
    ! [X33,X13,X14,X3] :
      ( hAPP(hAPP(X33,X14),X13) = hAPP(hAPP(X33,X13),X14)
      | ~ c_OrderedGroup_Oab__semigroup__mult(X33,X3) ),
    file('<stdin>',cls_ab__semigroup__mult_Omult__commute_0) ).

fof(c_0_396_397,axiom,
    ! [X16,X15,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X15),X16) != c_Orderings_Otop__class_Otop(X3)
      | X16 = c_Orderings_Otop__class_Otop(X3) ),
    file('<stdin>',cls_inf__eq__top__eq2_0) ).

fof(c_0_397_398,axiom,
    ! [X16,X15,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X15),X16) != c_Orderings_Otop__class_Otop(X3)
      | X15 = c_Orderings_Otop__class_Otop(X3) ),
    file('<stdin>',cls_inf__eq__top__eq1_0) ).

fof(c_0_398_399,axiom,
    ! [X16,X15,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X15),X16) != c_Orderings_Obot__class_Obot(X3)
      | X15 = c_Orderings_Obot__class_Obot(X3) ),
    file('<stdin>',cls_sup__eq__bot__eq1_0) ).

fof(c_0_399_400,axiom,
    ! [X16,X15,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X15),X16) != c_Orderings_Obot__class_Obot(X3)
      | X16 = c_Orderings_Obot__class_Obot(X3) ),
    file('<stdin>',cls_sup__eq__bot__eq2_0) ).

fof(c_0_400_401,axiom,
    ! [X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_HOL_Oord__class_Oless(X6,X6,X3) ),
    file('<stdin>',cls_order__less__le_1) ).

fof(c_0_401_402,axiom,
    ! [X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X6,X6,X3) ),
    file('<stdin>',cls_linorder__neq__iff_1) ).

fof(c_0_402_403,axiom,
    ! [X6,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X6,X6,X3) ),
    file('<stdin>',cls_order__less__irrefl_0) ).

fof(c_0_403_404,axiom,
    ! [X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3) = c_Orderings_Otop__class_Otop(X3) ),
    file('<stdin>',cls_Sup__UNIV_0) ).

fof(c_0_404_405,axiom,
    ! [X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) = c_Orderings_Obot__class_Obot(X3) ),
    file('<stdin>',cls_Sup__empty_0) ).

fof(c_0_405_406,axiom,
    ! [X6,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),c_Orderings_Otop__class_Otop(X3)),X6) = c_Orderings_Otop__class_Otop(X3) ),
    file('<stdin>',cls_sup__top__left_0) ).

fof(c_0_406_407,axiom,
    ! [X9] :
      ( ~ class_Orderings_Otop(X9)
      | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X9)),v_x) = c_Orderings_Otop__class_Otop(X9) ),
    file('<stdin>',cls_top__fun__eq_0) ).

fof(c_0_407_408,axiom,
    ! [X6,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),c_Orderings_Obot__class_Obot(X3)),X6) = c_Orderings_Obot__class_Obot(X3) ),
    file('<stdin>',cls_inf__bot__left_0) ).

fof(c_0_408_409,axiom,
    ! [X9] :
      ( ~ class_Orderings_Obot(X9)
      | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X9)),v_x) = c_Orderings_Obot__class_Obot(X9) ),
    file('<stdin>',cls_bot__fun__eq_0) ).

fof(c_0_409_410,axiom,
    ! [X3] :
      ( ~ class_Finite__Set_Ofinite_Ofinite(X3)
      | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3) ),
    file('<stdin>',cls_finite__UNIV_0) ).

fof(c_0_410_411,axiom,
    ! [X6,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),c_Orderings_Otop__class_Otop(X3)),X6) = X6 ),
    file('<stdin>',cls_inf__top__left_0) ).

fof(c_0_411_412,axiom,
    ! [X6,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),c_Orderings_Obot__class_Obot(X3)),X6) = X6 ),
    file('<stdin>',cls_sup__bot__left_0) ).

fof(c_0_412_413,axiom,
    ! [X6,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),c_Orderings_Otop__class_Otop(X3)) = c_Orderings_Otop__class_Otop(X3) ),
    file('<stdin>',cls_sup__top__right_0) ).

fof(c_0_413_414,axiom,
    ! [X6,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),c_Orderings_Obot__class_Obot(X3)) = c_Orderings_Obot__class_Obot(X3) ),
    file('<stdin>',cls_inf__bot__right_0) ).

fof(c_0_414_415,axiom,
    ! [X6,X3] :
      ( ~ class_Orderings_Otop(X3)
      | c_lessequals(X6,c_Orderings_Otop__class_Otop(X3),X3) ),
    file('<stdin>',cls_top__greatest_0) ).

fof(c_0_415_416,axiom,
    ! [X6,X3] :
      ( ~ class_Orderings_Obot(X3)
      | c_lessequals(c_Orderings_Obot__class_Obot(X3),X6,X3) ),
    file('<stdin>',cls_bot__least_0) ).

fof(c_0_416_417,axiom,
    ! [X6,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),c_Orderings_Otop__class_Otop(X3)) = X6 ),
    file('<stdin>',cls_inf__top__right_0) ).

fof(c_0_417_418,axiom,
    ! [X6,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),c_Orderings_Obot__class_Obot(X3)) = X6 ),
    file('<stdin>',cls_sup__bot__right_0) ).

fof(c_0_418_419,axiom,
    ! [X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X6,X6,X3) ),
    file('<stdin>',cls_order__eq__iff_0) ).

fof(c_0_419_420,axiom,
    ! [X6,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X6,X6,X3) ),
    file('<stdin>',cls_order__eq__refl_0) ).

fof(c_0_420_421,axiom,
    ! [X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X6) = X6 ),
    file('<stdin>',cls_sup__idem_0) ).

fof(c_0_421_422,axiom,
    ! [X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X6) = X6 ),
    file('<stdin>',cls_inf__idem_0) ).

fof(c_0_422_423,axiom,
    ! [X5,X4] :
      ( class_Finite__Set_Ofinite_Ofinite(tc_fun(X5,X4))
      | ~ class_Finite__Set_Ofinite_Ofinite(X4)
      | ~ class_Finite__Set_Ofinite_Ofinite(X5) ),
    file('<stdin>',clsarity_fun__Finite__Set_Ofinite_Ofinite) ).

fof(c_0_423_424,axiom,
    ! [X5,X4] :
      ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X5,X4))
      | ~ class_Complete__Lattice_Ocomplete__lattice(X4) ),
    file('<stdin>',clsarity_fun__Complete__Lattice_Ocomplete__lattice) ).

fof(c_0_424_425,axiom,
    ! [X5,X4] :
      ( class_Lattices_Oupper__semilattice(tc_fun(X5,X4))
      | ~ class_Lattices_Olattice(X4) ),
    file('<stdin>',clsarity_fun__Lattices_Oupper__semilattice) ).

fof(c_0_425_426,axiom,
    ! [X5,X4] :
      ( class_Lattices_Olower__semilattice(tc_fun(X5,X4))
      | ~ class_Lattices_Olattice(X4) ),
    file('<stdin>',clsarity_fun__Lattices_Olower__semilattice) ).

fof(c_0_426_427,axiom,
    ! [X5,X4] :
      ( class_Lattices_Odistrib__lattice(tc_fun(X5,X4))
      | ~ class_Lattices_Odistrib__lattice(X4) ),
    file('<stdin>',clsarity_fun__Lattices_Odistrib__lattice) ).

fof(c_0_427_428,axiom,
    ! [X5,X4] :
      ( class_Lattices_Obounded__lattice(tc_fun(X5,X4))
      | ~ class_Lattices_Obounded__lattice(X4) ),
    file('<stdin>',clsarity_fun__Lattices_Obounded__lattice) ).

fof(c_0_428_429,axiom,
    ! [X5,X4] :
      ( class_Orderings_Opreorder(tc_fun(X5,X4))
      | ~ class_Orderings_Opreorder(X4) ),
    file('<stdin>',clsarity_fun__Orderings_Opreorder) ).

fof(c_0_429_430,axiom,
    ! [X5,X4] :
      ( class_Lattices_Olattice(tc_fun(X5,X4))
      | ~ class_Lattices_Olattice(X4) ),
    file('<stdin>',clsarity_fun__Lattices_Olattice) ).

fof(c_0_430_431,axiom,
    ! [X5,X4] :
      ( class_Orderings_Oorder(tc_fun(X5,X4))
      | ~ class_Orderings_Oorder(X4) ),
    file('<stdin>',clsarity_fun__Orderings_Oorder) ).

fof(c_0_431_432,axiom,
    ! [X5,X4] :
      ( class_Orderings_Otop(tc_fun(X5,X4))
      | ~ class_Orderings_Otop(X4) ),
    file('<stdin>',clsarity_fun__Orderings_Otop) ).

fof(c_0_432_433,axiom,
    ! [X5,X4] :
      ( class_Orderings_Obot(tc_fun(X5,X4))
      | ~ class_Orderings_Obot(X4) ),
    file('<stdin>',clsarity_fun__Orderings_Obot) ).

fof(c_0_433_434,axiom,
    ! [X5,X4] :
      ( class_HOL_Ominus(tc_fun(X5,X4))
      | ~ class_HOL_Ominus(X4) ),
    file('<stdin>',clsarity_fun__HOL_Ominus) ).

fof(c_0_434_435,axiom,
    ! [X5,X4] :
      ( class_HOL_Oord(tc_fun(X5,X4))
      | ~ class_HOL_Oord(X4) ),
    file('<stdin>',clsarity_fun__HOL_Oord) ).

fof(c_0_435_436,axiom,
    ! [X15,X3] :
      ( ~ class_Finite__Set_Ofinite_Ofinite(X3)
      | c_Finite__Set_Ofinite(X15,X3) ),
    file('<stdin>',cls_finite_0) ).

fof(c_0_436_437,axiom,
    ! [X4] :
      ( class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(X4))
      | ~ class_Finite__Set_Ofinite_Ofinite(X4) ),
    file('<stdin>',clsarity_Option__Ooption__Finite__Set_Ofinite_Ofinite) ).

fof(c_0_437_438,axiom,
    ! [X34,X6] :
      ( c_Suc(X6) != c_Suc(X34)
      | X6 = X34 ),
    file('<stdin>',cls_Suc__inject_0) ).

fof(c_0_438_439,axiom,
    ! [X57,X58] :
      ( c_Suc(X58) != c_Suc(X57)
      | X58 = X57 ),
    file('<stdin>',cls_nat_Oinject_0) ).

fof(c_0_439_440,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32,X3] :
      ( c_Complete__Lattice_Ocomplete__lattice(X31,X32,c_COMBC(X27,X3,X3,tc_bool),c_COMBC(X28,X3,X3,tc_bool),X26,X29,X25,X30,X3)
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_440_441,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32,X16,X15,X3] :
      ( hAPP(hAPP(X26,X16),hAPP(X31,X15)) = c_Finite__Set_Ofold(X26,X16,X15,X3,X3)
      | ~ c_Finite__Set_Ofinite(X15,X3)
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_441_442,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32,X16,X15,X3] :
      ( hAPP(hAPP(X29,X16),hAPP(X32,X15)) = c_Finite__Set_Ofold(X29,X16,X15,X3,X3)
      | ~ c_Finite__Set_Ofinite(X15,X3)
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_442_443,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32,X15,X3] :
      ( hAPP(X31,X15) = c_Finite__Set_Ofold(X26,X30,X15,X3,X3)
      | ~ c_Finite__Set_Ofinite(X15,X3)
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_443_444,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32,X15,X3] :
      ( hAPP(X32,X15) = c_Finite__Set_Ofold(X29,X25,X15,X3,X3)
      | ~ c_Finite__Set_Ofinite(X15,X3)
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_444_445,plain,
    ! [X25,X26,X27,X28,X29,X30,X13,X14,X31,X32,X3] :
      ( hAPP(X31,c_Set_Oinsert(X14,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)) = hAPP(hAPP(X26,X14),X13)
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_445_446,plain,
    ! [X25,X26,X27,X28,X29,X30,X13,X14,X31,X32,X3] :
      ( hAPP(X32,c_Set_Oinsert(X14,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)) = hAPP(hAPP(X29,X14),X13)
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_446_447,plain,
    ! [X6,X25,X26,X27,X28,X29,X30,X31,X32,X15,X3] :
      ( hBOOL(hAPP(hAPP(X27,hAPP(X32,X15)),X6))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_447_448,plain,
    ! [X6,X25,X26,X27,X28,X29,X30,X31,X32,X15,X3] :
      ( hBOOL(hAPP(hAPP(X27,X6),hAPP(X31,X15)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_448_449,plain,
    ! [X25,X26,X27,X28,X29,X30,X14,X31,X32,X3] :
      ( hAPP(X31,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) = X14
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_449_450,plain,
    ! [X25,X26,X27,X28,X29,X30,X14,X31,X32,X3] :
      ( hAPP(X32,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) = X14
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_450_451,plain,
    ! [X25,X26,X27,X28,X29,X30,X14,X31,X32,X15,X3] :
      ( hAPP(X31,c_Set_Oinsert(X14,X15,X3)) = hAPP(hAPP(X26,X14),hAPP(X31,X15))
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_451_452,plain,
    ! [X25,X26,X27,X28,X29,X30,X14,X31,X32,X15,X3] :
      ( hAPP(X32,c_Set_Oinsert(X14,X15,X3)) = hAPP(hAPP(X29,X14),hAPP(X32,X15))
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_452_453,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32,X3] :
      ( hAPP(X31,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))) = X25
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_453_454,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32,X3] :
      ( hAPP(X32,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))) = X30
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_454_455,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32,X3] :
      ( hAPP(X32,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))) = X25
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_455_456,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32,X3] :
      ( hAPP(X31,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))) = X30
      | ~ c_Complete__Lattice_Ocomplete__lattice(X32,X31,X27,X28,X29,X26,X30,X25,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_456_457,plain,
    ! [X22,X33,X39,X14,X15,X9,X3] :
      ( c_Finite__Set_Ofold__image(X33,X39,X22,c_Set_Oinsert(X14,X15,X9),X3,X9) = hAPP(hAPP(X33,hAPP(X39,X14)),c_Finite__Set_Ofold__image(X33,X39,X22,X15,X3,X9))
      | hBOOL(hAPP(hAPP(c_in(X9),X14),X15))
      | ~ c_Finite__Set_Ofinite(X15,X9)
      | ~ c_OrderedGroup_Oab__semigroup__mult(X33,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_457_458,plain,
    ! [X6,X33,X13,X14,X15,X3] :
      ( c_Finite__Set_Ofold__graph(X33,X14,c_Set_Oinsert(X13,c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),X6,X3,X3)
      | hBOOL(hAPP(hAPP(c_in(X3),X13),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15))
      | ~ c_Finite__Set_Ofold__graph(X33,X13,X15,X6,X3,X3)
      | ~ c_OrderedGroup_Oab__semigroup__mult(X33,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_458_459,plain,
    ! [X22,X34,X6,X21,X15,X9,X3] :
      ( c_Finite__Set_Ofold__graph(X21,X22,X15,hAPP(hAPP(X21,X6),X34),X3,X9)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_Finite__Set_Ofold__graph(X21,X22,c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X34,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_459_460,plain,
    ! [X22,X34,X6,X21,X15,X9,X3] :
      ( c_Nitpick_Ofold__graph_H(X21,X22,X15,hAPP(hAPP(X21,X6),X34),X3,X9)
      | ~ c_Nitpick_Ofold__graph_H(X21,X22,c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X34,X3,X9)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_460_461,plain,
    ! [X22,X34,X33,X13,X15,X3] :
      ( c_Finite__Set_Ofold__graph(X33,X22,c_Set_Oinsert(X13,X15,X3),hAPP(hAPP(X33,X22),X34),X3,X3)
      | hBOOL(hAPP(hAPP(c_in(X3),X13),X15))
      | ~ c_Finite__Set_Ofold__graph(X33,X13,X15,X34,X3,X3)
      | ~ c_OrderedGroup_Oab__semigroup__mult(X33,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_461_462,plain,
    ! [X22,X34,X6,X21,X15,X9,X3] :
      ( c_Finite__Set_Ofold__graph(X21,X22,c_Set_Oinsert(X6,X15,X3),hAPP(hAPP(X21,X6),X34),X3,X9)
      | ~ c_Finite__Set_Ofold__graph(X21,X22,X15,X34,X3,X9)
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_462_463,plain,
    ! [X22,X33,X56,X39,X15,X44,X9,X3] :
      ( c_Finite__Set_Ofold__image(X33,X39,X22,c_Set_Oimage(X56,X15,X9,X44),X3,X44) = c_Finite__Set_Ofold__image(X33,c_Fun_Ocomp(X39,X56,X44,X3,X9),X22,X15,X3,X9)
      | ~ c_Fun_Oinj__on(X56,X15,X9,X44)
      | ~ c_Finite__Set_Ofinite(X15,X9)
      | ~ c_OrderedGroup_Oab__semigroup__mult(X33,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_463_464,plain,
    ! [X6,X21,X14,X15,X3] :
      ( c_Finite__Set_Ofold1Set(X21,c_Set_Oinsert(X14,X15,X3),X6,X3)
      | hBOOL(hAPP(hAPP(c_in(X3),X14),X15))
      | ~ c_Finite__Set_Ofold__graph(X21,X14,X15,X6,X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_464_465,plain,
    ! [X22,X6,X21,X9,X3] :
      ( X6 = X22
      | ~ c_Finite__Set_Ofold__graph(X21,X22,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X6,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_465_466,plain,
    ! [X22,X6,X21,X15,X9,X3] :
      ( c_Finite__Set_Ofinite(X15,X3)
      | ~ c_Finite__Set_Ofold__graph(X21,X22,X15,X6,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_466_467,plain,
    ! [X21,X14,X15,X9,X3] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X9),hAPP(X21,X14)),c_Set_Oimage(X21,c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X9)))
      | ~ c_Fun_Oinj__on(X21,c_Set_Oinsert(X14,X15,X3),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_467_468,plain,
    ! [X21,X16,X15,X9,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X9,tc_bool)),c_Set_Oimage(X21,c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3,X9)),c_Set_Oimage(X21,c_HOL_Ominus__class_Ominus(X16,X15,tc_fun(X3,tc_bool)),X3,X9)) != c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X21,X16,X3,X9)
      | ~ c_Fun_Oinj__on(X21,X15,X3,X9)
      | c_Fun_Oinj__on(X21,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_468_469,axiom,
    ! [X38,X6,X40,X39,X41,X21,X42,X43,X44,X9,X3] :
      ( hAPP(X21,hAPP(X39,X6)) != hAPP(X41,hAPP(X40,X38))
      | hAPP(c_Fun_Ocomp(X21,X39,X9,X3,X44),X6) = hAPP(c_Fun_Ocomp(X41,X40,X43,X3,X42),X38) ),
    c_0_29 ).

fof(c_0_469_470,plain,
    ! [X39,X21,X15,X44,X9,X3] :
      ( c_Fun_Oinj__on(X39,c_Set_Oimage(X21,X15,X3,X44),X44,X9)
      | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X39,X21,X44,X9,X3),X15,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_470_471,plain,
    ! [X21,X14,X15,X9,X3] :
      ( c_Fun_Oinj__on(X21,c_Set_Oinsert(X14,X15,X3),X3,X9)
      | hBOOL(hAPP(hAPP(c_in(X9),hAPP(X21,X14)),c_Set_Oimage(X21,c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X9)))
      | ~ c_Fun_Oinj__on(X21,X15,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_471_472,plain,
    ! [X39,X21,X15,X44,X9,X3] :
      ( c_Fun_Oinj__on(c_Fun_Ocomp(X39,X21,X9,X44,X3),X15,X3,X44)
      | ~ c_Fun_Oinj__on(X39,c_Set_Oimage(X21,X15,X3,X9),X9,X44)
      | ~ c_Fun_Oinj__on(X21,X15,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_472_473,axiom,
    ! [X45,X23,X24,X13,X14,X43,X44,X9,X3] :
      ( c_Fun_Ocomp(X14,X13,X44,X9,X3) != c_Fun_Ocomp(X24,X23,X43,X9,X3)
      | hAPP(X14,hAPP(X13,X45)) = hAPP(X24,hAPP(X23,X45)) ),
    c_0_33 ).

fof(c_0_473_474,axiom,
    ! [X45,X24,X13,X14,X44,X9,X3] :
      ( c_Fun_Ocomp(X14,X13,X44,X9,X3) != c_Fun_Ocomp(c_Fun_Oid(X9),X24,X9,X9,X3)
      | hAPP(X14,hAPP(X13,X45)) = hAPP(X24,X45) ),
    c_0_34 ).

fof(c_0_474_475,plain,
    ! [X13,X14,X15,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X3),X13,c_Set_Oinsert(X14,X15,X3),X3,X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X14),c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X3),X13,X15,X3,X3))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_475_476,plain,
    ! [X13,X14,X15,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X3),X13,c_Set_Oinsert(X14,X15,X3),X3,X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X3),X13,X15,X3,X3))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_476_477,plain,
    ! [X8,X48,X3] :
      ( c_lessequals(X48,X8,tc_fun(X3,tc_bool))
      | ~ c_lessequals(hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X48),hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X8),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_477_478,plain,
    ! [X21,X16,X15,X9,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X9,tc_bool)),c_Set_Oimage(X21,c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3,X9)),c_Set_Oimage(X21,c_HOL_Ominus__class_Ominus(X16,X15,tc_fun(X3,tc_bool)),X3,X9)) = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X21,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_478_479,plain,
    ! [X21,X13,X14,X9,X3] :
      ( hAPP(X21,X14) = X13
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),c_Set_Ovimage(X21,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9),X3,X9))) ),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_479_480,plain,
    ! [X21,X36,X16,X15,X9,X3] :
      ( c_Set_Oimage(X21,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),X3,X9) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X9,tc_bool)),c_Set_Oimage(X21,X15,X3,X9)),c_Set_Oimage(X21,X16,X3,X9))
      | ~ c_lessequals(X16,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X36,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X21,X36,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_480_481,plain,
    ! [X13,X14,X15,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),X13),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X3),X13,X15,X3,X3),X3)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_481_482,plain,
    ! [X13,X14,X15,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X3),X13,X15,X3,X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X14),X13),X3)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_482_483,plain,
    ! [X21,X16,X15,X9,X3] :
      ( c_Set_Oimage(X21,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),X3,X9) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X9,tc_bool)),c_Set_Oimage(X21,X15,X3,X9)),c_Set_Oimage(X21,X16,X3,X9))
      | ~ c_Fun_Oinj__on(X21,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_483_484,plain,
    ! [X39,X21,X14,X15,X9,X3] :
      ( hAPP(c_Fun_Ooverride__on(X21,X39,X15,X3,X9),X14) = hAPP(X39,X14)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_484_485,axiom,
    ! [X39,X21,X14,X15,X9,X3] :
      ( hAPP(c_Fun_Ooverride__on(X21,X39,X15,X3,X9),X14) = hAPP(X21,X14)
      | hBOOL(hAPP(hAPP(c_in(X3),X14),X15)) ),
    c_0_45 ).

fof(c_0_485_486,plain,
    ! [X21,X14,X15,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X14),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X9),hAPP(X21,X14)),c_Set_Oimage(X21,X15,X3,X9)))
      | ~ c_Fun_Oinj__on(X21,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_486_487,plain,
    ! [X8,X48,X3] :
      ( c_lessequals(hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X48),hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X8),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X48,X8,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_487_488,axiom,
    ! [X16,X15,X9,X3] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X9,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X9),c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1(X15,X16,X9,X3)),X15)) ),
    c_0_48 ).

fof(c_0_488_489,axiom,
    ! [X16,X15,X9,X3] :
      ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X9,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X9),c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1(X15,X16,X9,X3)),X15)) ),
    c_0_49 ).

fof(c_0_489_490,plain,
    ! [X21,X16,X15,X9,X3] :
      ( c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Set_Oimage(X21,X15,X3,X9),c_Set_Oimage(X21,X16,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X21,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_490_491,plain,
    ! [X21,X36,X16,X15,X9,X3] :
      ( c_Set_Oimage(X21,c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3,X9) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X21,X15,X3,X9),c_Set_Oimage(X21,X16,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_lessequals(X16,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X36,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X21,X36,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_491_492,plain,
    ! [X21,X16,X15,X9,X3] :
      ( c_lessequals(c_Set_Ovimage(X21,X16,X3,X9),X15,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X16,c_Set_Oimage(X21,X15,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X21,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_492_493,plain,
    ! [X21,X16,X15,X9,X3] :
      ( c_Set_Oimage(X21,c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3,X9) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X21,X15,X3,X9),c_Set_Oimage(X21,X16,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X21,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_493_494,plain,
    ! [X21,X14,X16,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X9),hAPP(X21,X14)),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),c_Set_Ovimage(X21,X16,X3,X9))) ),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_494_495,plain,
    ! [X21,X14,X15,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X9),hAPP(X21,X14)),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),c_Set_Ovimage(X21,X15,X3,X9))) ),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_495_496,axiom,
    ! [X36,X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16)),X36) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X16),X36))
      | c_lessequals(X36,X15,tc_fun(X3,tc_bool)) ),
    c_0_56 ).

fof(c_0_496_497,plain,
    ! [X21,X14,X15,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X9),hAPP(X21,X14)),c_Set_Oimage(X21,X15,X3,X9)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15))
      | ~ c_Fun_Oinj__on(X21,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_497_498,axiom,
    ! [X8,X48,X3] :
      ( hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X48) != hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X8)
      | X48 = X8 ),
    c_0_58 ).

fof(c_0_498_499,plain,
    ! [X6,X21,X15,X9,X3] :
      ( hBOOL(hAPP(X15,hAPP(X21,X6)))
      | ~ hBOOL(hAPP(c_Set_Ovimage(X21,X15,X3,X9),X6)) ),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_499_500,plain,
    ! [X21,X16,X15,X9,X3] :
      ( c_lessequals(c_Set_Oimage(X21,X15,X3,X9),c_Set_Oimage(X21,X16,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X21,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_500_501,plain,
    ! [X21,X16,X15,X9,X3] :
      ( c_Set_Oimage(X21,X15,X3,X9) != c_Set_Oimage(X21,X16,X3,X9)
      | ~ c_Fun_Oinj__on(X21,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X3,X9)
      | X15 = X16 ),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_501_502,plain,
    ! [X6,X13,X16,X15,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X13),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X9,tc_fun(X3,tc_bool))))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X13),hAPP(X16,X6)))
      | ~ hBOOL(hAPP(hAPP(c_in(X9),X6),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_502_503,plain,
    ! [X13,X14,X16,X15,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X9),X13),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X3,tc_fun(X9,tc_bool))))
      | ~ hBOOL(hAPP(hAPP(c_in(X9),X13),hAPP(X16,X14)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_503_504,plain,
    ! [X21,X15,X3] :
      ( c_Set_Oimage(X21,X15,X3,X3) = X15
      | ~ c_Fun_Oinj__on(X21,X15,X3,X3)
      | ~ c_lessequals(c_Set_Oimage(X21,X15,X3,X3),X15,tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_504_505,plain,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X16,tc_fun(X3,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_505_506,plain,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X16,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X16)) ),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_506_507,plain,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X16,tc_fun(X3,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_507_508,plain,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X16,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X16)) ),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_508_509,plain,
    ! [X21,X14,X16,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X14),c_Set_Ovimage(X21,X16,X3,X9)))
      | ~ hBOOL(hAPP(hAPP(c_in(X9),hAPP(X21,X14)),X16)) ),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_509_510,plain,
    ! [X21,X14,X15,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X9),X14),c_Set_Ovimage(X21,X15,X9,X3)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),hAPP(X21,X14)),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_510_511,plain,
    ! [X21,X14,X16,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X9),X14),c_Set_Ovimage(X21,X16,X9,X3)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),hAPP(X21,X14)),X16)) ),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_511_512,plain,
    ! [X6,X13,X16,X15,X9,X3] :
      ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X3,tc_fun(X9,tc_bool)),X13))
      | ~ hBOOL(hAPP(hAPP(X16,X6),X13))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_512_513,plain,
    ! [X13,X14,X16,X15,X9,X3] :
      ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X3,tc_fun(X9,tc_bool)),X13))
      | ~ hBOOL(hAPP(hAPP(X16,X14),X13))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_513_514,plain,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_514_515,plain,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_515_516,plain,
    ! [X6,X21,X15,X47,X3] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X47),X6),X15))
      | hBOOL(hAPP(hAPP(c_in(X3),hAPP(X21,X6)),c_Set_Oimage(X21,X15,X47,X3))) ),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_516_517,plain,
    ! [X6,X21,X15,X9,X3] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X9),X6),X15))
      | hBOOL(hAPP(hAPP(c_in(X3),hAPP(X21,X6)),c_Set_Oimage(X21,X15,X9,X3))) ),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_517_518,plain,
    ! [X6,X21,X15,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),hAPP(X21,X6)),c_Set_Oimage(X21,X15,X9,X3)))
      | ~ hBOOL(hAPP(hAPP(c_in(X9),X6),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_518_519,plain,
    ! [X6,X21,X15,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X9),hAPP(X21,X6)),c_Set_Oimage(X21,X15,X3,X9)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_519_520,plain,
    ! [X6,X7,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),c_Collect(X7,X3)))) ),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_520_521,plain,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_521_522,plain,
    ! [X16,X15,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X16),c_Complete__Lattice_OSup__class_OSup(X15,X3)) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X3),X16,X15,X3,X3)
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_522_523,plain,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),X16))
      | hBOOL(hAPP(hAPP(c_in(X3),X24),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16))) ),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_523_524,plain,
    ! [X6,X21,X16,X15,X9,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),hAPP(X21,X6)),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X9),X6),X15))
      | ~ c_lessequals(c_Set_Oimage(X21,X15,X9,X3),X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_524_525,plain,
    ! [X36,X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16)),X36) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X16),X36))
      | ~ c_lessequals(X36,X15,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_525_526,plain,
    ! [X15,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(X15,X3) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X3),c_Orderings_Obot__class_Obot(X3),X15,X3,X3)
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_526_527,plain,
    ! [X6,X7,X15,X3] :
      ( hBOOL(hAPP(X7,X6))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),c_Collect(X7,X3)))) ),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_527_528,plain,
    ! [X21,X16,X15,X9,X3] :
      ( c_Set_Oimage(X21,X15,X3,X9) != c_Set_Oimage(X21,X16,X3,X9)
      | ~ c_Fun_Oinj__on(X21,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
      | X15 = X16 ),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_528_529,plain,
    ! [X6,X60,X16,X15,X9,X3] :
      ( c_lessequals(hAPP(X15,X6),X16,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X9),X6),X60))
      | ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X60,X15,X9,tc_fun(X3,tc_bool)),X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_529_530,plain,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X16,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X16))
      | ~ c_HOL_Oord__class_Oless(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_530_531,plain,
    ! [X21,X15,X9,X3] :
      ( c_Set_Ovimage(X21,c_Set_Oimage(X21,X15,X3,X9),X3,X9) = X15
      | ~ c_Fun_Oinj__on(X21,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_531_532,plain,
    ! [X21,X15,X9,X3] :
      ( c_Finite__Set_Ofinite(X15,X9)
      | ~ c_Fun_Oinj__on(X21,X15,X9,X3)
      | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X21,X15,X9,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_532_533,plain,
    ! [X21,X16,X15,X9,X3] :
      ( c_lessequals(c_Set_Ovimage(X21,X15,X9,X3),c_Set_Ovimage(X21,X16,X9,X3),tc_fun(X9,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_533_534,plain,
    ! [X21,X16,X15,X9,X3] :
      ( c_lessequals(c_Set_Oimage(X21,X15,X3,X9),c_Set_Oimage(X21,X16,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_534_535,plain,
    ! [X6,X21,X15,X9,X3] :
      ( ~ c_lessequals(X6,X15,tc_fun(X9,tc_bool))
      | c_lessequals(c_Set_Oimage(X21,X6,X9,X3),c_Set_Oimage(X21,X15,X9,X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_535_536,plain,
    ! [X59,X60,X15,X9,X3] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X9,tc_bool)),hAPP(X15,X59)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X60,X15,X3,tc_fun(X9,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X60,X15,X3,tc_fun(X9,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X59),X60)) ),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_536_537,plain,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16))) ),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_537_538,plain,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16))) ),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_538_539,plain,
    ! [X21,X15,X3] :
      ( c_Fun_Oinj__on(X21,X15,X3,X3)
      | ~ c_lessequals(X15,c_Set_Oimage(X21,X15,X3,X3),tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_539_540,plain,
    ! [X6,X21,X15,X9,X3] :
      ( hBOOL(hAPP(c_Set_Ovimage(X21,X15,X3,X9),X6))
      | ~ hBOOL(hAPP(X15,hAPP(X21,X6))) ),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_540_541,axiom,
    ! [X16,X15,X9,X3] :
      ( hAPP(X16,c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1(X15,X16,X9,X3)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X9,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_101 ).

fof(c_0_541_542,axiom,
    ! [X16,X15,X9,X3] :
      ( hAPP(X16,c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1(X15,X16,X9,X3)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X9,tc_fun(X3,tc_bool)) ),
    c_0_102 ).

fof(c_0_542_543,plain,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X16,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_lessequals(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_543_544,plain,
    ! [X6,X16,X15,X9,X3] :
      ( c_Finite__Set_Ofinite(hAPP(X16,X6),X9)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X3,tc_fun(X9,tc_bool)),X9)
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_544_545,plain,
    ! [X21,X16,X15,X9,X3] :
      ( c_Fun_Oinj__on(X21,X16,X3,X9)
      | ~ c_Fun_Oinj__on(X21,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_545_546,plain,
    ! [X21,X16,X15,X9,X3] :
      ( c_Fun_Oinj__on(X21,X15,X3,X9)
      | ~ c_Fun_Oinj__on(X21,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_546_547,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X22)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X22)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_547_548,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X22)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_548_549,plain,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_549_550,plain,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_550_551,plain,
    ! [X6,X16,X15,X3] :
      ( hBOOL(hAPP(X16,X6))
      | hBOOL(hAPP(X15,X6))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X6)) ),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_551_552,plain,
    ! [X56,X50,X9,X3] :
      ( c_Finite__Set_Ofinite(c_Set_Ovimage(X56,X50,X9,X3),X9)
      | ~ c_Fun_Oinj__on(X56,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool)),X9,X3)
      | ~ c_Finite__Set_Ofinite(X50,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_552_553,plain,
    ! [X6,X7,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),c_Collect(X7,X3))))
      | ~ hBOOL(hAPP(X7,X6))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_553_554,plain,
    ! [X6,X21,X15,X9,X3] :
      ( c_Set_Oinsert(hAPP(X21,X6),c_Set_Oimage(X21,X15,X3,X9),X9) = c_Set_Oimage(X21,X15,X3,X9)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_554_555,plain,
    ! [X6,X16,X15,X3] :
      ( hBOOL(hAPP(X16,X6))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),X6)) ),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_555_556,plain,
    ! [X6,X16,X15,X3] :
      ( hBOOL(hAPP(X15,X6))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),X6)) ),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_556_557,plain,
    ! [X21,X16,X15,X9,X3] :
      ( c_Finite__Set_Ofinite(X16,X9)
      | ~ c_lessequals(X16,c_Set_Oimage(X21,X15,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_557_558,plain,
    ! [X35,X36,X16,X15,X3] :
      ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X36),X35),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X16,X35,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X36,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_558_559,plain,
    ! [X35,X36,X16,X15,X3] :
      ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X36),X35),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X16,X35,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X36,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_559_560,plain,
    ! [X14,X36,X16,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Set_Oinsert(X14,X16,X3)),X36) = c_Set_Oinsert(X14,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X16),X36),X3)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X36)) ),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_560_561,plain,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_561_562,plain,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X16)) ),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_562_563,axiom,
    ! [X23,X24,X13,X14,X3] :
      ( c_Set_Oinsert(X14,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X24,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X13 = X24
      | X13 = X23 ),
    c_0_123 ).

fof(c_0_563_564,axiom,
    ! [X23,X24,X13,X14,X3] :
      ( c_Set_Oinsert(X14,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X24,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X14 = X23
      | X13 = X23 ),
    c_0_124 ).

fof(c_0_564_565,axiom,
    ! [X23,X24,X13,X14,X3] :
      ( c_Set_Oinsert(X14,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X24,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X13 = X24
      | X14 = X24 ),
    c_0_125 ).

fof(c_0_565_566,axiom,
    ! [X23,X24,X13,X14,X3] :
      ( c_Set_Oinsert(X14,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X24,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X14 = X23
      | X14 = X24 ),
    c_0_126 ).

fof(c_0_566_567,plain,
    ! [X13,X14,X3] :
      ( X13 = X14
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X13),c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))) ),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_567_568,plain,
    ! [X24,X16,X15,X3] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)))) ),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_568_569,plain,
    ! [X14,X16,X15,X9,X3] :
      ( c_lessequals(hAPP(X16,X14),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X3,tc_fun(X9,tc_bool)),tc_fun(X9,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_569_570,plain,
    ! [X21,X14,X15,X9,X3] :
      ( c_Fun_Oinj__on(X21,X15,X3,X9)
      | ~ c_Fun_Oinj__on(X21,c_Set_Oinsert(X14,X15,X3),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_570_571,plain,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X16),X36),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_571_572,plain,
    ! [X14,X15,X3] :
      ( c_Set_Oinsert(X14,c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X15
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_572_573,plain,
    ! [X21,X16,X15,X9,X3] :
      ( c_Fun_Oinj__on(X21,c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3,X9)
      | ~ c_Fun_Oinj__on(X21,X15,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_573_574,plain,
    ! [X34,X6,X21,X15,X9,X3] :
      ( hAPP(X21,X6) != hAPP(X21,X34)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X34),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | X6 = X34
      | ~ c_Fun_Oinj__on(X21,X15,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_574_575,plain,
    ! [X34,X6,X21,X15,X9,X3] :
      ( hAPP(X21,X6) != hAPP(X21,X34)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X34),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_Fun_Oinj__on(X21,X15,X3,X9)
      | X6 = X34 ),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_575_576,plain,
    ! [X12,X6,X21,X15,X9,X3] :
      ( hAPP(X21,X6) != hAPP(X21,X12)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X12),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_Fun_Oinj__on(X21,X15,X3,X9)
      | X6 = X12 ),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_576_577,plain,
    ! [X34,X6,X21,X15,X9,X3] :
      ( hAPP(X21,X6) != hAPP(X21,X34)
      | ~ c_Fun_Oinj__on(X21,X15,X3,X9)
      | X6 = X34
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X34),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_577_578,plain,
    ! [X14,X16,X15,X3] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X14,X16,X3),tc_fun(X3,tc_bool)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_578_579,plain,
    ! [X21,X16,X15,X9,X3] :
      ( c_Fun_Oinj__on(X21,X15,X3,X9)
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X21,X16,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_579_580,plain,
    ! [X14,X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),c_Set_Oinsert(X14,X16,X3)) = c_Set_Oinsert(X14,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),X3)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_580_581,plain,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)))) ),
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_581_582,plain,
    ! [X61,X55,X15,X9,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X9)
      | c_lessequals(hAPP(X55,X61),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X55,X3,X9),X9)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X61),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_582_583,plain,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(X15,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X16),X36),tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X36,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_583_584,plain,
    ! [X21,X13,X14,X3] :
      ( X14 = X13
      | ~ c_Finite__Set_Ofold1Set(X21,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_584_585,axiom,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__2(X15,X16,X3)),X16)) ),
    c_0_145 ).

fof(c_0_585_586,axiom,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__1(X15,X16,X3)),X15)) ),
    c_0_146 ).

fof(c_0_586_587,plain,
    ! [X6,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),X6))
      | ~ hBOOL(hAPP(X16,X6))
      | ~ hBOOL(hAPP(X15,X6)) ),
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_587_588,plain,
    ! [X6,X49,X15,X9,X3] :
      ( hAPP(c_Map_Orestrict__map(X49,X15,X3,X9),X6) = hAPP(X49,X6)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_588_589,plain,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool))))
      | hBOOL(hAPP(hAPP(c_in(X3),X24),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_589_590,plain,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool))))
      | hBOOL(hAPP(hAPP(c_in(X3),X24),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_590_591,plain,
    ! [X6,X16,X15,X9,X3] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X9,tc_fun(X3,tc_bool))
      | hAPP(X16,X6) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X9),X6),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_591_592,plain,
    ! [X6,X16,X15,X9,X3] :
      ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,X16,X9,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | hAPP(X16,X6) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X9),X6),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_592_593,plain,
    ! [X6,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X6))
      | ~ hBOOL(hAPP(X16,X6)) ),
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_593_594,plain,
    ! [X6,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X6))
      | ~ hBOOL(hAPP(X15,X6)) ),
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_594_595,plain,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(X36,X16,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X36,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_595_596,plain,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(X36,X15,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X36,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_596_597,plain,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(X15,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X36,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_597_598,plain,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(X16,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X36,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_598_599,plain,
    ! [X14,X16,X15,X3] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X14,X16,X3),tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_159]) ).

fof(c_0_599_600,plain,
    ! [X6,X24,X15,X9,X3] :
      ( c_Set_Oimage(c_COMBK(X24,X9,X3),X15,X3,X9) = c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_160]) ).

fof(c_0_600_601,plain,
    ! [X35,X36,X16,X15,X3] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X36,X35,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X35,X16,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X36,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_161]) ).

fof(c_0_601_602,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X22)),X6) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X6)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X22),X6)) ),
    inference(fof_simplification,[status(thm)],[c_0_162]) ).

fof(c_0_602_603,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22)),X6) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X6)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X22),X6)) ),
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_603_604,axiom,
    ! [X6,X49,X15,X9,X3] :
      ( hAPP(c_Map_Orestrict__map(X49,X15,X3,X9),X6) = c_Option_Ooption_ONone(X9)
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    c_0_164 ).

fof(c_0_604_605,plain,
    ! [X13,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X14),X15))
      | X14 = X13
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),c_Set_Oinsert(X13,X15,X3))) ),
    inference(fof_simplification,[status(thm)],[c_0_165]) ).

fof(c_0_605_606,axiom,
    ! [X14,X36,X16,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Set_Oinsert(X14,X16,X3)),X36) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X16),X36)
      | hBOOL(hAPP(hAPP(c_in(X3),X14),X36)) ),
    c_0_166 ).

fof(c_0_606_607,plain,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X16,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X36,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_167]) ).

fof(c_0_607_608,plain,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16),X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X16,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X36,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_168]) ).

fof(c_0_608_609,plain,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(X36,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X36,X16,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X36,X15,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_169]) ).

fof(c_0_609_610,plain,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(X36,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X36,X16,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X36,X15,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_610_611,plain,
    ! [X6,X16,X15,X3] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_611_612,plain,
    ! [X13,X14,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X14,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),X13) ),
    inference(fof_simplification,[status(thm)],[c_0_172]) ).

fof(c_0_612_613,plain,
    ! [X6,X15,X3] :
      ( X15 = c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_173]) ).

fof(c_0_613_614,plain,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X16))
      | ~ c_HOL_Oord__class_Oless(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_174]) ).

fof(c_0_614_615,plain,
    ! [X10,X19,X11,X18] :
      ( c_Hoare__Mirabelle_Otriple__valid(X11,X19,t_a)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X19),X10))
      | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X18,X11)),X18))
      | ~ c_Hoare__Mirabelle_Ohoare__valids(X18,X10,t_a) ),
    inference(fof_simplification,[status(thm)],[c_0_175]) ).

fof(c_0_615_616,plain,
    ! [X24,X15,X9,X3] :
      ( c_Set_Ovimage(c_COMBK(X24,X9,X3),X15,X3,X9) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X9),X24),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_176]) ).

fof(c_0_616_617,plain,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_177]) ).

fof(c_0_617_618,plain,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X16))
      | ~ c_HOL_Oord__class_Oless(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_178]) ).

fof(c_0_618_619,plain,
    ! [X56,X50,X9,X3] :
      ( c_Finite__Set_Ofinite(c_Set_Oimage(X56,X50,X3,X9),X9)
      | ~ c_Finite__Set_Ofinite(X50,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_179]) ).

fof(c_0_619_620,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X22)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X22)) ),
    inference(fof_simplification,[status(thm)],[c_0_180]) ).

fof(c_0_620_621,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X22)) ),
    inference(fof_simplification,[status(thm)],[c_0_181]) ).

fof(c_0_621_622,plain,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X16)) ),
    inference(fof_simplification,[status(thm)],[c_0_182]) ).

fof(c_0_622_623,plain,
    ! [X34,X6,X21,X9,X3] :
      ( hAPP(X21,X6) != hAPP(X21,X34)
      | ~ c_Fun_Oinj__on(X21,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
      | X6 = X34 ),
    inference(fof_simplification,[status(thm)],[c_0_183]) ).

fof(c_0_623_624,axiom,
    ! [X6,X15,X3] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X6,X15,X3),c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X15
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    c_0_184 ).

fof(c_0_624_625,axiom,
    ! [X14,X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),c_Set_Oinsert(X14,X16,X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16)
      | hBOOL(hAPP(hAPP(c_in(X3),X14),X15)) ),
    c_0_185 ).

fof(c_0_625_626,axiom,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X6,X15,X3),X16,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X6,c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3)
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X16)) ),
    c_0_186 ).

fof(c_0_626_627,plain,
    ! [X6,X10,X11] :
      ( c_Hoare__Mirabelle_Otriple__valid(X11,X6,t_a)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X6),X10))
      | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X11,X10)),X10)) ),
    inference(fof_simplification,[status(thm)],[c_0_187]) ).

fof(c_0_627_628,axiom,
    ! [X24,X15,X9,X3] :
      ( c_Set_Oimage(c_COMBK(X24,X3,X9),X15,X9,X3) = c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)) ),
    c_0_188 ).

fof(c_0_628_629,plain,
    ! [X13,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X14),c_Set_Oinsert(X13,X15,X3)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_189]) ).

fof(c_0_629_630,plain,
    ! [X13,X14,X16,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X14),c_Set_Oinsert(X13,X16,X3)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X16)) ),
    inference(fof_simplification,[status(thm)],[c_0_190]) ).

fof(c_0_630_631,axiom,
    ! [X24,X15,X9,X3] :
      ( c_Set_Ovimage(c_COMBK(X24,X9,X3),X15,X3,X9) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X9),X24),X15)) ),
    c_0_191 ).

fof(c_0_631_632,plain,
    ! [X18,X50,X3] :
      ( c_Finite__Set_Ofinite(X50,X3)
      | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X50),X18),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_192]) ).

fof(c_0_632_633,plain,
    ! [X18,X50,X3] :
      ( c_Finite__Set_Ofinite(X18,X3)
      | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X50),X18),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_193]) ).

fof(c_0_633_634,plain,
    ! [X36,X16,X15,X3] :
      ( c_HOL_Ominus__class_Ominus(X16,c_HOL_Ominus__class_Ominus(X36,X15,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X15
      | ~ c_lessequals(X16,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_194]) ).

fof(c_0_634_635,plain,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_lessequals(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_195]) ).

fof(c_0_635_636,plain,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_196]) ).

fof(c_0_636_637,plain,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X16))
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_197]) ).

fof(c_0_637_638,plain,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(c_Set_Oinsert(X6,X15,X3),X16,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X16)) ),
    inference(fof_simplification,[status(thm)],[c_0_198]) ).

fof(c_0_638_639,plain,
    ! [X10,X17,X11,X18] :
      ( c_Hoare__Mirabelle_Otriple__valid(X11,X17,t_a)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X17),X10))
      | ~ c_Hoare__Mirabelle_Otriple__valid(X11,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X18,X11),t_a)
      | ~ c_Hoare__Mirabelle_Ohoare__valids(X18,X10,t_a) ),
    inference(fof_simplification,[status(thm)],[c_0_199]) ).

fof(c_0_639_640,axiom,
    ! [X21,X15,X9,X3] :
      ( c_Set_Oimage(X21,X15,X9,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)) ),
    c_0_200 ).

fof(c_0_640_641,axiom,
    ! [X21,X15,X9,X3] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Set_Oimage(X21,X15,X9,X3)
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)) ),
    c_0_201 ).

fof(c_0_641_642,plain,
    ! [X15,X3] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(X15,X3)),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(X15,X3)))
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_202]) ).

fof(c_0_642_643,plain,
    ! [X6,X16,X15,X3] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X6,X15,X3),X16,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X16)) ),
    inference(fof_simplification,[status(thm)],[c_0_203]) ).

fof(c_0_643_644,plain,
    ! [X39,X21,X9] :
      ( ~ class_Lattices_Olattice(X9)
      | hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,X9)),X21),X39),v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X9),hAPP(X21,v_x)),hAPP(X39,v_x)) ),
    inference(fof_simplification,[status(thm)],[c_0_204]) ).

fof(c_0_644_645,plain,
    ! [X39,X21,X9] :
      ( ~ class_Lattices_Olattice(X9)
      | hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,X9)),X21),X39),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X9),hAPP(X21,v_x)),hAPP(X39,v_x)) ),
    inference(fof_simplification,[status(thm)],[c_0_205]) ).

fof(c_0_645_646,plain,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),c_HOL_Ominus__class_Ominus(X16,X15,tc_fun(X3,tc_bool))) = X16
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_206]) ).

fof(c_0_646_647,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34)),X22) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X22)) ),
    inference(fof_simplification,[status(thm)],[c_0_207]) ).

fof(c_0_647_648,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34)),X22) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X22)) ),
    inference(fof_simplification,[status(thm)],[c_0_208]) ).

fof(c_0_648_649,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34)),X22) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22)) ),
    inference(fof_simplification,[status(thm)],[c_0_209]) ).

fof(c_0_649_650,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34)),X22) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22)) ),
    inference(fof_simplification,[status(thm)],[c_0_210]) ).

fof(c_0_650_651,plain,
    ! [X34,X6,X15,X3] :
      ( hBOOL(hAPP(X15,X6))
      | X34 = X6
      | ~ hBOOL(hAPP(c_Set_Oinsert(X34,X15,X3),X6)) ),
    inference(fof_simplification,[status(thm)],[c_0_211]) ).

fof(c_0_651_652,plain,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_212]) ).

fof(c_0_652_653,plain,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X6,X16,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_213]) ).

fof(c_0_653_654,plain,
    ! [X14,X35,X36,X3] :
      ( c_lessequals(c_Set_Oinsert(X14,X36,X3),c_Set_Oinsert(X14,X35,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X36,X35,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_214]) ).

fof(c_0_654_655,plain,
    ! [X51,X52,X48] :
      ( c_Finite__Set_Ofinite(X51,t_a)
      | ~ c_Wellfounded_Omax__extp(X48,X52,X51,t_a) ),
    inference(fof_simplification,[status(thm)],[c_0_215]) ).

fof(c_0_655_656,plain,
    ! [X51,X52,X48] :
      ( c_Finite__Set_Ofinite(X52,t_a)
      | ~ c_Wellfounded_Omax__extp(X48,X52,X51,t_a) ),
    inference(fof_simplification,[status(thm)],[c_0_216]) ).

fof(c_0_656_657,plain,
    ! [X6,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X6),X16))
      | ~ c_lessequals(c_Set_Oinsert(X6,X15,X3),X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_217]) ).

fof(c_0_657_658,plain,
    ! [X20,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X20),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X20),X15))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_218]) ).

fof(c_0_658_659,plain,
    ! [X6,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X6),X16))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_219]) ).

fof(c_0_659_660,plain,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X15))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_220]) ).

fof(c_0_660_661,plain,
    ! [X6,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X6),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_221]) ).

fof(c_0_661_662,plain,
    ! [X24,X16,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X24),X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X24),X15))
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_222]) ).

fof(c_0_662_663,plain,
    ! [X12,X10,X11] :
      ( c_Hoare__Mirabelle_Otriple__valid(X11,X12,t_a)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X12),X10))
      | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X11),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X11,X10),t_a) ),
    inference(fof_simplification,[status(thm)],[c_0_223]) ).

fof(c_0_663_664,plain,
    ! [X55,X15,X9,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X9)
      | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X15,c_COMBK(X55,X9,X3),X3,X9) = X55
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_224]) ).

fof(c_0_664_665,axiom,
    ! [X6,X16,X15,X3] :
      ( c_Set_Oinsert(X6,X15,X3) != c_Set_Oinsert(X6,X16,X3)
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X16))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | X15 = X16 ),
    c_0_225 ).

fof(c_0_665_666,plain,
    ! [X6,X7,X3] :
      ( ~ hBOOL(hAPP(X7,X6))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
    inference(fof_simplification,[status(thm)],[c_0_226]) ).

fof(c_0_666_667,plain,
    ! [X6,X16,X15,X3] :
      ( c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Set_Oinsert(X6,X15,X3),X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_227]) ).

fof(c_0_667_668,plain,
    ! [X6,X7,X3] :
      ( hBOOL(hAPP(X7,X6))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
    inference(fof_simplification,[status(thm)],[c_0_228]) ).

fof(c_0_668_669,axiom,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)) = X15 ),
    c_0_229 ).

fof(c_0_669_670,plain,
    ! [X18,X50,X3] :
      ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X50),X18),X3)
      | ~ c_Finite__Set_Ofinite(X18,X3)
      | ~ c_Finite__Set_Ofinite(X50,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_230]) ).

fof(c_0_670_671,plain,
    ! [X18,X50,X3] :
      ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X50),X18),X3)
      | ~ c_Finite__Set_Ofinite(X18,X3)
      | ~ c_Finite__Set_Ofinite(X50,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_231]) ).

fof(c_0_671_672,plain,
    ! [X6,X10,X18] :
      ( c_Hoare__Mirabelle_Ohoare__valids(X18,X10,t_a)
      | c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(X18,X10),X6,t_a)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X6),X18)) ),
    inference(fof_simplification,[status(thm)],[c_0_232]) ).

fof(c_0_672_673,plain,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),X13),X6,X3)
      | ~ c_lessequals(X13,X6,X3)
      | ~ c_lessequals(X14,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_233]) ).

fof(c_0_673_674,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X22),X6,X3)
      | ~ c_lessequals(X22,X6,X3)
      | ~ c_lessequals(X34,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_234]) ).

fof(c_0_674_675,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34),X22,X3)
      | ~ c_lessequals(X34,X22,X3)
      | ~ c_lessequals(X6,X22,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_235]) ).

fof(c_0_675_676,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X6,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22),X3)
      | ~ c_lessequals(X6,X22,X3)
      | ~ c_lessequals(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_236]) ).

fof(c_0_676_677,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X6,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22),X3)
      | ~ c_lessequals(X6,X22,X3)
      | ~ c_lessequals(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_237]) ).

fof(c_0_677_678,plain,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X6,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X14),X13),X3)
      | ~ c_lessequals(X6,X13,X3)
      | ~ c_lessequals(X6,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_238]) ).

fof(c_0_678_679,axiom,
    ! [X13,X14,X3] :
      ( c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X14 = X13 ),
    c_0_239 ).

fof(c_0_679_680,plain,
    ! [X33,X24,X13,X14,X3] :
      ( hAPP(hAPP(X33,hAPP(hAPP(X33,X14),X13)),X24) = hAPP(hAPP(X33,X14),hAPP(hAPP(X33,X13),X24))
      | ~ c_OrderedGroup_Oab__semigroup__mult(X33,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_240]) ).

fof(c_0_680_681,plain,
    ! [X18,X50,X3] :
      ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X50),X18),X3)
      | ~ c_Finite__Set_Ofinite(X18,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_241]) ).

fof(c_0_681_682,plain,
    ! [X18,X50,X3] :
      ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X50),X18),X3)
      | ~ c_Finite__Set_Ofinite(X50,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_242]) ).

fof(c_0_682_683,plain,
    ! [X36,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,X36,tc_fun(X3,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X16,X36,tc_fun(X3,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_243]) ).

fof(c_0_683_684,plain,
    ! [X36,X16,X15,X3] :
      ( c_lessequals(X15,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X16,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_244]) ).

fof(c_0_684_685,plain,
    ! [X36,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X16,X36,tc_fun(X3,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_245]) ).

fof(c_0_685_686,plain,
    ! [X36,X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,X36,tc_fun(X3,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X16,X36,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_246]) ).

fof(c_0_686_687,plain,
    ! [X37,X34,X38,X6,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X6,X34,X3) != c_HOL_Ominus__class_Ominus(X38,X37,X3)
      | c_lessequals(X37,X38,X3)
      | ~ c_lessequals(X34,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_247]) ).

fof(c_0_687_688,plain,
    ! [X37,X34,X38,X6,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X6,X34,X3) != c_HOL_Ominus__class_Ominus(X38,X37,X3)
      | c_lessequals(X34,X6,X3)
      | ~ c_lessequals(X37,X38,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_248]) ).

fof(c_0_688_689,plain,
    ! [X37,X34,X38,X6,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X6,X34,X3) != c_HOL_Ominus__class_Ominus(X38,X37,X3)
      | c_HOL_Oord__class_Oless(X38,X37,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_249]) ).

fof(c_0_689_690,plain,
    ! [X37,X34,X38,X6,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X6,X34,X3) != c_HOL_Ominus__class_Ominus(X38,X37,X3)
      | c_HOL_Oord__class_Oless(X6,X34,X3)
      | ~ c_HOL_Oord__class_Oless(X38,X37,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_250]) ).

fof(c_0_690_691,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X22)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X22)) ),
    inference(fof_simplification,[status(thm)],[c_0_251]) ).

fof(c_0_691_692,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X22)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X22)) ),
    inference(fof_simplification,[status(thm)],[c_0_252]) ).

fof(c_0_692_693,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X22)) ),
    inference(fof_simplification,[status(thm)],[c_0_253]) ).

fof(c_0_693_694,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X22)) ),
    inference(fof_simplification,[status(thm)],[c_0_254]) ).

fof(c_0_694_695,plain,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X6,X14,X3)
      | ~ c_lessequals(X6,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X14),X13),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_255]) ).

fof(c_0_695_696,plain,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X6,X13,X3)
      | ~ c_lessequals(X6,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X14),X13),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_256]) ).

fof(c_0_696_697,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X6,X34,X3)
      | ~ c_lessequals(X6,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_257]) ).

fof(c_0_697_698,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X6,X22,X3)
      | ~ c_lessequals(X6,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X22),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_258]) ).

fof(c_0_698_699,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X34,X22,X3)
      | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34),X22,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_259]) ).

fof(c_0_699_700,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X6,X22,X3)
      | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34),X22,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_260]) ).

fof(c_0_700_701,plain,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X13,X6,X3)
      | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),X13),X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_261]) ).

fof(c_0_701_702,plain,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X14,X6,X3)
      | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),X13),X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_262]) ).

fof(c_0_702_703,plain,
    ! [X13,X16,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X13,X16,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_263]) ).

fof(c_0_703_704,axiom,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16) != X16
      | c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    c_0_264 ).

fof(c_0_704_705,plain,
    ! [X16,X15,X3] :
      ( c_Finite__Set_Ofinite(X15,X3)
      | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_265]) ).

fof(c_0_705_706,axiom,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X16 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_266 ).

fof(c_0_706_707,axiom,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_267 ).

fof(c_0_707_708,plain,
    ! [X39,X21,X9,X3] :
      ( ~ class_HOL_Oord(X9)
      | c_HOL_Oord__class_Oless(X21,X39,tc_fun(X3,X9))
      | c_lessequals(X39,X21,tc_fun(X3,X9))
      | ~ c_lessequals(X21,X39,tc_fun(X3,X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_268]) ).

fof(c_0_708_709,plain,
    ! [X34,X6,X15,X3] :
      ( hBOOL(hAPP(c_Set_Oinsert(X34,X15,X3),X6))
      | ~ hBOOL(hAPP(X15,X6)) ),
    inference(fof_simplification,[status(thm)],[c_0_269]) ).

fof(c_0_709_710,plain,
    ! [X54,X55,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(c_Finite__Set_Olinorder__class_OMax(X55,X3),c_Finite__Set_Olinorder__class_OMax(X54,X3),X3)
      | ~ c_Finite__Set_Ofinite(X54,X3)
      | X55 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X55,X54,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_270]) ).

fof(c_0_710_711,plain,
    ! [X54,X55,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(c_Finite__Set_Olinorder__class_OMin(X54,X3),c_Finite__Set_Olinorder__class_OMin(X55,X3),X3)
      | ~ c_Finite__Set_Ofinite(X54,X3)
      | X55 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X55,X54,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_271]) ).

fof(c_0_711_712,axiom,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__1(X15,X16,X3) = c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__2(X15,X16,X3) ),
    c_0_272 ).

fof(c_0_712_713,plain,
    ! [X14,X7,X3] :
      ( hBOOL(hAPP(X7,X14))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),c_Collect(X7,X3))) ),
    inference(fof_simplification,[status(thm)],[c_0_273]) ).

fof(c_0_713_714,plain,
    ! [X6,X15,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(c_Finite__Set_Olinorder__class_OMin(X15,X3),X6,X3)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_274]) ).

fof(c_0_714_715,plain,
    ! [X6,X15,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X6,c_Finite__Set_Olinorder__class_OMax(X15,X3),X3)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_275]) ).

fof(c_0_715_716,plain,
    ! [X16,X15,X9] :
      ( ~ class_HOL_Ominus(X9)
      | hAPP(c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(t_a,X9)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(X15,v_x),hAPP(X16,v_x),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_276]) ).

fof(c_0_716_717,plain,
    ! [X15,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | hBOOL(hAPP(hAPP(c_in(X3),c_Finite__Set_Olinorder__class_OMin(X15,X3)),X15))
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_277]) ).

fof(c_0_717_718,plain,
    ! [X15,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | hBOOL(hAPP(hAPP(c_in(X3),c_Finite__Set_Olinorder__class_OMax(X15,X3)),X15))
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_278]) ).

fof(c_0_718_719,plain,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16) = X15
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_279]) ).

fof(c_0_719_720,plain,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X15),X16) = X16
      | ~ c_lessequals(X16,X15,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_280]) ).

fof(c_0_720_721,plain,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16) = X16
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_281]) ).

fof(c_0_721_722,plain,
    ! [X16,X15,X3] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X15),X16) = X15
      | ~ c_lessequals(X16,X15,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_282]) ).

fof(c_0_722_723,plain,
    ! [X39,X21,X9,X3] :
      ( ~ class_HOL_Oord(X9)
      | ~ c_lessequals(X39,X21,tc_fun(X3,X9))
      | ~ c_HOL_Oord__class_Oless(X21,X39,tc_fun(X3,X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_283]) ).

fof(c_0_723_724,plain,
    ! [X33,X24,X13,X14,X3] :
      ( hAPP(hAPP(X33,X14),hAPP(hAPP(X33,X13),X24)) = hAPP(hAPP(X33,X13),hAPP(hAPP(X33,X14),X24))
      | ~ c_OrderedGroup_Oab__semigroup__mult(X33,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_284]) ).

fof(c_0_724_725,plain,
    ! [X12,X6,X33,X9,X3] :
      ( c_Set_Oinsert(X6,X12,X9) != c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X9),X6),X12))
      | ~ c_OrderedGroup_Oab__semigroup__mult(X33,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_285]) ).

fof(c_0_725_726,plain,
    ! [X6,X15,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_lessequals(X6,c_Complete__Lattice_OSup__class_OSup(X15,X3),X3)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_286]) ).

fof(c_0_726_727,plain,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X14),X13),X6,X3)
      | ~ c_HOL_Oord__class_Oless(X13,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_287]) ).

fof(c_0_727_728,plain,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X14),X13),X6,X3)
      | ~ c_HOL_Oord__class_Oless(X14,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_288]) ).

fof(c_0_728_729,plain,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X14),X13),X6,X3)
      | ~ c_lessequals(X14,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_289]) ).

fof(c_0_729_730,plain,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X14),X13),X6,X3)
      | ~ c_lessequals(X13,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_290]) ).

fof(c_0_730_731,plain,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_HOL_Oord__class_Oless(X6,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),X13),X3)
      | ~ c_HOL_Oord__class_Oless(X6,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_291]) ).

fof(c_0_731_732,plain,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_HOL_Oord__class_Oless(X6,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),X13),X3)
      | ~ c_HOL_Oord__class_Oless(X6,X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_292]) ).

fof(c_0_732_733,plain,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X6,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),X13),X3)
      | ~ c_lessequals(X6,X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_293]) ).

fof(c_0_733_734,plain,
    ! [X6,X13,X14,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X6,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),X13),X3)
      | ~ c_lessequals(X6,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_294]) ).

fof(c_0_734_735,plain,
    ! [X16,X15,X3] :
      ( X15 = X16
      | ~ c_lessequals(X16,X15,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_295]) ).

fof(c_0_735_736,plain,
    ! [X16,X15,X3] :
      ( X15 = X16
      | ~ c_lessequals(X16,X15,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_296]) ).

fof(c_0_736_737,plain,
    ! [X6,X39,X21,X9,X3] :
      ( ~ class_HOL_Oord(X9)
      | c_lessequals(hAPP(X21,X6),hAPP(X39,X6),X9)
      | ~ c_lessequals(X21,X39,tc_fun(X3,X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_297]) ).

fof(c_0_737_738,axiom,
    ! [X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Set__Xex__in__conv__1__1(X15,X3)),X15))
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_298 ).

fof(c_0_738_739,axiom,
    ! [X15,X3] :
      ( X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Set__Xall__not__in__conv__1__1(X15,X3)),X15)) ),
    c_0_299 ).

fof(c_0_739_740,axiom,
    ! [X15,X3] :
      ( X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Set__Xequals0I__1__1(X15,X3)),X15)) ),
    c_0_300 ).

fof(c_0_740_741,axiom,
    ! [X12,X6,X3] :
      ( c_Set_Oinsert(X6,X12,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X6),X12)) ),
    c_0_301 ).

fof(c_0_741_742,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X6,X22,X3)
      | ~ c_HOL_Oord__class_Oless(X34,X22,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_302]) ).

fof(c_0_742_743,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X22,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X22,X34,X3)
      | ~ c_HOL_Oord__class_Oless(X34,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_303]) ).

fof(c_0_743_744,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X22,X6,X3)
      | ~ c_lessequals(X22,X34,X3)
      | ~ c_lessequals(X34,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_304]) ).

fof(c_0_744_745,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X22,X6,X3)
      | ~ c_lessequals(X22,X34,X3)
      | ~ c_HOL_Oord__class_Oless(X34,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_305]) ).

fof(c_0_745_746,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X22,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X22,X34,X3)
      | ~ c_lessequals(X34,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_306]) ).

fof(c_0_746_747,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X6,X22,X3)
      | ~ c_lessequals(X34,X22,X3)
      | ~ c_lessequals(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_307]) ).

fof(c_0_747_748,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X6,X22,X3)
      | ~ c_HOL_Oord__class_Oless(X34,X22,X3)
      | ~ c_lessequals(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_308]) ).

fof(c_0_748_749,plain,
    ! [X22,X34,X6,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X6,X22,X3)
      | ~ c_lessequals(X34,X22,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_309]) ).

fof(c_0_749_750,plain,
    ! [X14,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = X14 ),
    inference(fof_simplification,[status(thm)],[c_0_310]) ).

fof(c_0_750_751,plain,
    ! [X14,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = X14 ),
    inference(fof_simplification,[status(thm)],[c_0_311]) ).

fof(c_0_751_752,plain,
    ! [X14,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = X14 ),
    inference(fof_simplification,[status(thm)],[c_0_312]) ).

fof(c_0_752_753,plain,
    ! [X15,X3] :
      ( X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_313]) ).

fof(c_0_753_754,plain,
    ! [X10,X53,X18,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X18,X10,X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X18,X53,X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X53,X10,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_314]) ).

fof(c_0_754_755,plain,
    ! [X14,X15,X3] :
      ( c_Set_Oinsert(X14,X15,X3) = X15
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X14),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_315]) ).

fof(c_0_755_756,plain,
    ! [X39,X21,X9,X3] :
      ( ~ class_HOL_Oord(X9)
      | c_lessequals(X21,X39,tc_fun(X3,X9))
      | ~ c_HOL_Oord__class_Oless(X21,X39,tc_fun(X3,X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_316]) ).

fof(c_0_756_757,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34) ),
    inference(fof_simplification,[status(thm)],[c_0_317]) ).

fof(c_0_757_758,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34) ),
    inference(fof_simplification,[status(thm)],[c_0_318]) ).

fof(c_0_758_759,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34) ),
    inference(fof_simplification,[status(thm)],[c_0_319]) ).

fof(c_0_759_760,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34) ),
    inference(fof_simplification,[status(thm)],[c_0_320]) ).

fof(c_0_760_761,plain,
    ! [X16,X15,X3] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X15,X3)
      | ~ c_Finite__Set_Ofinite(X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_321]) ).

fof(c_0_761_762,plain,
    ! [X14,X7,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X14),c_Collect(X7,X3)))
      | ~ hBOOL(hAPP(X7,X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_322]) ).

fof(c_0_762_763,plain,
    ! [X14,X15,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X14,X15,X3),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X14),c_Complete__Lattice_OSup__class_OSup(X15,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_323]) ).

fof(c_0_763_764,plain,
    ! [X14,X15,X3] :
      ( c_Finite__Set_Ofinite(X15,X3)
      | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X14,X15,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_324]) ).

fof(c_0_764_765,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X6,X34,X3)
      | c_lessequals(X34,X6,X3)
      | ~ c_lessequals(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_325]) ).

fof(c_0_765_766,plain,
    ! [X16,X15,X3] :
      ( c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool))
      | X15 = X16
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_326]) ).

fof(c_0_766_767,plain,
    ! [X16,X15,X3] :
      ( X15 = X16
      | c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_327]) ).

fof(c_0_767_768,plain,
    ! [X6,X46,X7,X3] :
      ( hBOOL(hAPP(X46,X6))
      | ~ hBOOL(hAPP(X7,X6))
      | ~ c_lessequals(X7,X46,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_328]) ).

fof(c_0_768_769,plain,
    ! [X6,X46,X7,X3] :
      ( hBOOL(hAPP(X46,X6))
      | ~ c_lessequals(X7,X46,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(X7,X6)) ),
    inference(fof_simplification,[status(thm)],[c_0_329]) ).

fof(c_0_769_770,plain,
    ! [X16,X15,X3] :
      ( c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_330]) ).

fof(c_0_770_771,plain,
    ! [X6,X8,X3] :
      ( hBOOL(hAPP(X8,X6))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X8)) ),
    inference(fof_simplification,[status(thm)],[c_0_331]) ).

fof(c_0_771_772,plain,
    ! [X16,X15,X3] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_332]) ).

fof(c_0_772_773,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X6 = X34
      | ~ c_lessequals(X34,X6,X3)
      | ~ c_lessequals(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_333]) ).

fof(c_0_773_774,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X6 = X34
      | ~ c_lessequals(X34,X6,X3)
      | ~ c_lessequals(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_334]) ).

fof(c_0_774_775,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X6 = X34
      | ~ c_lessequals(X6,X34,X3)
      | ~ c_lessequals(X34,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_335]) ).

fof(c_0_775_776,plain,
    ! [X34,X12,X6,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X12,X34,X3) != c_HOL_Ominus__class_Ominus(X6,X6,X3)
      | X12 = X34 ),
    inference(fof_simplification,[status(thm)],[c_0_336]) ).

fof(c_0_776_777,plain,
    ! [X37,X38,X6,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X6,X6,X3) != c_HOL_Ominus__class_Ominus(X38,X37,X3)
      | X38 = X37 ),
    inference(fof_simplification,[status(thm)],[c_0_337]) ).

fof(c_0_777_778,plain,
    ! [X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_lessequals(X6,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_338]) ).

fof(c_0_778_779,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X6,X34,X3)
      | ~ c_lessequals(X34,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_339]) ).

fof(c_0_779_780,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_lessequals(X6,X34,X3)
      | ~ c_HOL_Oord__class_Oless(X34,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_340]) ).

fof(c_0_780_781,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_lessequals(X34,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_341]) ).

fof(c_0_781_782,plain,
    ! [X13,X14,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_HOL_Oord__class_Oless(X14,X13,X3)
      | ~ c_HOL_Oord__class_Oless(X13,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_342]) ).

fof(c_0_782_783,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X6,X34,X3)
      | ~ c_HOL_Oord__class_Oless(X34,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_343]) ).

fof(c_0_783_784,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X34,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_344]) ).

fof(c_0_784_785,plain,
    ! [X13,X14,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X13,X14,X3)
      | ~ c_HOL_Oord__class_Oless(X14,X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_345]) ).

fof(c_0_785_786,plain,
    ! [X1,X2,X3] :
      ( X2 = X1
      | ~ hBOOL(hAPP(hAPP(c_fequal(X3),X2),X1)) ),
    inference(fof_simplification,[status(thm)],[c_0_346]) ).

fof(c_0_786_787,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X6,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_347]) ).

fof(c_0_787_788,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X34,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_348]) ).

fof(c_0_788_789,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X34,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_349]) ).

fof(c_0_789_790,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X6,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_350]) ).

fof(c_0_790_791,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34),X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_351]) ).

fof(c_0_791_792,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34),X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_352]) ).

fof(c_0_792_793,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34),X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_353]) ).

fof(c_0_793_794,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34),X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_354]) ).

fof(c_0_794_795,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34)) = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_355]) ).

fof(c_0_795_796,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34)) = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_356]) ).

fof(c_0_796_797,plain,
    ! [X16,X15,X3] :
      ( c_Finite__Set_Ofinite(X15,X3)
      | ~ c_Finite__Set_Ofinite(X16,X3)
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_357]) ).

fof(c_0_797_798,plain,
    ! [X16,X15,X3] :
      ( c_Finite__Set_Ofinite(X15,X3)
      | ~ c_lessequals(X15,X16,tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_358]) ).

fof(c_0_798_799,plain,
    ! [X6,X8,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X6),X8))
      | ~ hBOOL(hAPP(X8,X6)) ),
    inference(fof_simplification,[status(thm)],[c_0_359]) ).

fof(c_0_799_800,plain,
    ! [X20,X11,X3] :
      ( c_Hoare__Mirabelle_Otriple__valid(X11,X20,X3)
      | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X11),X20,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_360]) ).

fof(c_0_800_801,plain,
    ! [X13,X14,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X13,X14,X3)
      | X14 = X13
      | ~ c_lessequals(X13,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_361]) ).

fof(c_0_801_802,plain,
    ! [X13,X14,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X13,X14,X3)
      | ~ c_lessequals(X13,X14,X3)
      | X14 = X13 ),
    inference(fof_simplification,[status(thm)],[c_0_362]) ).

fof(c_0_802_803,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X6 = X34
      | c_HOL_Oord__class_Oless(X6,X34,X3)
      | ~ c_lessequals(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_363]) ).

fof(c_0_803_804,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X6,X34,X3)
      | X6 = X34
      | ~ c_lessequals(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_364]) ).

fof(c_0_804_805,plain,
    ! [X13,X14,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X14,X13,X3)
      | X14 = X13
      | ~ c_lessequals(X14,X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_365]) ).

fof(c_0_805_806,plain,
    ! [X13,X14,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X14,X13,X3)
      | ~ c_lessequals(X14,X13,X3)
      | X14 = X13 ),
    inference(fof_simplification,[status(thm)],[c_0_366]) ).

fof(c_0_806_807,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X6 = X34
      | ~ c_lessequals(X6,X34,X3)
      | c_HOL_Oord__class_Oless(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_367]) ).

fof(c_0_807_808,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X6 = X34
      | c_HOL_Oord__class_Oless(X6,X34,X3)
      | ~ c_lessequals(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_368]) ).

fof(c_0_808_809,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X6,X34,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_369]) ).

fof(c_0_809_810,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X6,X34,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_370]) ).

fof(c_0_810_811,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34) = X6
      | ~ c_lessequals(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_371]) ).

fof(c_0_811_812,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34) = X34
      | ~ c_lessequals(X34,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_372]) ).

fof(c_0_812_813,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34) = X6
      | ~ c_lessequals(X34,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_373]) ).

fof(c_0_813_814,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34) = X34
      | ~ c_lessequals(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_374]) ).

fof(c_0_814_815,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34) != X6
      | c_lessequals(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_375]) ).

fof(c_0_815_816,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34) != X34
      | c_lessequals(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_376]) ).

fof(c_0_816_817,plain,
    ! [X14,X15,X3] :
      ( c_Finite__Set_Ofinite(c_Set_Oinsert(X14,X15,X3),X3)
      | ~ c_Finite__Set_Ofinite(X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_377]) ).

fof(c_0_817_818,axiom,
    ! [X15,X3] :
      ( X15 = c_Set_Oinsert(c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(X15,X3),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(X15,X3),X3)
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_378 ).

fof(c_0_818_819,plain,
    ! [X34,X6,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X34,X6,X3)
      | c_HOL_Oord__class_Oless(X6,X34,X3)
      | X6 = X34 ),
    inference(fof_simplification,[status(thm)],[c_0_379]) ).

fof(c_0_819_820,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X6 = X34
      | c_HOL_Oord__class_Oless(X34,X6,X3)
      | c_HOL_Oord__class_Oless(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_380]) ).

fof(c_0_820_821,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X34,X6,X3)
      | c_HOL_Oord__class_Oless(X6,X34,X3)
      | X6 = X34 ),
    inference(fof_simplification,[status(thm)],[c_0_381]) ).

fof(c_0_821_822,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X34,X6,X3)
      | X6 = X34
      | c_HOL_Oord__class_Oless(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_382]) ).

fof(c_0_822_823,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X6 = X34
      | c_HOL_Oord__class_Oless(X6,X34,X3)
      | c_HOL_Oord__class_Oless(X34,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_383]) ).

fof(c_0_823_824,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X6,X34,X3)
      | c_lessequals(X34,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_384]) ).

fof(c_0_824_825,plain,
    ! [X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X6,X6,X3)
      | c_lessequals(X6,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_385]) ).

fof(c_0_825_826,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X34,X6,X3)
      | c_HOL_Oord__class_Oless(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_386]) ).

fof(c_0_826_827,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X34,X6,X3)
      | c_lessequals(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_387]) ).

fof(c_0_827_828,plain,
    ! [X34,X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X34,X6,X3)
      | c_lessequals(X6,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_388]) ).

fof(c_0_828_829,plain,
    ! [X6,X7,X3] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Collect(X7,X3)
      | ~ hBOOL(hAPP(X7,X6)) ),
    inference(fof_simplification,[status(thm)],[c_0_389]) ).

fof(c_0_829_830,plain,
    ! [X6,X7,X3] :
      ( c_Collect(X7,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(X7,X6)) ),
    inference(fof_simplification,[status(thm)],[c_0_390]) ).

fof(c_0_830_831,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X6) ),
    inference(fof_simplification,[status(thm)],[c_0_391]) ).

fof(c_0_831_832,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X34) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X34),X6) ),
    inference(fof_simplification,[status(thm)],[c_0_392]) ).

fof(c_0_832_833,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X6) ),
    inference(fof_simplification,[status(thm)],[c_0_393]) ).

fof(c_0_833_834,plain,
    ! [X34,X6,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X34) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X34),X6) ),
    inference(fof_simplification,[status(thm)],[c_0_394]) ).

fof(c_0_834_835,plain,
    ! [X33,X13,X14,X3] :
      ( hAPP(hAPP(X33,X14),X13) = hAPP(hAPP(X33,X13),X14)
      | ~ c_OrderedGroup_Oab__semigroup__mult(X33,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_395]) ).

fof(c_0_835_836,plain,
    ! [X16,X15,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X15),X16) != c_Orderings_Otop__class_Otop(X3)
      | X16 = c_Orderings_Otop__class_Otop(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_396]) ).

fof(c_0_836_837,plain,
    ! [X16,X15,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X15),X16) != c_Orderings_Otop__class_Otop(X3)
      | X15 = c_Orderings_Otop__class_Otop(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_397]) ).

fof(c_0_837_838,plain,
    ! [X16,X15,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X15),X16) != c_Orderings_Obot__class_Obot(X3)
      | X15 = c_Orderings_Obot__class_Obot(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_398]) ).

fof(c_0_838_839,plain,
    ! [X16,X15,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X15),X16) != c_Orderings_Obot__class_Obot(X3)
      | X16 = c_Orderings_Obot__class_Obot(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_399]) ).

fof(c_0_839_840,plain,
    ! [X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_HOL_Oord__class_Oless(X6,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_400]) ).

fof(c_0_840_841,plain,
    ! [X6,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X6,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_401]) ).

fof(c_0_841_842,plain,
    ! [X6,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X6,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_402]) ).

fof(c_0_842_843,plain,
    ! [X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3) = c_Orderings_Otop__class_Otop(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_403]) ).

fof(c_0_843_844,plain,
    ! [X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) = c_Orderings_Obot__class_Obot(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_404]) ).

fof(c_0_844_845,plain,
    ! [X6,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),c_Orderings_Otop__class_Otop(X3)),X6) = c_Orderings_Otop__class_Otop(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_405]) ).

fof(c_0_845_846,plain,
    ! [X9] :
      ( ~ class_Orderings_Otop(X9)
      | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X9)),v_x) = c_Orderings_Otop__class_Otop(X9) ),
    inference(fof_simplification,[status(thm)],[c_0_406]) ).

fof(c_0_846_847,plain,
    ! [X6,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),c_Orderings_Obot__class_Obot(X3)),X6) = c_Orderings_Obot__class_Obot(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_407]) ).

fof(c_0_847_848,plain,
    ! [X9] :
      ( ~ class_Orderings_Obot(X9)
      | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X9)),v_x) = c_Orderings_Obot__class_Obot(X9) ),
    inference(fof_simplification,[status(thm)],[c_0_408]) ).

fof(c_0_848_849,plain,
    ! [X3] :
      ( ~ class_Finite__Set_Ofinite_Ofinite(X3)
      | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_409]) ).

fof(c_0_849_850,plain,
    ! [X6,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),c_Orderings_Otop__class_Otop(X3)),X6) = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_410]) ).

fof(c_0_850_851,plain,
    ! [X6,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),c_Orderings_Obot__class_Obot(X3)),X6) = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_411]) ).

fof(c_0_851_852,plain,
    ! [X6,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),c_Orderings_Otop__class_Otop(X3)) = c_Orderings_Otop__class_Otop(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_412]) ).

fof(c_0_852_853,plain,
    ! [X6,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),c_Orderings_Obot__class_Obot(X3)) = c_Orderings_Obot__class_Obot(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_413]) ).

fof(c_0_853_854,plain,
    ! [X6,X3] :
      ( ~ class_Orderings_Otop(X3)
      | c_lessequals(X6,c_Orderings_Otop__class_Otop(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_414]) ).

fof(c_0_854_855,plain,
    ! [X6,X3] :
      ( ~ class_Orderings_Obot(X3)
      | c_lessequals(c_Orderings_Obot__class_Obot(X3),X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_415]) ).

fof(c_0_855_856,plain,
    ! [X6,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),c_Orderings_Otop__class_Otop(X3)) = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_416]) ).

fof(c_0_856_857,plain,
    ! [X6,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),c_Orderings_Obot__class_Obot(X3)) = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_417]) ).

fof(c_0_857_858,plain,
    ! [X6,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X6,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_418]) ).

fof(c_0_858_859,plain,
    ! [X6,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X6,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_419]) ).

fof(c_0_859_860,plain,
    ! [X6,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X6),X6) = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_420]) ).

fof(c_0_860,plain,
    ! [X6,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X6),X6) = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_421]) ).

fof(c_0_861,plain,
    ! [X5,X4] :
      ( class_Finite__Set_Ofinite_Ofinite(tc_fun(X5,X4))
      | ~ class_Finite__Set_Ofinite_Ofinite(X4)
      | ~ class_Finite__Set_Ofinite_Ofinite(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_422]) ).

fof(c_0_862,plain,
    ! [X5,X4] :
      ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X5,X4))
      | ~ class_Complete__Lattice_Ocomplete__lattice(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_423]) ).

fof(c_0_863,plain,
    ! [X5,X4] :
      ( class_Lattices_Oupper__semilattice(tc_fun(X5,X4))
      | ~ class_Lattices_Olattice(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_424]) ).

fof(c_0_864,plain,
    ! [X5,X4] :
      ( class_Lattices_Olower__semilattice(tc_fun(X5,X4))
      | ~ class_Lattices_Olattice(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_425]) ).

fof(c_0_865,plain,
    ! [X5,X4] :
      ( class_Lattices_Odistrib__lattice(tc_fun(X5,X4))
      | ~ class_Lattices_Odistrib__lattice(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_426]) ).

fof(c_0_866,plain,
    ! [X5,X4] :
      ( class_Lattices_Obounded__lattice(tc_fun(X5,X4))
      | ~ class_Lattices_Obounded__lattice(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_427]) ).

fof(c_0_867,plain,
    ! [X5,X4] :
      ( class_Orderings_Opreorder(tc_fun(X5,X4))
      | ~ class_Orderings_Opreorder(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_428]) ).

fof(c_0_868,plain,
    ! [X5,X4] :
      ( class_Lattices_Olattice(tc_fun(X5,X4))
      | ~ class_Lattices_Olattice(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_429]) ).

fof(c_0_869,plain,
    ! [X5,X4] :
      ( class_Orderings_Oorder(tc_fun(X5,X4))
      | ~ class_Orderings_Oorder(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_430]) ).

fof(c_0_870,plain,
    ! [X5,X4] :
      ( class_Orderings_Otop(tc_fun(X5,X4))
      | ~ class_Orderings_Otop(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_431]) ).

fof(c_0_871,plain,
    ! [X5,X4] :
      ( class_Orderings_Obot(tc_fun(X5,X4))
      | ~ class_Orderings_Obot(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_432]) ).

fof(c_0_872,plain,
    ! [X5,X4] :
      ( class_HOL_Ominus(tc_fun(X5,X4))
      | ~ class_HOL_Ominus(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_433]) ).

fof(c_0_873,plain,
    ! [X5,X4] :
      ( class_HOL_Oord(tc_fun(X5,X4))
      | ~ class_HOL_Oord(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_434]) ).

fof(c_0_874,plain,
    ! [X15,X3] :
      ( ~ class_Finite__Set_Ofinite_Ofinite(X3)
      | c_Finite__Set_Ofinite(X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_435]) ).

fof(c_0_875,plain,
    ! [X4] :
      ( class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(X4))
      | ~ class_Finite__Set_Ofinite_Ofinite(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_436]) ).

fof(c_0_876,axiom,
    ! [X34,X6] :
      ( c_Suc(X6) != c_Suc(X34)
      | X6 = X34 ),
    c_0_437 ).

fof(c_0_877,axiom,
    ! [X57,X58] :
      ( c_Suc(X58) != c_Suc(X57)
      | X58 = X57 ),
    c_0_438 ).

fof(c_0_878,plain,
    ! [X33,X34,X35,X36,X37,X38,X39,X40,X41] :
      ( c_Complete__Lattice_Ocomplete__lattice(X39,X40,c_COMBC(X35,X41,X41,tc_bool),c_COMBC(X36,X41,X41,tc_bool),X34,X37,X33,X38,X41)
      | ~ c_Complete__Lattice_Ocomplete__lattice(X40,X39,X35,X36,X37,X34,X38,X33,X41) ),
    inference(variable_rename,[status(thm)],[c_0_439]) ).

fof(c_0_879,plain,
    ! [X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43] :
      ( hAPP(hAPP(X34,X41),hAPP(X39,X42)) = c_Finite__Set_Ofold(X34,X41,X42,X43,X43)
      | ~ c_Finite__Set_Ofinite(X42,X43)
      | ~ c_Complete__Lattice_Ocomplete__lattice(X40,X39,X35,X36,X37,X34,X38,X33,X43) ),
    inference(variable_rename,[status(thm)],[c_0_440]) ).

fof(c_0_880,plain,
    ! [X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43] :
      ( hAPP(hAPP(X37,X41),hAPP(X40,X42)) = c_Finite__Set_Ofold(X37,X41,X42,X43,X43)
      | ~ c_Finite__Set_Ofinite(X42,X43)
      | ~ c_Complete__Lattice_Ocomplete__lattice(X40,X39,X35,X36,X37,X34,X38,X33,X43) ),
    inference(variable_rename,[status(thm)],[c_0_441]) ).

fof(c_0_881,plain,
    ! [X33,X34,X35,X36,X37,X38,X39,X40,X41,X42] :
      ( hAPP(X39,X41) = c_Finite__Set_Ofold(X34,X38,X41,X42,X42)
      | ~ c_Finite__Set_Ofinite(X41,X42)
      | ~ c_Complete__Lattice_Ocomplete__lattice(X40,X39,X35,X36,X37,X34,X38,X33,X42) ),
    inference(variable_rename,[status(thm)],[c_0_442]) ).

fof(c_0_882,plain,
    ! [X33,X34,X35,X36,X37,X38,X39,X40,X41,X42] :
      ( hAPP(X40,X41) = c_Finite__Set_Ofold(X37,X33,X41,X42,X42)
      | ~ c_Finite__Set_Ofinite(X41,X42)
      | ~ c_Complete__Lattice_Ocomplete__lattice(X40,X39,X35,X36,X37,X34,X38,X33,X42) ),
    inference(variable_rename,[status(thm)],[c_0_443]) ).

fof(c_0_883,plain,
    ! [X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43] :
      ( hAPP(X41,c_Set_Oinsert(X40,c_Set_Oinsert(X39,c_Orderings_Obot__class_Obot(tc_fun(X43,tc_bool)),X43),X43)) = hAPP(hAPP(X34,X40),X39)
      | ~ c_Complete__Lattice_Ocomplete__lattice(X42,X41,X35,X36,X37,X34,X38,X33,X43) ),
    inference(variable_rename,[status(thm)],[c_0_444]) ).

fof(c_0_884,plain,
    ! [X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43] :
      ( hAPP(X42,c_Set_Oinsert(X40,c_Set_Oinsert(X39,c_Orderings_Obot__class_Obot(tc_fun(X43,tc_bool)),X43),X43)) = hAPP(hAPP(X37,X40),X39)
      | ~ c_Complete__Lattice_Ocomplete__lattice(X42,X41,X35,X36,X37,X34,X38,X33,X43) ),
    inference(variable_rename,[status(thm)],[c_0_445]) ).

fof(c_0_885,plain,
    ! [X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43] :
      ( hBOOL(hAPP(hAPP(X36,hAPP(X41,X42)),X33))
      | ~ hBOOL(hAPP(hAPP(c_in(X43),X33),X42))
      | ~ c_Complete__Lattice_Ocomplete__lattice(X41,X40,X36,X37,X38,X35,X39,X34,X43) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_446])])]) ).

fof(c_0_886,plain,
    ! [X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43] :
      ( hBOOL(hAPP(hAPP(X36,X33),hAPP(X40,X42)))
      | ~ hBOOL(hAPP(hAPP(c_in(X43),X33),X42))
      | ~ c_Complete__Lattice_Ocomplete__lattice(X41,X40,X36,X37,X38,X35,X39,X34,X43) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_447])])]) ).

fof(c_0_887,plain,
    ! [X33,X34,X35,X36,X37,X38,X39,X40,X41,X42] :
      ( hAPP(X40,c_Set_Oinsert(X39,c_Orderings_Obot__class_Obot(tc_fun(X42,tc_bool)),X42)) = X39
      | ~ c_Complete__Lattice_Ocomplete__lattice(X41,X40,X35,X36,X37,X34,X38,X33,X42) ),
    inference(variable_rename,[status(thm)],[c_0_448]) ).

fof(c_0_888,plain,
    ! [X33,X34,X35,X36,X37,X38,X39,X40,X41,X42] :
      ( hAPP(X41,c_Set_Oinsert(X39,c_Orderings_Obot__class_Obot(tc_fun(X42,tc_bool)),X42)) = X39
      | ~ c_Complete__Lattice_Ocomplete__lattice(X41,X40,X35,X36,X37,X34,X38,X33,X42) ),
    inference(variable_rename,[status(thm)],[c_0_449]) ).

fof(c_0_889,plain,
    ! [X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43] :
      ( hAPP(X40,c_Set_Oinsert(X39,X42,X43)) = hAPP(hAPP(X34,X39),hAPP(X40,X42))
      | ~ c_Complete__Lattice_Ocomplete__lattice(X41,X40,X35,X36,X37,X34,X38,X33,X43) ),
    inference(variable_rename,[status(thm)],[c_0_450]) ).

fof(c_0_890,plain,
    ! [X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43] :
      ( hAPP(X41,c_Set_Oinsert(X39,X42,X43)) = hAPP(hAPP(X37,X39),hAPP(X41,X42))
      | ~ c_Complete__Lattice_Ocomplete__lattice(X41,X40,X35,X36,X37,X34,X38,X33,X43) ),
    inference(variable_rename,[status(thm)],[c_0_451]) ).

fof(c_0_891,plain,
    ! [X33,X34,X35,X36,X37,X38,X39,X40,X41] :
      ( hAPP(X39,c_Orderings_Otop__class_Otop(tc_fun(X41,tc_bool))) = X33
      | ~ c_Complete__Lattice_Ocomplete__lattice(X40,X39,X35,X36,X37,X34,X38,X33,X41) ),
    inference(variable_rename,[status(thm)],[c_0_452]) ).

fof(c_0_892,plain,
    ! [X33,X34,X35,X36,X37,X38,X39,X40,X41] :
      ( hAPP(X40,c_Orderings_Otop__class_Otop(tc_fun(X41,tc_bool))) = X38
      | ~ c_Complete__Lattice_Ocomplete__lattice(X40,X39,X35,X36,X37,X34,X38,X33,X41) ),
    inference(variable_rename,[status(thm)],[c_0_453]) ).

fof(c_0_893,plain,
    ! [X33,X34,X35,X36,X37,X38,X39,X40,X41] :
      ( hAPP(X40,c_Orderings_Obot__class_Obot(tc_fun(X41,tc_bool))) = X33
      | ~ c_Complete__Lattice_Ocomplete__lattice(X40,X39,X35,X36,X37,X34,X38,X33,X41) ),
    inference(variable_rename,[status(thm)],[c_0_454]) ).

fof(c_0_894,plain,
    ! [X33,X34,X35,X36,X37,X38,X39,X40,X41] :
      ( hAPP(X39,c_Orderings_Obot__class_Obot(tc_fun(X41,tc_bool))) = X38
      | ~ c_Complete__Lattice_Ocomplete__lattice(X40,X39,X35,X36,X37,X34,X38,X33,X41) ),
    inference(variable_rename,[status(thm)],[c_0_455]) ).

fof(c_0_895,plain,
    ! [X40,X41,X42,X43,X44,X45,X46] :
      ( c_Finite__Set_Ofold__image(X41,X42,X40,c_Set_Oinsert(X43,X44,X45),X46,X45) = hAPP(hAPP(X41,hAPP(X42,X43)),c_Finite__Set_Ofold__image(X41,X42,X40,X44,X46,X45))
      | hBOOL(hAPP(hAPP(c_in(X45),X43),X44))
      | ~ c_Finite__Set_Ofinite(X44,X45)
      | ~ c_OrderedGroup_Oab__semigroup__mult(X41,X46) ),
    inference(variable_rename,[status(thm)],[c_0_456]) ).

fof(c_0_896,plain,
    ! [X34,X35,X36,X37,X38,X39] :
      ( c_Finite__Set_Ofold__graph(X35,X37,c_Set_Oinsert(X36,c_HOL_Ominus__class_Ominus(X38,c_Set_Oinsert(X37,c_Orderings_Obot__class_Obot(tc_fun(X39,tc_bool)),X39),tc_fun(X39,tc_bool)),X39),X34,X39,X39)
      | hBOOL(hAPP(hAPP(c_in(X39),X36),X38))
      | ~ hBOOL(hAPP(hAPP(c_in(X39),X37),X38))
      | ~ c_Finite__Set_Ofold__graph(X35,X36,X38,X34,X39,X39)
      | ~ c_OrderedGroup_Oab__semigroup__mult(X35,X39) ),
    inference(variable_rename,[status(thm)],[c_0_457]) ).

fof(c_0_897,plain,
    ! [X35,X36,X37,X38,X39,X40,X41] :
      ( c_Finite__Set_Ofold__graph(X38,X35,X39,hAPP(hAPP(X38,X37),X36),X41,X40)
      | ~ hBOOL(hAPP(hAPP(c_in(X41),X37),X39))
      | ~ c_Finite__Set_Ofold__graph(X38,X35,c_HOL_Ominus__class_Ominus(X39,c_Set_Oinsert(X37,c_Orderings_Obot__class_Obot(tc_fun(X41,tc_bool)),X41),tc_fun(X41,tc_bool)),X36,X41,X40) ),
    inference(variable_rename,[status(thm)],[c_0_458]) ).

fof(c_0_898,plain,
    ! [X35,X36,X37,X38,X39,X40,X41] :
      ( c_Nitpick_Ofold__graph_H(X38,X35,X39,hAPP(hAPP(X38,X37),X36),X41,X40)
      | ~ c_Nitpick_Ofold__graph_H(X38,X35,c_HOL_Ominus__class_Ominus(X39,c_Set_Oinsert(X37,c_Orderings_Obot__class_Obot(tc_fun(X41,tc_bool)),X41),tc_fun(X41,tc_bool)),X36,X41,X40)
      | ~ hBOOL(hAPP(hAPP(c_in(X41),X37),X39)) ),
    inference(variable_rename,[status(thm)],[c_0_459]) ).

fof(c_0_899,plain,
    ! [X35,X36,X37,X38,X39,X40] :
      ( c_Finite__Set_Ofold__graph(X37,X35,c_Set_Oinsert(X38,X39,X40),hAPP(hAPP(X37,X35),X36),X40,X40)
      | hBOOL(hAPP(hAPP(c_in(X40),X38),X39))
      | ~ c_Finite__Set_Ofold__graph(X37,X38,X39,X36,X40,X40)
      | ~ c_OrderedGroup_Oab__semigroup__mult(X37,X40) ),
    inference(variable_rename,[status(thm)],[c_0_460]) ).

fof(c_0_900,plain,
    ! [X35,X36,X37,X38,X39,X40,X41] :
      ( c_Finite__Set_Ofold__graph(X38,X35,c_Set_Oinsert(X37,X39,X41),hAPP(hAPP(X38,X37),X36),X41,X40)
      | ~ c_Finite__Set_Ofold__graph(X38,X35,X39,X36,X41,X40)
      | hBOOL(hAPP(hAPP(c_in(X41),X37),X39)) ),
    inference(variable_rename,[status(thm)],[c_0_461]) ).

fof(c_0_901,plain,
    ! [X57,X58,X59,X60,X61,X62,X63,X64] :
      ( c_Finite__Set_Ofold__image(X58,X60,X57,c_Set_Oimage(X59,X61,X63,X62),X64,X62) = c_Finite__Set_Ofold__image(X58,c_Fun_Ocomp(X60,X59,X62,X64,X63),X57,X61,X64,X63)
      | ~ c_Fun_Oinj__on(X59,X61,X63,X62)
      | ~ c_Finite__Set_Ofinite(X61,X63)
      | ~ c_OrderedGroup_Oab__semigroup__mult(X58,X64) ),
    inference(variable_rename,[status(thm)],[c_0_462]) ).

fof(c_0_902,plain,
    ! [X22,X23,X24,X25,X26] :
      ( c_Finite__Set_Ofold1Set(X23,c_Set_Oinsert(X24,X25,X26),X22,X26)
      | hBOOL(hAPP(hAPP(c_in(X26),X24),X25))
      | ~ c_Finite__Set_Ofold__graph(X23,X24,X25,X22,X26,X26) ),
    inference(variable_rename,[status(thm)],[c_0_463]) ).

fof(c_0_903,plain,
    ! [X23,X24,X25,X26,X27] :
      ( X24 = X23
      | ~ c_Finite__Set_Ofold__graph(X25,X23,c_Orderings_Obot__class_Obot(tc_fun(X27,tc_bool)),X24,X27,X26) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_464])])]) ).

fof(c_0_904,plain,
    ! [X23,X24,X25,X26,X27,X28] :
      ( c_Finite__Set_Ofinite(X26,X28)
      | ~ c_Finite__Set_Ofold__graph(X25,X23,X26,X24,X28,X27) ),
    inference(variable_rename,[status(thm)],[c_0_465]) ).

fof(c_0_905,plain,
    ! [X22,X23,X24,X25,X26] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X25),hAPP(X22,X23)),c_Set_Oimage(X22,c_HOL_Ominus__class_Ominus(X24,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X26,tc_bool)),X26),tc_fun(X26,tc_bool)),X26,X25)))
      | ~ c_Fun_Oinj__on(X22,c_Set_Oinsert(X23,X24,X26),X26,X25) ),
    inference(variable_rename,[status(thm)],[c_0_466]) ).

fof(c_0_906,plain,
    ! [X22,X23,X24,X25,X26] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X25,tc_bool)),c_Set_Oimage(X22,c_HOL_Ominus__class_Ominus(X24,X23,tc_fun(X26,tc_bool)),X26,X25)),c_Set_Oimage(X22,c_HOL_Ominus__class_Ominus(X23,X24,tc_fun(X26,tc_bool)),X26,X25)) != c_Orderings_Obot__class_Obot(tc_fun(X25,tc_bool))
      | ~ c_Fun_Oinj__on(X22,X23,X26,X25)
      | ~ c_Fun_Oinj__on(X22,X24,X26,X25)
      | c_Fun_Oinj__on(X22,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X26,tc_bool)),X24),X23),X26,X25) ),
    inference(variable_rename,[status(thm)],[c_0_467]) ).

fof(c_0_907,plain,
    ! [X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55] :
      ( hAPP(X50,hAPP(X48,X46)) != hAPP(X49,hAPP(X47,X45))
      | hAPP(c_Fun_Ocomp(X50,X48,X54,X55,X53),X46) = hAPP(c_Fun_Ocomp(X49,X47,X52,X55,X51),X45) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_468])])]) ).

fof(c_0_908,plain,
    ! [X45,X46,X47,X48,X49,X50] :
      ( c_Fun_Oinj__on(X45,c_Set_Oimage(X46,X47,X50,X48),X48,X49)
      | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X45,X46,X48,X49,X50),X47,X50,X49) ),
    inference(variable_rename,[status(thm)],[c_0_469]) ).

fof(c_0_909,plain,
    ! [X22,X23,X24,X25,X26] :
      ( c_Fun_Oinj__on(X22,c_Set_Oinsert(X23,X24,X26),X26,X25)
      | hBOOL(hAPP(hAPP(c_in(X25),hAPP(X22,X23)),c_Set_Oimage(X22,c_HOL_Ominus__class_Ominus(X24,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X26,tc_bool)),X26),tc_fun(X26,tc_bool)),X26,X25)))
      | ~ c_Fun_Oinj__on(X22,X24,X26,X25) ),
    inference(variable_rename,[status(thm)],[c_0_470]) ).

fof(c_0_910,plain,
    ! [X45,X46,X47,X48,X49,X50] :
      ( c_Fun_Oinj__on(c_Fun_Ocomp(X45,X46,X49,X48,X50),X47,X50,X48)
      | ~ c_Fun_Oinj__on(X45,c_Set_Oimage(X46,X47,X50,X49),X49,X48)
      | ~ c_Fun_Oinj__on(X46,X47,X50,X49) ),
    inference(variable_rename,[status(thm)],[c_0_471]) ).

fof(c_0_911,plain,
    ! [X46,X47,X48,X49,X50,X51,X52,X53,X54] :
      ( c_Fun_Ocomp(X50,X49,X52,X53,X54) != c_Fun_Ocomp(X48,X47,X51,X53,X54)
      | hAPP(X50,hAPP(X49,X46)) = hAPP(X48,hAPP(X47,X46)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_472])])]) ).

fof(c_0_912,plain,
    ! [X46,X47,X48,X49,X50,X51,X52] :
      ( c_Fun_Ocomp(X49,X48,X50,X51,X52) != c_Fun_Ocomp(c_Fun_Oid(X51),X47,X51,X51,X52)
      | hAPP(X49,hAPP(X48,X46)) = hAPP(X47,X46) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_473])])]) ).

fof(c_0_913,plain,
    ! [X16,X17,X18,X19] :
      ( ~ class_Lattices_Olower__semilattice(X19)
      | c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X19),X16,c_Set_Oinsert(X17,X18,X19),X19,X19) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X19),X17),c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X19),X16,X18,X19,X19))
      | ~ c_Finite__Set_Ofinite(X18,X19) ),
    inference(variable_rename,[status(thm)],[c_0_474]) ).

fof(c_0_914,plain,
    ! [X16,X17,X18,X19] :
      ( ~ class_Lattices_Oupper__semilattice(X19)
      | c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X19),X16,c_Set_Oinsert(X17,X18,X19),X19,X19) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X19),X17),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X19),X16,X18,X19,X19))
      | ~ c_Finite__Set_Ofinite(X18,X19) ),
    inference(variable_rename,[status(thm)],[c_0_475]) ).

fof(c_0_915,plain,
    ! [X49,X50,X51] :
      ( c_lessequals(X50,X49,tc_fun(X51,tc_bool))
      | ~ c_lessequals(hAPP(c_COMBC(c_in(X51),X51,tc_fun(X51,tc_bool),tc_bool),X50),hAPP(c_COMBC(c_in(X51),X51,tc_fun(X51,tc_bool),tc_bool),X49),tc_fun(X51,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_476]) ).

fof(c_0_916,plain,
    ! [X22,X23,X24,X25,X26] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X25,tc_bool)),c_Set_Oimage(X22,c_HOL_Ominus__class_Ominus(X24,X23,tc_fun(X26,tc_bool)),X26,X25)),c_Set_Oimage(X22,c_HOL_Ominus__class_Ominus(X23,X24,tc_fun(X26,tc_bool)),X26,X25)) = c_Orderings_Obot__class_Obot(tc_fun(X25,tc_bool))
      | ~ c_Fun_Oinj__on(X22,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X26,tc_bool)),X24),X23),X26,X25) ),
    inference(variable_rename,[status(thm)],[c_0_477]) ).

fof(c_0_917,plain,
    ! [X22,X23,X24,X25,X26] :
      ( hAPP(X22,X24) = X23
      | ~ hBOOL(hAPP(hAPP(c_in(X26),X24),c_Set_Ovimage(X22,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X25,tc_bool)),X25),X26,X25))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_478])])]) ).

fof(c_0_918,plain,
    ! [X37,X38,X39,X40,X41,X42] :
      ( c_Set_Oimage(X37,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X42,tc_bool)),X40),X39),X42,X41) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X41,tc_bool)),c_Set_Oimage(X37,X40,X42,X41)),c_Set_Oimage(X37,X39,X42,X41))
      | ~ c_lessequals(X39,X38,tc_fun(X42,tc_bool))
      | ~ c_lessequals(X40,X38,tc_fun(X42,tc_bool))
      | ~ c_Fun_Oinj__on(X37,X38,X42,X41) ),
    inference(variable_rename,[status(thm)],[c_0_479]) ).

fof(c_0_919,plain,
    ! [X16,X17,X18,X19] :
      ( ~ class_Lattices_Oupper__semilattice(X19)
      | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X19),X17),X16),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X19),X16,X18,X19,X19),X19)
      | ~ hBOOL(hAPP(hAPP(c_in(X19),X17),X18))
      | ~ c_Finite__Set_Ofinite(X18,X19) ),
    inference(variable_rename,[status(thm)],[c_0_480]) ).

fof(c_0_920,plain,
    ! [X16,X17,X18,X19] :
      ( ~ class_Lattices_Olower__semilattice(X19)
      | c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X19),X16,X18,X19,X19),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X19),X17),X16),X19)
      | ~ hBOOL(hAPP(hAPP(c_in(X19),X17),X18))
      | ~ c_Finite__Set_Ofinite(X18,X19) ),
    inference(variable_rename,[status(thm)],[c_0_481]) ).

fof(c_0_921,plain,
    ! [X22,X23,X24,X25,X26] :
      ( c_Set_Oimage(X22,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X26,tc_bool)),X24),X23),X26,X25) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X25,tc_bool)),c_Set_Oimage(X22,X24,X26,X25)),c_Set_Oimage(X22,X23,X26,X25))
      | ~ c_Fun_Oinj__on(X22,c_Orderings_Otop__class_Otop(tc_fun(X26,tc_bool)),X26,X25) ),
    inference(variable_rename,[status(thm)],[c_0_482]) ).

fof(c_0_922,plain,
    ! [X40,X41,X42,X43,X44,X45] :
      ( hAPP(c_Fun_Ooverride__on(X41,X40,X43,X45,X44),X42) = hAPP(X40,X42)
      | ~ hBOOL(hAPP(hAPP(c_in(X45),X42),X43)) ),
    inference(variable_rename,[status(thm)],[c_0_483]) ).

fof(c_0_923,plain,
    ! [X40,X41,X42,X43,X44,X45] :
      ( hAPP(c_Fun_Ooverride__on(X41,X40,X43,X45,X44),X42) = hAPP(X41,X42)
      | hBOOL(hAPP(hAPP(c_in(X45),X42),X43)) ),
    inference(variable_rename,[status(thm)],[c_0_484]) ).

fof(c_0_924,plain,
    ! [X22,X23,X24,X25,X26] :
      ( hBOOL(hAPP(hAPP(c_in(X26),X23),X24))
      | ~ hBOOL(hAPP(hAPP(c_in(X25),hAPP(X22,X23)),c_Set_Oimage(X22,X24,X26,X25)))
      | ~ c_Fun_Oinj__on(X22,c_Orderings_Otop__class_Otop(tc_fun(X26,tc_bool)),X26,X25) ),
    inference(variable_rename,[status(thm)],[c_0_485]) ).

fof(c_0_925,plain,
    ! [X49,X50,X51] :
      ( c_lessequals(hAPP(c_COMBC(c_in(X51),X51,tc_fun(X51,tc_bool),tc_bool),X50),hAPP(c_COMBC(c_in(X51),X51,tc_fun(X51,tc_bool),tc_bool),X49),tc_fun(X51,tc_bool))
      | ~ c_lessequals(X50,X49,tc_fun(X51,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_486]) ).

fof(c_0_926,plain,
    ! [X17,X18,X19,X20] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X20,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X18,X17,X19,tc_fun(X20,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X19),c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1(X18,X17,X19,X20)),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_487]) ).

fof(c_0_927,plain,
    ! [X17,X18,X19,X20] :
      ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X18,X17,X19,tc_fun(X20,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X20,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X19),c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1(X18,X17,X19,X20)),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_488]) ).

fof(c_0_928,plain,
    ! [X22,X23,X24,X25,X26] :
      ( c_lessequals(X24,X23,tc_fun(X26,tc_bool))
      | ~ c_lessequals(c_Set_Oimage(X22,X24,X26,X25),c_Set_Oimage(X22,X23,X26,X25),tc_fun(X25,tc_bool))
      | ~ c_Fun_Oinj__on(X22,c_Orderings_Otop__class_Otop(tc_fun(X26,tc_bool)),X26,X25) ),
    inference(variable_rename,[status(thm)],[c_0_489]) ).

fof(c_0_929,plain,
    ! [X37,X38,X39,X40,X41,X42] :
      ( c_Set_Oimage(X37,c_HOL_Ominus__class_Ominus(X40,X39,tc_fun(X42,tc_bool)),X42,X41) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X37,X40,X42,X41),c_Set_Oimage(X37,X39,X42,X41),tc_fun(X41,tc_bool))
      | ~ c_lessequals(X39,X38,tc_fun(X42,tc_bool))
      | ~ c_lessequals(X40,X38,tc_fun(X42,tc_bool))
      | ~ c_Fun_Oinj__on(X37,X38,X42,X41) ),
    inference(variable_rename,[status(thm)],[c_0_490]) ).

fof(c_0_930,plain,
    ! [X22,X23,X24,X25,X26] :
      ( c_lessequals(c_Set_Ovimage(X22,X23,X26,X25),X24,tc_fun(X26,tc_bool))
      | ~ c_lessequals(X23,c_Set_Oimage(X22,X24,X26,X25),tc_fun(X25,tc_bool))
      | ~ c_Fun_Oinj__on(X22,c_Orderings_Otop__class_Otop(tc_fun(X26,tc_bool)),X26,X25) ),
    inference(variable_rename,[status(thm)],[c_0_491]) ).

fof(c_0_931,plain,
    ! [X22,X23,X24,X25,X26] :
      ( c_Set_Oimage(X22,c_HOL_Ominus__class_Ominus(X24,X23,tc_fun(X26,tc_bool)),X26,X25) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X22,X24,X26,X25),c_Set_Oimage(X22,X23,X26,X25),tc_fun(X25,tc_bool))
      | ~ c_Fun_Oinj__on(X22,c_Orderings_Otop__class_Otop(tc_fun(X26,tc_bool)),X26,X25) ),
    inference(variable_rename,[status(thm)],[c_0_492]) ).

fof(c_0_932,plain,
    ! [X22,X23,X24,X25,X26] :
      ( hBOOL(hAPP(hAPP(c_in(X25),hAPP(X22,X23)),X24))
      | ~ hBOOL(hAPP(hAPP(c_in(X26),X23),c_Set_Ovimage(X22,X24,X26,X25))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_493])])]) ).

fof(c_0_933,plain,
    ! [X22,X23,X24,X25,X26] :
      ( hBOOL(hAPP(hAPP(c_in(X25),hAPP(X22,X23)),X24))
      | ~ hBOOL(hAPP(hAPP(c_in(X26),X23),c_Set_Ovimage(X22,X24,X26,X25))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_494])])]) ).

fof(c_0_934,plain,
    ! [X37,X38,X39,X40] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X40,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X40,tc_bool)),X39),X38)),X37) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X40,tc_bool)),X39),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X40,tc_bool)),X38),X37))
      | c_lessequals(X37,X39,tc_fun(X40,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_495]) ).

fof(c_0_935,plain,
    ! [X22,X23,X24,X25,X26] :
      ( hBOOL(hAPP(hAPP(c_in(X25),hAPP(X22,X23)),c_Set_Oimage(X22,X24,X26,X25)))
      | ~ hBOOL(hAPP(hAPP(c_in(X26),X23),X24))
      | ~ c_Fun_Oinj__on(X22,c_Orderings_Otop__class_Otop(tc_fun(X26,tc_bool)),X26,X25) ),
    inference(variable_rename,[status(thm)],[c_0_496]) ).

fof(c_0_936,plain,
    ! [X49,X50,X51] :
      ( hAPP(c_COMBC(c_in(X51),X51,tc_fun(X51,tc_bool),tc_bool),X50) != hAPP(c_COMBC(c_in(X51),X51,tc_fun(X51,tc_bool),tc_bool),X49)
      | X50 = X49 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_497])])]) ).

fof(c_0_937,plain,
    ! [X22,X23,X24,X25,X26] :
      ( hBOOL(hAPP(X24,hAPP(X23,X22)))
      | ~ hBOOL(hAPP(c_Set_Ovimage(X23,X24,X26,X25),X22)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_498])])]) ).

fof(c_0_938,plain,
    ! [X22,X23,X24,X25,X26] :
      ( c_lessequals(c_Set_Oimage(X22,X24,X26,X25),c_Set_Oimage(X22,X23,X26,X25),tc_fun(X25,tc_bool))
      | ~ c_lessequals(X24,X23,tc_fun(X26,tc_bool))
      | ~ c_Fun_Oinj__on(X22,c_Orderings_Otop__class_Otop(tc_fun(X26,tc_bool)),X26,X25) ),
    inference(variable_rename,[status(thm)],[c_0_499]) ).

fof(c_0_939,plain,
    ! [X22,X23,X24,X25,X26] :
      ( c_Set_Oimage(X22,X24,X26,X25) != c_Set_Oimage(X22,X23,X26,X25)
      | ~ c_Fun_Oinj__on(X22,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X26,tc_bool)),X24),X23),X26,X25)
      | X24 = X23 ),
    inference(variable_rename,[status(thm)],[c_0_500]) ).

fof(c_0_940,plain,
    ! [X17,X18,X19,X20,X21,X22] :
      ( hBOOL(hAPP(hAPP(c_in(X22),X18),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X20,X19,X21,tc_fun(X22,tc_bool))))
      | ~ hBOOL(hAPP(hAPP(c_in(X22),X18),hAPP(X19,X17)))
      | ~ hBOOL(hAPP(hAPP(c_in(X21),X17),X20)) ),
    inference(variable_rename,[status(thm)],[c_0_501]) ).

fof(c_0_941,plain,
    ! [X17,X18,X19,X20,X21,X22] :
      ( hBOOL(hAPP(hAPP(c_in(X21),X17),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X20,X19,X22,tc_fun(X21,tc_bool))))
      | ~ hBOOL(hAPP(hAPP(c_in(X21),X17),hAPP(X19,X18)))
      | ~ hBOOL(hAPP(hAPP(c_in(X22),X18),X20)) ),
    inference(variable_rename,[status(thm)],[c_0_502]) ).

fof(c_0_942,plain,
    ! [X22,X23,X24] :
      ( c_Set_Oimage(X22,X23,X24,X24) = X23
      | ~ c_Fun_Oinj__on(X22,X23,X24,X24)
      | ~ c_lessequals(c_Set_Oimage(X22,X23,X24,X24),X23,tc_fun(X24,tc_bool))
      | ~ c_Finite__Set_Ofinite(X23,X24) ),
    inference(variable_rename,[status(thm)],[c_0_503]) ).

fof(c_0_943,plain,
    ! [X17,X18,X19,X20] :
      ( c_HOL_Oord__class_Oless(X19,c_Set_Oinsert(X17,X18,X20),tc_fun(X20,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X20),X17),X19))
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X19,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X20,tc_bool)),X20),tc_fun(X20,tc_bool)),X18,tc_fun(X20,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X19,X18,tc_fun(X20,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_504]) ).

fof(c_0_944,plain,
    ! [X17,X18,X19,X20] :
      ( c_HOL_Oord__class_Oless(X19,c_Set_Oinsert(X17,X18,X20),tc_fun(X20,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X20),X17),X19))
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X19,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X20,tc_bool)),X20),tc_fun(X20,tc_bool)),X18,tc_fun(X20,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X20),X17),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_505]) ).

fof(c_0_945,plain,
    ! [X17,X18,X19,X20] :
      ( c_HOL_Oord__class_Oless(X19,c_Set_Oinsert(X17,X18,X20),tc_fun(X20,tc_bool))
      | ~ c_lessequals(X19,X18,tc_fun(X20,tc_bool))
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X19,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X20,tc_bool)),X20),tc_fun(X20,tc_bool)),X18,tc_fun(X20,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X19,X18,tc_fun(X20,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_506]) ).

fof(c_0_946,plain,
    ! [X17,X18,X19,X20] :
      ( c_HOL_Oord__class_Oless(X19,c_Set_Oinsert(X17,X18,X20),tc_fun(X20,tc_bool))
      | ~ c_lessequals(X19,X18,tc_fun(X20,tc_bool))
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X19,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X20,tc_bool)),X20),tc_fun(X20,tc_bool)),X18,tc_fun(X20,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X20),X17),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_507]) ).

fof(c_0_947,plain,
    ! [X22,X23,X24,X25,X26] :
      ( hBOOL(hAPP(hAPP(c_in(X26),X23),c_Set_Ovimage(X22,X24,X26,X25)))
      | ~ hBOOL(hAPP(hAPP(c_in(X25),hAPP(X22,X23)),X24)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_508])])]) ).

fof(c_0_948,plain,
    ! [X22,X23,X24,X25,X26] :
      ( hBOOL(hAPP(hAPP(c_in(X25),X23),c_Set_Ovimage(X22,X24,X25,X26)))
      | ~ hBOOL(hAPP(hAPP(c_in(X26),hAPP(X22,X23)),X24)) ),
    inference(variable_rename,[status(thm)],[c_0_509]) ).

fof(c_0_949,plain,
    ! [X22,X23,X24,X25,X26] :
      ( hBOOL(hAPP(hAPP(c_in(X25),X23),c_Set_Ovimage(X22,X24,X25,X26)))
      | ~ hBOOL(hAPP(hAPP(c_in(X26),hAPP(X22,X23)),X24)) ),
    inference(variable_rename,[status(thm)],[c_0_510]) ).

fof(c_0_950,plain,
    ! [X17,X18,X19,X20,X21,X22] :
      ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X20,X19,X22,tc_fun(X21,tc_bool)),X18))
      | ~ hBOOL(hAPP(hAPP(X19,X17),X18))
      | ~ hBOOL(hAPP(hAPP(c_in(X22),X17),X20)) ),
    inference(variable_rename,[status(thm)],[c_0_511]) ).

fof(c_0_951,plain,
    ! [X17,X18,X19,X20,X21,X22] :
      ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X20,X19,X22,tc_fun(X21,tc_bool)),X17))
      | ~ hBOOL(hAPP(hAPP(X19,X18),X17))
      | ~ hBOOL(hAPP(hAPP(c_in(X22),X18),X20)) ),
    inference(variable_rename,[status(thm)],[c_0_512]) ).

fof(c_0_952,plain,
    ! [X17,X18,X19,X20] :
      ( c_lessequals(X19,c_Set_Oinsert(X17,X18,X20),tc_fun(X20,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X20),X17),X19))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X19,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X20,tc_bool)),X20),tc_fun(X20,tc_bool)),X18,tc_fun(X20,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_513]) ).

fof(c_0_953,plain,
    ! [X17,X18,X19,X20] :
      ( c_lessequals(X19,c_Set_Oinsert(X17,X18,X20),tc_fun(X20,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X20),X17),X19))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X19,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X20,tc_bool)),X20),tc_fun(X20,tc_bool)),X18,tc_fun(X20,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_514]) ).

fof(c_0_954,plain,
    ! [X48,X49,X50,X51,X52] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X51),X48),X50))
      | hBOOL(hAPP(hAPP(c_in(X52),hAPP(X49,X48)),c_Set_Oimage(X49,X50,X51,X52))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_515])])]) ).

fof(c_0_955,plain,
    ! [X22,X23,X24,X25,X26] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X25),X22),X24))
      | hBOOL(hAPP(hAPP(c_in(X26),hAPP(X23,X22)),c_Set_Oimage(X23,X24,X25,X26))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_516])])]) ).

fof(c_0_956,plain,
    ! [X22,X23,X24,X25,X26] :
      ( hBOOL(hAPP(hAPP(c_in(X26),hAPP(X23,X22)),c_Set_Oimage(X23,X24,X25,X26)))
      | ~ hBOOL(hAPP(hAPP(c_in(X25),X22),X24)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_517])])]) ).

fof(c_0_957,plain,
    ! [X22,X23,X24,X25,X26] :
      ( hBOOL(hAPP(hAPP(c_in(X25),hAPP(X23,X22)),c_Set_Oimage(X23,X24,X26,X25)))
      | ~ hBOOL(hAPP(hAPP(c_in(X26),X22),X24)) ),
    inference(variable_rename,[status(thm)],[c_0_518]) ).

fof(c_0_958,plain,
    ! [X16,X17,X18,X19] :
      ( hBOOL(hAPP(hAPP(c_in(X19),X16),X18))
      | ~ hBOOL(hAPP(hAPP(c_in(X19),X16),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X19,tc_bool)),X18),c_Collect(X17,X19)))) ),
    inference(variable_rename,[status(thm)],[c_0_519]) ).

fof(c_0_959,plain,
    ! [X17,X18,X19,X20] :
      ( c_lessequals(X19,c_Set_Oinsert(X17,X18,X20),tc_fun(X20,tc_bool))
      | ~ c_lessequals(X19,X18,tc_fun(X20,tc_bool))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X19,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X20,tc_bool)),X20),tc_fun(X20,tc_bool)),X18,tc_fun(X20,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_520]) ).

fof(c_0_960,plain,
    ! [X17,X18,X19] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X19)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X19),X17),c_Complete__Lattice_OSup__class_OSup(X18,X19)) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X19),X17,X18,X19,X19)
      | ~ c_Finite__Set_Ofinite(X18,X19) ),
    inference(variable_rename,[status(thm)],[c_0_521]) ).

fof(c_0_961,plain,
    ! [X25,X26,X27,X28] :
      ( hBOOL(hAPP(hAPP(c_in(X28),X25),X26))
      | hBOOL(hAPP(hAPP(c_in(X28),X25),X27))
      | ~ hBOOL(hAPP(hAPP(c_in(X28),X25),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X28,tc_bool)),X27),X26))) ),
    inference(variable_rename,[status(thm)],[c_0_522]) ).

fof(c_0_962,plain,
    ! [X22,X23,X24,X25,X26,X27] :
      ( hBOOL(hAPP(hAPP(c_in(X27),hAPP(X23,X22)),X24))
      | ~ hBOOL(hAPP(hAPP(c_in(X26),X22),X25))
      | ~ c_lessequals(c_Set_Oimage(X23,X25,X26,X27),X24,tc_fun(X27,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_523]) ).

fof(c_0_963,plain,
    ! [X37,X38,X39,X40] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X40,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X40,tc_bool)),X39),X38)),X37) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X40,tc_bool)),X39),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X40,tc_bool)),X38),X37))
      | ~ c_lessequals(X37,X39,tc_fun(X40,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_524]) ).

fof(c_0_964,plain,
    ! [X16,X17] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X17)
      | c_Complete__Lattice_OSup__class_OSup(X16,X17) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X17),c_Orderings_Obot__class_Obot(X17),X16,X17,X17)
      | ~ c_Finite__Set_Ofinite(X16,X17) ),
    inference(variable_rename,[status(thm)],[c_0_525]) ).

fof(c_0_965,plain,
    ! [X16,X17,X18,X19] :
      ( hBOOL(hAPP(X17,X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X19),X16),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X19,tc_bool)),X18),c_Collect(X17,X19)))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_526])])]) ).

fof(c_0_966,plain,
    ! [X22,X23,X24,X25,X26] :
      ( c_Set_Oimage(X22,X24,X26,X25) != c_Set_Oimage(X22,X23,X26,X25)
      | ~ c_Fun_Oinj__on(X22,c_Orderings_Otop__class_Otop(tc_fun(X26,tc_bool)),X26,X25)
      | X24 = X23 ),
    inference(variable_rename,[status(thm)],[c_0_527]) ).

fof(c_0_967,plain,
    ! [X61,X62,X63,X64,X65,X66] :
      ( c_lessequals(hAPP(X64,X61),X63,tc_fun(X66,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X65),X61),X62))
      | ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X62,X64,X65,tc_fun(X66,tc_bool)),X63,tc_fun(X66,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_528]) ).

fof(c_0_968,plain,
    ! [X17,X18,X19,X20] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X19,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X20,tc_bool)),X20),tc_fun(X20,tc_bool)),X18,tc_fun(X20,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X20),X17),X19))
      | hBOOL(hAPP(hAPP(c_in(X20),X17),X18))
      | ~ c_HOL_Oord__class_Oless(X19,c_Set_Oinsert(X17,X18,X20),tc_fun(X20,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_529]) ).

fof(c_0_969,plain,
    ! [X22,X23,X24,X25] :
      ( c_Set_Ovimage(X22,c_Set_Oimage(X22,X23,X25,X24),X25,X24) = X23
      | ~ c_Fun_Oinj__on(X22,c_Orderings_Otop__class_Otop(tc_fun(X25,tc_bool)),X25,X24) ),
    inference(variable_rename,[status(thm)],[c_0_530]) ).

fof(c_0_970,plain,
    ! [X22,X23,X24,X25] :
      ( c_Finite__Set_Ofinite(X23,X24)
      | ~ c_Fun_Oinj__on(X22,X23,X24,X25)
      | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X22,X23,X24,X25),X25) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_531])])]) ).

fof(c_0_971,plain,
    ! [X22,X23,X24,X25,X26] :
      ( c_lessequals(c_Set_Ovimage(X22,X24,X25,X26),c_Set_Ovimage(X22,X23,X25,X26),tc_fun(X25,tc_bool))
      | ~ c_lessequals(X24,X23,tc_fun(X26,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_532]) ).

fof(c_0_972,plain,
    ! [X22,X23,X24,X25,X26] :
      ( c_lessequals(c_Set_Oimage(X22,X24,X26,X25),c_Set_Oimage(X22,X23,X26,X25),tc_fun(X25,tc_bool))
      | ~ c_lessequals(X24,X23,tc_fun(X26,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_533]) ).

fof(c_0_973,plain,
    ! [X22,X23,X24,X25,X26] :
      ( ~ c_lessequals(X22,X24,tc_fun(X25,tc_bool))
      | c_lessequals(c_Set_Oimage(X23,X22,X25,X26),c_Set_Oimage(X23,X24,X25,X26),tc_fun(X26,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_534])])]) ).

fof(c_0_974,plain,
    ! [X61,X62,X63,X64,X65] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X64,tc_bool)),hAPP(X63,X61)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X62,X63,X65,tc_fun(X64,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X62,X63,X65,tc_fun(X64,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X65),X61),X62)) ),
    inference(variable_rename,[status(thm)],[c_0_535]) ).

fof(c_0_975,plain,
    ! [X25,X26,X27,X28] :
      ( hBOOL(hAPP(hAPP(c_in(X28),X25),X26))
      | ~ hBOOL(hAPP(hAPP(c_in(X28),X25),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X28,tc_bool)),X27),X26))) ),
    inference(variable_rename,[status(thm)],[c_0_536]) ).

fof(c_0_976,plain,
    ! [X25,X26,X27,X28] :
      ( hBOOL(hAPP(hAPP(c_in(X28),X25),X27))
      | ~ hBOOL(hAPP(hAPP(c_in(X28),X25),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X28,tc_bool)),X27),X26))) ),
    inference(variable_rename,[status(thm)],[c_0_537]) ).

fof(c_0_977,plain,
    ! [X22,X23,X24] :
      ( c_Fun_Oinj__on(X22,X23,X24,X24)
      | ~ c_lessequals(X23,c_Set_Oimage(X22,X23,X24,X24),tc_fun(X24,tc_bool))
      | ~ c_Finite__Set_Ofinite(X23,X24) ),
    inference(variable_rename,[status(thm)],[c_0_538]) ).

fof(c_0_978,plain,
    ! [X22,X23,X24,X25,X26] :
      ( hBOOL(hAPP(c_Set_Ovimage(X23,X24,X26,X25),X22))
      | ~ hBOOL(hAPP(X24,hAPP(X23,X22))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_539])])]) ).

fof(c_0_979,plain,
    ! [X17,X18,X19,X20] :
      ( hAPP(X17,c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1(X18,X17,X19,X20)) != c_Orderings_Obot__class_Obot(tc_fun(X20,tc_bool))
      | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X18,X17,X19,tc_fun(X20,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X20,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_540]) ).

fof(c_0_980,plain,
    ! [X17,X18,X19,X20] :
      ( hAPP(X17,c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1(X18,X17,X19,X20)) != c_Orderings_Obot__class_Obot(tc_fun(X20,tc_bool))
      | c_Orderings_Obot__class_Obot(tc_fun(X20,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X18,X17,X19,tc_fun(X20,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_541]) ).

fof(c_0_981,plain,
    ! [X17,X18,X19,X20] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X19,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X20,tc_bool)),X20),tc_fun(X20,tc_bool)),X18,tc_fun(X20,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X20),X17),X19))
      | ~ c_lessequals(X19,c_Set_Oinsert(X17,X18,X20),tc_fun(X20,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_542]) ).

fof(c_0_982,plain,
    ! [X17,X18,X19,X20,X21] :
      ( c_Finite__Set_Ofinite(hAPP(X18,X17),X20)
      | ~ hBOOL(hAPP(hAPP(c_in(X21),X17),X19))
      | ~ c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X19,X18,X21,tc_fun(X20,tc_bool)),X20)
      | ~ c_Finite__Set_Ofinite(X19,X21) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_543])])]) ).

fof(c_0_983,plain,
    ! [X22,X23,X24,X25,X26] :
      ( c_Fun_Oinj__on(X22,X23,X26,X25)
      | ~ c_Fun_Oinj__on(X22,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X26,tc_bool)),X24),X23),X26,X25) ),
    inference(variable_rename,[status(thm)],[c_0_544]) ).

fof(c_0_984,plain,
    ! [X22,X23,X24,X25,X26] :
      ( c_Fun_Oinj__on(X22,X24,X26,X25)
      | ~ c_Fun_Oinj__on(X22,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X26,tc_bool)),X24),X23),X26,X25) ),
    inference(variable_rename,[status(thm)],[c_0_545]) ).

fof(c_0_985,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Olattice(X38)
      | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X37),X36)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X37),X35)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X37),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X36),X35)),X38) ),
    inference(variable_rename,[status(thm)],[c_0_546]) ).

fof(c_0_986,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Olattice(X38)
      | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X37),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X36),X35)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X37),X36)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X37),X35)),X38) ),
    inference(variable_rename,[status(thm)],[c_0_547]) ).

fof(c_0_987,plain,
    ! [X25,X26,X27,X28] :
      ( hBOOL(hAPP(hAPP(c_in(X28),X25),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X28,tc_bool)),X27),X26)))
      | ~ hBOOL(hAPP(hAPP(c_in(X28),X25),X26))
      | ~ hBOOL(hAPP(hAPP(c_in(X28),X25),X27)) ),
    inference(variable_rename,[status(thm)],[c_0_548]) ).

fof(c_0_988,plain,
    ! [X25,X26,X27,X28] :
      ( hBOOL(hAPP(hAPP(c_in(X28),X25),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X28,tc_bool)),X27),X26)))
      | ~ hBOOL(hAPP(hAPP(c_in(X28),X25),X26))
      | ~ hBOOL(hAPP(hAPP(c_in(X28),X25),X27)) ),
    inference(variable_rename,[status(thm)],[c_0_549]) ).

fof(c_0_989,plain,
    ! [X17,X18,X19,X20] :
      ( hBOOL(hAPP(X18,X17))
      | hBOOL(hAPP(X19,X17))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X20,tc_bool)),X19),X18),X17)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_550])])]) ).

fof(c_0_990,plain,
    ! [X57,X58,X59,X60] :
      ( c_Finite__Set_Ofinite(c_Set_Ovimage(X57,X58,X59,X60),X59)
      | ~ c_Fun_Oinj__on(X57,c_Orderings_Otop__class_Otop(tc_fun(X59,tc_bool)),X59,X60)
      | ~ c_Finite__Set_Ofinite(X58,X60) ),
    inference(variable_rename,[status(thm)],[c_0_551]) ).

fof(c_0_991,plain,
    ! [X16,X17,X18,X19] :
      ( hBOOL(hAPP(hAPP(c_in(X19),X16),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X19,tc_bool)),X18),c_Collect(X17,X19))))
      | ~ hBOOL(hAPP(X17,X16))
      | ~ hBOOL(hAPP(hAPP(c_in(X19),X16),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_552]) ).

fof(c_0_992,plain,
    ! [X22,X23,X24,X25,X26] :
      ( c_Set_Oinsert(hAPP(X23,X22),c_Set_Oimage(X23,X24,X26,X25),X25) = c_Set_Oimage(X23,X24,X26,X25)
      | ~ hBOOL(hAPP(hAPP(c_in(X26),X22),X24)) ),
    inference(variable_rename,[status(thm)],[c_0_553]) ).

fof(c_0_993,plain,
    ! [X17,X18,X19,X20] :
      ( hBOOL(hAPP(X18,X17))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X20,tc_bool)),X19),X18),X17)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_554])])]) ).

fof(c_0_994,plain,
    ! [X17,X18,X19,X20] :
      ( hBOOL(hAPP(X19,X17))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X20,tc_bool)),X19),X18),X17)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_555])])]) ).

fof(c_0_995,plain,
    ! [X22,X23,X24,X25,X26] :
      ( c_Finite__Set_Ofinite(X23,X25)
      | ~ c_lessequals(X23,c_Set_Oimage(X22,X24,X26,X25),tc_fun(X25,tc_bool))
      | ~ c_Finite__Set_Ofinite(X24,X26) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_556])])]) ).

fof(c_0_996,plain,
    ! [X37,X38,X39,X40,X41] :
      ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X41,tc_bool)),X40),X39),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X41,tc_bool)),X38),X37),tc_fun(X41,tc_bool))
      | ~ c_lessequals(X39,X37,tc_fun(X41,tc_bool))
      | ~ c_lessequals(X40,X38,tc_fun(X41,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_557]) ).

fof(c_0_997,plain,
    ! [X37,X38,X39,X40,X41] :
      ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X41,tc_bool)),X40),X39),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X41,tc_bool)),X38),X37),tc_fun(X41,tc_bool))
      | ~ c_lessequals(X39,X37,tc_fun(X41,tc_bool))
      | ~ c_lessequals(X40,X38,tc_fun(X41,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_558]) ).

fof(c_0_998,plain,
    ! [X37,X38,X39,X40] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X40,tc_bool)),c_Set_Oinsert(X37,X39,X40)),X38) = c_Set_Oinsert(X37,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X40,tc_bool)),X39),X38),X40)
      | ~ hBOOL(hAPP(hAPP(c_in(X40),X37),X38)) ),
    inference(variable_rename,[status(thm)],[c_0_559]) ).

fof(c_0_999,plain,
    ! [X25,X26,X27,X28] :
      ( hBOOL(hAPP(hAPP(c_in(X28),X25),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X28,tc_bool)),X27),X26)))
      | ~ hBOOL(hAPP(hAPP(c_in(X28),X25),X27)) ),
    inference(variable_rename,[status(thm)],[c_0_560]) ).

fof(c_0_1000,plain,
    ! [X25,X26,X27,X28] :
      ( hBOOL(hAPP(hAPP(c_in(X28),X25),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X28,tc_bool)),X27),X26)))
      | ~ hBOOL(hAPP(hAPP(c_in(X28),X25),X26)) ),
    inference(variable_rename,[status(thm)],[c_0_561]) ).

fof(c_0_1001,plain,
    ! [X25,X26,X27,X28,X29] :
      ( c_Set_Oinsert(X28,c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),X29) != c_Set_Oinsert(X26,c_Set_Oinsert(X25,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),X29)
      | X27 = X26
      | X27 = X25 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_562])])]) ).

fof(c_0_1002,plain,
    ! [X25,X26,X27,X28,X29] :
      ( c_Set_Oinsert(X28,c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),X29) != c_Set_Oinsert(X26,c_Set_Oinsert(X25,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),X29)
      | X28 = X25
      | X27 = X25 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_563])])]) ).

fof(c_0_1003,plain,
    ! [X25,X26,X27,X28,X29] :
      ( c_Set_Oinsert(X28,c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),X29) != c_Set_Oinsert(X26,c_Set_Oinsert(X25,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),X29)
      | X27 = X26
      | X28 = X26 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_564])])]) ).

fof(c_0_1004,plain,
    ! [X25,X26,X27,X28,X29] :
      ( c_Set_Oinsert(X28,c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),X29) != c_Set_Oinsert(X26,c_Set_Oinsert(X25,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),X29)
      | X28 = X25
      | X28 = X26 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_565])])]) ).

fof(c_0_1005,plain,
    ! [X15,X16,X17] :
      ( X15 = X16
      | ~ hBOOL(hAPP(hAPP(c_in(X17),X15),c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)),X17))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_566])])]) ).

fof(c_0_1006,plain,
    ! [X25,X26,X27,X28] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X28),X25),X26))
      | ~ hBOOL(hAPP(hAPP(c_in(X28),X25),c_HOL_Ominus__class_Ominus(X27,X26,tc_fun(X28,tc_bool)))) ),
    inference(variable_rename,[status(thm)],[c_0_567]) ).

fof(c_0_1007,plain,
    ! [X17,X18,X19,X20,X21] :
      ( c_lessequals(hAPP(X18,X17),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X19,X18,X21,tc_fun(X20,tc_bool)),tc_fun(X20,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X21),X17),X19)) ),
    inference(variable_rename,[status(thm)],[c_0_568]) ).

fof(c_0_1008,plain,
    ! [X22,X23,X24,X25,X26] :
      ( c_Fun_Oinj__on(X22,X24,X26,X25)
      | ~ c_Fun_Oinj__on(X22,c_Set_Oinsert(X23,X24,X26),X26,X25) ),
    inference(variable_rename,[status(thm)],[c_0_569]) ).

fof(c_0_1009,plain,
    ! [X37,X38,X39,X40] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X39,X38,tc_fun(X40,tc_bool)),X37,tc_fun(X40,tc_bool))
      | ~ c_lessequals(X39,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X40,tc_bool)),X38),X37),tc_fun(X40,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_570]) ).

fof(c_0_1010,plain,
    ! [X16,X17,X18] :
      ( c_Set_Oinsert(X16,c_HOL_Ominus__class_Ominus(X17,c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X18,tc_bool)),X18),tc_fun(X18,tc_bool)),X18) = X17
      | ~ hBOOL(hAPP(hAPP(c_in(X18),X16),X17)) ),
    inference(variable_rename,[status(thm)],[c_0_571]) ).

fof(c_0_1011,plain,
    ! [X22,X23,X24,X25,X26] :
      ( c_Fun_Oinj__on(X22,c_HOL_Ominus__class_Ominus(X24,X23,tc_fun(X26,tc_bool)),X26,X25)
      | ~ c_Fun_Oinj__on(X22,X24,X26,X25) ),
    inference(variable_rename,[status(thm)],[c_0_572]) ).

fof(c_0_1012,plain,
    ! [X35,X36,X37,X38,X39,X40] :
      ( hAPP(X37,X36) != hAPP(X37,X35)
      | ~ hBOOL(hAPP(hAPP(c_in(X40),X35),X38))
      | ~ hBOOL(hAPP(hAPP(c_in(X40),X36),X38))
      | X36 = X35
      | ~ c_Fun_Oinj__on(X37,X38,X40,X39) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_573])])]) ).

fof(c_0_1013,plain,
    ! [X35,X36,X37,X38,X39,X40] :
      ( hAPP(X37,X36) != hAPP(X37,X35)
      | ~ hBOOL(hAPP(hAPP(c_in(X40),X35),X38))
      | ~ hBOOL(hAPP(hAPP(c_in(X40),X36),X38))
      | ~ c_Fun_Oinj__on(X37,X38,X40,X39)
      | X36 = X35 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_574])])]) ).

fof(c_0_1014,plain,
    ! [X22,X23,X24,X25,X26,X27] :
      ( hAPP(X24,X23) != hAPP(X24,X22)
      | ~ hBOOL(hAPP(hAPP(c_in(X27),X22),X25))
      | ~ hBOOL(hAPP(hAPP(c_in(X27),X23),X25))
      | ~ c_Fun_Oinj__on(X24,X25,X27,X26)
      | X23 = X22 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_575])])]) ).

fof(c_0_1015,plain,
    ! [X35,X36,X37,X38,X39,X40] :
      ( hAPP(X37,X36) != hAPP(X37,X35)
      | ~ c_Fun_Oinj__on(X37,X38,X40,X39)
      | X36 = X35
      | ~ hBOOL(hAPP(hAPP(c_in(X40),X35),X38))
      | ~ hBOOL(hAPP(hAPP(c_in(X40),X36),X38)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_576])])]) ).

fof(c_0_1016,plain,
    ! [X17,X18,X19,X20] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X19,X18,tc_fun(X20,tc_bool)),X20)
      | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X19,c_Set_Oinsert(X17,X18,X20),tc_fun(X20,tc_bool)),X20) ),
    inference(variable_rename,[status(thm)],[c_0_577]) ).

fof(c_0_1017,plain,
    ! [X22,X23,X24,X25,X26] :
      ( c_Fun_Oinj__on(X22,X24,X26,X25)
      | ~ c_lessequals(X24,X23,tc_fun(X26,tc_bool))
      | ~ c_Fun_Oinj__on(X22,X23,X26,X25) ),
    inference(variable_rename,[status(thm)],[c_0_578]) ).

fof(c_0_1018,plain,
    ! [X17,X18,X19,X20] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X20,tc_bool)),X19),c_Set_Oinsert(X17,X18,X20)) = c_Set_Oinsert(X17,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X20,tc_bool)),X19),X18),X20)
      | ~ hBOOL(hAPP(hAPP(c_in(X20),X17),X19)) ),
    inference(variable_rename,[status(thm)],[c_0_579]) ).

fof(c_0_1019,plain,
    ! [X25,X26,X27,X28] :
      ( hBOOL(hAPP(hAPP(c_in(X28),X25),X27))
      | ~ hBOOL(hAPP(hAPP(c_in(X28),X25),c_HOL_Ominus__class_Ominus(X27,X26,tc_fun(X28,tc_bool)))) ),
    inference(variable_rename,[status(thm)],[c_0_580]) ).

fof(c_0_1020,plain,
    ! [X62,X63,X64,X65,X66] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X65)
      | c_lessequals(hAPP(X63,X62),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X64,X63,X66,X65),X65)
      | ~ hBOOL(hAPP(hAPP(c_in(X66),X62),X64)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_581])])]) ).

fof(c_0_1021,plain,
    ! [X37,X38,X39,X40] :
      ( c_lessequals(X39,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X40,tc_bool)),X38),X37),tc_fun(X40,tc_bool))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X39,X38,tc_fun(X40,tc_bool)),X37,tc_fun(X40,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_582]) ).

fof(c_0_1022,plain,
    ! [X22,X23,X24,X25] :
      ( X24 = X23
      | ~ c_Finite__Set_Ofold1Set(X22,c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X25,tc_bool)),X25),X23,X25) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_583])])]) ).

fof(c_0_1023,plain,
    ! [X17,X18,X19] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X19,tc_bool)),X18),X17) = c_Orderings_Obot__class_Obot(tc_fun(X19,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X19),c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__2(X18,X17,X19)),X17)) ),
    inference(variable_rename,[status(thm)],[c_0_584]) ).

fof(c_0_1024,plain,
    ! [X17,X18,X19] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X19,tc_bool)),X18),X17) = c_Orderings_Obot__class_Obot(tc_fun(X19,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X19),c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__1(X18,X17,X19)),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_585]) ).

fof(c_0_1025,plain,
    ! [X17,X18,X19,X20] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X20,tc_bool)),X19),X18),X17))
      | ~ hBOOL(hAPP(X18,X17))
      | ~ hBOOL(hAPP(X19,X17)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_586])])]) ).

fof(c_0_1026,plain,
    ! [X50,X51,X52,X53,X54] :
      ( hAPP(c_Map_Orestrict__map(X51,X52,X54,X53),X50) = hAPP(X51,X50)
      | ~ hBOOL(hAPP(hAPP(c_in(X54),X50),X52)) ),
    inference(variable_rename,[status(thm)],[c_0_587]) ).

fof(c_0_1027,plain,
    ! [X25,X26,X27,X28] :
      ( hBOOL(hAPP(hAPP(c_in(X28),X25),c_HOL_Ominus__class_Ominus(X27,X26,tc_fun(X28,tc_bool))))
      | hBOOL(hAPP(hAPP(c_in(X28),X25),X26))
      | ~ hBOOL(hAPP(hAPP(c_in(X28),X25),X27)) ),
    inference(variable_rename,[status(thm)],[c_0_588]) ).

fof(c_0_1028,plain,
    ! [X25,X26,X27,X28] :
      ( hBOOL(hAPP(hAPP(c_in(X28),X25),c_HOL_Ominus__class_Ominus(X27,X26,tc_fun(X28,tc_bool))))
      | hBOOL(hAPP(hAPP(c_in(X28),X25),X26))
      | ~ hBOOL(hAPP(hAPP(c_in(X28),X25),X27)) ),
    inference(variable_rename,[status(thm)],[c_0_589]) ).

fof(c_0_1029,plain,
    ! [X17,X18,X19,X20,X21] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X21,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X19,X18,X20,tc_fun(X21,tc_bool))
      | hAPP(X18,X17) = c_Orderings_Obot__class_Obot(tc_fun(X21,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X20),X17),X19)) ),
    inference(variable_rename,[status(thm)],[c_0_590]) ).

fof(c_0_1030,plain,
    ! [X17,X18,X19,X20,X21] :
      ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X19,X18,X20,tc_fun(X21,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X21,tc_bool))
      | hAPP(X18,X17) = c_Orderings_Obot__class_Obot(tc_fun(X21,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X20),X17),X19)) ),
    inference(variable_rename,[status(thm)],[c_0_591]) ).

fof(c_0_1031,plain,
    ! [X17,X18,X19,X20] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X20,tc_bool)),X19),X18),X17))
      | ~ hBOOL(hAPP(X18,X17)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_592])])]) ).

fof(c_0_1032,plain,
    ! [X17,X18,X19,X20] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X20,tc_bool)),X19),X18),X17))
      | ~ hBOOL(hAPP(X19,X17)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_593])])]) ).

fof(c_0_1033,plain,
    ! [X37,X38,X39,X40] :
      ( c_lessequals(X37,X38,tc_fun(X40,tc_bool))
      | ~ c_lessequals(X37,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X40,tc_bool)),X39),X38),tc_fun(X40,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_594]) ).

fof(c_0_1034,plain,
    ! [X37,X38,X39,X40] :
      ( c_lessequals(X37,X39,tc_fun(X40,tc_bool))
      | ~ c_lessequals(X37,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X40,tc_bool)),X39),X38),tc_fun(X40,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_595]) ).

fof(c_0_1035,plain,
    ! [X37,X38,X39,X40] :
      ( c_lessequals(X39,X37,tc_fun(X40,tc_bool))
      | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X40,tc_bool)),X39),X38),X37,tc_fun(X40,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_596]) ).

fof(c_0_1036,plain,
    ! [X37,X38,X39,X40] :
      ( c_lessequals(X38,X37,tc_fun(X40,tc_bool))
      | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X40,tc_bool)),X39),X38),X37,tc_fun(X40,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_597]) ).

fof(c_0_1037,plain,
    ! [X17,X18,X19,X20] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X19,c_Set_Oinsert(X17,X18,X20),tc_fun(X20,tc_bool)),X20)
      | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X19,X18,tc_fun(X20,tc_bool)),X20) ),
    inference(variable_rename,[status(thm)],[c_0_598]) ).

fof(c_0_1038,plain,
    ! [X25,X26,X27,X28,X29] :
      ( c_Set_Oimage(c_COMBK(X26,X28,X29),X27,X29,X28) = c_Set_Oinsert(X26,c_Orderings_Obot__class_Obot(tc_fun(X28,tc_bool)),X28)
      | ~ hBOOL(hAPP(hAPP(c_in(X29),X25),X27)) ),
    inference(variable_rename,[status(thm)],[c_0_599]) ).

fof(c_0_1039,plain,
    ! [X37,X38,X39,X40,X41] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X40,X39,tc_fun(X41,tc_bool)),c_HOL_Ominus__class_Ominus(X38,X37,tc_fun(X41,tc_bool)),tc_fun(X41,tc_bool))
      | ~ c_lessequals(X37,X39,tc_fun(X41,tc_bool))
      | ~ c_lessequals(X40,X38,tc_fun(X41,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_600]) ).

fof(c_0_1040,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Odistrib__lattice(X38)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X36),X35)),X37) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X36),X37)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X35),X37)) ),
    inference(variable_rename,[status(thm)],[c_0_601]) ).

fof(c_0_1041,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Odistrib__lattice(X38)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X36),X35)),X37) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X36),X37)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X35),X37)) ),
    inference(variable_rename,[status(thm)],[c_0_602]) ).

fof(c_0_1042,plain,
    ! [X50,X51,X52,X53,X54] :
      ( hAPP(c_Map_Orestrict__map(X51,X52,X54,X53),X50) = c_Option_Ooption_ONone(X53)
      | hBOOL(hAPP(hAPP(c_in(X54),X50),X52)) ),
    inference(variable_rename,[status(thm)],[c_0_603]) ).

fof(c_0_1043,plain,
    ! [X16,X17,X18,X19] :
      ( hBOOL(hAPP(hAPP(c_in(X19),X17),X18))
      | X17 = X16
      | ~ hBOOL(hAPP(hAPP(c_in(X19),X17),c_Set_Oinsert(X16,X18,X19))) ),
    inference(variable_rename,[status(thm)],[c_0_604]) ).

fof(c_0_1044,plain,
    ! [X37,X38,X39,X40] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X40,tc_bool)),c_Set_Oinsert(X37,X39,X40)),X38) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X40,tc_bool)),X39),X38)
      | hBOOL(hAPP(hAPP(c_in(X40),X37),X38)) ),
    inference(variable_rename,[status(thm)],[c_0_605]) ).

fof(c_0_1045,plain,
    ! [X37,X38,X39,X40] :
      ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X40,tc_bool)),X39),X38),X37,tc_fun(X40,tc_bool))
      | ~ c_lessequals(X38,X37,tc_fun(X40,tc_bool))
      | ~ c_lessequals(X39,X37,tc_fun(X40,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_606]) ).

fof(c_0_1046,plain,
    ! [X37,X38,X39,X40] :
      ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X40,tc_bool)),X39),X38),X37,tc_fun(X40,tc_bool))
      | ~ c_lessequals(X38,X37,tc_fun(X40,tc_bool))
      | ~ c_lessequals(X39,X37,tc_fun(X40,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_607]) ).

fof(c_0_1047,plain,
    ! [X37,X38,X39,X40] :
      ( c_lessequals(X37,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X40,tc_bool)),X39),X38),tc_fun(X40,tc_bool))
      | ~ c_lessequals(X37,X38,tc_fun(X40,tc_bool))
      | ~ c_lessequals(X37,X39,tc_fun(X40,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_608]) ).

fof(c_0_1048,plain,
    ! [X37,X38,X39,X40] :
      ( c_lessequals(X37,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X40,tc_bool)),X39),X38),tc_fun(X40,tc_bool))
      | ~ c_lessequals(X37,X38,tc_fun(X40,tc_bool))
      | ~ c_lessequals(X37,X39,tc_fun(X40,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_609]) ).

fof(c_0_1049,plain,
    ! [X17,X18,X19,X20] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X20),X17),X18))
      | ~ hBOOL(hAPP(hAPP(c_in(X20),X17),X19))
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X20,tc_bool)),X19),X18) != c_Orderings_Obot__class_Obot(tc_fun(X20,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_610]) ).

fof(c_0_1050,plain,
    ! [X15,X16,X17] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X17)
      | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X16,c_Set_Oinsert(X15,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)),X17),X17),X17) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X17),X16),X15) ),
    inference(variable_rename,[status(thm)],[c_0_611]) ).

fof(c_0_1051,plain,
    ! [X16,X17,X18] :
      ( X17 = c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X18,tc_bool)),X18)
      | X17 = c_Orderings_Obot__class_Obot(tc_fun(X18,tc_bool))
      | ~ c_lessequals(X17,c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X18,tc_bool)),X18),tc_fun(X18,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_612]) ).

fof(c_0_1052,plain,
    ! [X17,X18,X19,X20] :
      ( c_lessequals(X19,X18,tc_fun(X20,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X20),X17),X19))
      | hBOOL(hAPP(hAPP(c_in(X20),X17),X18))
      | ~ c_HOL_Oord__class_Oless(X19,c_Set_Oinsert(X17,X18,X20),tc_fun(X20,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_613]) ).

fof(c_0_1053,plain,
    ! [X20,X21,X22,X23] :
      ( c_Hoare__Mirabelle_Otriple__valid(X22,X21,t_a)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X21),X20))
      | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X23,X22)),X23))
      | ~ c_Hoare__Mirabelle_Ohoare__valids(X23,X20,t_a) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_614])])]) ).

fof(c_0_1054,plain,
    ! [X25,X26,X27,X28] :
      ( c_Set_Ovimage(c_COMBK(X25,X27,X28),X26,X28,X27) = c_Orderings_Otop__class_Otop(tc_fun(X28,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X27),X25),X26)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_615])])]) ).

fof(c_0_1055,plain,
    ! [X17,X18,X19,X20] :
      ( c_HOL_Oord__class_Oless(X19,c_Set_Oinsert(X17,X18,X20),tc_fun(X20,tc_bool))
      | ~ c_lessequals(X19,X18,tc_fun(X20,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X20),X17),X19))
      | ~ c_HOL_Oord__class_Oless(X19,X18,tc_fun(X20,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_616]) ).

fof(c_0_1056,plain,
    ! [X17,X18,X19,X20] :
      ( c_HOL_Oord__class_Oless(X19,X18,tc_fun(X20,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X20),X17),X18))
      | ~ c_HOL_Oord__class_Oless(X19,c_Set_Oinsert(X17,X18,X20),tc_fun(X20,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_617]) ).

fof(c_0_1057,plain,
    ! [X57,X58,X59,X60] :
      ( c_Finite__Set_Ofinite(c_Set_Oimage(X57,X58,X60,X59),X59)
      | ~ c_Finite__Set_Ofinite(X58,X60) ),
    inference(variable_rename,[status(thm)],[c_0_618]) ).

fof(c_0_1058,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Odistrib__lattice(X38)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X37),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X36),X35)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X37),X36)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X37),X35)) ),
    inference(variable_rename,[status(thm)],[c_0_619]) ).

fof(c_0_1059,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Odistrib__lattice(X38)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X37),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X36),X35)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X37),X36)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X37),X35)) ),
    inference(variable_rename,[status(thm)],[c_0_620]) ).

fof(c_0_1060,plain,
    ! [X17,X18,X19,X20] :
      ( c_HOL_Oord__class_Oless(X19,c_Set_Oinsert(X17,X18,X20),tc_fun(X20,tc_bool))
      | ~ c_lessequals(X19,X18,tc_fun(X20,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X20),X17),X19))
      | hBOOL(hAPP(hAPP(c_in(X20),X17),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_621]) ).

fof(c_0_1061,plain,
    ! [X35,X36,X37,X38,X39] :
      ( hAPP(X37,X36) != hAPP(X37,X35)
      | ~ c_Fun_Oinj__on(X37,c_Orderings_Otop__class_Otop(tc_fun(X39,tc_bool)),X39,X38)
      | X36 = X35 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_622])])]) ).

fof(c_0_1062,plain,
    ! [X16,X17,X18] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X16,X17,X18),c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X18,tc_bool)),X18),tc_fun(X18,tc_bool)) = X17
      | hBOOL(hAPP(hAPP(c_in(X18),X16),X17)) ),
    inference(variable_rename,[status(thm)],[c_0_623]) ).

fof(c_0_1063,plain,
    ! [X17,X18,X19,X20] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X20,tc_bool)),X19),c_Set_Oinsert(X17,X18,X20)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X20,tc_bool)),X19),X18)
      | hBOOL(hAPP(hAPP(c_in(X20),X17),X19)) ),
    inference(variable_rename,[status(thm)],[c_0_624]) ).

fof(c_0_1064,plain,
    ! [X17,X18,X19,X20] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X17,X19,X20),X18,tc_fun(X20,tc_bool)) = c_Set_Oinsert(X17,c_HOL_Ominus__class_Ominus(X19,X18,tc_fun(X20,tc_bool)),X20)
      | hBOOL(hAPP(hAPP(c_in(X20),X17),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_625]) ).

fof(c_0_1065,plain,
    ! [X12,X13,X14] :
      ( c_Hoare__Mirabelle_Otriple__valid(X14,X12,t_a)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X12),X13))
      | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X14,X13)),X13)) ),
    inference(variable_rename,[status(thm)],[c_0_626]) ).

fof(c_0_1066,plain,
    ! [X25,X26,X27,X28] :
      ( c_Set_Oimage(c_COMBK(X25,X28,X27),X26,X27,X28) = c_Set_Oinsert(X25,c_Orderings_Obot__class_Obot(tc_fun(X28,tc_bool)),X28)
      | X26 = c_Orderings_Obot__class_Obot(tc_fun(X27,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_627])])]) ).

fof(c_0_1067,plain,
    ! [X16,X17,X18,X19] :
      ( hBOOL(hAPP(hAPP(c_in(X19),X17),c_Set_Oinsert(X16,X18,X19)))
      | ~ hBOOL(hAPP(hAPP(c_in(X19),X17),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_628]) ).

fof(c_0_1068,plain,
    ! [X17,X18,X19,X20] :
      ( hBOOL(hAPP(hAPP(c_in(X20),X18),c_Set_Oinsert(X17,X19,X20)))
      | ~ hBOOL(hAPP(hAPP(c_in(X20),X18),X19)) ),
    inference(variable_rename,[status(thm)],[c_0_629]) ).

fof(c_0_1069,plain,
    ! [X25,X26,X27,X28] :
      ( c_Set_Ovimage(c_COMBK(X25,X27,X28),X26,X28,X27) = c_Orderings_Obot__class_Obot(tc_fun(X28,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X27),X25),X26)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_630])])]) ).

fof(c_0_1070,plain,
    ! [X51,X52,X53] :
      ( c_Finite__Set_Ofinite(X52,X53)
      | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X53,tc_bool)),X52),X51),X53) ),
    inference(variable_rename,[status(thm)],[c_0_631]) ).

fof(c_0_1071,plain,
    ! [X51,X52,X53] :
      ( c_Finite__Set_Ofinite(X51,X53)
      | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X53,tc_bool)),X52),X51),X53) ),
    inference(variable_rename,[status(thm)],[c_0_632]) ).

fof(c_0_1072,plain,
    ! [X37,X38,X39,X40] :
      ( c_HOL_Ominus__class_Ominus(X38,c_HOL_Ominus__class_Ominus(X37,X39,tc_fun(X40,tc_bool)),tc_fun(X40,tc_bool)) = X39
      | ~ c_lessequals(X38,X37,tc_fun(X40,tc_bool))
      | ~ c_lessequals(X39,X38,tc_fun(X40,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_633]) ).

fof(c_0_1073,plain,
    ! [X17,X18,X19,X20] :
      ( c_lessequals(X19,X18,tc_fun(X20,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X20),X17),X19))
      | ~ c_lessequals(X19,c_Set_Oinsert(X17,X18,X20),tc_fun(X20,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_634]) ).

fof(c_0_1074,plain,
    ! [X17,X18,X19,X20] :
      ( c_lessequals(X19,X18,tc_fun(X20,tc_bool))
      | ~ c_lessequals(X19,c_Set_Oinsert(X17,X18,X20),tc_fun(X20,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X20),X17),X19)) ),
    inference(variable_rename,[status(thm)],[c_0_635]) ).

fof(c_0_1075,plain,
    ! [X17,X18,X19,X20] :
      ( c_HOL_Oord__class_Oless(X19,c_Set_Oinsert(X17,X18,X20),tc_fun(X20,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X20),X17),X18))
      | ~ c_HOL_Oord__class_Oless(X19,X18,tc_fun(X20,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_636]) ).

fof(c_0_1076,plain,
    ! [X17,X18,X19,X20] :
      ( c_lessequals(c_Set_Oinsert(X17,X19,X20),X18,tc_fun(X20,tc_bool))
      | ~ c_lessequals(X19,X18,tc_fun(X20,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X20),X17),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_637]) ).

fof(c_0_1077,plain,
    ! [X19,X20,X21,X22] :
      ( c_Hoare__Mirabelle_Otriple__valid(X21,X20,t_a)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X20),X19))
      | ~ c_Hoare__Mirabelle_Otriple__valid(X21,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X22,X21),t_a)
      | ~ c_Hoare__Mirabelle_Ohoare__valids(X22,X19,t_a) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_638])])]) ).

fof(c_0_1078,plain,
    ! [X22,X23,X24,X25] :
      ( c_Set_Oimage(X22,X23,X24,X25) != c_Orderings_Obot__class_Obot(tc_fun(X25,tc_bool))
      | X23 = c_Orderings_Obot__class_Obot(tc_fun(X24,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_639])])]) ).

fof(c_0_1079,plain,
    ! [X22,X23,X24,X25] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X25,tc_bool)) != c_Set_Oimage(X22,X23,X24,X25)
      | X23 = c_Orderings_Obot__class_Obot(tc_fun(X24,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_640])])]) ).

fof(c_0_1080,plain,
    ! [X16,X17] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X17),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(X16,X17)),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(X16,X17)))
      | X16 = c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_641]) ).

fof(c_0_1081,plain,
    ! [X17,X18,X19,X20] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X17,X19,X20),X18,tc_fun(X20,tc_bool)) = c_HOL_Ominus__class_Ominus(X19,X18,tc_fun(X20,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X20),X17),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_642]) ).

fof(c_0_1082,plain,
    ! [X40,X41,X42] :
      ( ~ class_Lattices_Olattice(X42)
      | hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,X42)),X41),X40),v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X42),hAPP(X41,v_x)),hAPP(X40,v_x)) ),
    inference(variable_rename,[status(thm)],[c_0_643]) ).

fof(c_0_1083,plain,
    ! [X40,X41,X42] :
      ( ~ class_Lattices_Olattice(X42)
      | hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,X42)),X41),X40),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X42),hAPP(X41,v_x)),hAPP(X40,v_x)) ),
    inference(variable_rename,[status(thm)],[c_0_644]) ).

fof(c_0_1084,plain,
    ! [X17,X18,X19] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X19,tc_bool)),X18),c_HOL_Ominus__class_Ominus(X17,X18,tc_fun(X19,tc_bool))) = X17
      | ~ c_lessequals(X18,X17,tc_fun(X19,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_645]) ).

fof(c_0_1085,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Oupper__semilattice(X38)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X37),X36)),X35) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X37),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X36),X35)) ),
    inference(variable_rename,[status(thm)],[c_0_646]) ).

fof(c_0_1086,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Olattice(X38)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X37),X36)),X35) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X37),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X36),X35)) ),
    inference(variable_rename,[status(thm)],[c_0_647]) ).

fof(c_0_1087,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Olattice(X38)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X37),X36)),X35) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X37),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X36),X35)) ),
    inference(variable_rename,[status(thm)],[c_0_648]) ).

fof(c_0_1088,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Olower__semilattice(X38)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X37),X36)),X35) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X37),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X36),X35)) ),
    inference(variable_rename,[status(thm)],[c_0_649]) ).

fof(c_0_1089,plain,
    ! [X35,X36,X37,X38] :
      ( hBOOL(hAPP(X37,X36))
      | X35 = X36
      | ~ hBOOL(hAPP(c_Set_Oinsert(X35,X37,X38),X36)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_650])])]) ).

fof(c_0_1090,plain,
    ! [X17,X18,X19,X20] :
      ( c_lessequals(X19,c_Set_Oinsert(X17,X18,X20),tc_fun(X20,tc_bool))
      | ~ c_lessequals(X19,X18,tc_fun(X20,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X20),X17),X19)) ),
    inference(variable_rename,[status(thm)],[c_0_651]) ).

fof(c_0_1091,plain,
    ! [X17,X18,X19,X20] :
      ( c_lessequals(X19,c_Set_Oinsert(X17,X18,X20),tc_fun(X20,tc_bool))
      | ~ c_lessequals(X19,X18,tc_fun(X20,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X20),X17),X19)) ),
    inference(variable_rename,[status(thm)],[c_0_652]) ).

fof(c_0_1092,plain,
    ! [X37,X38,X39,X40] :
      ( c_lessequals(c_Set_Oinsert(X37,X39,X40),c_Set_Oinsert(X37,X38,X40),tc_fun(X40,tc_bool))
      | ~ c_lessequals(X39,X38,tc_fun(X40,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_653]) ).

fof(c_0_1093,plain,
    ! [X53,X54,X55] :
      ( c_Finite__Set_Ofinite(X53,t_a)
      | ~ c_Wellfounded_Omax__extp(X55,X54,X53,t_a) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_654])])]) ).

fof(c_0_1094,plain,
    ! [X53,X54,X55] :
      ( c_Finite__Set_Ofinite(X54,t_a)
      | ~ c_Wellfounded_Omax__extp(X55,X54,X53,t_a) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_655])])]) ).

fof(c_0_1095,plain,
    ! [X17,X18,X19,X20] :
      ( hBOOL(hAPP(hAPP(c_in(X20),X17),X18))
      | ~ c_lessequals(c_Set_Oinsert(X17,X19,X20),X18,tc_fun(X20,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_656]) ).

fof(c_0_1096,plain,
    ! [X21,X22,X23,X24] :
      ( hBOOL(hAPP(hAPP(c_in(X24),X21),X22))
      | ~ hBOOL(hAPP(hAPP(c_in(X24),X21),X23))
      | ~ c_lessequals(X23,X22,tc_fun(X24,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_657]) ).

fof(c_0_1097,plain,
    ! [X17,X18,X19,X20] :
      ( hBOOL(hAPP(hAPP(c_in(X20),X17),X18))
      | ~ c_lessequals(X19,X18,tc_fun(X20,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X20),X17),X19)) ),
    inference(variable_rename,[status(thm)],[c_0_658]) ).

fof(c_0_1098,plain,
    ! [X25,X26,X27,X28] :
      ( hBOOL(hAPP(hAPP(c_in(X28),X25),X26))
      | ~ hBOOL(hAPP(hAPP(c_in(X28),X25),X27))
      | ~ c_lessequals(X27,X26,tc_fun(X28,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_659]) ).

fof(c_0_1099,plain,
    ! [X17,X18,X19,X20] :
      ( hBOOL(hAPP(hAPP(c_in(X20),X17),X18))
      | ~ hBOOL(hAPP(hAPP(c_in(X20),X17),X19))
      | ~ c_lessequals(X19,X18,tc_fun(X20,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_660]) ).

fof(c_0_1100,plain,
    ! [X25,X26,X27,X28] :
      ( hBOOL(hAPP(hAPP(c_in(X28),X25),X26))
      | ~ hBOOL(hAPP(hAPP(c_in(X28),X25),X27))
      | ~ c_HOL_Oord__class_Oless(X27,X26,tc_fun(X28,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_661]) ).

fof(c_0_1101,plain,
    ! [X13,X14,X15] :
      ( c_Hoare__Mirabelle_Otriple__valid(X15,X13,t_a)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X13),X14))
      | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X15),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X15,X14),t_a) ),
    inference(variable_rename,[status(thm)],[c_0_662]) ).

fof(c_0_1102,plain,
    ! [X56,X57,X58,X59] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X58)
      | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X57,c_COMBK(X56,X58,X59),X59,X58) = X56
      | X57 = c_Orderings_Obot__class_Obot(tc_fun(X59,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_663])])]) ).

fof(c_0_1103,plain,
    ! [X17,X18,X19,X20] :
      ( c_Set_Oinsert(X17,X19,X20) != c_Set_Oinsert(X17,X18,X20)
      | hBOOL(hAPP(hAPP(c_in(X20),X17),X18))
      | hBOOL(hAPP(hAPP(c_in(X20),X17),X19))
      | X19 = X18 ),
    inference(variable_rename,[status(thm)],[c_0_664]) ).

fof(c_0_1104,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP(X9,X8))
      | ~ hBOOL(hAPP(hAPP(c_in(X10),X8),c_Orderings_Obot__class_Obot(tc_fun(X10,tc_bool)))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_665])])]) ).

fof(c_0_1105,plain,
    ! [X17,X18,X19,X20] :
      ( c_lessequals(X19,X18,tc_fun(X20,tc_bool))
      | ~ c_lessequals(c_Set_Oinsert(X17,X19,X20),X18,tc_fun(X20,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_666]) ).

fof(c_0_1106,plain,
    ! [X8,X9,X10] :
      ( hBOOL(hAPP(X9,X8))
      | ~ hBOOL(hAPP(hAPP(c_in(X10),X8),c_Orderings_Obot__class_Obot(tc_fun(X10,tc_bool)))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_667])])]) ).

fof(c_0_1107,plain,
    ! [X17,X18,X19] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X19,tc_bool)),X18),X17) != c_Orderings_Obot__class_Obot(tc_fun(X19,tc_bool))
      | c_HOL_Ominus__class_Ominus(X18,X17,tc_fun(X19,tc_bool)) = X18 ),
    inference(variable_rename,[status(thm)],[c_0_668]) ).

fof(c_0_1108,plain,
    ! [X51,X52,X53] :
      ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X53,tc_bool)),X52),X51),X53)
      | ~ c_Finite__Set_Ofinite(X51,X53)
      | ~ c_Finite__Set_Ofinite(X52,X53) ),
    inference(variable_rename,[status(thm)],[c_0_669]) ).

fof(c_0_1109,plain,
    ! [X51,X52,X53] :
      ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X53,tc_bool)),X52),X51),X53)
      | ~ c_Finite__Set_Ofinite(X51,X53)
      | ~ c_Finite__Set_Ofinite(X52,X53) ),
    inference(variable_rename,[status(thm)],[c_0_670]) ).

fof(c_0_1110,plain,
    ! [X19,X20,X21] :
      ( c_Hoare__Mirabelle_Ohoare__valids(X21,X20,t_a)
      | c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(X21,X20),X19,t_a)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X19),X21)) ),
    inference(variable_rename,[status(thm)],[c_0_671]) ).

fof(c_0_1111,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_Lattices_Oupper__semilattice(X18)
      | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X18),X17),X16),X15,X18)
      | ~ c_lessequals(X16,X15,X18)
      | ~ c_lessequals(X17,X15,X18) ),
    inference(variable_rename,[status(thm)],[c_0_672]) ).

fof(c_0_1112,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Oupper__semilattice(X38)
      | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X36),X35),X37,X38)
      | ~ c_lessequals(X35,X37,X38)
      | ~ c_lessequals(X36,X37,X38) ),
    inference(variable_rename,[status(thm)],[c_0_673]) ).

fof(c_0_1113,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Oupper__semilattice(X38)
      | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X37),X36),X35,X38)
      | ~ c_lessequals(X36,X35,X38)
      | ~ c_lessequals(X37,X35,X38) ),
    inference(variable_rename,[status(thm)],[c_0_674]) ).

fof(c_0_1114,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Olower__semilattice(X38)
      | c_lessequals(X37,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X36),X35),X38)
      | ~ c_lessequals(X37,X35,X38)
      | ~ c_lessequals(X37,X36,X38) ),
    inference(variable_rename,[status(thm)],[c_0_675]) ).

fof(c_0_1115,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Olower__semilattice(X38)
      | c_lessequals(X37,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X36),X35),X38)
      | ~ c_lessequals(X37,X35,X38)
      | ~ c_lessequals(X37,X36,X38) ),
    inference(variable_rename,[status(thm)],[c_0_676]) ).

fof(c_0_1116,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_Lattices_Olower__semilattice(X18)
      | c_lessequals(X15,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X18),X17),X16),X18)
      | ~ c_lessequals(X15,X16,X18)
      | ~ c_lessequals(X15,X17,X18) ),
    inference(variable_rename,[status(thm)],[c_0_677]) ).

fof(c_0_1117,plain,
    ! [X15,X16,X17] :
      ( c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)),X17) != c_Set_Oinsert(X15,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)),X17)
      | X16 = X15 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_678])])]) ).

fof(c_0_1118,plain,
    ! [X34,X35,X36,X37,X38] :
      ( hAPP(hAPP(X34,hAPP(hAPP(X34,X37),X36)),X35) = hAPP(hAPP(X34,X37),hAPP(hAPP(X34,X36),X35))
      | ~ c_OrderedGroup_Oab__semigroup__mult(X34,X38) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_679])])]) ).

fof(c_0_1119,plain,
    ! [X51,X52,X53] :
      ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X53,tc_bool)),X52),X51),X53)
      | ~ c_Finite__Set_Ofinite(X51,X53) ),
    inference(variable_rename,[status(thm)],[c_0_680]) ).

fof(c_0_1120,plain,
    ! [X51,X52,X53] :
      ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X53,tc_bool)),X52),X51),X53)
      | ~ c_Finite__Set_Ofinite(X52,X53) ),
    inference(variable_rename,[status(thm)],[c_0_681]) ).

fof(c_0_1121,plain,
    ! [X37,X38,X39,X40] :
      ( c_HOL_Oord__class_Oless(X39,X37,tc_fun(X40,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X38,X37,tc_fun(X40,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X39,X38,tc_fun(X40,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_682]) ).

fof(c_0_1122,plain,
    ! [X37,X38,X39,X40] :
      ( c_lessequals(X39,X37,tc_fun(X40,tc_bool))
      | ~ c_lessequals(X38,X37,tc_fun(X40,tc_bool))
      | ~ c_lessequals(X39,X38,tc_fun(X40,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_683]) ).

fof(c_0_1123,plain,
    ! [X37,X38,X39,X40] :
      ( c_HOL_Oord__class_Oless(X39,X37,tc_fun(X40,tc_bool))
      | ~ c_lessequals(X38,X37,tc_fun(X40,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X39,X38,tc_fun(X40,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_684]) ).

fof(c_0_1124,plain,
    ! [X37,X38,X39,X40] :
      ( c_HOL_Oord__class_Oless(X39,X37,tc_fun(X40,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X38,X37,tc_fun(X40,tc_bool))
      | ~ c_lessequals(X39,X38,tc_fun(X40,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_685]) ).

fof(c_0_1125,plain,
    ! [X39,X40,X41,X42,X43] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X43)
      | c_HOL_Ominus__class_Ominus(X42,X40,X43) != c_HOL_Ominus__class_Ominus(X41,X39,X43)
      | c_lessequals(X39,X41,X43)
      | ~ c_lessequals(X40,X42,X43) ),
    inference(variable_rename,[status(thm)],[c_0_686]) ).

fof(c_0_1126,plain,
    ! [X39,X40,X41,X42,X43] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X43)
      | c_HOL_Ominus__class_Ominus(X42,X40,X43) != c_HOL_Ominus__class_Ominus(X41,X39,X43)
      | c_lessequals(X40,X42,X43)
      | ~ c_lessequals(X39,X41,X43) ),
    inference(variable_rename,[status(thm)],[c_0_687]) ).

fof(c_0_1127,plain,
    ! [X39,X40,X41,X42,X43] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X43)
      | c_HOL_Ominus__class_Ominus(X42,X40,X43) != c_HOL_Ominus__class_Ominus(X41,X39,X43)
      | c_HOL_Oord__class_Oless(X41,X39,X43)
      | ~ c_HOL_Oord__class_Oless(X42,X40,X43) ),
    inference(variable_rename,[status(thm)],[c_0_688]) ).

fof(c_0_1128,plain,
    ! [X39,X40,X41,X42,X43] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X43)
      | c_HOL_Ominus__class_Ominus(X42,X40,X43) != c_HOL_Ominus__class_Ominus(X41,X39,X43)
      | c_HOL_Oord__class_Oless(X42,X40,X43)
      | ~ c_HOL_Oord__class_Oless(X41,X39,X43) ),
    inference(variable_rename,[status(thm)],[c_0_689]) ).

fof(c_0_1129,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Oupper__semilattice(X38)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X37),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X36),X35)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X36),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X37),X35)) ),
    inference(variable_rename,[status(thm)],[c_0_690]) ).

fof(c_0_1130,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Olattice(X38)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X37),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X36),X35)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X36),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X37),X35)) ),
    inference(variable_rename,[status(thm)],[c_0_691]) ).

fof(c_0_1131,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Olattice(X38)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X37),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X36),X35)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X36),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X37),X35)) ),
    inference(variable_rename,[status(thm)],[c_0_692]) ).

fof(c_0_1132,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Olower__semilattice(X38)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X37),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X36),X35)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X36),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X37),X35)) ),
    inference(variable_rename,[status(thm)],[c_0_693]) ).

fof(c_0_1133,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_Lattices_Olower__semilattice(X18)
      | c_lessequals(X15,X17,X18)
      | ~ c_lessequals(X15,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X18),X17),X16),X18) ),
    inference(variable_rename,[status(thm)],[c_0_694]) ).

fof(c_0_1134,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_Lattices_Olower__semilattice(X18)
      | c_lessequals(X15,X16,X18)
      | ~ c_lessequals(X15,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X18),X17),X16),X18) ),
    inference(variable_rename,[status(thm)],[c_0_695]) ).

fof(c_0_1135,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Olower__semilattice(X38)
      | c_lessequals(X37,X36,X38)
      | ~ c_lessequals(X37,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X36),X35),X38) ),
    inference(variable_rename,[status(thm)],[c_0_696]) ).

fof(c_0_1136,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Olower__semilattice(X38)
      | c_lessequals(X37,X35,X38)
      | ~ c_lessequals(X37,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X38),X36),X35),X38) ),
    inference(variable_rename,[status(thm)],[c_0_697]) ).

fof(c_0_1137,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Oupper__semilattice(X38)
      | c_lessequals(X36,X35,X38)
      | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X37),X36),X35,X38) ),
    inference(variable_rename,[status(thm)],[c_0_698]) ).

fof(c_0_1138,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Lattices_Oupper__semilattice(X38)
      | c_lessequals(X37,X35,X38)
      | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X38),X37),X36),X35,X38) ),
    inference(variable_rename,[status(thm)],[c_0_699]) ).

fof(c_0_1139,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_Lattices_Oupper__semilattice(X18)
      | c_lessequals(X16,X15,X18)
      | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X18),X17),X16),X15,X18) ),
    inference(variable_rename,[status(thm)],[c_0_700]) ).

fof(c_0_1140,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_Lattices_Oupper__semilattice(X18)
      | c_lessequals(X17,X15,X18)
      | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X18),X17),X16),X15,X18) ),
    inference(variable_rename,[status(thm)],[c_0_701]) ).

fof(c_0_1141,plain,
    ! [X17,X18,X19,X20] :
      ( c_lessequals(X19,c_Set_Oinsert(X17,X18,X20),tc_fun(X20,tc_bool))
      | ~ c_lessequals(X19,X18,tc_fun(X20,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_702]) ).

fof(c_0_1142,plain,
    ! [X17,X18,X19] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X19,tc_bool)),X18),X17) != X17
      | c_lessequals(X18,X17,tc_fun(X19,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_703]) ).

fof(c_0_1143,plain,
    ! [X17,X18,X19] :
      ( c_Finite__Set_Ofinite(X18,X19)
      | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X18,X17,tc_fun(X19,tc_bool)),X19)
      | ~ c_Finite__Set_Ofinite(X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_704]) ).

fof(c_0_1144,plain,
    ! [X17,X18,X19] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X19,tc_bool)),X18),X17) != c_Orderings_Obot__class_Obot(tc_fun(X19,tc_bool))
      | X17 = c_Orderings_Obot__class_Obot(tc_fun(X19,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_705]) ).

fof(c_0_1145,plain,
    ! [X17,X18,X19] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X19,tc_bool)),X18),X17) != c_Orderings_Obot__class_Obot(tc_fun(X19,tc_bool))
      | X18 = c_Orderings_Obot__class_Obot(tc_fun(X19,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_706]) ).

fof(c_0_1146,plain,
    ! [X40,X41,X42,X43] :
      ( ~ class_HOL_Oord(X42)
      | c_HOL_Oord__class_Oless(X41,X40,tc_fun(X43,X42))
      | c_lessequals(X40,X41,tc_fun(X43,X42))
      | ~ c_lessequals(X41,X40,tc_fun(X43,X42)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_707])])]) ).

fof(c_0_1147,plain,
    ! [X35,X36,X37,X38] :
      ( hBOOL(hAPP(c_Set_Oinsert(X35,X37,X38),X36))
      | ~ hBOOL(hAPP(X37,X36)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_708])])]) ).

fof(c_0_1148,plain,
    ! [X56,X57,X58] :
      ( ~ class_Orderings_Olinorder(X58)
      | c_lessequals(c_Finite__Set_Olinorder__class_OMax(X57,X58),c_Finite__Set_Olinorder__class_OMax(X56,X58),X58)
      | ~ c_Finite__Set_Ofinite(X56,X58)
      | X57 = c_Orderings_Obot__class_Obot(tc_fun(X58,tc_bool))
      | ~ c_lessequals(X57,X56,tc_fun(X58,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_709]) ).

fof(c_0_1149,plain,
    ! [X56,X57,X58] :
      ( ~ class_Orderings_Olinorder(X58)
      | c_lessequals(c_Finite__Set_Olinorder__class_OMin(X56,X58),c_Finite__Set_Olinorder__class_OMin(X57,X58),X58)
      | ~ c_Finite__Set_Ofinite(X56,X58)
      | X57 = c_Orderings_Obot__class_Obot(tc_fun(X58,tc_bool))
      | ~ c_lessequals(X57,X56,tc_fun(X58,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_710]) ).

fof(c_0_1150,plain,
    ! [X17,X18,X19] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X19,tc_bool)),X18),X17) = c_Orderings_Obot__class_Obot(tc_fun(X19,tc_bool))
      | c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__1(X18,X17,X19) = c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__2(X18,X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_711]) ).

fof(c_0_1151,plain,
    ! [X15,X16,X17] :
      ( hBOOL(hAPP(X16,X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X17),X15),c_Collect(X16,X17))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_712])])]) ).

fof(c_0_1152,plain,
    ! [X16,X17,X18] :
      ( ~ class_Orderings_Olinorder(X18)
      | c_lessequals(c_Finite__Set_Olinorder__class_OMin(X17,X18),X16,X18)
      | ~ hBOOL(hAPP(hAPP(c_in(X18),X16),X17))
      | ~ c_Finite__Set_Ofinite(X17,X18) ),
    inference(variable_rename,[status(thm)],[c_0_713]) ).

fof(c_0_1153,plain,
    ! [X16,X17,X18] :
      ( ~ class_Orderings_Olinorder(X18)
      | c_lessequals(X16,c_Finite__Set_Olinorder__class_OMax(X17,X18),X18)
      | ~ hBOOL(hAPP(hAPP(c_in(X18),X16),X17))
      | ~ c_Finite__Set_Ofinite(X17,X18) ),
    inference(variable_rename,[status(thm)],[c_0_714]) ).

fof(c_0_1154,plain,
    ! [X17,X18,X19] :
      ( ~ class_HOL_Ominus(X19)
      | hAPP(c_HOL_Ominus__class_Ominus(X18,X17,tc_fun(t_a,X19)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(X18,v_x),hAPP(X17,v_x),X19) ),
    inference(variable_rename,[status(thm)],[c_0_715]) ).

fof(c_0_1155,plain,
    ! [X16,X17] :
      ( ~ class_Orderings_Olinorder(X17)
      | hBOOL(hAPP(hAPP(c_in(X17),c_Finite__Set_Olinorder__class_OMin(X16,X17)),X16))
      | X16 = c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool))
      | ~ c_Finite__Set_Ofinite(X16,X17) ),
    inference(variable_rename,[status(thm)],[c_0_716]) ).

fof(c_0_1156,plain,
    ! [X16,X17] :
      ( ~ class_Orderings_Olinorder(X17)
      | hBOOL(hAPP(hAPP(c_in(X17),c_Finite__Set_Olinorder__class_OMax(X16,X17)),X16))
      | X16 = c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool))
      | ~ c_Finite__Set_Ofinite(X16,X17) ),
    inference(variable_rename,[status(thm)],[c_0_717]) ).

fof(c_0_1157,plain,
    ! [X17,X18,X19] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X19,tc_bool)),X18),X17) = X18
      | ~ c_lessequals(X18,X17,tc_fun(X19,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_718]) ).

fof(c_0_1158,plain,
    ! [X17,X18,X19] :
      ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X19,tc_bool)),X18),X17) = X17
      | ~ c_lessequals(X17,X18,tc_fun(X19,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_719]) ).

fof(c_0_1159,plain,
    ! [X17,X18,X19] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X19,tc_bool)),X18),X17) = X17
      | ~ c_lessequals(X18,X17,tc_fun(X19,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_720]) ).

fof(c_0_1160,plain,
    ! [X17,X18,X19] :
      ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X19,tc_bool)),X18),X17) = X18
      | ~ c_lessequals(X17,X18,tc_fun(X19,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_721]) ).

fof(c_0_1161,plain,
    ! [X40,X41,X42,X43] :
      ( ~ class_HOL_Oord(X42)
      | ~ c_lessequals(X40,X41,tc_fun(X43,X42))
      | ~ c_HOL_Oord__class_Oless(X41,X40,tc_fun(X43,X42)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_722])])]) ).

fof(c_0_1162,plain,
    ! [X34,X35,X36,X37,X38] :
      ( hAPP(hAPP(X34,X37),hAPP(hAPP(X34,X36),X35)) = hAPP(hAPP(X34,X36),hAPP(hAPP(X34,X37),X35))
      | ~ c_OrderedGroup_Oab__semigroup__mult(X34,X38) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_723])])]) ).

fof(c_0_1163,plain,
    ! [X34,X35,X36,X37,X38] :
      ( c_Set_Oinsert(X35,X34,X37) != c_Orderings_Obot__class_Obot(tc_fun(X37,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X37),X35),X34))
      | ~ c_OrderedGroup_Oab__semigroup__mult(X36,X38) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_724])])]) ).

fof(c_0_1164,plain,
    ! [X16,X17,X18] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X18)
      | c_lessequals(X16,c_Complete__Lattice_OSup__class_OSup(X17,X18),X18)
      | ~ hBOOL(hAPP(hAPP(c_in(X18),X16),X17)) ),
    inference(variable_rename,[status(thm)],[c_0_725]) ).

fof(c_0_1165,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_Lattices_Olower__semilattice(X18)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X18),X17),X16),X15,X18)
      | ~ c_HOL_Oord__class_Oless(X16,X15,X18) ),
    inference(variable_rename,[status(thm)],[c_0_726]) ).

fof(c_0_1166,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_Lattices_Olower__semilattice(X18)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X18),X17),X16),X15,X18)
      | ~ c_HOL_Oord__class_Oless(X17,X15,X18) ),
    inference(variable_rename,[status(thm)],[c_0_727]) ).

fof(c_0_1167,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_Lattices_Olower__semilattice(X18)
      | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X18),X17),X16),X15,X18)
      | ~ c_lessequals(X17,X15,X18) ),
    inference(variable_rename,[status(thm)],[c_0_728]) ).

fof(c_0_1168,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_Lattices_Olower__semilattice(X18)
      | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X18),X17),X16),X15,X18)
      | ~ c_lessequals(X16,X15,X18) ),
    inference(variable_rename,[status(thm)],[c_0_729]) ).

fof(c_0_1169,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_Lattices_Oupper__semilattice(X18)
      | c_HOL_Oord__class_Oless(X15,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X18),X17),X16),X18)
      | ~ c_HOL_Oord__class_Oless(X15,X17,X18) ),
    inference(variable_rename,[status(thm)],[c_0_730]) ).

fof(c_0_1170,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_Lattices_Oupper__semilattice(X18)
      | c_HOL_Oord__class_Oless(X15,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X18),X17),X16),X18)
      | ~ c_HOL_Oord__class_Oless(X15,X16,X18) ),
    inference(variable_rename,[status(thm)],[c_0_731]) ).

fof(c_0_1171,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_Lattices_Oupper__semilattice(X18)
      | c_lessequals(X15,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X18),X17),X16),X18)
      | ~ c_lessequals(X15,X16,X18) ),
    inference(variable_rename,[status(thm)],[c_0_732]) ).

fof(c_0_1172,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_Lattices_Oupper__semilattice(X18)
      | c_lessequals(X15,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X18),X17),X16),X18)
      | ~ c_lessequals(X15,X17,X18) ),
    inference(variable_rename,[status(thm)],[c_0_733]) ).

fof(c_0_1173,plain,
    ! [X17,X18,X19] :
      ( X18 = X17
      | ~ c_lessequals(X17,X18,tc_fun(X19,tc_bool))
      | ~ c_lessequals(X18,X17,tc_fun(X19,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_734])])]) ).

fof(c_0_1174,plain,
    ! [X17,X18,X19] :
      ( X18 = X17
      | ~ c_lessequals(X17,X18,tc_fun(X19,tc_bool))
      | ~ c_lessequals(X18,X17,tc_fun(X19,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_735])])]) ).

fof(c_0_1175,plain,
    ! [X40,X41,X42,X43,X44] :
      ( ~ class_HOL_Oord(X43)
      | c_lessequals(hAPP(X42,X40),hAPP(X41,X40),X43)
      | ~ c_lessequals(X42,X41,tc_fun(X44,X43)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_736])])]) ).

fof(c_0_1176,plain,
    ! [X16,X17] :
      ( hBOOL(hAPP(hAPP(c_in(X17),c_ATP__Linkup_Osko__Set__Xex__in__conv__1__1(X16,X17)),X16))
      | X16 = c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_737]) ).

fof(c_0_1177,plain,
    ! [X16,X17] :
      ( X16 = c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X17),c_ATP__Linkup_Osko__Set__Xall__not__in__conv__1__1(X16,X17)),X16)) ),
    inference(variable_rename,[status(thm)],[c_0_738]) ).

fof(c_0_1178,plain,
    ! [X16,X17] :
      ( X16 = c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X17),c_ATP__Linkup_Osko__Set__Xequals0I__1__1(X16,X17)),X16)) ),
    inference(variable_rename,[status(thm)],[c_0_739]) ).

fof(c_0_1179,plain,
    ! [X13,X14,X15] :
      ( c_Set_Oinsert(X14,X13,X15) != c_Orderings_Obot__class_Obot(tc_fun(X15,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X15),X14),X13)) ),
    inference(variable_rename,[status(thm)],[c_0_740]) ).

fof(c_0_1180,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Orderings_Opreorder(X38)
      | c_HOL_Oord__class_Oless(X37,X35,X38)
      | ~ c_HOL_Oord__class_Oless(X36,X35,X38)
      | ~ c_HOL_Oord__class_Oless(X37,X36,X38) ),
    inference(variable_rename,[status(thm)],[c_0_741]) ).

fof(c_0_1181,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Orderings_Oorder(X38)
      | c_HOL_Oord__class_Oless(X35,X37,X38)
      | ~ c_HOL_Oord__class_Oless(X35,X36,X38)
      | ~ c_HOL_Oord__class_Oless(X36,X37,X38) ),
    inference(variable_rename,[status(thm)],[c_0_742]) ).

fof(c_0_1182,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Orderings_Oorder(X38)
      | c_lessequals(X35,X37,X38)
      | ~ c_lessequals(X35,X36,X38)
      | ~ c_lessequals(X36,X37,X38) ),
    inference(variable_rename,[status(thm)],[c_0_743]) ).

fof(c_0_1183,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Orderings_Oorder(X38)
      | c_HOL_Oord__class_Oless(X35,X37,X38)
      | ~ c_lessequals(X35,X36,X38)
      | ~ c_HOL_Oord__class_Oless(X36,X37,X38) ),
    inference(variable_rename,[status(thm)],[c_0_744]) ).

fof(c_0_1184,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Orderings_Oorder(X38)
      | c_HOL_Oord__class_Oless(X35,X37,X38)
      | ~ c_HOL_Oord__class_Oless(X35,X36,X38)
      | ~ c_lessequals(X36,X37,X38) ),
    inference(variable_rename,[status(thm)],[c_0_745]) ).

fof(c_0_1185,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Orderings_Opreorder(X38)
      | c_lessequals(X37,X35,X38)
      | ~ c_lessequals(X36,X35,X38)
      | ~ c_lessequals(X37,X36,X38) ),
    inference(variable_rename,[status(thm)],[c_0_746]) ).

fof(c_0_1186,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Orderings_Opreorder(X38)
      | c_HOL_Oord__class_Oless(X37,X35,X38)
      | ~ c_HOL_Oord__class_Oless(X36,X35,X38)
      | ~ c_lessequals(X37,X36,X38) ),
    inference(variable_rename,[status(thm)],[c_0_747]) ).

fof(c_0_1187,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Orderings_Opreorder(X38)
      | c_HOL_Oord__class_Oless(X37,X35,X38)
      | ~ c_lessequals(X36,X35,X38)
      | ~ c_HOL_Oord__class_Oless(X37,X36,X38) ),
    inference(variable_rename,[status(thm)],[c_0_748]) ).

fof(c_0_1188,plain,
    ! [X15,X16] :
      ( ~ class_Orderings_Olinorder(X16)
      | c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(X15,c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool)),X16),X16) = X15 ),
    inference(variable_rename,[status(thm)],[c_0_749]) ).

fof(c_0_1189,plain,
    ! [X15,X16] :
      ( ~ class_Orderings_Olinorder(X16)
      | c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(X15,c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool)),X16),X16) = X15 ),
    inference(variable_rename,[status(thm)],[c_0_750]) ).

fof(c_0_1190,plain,
    ! [X15,X16] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X16)
      | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X15,c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool)),X16),X16) = X15 ),
    inference(variable_rename,[status(thm)],[c_0_751]) ).

fof(c_0_1191,plain,
    ! [X16,X17] :
      ( X16 = c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool))
      | ~ c_lessequals(X16,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)),tc_fun(X17,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_752]) ).

fof(c_0_1192,plain,
    ! [X54,X55,X56,X57] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X56,X54,X57)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X56,X55,X57)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X55,X54,X57) ),
    inference(variable_rename,[status(thm)],[c_0_753]) ).

fof(c_0_1193,plain,
    ! [X16,X17,X18] :
      ( c_Set_Oinsert(X16,X17,X18) = X17
      | ~ hBOOL(hAPP(hAPP(c_in(X18),X16),X17)) ),
    inference(variable_rename,[status(thm)],[c_0_754]) ).

fof(c_0_1194,plain,
    ! [X40,X41,X42,X43] :
      ( ~ class_HOL_Oord(X42)
      | c_lessequals(X41,X40,tc_fun(X43,X42))
      | ~ c_HOL_Oord__class_Oless(X41,X40,tc_fun(X43,X42)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_755])])]) ).

fof(c_0_1195,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Oupper__semilattice(X37)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X37),X36),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X37),X36),X35)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X37),X36),X35) ),
    inference(variable_rename,[status(thm)],[c_0_756]) ).

fof(c_0_1196,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Olattice(X37)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X37),X36),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X37),X36),X35)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X37),X36),X35) ),
    inference(variable_rename,[status(thm)],[c_0_757]) ).

fof(c_0_1197,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Olattice(X37)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X37),X36),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X37),X36),X35)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X37),X36),X35) ),
    inference(variable_rename,[status(thm)],[c_0_758]) ).

fof(c_0_1198,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Olower__semilattice(X37)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X37),X36),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X37),X36),X35)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X37),X36),X35) ),
    inference(variable_rename,[status(thm)],[c_0_759]) ).

fof(c_0_1199,plain,
    ! [X17,X18,X19] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X18,X17,tc_fun(X19,tc_bool)),X19)
      | ~ c_Finite__Set_Ofinite(X18,X19)
      | ~ c_Finite__Set_Ofinite(X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_760]) ).

fof(c_0_1200,plain,
    ! [X15,X16,X17] :
      ( hBOOL(hAPP(hAPP(c_in(X17),X15),c_Collect(X16,X17)))
      | ~ hBOOL(hAPP(X16,X15)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_761])])]) ).

fof(c_0_1201,plain,
    ! [X16,X17,X18] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X18)
      | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X16,X17,X18),X18) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X18),X16),c_Complete__Lattice_OSup__class_OSup(X17,X18)) ),
    inference(variable_rename,[status(thm)],[c_0_762]) ).

fof(c_0_1202,plain,
    ! [X16,X17,X18] :
      ( c_Finite__Set_Ofinite(X17,X18)
      | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X16,X17,X18),X18) ),
    inference(variable_rename,[status(thm)],[c_0_763]) ).

fof(c_0_1203,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Opreorder(X37)
      | c_HOL_Oord__class_Oless(X36,X35,X37)
      | c_lessequals(X35,X36,X37)
      | ~ c_lessequals(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_764]) ).

fof(c_0_1204,plain,
    ! [X17,X18,X19] :
      ( c_HOL_Oord__class_Oless(X18,X17,tc_fun(X19,tc_bool))
      | X18 = X17
      | ~ c_lessequals(X18,X17,tc_fun(X19,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_765]) ).

fof(c_0_1205,plain,
    ! [X17,X18,X19] :
      ( X18 = X17
      | c_HOL_Oord__class_Oless(X18,X17,tc_fun(X19,tc_bool))
      | ~ c_lessequals(X18,X17,tc_fun(X19,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_766])])]) ).

fof(c_0_1206,plain,
    ! [X47,X48,X49,X50] :
      ( hBOOL(hAPP(X48,X47))
      | ~ hBOOL(hAPP(X49,X47))
      | ~ c_lessequals(X49,X48,tc_fun(X50,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_767])])]) ).

fof(c_0_1207,plain,
    ! [X47,X48,X49,X50] :
      ( hBOOL(hAPP(X48,X47))
      | ~ c_lessequals(X49,X48,tc_fun(X50,tc_bool))
      | ~ hBOOL(hAPP(X49,X47)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_768])])]) ).

fof(c_0_1208,plain,
    ! [X17,X18,X19] :
      ( c_lessequals(X18,X17,tc_fun(X19,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X18,X17,tc_fun(X19,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_769]) ).

fof(c_0_1209,plain,
    ! [X9,X10,X11] :
      ( hBOOL(hAPP(X10,X9))
      | ~ hBOOL(hAPP(hAPP(c_in(X11),X9),X10)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_770])])]) ).

fof(c_0_1210,plain,
    ! [X17,X18,X19] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X18,X17,tc_fun(X19,tc_bool)),X19)
      | ~ c_Finite__Set_Ofinite(X18,X19) ),
    inference(variable_rename,[status(thm)],[c_0_771]) ).

fof(c_0_1211,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Oorder(X37)
      | X36 = X35
      | ~ c_lessequals(X35,X36,X37)
      | ~ c_lessequals(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_772]) ).

fof(c_0_1212,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Oorder(X37)
      | X36 = X35
      | ~ c_lessequals(X35,X36,X37)
      | ~ c_lessequals(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_773]) ).

fof(c_0_1213,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Oorder(X37)
      | X36 = X35
      | ~ c_lessequals(X36,X35,X37)
      | ~ c_lessequals(X35,X36,X37) ),
    inference(variable_rename,[status(thm)],[c_0_774]) ).

fof(c_0_1214,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_OrderedGroup_Oab__group__add(X38)
      | c_HOL_Ominus__class_Ominus(X36,X35,X38) != c_HOL_Ominus__class_Ominus(X37,X37,X38)
      | X36 = X35 ),
    inference(variable_rename,[status(thm)],[c_0_775]) ).

fof(c_0_1215,plain,
    ! [X39,X40,X41,X42] :
      ( ~ class_OrderedGroup_Oab__group__add(X42)
      | c_HOL_Ominus__class_Ominus(X41,X41,X42) != c_HOL_Ominus__class_Ominus(X40,X39,X42)
      | X40 = X39 ),
    inference(variable_rename,[status(thm)],[c_0_776]) ).

fof(c_0_1216,plain,
    ! [X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | ~ c_lessequals(X7,X7,X8)
      | ~ c_HOL_Oord__class_Oless(X7,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_777]) ).

fof(c_0_1217,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Olinorder(X37)
      | ~ c_HOL_Oord__class_Oless(X36,X35,X37)
      | ~ c_lessequals(X35,X36,X37) ),
    inference(variable_rename,[status(thm)],[c_0_778]) ).

fof(c_0_1218,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Olinorder(X37)
      | ~ c_lessequals(X36,X35,X37)
      | ~ c_HOL_Oord__class_Oless(X35,X36,X37) ),
    inference(variable_rename,[status(thm)],[c_0_779]) ).

fof(c_0_1219,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Opreorder(X37)
      | ~ c_lessequals(X35,X36,X37)
      | ~ c_HOL_Oord__class_Oless(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_780]) ).

fof(c_0_1220,plain,
    ! [X15,X16,X17] :
      ( ~ class_Orderings_Oorder(X17)
      | ~ c_HOL_Oord__class_Oless(X16,X15,X17)
      | ~ c_HOL_Oord__class_Oless(X15,X16,X17) ),
    inference(variable_rename,[status(thm)],[c_0_781]) ).

fof(c_0_1221,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Olinorder(X37)
      | ~ c_HOL_Oord__class_Oless(X36,X35,X37)
      | ~ c_HOL_Oord__class_Oless(X35,X36,X37) ),
    inference(variable_rename,[status(thm)],[c_0_782]) ).

fof(c_0_1222,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Opreorder(X37)
      | ~ c_HOL_Oord__class_Oless(X35,X36,X37)
      | ~ c_HOL_Oord__class_Oless(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_783]) ).

fof(c_0_1223,plain,
    ! [X15,X16,X17] :
      ( ~ class_Orderings_Opreorder(X17)
      | ~ c_HOL_Oord__class_Oless(X15,X16,X17)
      | ~ c_HOL_Oord__class_Oless(X16,X15,X17) ),
    inference(variable_rename,[status(thm)],[c_0_784]) ).

fof(c_0_1224,plain,
    ! [X4,X5,X6] :
      ( X5 = X4
      | ~ hBOOL(hAPP(hAPP(c_fequal(X6),X5),X4)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_785])])]) ).

fof(c_0_1225,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Oupper__semilattice(X37)
      | c_lessequals(X36,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X37),X36),X35),X37) ),
    inference(variable_rename,[status(thm)],[c_0_786]) ).

fof(c_0_1226,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Oupper__semilattice(X37)
      | c_lessequals(X35,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X37),X36),X35),X37) ),
    inference(variable_rename,[status(thm)],[c_0_787]) ).

fof(c_0_1227,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Olattice(X37)
      | c_lessequals(X35,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X37),X36),X35),X37) ),
    inference(variable_rename,[status(thm)],[c_0_788]) ).

fof(c_0_1228,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Olattice(X37)
      | c_lessequals(X36,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X37),X36),X35),X37) ),
    inference(variable_rename,[status(thm)],[c_0_789]) ).

fof(c_0_1229,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Olattice(X37)
      | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X37),X36),X35),X36,X37) ),
    inference(variable_rename,[status(thm)],[c_0_790]) ).

fof(c_0_1230,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Olattice(X37)
      | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X37),X36),X35),X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_791]) ).

fof(c_0_1231,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Olower__semilattice(X37)
      | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X37),X36),X35),X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_792]) ).

fof(c_0_1232,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Olower__semilattice(X37)
      | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X37),X36),X35),X36,X37) ),
    inference(variable_rename,[status(thm)],[c_0_793]) ).

fof(c_0_1233,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Olattice(X37)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X37),X36),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X37),X36),X35)) = X36 ),
    inference(variable_rename,[status(thm)],[c_0_794]) ).

fof(c_0_1234,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Olattice(X37)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X37),X36),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X37),X36),X35)) = X36 ),
    inference(variable_rename,[status(thm)],[c_0_795]) ).

fof(c_0_1235,plain,
    ! [X17,X18,X19] :
      ( c_Finite__Set_Ofinite(X18,X19)
      | ~ c_Finite__Set_Ofinite(X17,X19)
      | ~ c_lessequals(X18,X17,tc_fun(X19,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_796]) ).

fof(c_0_1236,plain,
    ! [X17,X18,X19] :
      ( c_Finite__Set_Ofinite(X18,X19)
      | ~ c_lessequals(X18,X17,tc_fun(X19,tc_bool))
      | ~ c_Finite__Set_Ofinite(X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_797]) ).

fof(c_0_1237,plain,
    ! [X9,X10,X11] :
      ( hBOOL(hAPP(hAPP(c_in(X11),X9),X10))
      | ~ hBOOL(hAPP(X10,X9)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_798])])]) ).

fof(c_0_1238,plain,
    ! [X21,X22,X23] :
      ( c_Hoare__Mirabelle_Otriple__valid(X22,X21,X23)
      | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X22),X21,X23) ),
    inference(variable_rename,[status(thm)],[c_0_799]) ).

fof(c_0_1239,plain,
    ! [X15,X16,X17] :
      ( ~ class_Orderings_Oorder(X17)
      | c_HOL_Oord__class_Oless(X15,X16,X17)
      | X16 = X15
      | ~ c_lessequals(X15,X16,X17) ),
    inference(variable_rename,[status(thm)],[c_0_800]) ).

fof(c_0_1240,plain,
    ! [X15,X16,X17] :
      ( ~ class_Orderings_Oorder(X17)
      | c_HOL_Oord__class_Oless(X15,X16,X17)
      | ~ c_lessequals(X15,X16,X17)
      | X16 = X15 ),
    inference(variable_rename,[status(thm)],[c_0_801]) ).

fof(c_0_1241,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Oorder(X37)
      | X36 = X35
      | c_HOL_Oord__class_Oless(X36,X35,X37)
      | ~ c_lessequals(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_802]) ).

fof(c_0_1242,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Oorder(X37)
      | c_HOL_Oord__class_Oless(X36,X35,X37)
      | X36 = X35
      | ~ c_lessequals(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_803]) ).

fof(c_0_1243,plain,
    ! [X15,X16,X17] :
      ( ~ class_Orderings_Oorder(X17)
      | c_HOL_Oord__class_Oless(X16,X15,X17)
      | X16 = X15
      | ~ c_lessequals(X16,X15,X17) ),
    inference(variable_rename,[status(thm)],[c_0_804]) ).

fof(c_0_1244,plain,
    ! [X15,X16,X17] :
      ( ~ class_Orderings_Oorder(X17)
      | c_HOL_Oord__class_Oless(X16,X15,X17)
      | ~ c_lessequals(X16,X15,X17)
      | X16 = X15 ),
    inference(variable_rename,[status(thm)],[c_0_805]) ).

fof(c_0_1245,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Olinorder(X37)
      | X36 = X35
      | ~ c_lessequals(X36,X35,X37)
      | c_HOL_Oord__class_Oless(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_806]) ).

fof(c_0_1246,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Olinorder(X37)
      | X36 = X35
      | c_HOL_Oord__class_Oless(X36,X35,X37)
      | ~ c_lessequals(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_807]) ).

fof(c_0_1247,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Oorder(X37)
      | c_lessequals(X36,X35,X37)
      | ~ c_HOL_Oord__class_Oless(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_808]) ).

fof(c_0_1248,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Opreorder(X37)
      | c_lessequals(X36,X35,X37)
      | ~ c_HOL_Oord__class_Oless(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_809]) ).

fof(c_0_1249,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Olower__semilattice(X37)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X37),X36),X35) = X36
      | ~ c_lessequals(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_810]) ).

fof(c_0_1250,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Olower__semilattice(X37)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X37),X36),X35) = X35
      | ~ c_lessequals(X35,X36,X37) ),
    inference(variable_rename,[status(thm)],[c_0_811]) ).

fof(c_0_1251,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Oupper__semilattice(X37)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X37),X36),X35) = X36
      | ~ c_lessequals(X35,X36,X37) ),
    inference(variable_rename,[status(thm)],[c_0_812]) ).

fof(c_0_1252,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Oupper__semilattice(X37)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X37),X36),X35) = X35
      | ~ c_lessequals(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_813]) ).

fof(c_0_1253,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Olower__semilattice(X37)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X37),X36),X35) != X36
      | c_lessequals(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_814]) ).

fof(c_0_1254,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Oupper__semilattice(X37)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X37),X36),X35) != X35
      | c_lessequals(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_815]) ).

fof(c_0_1255,plain,
    ! [X16,X17,X18] :
      ( c_Finite__Set_Ofinite(c_Set_Oinsert(X16,X17,X18),X18)
      | ~ c_Finite__Set_Ofinite(X17,X18) ),
    inference(variable_rename,[status(thm)],[c_0_816]) ).

fof(c_0_1256,plain,
    ! [X16,X17] :
      ( X16 = c_Set_Oinsert(c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(X16,X17),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(X16,X17),X17)
      | X16 = c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_817]) ).

fof(c_0_1257,plain,
    ! [X35,X36,X37] :
      ( ~ class_Ring__and__Field_Oordered__idom(X37)
      | c_HOL_Oord__class_Oless(X35,X36,X37)
      | c_HOL_Oord__class_Oless(X36,X35,X37)
      | X36 = X35 ),
    inference(variable_rename,[status(thm)],[c_0_818]) ).

fof(c_0_1258,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Olinorder(X37)
      | X36 = X35
      | c_HOL_Oord__class_Oless(X35,X36,X37)
      | c_HOL_Oord__class_Oless(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_819]) ).

fof(c_0_1259,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Olinorder(X37)
      | c_HOL_Oord__class_Oless(X35,X36,X37)
      | c_HOL_Oord__class_Oless(X36,X35,X37)
      | X36 = X35 ),
    inference(variable_rename,[status(thm)],[c_0_820]) ).

fof(c_0_1260,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Olinorder(X37)
      | c_HOL_Oord__class_Oless(X35,X36,X37)
      | X36 = X35
      | c_HOL_Oord__class_Oless(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_821]) ).

fof(c_0_1261,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Olinorder(X37)
      | X36 = X35
      | c_HOL_Oord__class_Oless(X36,X35,X37)
      | c_HOL_Oord__class_Oless(X35,X36,X37) ),
    inference(variable_rename,[status(thm)],[c_0_822]) ).

fof(c_0_1262,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Olinorder(X37)
      | c_HOL_Oord__class_Oless(X36,X35,X37)
      | c_lessequals(X35,X36,X37) ),
    inference(variable_rename,[status(thm)],[c_0_823]) ).

fof(c_0_1263,plain,
    ! [X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_HOL_Oord__class_Oless(X7,X7,X8)
      | c_lessequals(X7,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_824]) ).

fof(c_0_1264,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Olinorder(X37)
      | c_lessequals(X35,X36,X37)
      | c_HOL_Oord__class_Oless(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_825]) ).

fof(c_0_1265,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Olinorder(X37)
      | c_HOL_Oord__class_Oless(X35,X36,X37)
      | c_lessequals(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_826]) ).

fof(c_0_1266,plain,
    ! [X35,X36,X37] :
      ( ~ class_Orderings_Olinorder(X37)
      | c_lessequals(X35,X36,X37)
      | c_lessequals(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_827]) ).

fof(c_0_1267,plain,
    ! [X8,X9,X10] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X10,tc_bool)) != c_Collect(X9,X10)
      | ~ hBOOL(hAPP(X9,X8)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_828])])]) ).

fof(c_0_1268,plain,
    ! [X8,X9,X10] :
      ( c_Collect(X9,X10) != c_Orderings_Obot__class_Obot(tc_fun(X10,tc_bool))
      | ~ hBOOL(hAPP(X9,X8)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_829])])]) ).

fof(c_0_1269,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Olower__semilattice(X37)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X37),X36),X35) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X37),X35),X36) ),
    inference(variable_rename,[status(thm)],[c_0_830]) ).

fof(c_0_1270,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Olattice(X37)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X37),X36),X35) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X37),X35),X36) ),
    inference(variable_rename,[status(thm)],[c_0_831]) ).

fof(c_0_1271,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Oupper__semilattice(X37)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X37),X36),X35) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X37),X35),X36) ),
    inference(variable_rename,[status(thm)],[c_0_832]) ).

fof(c_0_1272,plain,
    ! [X35,X36,X37] :
      ( ~ class_Lattices_Olattice(X37)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X37),X36),X35) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X37),X35),X36) ),
    inference(variable_rename,[status(thm)],[c_0_833]) ).

fof(c_0_1273,plain,
    ! [X34,X35,X36,X37] :
      ( hAPP(hAPP(X34,X36),X35) = hAPP(hAPP(X34,X35),X36)
      | ~ c_OrderedGroup_Oab__semigroup__mult(X34,X37) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_834])])]) ).

fof(c_0_1274,plain,
    ! [X17,X18,X19] :
      ( ~ class_Lattices_Obounded__lattice(X19)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X19),X18),X17) != c_Orderings_Otop__class_Otop(X19)
      | X17 = c_Orderings_Otop__class_Otop(X19) ),
    inference(variable_rename,[status(thm)],[c_0_835]) ).

fof(c_0_1275,plain,
    ! [X17,X18,X19] :
      ( ~ class_Lattices_Obounded__lattice(X19)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X19),X18),X17) != c_Orderings_Otop__class_Otop(X19)
      | X18 = c_Orderings_Otop__class_Otop(X19) ),
    inference(variable_rename,[status(thm)],[c_0_836]) ).

fof(c_0_1276,plain,
    ! [X17,X18,X19] :
      ( ~ class_Lattices_Obounded__lattice(X19)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X19),X18),X17) != c_Orderings_Obot__class_Obot(X19)
      | X18 = c_Orderings_Obot__class_Obot(X19) ),
    inference(variable_rename,[status(thm)],[c_0_837]) ).

fof(c_0_1277,plain,
    ! [X17,X18,X19] :
      ( ~ class_Lattices_Obounded__lattice(X19)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X19),X18),X17) != c_Orderings_Obot__class_Obot(X19)
      | X17 = c_Orderings_Obot__class_Obot(X19) ),
    inference(variable_rename,[status(thm)],[c_0_838]) ).

fof(c_0_1278,plain,
    ! [X7,X8] :
      ( ~ class_Orderings_Oorder(X8)
      | ~ c_HOL_Oord__class_Oless(X7,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_839]) ).

fof(c_0_1279,plain,
    ! [X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | ~ c_HOL_Oord__class_Oless(X7,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_840]) ).

fof(c_0_1280,plain,
    ! [X7,X8] :
      ( ~ class_Orderings_Opreorder(X8)
      | ~ c_HOL_Oord__class_Oless(X7,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_841]) ).

fof(c_0_1281,plain,
    ! [X4] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X4)
      | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4) = c_Orderings_Otop__class_Otop(X4) ),
    inference(variable_rename,[status(thm)],[c_0_842]) ).

fof(c_0_1282,plain,
    ! [X4] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X4)
      | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4) = c_Orderings_Obot__class_Obot(X4) ),
    inference(variable_rename,[status(thm)],[c_0_843]) ).

fof(c_0_1283,plain,
    ! [X7,X8] :
      ( ~ class_Lattices_Obounded__lattice(X8)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X8),c_Orderings_Otop__class_Otop(X8)),X7) = c_Orderings_Otop__class_Otop(X8) ),
    inference(variable_rename,[status(thm)],[c_0_844]) ).

fof(c_0_1284,plain,
    ! [X10] :
      ( ~ class_Orderings_Otop(X10)
      | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X10)),v_x) = c_Orderings_Otop__class_Otop(X10) ),
    inference(variable_rename,[status(thm)],[c_0_845]) ).

fof(c_0_1285,plain,
    ! [X7,X8] :
      ( ~ class_Lattices_Obounded__lattice(X8)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X8),c_Orderings_Obot__class_Obot(X8)),X7) = c_Orderings_Obot__class_Obot(X8) ),
    inference(variable_rename,[status(thm)],[c_0_846]) ).

fof(c_0_1286,plain,
    ! [X10] :
      ( ~ class_Orderings_Obot(X10)
      | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X10)),v_x) = c_Orderings_Obot__class_Obot(X10) ),
    inference(variable_rename,[status(thm)],[c_0_847]) ).

fof(c_0_1287,plain,
    ! [X4] :
      ( ~ class_Finite__Set_Ofinite_Ofinite(X4)
      | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4) ),
    inference(variable_rename,[status(thm)],[c_0_848]) ).

fof(c_0_1288,plain,
    ! [X7,X8] :
      ( ~ class_Lattices_Obounded__lattice(X8)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X8),c_Orderings_Otop__class_Otop(X8)),X7) = X7 ),
    inference(variable_rename,[status(thm)],[c_0_849]) ).

fof(c_0_1289,plain,
    ! [X7,X8] :
      ( ~ class_Lattices_Obounded__lattice(X8)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X8),c_Orderings_Obot__class_Obot(X8)),X7) = X7 ),
    inference(variable_rename,[status(thm)],[c_0_850]) ).

fof(c_0_1290,plain,
    ! [X7,X8] :
      ( ~ class_Lattices_Obounded__lattice(X8)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X8),X7),c_Orderings_Otop__class_Otop(X8)) = c_Orderings_Otop__class_Otop(X8) ),
    inference(variable_rename,[status(thm)],[c_0_851]) ).

fof(c_0_1291,plain,
    ! [X7,X8] :
      ( ~ class_Lattices_Obounded__lattice(X8)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X8),X7),c_Orderings_Obot__class_Obot(X8)) = c_Orderings_Obot__class_Obot(X8) ),
    inference(variable_rename,[status(thm)],[c_0_852]) ).

fof(c_0_1292,plain,
    ! [X7,X8] :
      ( ~ class_Orderings_Otop(X8)
      | c_lessequals(X7,c_Orderings_Otop__class_Otop(X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_853]) ).

fof(c_0_1293,plain,
    ! [X7,X8] :
      ( ~ class_Orderings_Obot(X8)
      | c_lessequals(c_Orderings_Obot__class_Obot(X8),X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_854]) ).

fof(c_0_1294,plain,
    ! [X7,X8] :
      ( ~ class_Lattices_Obounded__lattice(X8)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X8),X7),c_Orderings_Otop__class_Otop(X8)) = X7 ),
    inference(variable_rename,[status(thm)],[c_0_855]) ).

fof(c_0_1295,plain,
    ! [X7,X8] :
      ( ~ class_Lattices_Obounded__lattice(X8)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X8),X7),c_Orderings_Obot__class_Obot(X8)) = X7 ),
    inference(variable_rename,[status(thm)],[c_0_856]) ).

fof(c_0_1296,plain,
    ! [X7,X8] :
      ( ~ class_Orderings_Oorder(X8)
      | c_lessequals(X7,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_857]) ).

fof(c_0_1297,plain,
    ! [X7,X8] :
      ( ~ class_Orderings_Opreorder(X8)
      | c_lessequals(X7,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_858]) ).

fof(c_0_1298,plain,
    ! [X7,X8] :
      ( ~ class_Lattices_Oupper__semilattice(X8)
      | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X8),X7),X7) = X7 ),
    inference(variable_rename,[status(thm)],[c_0_859]) ).

fof(c_0_1299,plain,
    ! [X7,X8] :
      ( ~ class_Lattices_Olower__semilattice(X8)
      | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X8),X7),X7) = X7 ),
    inference(variable_rename,[status(thm)],[c_0_860]) ).

fof(c_0_1300,plain,
    ! [X6,X7] :
      ( class_Finite__Set_Ofinite_Ofinite(tc_fun(X6,X7))
      | ~ class_Finite__Set_Ofinite_Ofinite(X7)
      | ~ class_Finite__Set_Ofinite_Ofinite(X6) ),
    inference(variable_rename,[status(thm)],[c_0_861]) ).

fof(c_0_1301,plain,
    ! [X6,X7] :
      ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X6,X7))
      | ~ class_Complete__Lattice_Ocomplete__lattice(X7) ),
    inference(variable_rename,[status(thm)],[c_0_862]) ).

fof(c_0_1302,plain,
    ! [X6,X7] :
      ( class_Lattices_Oupper__semilattice(tc_fun(X6,X7))
      | ~ class_Lattices_Olattice(X7) ),
    inference(variable_rename,[status(thm)],[c_0_863]) ).

fof(c_0_1303,plain,
    ! [X6,X7] :
      ( class_Lattices_Olower__semilattice(tc_fun(X6,X7))
      | ~ class_Lattices_Olattice(X7) ),
    inference(variable_rename,[status(thm)],[c_0_864]) ).

fof(c_0_1304,plain,
    ! [X6,X7] :
      ( class_Lattices_Odistrib__lattice(tc_fun(X6,X7))
      | ~ class_Lattices_Odistrib__lattice(X7) ),
    inference(variable_rename,[status(thm)],[c_0_865]) ).

fof(c_0_1305,plain,
    ! [X6,X7] :
      ( class_Lattices_Obounded__lattice(tc_fun(X6,X7))
      | ~ class_Lattices_Obounded__lattice(X7) ),
    inference(variable_rename,[status(thm)],[c_0_866]) ).

fof(c_0_1306,plain,
    ! [X6,X7] :
      ( class_Orderings_Opreorder(tc_fun(X6,X7))
      | ~ class_Orderings_Opreorder(X7) ),
    inference(variable_rename,[status(thm)],[c_0_867]) ).

fof(c_0_1307,plain,
    ! [X6,X7] :
      ( class_Lattices_Olattice(tc_fun(X6,X7))
      | ~ class_Lattices_Olattice(X7) ),
    inference(variable_rename,[status(thm)],[c_0_868]) ).

fof(c_0_1308,plain,
    ! [X6,X7] :
      ( class_Orderings_Oorder(tc_fun(X6,X7))
      | ~ class_Orderings_Oorder(X7) ),
    inference(variable_rename,[status(thm)],[c_0_869]) ).

fof(c_0_1309,plain,
    ! [X6,X7] :
      ( class_Orderings_Otop(tc_fun(X6,X7))
      | ~ class_Orderings_Otop(X7) ),
    inference(variable_rename,[status(thm)],[c_0_870]) ).

fof(c_0_1310,plain,
    ! [X6,X7] :
      ( class_Orderings_Obot(tc_fun(X6,X7))
      | ~ class_Orderings_Obot(X7) ),
    inference(variable_rename,[status(thm)],[c_0_871]) ).

fof(c_0_1311,plain,
    ! [X6,X7] :
      ( class_HOL_Ominus(tc_fun(X6,X7))
      | ~ class_HOL_Ominus(X7) ),
    inference(variable_rename,[status(thm)],[c_0_872]) ).

fof(c_0_1312,plain,
    ! [X6,X7] :
      ( class_HOL_Oord(tc_fun(X6,X7))
      | ~ class_HOL_Oord(X7) ),
    inference(variable_rename,[status(thm)],[c_0_873]) ).

fof(c_0_1313,plain,
    ! [X16,X17] :
      ( ~ class_Finite__Set_Ofinite_Ofinite(X17)
      | c_Finite__Set_Ofinite(X16,X17) ),
    inference(variable_rename,[status(thm)],[c_0_874]) ).

fof(c_0_1314,plain,
    ! [X5] :
      ( class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(X5))
      | ~ class_Finite__Set_Ofinite_Ofinite(X5) ),
    inference(variable_rename,[status(thm)],[c_0_875]) ).

fof(c_0_1315,plain,
    ! [X35,X36] :
      ( c_Suc(X36) != c_Suc(X35)
      | X36 = X35 ),
    inference(variable_rename,[status(thm)],[c_0_876]) ).

fof(c_0_1316,plain,
    ! [X59,X60] :
      ( c_Suc(X60) != c_Suc(X59)
      | X60 = X59 ),
    inference(variable_rename,[status(thm)],[c_0_877]) ).

cnf(c_0_1317,plain,
    ( c_Complete__Lattice_Ocomplete__lattice(X2,X1,c_COMBC(X3,X9,X9,tc_bool),c_COMBC(X4,X9,X9,tc_bool),X6,X5,X8,X7,X9)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(split_conjunct,[status(thm)],[c_0_878]) ).

cnf(c_0_1318,plain,
    ( hAPP(hAPP(X6,X11),hAPP(X2,X10)) = c_Finite__Set_Ofold(X6,X11,X10,X9,X9)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ c_Finite__Set_Ofinite(X10,X9) ),
    inference(split_conjunct,[status(thm)],[c_0_879]) ).

cnf(c_0_1319,plain,
    ( hAPP(hAPP(X5,X11),hAPP(X1,X10)) = c_Finite__Set_Ofold(X5,X11,X10,X9,X9)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ c_Finite__Set_Ofinite(X10,X9) ),
    inference(split_conjunct,[status(thm)],[c_0_880]) ).

cnf(c_0_1320,plain,
    ( hAPP(X2,X10) = c_Finite__Set_Ofold(X6,X7,X10,X9,X9)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ c_Finite__Set_Ofinite(X10,X9) ),
    inference(split_conjunct,[status(thm)],[c_0_881]) ).

cnf(c_0_1321,plain,
    ( hAPP(X1,X10) = c_Finite__Set_Ofold(X5,X8,X10,X9,X9)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ c_Finite__Set_Ofinite(X10,X9) ),
    inference(split_conjunct,[status(thm)],[c_0_882]) ).

cnf(c_0_1322,plain,
    ( hAPP(X2,c_Set_Oinsert(X10,c_Set_Oinsert(X11,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9),X9)) = hAPP(hAPP(X6,X10),X11)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(split_conjunct,[status(thm)],[c_0_883]) ).

cnf(c_0_1323,plain,
    ( hAPP(X1,c_Set_Oinsert(X10,c_Set_Oinsert(X11,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9),X9)) = hAPP(hAPP(X5,X10),X11)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(split_conjunct,[status(thm)],[c_0_884]) ).

cnf(c_0_1324,plain,
    ( hBOOL(hAPP(hAPP(X3,hAPP(X1,X11)),X10))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ hBOOL(hAPP(hAPP(c_in(X9),X10),X11)) ),
    inference(split_conjunct,[status(thm)],[c_0_885]) ).

cnf(c_0_1325,plain,
    ( hBOOL(hAPP(hAPP(X3,X10),hAPP(X2,X11)))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ hBOOL(hAPP(hAPP(c_in(X9),X10),X11)) ),
    inference(split_conjunct,[status(thm)],[c_0_886]) ).

cnf(c_0_1326,plain,
    ( hAPP(X2,c_Set_Oinsert(X10,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9)) = X10
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(split_conjunct,[status(thm)],[c_0_887]) ).

cnf(c_0_1327,plain,
    ( hAPP(X1,c_Set_Oinsert(X10,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9)) = X10
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(split_conjunct,[status(thm)],[c_0_888]) ).

cnf(c_0_1328,plain,
    ( hAPP(X2,c_Set_Oinsert(X10,X11,X9)) = hAPP(hAPP(X6,X10),hAPP(X2,X11))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(split_conjunct,[status(thm)],[c_0_889]) ).

cnf(c_0_1329,plain,
    ( hAPP(X1,c_Set_Oinsert(X10,X11,X9)) = hAPP(hAPP(X5,X10),hAPP(X1,X11))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(split_conjunct,[status(thm)],[c_0_890]) ).

cnf(c_0_1330,plain,
    ( hAPP(X2,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool))) = X8
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(split_conjunct,[status(thm)],[c_0_891]) ).

cnf(c_0_1331,plain,
    ( hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool))) = X7
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(split_conjunct,[status(thm)],[c_0_892]) ).

cnf(c_0_1332,plain,
    ( hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))) = X8
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(split_conjunct,[status(thm)],[c_0_893]) ).

cnf(c_0_1333,plain,
    ( hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))) = X7
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(split_conjunct,[status(thm)],[c_0_894]) ).

cnf(c_0_1334,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),X5),X3))
    | c_Finite__Set_Ofold__image(X1,X6,X7,c_Set_Oinsert(X5,X3,X4),X2,X4) = hAPP(hAPP(X1,hAPP(X6,X5)),c_Finite__Set_Ofold__image(X1,X6,X7,X3,X2,X4))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_895]) ).

cnf(c_0_1335,plain,
    ( hBOOL(hAPP(hAPP(c_in(X2),X3),X4))
    | c_Finite__Set_Ofold__graph(X1,X6,c_Set_Oinsert(X3,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),X5,X2,X2)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X2,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X6),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_896]) ).

cnf(c_0_1336,plain,
    ( c_Finite__Set_Ofold__graph(X1,X2,X3,hAPP(hAPP(X1,X4),X6),X5,X7)
    | ~ c_Finite__Set_Ofold__graph(X1,X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X6,X5,X7)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X4),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_897]) ).

cnf(c_0_1337,plain,
    ( c_Nitpick_Ofold__graph_H(X4,X5,X3,hAPP(hAPP(X4,X2),X6),X1,X7)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_Nitpick_Ofold__graph_H(X4,X5,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X6,X1,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_898]) ).

cnf(c_0_1338,plain,
    ( hBOOL(hAPP(hAPP(c_in(X2),X3),X4))
    | c_Finite__Set_Ofold__graph(X1,X6,c_Set_Oinsert(X3,X4,X2),hAPP(hAPP(X1,X6),X5),X2,X2)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X2,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_899]) ).

cnf(c_0_1339,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Finite__Set_Ofold__graph(X4,X5,c_Set_Oinsert(X2,X3,X1),hAPP(hAPP(X4,X2),X6),X1,X7)
    | ~ c_Finite__Set_Ofold__graph(X4,X5,X3,X6,X1,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_900]) ).

cnf(c_0_1340,plain,
    ( c_Finite__Set_Ofold__image(X1,X7,X8,c_Set_Oimage(X5,X3,X4,X6),X2,X6) = c_Finite__Set_Ofold__image(X1,c_Fun_Ocomp(X7,X5,X6,X2,X4),X8,X3,X2,X4)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X4)
    | ~ c_Fun_Oinj__on(X5,X3,X4,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_901]) ).

cnf(c_0_1341,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),X2),X3))
    | c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,X3,X5),X4,X5)
    | ~ c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X5,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_902]) ).

cnf(c_0_1342,plain,
    ( X4 = X2
    | ~ c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_903]) ).

cnf(c_0_1343,plain,
    ( c_Finite__Set_Ofinite(X3,X5)
    | ~ c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_904]) ).

cnf(c_0_1344,plain,
    ( ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X1,X2)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_905]) ).

cnf(c_0_1345,plain,
    ( c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5)
    | ~ c_Fun_Oinj__on(X1,X3,X2,X5)
    | ~ c_Fun_Oinj__on(X1,X4,X2,X5)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X2,tc_bool)),X2,X5)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X2,tc_bool)),X2,X5)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_906]) ).

cnf(c_0_1346,plain,
    ( hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(c_Fun_Ocomp(X7,X8,X9,X4,X10),X11)
    | hAPP(X1,hAPP(X2,X6)) != hAPP(X7,hAPP(X8,X11)) ),
    inference(split_conjunct,[status(thm)],[c_0_907]) ).

cnf(c_0_1347,plain,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4)
    | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_908]) ).

cnf(c_0_1348,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X1,X5)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X4)))
    | c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_909]) ).

cnf(c_0_1349,plain,
    ( c_Fun_Oinj__on(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X5,c_Set_Oimage(X1,X2,X3,X4),X4,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_910]) ).

cnf(c_0_1350,plain,
    ( hAPP(X1,hAPP(X2,X3)) = hAPP(X4,hAPP(X5,X3))
    | c_Fun_Ocomp(X1,X2,X6,X7,X8) != c_Fun_Ocomp(X4,X5,X9,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_911]) ).

cnf(c_0_1351,plain,
    ( hAPP(X1,hAPP(X2,X3)) = hAPP(X4,X3)
    | c_Fun_Ocomp(X1,X2,X5,X6,X7) != c_Fun_Ocomp(c_Fun_Oid(X6),X4,X6,X6,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_912]) ).

cnf(c_0_1352,plain,
    ( c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X2),X3,c_Set_Oinsert(X4,X1,X2),X2,X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X4),c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X2),X3,X1,X2,X2))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_913]) ).

cnf(c_0_1353,plain,
    ( c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),X3,c_Set_Oinsert(X4,X1,X2),X2,X2) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X4),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),X3,X1,X2,X2))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_914]) ).

cnf(c_0_1354,plain,
    ( c_lessequals(X2,X3,tc_fun(X1,tc_bool))
    | ~ c_lessequals(hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2),hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X3),tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_915]) ).

cnf(c_0_1355,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X2,tc_bool)),X2,X5)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X2,tc_bool)),X2,X5)) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_916]) ).

cnf(c_0_1356,plain,
    ( hAPP(X3,X2) = X4
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X1,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_917]) ).

cnf(c_0_1357,plain,
    ( c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X5),X6),X3,X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_Set_Oimage(X1,X5,X3,X4)),c_Set_Oimage(X1,X6,X3,X4))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_918]) ).

cnf(c_0_1358,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),X4,X1,X2,X2),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_919]) ).

cnf(c_0_1359,plain,
    ( c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X2),X4,X1,X2,X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_920]) ).

cnf(c_0_1360,plain,
    ( c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X4),X5),X2,X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Set_Oimage(X1,X4,X2,X3)),c_Set_Oimage(X1,X5,X2,X3))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_921]) ).

cnf(c_0_1361,plain,
    ( hAPP(c_Fun_Ooverride__on(X4,X5,X3,X1,X6),X2) = hAPP(X5,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_922]) ).

cnf(c_0_1362,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hAPP(c_Fun_Ooverride__on(X4,X5,X3,X1,X6),X2) = hAPP(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_923]) ).

cnf(c_0_1363,plain,
    ( hBOOL(hAPP(hAPP(c_in(X2),X4),X5))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,X5,X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_924]) ).

cnf(c_0_1364,plain,
    ( c_lessequals(hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X1),hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X2),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_925]) ).

cnf(c_0_1365,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1(X2,X3,X1,X4)),X2))
    | c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X1,tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_926]) ).

cnf(c_0_1366,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1(X2,X3,X1,X4)),X2))
    | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X1,tc_fun(X4,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_927]) ).

cnf(c_0_1367,plain,
    ( c_lessequals(X4,X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_928]) ).

cnf(c_0_1368,plain,
    ( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_929]) ).

cnf(c_0_1369,plain,
    ( c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_930]) ).

cnf(c_0_1370,plain,
    ( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X2,tc_bool)),X2,X3) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_931]) ).

cnf(c_0_1371,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_932]) ).

cnf(c_0_1372,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_933]) ).

cnf(c_0_1373,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4)),X1) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_934]) ).

cnf(c_0_1374,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,X5,X2,X3)))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X4),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_935]) ).

cnf(c_0_1375,plain,
    ( X1 = X2
    | hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X1) != hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_936]) ).

cnf(c_0_1376,plain,
    ( hBOOL(hAPP(X2,hAPP(X1,X5)))
    | ~ hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_937]) ).

cnf(c_0_1377,plain,
    ( c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_938]) ).

cnf(c_0_1378,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X1),X2),X4,X5)
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_939]) ).

cnf(c_0_1379,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),X5),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X6,X1,tc_fun(X4,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X5),hAPP(X6,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_940]) ).

cnf(c_0_1380,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),X5),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X6,X1,tc_fun(X4,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X5),hAPP(X6,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_941]) ).

cnf(c_0_1381,plain,
    ( c_Set_Oimage(X3,X1,X2,X2) = X1
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(c_Set_Oimage(X3,X1,X2,X2),X1,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X3,X1,X2,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_942]) ).

cnf(c_0_1382,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_943]) ).

cnf(c_0_1383,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X2,X3,X1),tc_fun(X1,tc_bool))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_944]) ).

cnf(c_0_1384,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_945]) ).

cnf(c_0_1385,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X2,X3,X1),tc_fun(X1,tc_bool))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_946]) ).

cnf(c_0_1386,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_947]) ).

cnf(c_0_1387,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_948]) ).

cnf(c_0_1388,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_949]) ).

cnf(c_0_1389,plain,
    ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X6,tc_bool)),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(X4,X2),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_950]) ).

cnf(c_0_1390,plain,
    ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X6,tc_bool)),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(X4,X2),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_951]) ).

cnf(c_0_1391,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_952]) ).

cnf(c_0_1392,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_953]) ).

cnf(c_0_1393,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_954]) ).

cnf(c_0_1394,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_955]) ).

cnf(c_0_1395,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_956]) ).

cnf(c_0_1396,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_957]) ).

cnf(c_0_1397,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Collect(X4,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_958]) ).

cnf(c_0_1398,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_959]) ).

cnf(c_0_1399,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),c_Complete__Lattice_OSup__class_OSup(X1,X2)) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),X3,X1,X2,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_960]) ).

cnf(c_0_1400,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_961]) ).

cnf(c_0_1401,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X1,X6)),X5))
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_962]) ).

cnf(c_0_1402,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4)),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_963]) ).

cnf(c_0_1403,plain,
    ( c_Complete__Lattice_OSup__class_OSup(X1,X2) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),c_Orderings_Obot__class_Obot(X2),X1,X2,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_964]) ).

cnf(c_0_1404,plain,
    ( hBOOL(hAPP(X4,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Collect(X4,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_965]) ).

cnf(c_0_1405,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_966]) ).

cnf(c_0_1406,plain,
    ( c_lessequals(hAPP(X2,X6),X5,tc_fun(X4,tc_bool))
    | ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_967]) ).

cnf(c_0_1407,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
    | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_968]) ).

cnf(c_0_1408,plain,
    ( c_Set_Ovimage(X1,c_Set_Oimage(X1,X4,X2,X3),X2,X3) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_969]) ).

cnf(c_0_1409,plain,
    ( c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_970]) ).

cnf(c_0_1410,plain,
    ( c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_971]) ).

cnf(c_0_1411,plain,
    ( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_972]) ).

cnf(c_0_1412,plain,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_973]) ).

cnf(c_0_1413,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),hAPP(X5,X2)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X5,X1,tc_fun(X4,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X5,X1,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_974]) ).

cnf(c_0_1414,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_975]) ).

cnf(c_0_1415,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_976]) ).

cnf(c_0_1416,plain,
    ( c_Fun_Oinj__on(X3,X1,X2,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X1,c_Set_Oimage(X3,X1,X2,X2),tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_977]) ).

cnf(c_0_1417,plain,
    ( hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3))
    | ~ hBOOL(hAPP(X1,hAPP(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_978]) ).

cnf(c_0_1418,plain,
    ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
    | hAPP(X2,c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1(X1,X2,X3,X4)) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_979]) ).

cnf(c_0_1419,plain,
    ( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X1,tc_bool))
    | hAPP(X3,c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1(X2,X3,X4,X1)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_980]) ).

cnf(c_0_1420,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_981]) ).

cnf(c_0_1421,plain,
    ( c_Finite__Set_Ofinite(hAPP(X3,X5),X4)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X3,X2,tc_fun(X4,tc_bool)),X4)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X5),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_982]) ).

cnf(c_0_1422,plain,
    ( c_Fun_Oinj__on(X1,X4,X2,X5)
    | ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_983]) ).

cnf(c_0_1423,plain,
    ( c_Fun_Oinj__on(X1,X3,X2,X5)
    | ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_984]) ).

cnf(c_0_1424,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)),X1)
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_985]) ).

cnf(c_0_1425,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),X1)
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_986]) ).

cnf(c_0_1426,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_987]) ).

cnf(c_0_1427,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_988]) ).

cnf(c_0_1428,plain,
    ( hBOOL(hAPP(X2,X4))
    | hBOOL(hAPP(X3,X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_989]) ).

cnf(c_0_1429,plain,
    ( c_Finite__Set_Ofinite(c_Set_Ovimage(X3,X1,X4,X2),X4)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_990]) ).

cnf(c_0_1430,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Collect(X4,X1))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(X4,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_991]) ).

cnf(c_0_1431,plain,
    ( c_Set_Oinsert(hAPP(X4,X2),c_Set_Oimage(X4,X3,X1,X5),X5) = c_Set_Oimage(X4,X3,X1,X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_992]) ).

cnf(c_0_1432,plain,
    ( hBOOL(hAPP(X3,X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_993]) ).

cnf(c_0_1433,plain,
    ( hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_994]) ).

cnf(c_0_1434,plain,
    ( c_Finite__Set_Ofinite(X3,X5)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X3,c_Set_Oimage(X4,X1,X2,X5),tc_fun(X5,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_995]) ).

cnf(c_0_1435,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_996]) ).

cnf(c_0_1436,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X4),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X5),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_997]) ).

cnf(c_0_1437,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X4,X1)),X3) = c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X3),X1)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_998]) ).

cnf(c_0_1438,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_999]) ).

cnf(c_0_1439,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X3)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1000]) ).

cnf(c_0_1440,plain,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1001]) ).

cnf(c_0_1441,plain,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1002]) ).

cnf(c_0_1442,plain,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1003]) ).

cnf(c_0_1443,plain,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1004]) ).

cnf(c_0_1444,plain,
    ( X2 = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1005]) ).

cnf(c_0_1445,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1006]) ).

cnf(c_0_1446,plain,
    ( c_lessequals(hAPP(X4,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1007]) ).

cnf(c_0_1447,plain,
    ( c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1008]) ).

cnf(c_0_1448,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X4,tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1009]) ).

cnf(c_0_1449,plain,
    ( c_Set_Oinsert(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X1) = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1010]) ).

cnf(c_0_1450,plain,
    ( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1011]) ).

cnf(c_0_1451,plain,
    ( X5 = X6
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2))
    | hAPP(X1,X5) != hAPP(X1,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_1012]) ).

cnf(c_0_1452,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1013]) ).

cnf(c_0_1453,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1014]) ).

cnf(c_0_1454,plain,
    ( X2 = X4
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3))
    | ~ c_Fun_Oinj__on(X5,X3,X1,X6)
    | hAPP(X5,X2) != hAPP(X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1015]) ).

cnf(c_0_1455,plain,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1016]) ).

cnf(c_0_1456,plain,
    ( c_Fun_Oinj__on(X1,X5,X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1017]) ).

cnf(c_0_1457,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Set_Oinsert(X2,X4,X1)) = c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1018]) ).

cnf(c_0_1458,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1019]) ).

cnf(c_0_1459,plain,
    ( c_lessequals(hAPP(X4,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,X5),X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1020]) ).

cnf(c_0_1460,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1021]) ).

cnf(c_0_1461,plain,
    ( X2 = X4
    | ~ c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1022]) ).

cnf(c_0_1462,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__2(X2,X3,X1)),X3))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1023]) ).

cnf(c_0_1463,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__1(X2,X3,X1)),X2))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1024]) ).

cnf(c_0_1464,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X1),X3),X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1025]) ).

cnf(c_0_1465,plain,
    ( hAPP(c_Map_Orestrict__map(X4,X3,X1,X5),X2) = hAPP(X4,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1026]) ).

cnf(c_0_1466,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1027]) ).

cnf(c_0_1467,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1028]) ).

cnf(c_0_1468,plain,
    ( hAPP(X4,X2) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1029]) ).

cnf(c_0_1469,plain,
    ( hAPP(X4,X2) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1030]) ).

cnf(c_0_1470,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1031]) ).

cnf(c_0_1471,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1032]) ).

cnf(c_0_1472,plain,
    ( c_lessequals(X1,X4,tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1033]) ).

cnf(c_0_1473,plain,
    ( c_lessequals(X1,X3,tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1034]) ).

cnf(c_0_1474,plain,
    ( c_lessequals(X2,X4,tc_fun(X1,tc_bool))
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1035]) ).

cnf(c_0_1475,plain,
    ( c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1036]) ).

cnf(c_0_1476,plain,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1037]) ).

cnf(c_0_1477,plain,
    ( c_Set_Oimage(c_COMBK(X4,X5,X1),X3,X1,X5) = c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1038]) ).

cnf(c_0_1478,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X5,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1039]) ).

cnf(c_0_1479,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1040]) ).

cnf(c_0_1480,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1041]) ).

cnf(c_0_1481,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hAPP(c_Map_Orestrict__map(X4,X3,X1,X5),X2) = c_Option_Ooption_ONone(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1042]) ).

cnf(c_0_1482,plain,
    ( X2 = X3
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1043]) ).

cnf(c_0_1483,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X4,X1)),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1044]) ).

cnf(c_0_1484,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1045]) ).

cnf(c_0_1485,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1046]) ).

cnf(c_0_1486,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1047]) ).

cnf(c_0_1487,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1048]) ).

cnf(c_0_1488,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1049]) ).

cnf(c_0_1489,plain,
    ( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X2)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1050]) ).

cnf(c_0_1490,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1051]) ).

cnf(c_0_1491,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1052]) ).

cnf(c_0_1492,plain,
    ( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X1,X3)),X1))
    | c_Hoare__Mirabelle_Otriple__valid(X3,X4,t_a)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X4),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1053]) ).

cnf(c_0_1493,plain,
    ( c_Set_Ovimage(c_COMBK(X2,X1,X4),X3,X4,X1) = c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1054]) ).

cnf(c_0_1494,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1055]) ).

cnf(c_0_1495,plain,
    ( c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1056]) ).

cnf(c_0_1496,plain,
    ( c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1057]) ).

cnf(c_0_1497,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1058]) ).

cnf(c_0_1498,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1059]) ).

cnf(c_0_1499,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X2,X3,X1),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1060]) ).

cnf(c_0_1500,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1061]) ).

cnf(c_0_1501,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X3,X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)) = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_1062]) ).

cnf(c_0_1502,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Set_Oinsert(X2,X4,X1)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1063]) ).

cnf(c_0_1503,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) = c_Set_Oinsert(X2,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1064]) ).

cnf(c_0_1504,plain,
    ( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X2)),X2))
    | c_Hoare__Mirabelle_Otriple__valid(X1,X3,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1065]) ).

cnf(c_0_1505,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(c_COMBK(X3,X4,X2),X1,X2,X4) = c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1066]) ).

cnf(c_0_1506,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1067]) ).

cnf(c_0_1507,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1068]) ).

cnf(c_0_1508,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Set_Ovimage(c_COMBK(X2,X1,X4),X3,X4,X1) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1069]) ).

cnf(c_0_1509,plain,
    ( c_Finite__Set_Ofinite(X2,X1)
    | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1070]) ).

cnf(c_0_1510,plain,
    ( c_Finite__Set_Ofinite(X3,X1)
    | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1071]) ).

cnf(c_0_1511,plain,
    ( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1072]) ).

cnf(c_0_1512,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1073]) ).

cnf(c_0_1513,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1074]) ).

cnf(c_0_1514,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1075]) ).

cnf(c_0_1515,plain,
    ( c_lessequals(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1076]) ).

cnf(c_0_1516,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(X3,X4,t_a)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)
    | ~ c_Hoare__Mirabelle_Otriple__valid(X3,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X1,X3),t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X4),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1077]) ).

cnf(c_0_1517,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(X3,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1078]) ).

cnf(c_0_1518,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Set_Oimage(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1079]) ).

cnf(c_0_1519,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X2),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(X1,X2)),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(X1,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_1080]) ).

cnf(c_0_1520,plain,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1081]) ).

cnf(c_0_1521,plain,
    ( hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,X1)),X2),X3),v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(X2,v_x)),hAPP(X3,v_x))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1082]) ).

cnf(c_0_1522,plain,
    ( hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,X1)),X2),X3),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(X2,v_x)),hAPP(X3,v_x))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1083]) ).

cnf(c_0_1523,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool))) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1084]) ).

cnf(c_0_1524,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1085]) ).

cnf(c_0_1525,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1086]) ).

cnf(c_0_1526,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1087]) ).

cnf(c_0_1527,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
    | ~ class_Lattices_Olower__semilattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1088]) ).

cnf(c_0_1528,plain,
    ( X1 = X4
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1089]) ).

cnf(c_0_1529,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1090]) ).

cnf(c_0_1530,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1091]) ).

cnf(c_0_1531,plain,
    ( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1092]) ).

cnf(c_0_1532,plain,
    ( c_Finite__Set_Ofinite(X3,t_a)
    | ~ c_Wellfounded_Omax__extp(X1,X2,X3,t_a) ),
    inference(split_conjunct,[status(thm)],[c_0_1093]) ).

cnf(c_0_1533,plain,
    ( c_Finite__Set_Ofinite(X2,t_a)
    | ~ c_Wellfounded_Omax__extp(X1,X2,X3,t_a) ),
    inference(split_conjunct,[status(thm)],[c_0_1094]) ).

cnf(c_0_1534,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1095]) ).

cnf(c_0_1535,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1096]) ).

cnf(c_0_1536,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1097]) ).

cnf(c_0_1537,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1098]) ).

cnf(c_0_1538,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1099]) ).

cnf(c_0_1539,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1100]) ).

cnf(c_0_1540,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X3,t_a)
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X2),t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1101]) ).

cnf(c_0_1541,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,c_COMBK(X3,X4,X2),X2,X4) = X3
    | ~ class_Complete__Lattice_Ocomplete__lattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1102]) ).

cnf(c_0_1542,plain,
    ( X1 = X2
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | c_Set_Oinsert(X4,X1,X3) != c_Set_Oinsert(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1103]) ).

cnf(c_0_1543,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1104]) ).

cnf(c_0_1544,plain,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1105]) ).

cnf(c_0_1545,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1106]) ).

cnf(c_0_1546,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = X1
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1107]) ).

cnf(c_0_1547,plain,
    ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1108]) ).

cnf(c_0_1548,plain,
    ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1109]) ).

cnf(c_0_1549,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(X2,X3),X1,t_a)
    | c_Hoare__Mirabelle_Ohoare__valids(X2,X3,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1110]) ).

cnf(c_0_1550,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1111]) ).

cnf(c_0_1551,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1112]) ).

cnf(c_0_1552,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1113]) ).

cnf(c_0_1553,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X4),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1114]) ).

cnf(c_0_1554,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X4),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1115]) ).

cnf(c_0_1555,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X4),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1116]) ).

cnf(c_0_1556,plain,
    ( X1 = X2
    | c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1117]) ).

cnf(c_0_1557,plain,
    ( hAPP(hAPP(X1,hAPP(hAPP(X1,X3),X4)),X5) = hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X4),X5))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1118]) ).

cnf(c_0_1558,plain,
    ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X1),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1119]) ).

cnf(c_0_1559,plain,
    ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X1),X3),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1120]) ).

cnf(c_0_1560,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1121]) ).

cnf(c_0_1561,plain,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1122]) ).

cnf(c_0_1562,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1123]) ).

cnf(c_0_1563,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1124]) ).

cnf(c_0_1564,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1125]) ).

cnf(c_0_1565,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1126]) ).

cnf(c_0_1566,plain,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1127]) ).

cnf(c_0_1567,plain,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1128]) ).

cnf(c_0_1568,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1129]) ).

cnf(c_0_1569,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1130]) ).

cnf(c_0_1570,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1131]) ).

cnf(c_0_1571,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
    | ~ class_Lattices_Olower__semilattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1132]) ).

cnf(c_0_1572,plain,
    ( c_lessequals(X1,X3,X2)
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1133]) ).

cnf(c_0_1573,plain,
    ( c_lessequals(X1,X4,X2)
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1134]) ).

cnf(c_0_1574,plain,
    ( c_lessequals(X1,X3,X2)
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1135]) ).

cnf(c_0_1575,plain,
    ( c_lessequals(X1,X4,X2)
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1136]) ).

cnf(c_0_1576,plain,
    ( c_lessequals(X3,X4,X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1137]) ).

cnf(c_0_1577,plain,
    ( c_lessequals(X2,X4,X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1138]) ).

cnf(c_0_1578,plain,
    ( c_lessequals(X3,X4,X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1139]) ).

cnf(c_0_1579,plain,
    ( c_lessequals(X2,X4,X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1140]) ).

cnf(c_0_1580,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1141]) ).

cnf(c_0_1581,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X2) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1142]) ).

cnf(c_0_1582,plain,
    ( c_Finite__Set_Ofinite(X3,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1143]) ).

cnf(c_0_1583,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1144]) ).

cnf(c_0_1584,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1145]) ).

cnf(c_0_1585,plain,
    ( c_lessequals(X2,X1,tc_fun(X3,X4))
    | c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1146]) ).

cnf(c_0_1586,plain,
    ( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1147]) ).

cnf(c_0_1587,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_lessequals(c_Finite__Set_Olinorder__class_OMax(X1,X3),c_Finite__Set_Olinorder__class_OMax(X2,X3),X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1148]) ).

cnf(c_0_1588,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_lessequals(c_Finite__Set_Olinorder__class_OMin(X2,X3),c_Finite__Set_Olinorder__class_OMin(X1,X3),X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1149]) ).

cnf(c_0_1589,plain,
    ( c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__1(X1,X2,X3) = c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__2(X1,X2,X3)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1150]) ).

cnf(c_0_1590,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Collect(X3,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_1151]) ).

cnf(c_0_1591,plain,
    ( c_lessequals(c_Finite__Set_Olinorder__class_OMin(X1,X2),X3,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1152]) ).

cnf(c_0_1592,plain,
    ( c_lessequals(X3,c_Finite__Set_Olinorder__class_OMax(X1,X2),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1153]) ).

cnf(c_0_1593,plain,
    ( hAPP(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(t_a,X3)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(X1,v_x),hAPP(X2,v_x),X3)
    | ~ class_HOL_Ominus(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1154]) ).

cnf(c_0_1594,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X2),c_Finite__Set_Olinorder__class_OMin(X1,X2)),X1))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1155]) ).

cnf(c_0_1595,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X2),c_Finite__Set_Olinorder__class_OMax(X1,X2)),X1))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1156]) ).

cnf(c_0_1596,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1157]) ).

cnf(c_0_1597,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X1) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1158]) ).

cnf(c_0_1598,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X2) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1159]) ).

cnf(c_0_1599,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X1) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1160]) ).

cnf(c_0_1600,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
    | ~ c_lessequals(X2,X1,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1161]) ).

cnf(c_0_1601,plain,
    ( hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X4),X5)) = hAPP(hAPP(X1,X4),hAPP(hAPP(X1,X3),X5))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1162]) ).

cnf(c_0_1602,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X5))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | c_Set_Oinsert(X4,X5,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1163]) ).

cnf(c_0_1603,plain,
    ( c_lessequals(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1164]) ).

cnf(c_0_1604,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X4),X1),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1165]) ).

cnf(c_0_1605,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X4),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1166]) ).

cnf(c_0_1606,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X4),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1167]) ).

cnf(c_0_1607,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X4),X1),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1168]) ).

cnf(c_0_1608,plain,
    ( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X2),X4),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1169]) ).

cnf(c_0_1609,plain,
    ( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X4),X2),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1170]) ).

cnf(c_0_1610,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X4),X2),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1171]) ).

cnf(c_0_1611,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X2),X4),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1172]) ).

cnf(c_0_1612,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1173]) ).

cnf(c_0_1613,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1174]) ).

cnf(c_0_1614,plain,
    ( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1175]) ).

cnf(c_0_1615,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X2),c_ATP__Linkup_Osko__Set__Xex__in__conv__1__1(X1,X2)),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1176]) ).

cnf(c_0_1616,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xall__not__in__conv__1__1(X2,X1)),X2))
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1177]) ).

cnf(c_0_1617,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xequals0I__1__1(X2,X1)),X2))
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1178]) ).

cnf(c_0_1618,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Set_Oinsert(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1179]) ).

cnf(c_0_1619,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1180]) ).

cnf(c_0_1620,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1181]) ).

cnf(c_0_1621,plain,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1182]) ).

cnf(c_0_1622,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1183]) ).

cnf(c_0_1623,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1184]) ).

cnf(c_0_1624,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1185]) ).

cnf(c_0_1625,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1186]) ).

cnf(c_0_1626,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1187]) ).

cnf(c_0_1627,plain,
    ( c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1188]) ).

cnf(c_0_1628,plain,
    ( c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1189]) ).

cnf(c_0_1629,plain,
    ( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1
    | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1190]) ).

cnf(c_0_1630,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1191]) ).

cnf(c_0_1631,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1192]) ).

cnf(c_0_1632,plain,
    ( c_Set_Oinsert(X2,X3,X1) = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1193]) ).

cnf(c_0_1633,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1194]) ).

cnf(c_0_1634,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1195]) ).

cnf(c_0_1635,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1196]) ).

cnf(c_0_1636,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1197]) ).

cnf(c_0_1637,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1198]) ).

cnf(c_0_1638,plain,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1199]) ).

cnf(c_0_1639,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X2),c_Collect(X1,X3)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1200]) ).

cnf(c_0_1640,plain,
    ( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,X2,X3),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),c_Complete__Lattice_OSup__class_OSup(X2,X3))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1201]) ).

cnf(c_0_1641,plain,
    ( c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1202]) ).

cnf(c_0_1642,plain,
    ( c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1203]) ).

cnf(c_0_1643,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1204]) ).

cnf(c_0_1644,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1205]) ).

cnf(c_0_1645,plain,
    ( hBOOL(hAPP(X2,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1206]) ).

cnf(c_0_1646,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1207]) ).

cnf(c_0_1647,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1208]) ).

cnf(c_0_1648,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1209]) ).

cnf(c_0_1649,plain,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1210]) ).

cnf(c_0_1650,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1211]) ).

cnf(c_0_1651,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1212]) ).

cnf(c_0_1652,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1213]) ).

cnf(c_0_1653,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1214]) ).

cnf(c_0_1654,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1215]) ).

cnf(c_0_1655,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1216]) ).

cnf(c_0_1656,plain,
    ( ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1217]) ).

cnf(c_0_1657,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1218]) ).

cnf(c_0_1658,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1219]) ).

cnf(c_0_1659,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1220]) ).

cnf(c_0_1660,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1221]) ).

cnf(c_0_1661,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1222]) ).

cnf(c_0_1662,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1223]) ).

cnf(c_0_1663,plain,
    ( X2 = X3
    | ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1224]) ).

cnf(c_0_1664,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X1),X3),X2)
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1225]) ).

cnf(c_0_1665,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X1),X2)
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1226]) ).

cnf(c_0_1666,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X1),X2)
    | ~ class_Lattices_Olattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1227]) ).

cnf(c_0_1667,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X1),X3),X2)
    | ~ class_Lattices_Olattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1228]) ).

cnf(c_0_1668,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1229]) ).

cnf(c_0_1669,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1230]) ).

cnf(c_0_1670,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1231]) ).

cnf(c_0_1671,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1232]) ).

cnf(c_0_1672,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = X2
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1233]) ).

cnf(c_0_1673,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = X2
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1234]) ).

cnf(c_0_1674,plain,
    ( c_Finite__Set_Ofinite(X1,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1235]) ).

cnf(c_0_1675,plain,
    ( c_Finite__Set_Ofinite(X3,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1236]) ).

cnf(c_0_1676,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1237]) ).

cnf(c_0_1677,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1238]) ).

cnf(c_0_1678,plain,
    ( X2 = X1
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1239]) ).

cnf(c_0_1679,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1240]) ).

cnf(c_0_1680,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1241]) ).

cnf(c_0_1681,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1242]) ).

cnf(c_0_1682,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1243]) ).

cnf(c_0_1683,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1244]) ).

cnf(c_0_1684,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1245]) ).

cnf(c_0_1685,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1246]) ).

cnf(c_0_1686,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1247]) ).

cnf(c_0_1687,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1248]) ).

cnf(c_0_1688,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X2) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1249]) ).

cnf(c_0_1689,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X1) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1250]) ).

cnf(c_0_1690,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X2),X1) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1251]) ).

cnf(c_0_1691,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X2) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1252]) ).

cnf(c_0_1692,plain,
    ( c_lessequals(X1,X2,X3)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X2) != X1
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1253]) ).

cnf(c_0_1693,plain,
    ( c_lessequals(X1,X2,X3)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X2) != X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1254]) ).

cnf(c_0_1694,plain,
    ( c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1255]) ).

cnf(c_0_1695,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | X1 = c_Set_Oinsert(c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(X1,X2),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1256]) ).

cnf(c_0_1696,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1257]) ).

cnf(c_0_1697,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1258]) ).

cnf(c_0_1698,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1259]) ).

cnf(c_0_1699,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1260]) ).

cnf(c_0_1700,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X2 = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1261]) ).

cnf(c_0_1701,plain,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1262]) ).

cnf(c_0_1702,plain,
    ( c_lessequals(X1,X1,X2)
    | c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1263]) ).

cnf(c_0_1703,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1264]) ).

cnf(c_0_1704,plain,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1265]) ).

cnf(c_0_1705,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1266]) ).

cnf(c_0_1706,plain,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Collect(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1267]) ).

cnf(c_0_1707,plain,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_Collect(X1,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1268]) ).

cnf(c_0_1708,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1269]) ).

cnf(c_0_1709,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1270]) ).

cnf(c_0_1710,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1271]) ).

cnf(c_0_1711,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1272]) ).

cnf(c_0_1712,plain,
    ( hAPP(hAPP(X1,X3),X4) = hAPP(hAPP(X1,X4),X3)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1273]) ).

cnf(c_0_1713,plain,
    ( X1 = c_Orderings_Otop__class_Otop(X2)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X1) != c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1274]) ).

cnf(c_0_1714,plain,
    ( X1 = c_Orderings_Otop__class_Otop(X2)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X1),X3) != c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1275]) ).

cnf(c_0_1715,plain,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X1),X3) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1276]) ).

cnf(c_0_1716,plain,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X1) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1277]) ).

cnf(c_0_1717,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1278]) ).

cnf(c_0_1718,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1279]) ).

cnf(c_0_1719,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1280]) ).

cnf(c_0_1720,plain,
    ( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1281]) ).

cnf(c_0_1721,plain,
    ( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1282]) ).

cnf(c_0_1722,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Otop__class_Otop(X1)),X2) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1283]) ).

cnf(c_0_1723,plain,
    ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Orderings_Otop(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1284]) ).

cnf(c_0_1724,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Obot__class_Obot(X1)),X2) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1285]) ).

cnf(c_0_1725,plain,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Orderings_Obot(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1286]) ).

cnf(c_0_1726,plain,
    ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1287]) ).

cnf(c_0_1727,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1288]) ).

cnf(c_0_1728,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Obot__class_Obot(X1)),X2) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1289]) ).

cnf(c_0_1729,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Otop__class_Otop(X1)) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1290]) ).

cnf(c_0_1730,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1291]) ).

cnf(c_0_1731,plain,
    ( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
    | ~ class_Orderings_Otop(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1292]) ).

cnf(c_0_1732,plain,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1293]) ).

cnf(c_0_1733,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Otop__class_Otop(X1)) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1294]) ).

cnf(c_0_1734,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Obot__class_Obot(X1)) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1295]) ).

cnf(c_0_1735,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1296]) ).

cnf(c_0_1736,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1297]) ).

cnf(c_0_1737,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X2) = X2
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1298]) ).

cnf(c_0_1738,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X2) = X2
    | ~ class_Lattices_Olower__semilattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1299]) ).

cnf(c_0_1739,plain,
    ( class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
    | ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | ~ class_Finite__Set_Ofinite_Ofinite(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1300]) ).

cnf(c_0_1740,plain,
    ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X2,X1))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1301]) ).

cnf(c_0_1741,plain,
    ( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1302]) ).

cnf(c_0_1742,plain,
    ( class_Lattices_Olower__semilattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1303]) ).

cnf(c_0_1743,plain,
    ( class_Lattices_Odistrib__lattice(tc_fun(X2,X1))
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1304]) ).

cnf(c_0_1744,plain,
    ( class_Lattices_Obounded__lattice(tc_fun(X2,X1))
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1305]) ).

cnf(c_0_1745,plain,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1306]) ).

cnf(c_0_1746,plain,
    ( class_Lattices_Olattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1307]) ).

cnf(c_0_1747,plain,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1308]) ).

cnf(c_0_1748,plain,
    ( class_Orderings_Otop(tc_fun(X2,X1))
    | ~ class_Orderings_Otop(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1309]) ).

cnf(c_0_1749,plain,
    ( class_Orderings_Obot(tc_fun(X2,X1))
    | ~ class_Orderings_Obot(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1310]) ).

cnf(c_0_1750,plain,
    ( class_HOL_Ominus(tc_fun(X2,X1))
    | ~ class_HOL_Ominus(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1311]) ).

cnf(c_0_1751,plain,
    ( class_HOL_Oord(tc_fun(X2,X1))
    | ~ class_HOL_Oord(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1312]) ).

cnf(c_0_1752,plain,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Finite__Set_Ofinite_Ofinite(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1313]) ).

cnf(c_0_1753,plain,
    ( class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(X1))
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1314]) ).

cnf(c_0_1754,plain,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1315]) ).

cnf(c_0_1755,plain,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1316]) ).

cnf(c_0_1756,plain,
    ( c_Complete__Lattice_Ocomplete__lattice(X2,X1,c_COMBC(X3,X9,X9,tc_bool),c_COMBC(X4,X9,X9,tc_bool),X6,X5,X8,X7,X9)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    c_0_1317,
    [final] ).

cnf(c_0_1757,plain,
    ( hAPP(hAPP(X6,X11),hAPP(X2,X10)) = c_Finite__Set_Ofold(X6,X11,X10,X9,X9)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ c_Finite__Set_Ofinite(X10,X9) ),
    c_0_1318,
    [final] ).

cnf(c_0_1758,plain,
    ( hAPP(hAPP(X5,X11),hAPP(X1,X10)) = c_Finite__Set_Ofold(X5,X11,X10,X9,X9)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ c_Finite__Set_Ofinite(X10,X9) ),
    c_0_1319,
    [final] ).

cnf(c_0_1759,plain,
    ( hAPP(X2,X10) = c_Finite__Set_Ofold(X6,X7,X10,X9,X9)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ c_Finite__Set_Ofinite(X10,X9) ),
    c_0_1320,
    [final] ).

cnf(c_0_1760,plain,
    ( hAPP(X1,X10) = c_Finite__Set_Ofold(X5,X8,X10,X9,X9)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ c_Finite__Set_Ofinite(X10,X9) ),
    c_0_1321,
    [final] ).

cnf(c_0_1761,plain,
    ( hAPP(X2,c_Set_Oinsert(X10,c_Set_Oinsert(X11,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9),X9)) = hAPP(hAPP(X6,X10),X11)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    c_0_1322,
    [final] ).

cnf(c_0_1762,plain,
    ( hAPP(X1,c_Set_Oinsert(X10,c_Set_Oinsert(X11,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9),X9)) = hAPP(hAPP(X5,X10),X11)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    c_0_1323,
    [final] ).

cnf(c_0_1763,plain,
    ( hBOOL(hAPP(hAPP(X3,hAPP(X1,X11)),X10))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ hBOOL(hAPP(hAPP(c_in(X9),X10),X11)) ),
    c_0_1324,
    [final] ).

cnf(c_0_1764,plain,
    ( hBOOL(hAPP(hAPP(X3,X10),hAPP(X2,X11)))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ hBOOL(hAPP(hAPP(c_in(X9),X10),X11)) ),
    c_0_1325,
    [final] ).

cnf(c_0_1765,plain,
    ( hAPP(X2,c_Set_Oinsert(X10,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9)) = X10
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    c_0_1326,
    [final] ).

cnf(c_0_1766,plain,
    ( hAPP(X1,c_Set_Oinsert(X10,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9)) = X10
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    c_0_1327,
    [final] ).

cnf(c_0_1767,plain,
    ( hAPP(X2,c_Set_Oinsert(X10,X11,X9)) = hAPP(hAPP(X6,X10),hAPP(X2,X11))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    c_0_1328,
    [final] ).

cnf(c_0_1768,plain,
    ( hAPP(X1,c_Set_Oinsert(X10,X11,X9)) = hAPP(hAPP(X5,X10),hAPP(X1,X11))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    c_0_1329,
    [final] ).

cnf(c_0_1769,plain,
    ( hAPP(X2,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool))) = X8
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    c_0_1330,
    [final] ).

cnf(c_0_1770,plain,
    ( hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool))) = X7
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    c_0_1331,
    [final] ).

cnf(c_0_1771,plain,
    ( hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))) = X8
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    c_0_1332,
    [final] ).

cnf(c_0_1772,plain,
    ( hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))) = X7
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    c_0_1333,
    [final] ).

cnf(c_0_1773,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),X5),X3))
    | c_Finite__Set_Ofold__image(X1,X6,X7,c_Set_Oinsert(X5,X3,X4),X2,X4) = hAPP(hAPP(X1,hAPP(X6,X5)),c_Finite__Set_Ofold__image(X1,X6,X7,X3,X2,X4))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X4) ),
    c_0_1334,
    [final] ).

cnf(c_0_1774,plain,
    ( hBOOL(hAPP(hAPP(c_in(X2),X3),X4))
    | c_Finite__Set_Ofold__graph(X1,X6,c_Set_Oinsert(X3,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),X5,X2,X2)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X2,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X6),X4)) ),
    c_0_1335,
    [final] ).

cnf(c_0_1775,plain,
    ( c_Finite__Set_Ofold__graph(X1,X2,X3,hAPP(hAPP(X1,X4),X6),X5,X7)
    | ~ c_Finite__Set_Ofold__graph(X1,X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X6,X5,X7)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X4),X3)) ),
    c_0_1336,
    [final] ).

cnf(c_0_1776,plain,
    ( c_Nitpick_Ofold__graph_H(X4,X5,X3,hAPP(hAPP(X4,X2),X6),X1,X7)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_Nitpick_Ofold__graph_H(X4,X5,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X6,X1,X7) ),
    c_0_1337,
    [final] ).

cnf(c_0_1777,plain,
    ( hBOOL(hAPP(hAPP(c_in(X2),X3),X4))
    | c_Finite__Set_Ofold__graph(X1,X6,c_Set_Oinsert(X3,X4,X2),hAPP(hAPP(X1,X6),X5),X2,X2)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X2,X2) ),
    c_0_1338,
    [final] ).

cnf(c_0_1778,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Finite__Set_Ofold__graph(X4,X5,c_Set_Oinsert(X2,X3,X1),hAPP(hAPP(X4,X2),X6),X1,X7)
    | ~ c_Finite__Set_Ofold__graph(X4,X5,X3,X6,X1,X7) ),
    c_0_1339,
    [final] ).

cnf(c_0_1779,plain,
    ( c_Finite__Set_Ofold__image(X1,X7,X8,c_Set_Oimage(X5,X3,X4,X6),X2,X6) = c_Finite__Set_Ofold__image(X1,c_Fun_Ocomp(X7,X5,X6,X2,X4),X8,X3,X2,X4)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X4)
    | ~ c_Fun_Oinj__on(X5,X3,X4,X6) ),
    c_0_1340,
    [final] ).

cnf(c_0_1780,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),X2),X3))
    | c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,X3,X5),X4,X5)
    | ~ c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X5,X5) ),
    c_0_1341,
    [final] ).

cnf(c_0_1781,plain,
    ( X4 = X2
    | ~ c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,X5) ),
    c_0_1342,
    [final] ).

cnf(c_0_1782,plain,
    ( c_Finite__Set_Ofinite(X3,X5)
    | ~ c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X5,X6) ),
    c_0_1343,
    [final] ).

cnf(c_0_1783,plain,
    ( ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X1,X2)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5))) ),
    c_0_1344,
    [final] ).

cnf(c_0_1784,plain,
    ( c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5)
    | ~ c_Fun_Oinj__on(X1,X3,X2,X5)
    | ~ c_Fun_Oinj__on(X1,X4,X2,X5)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X2,tc_bool)),X2,X5)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X2,tc_bool)),X2,X5)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
    c_0_1345,
    [final] ).

cnf(c_0_1785,plain,
    ( hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(c_Fun_Ocomp(X7,X8,X9,X4,X10),X11)
    | hAPP(X1,hAPP(X2,X6)) != hAPP(X7,hAPP(X8,X11)) ),
    c_0_1346,
    [final] ).

cnf(c_0_1786,plain,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4)
    | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4) ),
    c_0_1347,
    [final] ).

cnf(c_0_1787,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X1,X5)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X4)))
    | c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    c_0_1348,
    [final] ).

cnf(c_0_1788,plain,
    ( c_Fun_Oinj__on(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X5,c_Set_Oimage(X1,X2,X3,X4),X4,X6) ),
    c_0_1349,
    [final] ).

cnf(c_0_1789,plain,
    ( hAPP(X1,hAPP(X2,X3)) = hAPP(X4,hAPP(X5,X3))
    | c_Fun_Ocomp(X1,X2,X6,X7,X8) != c_Fun_Ocomp(X4,X5,X9,X7,X8) ),
    c_0_1350,
    [final] ).

cnf(c_0_1790,plain,
    ( hAPP(X1,hAPP(X2,X3)) = hAPP(X4,X3)
    | c_Fun_Ocomp(X1,X2,X5,X6,X7) != c_Fun_Ocomp(c_Fun_Oid(X6),X4,X6,X6,X7) ),
    c_0_1351,
    [final] ).

cnf(c_0_1791,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X4),c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X2),X3,X1,X2,X2)) = c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X2),X3,c_Set_Oinsert(X4,X1,X2),X2,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Lattices_Olower__semilattice(X2) ),
    c_0_1352,
    [final] ).

cnf(c_0_1792,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X4),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),X3,X1,X2,X2)) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),X3,c_Set_Oinsert(X4,X1,X2),X2,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    c_0_1353,
    [final] ).

cnf(c_0_1793,plain,
    ( c_lessequals(X2,X3,tc_fun(X1,tc_bool))
    | ~ c_lessequals(hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2),hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X3),tc_fun(X1,tc_bool)) ),
    c_0_1354,
    [final] ).

cnf(c_0_1794,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X2,tc_bool)),X2,X5)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X2,tc_bool)),X2,X5)) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5) ),
    c_0_1355,
    [final] ).

cnf(c_0_1795,plain,
    ( hAPP(X3,X2) = X4
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X1,X5))) ),
    c_0_1356,
    [final] ).

cnf(c_0_1796,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_Set_Oimage(X1,X5,X3,X4)),c_Set_Oimage(X1,X6,X3,X4)) = c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X5),X6),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    c_0_1357,
    [final] ).

cnf(c_0_1797,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),X4,X1,X2,X2),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    c_0_1358,
    [final] ).

cnf(c_0_1798,plain,
    ( c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X2),X4,X1,X2,X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ class_Lattices_Olower__semilattice(X2) ),
    c_0_1359,
    [final] ).

cnf(c_0_1799,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Set_Oimage(X1,X4,X2,X3)),c_Set_Oimage(X1,X5,X2,X3)) = c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X4),X5),X2,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    c_0_1360,
    [final] ).

cnf(c_0_1800,plain,
    ( hAPP(c_Fun_Ooverride__on(X4,X5,X3,X1,X6),X2) = hAPP(X5,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1361,
    [final] ).

cnf(c_0_1801,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hAPP(c_Fun_Ooverride__on(X4,X5,X3,X1,X6),X2) = hAPP(X4,X2) ),
    c_0_1362,
    [final] ).

cnf(c_0_1802,plain,
    ( hBOOL(hAPP(hAPP(c_in(X2),X4),X5))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,X5,X2,X3))) ),
    c_0_1363,
    [final] ).

cnf(c_0_1803,plain,
    ( c_lessequals(hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X1),hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X2),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1364,
    [final] ).

cnf(c_0_1804,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1(X2,X3,X1,X4)),X2))
    | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X1,tc_fun(X4,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    c_0_1365,
    [final] ).

cnf(c_0_1805,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1(X2,X3,X1,X4)),X2))
    | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X1,tc_fun(X4,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    c_0_1366,
    [final] ).

cnf(c_0_1806,plain,
    ( c_lessequals(X4,X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    c_0_1367,
    [final] ).

cnf(c_0_1807,plain,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    c_0_1368,
    [final] ).

cnf(c_0_1808,plain,
    ( c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    c_0_1369,
    [final] ).

cnf(c_0_1809,plain,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    c_0_1370,
    [final] ).

cnf(c_0_1810,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5))) ),
    c_0_1371,
    [final] ).

cnf(c_0_1811,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5))) ),
    c_0_1372,
    [final] ).

cnf(c_0_1812,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4)),X1) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1)) ),
    c_0_1373,
    [final] ).

cnf(c_0_1813,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,X5,X2,X3)))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X4),X5)) ),
    c_0_1374,
    [final] ).

cnf(c_0_1814,plain,
    ( X1 = X2
    | hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X1) != hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X2) ),
    c_0_1375,
    [final] ).

cnf(c_0_1815,plain,
    ( hBOOL(hAPP(X2,hAPP(X1,X5)))
    | ~ hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5)) ),
    c_0_1376,
    [final] ).

cnf(c_0_1816,plain,
    ( c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
    c_0_1377,
    [final] ).

cnf(c_0_1817,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X1),X2),X4,X5)
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    c_0_1378,
    [final] ).

cnf(c_0_1818,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),X5),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X6,X1,tc_fun(X4,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X5),hAPP(X6,X2))) ),
    c_0_1379,
    [final] ).

cnf(c_0_1819,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),X5),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X6,X1,tc_fun(X4,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X5),hAPP(X6,X2))) ),
    c_0_1380,
    [final] ).

cnf(c_0_1820,plain,
    ( c_Set_Oimage(X3,X1,X2,X2) = X1
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(c_Set_Oimage(X3,X1,X2,X2),X1,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X3,X1,X2,X2) ),
    c_0_1381,
    [final] ).

cnf(c_0_1821,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    c_0_1382,
    [final] ).

cnf(c_0_1822,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X2,X3,X1),tc_fun(X1,tc_bool))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    c_0_1383,
    [final] ).

cnf(c_0_1823,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1384,
    [final] ).

cnf(c_0_1824,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X2,X3,X1),tc_fun(X1,tc_bool))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    c_0_1385,
    [final] ).

cnf(c_0_1825,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4)) ),
    c_0_1386,
    [final] ).

cnf(c_0_1826,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4)) ),
    c_0_1387,
    [final] ).

cnf(c_0_1827,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4)) ),
    c_0_1388,
    [final] ).

cnf(c_0_1828,plain,
    ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X6,tc_bool)),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(X4,X2),X5)) ),
    c_0_1389,
    [final] ).

cnf(c_0_1829,plain,
    ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X6,tc_bool)),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(X4,X2),X5)) ),
    c_0_1390,
    [final] ).

cnf(c_0_1830,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    c_0_1391,
    [final] ).

cnf(c_0_1831,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    c_0_1392,
    [final] ).

cnf(c_0_1832,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    c_0_1393,
    [final] ).

cnf(c_0_1833,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    c_0_1394,
    [final] ).

cnf(c_0_1834,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1395,
    [final] ).

cnf(c_0_1835,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1396,
    [final] ).

cnf(c_0_1836,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Collect(X4,X1)))) ),
    c_0_1397,
    [final] ).

cnf(c_0_1837,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    c_0_1398,
    [final] ).

cnf(c_0_1838,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),c_Complete__Lattice_OSup__class_OSup(X1,X2)) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),X3,X1,X2,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
    c_0_1399,
    [final] ).

cnf(c_0_1839,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))) ),
    c_0_1400,
    [final] ).

cnf(c_0_1840,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X1,X6)),X5))
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2)) ),
    c_0_1401,
    [final] ).

cnf(c_0_1841,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4)),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1402,
    [final] ).

cnf(c_0_1842,plain,
    ( c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),c_Orderings_Obot__class_Obot(X2),X1,X2,X2) = c_Complete__Lattice_OSup__class_OSup(X1,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
    c_0_1403,
    [final] ).

cnf(c_0_1843,plain,
    ( hBOOL(hAPP(X4,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Collect(X4,X1)))) ),
    c_0_1404,
    [final] ).

cnf(c_0_1844,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    c_0_1405,
    [final] ).

cnf(c_0_1845,plain,
    ( c_lessequals(hAPP(X2,X6),X5,tc_fun(X4,tc_bool))
    | ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X1)) ),
    c_0_1406,
    [final] ).

cnf(c_0_1846,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
    | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
    c_0_1407,
    [final] ).

cnf(c_0_1847,plain,
    ( c_Set_Ovimage(X1,c_Set_Oimage(X1,X4,X2,X3),X2,X3) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    c_0_1408,
    [final] ).

cnf(c_0_1848,plain,
    ( c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    c_0_1409,
    [final] ).

cnf(c_0_1849,plain,
    ( c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1410,
    [final] ).

cnf(c_0_1850,plain,
    ( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1411,
    [final] ).

cnf(c_0_1851,plain,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
    c_0_1412,
    [final] ).

cnf(c_0_1852,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),hAPP(X5,X2)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X5,X1,tc_fun(X4,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X5,X1,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1413,
    [final] ).

cnf(c_0_1853,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))) ),
    c_0_1414,
    [final] ).

cnf(c_0_1854,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))) ),
    c_0_1415,
    [final] ).

cnf(c_0_1855,plain,
    ( c_Fun_Oinj__on(X3,X1,X2,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X1,c_Set_Oimage(X3,X1,X2,X2),tc_fun(X2,tc_bool)) ),
    c_0_1416,
    [final] ).

cnf(c_0_1856,plain,
    ( hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3))
    | ~ hBOOL(hAPP(X1,hAPP(X2,X3))) ),
    c_0_1417,
    [final] ).

cnf(c_0_1857,plain,
    ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
    | hAPP(X2,c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1(X1,X2,X3,X4)) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    c_0_1418,
    [final] ).

cnf(c_0_1858,plain,
    ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | hAPP(X3,c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1(X2,X3,X4,X1)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    c_0_1419,
    [final] ).

cnf(c_0_1859,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
    c_0_1420,
    [final] ).

cnf(c_0_1860,plain,
    ( c_Finite__Set_Ofinite(hAPP(X3,X5),X4)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X3,X2,tc_fun(X4,tc_bool)),X4)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X5),X1)) ),
    c_0_1421,
    [final] ).

cnf(c_0_1861,plain,
    ( c_Fun_Oinj__on(X1,X4,X2,X5)
    | ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5) ),
    c_0_1422,
    [final] ).

cnf(c_0_1862,plain,
    ( c_Fun_Oinj__on(X1,X3,X2,X5)
    | ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5) ),
    c_0_1423,
    [final] ).

cnf(c_0_1863,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)),X1)
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1424,
    [final] ).

cnf(c_0_1864,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),X1)
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1425,
    [final] ).

cnf(c_0_1865,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    c_0_1426,
    [final] ).

cnf(c_0_1866,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    c_0_1427,
    [final] ).

cnf(c_0_1867,plain,
    ( hBOOL(hAPP(X2,X4))
    | hBOOL(hAPP(X3,X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4)) ),
    c_0_1428,
    [final] ).

cnf(c_0_1868,plain,
    ( c_Finite__Set_Ofinite(c_Set_Ovimage(X3,X1,X4,X2),X4)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X2) ),
    c_0_1429,
    [final] ).

cnf(c_0_1869,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Collect(X4,X1))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(X4,X2)) ),
    c_0_1430,
    [final] ).

cnf(c_0_1870,plain,
    ( c_Set_Oinsert(hAPP(X4,X2),c_Set_Oimage(X4,X3,X1,X5),X5) = c_Set_Oimage(X4,X3,X1,X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1431,
    [final] ).

cnf(c_0_1871,plain,
    ( hBOOL(hAPP(X3,X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4)) ),
    c_0_1432,
    [final] ).

cnf(c_0_1872,plain,
    ( hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4)) ),
    c_0_1433,
    [final] ).

cnf(c_0_1873,plain,
    ( c_Finite__Set_Ofinite(X3,X5)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X3,c_Set_Oimage(X4,X1,X2,X5),tc_fun(X5,tc_bool)) ),
    c_0_1434,
    [final] ).

cnf(c_0_1874,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    c_0_1435,
    [final] ).

cnf(c_0_1875,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X4),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X5),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    c_0_1436,
    [final] ).

cnf(c_0_1876,plain,
    ( c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X3),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X4,X1)),X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1437,
    [final] ).

cnf(c_0_1877,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1438,
    [final] ).

cnf(c_0_1878,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X3)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1439,
    [final] ).

cnf(c_0_1879,plain,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    c_0_1440,
    [final] ).

cnf(c_0_1880,plain,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    c_0_1441,
    [final] ).

cnf(c_0_1881,plain,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    c_0_1442,
    [final] ).

cnf(c_0_1882,plain,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    c_0_1443,
    [final] ).

cnf(c_0_1883,plain,
    ( X2 = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))) ),
    c_0_1444,
    [final] ).

cnf(c_0_1884,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    c_0_1445,
    [final] ).

cnf(c_0_1885,plain,
    ( c_lessequals(hAPP(X4,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1446,
    [final] ).

cnf(c_0_1886,plain,
    ( c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
    c_0_1447,
    [final] ).

cnf(c_0_1887,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X4,tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) ),
    c_0_1448,
    [final] ).

cnf(c_0_1888,plain,
    ( c_Set_Oinsert(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X1) = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1449,
    [final] ).

cnf(c_0_1889,plain,
    ( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    c_0_1450,
    [final] ).

cnf(c_0_1890,plain,
    ( X5 = X6
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2))
    | hAPP(X1,X5) != hAPP(X1,X6) ),
    c_0_1451,
    [final] ).

cnf(c_0_1891,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    c_0_1452,
    [final] ).

cnf(c_0_1892,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    c_0_1453,
    [final] ).

cnf(c_0_1893,plain,
    ( X2 = X4
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3))
    | ~ c_Fun_Oinj__on(X5,X3,X1,X6)
    | hAPP(X5,X2) != hAPP(X5,X4) ),
    c_0_1454,
    [final] ).

cnf(c_0_1894,plain,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4) ),
    c_0_1455,
    [final] ).

cnf(c_0_1895,plain,
    ( c_Fun_Oinj__on(X1,X5,X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
    c_0_1456,
    [final] ).

cnf(c_0_1896,plain,
    ( c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Set_Oinsert(X2,X4,X1))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1457,
    [final] ).

cnf(c_0_1897,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool)))) ),
    c_0_1458,
    [final] ).

cnf(c_0_1898,plain,
    ( c_lessequals(hAPP(X4,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,X5),X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X5) ),
    c_0_1459,
    [final] ).

cnf(c_0_1899,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    c_0_1460,
    [final] ).

cnf(c_0_1900,plain,
    ( X2 = X4
    | ~ c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X4,X3) ),
    c_0_1461,
    [final] ).

cnf(c_0_1901,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__2(X2,X3,X1)),X3))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    c_0_1462,
    [final] ).

cnf(c_0_1902,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__1(X2,X3,X1)),X2))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    c_0_1463,
    [final] ).

cnf(c_0_1903,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X1),X3),X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X3,X2)) ),
    c_0_1464,
    [final] ).

cnf(c_0_1904,plain,
    ( hAPP(c_Map_Orestrict__map(X4,X3,X1,X5),X2) = hAPP(X4,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1465,
    [final] ).

cnf(c_0_1905,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1466,
    [final] ).

cnf(c_0_1906,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1467,
    [final] ).

cnf(c_0_1907,plain,
    ( hAPP(X4,X2) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
    c_0_1468,
    [final] ).

cnf(c_0_1908,plain,
    ( hAPP(X4,X2) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
    c_0_1469,
    [final] ).

cnf(c_0_1909,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1470,
    [final] ).

cnf(c_0_1910,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1471,
    [final] ).

cnf(c_0_1911,plain,
    ( c_lessequals(X1,X4,tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) ),
    c_0_1472,
    [final] ).

cnf(c_0_1912,plain,
    ( c_lessequals(X1,X3,tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) ),
    c_0_1473,
    [final] ).

cnf(c_0_1913,plain,
    ( c_lessequals(X2,X4,tc_fun(X1,tc_bool))
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) ),
    c_0_1474,
    [final] ).

cnf(c_0_1914,plain,
    ( c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) ),
    c_0_1475,
    [final] ).

cnf(c_0_1915,plain,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3) ),
    c_0_1476,
    [final] ).

cnf(c_0_1916,plain,
    ( c_Set_Oimage(c_COMBK(X4,X5,X1),X3,X1,X5) = c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1477,
    [final] ).

cnf(c_0_1917,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X5,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    c_0_1478,
    [final] ).

cnf(c_0_1918,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4)
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    c_0_1479,
    [final] ).

cnf(c_0_1919,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4)
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    c_0_1480,
    [final] ).

cnf(c_0_1920,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hAPP(c_Map_Orestrict__map(X4,X3,X1,X5),X2) = c_Option_Ooption_ONone(X5) ),
    c_0_1481,
    [final] ).

cnf(c_0_1921,plain,
    ( X2 = X3
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1))) ),
    c_0_1482,
    [final] ).

cnf(c_0_1922,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X4,X1)),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X3) ),
    c_0_1483,
    [final] ).

cnf(c_0_1923,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    c_0_1484,
    [final] ).

cnf(c_0_1924,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    c_0_1485,
    [final] ).

cnf(c_0_1925,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    c_0_1486,
    [final] ).

cnf(c_0_1926,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    c_0_1487,
    [final] ).

cnf(c_0_1927,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3)) ),
    c_0_1488,
    [final] ).

cnf(c_0_1928,plain,
    ( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X2)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
    c_0_1489,
    [final] ).

cnf(c_0_1929,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    c_0_1490,
    [final] ).

cnf(c_0_1930,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
    c_0_1491,
    [final] ).

cnf(c_0_1931,plain,
    ( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X1,X3)),X1))
    | c_Hoare__Mirabelle_Otriple__valid(X3,X4,t_a)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X4),X2)) ),
    c_0_1492,
    [final] ).

cnf(c_0_1932,plain,
    ( c_Set_Ovimage(c_COMBK(X2,X1,X4),X3,X4,X1) = c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1493,
    [final] ).

cnf(c_0_1933,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1494,
    [final] ).

cnf(c_0_1934,plain,
    ( c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3)) ),
    c_0_1495,
    [final] ).

cnf(c_0_1935,plain,
    ( c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    c_0_1496,
    [final] ).

cnf(c_0_1936,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    c_0_1497,
    [final] ).

cnf(c_0_1937,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    c_0_1498,
    [final] ).

cnf(c_0_1938,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X2,X3,X1),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    c_0_1499,
    [final] ).

cnf(c_0_1939,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    c_0_1500,
    [final] ).

cnf(c_0_1940,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X3,X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)) = X3 ),
    c_0_1501,
    [final] ).

cnf(c_0_1941,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Set_Oinsert(X2,X4,X1)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4) ),
    c_0_1502,
    [final] ).

cnf(c_0_1942,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) = c_Set_Oinsert(X2,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)),X1) ),
    c_0_1503,
    [final] ).

cnf(c_0_1943,plain,
    ( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X2)),X2))
    | c_Hoare__Mirabelle_Otriple__valid(X1,X3,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X3),X2)) ),
    c_0_1504,
    [final] ).

cnf(c_0_1944,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(c_COMBK(X3,X4,X2),X1,X2,X4) = c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4) ),
    c_0_1505,
    [final] ).

cnf(c_0_1945,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1506,
    [final] ).

cnf(c_0_1946,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1507,
    [final] ).

cnf(c_0_1947,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Set_Ovimage(c_COMBK(X2,X1,X4),X3,X4,X1) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    c_0_1508,
    [final] ).

cnf(c_0_1948,plain,
    ( c_Finite__Set_Ofinite(X2,X1)
    | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1) ),
    c_0_1509,
    [final] ).

cnf(c_0_1949,plain,
    ( c_Finite__Set_Ofinite(X3,X1)
    | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1) ),
    c_0_1510,
    [final] ).

cnf(c_0_1950,plain,
    ( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    c_0_1511,
    [final] ).

cnf(c_0_1951,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
    c_0_1512,
    [final] ).

cnf(c_0_1952,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool)) ),
    c_0_1513,
    [final] ).

cnf(c_0_1953,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2)) ),
    c_0_1514,
    [final] ).

cnf(c_0_1954,plain,
    ( c_lessequals(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    c_0_1515,
    [final] ).

cnf(c_0_1955,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(X3,X4,t_a)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)
    | ~ c_Hoare__Mirabelle_Otriple__valid(X3,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X1,X3),t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X4),X2)) ),
    c_0_1516,
    [final] ).

cnf(c_0_1956,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(X3,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    c_0_1517,
    [final] ).

cnf(c_0_1957,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(X4,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_1518,
    [final] ).

cnf(c_0_1958,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X2),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(X1,X2)),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(X1,X2))) ),
    c_0_1519,
    [final] ).

cnf(c_0_1959,plain,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1520,
    [final] ).

cnf(c_0_1960,plain,
    ( hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,X1)),X2),X3),v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(X2,v_x)),hAPP(X3,v_x))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1521,
    [final] ).

cnf(c_0_1961,plain,
    ( hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,X1)),X2),X3),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(X2,v_x)),hAPP(X3,v_x))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1522,
    [final] ).

cnf(c_0_1962,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool))) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1523,
    [final] ).

cnf(c_0_1963,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    c_0_1524,
    [final] ).

cnf(c_0_1964,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1525,
    [final] ).

cnf(c_0_1965,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1526,
    [final] ).

cnf(c_0_1966,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
    | ~ class_Lattices_Olower__semilattice(X1) ),
    c_0_1527,
    [final] ).

cnf(c_0_1967,plain,
    ( X1 = X4
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    c_0_1528,
    [final] ).

cnf(c_0_1968,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    c_0_1529,
    [final] ).

cnf(c_0_1969,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    c_0_1530,
    [final] ).

cnf(c_0_1970,plain,
    ( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1531,
    [final] ).

cnf(c_0_1971,plain,
    ( c_Finite__Set_Ofinite(X3,t_a)
    | ~ c_Wellfounded_Omax__extp(X1,X2,X3,t_a) ),
    c_0_1532,
    [final] ).

cnf(c_0_1972,plain,
    ( c_Finite__Set_Ofinite(X2,t_a)
    | ~ c_Wellfounded_Omax__extp(X1,X2,X3,t_a) ),
    c_0_1533,
    [final] ).

cnf(c_0_1973,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    c_0_1534,
    [final] ).

cnf(c_0_1974,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    c_0_1535,
    [final] ).

cnf(c_0_1975,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    c_0_1536,
    [final] ).

cnf(c_0_1976,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    c_0_1537,
    [final] ).

cnf(c_0_1977,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    c_0_1538,
    [final] ).

cnf(c_0_1978,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    c_0_1539,
    [final] ).

cnf(c_0_1979,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X3,t_a)
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X2),t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X3),X2)) ),
    c_0_1540,
    [final] ).

cnf(c_0_1980,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,c_COMBK(X3,X4,X2),X2,X4) = X3
    | ~ class_Complete__Lattice_Ocomplete__lattice(X4) ),
    c_0_1541,
    [final] ).

cnf(c_0_1981,plain,
    ( X1 = X2
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | c_Set_Oinsert(X4,X1,X3) != c_Set_Oinsert(X4,X2,X3) ),
    c_0_1542,
    [final] ).

cnf(c_0_1982,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(X3,X2)) ),
    c_0_1543,
    [final] ).

cnf(c_0_1983,plain,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    c_0_1544,
    [final] ).

cnf(c_0_1984,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))) ),
    c_0_1545,
    [final] ).

cnf(c_0_1985,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = X1
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_1546,
    [final] ).

cnf(c_0_1986,plain,
    ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    c_0_1547,
    [final] ).

cnf(c_0_1987,plain,
    ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    c_0_1548,
    [final] ).

cnf(c_0_1988,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(X2,X3),X1,t_a)
    | c_Hoare__Mirabelle_Ohoare__valids(X2,X3,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),X2)) ),
    c_0_1549,
    [final] ).

cnf(c_0_1989,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1550,
    [final] ).

cnf(c_0_1990,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1551,
    [final] ).

cnf(c_0_1991,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1552,
    [final] ).

cnf(c_0_1992,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X4),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_1553,
    [final] ).

cnf(c_0_1993,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X4),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_1554,
    [final] ).

cnf(c_0_1994,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X4),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_1555,
    [final] ).

cnf(c_0_1995,plain,
    ( X1 = X2
    | c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    c_0_1556,
    [final] ).

cnf(c_0_1996,plain,
    ( hAPP(hAPP(X1,hAPP(hAPP(X1,X3),X4)),X5) = hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X4),X5))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2) ),
    c_0_1557,
    [final] ).

cnf(c_0_1997,plain,
    ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X1),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    c_0_1558,
    [final] ).

cnf(c_0_1998,plain,
    ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X1),X3),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    c_0_1559,
    [final] ).

cnf(c_0_1999,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool)) ),
    c_0_1560,
    [final] ).

cnf(c_0_2000,plain,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    c_0_1561,
    [final] ).

cnf(c_0_2001,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    c_0_1562,
    [final] ).

cnf(c_0_2002,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool)) ),
    c_0_1563,
    [final] ).

cnf(c_0_2003,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_1564,
    [final] ).

cnf(c_0_2004,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_1565,
    [final] ).

cnf(c_0_2005,plain,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_1566,
    [final] ).

cnf(c_0_2006,plain,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_1567,
    [final] ).

cnf(c_0_2007,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    c_0_1568,
    [final] ).

cnf(c_0_2008,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1569,
    [final] ).

cnf(c_0_2009,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1570,
    [final] ).

cnf(c_0_2010,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
    | ~ class_Lattices_Olower__semilattice(X1) ),
    c_0_1571,
    [final] ).

cnf(c_0_2011,plain,
    ( c_lessequals(X1,X3,X2)
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | ~ class_Lattices_Olower__semilattice(X2) ),
    c_0_1572,
    [final] ).

cnf(c_0_2012,plain,
    ( c_lessequals(X1,X4,X2)
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | ~ class_Lattices_Olower__semilattice(X2) ),
    c_0_1573,
    [final] ).

cnf(c_0_2013,plain,
    ( c_lessequals(X1,X3,X2)
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | ~ class_Lattices_Olower__semilattice(X2) ),
    c_0_1574,
    [final] ).

cnf(c_0_2014,plain,
    ( c_lessequals(X1,X4,X2)
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | ~ class_Lattices_Olower__semilattice(X2) ),
    c_0_1575,
    [final] ).

cnf(c_0_2015,plain,
    ( c_lessequals(X3,X4,X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    c_0_1576,
    [final] ).

cnf(c_0_2016,plain,
    ( c_lessequals(X2,X4,X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    c_0_1577,
    [final] ).

cnf(c_0_2017,plain,
    ( c_lessequals(X3,X4,X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    c_0_1578,
    [final] ).

cnf(c_0_2018,plain,
    ( c_lessequals(X2,X4,X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    c_0_1579,
    [final] ).

cnf(c_0_2019,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1580,
    [final] ).

cnf(c_0_2020,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X2) != X2 ),
    c_0_1581,
    [final] ).

cnf(c_0_2021,plain,
    ( c_Finite__Set_Ofinite(X3,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2) ),
    c_0_1582,
    [final] ).

cnf(c_0_2022,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    c_0_1583,
    [final] ).

cnf(c_0_2023,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    c_0_1584,
    [final] ).

cnf(c_0_2024,plain,
    ( c_lessequals(X2,X1,tc_fun(X3,X4))
    | c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    c_0_1585,
    [final] ).

cnf(c_0_2025,plain,
    ( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1586,
    [final] ).

cnf(c_0_2026,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_lessequals(c_Finite__Set_Olinorder__class_OMax(X1,X3),c_Finite__Set_Olinorder__class_OMax(X2,X3),X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1587,
    [final] ).

cnf(c_0_2027,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_lessequals(c_Finite__Set_Olinorder__class_OMin(X2,X3),c_Finite__Set_Olinorder__class_OMin(X1,X3),X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1588,
    [final] ).

cnf(c_0_2028,plain,
    ( c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__2(X1,X2,X3) = c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__1(X1,X2,X3)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_1589,
    [final] ).

cnf(c_0_2029,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Collect(X3,X1))) ),
    c_0_1590,
    [final] ).

cnf(c_0_2030,plain,
    ( c_lessequals(c_Finite__Set_Olinorder__class_OMin(X1,X2),X3,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_1591,
    [final] ).

cnf(c_0_2031,plain,
    ( c_lessequals(X3,c_Finite__Set_Olinorder__class_OMax(X1,X2),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_1592,
    [final] ).

cnf(c_0_2032,plain,
    ( c_HOL_Ominus__class_Ominus(hAPP(X1,v_x),hAPP(X2,v_x),X3) = hAPP(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(t_a,X3)),v_x)
    | ~ class_HOL_Ominus(X3) ),
    c_0_1593,
    [final] ).

cnf(c_0_2033,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X2),c_Finite__Set_Olinorder__class_OMin(X1,X2)),X1))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_1594,
    [final] ).

cnf(c_0_2034,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X2),c_Finite__Set_Olinorder__class_OMax(X1,X2)),X1))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_1595,
    [final] ).

cnf(c_0_2035,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1596,
    [final] ).

cnf(c_0_2036,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X1) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1597,
    [final] ).

cnf(c_0_2037,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X2) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1598,
    [final] ).

cnf(c_0_2038,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X1) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1599,
    [final] ).

cnf(c_0_2039,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
    | ~ c_lessequals(X2,X1,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    c_0_1600,
    [final] ).

cnf(c_0_2040,plain,
    ( hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X4),X5)) = hAPP(hAPP(X1,X4),hAPP(hAPP(X1,X3),X5))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2) ),
    c_0_1601,
    [final] ).

cnf(c_0_2041,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X5))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | c_Set_Oinsert(X4,X5,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_1602,
    [final] ).

cnf(c_0_2042,plain,
    ( c_lessequals(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    c_0_1603,
    [final] ).

cnf(c_0_2043,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X4),X1),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_1604,
    [final] ).

cnf(c_0_2044,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X4),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_1605,
    [final] ).

cnf(c_0_2045,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X4),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_1606,
    [final] ).

cnf(c_0_2046,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X4),X1),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_1607,
    [final] ).

cnf(c_0_2047,plain,
    ( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X2),X4),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1608,
    [final] ).

cnf(c_0_2048,plain,
    ( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X4),X2),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1609,
    [final] ).

cnf(c_0_2049,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X4),X2),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1610,
    [final] ).

cnf(c_0_2050,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X2),X4),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1611,
    [final] ).

cnf(c_0_2051,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    c_0_1612,
    [final] ).

cnf(c_0_2052,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    c_0_1613,
    [final] ).

cnf(c_0_2053,plain,
    ( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    c_0_1614,
    [final] ).

cnf(c_0_2054,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X2),c_ATP__Linkup_Osko__Set__Xex__in__conv__1__1(X1,X2)),X1)) ),
    c_0_1615,
    [final] ).

cnf(c_0_2055,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xall__not__in__conv__1__1(X2,X1)),X2))
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    c_0_1616,
    [final] ).

cnf(c_0_2056,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xequals0I__1__1(X2,X1)),X2))
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    c_0_1617,
    [final] ).

cnf(c_0_2057,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Set_Oinsert(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    c_0_1618,
    [final] ).

cnf(c_0_2058,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1619,
    [final] ).

cnf(c_0_2059,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1620,
    [final] ).

cnf(c_0_2060,plain,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1621,
    [final] ).

cnf(c_0_2061,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1622,
    [final] ).

cnf(c_0_2062,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1623,
    [final] ).

cnf(c_0_2063,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1624,
    [final] ).

cnf(c_0_2064,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1625,
    [final] ).

cnf(c_0_2065,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1626,
    [final] ).

cnf(c_0_2066,plain,
    ( c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_1627,
    [final] ).

cnf(c_0_2067,plain,
    ( c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_1628,
    [final] ).

cnf(c_0_2068,plain,
    ( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1
    | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
    c_0_1629,
    [final] ).

cnf(c_0_2069,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    c_0_1630,
    [final] ).

cnf(c_0_2070,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X1,X3) ),
    c_0_1631,
    [final] ).

cnf(c_0_2071,plain,
    ( c_Set_Oinsert(X2,X3,X1) = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1632,
    [final] ).

cnf(c_0_2072,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    c_0_1633,
    [final] ).

cnf(c_0_2073,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    c_0_1634,
    [final] ).

cnf(c_0_2074,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1635,
    [final] ).

cnf(c_0_2075,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1636,
    [final] ).

cnf(c_0_2076,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    c_0_1637,
    [final] ).

cnf(c_0_2077,plain,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    c_0_1638,
    [final] ).

cnf(c_0_2078,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X2),c_Collect(X1,X3)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1639,
    [final] ).

cnf(c_0_2079,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),c_Complete__Lattice_OSup__class_OSup(X2,X3)) = c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,X2,X3),X3)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
    c_0_1640,
    [final] ).

cnf(c_0_2080,plain,
    ( c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3) ),
    c_0_1641,
    [final] ).

cnf(c_0_2081,plain,
    ( c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1642,
    [final] ).

cnf(c_0_2082,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1643,
    [final] ).

cnf(c_0_2083,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1644,
    [final] ).

cnf(c_0_2084,plain,
    ( hBOOL(hAPP(X2,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(X1,X4)) ),
    c_0_1645,
    [final] ).

cnf(c_0_2085,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    c_0_1646,
    [final] ).

cnf(c_0_2086,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1647,
    [final] ).

cnf(c_0_2087,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1648,
    [final] ).

cnf(c_0_2088,plain,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    c_0_1649,
    [final] ).

cnf(c_0_2089,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1650,
    [final] ).

cnf(c_0_2090,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1651,
    [final] ).

cnf(c_0_2091,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1652,
    [final] ).

cnf(c_0_2092,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_1653,
    [final] ).

cnf(c_0_2093,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    c_0_1654,
    [final] ).

cnf(c_0_2094,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_1655,
    [final] ).

cnf(c_0_2095,plain,
    ( ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1656,
    [final] ).

cnf(c_0_2096,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1657,
    [final] ).

cnf(c_0_2097,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1658,
    [final] ).

cnf(c_0_2098,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1659,
    [final] ).

cnf(c_0_2099,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1660,
    [final] ).

cnf(c_0_2100,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1661,
    [final] ).

cnf(c_0_2101,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1662,
    [final] ).

cnf(c_0_2102,plain,
    ( X2 = X3
    | ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
    c_0_1663,
    [final] ).

cnf(c_0_2103,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X1),X3),X2)
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    c_0_1664,
    [final] ).

cnf(c_0_2104,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X1),X2)
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    c_0_1665,
    [final] ).

cnf(c_0_2105,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X1),X2)
    | ~ class_Lattices_Olattice(X2) ),
    c_0_1666,
    [final] ).

cnf(c_0_2106,plain,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X1),X3),X2)
    | ~ class_Lattices_Olattice(X2) ),
    c_0_1667,
    [final] ).

cnf(c_0_2107,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1668,
    [final] ).

cnf(c_0_2108,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1669,
    [final] ).

cnf(c_0_2109,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    c_0_1670,
    [final] ).

cnf(c_0_2110,plain,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    c_0_1671,
    [final] ).

cnf(c_0_2111,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = X2
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1672,
    [final] ).

cnf(c_0_2112,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = X2
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1673,
    [final] ).

cnf(c_0_2113,plain,
    ( c_Finite__Set_Ofinite(X1,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    c_0_1674,
    [final] ).

cnf(c_0_2114,plain,
    ( c_Finite__Set_Ofinite(X3,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
    c_0_1675,
    [final] ).

cnf(c_0_2115,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1676,
    [final] ).

cnf(c_0_2116,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),X2,X3) ),
    c_0_1677,
    [final] ).

cnf(c_0_2117,plain,
    ( X2 = X1
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1678,
    [final] ).

cnf(c_0_2118,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1679,
    [final] ).

cnf(c_0_2119,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1680,
    [final] ).

cnf(c_0_2120,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1681,
    [final] ).

cnf(c_0_2121,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1682,
    [final] ).

cnf(c_0_2122,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1683,
    [final] ).

cnf(c_0_2123,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1684,
    [final] ).

cnf(c_0_2124,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1685,
    [final] ).

cnf(c_0_2125,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1686,
    [final] ).

cnf(c_0_2126,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1687,
    [final] ).

cnf(c_0_2127,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X2) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_1688,
    [final] ).

cnf(c_0_2128,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X1) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_1689,
    [final] ).

cnf(c_0_2129,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X2),X1) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1690,
    [final] ).

cnf(c_0_2130,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X2) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1691,
    [final] ).

cnf(c_0_2131,plain,
    ( c_lessequals(X1,X2,X3)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X2) != X1
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_1692,
    [final] ).

cnf(c_0_2132,plain,
    ( c_lessequals(X1,X2,X3)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X2) != X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1693,
    [final] ).

cnf(c_0_2133,plain,
    ( c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    c_0_1694,
    [final] ).

cnf(c_0_2134,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oinsert(c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(X1,X2),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(X1,X2),X2) = X1 ),
    c_0_1695,
    [final] ).

cnf(c_0_2135,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_1696,
    [final] ).

cnf(c_0_2136,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1697,
    [final] ).

cnf(c_0_2137,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1698,
    [final] ).

cnf(c_0_2138,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1699,
    [final] ).

cnf(c_0_2139,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X2 = X1
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1700,
    [final] ).

cnf(c_0_2140,plain,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1701,
    [final] ).

cnf(c_0_2141,plain,
    ( c_lessequals(X1,X1,X2)
    | c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_1702,
    [final] ).

cnf(c_0_2142,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1703,
    [final] ).

cnf(c_0_2143,plain,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1704,
    [final] ).

cnf(c_0_2144,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1705,
    [final] ).

cnf(c_0_2145,plain,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Collect(X1,X3) ),
    c_0_1706,
    [final] ).

cnf(c_0_2146,plain,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_Collect(X1,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_1707,
    [final] ).

cnf(c_0_2147,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    c_0_1708,
    [final] ).

cnf(c_0_2148,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1709,
    [final] ).

cnf(c_0_2149,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    c_0_1710,
    [final] ).

cnf(c_0_2150,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1711,
    [final] ).

cnf(c_0_2151,plain,
    ( hAPP(hAPP(X1,X3),X4) = hAPP(hAPP(X1,X4),X3)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2) ),
    c_0_1712,
    [final] ).

cnf(c_0_2152,plain,
    ( X1 = c_Orderings_Otop__class_Otop(X2)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X1) != c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_1713,
    [final] ).

cnf(c_0_2153,plain,
    ( X1 = c_Orderings_Otop__class_Otop(X2)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X1),X3) != c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_1714,
    [final] ).

cnf(c_0_2154,plain,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X1),X3) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_1715,
    [final] ).

cnf(c_0_2155,plain,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X1) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_1716,
    [final] ).

cnf(c_0_2156,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_1717,
    [final] ).

cnf(c_0_2157,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_1718,
    [final] ).

cnf(c_0_2158,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    c_0_1719,
    [final] ).

cnf(c_0_2159,plain,
    ( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    c_0_1720,
    [final] ).

cnf(c_0_2160,plain,
    ( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    c_0_1721,
    [final] ).

cnf(c_0_2161,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Otop__class_Otop(X1)),X2) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_1722,
    [final] ).

cnf(c_0_2162,plain,
    ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Orderings_Otop(X1) ),
    c_0_1723,
    [final] ).

cnf(c_0_2163,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Obot__class_Obot(X1)),X2) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_1724,
    [final] ).

cnf(c_0_2164,plain,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Orderings_Obot(X1) ),
    c_0_1725,
    [final] ).

cnf(c_0_2165,plain,
    ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    c_0_1726,
    [final] ).

cnf(c_0_2166,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_1727,
    [final] ).

cnf(c_0_2167,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Obot__class_Obot(X1)),X2) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_1728,
    [final] ).

cnf(c_0_2168,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Otop__class_Otop(X1)) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_1729,
    [final] ).

cnf(c_0_2169,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_1730,
    [final] ).

cnf(c_0_2170,plain,
    ( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
    | ~ class_Orderings_Otop(X2) ),
    c_0_1731,
    [final] ).

cnf(c_0_2171,plain,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    c_0_1732,
    [final] ).

cnf(c_0_2172,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Otop__class_Otop(X1)) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_1733,
    [final] ).

cnf(c_0_2173,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Obot__class_Obot(X1)) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_1734,
    [final] ).

cnf(c_0_2174,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_1735,
    [final] ).

cnf(c_0_2175,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    c_0_1736,
    [final] ).

cnf(c_0_2176,plain,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X2) = X2
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    c_0_1737,
    [final] ).

cnf(c_0_2177,plain,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X2) = X2
    | ~ class_Lattices_Olower__semilattice(X1) ),
    c_0_1738,
    [final] ).

cnf(c_0_2178,plain,
    ( class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
    | ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | ~ class_Finite__Set_Ofinite_Ofinite(X2) ),
    c_0_1739,
    [final] ).

cnf(c_0_2179,plain,
    ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X2,X1))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    c_0_1740,
    [final] ).

cnf(c_0_2180,plain,
    ( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1741,
    [final] ).

cnf(c_0_2181,plain,
    ( class_Lattices_Olower__semilattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1742,
    [final] ).

cnf(c_0_2182,plain,
    ( class_Lattices_Odistrib__lattice(tc_fun(X2,X1))
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    c_0_1743,
    [final] ).

cnf(c_0_2183,plain,
    ( class_Lattices_Obounded__lattice(tc_fun(X2,X1))
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_1744,
    [final] ).

cnf(c_0_2184,plain,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    c_0_1745,
    [final] ).

cnf(c_0_2185,plain,
    ( class_Lattices_Olattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1746,
    [final] ).

cnf(c_0_2186,plain,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    c_0_1747,
    [final] ).

cnf(c_0_2187,plain,
    ( class_Orderings_Otop(tc_fun(X2,X1))
    | ~ class_Orderings_Otop(X1) ),
    c_0_1748,
    [final] ).

cnf(c_0_2188,plain,
    ( class_Orderings_Obot(tc_fun(X2,X1))
    | ~ class_Orderings_Obot(X1) ),
    c_0_1749,
    [final] ).

cnf(c_0_2189,plain,
    ( class_HOL_Ominus(tc_fun(X2,X1))
    | ~ class_HOL_Ominus(X1) ),
    c_0_1750,
    [final] ).

cnf(c_0_2190,plain,
    ( class_HOL_Oord(tc_fun(X2,X1))
    | ~ class_HOL_Oord(X1) ),
    c_0_1751,
    [final] ).

cnf(c_0_2191,plain,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Finite__Set_Ofinite_Ofinite(X2) ),
    c_0_1752,
    [final] ).

cnf(c_0_2192,plain,
    ( class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(X1))
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    c_0_1753,
    [final] ).

cnf(c_0_2193,plain,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    c_0_1754,
    [final] ).

cnf(c_0_2194,plain,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    c_0_1755,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_1756_0,axiom,
    ( c_Complete__Lattice_Ocomplete__lattice(X2,X1,c_COMBC(X3,X9,X9,tc_bool),c_COMBC(X4,X9,X9,tc_bool),X6,X5,X8,X7,X9)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1756]) ).

cnf(c_0_1756_1,axiom,
    ( ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | c_Complete__Lattice_Ocomplete__lattice(X2,X1,c_COMBC(X3,X9,X9,tc_bool),c_COMBC(X4,X9,X9,tc_bool),X6,X5,X8,X7,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1756]) ).

cnf(c_0_1757_0,axiom,
    ( hAPP(hAPP(X6,X11),hAPP(X2,X10)) = c_Finite__Set_Ofold(X6,X11,X10,X9,X9)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ c_Finite__Set_Ofinite(X10,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1757]) ).

cnf(c_0_1757_1,axiom,
    ( ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hAPP(hAPP(X6,X11),hAPP(X2,X10)) = c_Finite__Set_Ofold(X6,X11,X10,X9,X9)
    | ~ c_Finite__Set_Ofinite(X10,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1757]) ).

cnf(c_0_1757_2,axiom,
    ( ~ c_Finite__Set_Ofinite(X10,X9)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hAPP(hAPP(X6,X11),hAPP(X2,X10)) = c_Finite__Set_Ofold(X6,X11,X10,X9,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1757]) ).

cnf(c_0_1758_0,axiom,
    ( hAPP(hAPP(X5,X11),hAPP(X1,X10)) = c_Finite__Set_Ofold(X5,X11,X10,X9,X9)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ c_Finite__Set_Ofinite(X10,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1758]) ).

cnf(c_0_1758_1,axiom,
    ( ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hAPP(hAPP(X5,X11),hAPP(X1,X10)) = c_Finite__Set_Ofold(X5,X11,X10,X9,X9)
    | ~ c_Finite__Set_Ofinite(X10,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1758]) ).

cnf(c_0_1758_2,axiom,
    ( ~ c_Finite__Set_Ofinite(X10,X9)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hAPP(hAPP(X5,X11),hAPP(X1,X10)) = c_Finite__Set_Ofold(X5,X11,X10,X9,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1758]) ).

cnf(c_0_1759_0,axiom,
    ( hAPP(X2,X10) = c_Finite__Set_Ofold(X6,X7,X10,X9,X9)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ c_Finite__Set_Ofinite(X10,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1759]) ).

cnf(c_0_1759_1,axiom,
    ( ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hAPP(X2,X10) = c_Finite__Set_Ofold(X6,X7,X10,X9,X9)
    | ~ c_Finite__Set_Ofinite(X10,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1759]) ).

cnf(c_0_1759_2,axiom,
    ( ~ c_Finite__Set_Ofinite(X10,X9)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hAPP(X2,X10) = c_Finite__Set_Ofold(X6,X7,X10,X9,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1759]) ).

cnf(c_0_1760_0,axiom,
    ( hAPP(X1,X10) = c_Finite__Set_Ofold(X5,X8,X10,X9,X9)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ c_Finite__Set_Ofinite(X10,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1760]) ).

cnf(c_0_1760_1,axiom,
    ( ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hAPP(X1,X10) = c_Finite__Set_Ofold(X5,X8,X10,X9,X9)
    | ~ c_Finite__Set_Ofinite(X10,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1760]) ).

cnf(c_0_1760_2,axiom,
    ( ~ c_Finite__Set_Ofinite(X10,X9)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hAPP(X1,X10) = c_Finite__Set_Ofold(X5,X8,X10,X9,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1760]) ).

cnf(c_0_1761_0,axiom,
    ( hAPP(X2,c_Set_Oinsert(X10,c_Set_Oinsert(X11,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9),X9)) = hAPP(hAPP(X6,X10),X11)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1761]) ).

cnf(c_0_1761_1,axiom,
    ( ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hAPP(X2,c_Set_Oinsert(X10,c_Set_Oinsert(X11,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9),X9)) = hAPP(hAPP(X6,X10),X11) ),
    inference(literals_permutation,[status(thm)],[c_0_1761]) ).

cnf(c_0_1762_0,axiom,
    ( hAPP(X1,c_Set_Oinsert(X10,c_Set_Oinsert(X11,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9),X9)) = hAPP(hAPP(X5,X10),X11)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1762]) ).

cnf(c_0_1762_1,axiom,
    ( ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hAPP(X1,c_Set_Oinsert(X10,c_Set_Oinsert(X11,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9),X9)) = hAPP(hAPP(X5,X10),X11) ),
    inference(literals_permutation,[status(thm)],[c_0_1762]) ).

cnf(c_0_1763_0,axiom,
    ( hBOOL(hAPP(hAPP(X3,hAPP(X1,X11)),X10))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ hBOOL(hAPP(hAPP(c_in(X9),X10),X11)) ),
    inference(literals_permutation,[status(thm)],[c_0_1763]) ).

cnf(c_0_1763_1,axiom,
    ( ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hBOOL(hAPP(hAPP(X3,hAPP(X1,X11)),X10))
    | ~ hBOOL(hAPP(hAPP(c_in(X9),X10),X11)) ),
    inference(literals_permutation,[status(thm)],[c_0_1763]) ).

cnf(c_0_1763_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X9),X10),X11))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hBOOL(hAPP(hAPP(X3,hAPP(X1,X11)),X10)) ),
    inference(literals_permutation,[status(thm)],[c_0_1763]) ).

cnf(c_0_1764_0,axiom,
    ( hBOOL(hAPP(hAPP(X3,X10),hAPP(X2,X11)))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ hBOOL(hAPP(hAPP(c_in(X9),X10),X11)) ),
    inference(literals_permutation,[status(thm)],[c_0_1764]) ).

cnf(c_0_1764_1,axiom,
    ( ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hBOOL(hAPP(hAPP(X3,X10),hAPP(X2,X11)))
    | ~ hBOOL(hAPP(hAPP(c_in(X9),X10),X11)) ),
    inference(literals_permutation,[status(thm)],[c_0_1764]) ).

cnf(c_0_1764_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X9),X10),X11))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hBOOL(hAPP(hAPP(X3,X10),hAPP(X2,X11))) ),
    inference(literals_permutation,[status(thm)],[c_0_1764]) ).

cnf(c_0_1765_0,axiom,
    ( hAPP(X2,c_Set_Oinsert(X10,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9)) = X10
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1765]) ).

cnf(c_0_1765_1,axiom,
    ( ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hAPP(X2,c_Set_Oinsert(X10,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9)) = X10 ),
    inference(literals_permutation,[status(thm)],[c_0_1765]) ).

cnf(c_0_1766_0,axiom,
    ( hAPP(X1,c_Set_Oinsert(X10,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9)) = X10
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1766]) ).

cnf(c_0_1766_1,axiom,
    ( ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hAPP(X1,c_Set_Oinsert(X10,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9)) = X10 ),
    inference(literals_permutation,[status(thm)],[c_0_1766]) ).

cnf(c_0_1767_0,axiom,
    ( hAPP(X2,c_Set_Oinsert(X10,X11,X9)) = hAPP(hAPP(X6,X10),hAPP(X2,X11))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1767]) ).

cnf(c_0_1767_1,axiom,
    ( ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hAPP(X2,c_Set_Oinsert(X10,X11,X9)) = hAPP(hAPP(X6,X10),hAPP(X2,X11)) ),
    inference(literals_permutation,[status(thm)],[c_0_1767]) ).

cnf(c_0_1768_0,axiom,
    ( hAPP(X1,c_Set_Oinsert(X10,X11,X9)) = hAPP(hAPP(X5,X10),hAPP(X1,X11))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1768]) ).

cnf(c_0_1768_1,axiom,
    ( ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hAPP(X1,c_Set_Oinsert(X10,X11,X9)) = hAPP(hAPP(X5,X10),hAPP(X1,X11)) ),
    inference(literals_permutation,[status(thm)],[c_0_1768]) ).

cnf(c_0_1769_0,axiom,
    ( hAPP(X2,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool))) = X8
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1769]) ).

cnf(c_0_1769_1,axiom,
    ( ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hAPP(X2,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool))) = X8 ),
    inference(literals_permutation,[status(thm)],[c_0_1769]) ).

cnf(c_0_1770_0,axiom,
    ( hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool))) = X7
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1770]) ).

cnf(c_0_1770_1,axiom,
    ( ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool))) = X7 ),
    inference(literals_permutation,[status(thm)],[c_0_1770]) ).

cnf(c_0_1771_0,axiom,
    ( hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))) = X8
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1771]) ).

cnf(c_0_1771_1,axiom,
    ( ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))) = X8 ),
    inference(literals_permutation,[status(thm)],[c_0_1771]) ).

cnf(c_0_1772_0,axiom,
    ( hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))) = X7
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1772]) ).

cnf(c_0_1772_1,axiom,
    ( ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))) = X7 ),
    inference(literals_permutation,[status(thm)],[c_0_1772]) ).

cnf(c_0_1773_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),X5),X3))
    | c_Finite__Set_Ofold__image(X1,X6,X7,c_Set_Oinsert(X5,X3,X4),X2,X4) = hAPP(hAPP(X1,hAPP(X6,X5)),c_Finite__Set_Ofold__image(X1,X6,X7,X3,X2,X4))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1773]) ).

cnf(c_0_1773_1,axiom,
    ( c_Finite__Set_Ofold__image(X1,X6,X7,c_Set_Oinsert(X5,X3,X4),X2,X4) = hAPP(hAPP(X1,hAPP(X6,X5)),c_Finite__Set_Ofold__image(X1,X6,X7,X3,X2,X4))
    | hBOOL(hAPP(hAPP(c_in(X4),X5),X3))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1773]) ).

cnf(c_0_1773_2,axiom,
    ( ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | c_Finite__Set_Ofold__image(X1,X6,X7,c_Set_Oinsert(X5,X3,X4),X2,X4) = hAPP(hAPP(X1,hAPP(X6,X5)),c_Finite__Set_Ofold__image(X1,X6,X7,X3,X2,X4))
    | hBOOL(hAPP(hAPP(c_in(X4),X5),X3))
    | ~ c_Finite__Set_Ofinite(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1773]) ).

cnf(c_0_1773_3,axiom,
    ( ~ c_Finite__Set_Ofinite(X3,X4)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | c_Finite__Set_Ofold__image(X1,X6,X7,c_Set_Oinsert(X5,X3,X4),X2,X4) = hAPP(hAPP(X1,hAPP(X6,X5)),c_Finite__Set_Ofold__image(X1,X6,X7,X3,X2,X4))
    | hBOOL(hAPP(hAPP(c_in(X4),X5),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1773]) ).

cnf(c_0_1774_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X2),X3),X4))
    | c_Finite__Set_Ofold__graph(X1,X6,c_Set_Oinsert(X3,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),X5,X2,X2)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X2,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X6),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1774]) ).

cnf(c_0_1774_1,axiom,
    ( c_Finite__Set_Ofold__graph(X1,X6,c_Set_Oinsert(X3,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),X5,X2,X2)
    | hBOOL(hAPP(hAPP(c_in(X2),X3),X4))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X2,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X6),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1774]) ).

cnf(c_0_1774_2,axiom,
    ( ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | c_Finite__Set_Ofold__graph(X1,X6,c_Set_Oinsert(X3,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),X5,X2,X2)
    | hBOOL(hAPP(hAPP(c_in(X2),X3),X4))
    | ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X2,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X6),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1774]) ).

cnf(c_0_1774_3,axiom,
    ( ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X2,X2)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | c_Finite__Set_Ofold__graph(X1,X6,c_Set_Oinsert(X3,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),X5,X2,X2)
    | hBOOL(hAPP(hAPP(c_in(X2),X3),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X6),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1774]) ).

cnf(c_0_1774_4,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X2),X6),X4))
    | ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X2,X2)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | c_Finite__Set_Ofold__graph(X1,X6,c_Set_Oinsert(X3,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),X5,X2,X2)
    | hBOOL(hAPP(hAPP(c_in(X2),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1774]) ).

cnf(c_0_1775_0,axiom,
    ( c_Finite__Set_Ofold__graph(X1,X2,X3,hAPP(hAPP(X1,X4),X6),X5,X7)
    | ~ c_Finite__Set_Ofold__graph(X1,X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X6,X5,X7)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X4),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1775]) ).

cnf(c_0_1775_1,axiom,
    ( ~ c_Finite__Set_Ofold__graph(X1,X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X6,X5,X7)
    | c_Finite__Set_Ofold__graph(X1,X2,X3,hAPP(hAPP(X1,X4),X6),X5,X7)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X4),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1775]) ).

cnf(c_0_1775_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X5),X4),X3))
    | ~ c_Finite__Set_Ofold__graph(X1,X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X6,X5,X7)
    | c_Finite__Set_Ofold__graph(X1,X2,X3,hAPP(hAPP(X1,X4),X6),X5,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1775]) ).

cnf(c_0_1776_0,axiom,
    ( c_Nitpick_Ofold__graph_H(X4,X5,X3,hAPP(hAPP(X4,X2),X6),X1,X7)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_Nitpick_Ofold__graph_H(X4,X5,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X6,X1,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1776]) ).

cnf(c_0_1776_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Nitpick_Ofold__graph_H(X4,X5,X3,hAPP(hAPP(X4,X2),X6),X1,X7)
    | ~ c_Nitpick_Ofold__graph_H(X4,X5,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X6,X1,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1776]) ).

cnf(c_0_1776_2,axiom,
    ( ~ c_Nitpick_Ofold__graph_H(X4,X5,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X6,X1,X7)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Nitpick_Ofold__graph_H(X4,X5,X3,hAPP(hAPP(X4,X2),X6),X1,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1776]) ).

cnf(c_0_1777_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X2),X3),X4))
    | c_Finite__Set_Ofold__graph(X1,X6,c_Set_Oinsert(X3,X4,X2),hAPP(hAPP(X1,X6),X5),X2,X2)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1777]) ).

cnf(c_0_1777_1,axiom,
    ( c_Finite__Set_Ofold__graph(X1,X6,c_Set_Oinsert(X3,X4,X2),hAPP(hAPP(X1,X6),X5),X2,X2)
    | hBOOL(hAPP(hAPP(c_in(X2),X3),X4))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1777]) ).

cnf(c_0_1777_2,axiom,
    ( ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | c_Finite__Set_Ofold__graph(X1,X6,c_Set_Oinsert(X3,X4,X2),hAPP(hAPP(X1,X6),X5),X2,X2)
    | hBOOL(hAPP(hAPP(c_in(X2),X3),X4))
    | ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1777]) ).

cnf(c_0_1777_3,axiom,
    ( ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X2,X2)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | c_Finite__Set_Ofold__graph(X1,X6,c_Set_Oinsert(X3,X4,X2),hAPP(hAPP(X1,X6),X5),X2,X2)
    | hBOOL(hAPP(hAPP(c_in(X2),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1777]) ).

cnf(c_0_1778_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Finite__Set_Ofold__graph(X4,X5,c_Set_Oinsert(X2,X3,X1),hAPP(hAPP(X4,X2),X6),X1,X7)
    | ~ c_Finite__Set_Ofold__graph(X4,X5,X3,X6,X1,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1778]) ).

cnf(c_0_1778_1,axiom,
    ( c_Finite__Set_Ofold__graph(X4,X5,c_Set_Oinsert(X2,X3,X1),hAPP(hAPP(X4,X2),X6),X1,X7)
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_Finite__Set_Ofold__graph(X4,X5,X3,X6,X1,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1778]) ).

cnf(c_0_1778_2,axiom,
    ( ~ c_Finite__Set_Ofold__graph(X4,X5,X3,X6,X1,X7)
    | c_Finite__Set_Ofold__graph(X4,X5,c_Set_Oinsert(X2,X3,X1),hAPP(hAPP(X4,X2),X6),X1,X7)
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1778]) ).

cnf(c_0_1779_0,axiom,
    ( c_Finite__Set_Ofold__image(X1,X7,X8,c_Set_Oimage(X5,X3,X4,X6),X2,X6) = c_Finite__Set_Ofold__image(X1,c_Fun_Ocomp(X7,X5,X6,X2,X4),X8,X3,X2,X4)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X4)
    | ~ c_Fun_Oinj__on(X5,X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1779]) ).

cnf(c_0_1779_1,axiom,
    ( ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | c_Finite__Set_Ofold__image(X1,X7,X8,c_Set_Oimage(X5,X3,X4,X6),X2,X6) = c_Finite__Set_Ofold__image(X1,c_Fun_Ocomp(X7,X5,X6,X2,X4),X8,X3,X2,X4)
    | ~ c_Finite__Set_Ofinite(X3,X4)
    | ~ c_Fun_Oinj__on(X5,X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1779]) ).

cnf(c_0_1779_2,axiom,
    ( ~ c_Finite__Set_Ofinite(X3,X4)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | c_Finite__Set_Ofold__image(X1,X7,X8,c_Set_Oimage(X5,X3,X4,X6),X2,X6) = c_Finite__Set_Ofold__image(X1,c_Fun_Ocomp(X7,X5,X6,X2,X4),X8,X3,X2,X4)
    | ~ c_Fun_Oinj__on(X5,X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1779]) ).

cnf(c_0_1779_3,axiom,
    ( ~ c_Fun_Oinj__on(X5,X3,X4,X6)
    | ~ c_Finite__Set_Ofinite(X3,X4)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | c_Finite__Set_Ofold__image(X1,X7,X8,c_Set_Oimage(X5,X3,X4,X6),X2,X6) = c_Finite__Set_Ofold__image(X1,c_Fun_Ocomp(X7,X5,X6,X2,X4),X8,X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1779]) ).

cnf(c_0_1780_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X5),X2),X3))
    | c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,X3,X5),X4,X5)
    | ~ c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X5,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1780]) ).

cnf(c_0_1780_1,axiom,
    ( c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,X3,X5),X4,X5)
    | hBOOL(hAPP(hAPP(c_in(X5),X2),X3))
    | ~ c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X5,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1780]) ).

cnf(c_0_1780_2,axiom,
    ( ~ c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X5,X5)
    | c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,X3,X5),X4,X5)
    | hBOOL(hAPP(hAPP(c_in(X5),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1780]) ).

cnf(c_0_1781_0,axiom,
    ( X4 = X2
    | ~ c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1781]) ).

cnf(c_0_1781_1,axiom,
    ( ~ c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,X5)
    | X4 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1781]) ).

cnf(c_0_1782_0,axiom,
    ( c_Finite__Set_Ofinite(X3,X5)
    | ~ c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1782]) ).

cnf(c_0_1782_1,axiom,
    ( ~ c_Finite__Set_Ofold__graph(X1,X2,X3,X4,X5,X6)
    | c_Finite__Set_Ofinite(X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1782]) ).

cnf(c_0_1783_0,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X1,X2)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_1783]) ).

cnf(c_0_1783_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X1,X2)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5)))
    | ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1783]) ).

cnf(c_0_1784_0,axiom,
    ( c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5)
    | ~ c_Fun_Oinj__on(X1,X3,X2,X5)
    | ~ c_Fun_Oinj__on(X1,X4,X2,X5)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X2,tc_bool)),X2,X5)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X2,tc_bool)),X2,X5)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1784]) ).

cnf(c_0_1784_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X3,X2,X5)
    | c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5)
    | ~ c_Fun_Oinj__on(X1,X4,X2,X5)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X2,tc_bool)),X2,X5)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X2,tc_bool)),X2,X5)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1784]) ).

cnf(c_0_1784_2,axiom,
    ( ~ c_Fun_Oinj__on(X1,X4,X2,X5)
    | ~ c_Fun_Oinj__on(X1,X3,X2,X5)
    | c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X2,tc_bool)),X2,X5)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X2,tc_bool)),X2,X5)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1784]) ).

cnf(c_0_1784_3,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X2,tc_bool)),X2,X5)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X2,tc_bool)),X2,X5)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X4,X2,X5)
    | ~ c_Fun_Oinj__on(X1,X3,X2,X5)
    | c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1784]) ).

cnf(c_0_1785_0,axiom,
    ( hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(c_Fun_Ocomp(X7,X8,X9,X4,X10),X11)
    | hAPP(X1,hAPP(X2,X6)) != hAPP(X7,hAPP(X8,X11)) ),
    inference(literals_permutation,[status(thm)],[c_0_1785]) ).

cnf(c_0_1785_1,axiom,
    ( hAPP(X1,hAPP(X2,X6)) != hAPP(X7,hAPP(X8,X11))
    | hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(c_Fun_Ocomp(X7,X8,X9,X4,X10),X11) ),
    inference(literals_permutation,[status(thm)],[c_0_1785]) ).

cnf(c_0_1786_0,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4)
    | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1786]) ).

cnf(c_0_1786_1,axiom,
    ( ~ c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4)
    | c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1786]) ).

cnf(c_0_1787_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X1,X5)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X4)))
    | c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1787]) ).

cnf(c_0_1787_1,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4)
    | hBOOL(hAPP(hAPP(c_in(X4),hAPP(X1,X5)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X4)))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1787]) ).

cnf(c_0_1787_2,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4)
    | hBOOL(hAPP(hAPP(c_in(X4),hAPP(X1,X5)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1787]) ).

cnf(c_0_1788_0,axiom,
    ( c_Fun_Oinj__on(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X5,c_Set_Oimage(X1,X2,X3,X4),X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1788]) ).

cnf(c_0_1788_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Fun_Oinj__on(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Fun_Oinj__on(X5,c_Set_Oimage(X1,X2,X3,X4),X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1788]) ).

cnf(c_0_1788_2,axiom,
    ( ~ c_Fun_Oinj__on(X5,c_Set_Oimage(X1,X2,X3,X4),X4,X6)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Fun_Oinj__on(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1788]) ).

cnf(c_0_1789_0,axiom,
    ( hAPP(X1,hAPP(X2,X3)) = hAPP(X4,hAPP(X5,X3))
    | c_Fun_Ocomp(X1,X2,X6,X7,X8) != c_Fun_Ocomp(X4,X5,X9,X7,X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1789]) ).

cnf(c_0_1789_1,axiom,
    ( c_Fun_Ocomp(X1,X2,X6,X7,X8) != c_Fun_Ocomp(X4,X5,X9,X7,X8)
    | hAPP(X1,hAPP(X2,X3)) = hAPP(X4,hAPP(X5,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1789]) ).

cnf(c_0_1790_0,axiom,
    ( hAPP(X1,hAPP(X2,X3)) = hAPP(X4,X3)
    | c_Fun_Ocomp(X1,X2,X5,X6,X7) != c_Fun_Ocomp(c_Fun_Oid(X6),X4,X6,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1790]) ).

cnf(c_0_1790_1,axiom,
    ( c_Fun_Ocomp(X1,X2,X5,X6,X7) != c_Fun_Ocomp(c_Fun_Oid(X6),X4,X6,X6,X7)
    | hAPP(X1,hAPP(X2,X3)) = hAPP(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1790]) ).

cnf(c_0_1791_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X4),c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X2),X3,X1,X2,X2)) = c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X2),X3,c_Set_Oinsert(X4,X1,X2),X2,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1791]) ).

cnf(c_0_1791_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X4),c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X2),X3,X1,X2,X2)) = c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X2),X3,c_Set_Oinsert(X4,X1,X2),X2,X2)
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1791]) ).

cnf(c_0_1791_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X4),c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X2),X3,X1,X2,X2)) = c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X2),X3,c_Set_Oinsert(X4,X1,X2),X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1791]) ).

cnf(c_0_1792_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X4),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),X3,X1,X2,X2)) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),X3,c_Set_Oinsert(X4,X1,X2),X2,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1792]) ).

cnf(c_0_1792_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X4),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),X3,X1,X2,X2)) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),X3,c_Set_Oinsert(X4,X1,X2),X2,X2)
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1792]) ).

cnf(c_0_1792_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X4),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),X3,X1,X2,X2)) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),X3,c_Set_Oinsert(X4,X1,X2),X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1792]) ).

cnf(c_0_1793_0,axiom,
    ( c_lessequals(X2,X3,tc_fun(X1,tc_bool))
    | ~ c_lessequals(hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2),hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X3),tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1793]) ).

cnf(c_0_1793_1,axiom,
    ( ~ c_lessequals(hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2),hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X3),tc_fun(X1,tc_bool))
    | c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1793]) ).

cnf(c_0_1794_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X2,tc_bool)),X2,X5)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X2,tc_bool)),X2,X5)) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1794]) ).

cnf(c_0_1794_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X2,tc_bool)),X2,X5)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X2,tc_bool)),X2,X5)) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1794]) ).

cnf(c_0_1795_0,axiom,
    ( hAPP(X3,X2) = X4
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X1,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_1795]) ).

cnf(c_0_1795_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X1,X5)))
    | hAPP(X3,X2) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_1795]) ).

cnf(c_0_1796_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_Set_Oimage(X1,X5,X3,X4)),c_Set_Oimage(X1,X6,X3,X4)) = c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X5),X6),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1796]) ).

cnf(c_0_1796_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_Set_Oimage(X1,X5,X3,X4)),c_Set_Oimage(X1,X6,X3,X4)) = c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X5),X6),X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1796]) ).

cnf(c_0_1796_2,axiom,
    ( ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_Set_Oimage(X1,X5,X3,X4)),c_Set_Oimage(X1,X6,X3,X4)) = c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X5),X6),X3,X4)
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1796]) ).

cnf(c_0_1796_3,axiom,
    ( ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_Set_Oimage(X1,X5,X3,X4)),c_Set_Oimage(X1,X6,X3,X4)) = c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X5),X6),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1796]) ).

cnf(c_0_1797_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),X4,X1,X2,X2),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1797]) ).

cnf(c_0_1797_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),X4,X1,X2,X2),X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1797]) ).

cnf(c_0_1797_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),X4,X1,X2,X2),X2)
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1797]) ).

cnf(c_0_1797_3,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),X4,X1,X2,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1797]) ).

cnf(c_0_1798_0,axiom,
    ( c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X2),X4,X1,X2,X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1798]) ).

cnf(c_0_1798_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X2),X4,X1,X2,X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1798]) ).

cnf(c_0_1798_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X2),X4,X1,X2,X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1798]) ).

cnf(c_0_1798_3,axiom,
    ( ~ class_Lattices_Olower__semilattice(X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X2),X4,X1,X2,X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1798]) ).

cnf(c_0_1799_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Set_Oimage(X1,X4,X2,X3)),c_Set_Oimage(X1,X5,X2,X3)) = c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X4),X5),X2,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1799]) ).

cnf(c_0_1799_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Set_Oimage(X1,X4,X2,X3)),c_Set_Oimage(X1,X5,X2,X3)) = c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X4),X5),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1799]) ).

cnf(c_0_1800_0,axiom,
    ( hAPP(c_Fun_Ooverride__on(X4,X5,X3,X1,X6),X2) = hAPP(X5,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1800]) ).

cnf(c_0_1800_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hAPP(c_Fun_Ooverride__on(X4,X5,X3,X1,X6),X2) = hAPP(X5,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1800]) ).

cnf(c_0_1801_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hAPP(c_Fun_Ooverride__on(X4,X5,X3,X1,X6),X2) = hAPP(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1801]) ).

cnf(c_0_1801_1,axiom,
    ( hAPP(c_Fun_Ooverride__on(X4,X5,X3,X1,X6),X2) = hAPP(X4,X2)
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1801]) ).

cnf(c_0_1802_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X2),X4),X5))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,X5,X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1802]) ).

cnf(c_0_1802_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hBOOL(hAPP(hAPP(c_in(X2),X4),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,X5,X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1802]) ).

cnf(c_0_1802_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,X5,X2,X3)))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hBOOL(hAPP(hAPP(c_in(X2),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1802]) ).

cnf(c_0_1803_0,axiom,
    ( c_lessequals(hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X1),hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X2),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1803]) ).

cnf(c_0_1803_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X1),hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X2),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1803]) ).

cnf(c_0_1804_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1(X2,X3,X1,X4)),X2))
    | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X1,tc_fun(X4,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1804]) ).

cnf(c_0_1804_1,axiom,
    ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X1,tc_fun(X4,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1(X2,X3,X1,X4)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1804]) ).

cnf(c_0_1805_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1(X2,X3,X1,X4)),X2))
    | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X1,tc_fun(X4,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1805]) ).

cnf(c_0_1805_1,axiom,
    ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X1,tc_fun(X4,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1(X2,X3,X1,X4)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1805]) ).

cnf(c_0_1806_0,axiom,
    ( c_lessequals(X4,X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1806]) ).

cnf(c_0_1806_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_lessequals(X4,X5,tc_fun(X2,tc_bool))
    | ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1806]) ).

cnf(c_0_1806_2,axiom,
    ( ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1806]) ).

cnf(c_0_1807_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1807]) ).

cnf(c_0_1807_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1807]) ).

cnf(c_0_1807_2,axiom,
    ( ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1807]) ).

cnf(c_0_1807_3,axiom,
    ( ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1807]) ).

cnf(c_0_1808_0,axiom,
    ( c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1808]) ).

cnf(c_0_1808_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
    | ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1808]) ).

cnf(c_0_1808_2,axiom,
    ( ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1808]) ).

cnf(c_0_1809_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1809]) ).

cnf(c_0_1809_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1809]) ).

cnf(c_0_1810_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_1810]) ).

cnf(c_0_1810_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
    | hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1810]) ).

cnf(c_0_1811_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_1811]) ).

cnf(c_0_1811_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
    | hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1811]) ).

cnf(c_0_1812_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4)),X1) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1812]) ).

cnf(c_0_1812_1,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4)),X1) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1))
    | c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1812]) ).

cnf(c_0_1813_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,X5,X2,X3)))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1813]) ).

cnf(c_0_1813_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,X5,X2,X3)))
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1813]) ).

cnf(c_0_1813_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X2),X4),X5))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,X5,X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1813]) ).

cnf(c_0_1814_0,axiom,
    ( X1 = X2
    | hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X1) != hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1814]) ).

cnf(c_0_1814_1,axiom,
    ( hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X1) != hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1814]) ).

cnf(c_0_1815_0,axiom,
    ( hBOOL(hAPP(X2,hAPP(X1,X5)))
    | ~ hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1815]) ).

cnf(c_0_1815_1,axiom,
    ( ~ hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))
    | hBOOL(hAPP(X2,hAPP(X1,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_1815]) ).

cnf(c_0_1816_0,axiom,
    ( c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1816]) ).

cnf(c_0_1816_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1816]) ).

cnf(c_0_1816_2,axiom,
    ( ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1816]) ).

cnf(c_0_1817_0,axiom,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X1),X2),X4,X5)
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1817]) ).

cnf(c_0_1817_1,axiom,
    ( ~ c_Fun_Oinj__on(X3,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X1),X2),X4,X5)
    | X1 = X2
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1817]) ).

cnf(c_0_1817_2,axiom,
    ( c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5)
    | ~ c_Fun_Oinj__on(X3,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X1),X2),X4,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1817]) ).

cnf(c_0_1818_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),X5),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X6,X1,tc_fun(X4,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X5),hAPP(X6,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1818]) ).

cnf(c_0_1818_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),X5),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X6,X1,tc_fun(X4,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X5),hAPP(X6,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1818]) ).

cnf(c_0_1818_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X4),X5),hAPP(X6,X2)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),X5),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X6,X1,tc_fun(X4,tc_bool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1818]) ).

cnf(c_0_1819_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),X5),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X6,X1,tc_fun(X4,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X5),hAPP(X6,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1819]) ).

cnf(c_0_1819_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),X5),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X6,X1,tc_fun(X4,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X5),hAPP(X6,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1819]) ).

cnf(c_0_1819_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X4),X5),hAPP(X6,X2)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),X5),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X6,X1,tc_fun(X4,tc_bool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1819]) ).

cnf(c_0_1820_0,axiom,
    ( c_Set_Oimage(X3,X1,X2,X2) = X1
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(c_Set_Oimage(X3,X1,X2,X2),X1,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X3,X1,X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1820]) ).

cnf(c_0_1820_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Set_Oimage(X3,X1,X2,X2) = X1
    | ~ c_lessequals(c_Set_Oimage(X3,X1,X2,X2),X1,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X3,X1,X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1820]) ).

cnf(c_0_1820_2,axiom,
    ( ~ c_lessequals(c_Set_Oimage(X3,X1,X2,X2),X1,tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Set_Oimage(X3,X1,X2,X2) = X1
    | ~ c_Fun_Oinj__on(X3,X1,X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1820]) ).

cnf(c_0_1820_3,axiom,
    ( ~ c_Fun_Oinj__on(X3,X1,X2,X2)
    | ~ c_lessequals(c_Set_Oimage(X3,X1,X2,X2),X1,tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Set_Oimage(X3,X1,X2,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1820]) ).

cnf(c_0_1821_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1821]) ).

cnf(c_0_1821_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1821]) ).

cnf(c_0_1821_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1821]) ).

cnf(c_0_1821_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1821]) ).

cnf(c_0_1822_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X2,X3,X1),tc_fun(X1,tc_bool))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1822]) ).

cnf(c_0_1822_1,axiom,
    ( c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X2,X3,X1),tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1822]) ).

cnf(c_0_1822_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool))
    | c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X2,X3,X1),tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1822]) ).

cnf(c_0_1822_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool))
    | c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X2,X3,X1),tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1822]) ).

cnf(c_0_1823_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1823]) ).

cnf(c_0_1823_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1823]) ).

cnf(c_0_1823_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1823]) ).

cnf(c_0_1823_3,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1823]) ).

cnf(c_0_1824_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X2,X3,X1),tc_fun(X1,tc_bool))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1824]) ).

cnf(c_0_1824_1,axiom,
    ( c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X2,X3,X1),tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1824]) ).

cnf(c_0_1824_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool))
    | c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X2,X3,X1),tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1824]) ).

cnf(c_0_1824_3,axiom,
    ( ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool))
    | c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X2,X3,X1),tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1824]) ).

cnf(c_0_1825_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1825]) ).

cnf(c_0_1825_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1825]) ).

cnf(c_0_1826_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1826]) ).

cnf(c_0_1826_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1826]) ).

cnf(c_0_1827_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1827]) ).

cnf(c_0_1827_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1827]) ).

cnf(c_0_1828_0,axiom,
    ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X6,tc_bool)),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(X4,X2),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1828]) ).

cnf(c_0_1828_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X6,tc_bool)),X5))
    | ~ hBOOL(hAPP(hAPP(X4,X2),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1828]) ).

cnf(c_0_1828_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(X4,X2),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X6,tc_bool)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1828]) ).

cnf(c_0_1829_0,axiom,
    ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X6,tc_bool)),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(X4,X2),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1829]) ).

cnf(c_0_1829_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X6,tc_bool)),X5))
    | ~ hBOOL(hAPP(hAPP(X4,X2),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1829]) ).

cnf(c_0_1829_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(X4,X2),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X6,tc_bool)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1829]) ).

cnf(c_0_1830_0,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1830]) ).

cnf(c_0_1830_1,axiom,
    ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1830]) ).

cnf(c_0_1830_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1830]) ).

cnf(c_0_1831_0,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1831]) ).

cnf(c_0_1831_1,axiom,
    ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1831]) ).

cnf(c_0_1831_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1831]) ).

cnf(c_0_1832_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1832]) ).

cnf(c_0_1832_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1832]) ).

cnf(c_0_1833_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1833]) ).

cnf(c_0_1833_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1833]) ).

cnf(c_0_1834_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1834]) ).

cnf(c_0_1834_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1834]) ).

cnf(c_0_1835_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1835]) ).

cnf(c_0_1835_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1835]) ).

cnf(c_0_1836_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Collect(X4,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1836]) ).

cnf(c_0_1836_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Collect(X4,X1))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1836]) ).

cnf(c_0_1837_0,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1837]) ).

cnf(c_0_1837_1,axiom,
    ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1837]) ).

cnf(c_0_1837_2,axiom,
    ( ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1837]) ).

cnf(c_0_1838_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),c_Complete__Lattice_OSup__class_OSup(X1,X2)) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),X3,X1,X2,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1838]) ).

cnf(c_0_1838_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),c_Complete__Lattice_OSup__class_OSup(X1,X2)) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),X3,X1,X2,X2)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1838]) ).

cnf(c_0_1838_2,axiom,
    ( ~ class_Complete__Lattice_Ocomplete__lattice(X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),c_Complete__Lattice_OSup__class_OSup(X1,X2)) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),X3,X1,X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1838]) ).

cnf(c_0_1839_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1839]) ).

cnf(c_0_1839_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1839]) ).

cnf(c_0_1839_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1839]) ).

cnf(c_0_1840_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X1,X6)),X5))
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1840]) ).

cnf(c_0_1840_1,axiom,
    ( ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X4),hAPP(X1,X6)),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1840]) ).

cnf(c_0_1840_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2))
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X4),hAPP(X1,X6)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1840]) ).

cnf(c_0_1841_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4)),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1841]) ).

cnf(c_0_1841_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4)),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1841]) ).

cnf(c_0_1842_0,axiom,
    ( c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),c_Orderings_Obot__class_Obot(X2),X1,X2,X2) = c_Complete__Lattice_OSup__class_OSup(X1,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1842]) ).

cnf(c_0_1842_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),c_Orderings_Obot__class_Obot(X2),X1,X2,X2) = c_Complete__Lattice_OSup__class_OSup(X1,X2)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1842]) ).

cnf(c_0_1842_2,axiom,
    ( ~ class_Complete__Lattice_Ocomplete__lattice(X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X2),c_Orderings_Obot__class_Obot(X2),X1,X2,X2) = c_Complete__Lattice_OSup__class_OSup(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1842]) ).

cnf(c_0_1843_0,axiom,
    ( hBOOL(hAPP(X4,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Collect(X4,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1843]) ).

cnf(c_0_1843_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Collect(X4,X1))))
    | hBOOL(hAPP(X4,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1843]) ).

cnf(c_0_1844_0,axiom,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1844]) ).

cnf(c_0_1844_1,axiom,
    ( ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | X1 = X2
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1844]) ).

cnf(c_0_1844_2,axiom,
    ( c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5)
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1844]) ).

cnf(c_0_1845_0,axiom,
    ( c_lessequals(hAPP(X2,X6),X5,tc_fun(X4,tc_bool))
    | ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1845]) ).

cnf(c_0_1845_1,axiom,
    ( ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5,tc_fun(X4,tc_bool))
    | c_lessequals(hAPP(X2,X6),X5,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1845]) ).

cnf(c_0_1845_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X1))
    | ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5,tc_fun(X4,tc_bool))
    | c_lessequals(hAPP(X2,X6),X5,tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1845]) ).

cnf(c_0_1846_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
    | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1846]) ).

cnf(c_0_1846_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
    | ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1846]) ).

cnf(c_0_1846_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1846]) ).

cnf(c_0_1846_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1846]) ).

cnf(c_0_1847_0,axiom,
    ( c_Set_Ovimage(X1,c_Set_Oimage(X1,X4,X2,X3),X2,X3) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1847]) ).

cnf(c_0_1847_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_Set_Ovimage(X1,c_Set_Oimage(X1,X4,X2,X3),X2,X3) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_1847]) ).

cnf(c_0_1848_0,axiom,
    ( c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1848]) ).

cnf(c_0_1848_1,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
    | c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1848]) ).

cnf(c_0_1848_2,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
    | c_Finite__Set_Ofinite(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1848]) ).

cnf(c_0_1849_0,axiom,
    ( c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1849]) ).

cnf(c_0_1849_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1849]) ).

cnf(c_0_1850_0,axiom,
    ( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1850]) ).

cnf(c_0_1850_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1850]) ).

cnf(c_0_1851_0,axiom,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1851]) ).

cnf(c_0_1851_1,axiom,
    ( ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
    | c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1851]) ).

cnf(c_0_1852_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),hAPP(X5,X2)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X5,X1,tc_fun(X4,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X5,X1,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1852]) ).

cnf(c_0_1852_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),hAPP(X5,X2)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X5,X1,tc_fun(X4,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X5,X1,tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1852]) ).

cnf(c_0_1853_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1853]) ).

cnf(c_0_1853_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1853]) ).

cnf(c_0_1854_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1854]) ).

cnf(c_0_1854_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1854]) ).

cnf(c_0_1855_0,axiom,
    ( c_Fun_Oinj__on(X3,X1,X2,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X1,c_Set_Oimage(X3,X1,X2,X2),tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1855]) ).

cnf(c_0_1855_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Fun_Oinj__on(X3,X1,X2,X2)
    | ~ c_lessequals(X1,c_Set_Oimage(X3,X1,X2,X2),tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1855]) ).

cnf(c_0_1855_2,axiom,
    ( ~ c_lessequals(X1,c_Set_Oimage(X3,X1,X2,X2),tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Fun_Oinj__on(X3,X1,X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1855]) ).

cnf(c_0_1856_0,axiom,
    ( hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3))
    | ~ hBOOL(hAPP(X1,hAPP(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1856]) ).

cnf(c_0_1856_1,axiom,
    ( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
    | hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1856]) ).

cnf(c_0_1857_0,axiom,
    ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
    | hAPP(X2,c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1(X1,X2,X3,X4)) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1857]) ).

cnf(c_0_1857_1,axiom,
    ( hAPP(X2,c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1(X1,X2,X3,X4)) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
    | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1857]) ).

cnf(c_0_1858_0,axiom,
    ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | hAPP(X3,c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1(X2,X3,X4,X1)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1858]) ).

cnf(c_0_1858_1,axiom,
    ( hAPP(X3,c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1(X2,X3,X4,X1)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1858]) ).

cnf(c_0_1859_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1859]) ).

cnf(c_0_1859_1,axiom,
    ( ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1859]) ).

cnf(c_0_1859_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1859]) ).

cnf(c_0_1860_0,axiom,
    ( c_Finite__Set_Ofinite(hAPP(X3,X5),X4)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X3,X2,tc_fun(X4,tc_bool)),X4)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X5),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1860]) ).

cnf(c_0_1860_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(hAPP(X3,X5),X4)
    | ~ c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X3,X2,tc_fun(X4,tc_bool)),X4)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X5),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1860]) ).

cnf(c_0_1860_2,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X3,X2,tc_fun(X4,tc_bool)),X4)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(hAPP(X3,X5),X4)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X5),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1860]) ).

cnf(c_0_1860_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X2),X5),X1))
    | ~ c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X3,X2,tc_fun(X4,tc_bool)),X4)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(hAPP(X3,X5),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1860]) ).

cnf(c_0_1861_0,axiom,
    ( c_Fun_Oinj__on(X1,X4,X2,X5)
    | ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1861]) ).

cnf(c_0_1861_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5)
    | c_Fun_Oinj__on(X1,X4,X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1861]) ).

cnf(c_0_1862_0,axiom,
    ( c_Fun_Oinj__on(X1,X3,X2,X5)
    | ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1862]) ).

cnf(c_0_1862_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5)
    | c_Fun_Oinj__on(X1,X3,X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1862]) ).

cnf(c_0_1863_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)),X1)
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1863]) ).

cnf(c_0_1863_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1863]) ).

cnf(c_0_1864_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),X1)
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1864]) ).

cnf(c_0_1864_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1864]) ).

cnf(c_0_1865_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1865]) ).

cnf(c_0_1865_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1865]) ).

cnf(c_0_1865_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1865]) ).

cnf(c_0_1866_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1866]) ).

cnf(c_0_1866_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1866]) ).

cnf(c_0_1866_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1866]) ).

cnf(c_0_1867_0,axiom,
    ( hBOOL(hAPP(X2,X4))
    | hBOOL(hAPP(X3,X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1867]) ).

cnf(c_0_1867_1,axiom,
    ( hBOOL(hAPP(X3,X4))
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1867]) ).

cnf(c_0_1867_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))
    | hBOOL(hAPP(X3,X4))
    | hBOOL(hAPP(X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1867]) ).

cnf(c_0_1868_0,axiom,
    ( c_Finite__Set_Ofinite(c_Set_Ovimage(X3,X1,X4,X2),X4)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1868]) ).

cnf(c_0_1868_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_Set_Ovimage(X3,X1,X4,X2),X4)
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1868]) ).

cnf(c_0_1868_2,axiom,
    ( ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_Set_Ovimage(X3,X1,X4,X2),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1868]) ).

cnf(c_0_1869_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Collect(X4,X1))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(X4,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1869]) ).

cnf(c_0_1869_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Collect(X4,X1))))
    | ~ hBOOL(hAPP(X4,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1869]) ).

cnf(c_0_1869_2,axiom,
    ( ~ hBOOL(hAPP(X4,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Collect(X4,X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1869]) ).

cnf(c_0_1870_0,axiom,
    ( c_Set_Oinsert(hAPP(X4,X2),c_Set_Oimage(X4,X3,X1,X5),X5) = c_Set_Oimage(X4,X3,X1,X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1870]) ).

cnf(c_0_1870_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Set_Oinsert(hAPP(X4,X2),c_Set_Oimage(X4,X3,X1,X5),X5) = c_Set_Oimage(X4,X3,X1,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1870]) ).

cnf(c_0_1871_0,axiom,
    ( hBOOL(hAPP(X3,X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1871]) ).

cnf(c_0_1871_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4))
    | hBOOL(hAPP(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1871]) ).

cnf(c_0_1872_0,axiom,
    ( hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1872]) ).

cnf(c_0_1872_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4))
    | hBOOL(hAPP(X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1872]) ).

cnf(c_0_1873_0,axiom,
    ( c_Finite__Set_Ofinite(X3,X5)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X3,c_Set_Oimage(X4,X1,X2,X5),tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1873]) ).

cnf(c_0_1873_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(X3,X5)
    | ~ c_lessequals(X3,c_Set_Oimage(X4,X1,X2,X5),tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1873]) ).

cnf(c_0_1873_2,axiom,
    ( ~ c_lessequals(X3,c_Set_Oimage(X4,X1,X2,X5),tc_fun(X5,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1873]) ).

cnf(c_0_1874_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1874]) ).

cnf(c_0_1874_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1874]) ).

cnf(c_0_1874_2,axiom,
    ( ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1874]) ).

cnf(c_0_1875_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X4),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X5),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1875]) ).

cnf(c_0_1875_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X4),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X5),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1875]) ).

cnf(c_0_1875_2,axiom,
    ( ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X4),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X5),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1875]) ).

cnf(c_0_1876_0,axiom,
    ( c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X3),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X4,X1)),X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1876]) ).

cnf(c_0_1876_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X3),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X4,X1)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1876]) ).

cnf(c_0_1877_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1877]) ).

cnf(c_0_1877_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1877]) ).

cnf(c_0_1878_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X3)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1878]) ).

cnf(c_0_1878_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1878]) ).

cnf(c_0_1879_0,axiom,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1879]) ).

cnf(c_0_1879_1,axiom,
    ( X1 = X3
    | X1 = X2
    | c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1879]) ).

cnf(c_0_1879_2,axiom,
    ( c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)
    | X1 = X3
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1879]) ).

cnf(c_0_1880_0,axiom,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1880]) ).

cnf(c_0_1880_1,axiom,
    ( X3 = X2
    | X1 = X2
    | c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1880]) ).

cnf(c_0_1880_2,axiom,
    ( c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)
    | X3 = X2
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1880]) ).

cnf(c_0_1881_0,axiom,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1881]) ).

cnf(c_0_1881_1,axiom,
    ( X3 = X2
    | X1 = X2
    | c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1881]) ).

cnf(c_0_1881_2,axiom,
    ( c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)
    | X3 = X2
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1881]) ).

cnf(c_0_1882_0,axiom,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1882]) ).

cnf(c_0_1882_1,axiom,
    ( X1 = X3
    | X1 = X2
    | c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1882]) ).

cnf(c_0_1882_2,axiom,
    ( c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)
    | X1 = X3
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1882]) ).

cnf(c_0_1883_0,axiom,
    ( X2 = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1883]) ).

cnf(c_0_1883_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)))
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1883]) ).

cnf(c_0_1884_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1884]) ).

cnf(c_0_1884_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1884]) ).

cnf(c_0_1885_0,axiom,
    ( c_lessequals(hAPP(X4,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1885]) ).

cnf(c_0_1885_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(hAPP(X4,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1885]) ).

cnf(c_0_1886_0,axiom,
    ( c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1886]) ).

cnf(c_0_1886_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
    | c_Fun_Oinj__on(X1,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1886]) ).

cnf(c_0_1887_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X4,tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1887]) ).

cnf(c_0_1887_1,axiom,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X4,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1887]) ).

cnf(c_0_1888_0,axiom,
    ( c_Set_Oinsert(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X1) = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1888]) ).

cnf(c_0_1888_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Set_Oinsert(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X1) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1888]) ).

cnf(c_0_1889_0,axiom,
    ( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1889]) ).

cnf(c_0_1889_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1889]) ).

cnf(c_0_1890_0,axiom,
    ( X5 = X6
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2))
    | hAPP(X1,X5) != hAPP(X1,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1890]) ).

cnf(c_0_1890_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | X5 = X6
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2))
    | hAPP(X1,X5) != hAPP(X1,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1890]) ).

cnf(c_0_1890_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X2))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | X5 = X6
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2))
    | hAPP(X1,X5) != hAPP(X1,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1890]) ).

cnf(c_0_1890_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X2))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | X5 = X6
    | hAPP(X1,X5) != hAPP(X1,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1890]) ).

cnf(c_0_1890_4,axiom,
    ( hAPP(X1,X5) != hAPP(X1,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X2))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | X5 = X6 ),
    inference(literals_permutation,[status(thm)],[c_0_1890]) ).

cnf(c_0_1891_0,axiom,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1891]) ).

cnf(c_0_1891_1,axiom,
    ( ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1891]) ).

cnf(c_0_1891_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1891]) ).

cnf(c_0_1891_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1891]) ).

cnf(c_0_1891_4,axiom,
    ( hAPP(X3,X1) != hAPP(X3,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1891]) ).

cnf(c_0_1892_0,axiom,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1892]) ).

cnf(c_0_1892_1,axiom,
    ( ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1892]) ).

cnf(c_0_1892_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1892]) ).

cnf(c_0_1892_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1892]) ).

cnf(c_0_1892_4,axiom,
    ( hAPP(X3,X1) != hAPP(X3,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1892]) ).

cnf(c_0_1893_0,axiom,
    ( X2 = X4
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3))
    | ~ c_Fun_Oinj__on(X5,X3,X1,X6)
    | hAPP(X5,X2) != hAPP(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1893]) ).

cnf(c_0_1893_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | X2 = X4
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3))
    | ~ c_Fun_Oinj__on(X5,X3,X1,X6)
    | hAPP(X5,X2) != hAPP(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1893]) ).

cnf(c_0_1893_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | X2 = X4
    | ~ c_Fun_Oinj__on(X5,X3,X1,X6)
    | hAPP(X5,X2) != hAPP(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1893]) ).

cnf(c_0_1893_3,axiom,
    ( ~ c_Fun_Oinj__on(X5,X3,X1,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | X2 = X4
    | hAPP(X5,X2) != hAPP(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1893]) ).

cnf(c_0_1893_4,axiom,
    ( hAPP(X5,X2) != hAPP(X5,X4)
    | ~ c_Fun_Oinj__on(X5,X3,X1,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | X2 = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_1893]) ).

cnf(c_0_1894_0,axiom,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1894]) ).

cnf(c_0_1894_1,axiom,
    ( ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4)
    | c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1894]) ).

cnf(c_0_1895_0,axiom,
    ( c_Fun_Oinj__on(X1,X5,X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1895]) ).

cnf(c_0_1895_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Fun_Oinj__on(X1,X5,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1895]) ).

cnf(c_0_1895_2,axiom,
    ( ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Fun_Oinj__on(X1,X5,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1895]) ).

cnf(c_0_1896_0,axiom,
    ( c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Set_Oinsert(X2,X4,X1))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1896]) ).

cnf(c_0_1896_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Set_Oinsert(X2,X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1896]) ).

cnf(c_0_1897_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1897]) ).

cnf(c_0_1897_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1897]) ).

cnf(c_0_1898_0,axiom,
    ( c_lessequals(hAPP(X4,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,X5),X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1898]) ).

cnf(c_0_1898_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(hAPP(X4,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,X5),X5)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1898]) ).

cnf(c_0_1898_2,axiom,
    ( ~ class_Complete__Lattice_Ocomplete__lattice(X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(hAPP(X4,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1898]) ).

cnf(c_0_1899_0,axiom,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1899]) ).

cnf(c_0_1899_1,axiom,
    ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1899]) ).

cnf(c_0_1900_0,axiom,
    ( X2 = X4
    | ~ c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1900]) ).

cnf(c_0_1900_1,axiom,
    ( ~ c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X4,X3)
    | X2 = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_1900]) ).

cnf(c_0_1901_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__2(X2,X3,X1)),X3))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1901]) ).

cnf(c_0_1901_1,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__2(X2,X3,X1)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1901]) ).

cnf(c_0_1902_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__1(X2,X3,X1)),X2))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1902]) ).

cnf(c_0_1902_1,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__1(X2,X3,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1902]) ).

cnf(c_0_1903_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X1),X3),X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1903]) ).

cnf(c_0_1903_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X1),X3),X2))
    | ~ hBOOL(hAPP(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1903]) ).

cnf(c_0_1903_2,axiom,
    ( ~ hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X1),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1903]) ).

cnf(c_0_1904_0,axiom,
    ( hAPP(c_Map_Orestrict__map(X4,X3,X1,X5),X2) = hAPP(X4,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1904]) ).

cnf(c_0_1904_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hAPP(c_Map_Orestrict__map(X4,X3,X1,X5),X2) = hAPP(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1904]) ).

cnf(c_0_1905_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1905]) ).

cnf(c_0_1905_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1905]) ).

cnf(c_0_1905_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1905]) ).

cnf(c_0_1906_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1906]) ).

cnf(c_0_1906_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1906]) ).

cnf(c_0_1906_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1906]) ).

cnf(c_0_1907_0,axiom,
    ( hAPP(X4,X2) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1907]) ).

cnf(c_0_1907_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hAPP(X4,X2) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1907]) ).

cnf(c_0_1907_2,axiom,
    ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hAPP(X4,X2) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1907]) ).

cnf(c_0_1908_0,axiom,
    ( hAPP(X4,X2) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1908]) ).

cnf(c_0_1908_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hAPP(X4,X2) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1908]) ).

cnf(c_0_1908_2,axiom,
    ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hAPP(X4,X2) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1908]) ).

cnf(c_0_1909_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1909]) ).

cnf(c_0_1909_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1909]) ).

cnf(c_0_1910_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1910]) ).

cnf(c_0_1910_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1910]) ).

cnf(c_0_1911_0,axiom,
    ( c_lessequals(X1,X4,tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1911]) ).

cnf(c_0_1911_1,axiom,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
    | c_lessequals(X1,X4,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1911]) ).

cnf(c_0_1912_0,axiom,
    ( c_lessequals(X1,X3,tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1912]) ).

cnf(c_0_1912_1,axiom,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
    | c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1912]) ).

cnf(c_0_1913_0,axiom,
    ( c_lessequals(X2,X4,tc_fun(X1,tc_bool))
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1913]) ).

cnf(c_0_1913_1,axiom,
    ( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
    | c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1913]) ).

cnf(c_0_1914_0,axiom,
    ( c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1914]) ).

cnf(c_0_1914_1,axiom,
    ( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
    | c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1914]) ).

cnf(c_0_1915_0,axiom,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1915]) ).

cnf(c_0_1915_1,axiom,
    ( ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
    | c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1915]) ).

cnf(c_0_1916_0,axiom,
    ( c_Set_Oimage(c_COMBK(X4,X5,X1),X3,X1,X5) = c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1916]) ).

cnf(c_0_1916_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Set_Oimage(c_COMBK(X4,X5,X1),X3,X1,X5) = c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1916]) ).

cnf(c_0_1917_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X5,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1917]) ).

cnf(c_0_1917_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X5,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1917]) ).

cnf(c_0_1917_2,axiom,
    ( ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X5,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1917]) ).

cnf(c_0_1918_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4)
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1918]) ).

cnf(c_0_1918_1,axiom,
    ( ~ class_Lattices_Odistrib__lattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1918]) ).

cnf(c_0_1919_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4)
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1919]) ).

cnf(c_0_1919_1,axiom,
    ( ~ class_Lattices_Odistrib__lattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1919]) ).

cnf(c_0_1920_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hAPP(c_Map_Orestrict__map(X4,X3,X1,X5),X2) = c_Option_Ooption_ONone(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1920]) ).

cnf(c_0_1920_1,axiom,
    ( hAPP(c_Map_Orestrict__map(X4,X3,X1,X5),X2) = c_Option_Ooption_ONone(X5)
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1920]) ).

cnf(c_0_1921_0,axiom,
    ( X2 = X3
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1921]) ).

cnf(c_0_1921_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | X2 = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1921]) ).

cnf(c_0_1921_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1)))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1921]) ).

cnf(c_0_1922_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X4,X1)),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1922]) ).

cnf(c_0_1922_1,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X4,X1)),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X3)
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1922]) ).

cnf(c_0_1923_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1923]) ).

cnf(c_0_1923_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1923]) ).

cnf(c_0_1923_2,axiom,
    ( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1923]) ).

cnf(c_0_1924_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1924]) ).

cnf(c_0_1924_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1924]) ).

cnf(c_0_1924_2,axiom,
    ( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1924]) ).

cnf(c_0_1925_0,axiom,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1925]) ).

cnf(c_0_1925_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1925]) ).

cnf(c_0_1925_2,axiom,
    ( ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1925]) ).

cnf(c_0_1926_0,axiom,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1926]) ).

cnf(c_0_1926_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1926]) ).

cnf(c_0_1926_2,axiom,
    ( ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1926]) ).

cnf(c_0_1927_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1927]) ).

cnf(c_0_1927_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1927]) ).

cnf(c_0_1927_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1927]) ).

cnf(c_0_1928_0,axiom,
    ( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X2)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1928]) ).

cnf(c_0_1928_1,axiom,
    ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
    | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1928]) ).

cnf(c_0_1929_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1929]) ).

cnf(c_0_1929_1,axiom,
    ( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1929]) ).

cnf(c_0_1929_2,axiom,
    ( ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool))
    | X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1929]) ).

cnf(c_0_1930_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1930]) ).

cnf(c_0_1930_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1930]) ).

cnf(c_0_1930_2,axiom,
    ( c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
    | ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1930]) ).

cnf(c_0_1930_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1930]) ).

cnf(c_0_1931_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X1,X3)),X1))
    | c_Hoare__Mirabelle_Otriple__valid(X3,X4,t_a)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1931]) ).

cnf(c_0_1931_1,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(X3,X4,t_a)
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X1,X3)),X1))
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1931]) ).

cnf(c_0_1931_2,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)
    | c_Hoare__Mirabelle_Otriple__valid(X3,X4,t_a)
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X1,X3)),X1))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1931]) ).

cnf(c_0_1931_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X4),X2))
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)
    | c_Hoare__Mirabelle_Otriple__valid(X3,X4,t_a)
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X1,X3)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1931]) ).

cnf(c_0_1932_0,axiom,
    ( c_Set_Ovimage(c_COMBK(X2,X1,X4),X3,X4,X1) = c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1932]) ).

cnf(c_0_1932_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Set_Ovimage(c_COMBK(X2,X1,X4),X3,X4,X1) = c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1932]) ).

cnf(c_0_1933_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1933]) ).

cnf(c_0_1933_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1933]) ).

cnf(c_0_1933_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1933]) ).

cnf(c_0_1933_3,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1933]) ).

cnf(c_0_1934_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1934]) ).

cnf(c_0_1934_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1934]) ).

cnf(c_0_1934_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
    | ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1934]) ).

cnf(c_0_1935_0,axiom,
    ( c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1935]) ).

cnf(c_0_1935_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1935]) ).

cnf(c_0_1936_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1936]) ).

cnf(c_0_1936_1,axiom,
    ( ~ class_Lattices_Odistrib__lattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1936]) ).

cnf(c_0_1937_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1937]) ).

cnf(c_0_1937_1,axiom,
    ( ~ class_Lattices_Odistrib__lattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1937]) ).

cnf(c_0_1938_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X2,X3,X1),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1938]) ).

cnf(c_0_1938_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X2,X3,X1),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1938]) ).

cnf(c_0_1938_2,axiom,
    ( c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X2,X3,X1),tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1938]) ).

cnf(c_0_1938_3,axiom,
    ( ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool))
    | c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X2,X3,X1),tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1938]) ).

cnf(c_0_1939_0,axiom,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1939]) ).

cnf(c_0_1939_1,axiom,
    ( ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | X1 = X2
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1939]) ).

cnf(c_0_1939_2,axiom,
    ( hAPP(X3,X1) != hAPP(X3,X2)
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1939]) ).

cnf(c_0_1940_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X3,X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1940]) ).

cnf(c_0_1940_1,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X3,X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)) = X3
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1940]) ).

cnf(c_0_1941_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Set_Oinsert(X2,X4,X1)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1941]) ).

cnf(c_0_1941_1,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),c_Set_Oinsert(X2,X4,X1)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1941]) ).

cnf(c_0_1942_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) = c_Set_Oinsert(X2,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1942]) ).

cnf(c_0_1942_1,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) = c_Set_Oinsert(X2,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)),X1)
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1942]) ).

cnf(c_0_1943_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X2)),X2))
    | c_Hoare__Mirabelle_Otriple__valid(X1,X3,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1943]) ).

cnf(c_0_1943_1,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X3,t_a)
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X2)),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1943]) ).

cnf(c_0_1943_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X3),X2))
    | c_Hoare__Mirabelle_Otriple__valid(X1,X3,t_a)
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X2)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1943]) ).

cnf(c_0_1944_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(c_COMBK(X3,X4,X2),X1,X2,X4) = c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1944]) ).

cnf(c_0_1944_1,axiom,
    ( c_Set_Oimage(c_COMBK(X3,X4,X2),X1,X2,X4) = c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1944]) ).

cnf(c_0_1945_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1945]) ).

cnf(c_0_1945_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1945]) ).

cnf(c_0_1946_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1946]) ).

cnf(c_0_1946_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1946]) ).

cnf(c_0_1947_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Set_Ovimage(c_COMBK(X2,X1,X4),X3,X4,X1) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1947]) ).

cnf(c_0_1947_1,axiom,
    ( c_Set_Ovimage(c_COMBK(X2,X1,X4),X3,X4,X1) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1947]) ).

cnf(c_0_1948_0,axiom,
    ( c_Finite__Set_Ofinite(X2,X1)
    | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1948]) ).

cnf(c_0_1948_1,axiom,
    ( ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1)
    | c_Finite__Set_Ofinite(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1948]) ).

cnf(c_0_1949_0,axiom,
    ( c_Finite__Set_Ofinite(X3,X1)
    | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1949]) ).

cnf(c_0_1949_1,axiom,
    ( ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1)
    | c_Finite__Set_Ofinite(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1949]) ).

cnf(c_0_1950_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1950]) ).

cnf(c_0_1950_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1950]) ).

cnf(c_0_1950_2,axiom,
    ( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1950]) ).

cnf(c_0_1951_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1951]) ).

cnf(c_0_1951_1,axiom,
    ( c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1951]) ).

cnf(c_0_1951_2,axiom,
    ( ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1951]) ).

cnf(c_0_1952_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1952]) ).

cnf(c_0_1952_1,axiom,
    ( c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1952]) ).

cnf(c_0_1952_2,axiom,
    ( ~ c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1952]) ).

cnf(c_0_1953_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1953]) ).

cnf(c_0_1953_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1953]) ).

cnf(c_0_1953_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1953]) ).

cnf(c_0_1954_0,axiom,
    ( c_lessequals(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1954]) ).

cnf(c_0_1954_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1954]) ).

cnf(c_0_1954_2,axiom,
    ( ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1954]) ).

cnf(c_0_1955_0,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(X3,X4,t_a)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)
    | ~ c_Hoare__Mirabelle_Otriple__valid(X3,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X1,X3),t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1955]) ).

cnf(c_0_1955_1,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)
    | c_Hoare__Mirabelle_Otriple__valid(X3,X4,t_a)
    | ~ c_Hoare__Mirabelle_Otriple__valid(X3,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X1,X3),t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1955]) ).

cnf(c_0_1955_2,axiom,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(X3,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X1,X3),t_a)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)
    | c_Hoare__Mirabelle_Otriple__valid(X3,X4,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1955]) ).

cnf(c_0_1955_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X4),X2))
    | ~ c_Hoare__Mirabelle_Otriple__valid(X3,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X1,X3),t_a)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)
    | c_Hoare__Mirabelle_Otriple__valid(X3,X4,t_a) ),
    inference(literals_permutation,[status(thm)],[c_0_1955]) ).

cnf(c_0_1956_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(X3,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1956]) ).

cnf(c_0_1956_1,axiom,
    ( c_Set_Oimage(X3,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1956]) ).

cnf(c_0_1957_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(X4,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1957]) ).

cnf(c_0_1957_1,axiom,
    ( c_Set_Oimage(X4,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1957]) ).

cnf(c_0_1958_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X2),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(X1,X2)),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1958]) ).

cnf(c_0_1958_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X2),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(X1,X2)),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(X1,X2)))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1958]) ).

cnf(c_0_1959_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1959]) ).

cnf(c_0_1959_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1959]) ).

cnf(c_0_1960_0,axiom,
    ( hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,X1)),X2),X3),v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(X2,v_x)),hAPP(X3,v_x))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1960]) ).

cnf(c_0_1960_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,X1)),X2),X3),v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(X2,v_x)),hAPP(X3,v_x)) ),
    inference(literals_permutation,[status(thm)],[c_0_1960]) ).

cnf(c_0_1961_0,axiom,
    ( hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,X1)),X2),X3),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(X2,v_x)),hAPP(X3,v_x))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1961]) ).

cnf(c_0_1961_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,X1)),X2),X3),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(X2,v_x)),hAPP(X3,v_x)) ),
    inference(literals_permutation,[status(thm)],[c_0_1961]) ).

cnf(c_0_1962_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool))) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1962]) ).

cnf(c_0_1962_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool))) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1962]) ).

cnf(c_0_1963_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1963]) ).

cnf(c_0_1963_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1963]) ).

cnf(c_0_1964_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1964]) ).

cnf(c_0_1964_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1964]) ).

cnf(c_0_1965_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1965]) ).

cnf(c_0_1965_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1965]) ).

cnf(c_0_1966_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
    | ~ class_Lattices_Olower__semilattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1966]) ).

cnf(c_0_1966_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1966]) ).

cnf(c_0_1967_0,axiom,
    ( X1 = X4
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1967]) ).

cnf(c_0_1967_1,axiom,
    ( hBOOL(hAPP(X2,X4))
    | X1 = X4
    | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1967]) ).

cnf(c_0_1967_2,axiom,
    ( ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
    | hBOOL(hAPP(X2,X4))
    | X1 = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_1967]) ).

cnf(c_0_1968_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1968]) ).

cnf(c_0_1968_1,axiom,
    ( c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1968]) ).

cnf(c_0_1968_2,axiom,
    ( ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1968]) ).

cnf(c_0_1969_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1969]) ).

cnf(c_0_1969_1,axiom,
    ( c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1969]) ).

cnf(c_0_1969_2,axiom,
    ( ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1969]) ).

cnf(c_0_1970_0,axiom,
    ( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1970]) ).

cnf(c_0_1970_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1970]) ).

cnf(c_0_1971_0,axiom,
    ( c_Finite__Set_Ofinite(X3,t_a)
    | ~ c_Wellfounded_Omax__extp(X1,X2,X3,t_a) ),
    inference(literals_permutation,[status(thm)],[c_0_1971]) ).

cnf(c_0_1971_1,axiom,
    ( ~ c_Wellfounded_Omax__extp(X1,X2,X3,t_a)
    | c_Finite__Set_Ofinite(X3,t_a) ),
    inference(literals_permutation,[status(thm)],[c_0_1971]) ).

cnf(c_0_1972_0,axiom,
    ( c_Finite__Set_Ofinite(X2,t_a)
    | ~ c_Wellfounded_Omax__extp(X1,X2,X3,t_a) ),
    inference(literals_permutation,[status(thm)],[c_0_1972]) ).

cnf(c_0_1972_1,axiom,
    ( ~ c_Wellfounded_Omax__extp(X1,X2,X3,t_a)
    | c_Finite__Set_Ofinite(X2,t_a) ),
    inference(literals_permutation,[status(thm)],[c_0_1972]) ).

cnf(c_0_1973_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1973]) ).

cnf(c_0_1973_1,axiom,
    ( ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1973]) ).

cnf(c_0_1974_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1974]) ).

cnf(c_0_1974_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1974]) ).

cnf(c_0_1974_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1974]) ).

cnf(c_0_1975_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1975]) ).

cnf(c_0_1975_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1975]) ).

cnf(c_0_1975_2,axiom,
    ( ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1975]) ).

cnf(c_0_1976_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1976]) ).

cnf(c_0_1976_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1976]) ).

cnf(c_0_1976_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1976]) ).

cnf(c_0_1977_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1977]) ).

cnf(c_0_1977_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1977]) ).

cnf(c_0_1977_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1977]) ).

cnf(c_0_1978_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1978]) ).

cnf(c_0_1978_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1978]) ).

cnf(c_0_1978_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1978]) ).

cnf(c_0_1979_0,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X3,t_a)
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X2),t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1979]) ).

cnf(c_0_1979_1,axiom,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X2),t_a)
    | c_Hoare__Mirabelle_Otriple__valid(X1,X3,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1979]) ).

cnf(c_0_1979_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X3),X2))
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X2),t_a)
    | c_Hoare__Mirabelle_Otriple__valid(X1,X3,t_a) ),
    inference(literals_permutation,[status(thm)],[c_0_1979]) ).

cnf(c_0_1980_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,c_COMBK(X3,X4,X2),X2,X4) = X3
    | ~ class_Complete__Lattice_Ocomplete__lattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1980]) ).

cnf(c_0_1980_1,axiom,
    ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,c_COMBK(X3,X4,X2),X2,X4) = X3
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1980]) ).

cnf(c_0_1980_2,axiom,
    ( ~ class_Complete__Lattice_Ocomplete__lattice(X4)
    | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,c_COMBK(X3,X4,X2),X2,X4) = X3
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1980]) ).

cnf(c_0_1981_0,axiom,
    ( X1 = X2
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | c_Set_Oinsert(X4,X1,X3) != c_Set_Oinsert(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1981]) ).

cnf(c_0_1981_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | X1 = X2
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | c_Set_Oinsert(X4,X1,X3) != c_Set_Oinsert(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1981]) ).

cnf(c_0_1981_2,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | X1 = X2
    | c_Set_Oinsert(X4,X1,X3) != c_Set_Oinsert(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1981]) ).

cnf(c_0_1981_3,axiom,
    ( c_Set_Oinsert(X4,X1,X3) != c_Set_Oinsert(X4,X2,X3)
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1981]) ).

cnf(c_0_1982_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1982]) ).

cnf(c_0_1982_1,axiom,
    ( ~ hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1982]) ).

cnf(c_0_1983_0,axiom,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1983]) ).

cnf(c_0_1983_1,axiom,
    ( ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1983]) ).

cnf(c_0_1984_0,axiom,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1984]) ).

cnf(c_0_1984_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1984]) ).

cnf(c_0_1985_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = X1
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1985]) ).

cnf(c_0_1985_1,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1985]) ).

cnf(c_0_1986_0,axiom,
    ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1986]) ).

cnf(c_0_1986_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1986]) ).

cnf(c_0_1986_2,axiom,
    ( ~ c_Finite__Set_Ofinite(X3,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1986]) ).

cnf(c_0_1987_0,axiom,
    ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1987]) ).

cnf(c_0_1987_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1987]) ).

cnf(c_0_1987_2,axiom,
    ( ~ c_Finite__Set_Ofinite(X3,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1987]) ).

cnf(c_0_1988_0,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(X2,X3),X1,t_a)
    | c_Hoare__Mirabelle_Ohoare__valids(X2,X3,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1988]) ).

cnf(c_0_1988_1,axiom,
    ( c_Hoare__Mirabelle_Ohoare__valids(X2,X3,t_a)
    | c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(X2,X3),X1,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1988]) ).

cnf(c_0_1988_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),X2))
    | c_Hoare__Mirabelle_Ohoare__valids(X2,X3,t_a)
    | c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(X2,X3),X1,t_a) ),
    inference(literals_permutation,[status(thm)],[c_0_1988]) ).

cnf(c_0_1989_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1989]) ).

cnf(c_0_1989_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1989]) ).

cnf(c_0_1989_2,axiom,
    ( ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1989]) ).

cnf(c_0_1989_3,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1989]) ).

cnf(c_0_1990_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1990]) ).

cnf(c_0_1990_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1990]) ).

cnf(c_0_1990_2,axiom,
    ( ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1990]) ).

cnf(c_0_1990_3,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1990]) ).

cnf(c_0_1991_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1991]) ).

cnf(c_0_1991_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1991]) ).

cnf(c_0_1991_2,axiom,
    ( ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1991]) ).

cnf(c_0_1991_3,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1991]) ).

cnf(c_0_1992_0,axiom,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X4),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1992]) ).

cnf(c_0_1992_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X4),X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1992]) ).

cnf(c_0_1992_2,axiom,
    ( ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X4),X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1992]) ).

cnf(c_0_1992_3,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1992]) ).

cnf(c_0_1993_0,axiom,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X4),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1993]) ).

cnf(c_0_1993_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X4),X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1993]) ).

cnf(c_0_1993_2,axiom,
    ( ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X4),X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1993]) ).

cnf(c_0_1993_3,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1993]) ).

cnf(c_0_1994_0,axiom,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X4),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1994]) ).

cnf(c_0_1994_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X4),X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1994]) ).

cnf(c_0_1994_2,axiom,
    ( ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X4),X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1994]) ).

cnf(c_0_1994_3,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1994]) ).

cnf(c_0_1995_0,axiom,
    ( X1 = X2
    | c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1995]) ).

cnf(c_0_1995_1,axiom,
    ( c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1995]) ).

cnf(c_0_1996_0,axiom,
    ( hAPP(hAPP(X1,hAPP(hAPP(X1,X3),X4)),X5) = hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X4),X5))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1996]) ).

cnf(c_0_1996_1,axiom,
    ( ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | hAPP(hAPP(X1,hAPP(hAPP(X1,X3),X4)),X5) = hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1996]) ).

cnf(c_0_1997_0,axiom,
    ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X1),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1997]) ).

cnf(c_0_1997_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1997]) ).

cnf(c_0_1998_0,axiom,
    ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X1),X3),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1998]) ).

cnf(c_0_1998_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X1),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1998]) ).

cnf(c_0_1999_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1999]) ).

cnf(c_0_1999_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1999]) ).

cnf(c_0_1999_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1999]) ).

cnf(c_0_2000_0,axiom,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2000]) ).

cnf(c_0_2000_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2000]) ).

cnf(c_0_2000_2,axiom,
    ( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2000]) ).

cnf(c_0_2001_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2001]) ).

cnf(c_0_2001_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2001]) ).

cnf(c_0_2001_2,axiom,
    ( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2001]) ).

cnf(c_0_2002_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2002]) ).

cnf(c_0_2002_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2002]) ).

cnf(c_0_2002_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2002]) ).

cnf(c_0_2003_0,axiom,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2003]) ).

cnf(c_0_2003_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2003]) ).

cnf(c_0_2003_2,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2003]) ).

cnf(c_0_2003_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2003]) ).

cnf(c_0_2004_0,axiom,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2004]) ).

cnf(c_0_2004_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2004]) ).

cnf(c_0_2004_2,axiom,
    ( c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2004]) ).

cnf(c_0_2004_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2004]) ).

cnf(c_0_2005_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2005]) ).

cnf(c_0_2005_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2005]) ).

cnf(c_0_2005_2,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2005]) ).

cnf(c_0_2005_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2005]) ).

cnf(c_0_2006_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2006]) ).

cnf(c_0_2006_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3)
    | c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2006]) ).

cnf(c_0_2006_2,axiom,
    ( c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2006]) ).

cnf(c_0_2006_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2006]) ).

cnf(c_0_2007_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2007]) ).

cnf(c_0_2007_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2007]) ).

cnf(c_0_2008_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2008]) ).

cnf(c_0_2008_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2008]) ).

cnf(c_0_2009_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2009]) ).

cnf(c_0_2009_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2009]) ).

cnf(c_0_2010_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
    | ~ class_Lattices_Olower__semilattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2010]) ).

cnf(c_0_2010_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2010]) ).

cnf(c_0_2011_0,axiom,
    ( c_lessequals(X1,X3,X2)
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2011]) ).

cnf(c_0_2011_1,axiom,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | c_lessequals(X1,X3,X2)
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2011]) ).

cnf(c_0_2011_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X2)
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | c_lessequals(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2011]) ).

cnf(c_0_2012_0,axiom,
    ( c_lessequals(X1,X4,X2)
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2012]) ).

cnf(c_0_2012_1,axiom,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | c_lessequals(X1,X4,X2)
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2012]) ).

cnf(c_0_2012_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X2)
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | c_lessequals(X1,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2012]) ).

cnf(c_0_2013_0,axiom,
    ( c_lessequals(X1,X3,X2)
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2013]) ).

cnf(c_0_2013_1,axiom,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | c_lessequals(X1,X3,X2)
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2013]) ).

cnf(c_0_2013_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X2)
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | c_lessequals(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2013]) ).

cnf(c_0_2014_0,axiom,
    ( c_lessequals(X1,X4,X2)
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2014]) ).

cnf(c_0_2014_1,axiom,
    ( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | c_lessequals(X1,X4,X2)
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2014]) ).

cnf(c_0_2014_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X2)
    | ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
    | c_lessequals(X1,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2014]) ).

cnf(c_0_2015_0,axiom,
    ( c_lessequals(X3,X4,X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2015]) ).

cnf(c_0_2015_1,axiom,
    ( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | c_lessequals(X3,X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2015]) ).

cnf(c_0_2015_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | c_lessequals(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2015]) ).

cnf(c_0_2016_0,axiom,
    ( c_lessequals(X2,X4,X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2016]) ).

cnf(c_0_2016_1,axiom,
    ( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | c_lessequals(X2,X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2016]) ).

cnf(c_0_2016_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | c_lessequals(X2,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2016]) ).

cnf(c_0_2017_0,axiom,
    ( c_lessequals(X3,X4,X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2017]) ).

cnf(c_0_2017_1,axiom,
    ( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | c_lessequals(X3,X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2017]) ).

cnf(c_0_2017_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | c_lessequals(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2017]) ).

cnf(c_0_2018_0,axiom,
    ( c_lessequals(X2,X4,X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2018]) ).

cnf(c_0_2018_1,axiom,
    ( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | c_lessequals(X2,X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2018]) ).

cnf(c_0_2018_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
    | c_lessequals(X2,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2018]) ).

cnf(c_0_2019_0,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2019]) ).

cnf(c_0_2019_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2019]) ).

cnf(c_0_2020_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X2) != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2020]) ).

cnf(c_0_2020_1,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X2) != X2
    | c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2020]) ).

cnf(c_0_2021_0,axiom,
    ( c_Finite__Set_Ofinite(X3,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2021]) ).

cnf(c_0_2021_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(X3,X2)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2021]) ).

cnf(c_0_2021_2,axiom,
    ( ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2021]) ).

cnf(c_0_2022_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2022]) ).

cnf(c_0_2022_1,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2022]) ).

cnf(c_0_2023_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2023]) ).

cnf(c_0_2023_1,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2023]) ).

cnf(c_0_2024_0,axiom,
    ( c_lessequals(X2,X1,tc_fun(X3,X4))
    | c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2024]) ).

cnf(c_0_2024_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
    | c_lessequals(X2,X1,tc_fun(X3,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2024]) ).

cnf(c_0_2024_2,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
    | c_lessequals(X2,X1,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2024]) ).

cnf(c_0_2024_3,axiom,
    ( ~ class_HOL_Oord(X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
    | c_lessequals(X2,X1,tc_fun(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2024]) ).

cnf(c_0_2025_0,axiom,
    ( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2025]) ).

cnf(c_0_2025_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2025]) ).

cnf(c_0_2026_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_lessequals(c_Finite__Set_Olinorder__class_OMax(X1,X3),c_Finite__Set_Olinorder__class_OMax(X2,X3),X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2026]) ).

cnf(c_0_2026_1,axiom,
    ( c_lessequals(c_Finite__Set_Olinorder__class_OMax(X1,X3),c_Finite__Set_Olinorder__class_OMax(X2,X3),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2026]) ).

cnf(c_0_2026_2,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Finite__Set_Olinorder__class_OMax(X1,X3),c_Finite__Set_Olinorder__class_OMax(X2,X3),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2026]) ).

cnf(c_0_2026_3,axiom,
    ( ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Finite__Set_Olinorder__class_OMax(X1,X3),c_Finite__Set_Olinorder__class_OMax(X2,X3),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2026]) ).

cnf(c_0_2026_4,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Finite__Set_Olinorder__class_OMax(X1,X3),c_Finite__Set_Olinorder__class_OMax(X2,X3),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2026]) ).

cnf(c_0_2027_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_lessequals(c_Finite__Set_Olinorder__class_OMin(X2,X3),c_Finite__Set_Olinorder__class_OMin(X1,X3),X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2027]) ).

cnf(c_0_2027_1,axiom,
    ( c_lessequals(c_Finite__Set_Olinorder__class_OMin(X2,X3),c_Finite__Set_Olinorder__class_OMin(X1,X3),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2027]) ).

cnf(c_0_2027_2,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Finite__Set_Olinorder__class_OMin(X2,X3),c_Finite__Set_Olinorder__class_OMin(X1,X3),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2027]) ).

cnf(c_0_2027_3,axiom,
    ( ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Finite__Set_Olinorder__class_OMin(X2,X3),c_Finite__Set_Olinorder__class_OMin(X1,X3),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2027]) ).

cnf(c_0_2027_4,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Finite__Set_Olinorder__class_OMin(X2,X3),c_Finite__Set_Olinorder__class_OMin(X1,X3),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2027]) ).

cnf(c_0_2028_0,axiom,
    ( c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__2(X1,X2,X3) = c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__1(X1,X2,X3)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2028]) ).

cnf(c_0_2028_1,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__2(X1,X2,X3) = c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__1(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2028]) ).

cnf(c_0_2029_0,axiom,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Collect(X3,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_2029]) ).

cnf(c_0_2029_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Collect(X3,X1)))
    | hBOOL(hAPP(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2029]) ).

cnf(c_0_2030_0,axiom,
    ( c_lessequals(c_Finite__Set_Olinorder__class_OMin(X1,X2),X3,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2030]) ).

cnf(c_0_2030_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_lessequals(c_Finite__Set_Olinorder__class_OMin(X1,X2),X3,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2030]) ).

cnf(c_0_2030_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_lessequals(c_Finite__Set_Olinorder__class_OMin(X1,X2),X3,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2030]) ).

cnf(c_0_2030_3,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_lessequals(c_Finite__Set_Olinorder__class_OMin(X1,X2),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2030]) ).

cnf(c_0_2031_0,axiom,
    ( c_lessequals(X3,c_Finite__Set_Olinorder__class_OMax(X1,X2),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2031]) ).

cnf(c_0_2031_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_lessequals(X3,c_Finite__Set_Olinorder__class_OMax(X1,X2),X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2031]) ).

cnf(c_0_2031_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_lessequals(X3,c_Finite__Set_Olinorder__class_OMax(X1,X2),X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2031]) ).

cnf(c_0_2031_3,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_lessequals(X3,c_Finite__Set_Olinorder__class_OMax(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2031]) ).

cnf(c_0_2032_0,axiom,
    ( c_HOL_Ominus__class_Ominus(hAPP(X1,v_x),hAPP(X2,v_x),X3) = hAPP(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(t_a,X3)),v_x)
    | ~ class_HOL_Ominus(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2032]) ).

cnf(c_0_2032_1,axiom,
    ( ~ class_HOL_Ominus(X3)
    | c_HOL_Ominus__class_Ominus(hAPP(X1,v_x),hAPP(X2,v_x),X3) = hAPP(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(t_a,X3)),v_x) ),
    inference(literals_permutation,[status(thm)],[c_0_2032]) ).

cnf(c_0_2033_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X2),c_Finite__Set_Olinorder__class_OMin(X1,X2)),X1))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2033]) ).

cnf(c_0_2033_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X2),c_Finite__Set_Olinorder__class_OMin(X1,X2)),X1))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2033]) ).

cnf(c_0_2033_2,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | hBOOL(hAPP(hAPP(c_in(X2),c_Finite__Set_Olinorder__class_OMin(X1,X2)),X1))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2033]) ).

cnf(c_0_2033_3,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | hBOOL(hAPP(hAPP(c_in(X2),c_Finite__Set_Olinorder__class_OMin(X1,X2)),X1))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2033]) ).

cnf(c_0_2034_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X2),c_Finite__Set_Olinorder__class_OMax(X1,X2)),X1))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2034]) ).

cnf(c_0_2034_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X2),c_Finite__Set_Olinorder__class_OMax(X1,X2)),X1))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2034]) ).

cnf(c_0_2034_2,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | hBOOL(hAPP(hAPP(c_in(X2),c_Finite__Set_Olinorder__class_OMax(X1,X2)),X1))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2034]) ).

cnf(c_0_2034_3,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | hBOOL(hAPP(hAPP(c_in(X2),c_Finite__Set_Olinorder__class_OMax(X1,X2)),X1))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2034]) ).

cnf(c_0_2035_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2035]) ).

cnf(c_0_2035_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2035]) ).

cnf(c_0_2036_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X1) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2036]) ).

cnf(c_0_2036_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X1) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2036]) ).

cnf(c_0_2037_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X2) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2037]) ).

cnf(c_0_2037_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2037]) ).

cnf(c_0_2038_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X1) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2038]) ).

cnf(c_0_2038_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2038]) ).

cnf(c_0_2039_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
    | ~ c_lessequals(X2,X1,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2039]) ).

cnf(c_0_2039_1,axiom,
    ( ~ c_lessequals(X2,X1,tc_fun(X3,X4))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2039]) ).

cnf(c_0_2039_2,axiom,
    ( ~ class_HOL_Oord(X4)
    | ~ c_lessequals(X2,X1,tc_fun(X3,X4))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2039]) ).

cnf(c_0_2040_0,axiom,
    ( hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X4),X5)) = hAPP(hAPP(X1,X4),hAPP(hAPP(X1,X3),X5))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2040]) ).

cnf(c_0_2040_1,axiom,
    ( ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X4),X5)) = hAPP(hAPP(X1,X4),hAPP(hAPP(X1,X3),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2040]) ).

cnf(c_0_2041_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X5))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | c_Set_Oinsert(X4,X5,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2041]) ).

cnf(c_0_2041_1,axiom,
    ( ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X5))
    | c_Set_Oinsert(X4,X5,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2041]) ).

cnf(c_0_2041_2,axiom,
    ( c_Set_Oinsert(X4,X5,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2041]) ).

cnf(c_0_2042_0,axiom,
    ( c_lessequals(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2042]) ).

cnf(c_0_2042_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2042]) ).

cnf(c_0_2042_2,axiom,
    ( ~ class_Complete__Lattice_Ocomplete__lattice(X1)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2042]) ).

cnf(c_0_2043_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X4),X1),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2043]) ).

cnf(c_0_2043_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X4),X1),X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2043]) ).

cnf(c_0_2043_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X4),X1),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2043]) ).

cnf(c_0_2044_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X4),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2044]) ).

cnf(c_0_2044_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X4),X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2044]) ).

cnf(c_0_2044_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X4),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2044]) ).

cnf(c_0_2045_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X4),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2045]) ).

cnf(c_0_2045_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X4),X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2045]) ).

cnf(c_0_2045_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X4),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2045]) ).

cnf(c_0_2046_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X4),X1),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2046]) ).

cnf(c_0_2046_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X4),X1),X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2046]) ).

cnf(c_0_2046_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X4),X1),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2046]) ).

cnf(c_0_2047_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X2),X4),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2047]) ).

cnf(c_0_2047_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X2),X4),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2047]) ).

cnf(c_0_2047_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X2),X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2047]) ).

cnf(c_0_2048_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X4),X2),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2048]) ).

cnf(c_0_2048_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X4),X2),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2048]) ).

cnf(c_0_2048_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X4),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2048]) ).

cnf(c_0_2049_0,axiom,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X4),X2),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2049]) ).

cnf(c_0_2049_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X4),X2),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2049]) ).

cnf(c_0_2049_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X4),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2049]) ).

cnf(c_0_2050_0,axiom,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X2),X4),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2050]) ).

cnf(c_0_2050_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X2),X4),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2050]) ).

cnf(c_0_2050_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X2),X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2050]) ).

cnf(c_0_2051_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2051]) ).

cnf(c_0_2051_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2051]) ).

cnf(c_0_2051_2,axiom,
    ( ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2051]) ).

cnf(c_0_2052_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2052]) ).

cnf(c_0_2052_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2052]) ).

cnf(c_0_2052_2,axiom,
    ( ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2052]) ).

cnf(c_0_2053_0,axiom,
    ( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2053]) ).

cnf(c_0_2053_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
    | ~ class_HOL_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2053]) ).

cnf(c_0_2053_2,axiom,
    ( ~ class_HOL_Oord(X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2053]) ).

cnf(c_0_2054_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X2),c_ATP__Linkup_Osko__Set__Xex__in__conv__1__1(X1,X2)),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2054]) ).

cnf(c_0_2054_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X2),c_ATP__Linkup_Osko__Set__Xex__in__conv__1__1(X1,X2)),X1))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2054]) ).

cnf(c_0_2055_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xall__not__in__conv__1__1(X2,X1)),X2))
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2055]) ).

cnf(c_0_2055_1,axiom,
    ( X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xall__not__in__conv__1__1(X2,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2055]) ).

cnf(c_0_2056_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xequals0I__1__1(X2,X1)),X2))
    | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2056]) ).

cnf(c_0_2056_1,axiom,
    ( X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xequals0I__1__1(X2,X1)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2056]) ).

cnf(c_0_2057_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Set_Oinsert(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2057]) ).

cnf(c_0_2057_1,axiom,
    ( c_Set_Oinsert(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2057]) ).

cnf(c_0_2058_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2058]) ).

cnf(c_0_2058_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2058]) ).

cnf(c_0_2058_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2058]) ).

cnf(c_0_2058_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2058]) ).

cnf(c_0_2059_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2059]) ).

cnf(c_0_2059_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2059]) ).

cnf(c_0_2059_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2059]) ).

cnf(c_0_2059_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2059]) ).

cnf(c_0_2060_0,axiom,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2060]) ).

cnf(c_0_2060_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2060]) ).

cnf(c_0_2060_2,axiom,
    ( ~ c_lessequals(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2060]) ).

cnf(c_0_2060_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2060]) ).

cnf(c_0_2061_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2061]) ).

cnf(c_0_2061_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2061]) ).

cnf(c_0_2061_2,axiom,
    ( ~ c_lessequals(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2061]) ).

cnf(c_0_2061_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2061]) ).

cnf(c_0_2062_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2062]) ).

cnf(c_0_2062_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2062]) ).

cnf(c_0_2062_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2062]) ).

cnf(c_0_2062_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2062]) ).

cnf(c_0_2063_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2063]) ).

cnf(c_0_2063_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2063]) ).

cnf(c_0_2063_2,axiom,
    ( ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2063]) ).

cnf(c_0_2063_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2063]) ).

cnf(c_0_2064_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2064]) ).

cnf(c_0_2064_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2064]) ).

cnf(c_0_2064_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2064]) ).

cnf(c_0_2064_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2064]) ).

cnf(c_0_2065_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2065]) ).

cnf(c_0_2065_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2065]) ).

cnf(c_0_2065_2,axiom,
    ( ~ c_lessequals(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2065]) ).

cnf(c_0_2065_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2065]) ).

cnf(c_0_2066_0,axiom,
    ( c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2066]) ).

cnf(c_0_2066_1,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2066]) ).

cnf(c_0_2067_0,axiom,
    ( c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2067]) ).

cnf(c_0_2067_1,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2067]) ).

cnf(c_0_2068_0,axiom,
    ( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1
    | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2068]) ).

cnf(c_0_2068_1,axiom,
    ( ~ class_Complete__Lattice_Ocomplete__lattice(X2)
    | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2068]) ).

cnf(c_0_2069_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2069]) ).

cnf(c_0_2069_1,axiom,
    ( ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2069]) ).

cnf(c_0_2070_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2070]) ).

cnf(c_0_2070_1,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2070]) ).

cnf(c_0_2070_2,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X1,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2070]) ).

cnf(c_0_2071_0,axiom,
    ( c_Set_Oinsert(X2,X3,X1) = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2071]) ).

cnf(c_0_2071_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Set_Oinsert(X2,X3,X1) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2071]) ).

cnf(c_0_2072_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2072]) ).

cnf(c_0_2072_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
    | c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2072]) ).

cnf(c_0_2072_2,axiom,
    ( ~ class_HOL_Oord(X4)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
    | c_lessequals(X1,X2,tc_fun(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2072]) ).

cnf(c_0_2073_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2073]) ).

cnf(c_0_2073_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2073]) ).

cnf(c_0_2074_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2074]) ).

cnf(c_0_2074_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2074]) ).

cnf(c_0_2075_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2075]) ).

cnf(c_0_2075_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2075]) ).

cnf(c_0_2076_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2076]) ).

cnf(c_0_2076_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2076]) ).

cnf(c_0_2077_0,axiom,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2077]) ).

cnf(c_0_2077_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2077]) ).

cnf(c_0_2077_2,axiom,
    ( ~ c_Finite__Set_Ofinite(X3,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2077]) ).

cnf(c_0_2078_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X2),c_Collect(X1,X3)))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2078]) ).

cnf(c_0_2078_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(c_in(X3),X2),c_Collect(X1,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2078]) ).

cnf(c_0_2079_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),c_Complete__Lattice_OSup__class_OSup(X2,X3)) = c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,X2,X3),X3)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2079]) ).

cnf(c_0_2079_1,axiom,
    ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),c_Complete__Lattice_OSup__class_OSup(X2,X3)) = c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2079]) ).

cnf(c_0_2080_0,axiom,
    ( c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2080]) ).

cnf(c_0_2080_1,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3)
    | c_Finite__Set_Ofinite(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2080]) ).

cnf(c_0_2081_0,axiom,
    ( c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2081]) ).

cnf(c_0_2081_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2081]) ).

cnf(c_0_2081_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2081]) ).

cnf(c_0_2081_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2081]) ).

cnf(c_0_2082_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2082]) ).

cnf(c_0_2082_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2082]) ).

cnf(c_0_2082_2,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2082]) ).

cnf(c_0_2083_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2083]) ).

cnf(c_0_2083_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2083]) ).

cnf(c_0_2083_2,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2083]) ).

cnf(c_0_2084_0,axiom,
    ( hBOOL(hAPP(X2,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2084]) ).

cnf(c_0_2084_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2084]) ).

cnf(c_0_2084_2,axiom,
    ( ~ hBOOL(hAPP(X1,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2084]) ).

cnf(c_0_2085_0,axiom,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2085]) ).

cnf(c_0_2085_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2085]) ).

cnf(c_0_2085_2,axiom,
    ( ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2085]) ).

cnf(c_0_2086_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2086]) ).

cnf(c_0_2086_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2086]) ).

cnf(c_0_2087_0,axiom,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2087]) ).

cnf(c_0_2087_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2087]) ).

cnf(c_0_2088_0,axiom,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2088]) ).

cnf(c_0_2088_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2088]) ).

cnf(c_0_2089_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2089]) ).

cnf(c_0_2089_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2089]) ).

cnf(c_0_2089_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2089]) ).

cnf(c_0_2089_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2089]) ).

cnf(c_0_2090_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2090]) ).

cnf(c_0_2090_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2090]) ).

cnf(c_0_2090_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2090]) ).

cnf(c_0_2090_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2090]) ).

cnf(c_0_2091_0,axiom,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2091]) ).

cnf(c_0_2091_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X2 = X1
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2091]) ).

cnf(c_0_2091_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X2 = X1
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2091]) ).

cnf(c_0_2091_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2091]) ).

cnf(c_0_2092_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2092]) ).

cnf(c_0_2092_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | X1 = X2
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2092]) ).

cnf(c_0_2092_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2092]) ).

cnf(c_0_2093_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2093]) ).

cnf(c_0_2093_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | X1 = X2
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2093]) ).

cnf(c_0_2093_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X4)
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2093]) ).

cnf(c_0_2094_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2094]) ).

cnf(c_0_2094_1,axiom,
    ( ~ c_lessequals(X1,X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2094]) ).

cnf(c_0_2094_2,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_lessequals(X1,X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2094]) ).

cnf(c_0_2095_0,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2095]) ).

cnf(c_0_2095_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2095]) ).

cnf(c_0_2095_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2095]) ).

cnf(c_0_2096_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2096]) ).

cnf(c_0_2096_1,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2096]) ).

cnf(c_0_2096_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2096]) ).

cnf(c_0_2097_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2097]) ).

cnf(c_0_2097_1,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2097]) ).

cnf(c_0_2097_2,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2097]) ).

cnf(c_0_2098_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2098]) ).

cnf(c_0_2098_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2098]) ).

cnf(c_0_2098_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2098]) ).

cnf(c_0_2099_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2099]) ).

cnf(c_0_2099_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2099]) ).

cnf(c_0_2099_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2099]) ).

cnf(c_0_2100_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2100]) ).

cnf(c_0_2100_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2100]) ).

cnf(c_0_2100_2,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2100]) ).

cnf(c_0_2101_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2101]) ).

cnf(c_0_2101_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2101]) ).

cnf(c_0_2101_2,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2101]) ).

cnf(c_0_2102_0,axiom,
    ( X2 = X3
    | ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2102]) ).

cnf(c_0_2102_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3))
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2102]) ).

cnf(c_0_2103_0,axiom,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X1),X3),X2)
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2103]) ).

cnf(c_0_2103_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X2)
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X1),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2103]) ).

cnf(c_0_2104_0,axiom,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X1),X2)
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2104]) ).

cnf(c_0_2104_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X2)
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2104]) ).

cnf(c_0_2105_0,axiom,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X1),X2)
    | ~ class_Lattices_Olattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2105]) ).

cnf(c_0_2105_1,axiom,
    ( ~ class_Lattices_Olattice(X2)
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2105]) ).

cnf(c_0_2106_0,axiom,
    ( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X1),X3),X2)
    | ~ class_Lattices_Olattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2106]) ).

cnf(c_0_2106_1,axiom,
    ( ~ class_Lattices_Olattice(X2)
    | c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X1),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2106]) ).

cnf(c_0_2107_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2107]) ).

cnf(c_0_2107_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2107]) ).

cnf(c_0_2108_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2108]) ).

cnf(c_0_2108_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2108]) ).

cnf(c_0_2109_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2109]) ).

cnf(c_0_2109_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X1)
    | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2109]) ).

cnf(c_0_2110_0,axiom,
    ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2110]) ).

cnf(c_0_2110_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X1)
    | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2110]) ).

cnf(c_0_2111_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = X2
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2111]) ).

cnf(c_0_2111_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2111]) ).

cnf(c_0_2112_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = X2
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2112]) ).

cnf(c_0_2112_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2112]) ).

cnf(c_0_2113_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2113]) ).

cnf(c_0_2113_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Finite__Set_Ofinite(X1,X3)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2113]) ).

cnf(c_0_2113_2,axiom,
    ( ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Finite__Set_Ofinite(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2113]) ).

cnf(c_0_2114_0,axiom,
    ( c_Finite__Set_Ofinite(X3,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2114]) ).

cnf(c_0_2114_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(X3,X2)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2114]) ).

cnf(c_0_2114_2,axiom,
    ( ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2114]) ).

cnf(c_0_2115_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2115]) ).

cnf(c_0_2115_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2115]) ).

cnf(c_0_2116_0,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2116]) ).

cnf(c_0_2116_1,axiom,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),X2,X3)
    | c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2116]) ).

cnf(c_0_2117_0,axiom,
    ( X2 = X1
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2117]) ).

cnf(c_0_2117_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2117]) ).

cnf(c_0_2117_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X2 = X1
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2117]) ).

cnf(c_0_2117_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2117]) ).

cnf(c_0_2118_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2118]) ).

cnf(c_0_2118_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2118]) ).

cnf(c_0_2118_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2118]) ).

cnf(c_0_2118_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2118]) ).

cnf(c_0_2119_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2119]) ).

cnf(c_0_2119_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2119]) ).

cnf(c_0_2119_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2119]) ).

cnf(c_0_2119_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2119]) ).

cnf(c_0_2120_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2120]) ).

cnf(c_0_2120_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2120]) ).

cnf(c_0_2120_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2120]) ).

cnf(c_0_2120_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2120]) ).

cnf(c_0_2121_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2121]) ).

cnf(c_0_2121_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2121]) ).

cnf(c_0_2121_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2121]) ).

cnf(c_0_2121_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2121]) ).

cnf(c_0_2122_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2122]) ).

cnf(c_0_2122_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2122]) ).

cnf(c_0_2122_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2122]) ).

cnf(c_0_2122_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2122]) ).

cnf(c_0_2123_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2123]) ).

cnf(c_0_2123_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2123]) ).

cnf(c_0_2123_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2123]) ).

cnf(c_0_2123_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2123]) ).

cnf(c_0_2124_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2124]) ).

cnf(c_0_2124_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2124]) ).

cnf(c_0_2124_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2124]) ).

cnf(c_0_2124_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2124]) ).

cnf(c_0_2125_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2125]) ).

cnf(c_0_2125_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2125]) ).

cnf(c_0_2125_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2125]) ).

cnf(c_0_2126_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2126]) ).

cnf(c_0_2126_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2126]) ).

cnf(c_0_2126_2,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2126]) ).

cnf(c_0_2127_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X2) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2127]) ).

cnf(c_0_2127_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X2) = X1
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2127]) ).

cnf(c_0_2127_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2127]) ).

cnf(c_0_2128_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X1) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2128]) ).

cnf(c_0_2128_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X1) = X1
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2128]) ).

cnf(c_0_2128_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X2),X1) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2128]) ).

cnf(c_0_2129_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X2),X1) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2129]) ).

cnf(c_0_2129_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X2),X1) = X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2129]) ).

cnf(c_0_2129_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X2),X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2129]) ).

cnf(c_0_2130_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X2) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2130]) ).

cnf(c_0_2130_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X2) = X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2130]) ).

cnf(c_0_2130_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2130]) ).

cnf(c_0_2131_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X2) != X1
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2131]) ).

cnf(c_0_2131_1,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X2) != X1
    | c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2131]) ).

cnf(c_0_2131_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X2) != X1
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2131]) ).

cnf(c_0_2132_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X2) != X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2132]) ).

cnf(c_0_2132_1,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X2) != X2
    | c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2132]) ).

cnf(c_0_2132_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X2) != X2
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2132]) ).

cnf(c_0_2133_0,axiom,
    ( c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2133]) ).

cnf(c_0_2133_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2133]) ).

cnf(c_0_2134_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oinsert(c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(X1,X2),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2134]) ).

cnf(c_0_2134_1,axiom,
    ( c_Set_Oinsert(c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(X1,X2),c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(X1,X2),X2) = X1
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2134]) ).

cnf(c_0_2135_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2135]) ).

cnf(c_0_2135_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2135]) ).

cnf(c_0_2135_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2135]) ).

cnf(c_0_2135_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2135]) ).

cnf(c_0_2136_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2136]) ).

cnf(c_0_2136_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2136]) ).

cnf(c_0_2136_2,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2136]) ).

cnf(c_0_2136_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2136]) ).

cnf(c_0_2137_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2137]) ).

cnf(c_0_2137_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2137]) ).

cnf(c_0_2137_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2137]) ).

cnf(c_0_2137_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2137]) ).

cnf(c_0_2138_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2138]) ).

cnf(c_0_2138_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2138]) ).

cnf(c_0_2138_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2138]) ).

cnf(c_0_2138_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2138]) ).

cnf(c_0_2139_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X2 = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2139]) ).

cnf(c_0_2139_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X2 = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2139]) ).

cnf(c_0_2139_2,axiom,
    ( X2 = X1
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2139]) ).

cnf(c_0_2139_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | X2 = X1
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2139]) ).

cnf(c_0_2140_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2140]) ).

cnf(c_0_2140_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2140]) ).

cnf(c_0_2140_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2140]) ).

cnf(c_0_2141_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2141]) ).

cnf(c_0_2141_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X1,X2)
    | c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2141]) ).

cnf(c_0_2141_2,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | c_HOL_Oord__class_Oless(X1,X1,X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2141]) ).

cnf(c_0_2142_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2142]) ).

cnf(c_0_2142_1,axiom,
    ( c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2142]) ).

cnf(c_0_2142_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2142]) ).

cnf(c_0_2143_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2143]) ).

cnf(c_0_2143_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2143]) ).

cnf(c_0_2143_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2143]) ).

cnf(c_0_2144_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2144]) ).

cnf(c_0_2144_1,axiom,
    ( c_lessequals(X2,X1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2144]) ).

cnf(c_0_2144_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2144]) ).

cnf(c_0_2145_0,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Collect(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2145]) ).

cnf(c_0_2145_1,axiom,
    ( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Collect(X1,X3)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2145]) ).

cnf(c_0_2146_0,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_Collect(X1,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2146]) ).

cnf(c_0_2146_1,axiom,
    ( c_Collect(X1,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2146]) ).

cnf(c_0_2147_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2147]) ).

cnf(c_0_2147_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2147]) ).

cnf(c_0_2148_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2148]) ).

cnf(c_0_2148_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2148]) ).

cnf(c_0_2149_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2149]) ).

cnf(c_0_2149_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2149]) ).

cnf(c_0_2150_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2150]) ).

cnf(c_0_2150_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2150]) ).

cnf(c_0_2151_0,axiom,
    ( hAPP(hAPP(X1,X3),X4) = hAPP(hAPP(X1,X4),X3)
    | ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2151]) ).

cnf(c_0_2151_1,axiom,
    ( ~ c_OrderedGroup_Oab__semigroup__mult(X1,X2)
    | hAPP(hAPP(X1,X3),X4) = hAPP(hAPP(X1,X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2151]) ).

cnf(c_0_2152_0,axiom,
    ( X1 = c_Orderings_Otop__class_Otop(X2)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X1) != c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2152]) ).

cnf(c_0_2152_1,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X1) != c_Orderings_Otop__class_Otop(X2)
    | X1 = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2152]) ).

cnf(c_0_2152_2,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X1) != c_Orderings_Otop__class_Otop(X2)
    | X1 = c_Orderings_Otop__class_Otop(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2152]) ).

cnf(c_0_2153_0,axiom,
    ( X1 = c_Orderings_Otop__class_Otop(X2)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X1),X3) != c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2153]) ).

cnf(c_0_2153_1,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X1),X3) != c_Orderings_Otop__class_Otop(X2)
    | X1 = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2153]) ).

cnf(c_0_2153_2,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X1),X3) != c_Orderings_Otop__class_Otop(X2)
    | X1 = c_Orderings_Otop__class_Otop(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2153]) ).

cnf(c_0_2154_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X1),X3) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2154]) ).

cnf(c_0_2154_1,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X1),X3) != c_Orderings_Obot__class_Obot(X2)
    | X1 = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2154]) ).

cnf(c_0_2154_2,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X1),X3) != c_Orderings_Obot__class_Obot(X2)
    | X1 = c_Orderings_Obot__class_Obot(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2154]) ).

cnf(c_0_2155_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X1) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2155]) ).

cnf(c_0_2155_1,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X1) != c_Orderings_Obot__class_Obot(X2)
    | X1 = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2155]) ).

cnf(c_0_2155_2,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X1) != c_Orderings_Obot__class_Obot(X2)
    | X1 = c_Orderings_Obot__class_Obot(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2155]) ).

cnf(c_0_2156_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2156]) ).

cnf(c_0_2156_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2156]) ).

cnf(c_0_2157_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2157]) ).

cnf(c_0_2157_1,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2157]) ).

cnf(c_0_2158_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2158]) ).

cnf(c_0_2158_1,axiom,
    ( ~ class_Orderings_Opreorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2158]) ).

cnf(c_0_2159_0,axiom,
    ( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2159]) ).

cnf(c_0_2159_1,axiom,
    ( ~ class_Complete__Lattice_Ocomplete__lattice(X1)
    | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) = c_Orderings_Otop__class_Otop(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2159]) ).

cnf(c_0_2160_0,axiom,
    ( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2160]) ).

cnf(c_0_2160_1,axiom,
    ( ~ class_Complete__Lattice_Ocomplete__lattice(X1)
    | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2160]) ).

cnf(c_0_2161_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Otop__class_Otop(X1)),X2) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2161]) ).

cnf(c_0_2161_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Otop__class_Otop(X1)),X2) = c_Orderings_Otop__class_Otop(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2161]) ).

cnf(c_0_2162_0,axiom,
    ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Orderings_Otop(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2162]) ).

cnf(c_0_2162_1,axiom,
    ( ~ class_Orderings_Otop(X1)
    | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2162]) ).

cnf(c_0_2163_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Obot__class_Obot(X1)),X2) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2163]) ).

cnf(c_0_2163_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Obot__class_Obot(X1)),X2) = c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2163]) ).

cnf(c_0_2164_0,axiom,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Orderings_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2164]) ).

cnf(c_0_2164_1,axiom,
    ( ~ class_Orderings_Obot(X1)
    | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2164]) ).

cnf(c_0_2165_0,axiom,
    ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2165]) ).

cnf(c_0_2165_1,axiom,
    ( ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2165]) ).

cnf(c_0_2166_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2166]) ).

cnf(c_0_2166_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2166]) ).

cnf(c_0_2167_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Obot__class_Obot(X1)),X2) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2167]) ).

cnf(c_0_2167_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Obot__class_Obot(X1)),X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2167]) ).

cnf(c_0_2168_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Otop__class_Otop(X1)) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2168]) ).

cnf(c_0_2168_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Otop__class_Otop(X1)) = c_Orderings_Otop__class_Otop(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2168]) ).

cnf(c_0_2169_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2169]) ).

cnf(c_0_2169_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2169]) ).

cnf(c_0_2170_0,axiom,
    ( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
    | ~ class_Orderings_Otop(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2170]) ).

cnf(c_0_2170_1,axiom,
    ( ~ class_Orderings_Otop(X2)
    | c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2170]) ).

cnf(c_0_2171_0,axiom,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2171]) ).

cnf(c_0_2171_1,axiom,
    ( ~ class_Orderings_Obot(X1)
    | c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2171]) ).

cnf(c_0_2172_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Otop__class_Otop(X1)) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2172]) ).

cnf(c_0_2172_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Otop__class_Otop(X1)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2172]) ).

cnf(c_0_2173_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Obot__class_Obot(X1)) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2173]) ).

cnf(c_0_2173_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Obot__class_Obot(X1)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2173]) ).

cnf(c_0_2174_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2174]) ).

cnf(c_0_2174_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2174]) ).

cnf(c_0_2175_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2175]) ).

cnf(c_0_2175_1,axiom,
    ( ~ class_Orderings_Opreorder(X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2175]) ).

cnf(c_0_2176_0,axiom,
    ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X2) = X2
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2176]) ).

cnf(c_0_2176_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X1)
    | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2176]) ).

cnf(c_0_2177_0,axiom,
    ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X2) = X2
    | ~ class_Lattices_Olower__semilattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2177]) ).

cnf(c_0_2177_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X1)
    | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2177]) ).

cnf(c_0_2178_0,axiom,
    ( class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
    | ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | ~ class_Finite__Set_Ofinite_Ofinite(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2178]) ).

cnf(c_0_2178_1,axiom,
    ( ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
    | ~ class_Finite__Set_Ofinite_Ofinite(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2178]) ).

cnf(c_0_2178_2,axiom,
    ( ~ class_Finite__Set_Ofinite_Ofinite(X2)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2178]) ).

cnf(c_0_2179_0,axiom,
    ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X2,X1))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2179]) ).

cnf(c_0_2179_1,axiom,
    ( ~ class_Complete__Lattice_Ocomplete__lattice(X1)
    | class_Complete__Lattice_Ocomplete__lattice(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2179]) ).

cnf(c_0_2180_0,axiom,
    ( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2180]) ).

cnf(c_0_2180_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | class_Lattices_Oupper__semilattice(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2180]) ).

cnf(c_0_2181_0,axiom,
    ( class_Lattices_Olower__semilattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2181]) ).

cnf(c_0_2181_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | class_Lattices_Olower__semilattice(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2181]) ).

cnf(c_0_2182_0,axiom,
    ( class_Lattices_Odistrib__lattice(tc_fun(X2,X1))
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2182]) ).

cnf(c_0_2182_1,axiom,
    ( ~ class_Lattices_Odistrib__lattice(X1)
    | class_Lattices_Odistrib__lattice(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2182]) ).

cnf(c_0_2183_0,axiom,
    ( class_Lattices_Obounded__lattice(tc_fun(X2,X1))
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2183]) ).

cnf(c_0_2183_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X1)
    | class_Lattices_Obounded__lattice(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2183]) ).

cnf(c_0_2184_0,axiom,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2184]) ).

cnf(c_0_2184_1,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2184]) ).

cnf(c_0_2185_0,axiom,
    ( class_Lattices_Olattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2185]) ).

cnf(c_0_2185_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | class_Lattices_Olattice(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2185]) ).

cnf(c_0_2186_0,axiom,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2186]) ).

cnf(c_0_2186_1,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2186]) ).

cnf(c_0_2187_0,axiom,
    ( class_Orderings_Otop(tc_fun(X2,X1))
    | ~ class_Orderings_Otop(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2187]) ).

cnf(c_0_2187_1,axiom,
    ( ~ class_Orderings_Otop(X1)
    | class_Orderings_Otop(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2187]) ).

cnf(c_0_2188_0,axiom,
    ( class_Orderings_Obot(tc_fun(X2,X1))
    | ~ class_Orderings_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2188]) ).

cnf(c_0_2188_1,axiom,
    ( ~ class_Orderings_Obot(X1)
    | class_Orderings_Obot(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2188]) ).

cnf(c_0_2189_0,axiom,
    ( class_HOL_Ominus(tc_fun(X2,X1))
    | ~ class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2189]) ).

cnf(c_0_2189_1,axiom,
    ( ~ class_HOL_Ominus(X1)
    | class_HOL_Ominus(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2189]) ).

cnf(c_0_2190_0,axiom,
    ( class_HOL_Oord(tc_fun(X2,X1))
    | ~ class_HOL_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2190]) ).

cnf(c_0_2190_1,axiom,
    ( ~ class_HOL_Oord(X1)
    | class_HOL_Oord(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2190]) ).

cnf(c_0_2191_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Finite__Set_Ofinite_Ofinite(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2191]) ).

cnf(c_0_2191_1,axiom,
    ( ~ class_Finite__Set_Ofinite_Ofinite(X2)
    | c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2191]) ).

cnf(c_0_2192_0,axiom,
    ( class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(X1))
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2192]) ).

cnf(c_0_2192_1,axiom,
    ( ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2192]) ).

cnf(c_0_2193_0,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2193]) ).

cnf(c_0_2193_1,axiom,
    ( c_Suc(X1) != c_Suc(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2193]) ).

cnf(c_0_2194_0,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2194]) ).

cnf(c_0_2194_1,axiom,
    ( c_Suc(X1) != c_Suc(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2194]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_861,negated_conjecture,
    ! [X1] :
      ( c_Hoare__Mirabelle_Otriple__valid(v_x,X1,t_a)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_Ga)) ),
    file('<stdin>',cls_conjecture_2) ).

fof(c_0_1_862,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),
    file('<stdin>',cls_conjecture_0) ).

fof(c_0_2_863,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    file('<stdin>',cls_conjecture_1) ).

fof(c_0_3_864,negated_conjecture,
    ! [X1] :
      ( c_Hoare__Mirabelle_Otriple__valid(v_x,X1,t_a)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_Ga)) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_4_865,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),
    c_0_1 ).

fof(c_0_5_866,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_6_867,negated_conjecture,
    ! [X2] :
      ( c_Hoare__Mirabelle_Otriple__valid(v_x,X2,t_a)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_Ga)) ),
    inference(variable_rename,[status(thm)],[c_0_3]) ).

fof(c_0_7_868,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),
    c_0_4 ).

fof(c_0_8_869,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    c_0_5 ).

cnf(c_0_9_870,negated_conjecture,
    ( c_Hoare__Mirabelle_Otriple__valid(v_x,X1,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_Ga)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10_871,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11_872,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12_873,negated_conjecture,
    ( c_Hoare__Mirabelle_Otriple__valid(v_x,X1,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_Ga)) ),
    c_0_9,
    [final] ).

cnf(c_0_13_874,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),
    c_0_10,
    [final] ).

cnf(c_0_14_875,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    c_0_11,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_1343,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),
    file('/export/starexec/sandbox/tmp/iprover_modulo_2ca1cf.p',c_0_13) ).

cnf(c_1761,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),
    inference(copy,[status(esa)],[c_1343]) ).

cnf(c_1771,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),
    inference(copy,[status(esa)],[c_1761]) ).

cnf(c_1772,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),
    inference(copy,[status(esa)],[c_1771]) ).

cnf(c_1777,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),
    inference(copy,[status(esa)],[c_1772]) ).

cnf(c_5711,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),
    inference(copy,[status(esa)],[c_1777]) ).

cnf(c_1237,plain,
    ~ hBOOL(hAPP(hAPP(c_in(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),
    file('/export/starexec/sandbox/tmp/iprover_modulo_2ca1cf.p',c_0_791_0) ).

cnf(c_5569,plain,
    ~ hBOOL(hAPP(hAPP(c_in(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),
    inference(copy,[status(esa)],[c_1237]) ).

cnf(c_5722,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_5711,c_5569]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV856-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 21:33:11 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Running in mono-core mode
% 0.20/0.53  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.53  % Orientation found
% 0.20/0.53  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_01149b.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_2ca1cf.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_c6830b | grep -v "SZS"
% 0.20/0.55  
% 0.20/0.55  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.55  
% 0.20/0.55  % 
% 0.20/0.55  % ------  iProver source info 
% 0.20/0.55  
% 0.20/0.55  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.55  % git: non_committed_changes: true
% 0.20/0.55  % git: last_make_outside_of_git: true
% 0.20/0.55  
% 0.20/0.55  % 
% 0.20/0.55  % ------ Input Options
% 0.20/0.55  
% 0.20/0.55  % --out_options                         all
% 0.20/0.55  % --tptp_safe_out                       true
% 0.20/0.55  % --problem_path                        ""
% 0.20/0.55  % --include_path                        ""
% 0.20/0.55  % --clausifier                          .//eprover
% 0.20/0.55  % --clausifier_options                  --tstp-format  
% 0.20/0.55  % --stdin                               false
% 0.20/0.55  % --dbg_backtrace                       false
% 0.20/0.55  % --dbg_dump_prop_clauses               false
% 0.20/0.55  % --dbg_dump_prop_clauses_file          -
% 0.20/0.55  % --dbg_out_stat                        false
% 0.20/0.55  
% 0.20/0.55  % ------ General Options
% 0.20/0.55  
% 0.20/0.55  % --fof                                 false
% 0.20/0.55  % --time_out_real                       150.
% 0.20/0.55  % --time_out_prep_mult                  0.2
% 0.20/0.55  % --time_out_virtual                    -1.
% 0.20/0.55  % --schedule                            none
% 0.20/0.55  % --ground_splitting                    input
% 0.20/0.55  % --splitting_nvd                       16
% 0.20/0.55  % --non_eq_to_eq                        false
% 0.20/0.55  % --prep_gs_sim                         true
% 0.20/0.55  % --prep_unflatten                      false
% 0.20/0.55  % --prep_res_sim                        true
% 0.20/0.55  % --prep_upred                          true
% 0.20/0.55  % --res_sim_input                       true
% 0.20/0.55  % --clause_weak_htbl                    true
% 0.20/0.55  % --gc_record_bc_elim                   false
% 0.20/0.55  % --symbol_type_check                   false
% 0.20/0.55  % --clausify_out                        false
% 0.20/0.55  % --large_theory_mode                   false
% 0.20/0.55  % --prep_sem_filter                     none
% 0.20/0.55  % --prep_sem_filter_out                 false
% 0.20/0.55  % --preprocessed_out                    false
% 0.20/0.55  % --sub_typing                          false
% 0.20/0.55  % --brand_transform                     false
% 0.20/0.55  % --pure_diseq_elim                     true
% 0.20/0.55  % --min_unsat_core                      false
% 0.20/0.55  % --pred_elim                           true
% 0.20/0.55  % --add_important_lit                   false
% 0.20/0.55  % --soft_assumptions                    false
% 0.20/0.55  % --reset_solvers                       false
% 0.20/0.55  % --bc_imp_inh                          []
% 0.20/0.55  % --conj_cone_tolerance                 1.5
% 0.20/0.55  % --prolific_symb_bound                 500
% 0.20/0.55  % --lt_threshold                        2000
% 0.20/0.55  
% 0.20/0.55  % ------ SAT Options
% 0.20/0.55  
% 0.20/0.55  % --sat_mode                            false
% 0.20/0.55  % --sat_fm_restart_options              ""
% 0.20/0.55  % --sat_gr_def                          false
% 0.20/0.55  % --sat_epr_types                       true
% 0.20/0.55  % --sat_non_cyclic_types                false
% 0.20/0.55  % --sat_finite_models                   false
% 0.20/0.55  % --sat_fm_lemmas                       false
% 0.20/0.55  % --sat_fm_prep                         false
% 0.20/0.55  % --sat_fm_uc_incr                      true
% 0.20/0.55  % --sat_out_model                       small
% 0.20/0.55  % --sat_out_clauses                     false
% 0.20/0.55  
% 0.20/0.55  % ------ QBF Options
% 0.20/0.55  
% 0.20/0.55  % --qbf_mode                            false
% 0.20/0.55  % --qbf_elim_univ                       true
% 0.20/0.55  % --qbf_sk_in                           true
% 0.20/0.55  % --qbf_pred_elim                       true
% 0.20/0.55  % --qbf_split                           32
% 0.20/0.55  
% 0.20/0.55  % ------ BMC1 Options
% 0.20/0.55  
% 0.20/0.55  % --bmc1_incremental                    false
% 0.20/0.55  % --bmc1_axioms                         reachable_all
% 0.20/0.55  % --bmc1_min_bound                      0
% 0.20/0.55  % --bmc1_max_bound                      -1
% 0.20/0.55  % --bmc1_max_bound_default              -1
% 0.20/0.55  % --bmc1_symbol_reachability            true
% 0.20/0.55  % --bmc1_property_lemmas                false
% 0.20/0.55  % --bmc1_k_induction                    false
% 0.20/0.55  % --bmc1_non_equiv_states               false
% 0.20/0.55  % --bmc1_deadlock                       false
% 0.20/0.55  % --bmc1_ucm                            false
% 0.20/0.55  % --bmc1_add_unsat_core                 none
% 0.20/0.55  % --bmc1_unsat_core_children            false
% 0.20/0.55  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.55  % --bmc1_out_stat                       full
% 0.20/0.55  % --bmc1_ground_init                    false
% 0.20/0.55  % --bmc1_pre_inst_next_state            false
% 0.20/0.55  % --bmc1_pre_inst_state                 false
% 0.20/0.55  % --bmc1_pre_inst_reach_state           false
% 0.20/0.55  % --bmc1_out_unsat_core                 false
% 0.20/0.55  % --bmc1_aig_witness_out                false
% 0.20/0.55  % --bmc1_verbose                        false
% 0.20/0.55  % --bmc1_dump_clauses_tptp              false
% 9.21/9.53  % --bmc1_dump_unsat_core_tptp           false
% 9.21/9.53  % --bmc1_dump_file                      -
% 9.21/9.53  % --bmc1_ucm_expand_uc_limit            128
% 9.21/9.53  % --bmc1_ucm_n_expand_iterations        6
% 9.21/9.53  % --bmc1_ucm_extend_mode                1
% 9.21/9.53  % --bmc1_ucm_init_mode                  2
% 9.21/9.53  % --bmc1_ucm_cone_mode                  none
% 9.21/9.53  % --bmc1_ucm_reduced_relation_type      0
% 9.21/9.53  % --bmc1_ucm_relax_model                4
% 9.21/9.53  % --bmc1_ucm_full_tr_after_sat          true
% 9.21/9.53  % --bmc1_ucm_expand_neg_assumptions     false
% 9.21/9.53  % --bmc1_ucm_layered_model              none
% 9.21/9.53  % --bmc1_ucm_max_lemma_size             10
% 9.21/9.53  
% 9.21/9.53  % ------ AIG Options
% 9.21/9.53  
% 9.21/9.53  % --aig_mode                            false
% 9.21/9.53  
% 9.21/9.53  % ------ Instantiation Options
% 9.21/9.53  
% 9.21/9.53  % --instantiation_flag                  true
% 9.21/9.53  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 9.21/9.53  % --inst_solver_per_active              750
% 9.21/9.53  % --inst_solver_calls_frac              0.5
% 9.21/9.53  % --inst_passive_queue_type             priority_queues
% 9.21/9.53  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 9.21/9.53  % --inst_passive_queues_freq            [25;2]
% 9.21/9.53  % --inst_dismatching                    true
% 9.21/9.53  % --inst_eager_unprocessed_to_passive   true
% 9.21/9.53  % --inst_prop_sim_given                 true
% 9.21/9.53  % --inst_prop_sim_new                   false
% 9.21/9.53  % --inst_orphan_elimination             true
% 9.21/9.53  % --inst_learning_loop_flag             true
% 9.21/9.53  % --inst_learning_start                 3000
% 9.21/9.53  % --inst_learning_factor                2
% 9.21/9.53  % --inst_start_prop_sim_after_learn     3
% 9.21/9.53  % --inst_sel_renew                      solver
% 9.21/9.53  % --inst_lit_activity_flag              true
% 9.21/9.53  % --inst_out_proof                      true
% 9.21/9.53  
% 9.21/9.53  % ------ Resolution Options
% 9.21/9.53  
% 9.21/9.53  % --resolution_flag                     true
% 9.21/9.53  % --res_lit_sel                         kbo_max
% 9.21/9.53  % --res_to_prop_solver                  none
% 9.21/9.53  % --res_prop_simpl_new                  false
% 9.21/9.53  % --res_prop_simpl_given                false
% 9.21/9.53  % --res_passive_queue_type              priority_queues
% 9.21/9.53  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 9.21/9.53  % --res_passive_queues_freq             [15;5]
% 9.21/9.53  % --res_forward_subs                    full
% 9.21/9.53  % --res_backward_subs                   full
% 9.21/9.53  % --res_forward_subs_resolution         true
% 9.21/9.53  % --res_backward_subs_resolution        true
% 9.21/9.53  % --res_orphan_elimination              false
% 9.21/9.53  % --res_time_limit                      1000.
% 9.21/9.53  % --res_out_proof                       true
% 9.21/9.53  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_01149b.s
% 9.21/9.53  % --modulo                              true
% 9.21/9.53  
% 9.21/9.53  % ------ Combination Options
% 9.21/9.53  
% 9.21/9.53  % --comb_res_mult                       1000
% 9.21/9.53  % --comb_inst_mult                      300
% 9.21/9.53  % ------ 
% 9.21/9.53  
% 9.21/9.53  % ------ Parsing...% successful
% 9.21/9.53  
% 9.21/9.53  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 9.21/9.53  
% 9.21/9.53  % ------ Proving...
% 9.21/9.53  % ------ Problem Properties 
% 9.21/9.53  
% 9.21/9.53  % 
% 9.21/9.53  % EPR                                   false
% 9.21/9.53  % Horn                                  false
% 9.21/9.53  % Has equality                          true
% 9.21/9.53  
% 9.21/9.53  % % ------ Input Options Time Limit: Unbounded
% 9.28/9.53  
% 9.28/9.53  
% 9.28/9.53  Compiling...
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% 9.28/9.53  Compiling...
% 9.28/9.53  Loading plugin: done.
% 9.28/9.53  % % ------ Current options:
% 9.28/9.53  
% 9.28/9.53  % ------ Input Options
% 9.28/9.53  
% 9.28/9.53  % --out_options                         all
% 9.28/9.53  % --tptp_safe_out                       true
% 9.28/9.53  % --problem_path                        ""
% 9.28/9.53  % --include_path                        ""
% 9.28/9.53  % --clausifier                          .//eprover
% 9.28/9.53  % --clausifier_options                  --tstp-format  
% 9.28/9.53  % --stdin                               false
% 9.28/9.53  % --dbg_backtrace                       false
% 9.28/9.53  % --dbg_dump_prop_clauses               false
% 9.28/9.53  % --dbg_dump_prop_clauses_file          -
% 9.28/9.53  % --dbg_out_stat                        false
% 9.28/9.53  
% 9.28/9.53  % ------ General Options
% 9.28/9.53  
% 9.28/9.53  % --fof                                 false
% 9.28/9.53  % --time_out_real                       150.
% 9.28/9.53  % --time_out_prep_mult                  0.2
% 9.28/9.53  % --time_out_virtual                    -1.
% 9.28/9.53  % --schedule                            none
% 9.28/9.53  % --ground_splitting                    input
% 9.28/9.53  % --splitting_nvd                       16
% 9.28/9.53  % --non_eq_to_eq                        false
% 9.28/9.53  % --prep_gs_sim                         true
% 9.28/9.53  % --prep_unflatten                      false
% 9.28/9.53  % --prep_res_sim                        true
% 9.28/9.53  % --prep_upred                          true
% 9.28/9.53  % --res_sim_input                       true
% 9.28/9.53  % --clause_weak_htbl                    true
% 9.28/9.53  % --gc_record_bc_elim                   false
% 9.28/9.53  % --symbol_type_check                   false
% 9.28/9.53  % --clausify_out                        false
% 9.28/9.53  % --large_theory_mode                   false
% 9.28/9.53  % --prep_sem_filter                     none
% 9.28/9.53  % --prep_sem_filter_out                 false
% 9.28/9.53  % --preprocessed_out                    false
% 9.28/9.53  % --sub_typing                          false
% 9.28/9.53  % --brand_transform                     false
% 9.28/9.53  % --pure_diseq_elim                     true
% 9.28/9.53  % --min_unsat_core                      false
% 9.28/9.53  % --pred_elim                           true
% 9.28/9.53  % --add_important_lit                   false
% 9.28/9.53  % --soft_assumptions                    false
% 9.28/9.53  % --reset_solvers                       false
% 9.28/9.53  % --bc_imp_inh                          []
% 9.28/9.53  % --conj_cone_tolerance                 1.5
% 9.28/9.53  % --prolific_symb_bound                 500
% 9.28/9.53  % --lt_threshold                        2000
% 9.28/9.53  
% 9.28/9.53  % ------ SAT Options
% 9.28/9.53  
% 9.28/9.53  % --sat_mode                            false
% 9.28/9.53  % --sat_fm_restart_options              ""
% 9.28/9.53  % --sat_gr_def                          false
% 9.28/9.53  % --sat_epr_types                       true
% 9.28/9.53  % --sat_non_cyclic_types                false
% 9.28/9.53  % --sat_finite_models                   false
% 9.28/9.53  % --sat_fm_lemmas                       false
% 9.28/9.53  % --sat_fm_prep                         false
% 9.28/9.53  % --sat_fm_uc_incr                      true
% 9.28/9.53  % --sat_out_model                       small
% 9.28/9.53  % --sat_out_clauses                     false
% 9.28/9.53  
% 9.28/9.53  % ------ QBF Options
% 9.28/9.53  
% 9.28/9.53  % --qbf_mode                            false
% 9.28/9.53  % --qbf_elim_univ                       true
% 9.28/9.53  % --qbf_sk_in                           true
% 9.28/9.53  % --qbf_pred_elim                       true
% 9.28/9.53  % --qbf_split                           32
% 9.28/9.53  
% 9.28/9.53  % ------ BMC1 Options
% 9.28/9.53  
% 9.28/9.53  % --bmc1_incremental                    false
% 9.28/9.53  % --bmc1_axioms                         reachable_all
% 9.28/9.53  % --bmc1_min_bound                      0
% 9.28/9.53  % --bmc1_max_bound                      -1
% 9.28/9.53  % --bmc1_max_bound_default              -1
% 9.28/9.53  % --bmc1_symbol_reachability            true
% 9.28/9.53  % --bmc1_property_lemmas                false
% 9.28/9.53  % --bmc1_k_induction                    false
% 9.28/9.53  % --bmc1_non_equiv_states               false
% 9.28/9.53  % --bmc1_deadlock                       false
% 9.28/9.53  % --bmc1_ucm                            false
% 9.28/9.53  % --bmc1_add_unsat_core                 none
% 9.28/9.53  % --bmc1_unsat_core_children            false
% 9.28/9.53  % --bmc1_unsat_core_extrapolate_axioms  false
% 9.28/9.53  % --bmc1_out_stat                       full
% 9.28/9.53  % --bmc1_ground_init                    false
% 9.28/9.53  % --bmc1_pre_inst_next_state            false
% 9.28/9.53  % --bmc1_pre_inst_state                 false
% 9.28/9.53  % --bmc1_pre_inst_reach_state           false
% 9.28/9.53  % --bmc1_out_unsat_core                 false
% 9.28/9.53  % --bmc1_aig_witness_out                false
% 9.28/9.53  % --bmc1_verbose                        false
% 9.28/9.53  % --bmc1_dump_clauses_tptp              false
% 9.28/9.53  % --bmc1_dump_unsat_core_tptp           false
% 9.28/9.53  % --bmc1_dump_file                      -
% 9.28/9.53  % --bmc1_ucm_expand_uc_limit            128
% 9.28/9.53  % --bmc1_ucm_n_expand_iterations        6
% 9.28/9.53  % --bmc1_ucm_extend_mode                1
% 9.28/9.53  % --bmc1_ucm_init_mode                  2
% 9.28/9.53  % --bmc1_ucm_cone_mode                  none
% 9.28/9.53  % --bmc1_ucm_reduced_relation_type      0
% 9.28/9.53  % --bmc1_ucm_relax_model                4
% 9.28/9.53  % --bmc1_ucm_full_tr_after_sat          true
% 9.28/9.53  % --bmc1_ucm_expand_neg_assumptions     false
% 9.28/9.53  % --bmc1_ucm_layered_model              none
% 9.28/9.53  % --bmc1_ucm_max_lemma_size             10
% 9.28/9.53  
% 9.28/9.53  % ------ AIG Options
% 9.28/9.53  
% 9.28/9.53  % --aig_mode                            false
% 9.28/9.53  
% 9.28/9.53  % ------ Instantiation Options
% 9.28/9.53  
% 9.28/9.53  % --instantiation_flag                  true
% 9.28/9.53  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 9.28/9.53  % --inst_solver_per_active              750
% 9.28/9.53  % --inst_solver_calls_frac              0.5
% 9.28/9.53  % --inst_passive_queue_type             priority_queues
% 9.28/9.53  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 9.28/9.53  % --inst_passive_queues_freq            [25;2]
% 9.28/9.53  % --inst_dismatching                    true
% 9.28/9.53  % --inst_eager_unprocessed_to_passive   true
% 9.28/9.53  % --inst_prop_sim_given                 true
% 9.28/9.53  % --inst_prop_sim_new                   false
% 9.28/9.53  % --inst_orphan_elimination             true
% 9.28/9.53  % --inst_learning_loop_flag             true
% 9.28/9.53  % --inst_learning_start                 3000
% 9.28/9.53  % --inst_learning_factor                2
% 9.28/9.53  % --inst_start_prop_sim_after_learn     3
% 9.28/9.53  % --inst_sel_renew                      solver
% 9.28/9.53  % --inst_lit_activity_flag              true
% 9.28/9.53  % --inst_out_proof                      true
% 9.28/9.53  
% 9.28/9.53  % ------ Resolution Options
% 9.28/9.53  
% 9.28/9.53  % --resolution_flag                     true
% 9.28/9.53  % --res_lit_sel                         kbo_max
% 9.28/9.53  % --res_to_prop_solver                  none
% 9.28/9.53  % --res_prop_simpl_new                  false
% 9.28/9.53  % --res_prop_simpl_given                false
% 9.28/9.53  % --res_passive_queue_type              priority_queues
% 9.28/9.53  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 9.28/9.53  % --res_passive_queues_freq             [15;5]
% 9.28/9.53  % --res_forward_subs                    full
% 9.28/9.53  % --res_backward_subs                   full
% 9.28/9.53  % --res_forward_subs_resolution         true
% 9.28/9.53  % --res_backward_subs_resolution        true
% 9.28/9.53  % --res_orphan_elimination              false
% 9.28/9.53  % --res_time_limit                      1000.
% 9.28/9.53  % --res_out_proof                       true
% 9.28/9.53  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_01149b.s
% 9.28/9.53  % --modulo                              true
% 9.28/9.53  
% 9.28/9.53  % ------ Combination Options
% 9.28/9.53  
% 9.28/9.53  % --comb_res_mult                       1000
% 9.28/9.53  % --comb_inst_mult                      300
% 9.28/9.53  % ------ 
% 9.28/9.53  
% 9.28/9.53  
% 9.28/9.53  
% 9.28/9.53  % ------ Proving...
% 9.28/9.53  % 
% 9.28/9.53  
% 9.28/9.53  
% 9.28/9.53  %  Resolution empty clause
% 9.28/9.53  
% 9.28/9.53  % ------                             Statistics
% 9.28/9.53  
% 9.28/9.53  % ------ General
% 9.28/9.53  
% 9.28/9.53  % num_of_input_clauses:                 1344
% 9.28/9.53  % num_of_input_neg_conjectures:         3
% 9.28/9.53  % num_of_splits:                        0
% 9.28/9.53  % num_of_split_atoms:                   0
% 9.28/9.53  % num_of_sem_filtered_clauses:          0
% 9.28/9.53  % num_of_subtypes:                      0
% 9.28/9.53  % monotx_restored_types:                0
% 9.28/9.53  % sat_num_of_epr_types:                 0
% 9.28/9.53  % sat_num_of_non_cyclic_types:          0
% 9.28/9.53  % sat_guarded_non_collapsed_types:      0
% 9.28/9.53  % is_epr:                               0
% 9.28/9.53  % is_horn:                              0
% 9.28/9.53  % has_eq:                               1
% 9.28/9.53  % num_pure_diseq_elim:                  0
% 9.28/9.53  % simp_replaced_by:                     0
% 9.28/9.53  % res_preprocessed:                     6
% 9.28/9.53  % prep_upred:                           0
% 9.28/9.53  % prep_unflattend:                      0
% 9.28/9.53  % pred_elim_cands:                      0
% 9.28/9.53  % pred_elim:                            0
% 9.28/9.53  % pred_elim_cl:                         0
% 9.28/9.53  % pred_elim_cycles:                     0
% 9.28/9.53  % forced_gc_time:                       0
% 9.28/9.53  % gc_basic_clause_elim:                 0
% 9.28/9.53  % parsing_time:                         0.088
% 9.28/9.53  % sem_filter_time:                      0.
% 9.28/9.53  % pred_elim_time:                       0.
% 9.28/9.53  % out_proof_time:                       0.
% 9.28/9.53  % monotx_time:                          0.
% 9.28/9.53  % subtype_inf_time:                     0.
% 9.28/9.53  % unif_index_cands_time:                0.
% 9.28/9.53  % unif_index_add_time:                  0.001
% 9.28/9.53  % total_time:                           8.994
% 9.28/9.53  % num_of_symbols:                       106
% 9.28/9.53  % num_of_terms:                         4808
% 9.28/9.53  
% 9.28/9.53  % ------ Propositional Solver
% 9.28/9.53  
% 9.28/9.53  % prop_solver_calls:                    1
% 9.28/9.53  % prop_fast_solver_calls:               12
% 9.28/9.53  % prop_num_of_clauses:                  1341
% 9.28/9.53  % prop_preprocess_simplified:           4013
% 9.28/9.53  % prop_fo_subsumed:                     0
% 9.28/9.53  % prop_solver_time:                     0.
% 9.28/9.53  % prop_fast_solver_time:                0.
% 9.28/9.53  % prop_unsat_core_time:                 0.
% 9.28/9.53  
% 9.28/9.53  % ------ QBF 
% 9.28/9.53  
% 9.28/9.53  % qbf_q_res:                            0
% 9.28/9.53  % qbf_num_tautologies:                  0
% 9.28/9.53  % qbf_prep_cycles:                      0
% 9.28/9.53  
% 9.28/9.53  % ------ BMC1
% 9.28/9.53  
% 9.28/9.53  % bmc1_current_bound:                   -1
% 9.28/9.53  % bmc1_last_solved_bound:               -1
% 9.28/9.53  % bmc1_unsat_core_size:                 -1
% 9.28/9.53  % bmc1_unsat_core_parents_size:         -1
% 9.28/9.53  % bmc1_merge_next_fun:                  0
% 9.28/9.53  % bmc1_unsat_core_clauses_time:         0.
% 9.28/9.53  
% 9.28/9.53  % ------ Instantiation
% 9.28/9.53  
% 9.28/9.53  % inst_num_of_clauses:                  1193
% 9.28/9.53  % inst_num_in_passive:                  0
% 9.28/9.53  % inst_num_in_active:                   0
% 9.28/9.53  % inst_num_in_unprocessed:              1344
% 9.28/9.53  % inst_num_of_loops:                    0
% 9.28/9.53  % inst_num_of_learning_restarts:        0
% 9.28/9.53  % inst_num_moves_active_passive:        0
% 9.28/9.53  % inst_lit_activity:                    0
% 9.28/9.53  % inst_lit_activity_moves:              0
% 9.28/9.53  % inst_num_tautologies:                 0
% 9.28/9.53  % inst_num_prop_implied:                0
% 9.28/9.53  % inst_num_existing_simplified:         0
% 9.28/9.53  % inst_num_eq_res_simplified:           0
% 9.28/9.53  % inst_num_child_elim:                  0
% 9.28/9.53  % inst_num_of_dismatching_blockings:    0
% 9.28/9.53  % inst_num_of_non_proper_insts:         0
% 9.28/9.53  % inst_num_of_duplicates:               0
% 9.28/9.53  % inst_inst_num_from_inst_to_res:       0
% 9.28/9.53  % inst_dismatching_checking_time:       0.
% 9.28/9.53  
% 9.28/9.53  % ------ Resolution
% 9.28/9.53  
% 9.28/9.53  % res_num_of_clauses:                   1318
% 9.28/9.53  % res_num_in_passive:                   4
% 9.28/9.53  % res_num_in_active:                    521
% 9.28/9.53  % res_num_of_loops:                     2
% 9.28/9.53  % res_forward_subset_subsumed:          720
% 9.28/9.53  % res_backward_subset_subsumed:         4
% 9.28/9.53  % res_forward_subsumed:                 0
% 9.28/9.53  % res_backward_subsumed:                0
% 9.28/9.53  % res_forward_subsumption_resolution:   1
% 9.28/9.53  % res_backward_subsumption_resolution:  0
% 9.28/9.53  % res_clause_to_clause_subsumption:     2
% 9.28/9.53  % res_orphan_elimination:               0
% 9.28/9.53  % res_tautology_del:                    0
% 9.28/9.53  % res_num_eq_res_simplified:            0
% 9.28/9.53  % res_num_sel_changes:                  0
% 9.28/9.53  % res_moves_from_active_to_pass:        0
% 9.28/9.53  
% 9.28/9.53  % Status Unsatisfiable
% 9.28/9.53  % SZS status Unsatisfiable
% 9.28/9.53  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------